[{"breadcrumbs":"讲义<i>></i>","component":[{"id":3547206,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"讲义下载","parent_id":3547205,"level_no":665,"created_at":"2022-08-16 10:41:51","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":7,"sort_index":665,"origin_id":0,"type":0}]},{"breadcrumbs":"导学<i>></i>","component":[{"id":3700628,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"导学","parent_id":3547207,"level_no":667,"created_at":"2022-09-16 15:11:40","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":667,"origin_id":0,"type":0,"video_id":"mda-ef9f7ef6486eae887f9c827456250077","video_time":1902}]},{"breadcrumbs":"考点荟萃<i>></i>计算问题<i>></i>和差倍比<i>></i>","component":[{"id":3700629,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"01-和差倍比","parent_id":3635924,"level_no":671,"created_at":"2022-09-16 15:11:40","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":671,"origin_id":0,"type":0,"video_id":"1","video_time":1983},{"id":3700630,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"02-和差倍比","parent_id":3635924,"level_no":672,"created_at":"2022-09-16 15:11:40","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":672,"origin_id":0,"type":0,"video_id":"1","video_time":2106},{"id":3700631,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"03-和差倍比","parent_id":3635924,"level_no":673,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":673,"origin_id":0,"type":0,"video_id":"1","video_time":2029}]},{"breadcrumbs":"考点荟萃<i>></i>计算问题<i>></i>等差数列<i>></i>","component":[{"id":3700632,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"等差数列","parent_id":3635925,"level_no":675,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":675,"origin_id":0,"type":0,"video_id":"1","video_time":2323}]},{"breadcrumbs":"考点荟萃<i>></i>行程问题<i>></i>基本行程<i>></i>","component":[{"id":3700633,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"基本行程","parent_id":3635926,"level_no":678,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":678,"origin_id":0,"type":0,"video_id":"1","video_time":2651}]},{"breadcrumbs":"考点荟萃<i>></i>行程问题<i>></i>相遇追及<i>></i>","component":[{"id":3700634,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"相遇追及","parent_id":3635927,"level_no":680,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":680,"origin_id":0,"type":0,"video_id":"1","video_time":2735}]},{"breadcrumbs":"考点荟萃<i>></i>排列组合问题<i>></i>","component":[{"id":3700635,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"01-排列组合问题","parent_id":3635308,"level_no":682,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":682,"origin_id":0,"type":0,"video_id":"1","video_time":3041},{"id":3700636,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"02-排列组合问题","parent_id":3635308,"level_no":683,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":683,"origin_id":0,"type":0,"video_id":"1","video_time":3138}]},{"breadcrumbs":"考点荟萃<i>></i>古典概率<i>></i>","component":[{"id":3700637,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"古典概率","parent_id":3635309,"level_no":685,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":685,"origin_id":0,"type":0,"video_id":"1","video_time":2376}]},{"breadcrumbs":"考点荟萃<i>></i>工程问题<i>></i>","component":[{"id":3700638,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"01-工程问题","parent_id":3635310,"level_no":687,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":687,"origin_id":0,"type":0,"video_id":"1","video_time":2318},{"id":3700639,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"02-工程问题","parent_id":3635310,"level_no":688,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":688,"origin_id":0,"type":0,"video_id":"1","video_time":2190}]},{"breadcrumbs":"考点荟萃<i>></i>利润问题<i>></i>","component":[{"id":3700640,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"利润问题","parent_id":3635311,"level_no":690,"created_at":"2022-09-16 15:11:43","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":690,"origin_id":0,"type":0,"video_id":"1","video_time":2575}]},{"breadcrumbs":"考点荟萃<i>></i>极值问题<i>></i>和定最值<i>></i>","component":[{"id":3700641,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"01-和定最值","parent_id":3635930,"level_no":693,"created_at":"2022-09-16 15:11:43","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":693,"origin_id":0,"type":0,"video_id":"1","video_time":2371},{"id":3727556,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"02-和定最值","parent_id":3635930,"level_no":694,"created_at":"2022-09-21 16:11:51","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":694,"origin_id":0,"type":0,"video_id":"1","video_time":1292}]},{"breadcrumbs":"考点荟萃<i>></i>极值问题<i>></i>最不利原则<i>></i>","component":[{"id":3727557,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"最不利原则","parent_id":3635931,"level_no":696,"created_at":"2022-09-21 16:11:51","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":696,"origin_id":0,"type":0,"video_id":"1","video_time":3053}]},{"breadcrumbs":"考点荟萃<i>></i>几何问题<i>></i>基本公式<i>></i>","component":[{"id":3727558,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"基本公式","parent_id":3635932,"level_no":699,"created_at":"2022-09-21 16:11:51","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":699,"origin_id":0,"type":0,"video_id":"1","video_time":2175}]},{"breadcrumbs":"考点荟萃<i>></i>几何问题<i>></i>解直角三角形<i>></i>","component":[{"id":3727559,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"解直角三角形","parent_id":3635933,"level_no":701,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":701,"origin_id":0,"type":0,"video_id":"1","video_time":2351}]},{"breadcrumbs":"考点荟萃<i>></i>几何问题<i>></i>相似三角形<i>></i>","component":[{"id":3727560,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"相似三角形","parent_id":3635934,"level_no":703,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":703,"origin_id":0,"type":0,"video_id":"1","video_time":2579}]},{"breadcrumbs":"考点荟萃<i>></i>容斥问题<i>></i>两者容斥<i>></i>","component":[{"id":3727561,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"两者容斥","parent_id":3635935,"level_no":706,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":706,"origin_id":0,"type":0,"video_id":"1","video_time":2169}]},{"breadcrumbs":"考点荟萃<i>></i>容斥问题<i>></i>三者容斥<i>></i>","component":[{"id":3727562,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"三者容斥","parent_id":3635936,"level_no":708,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":708,"origin_id":0,"type":0,"video_id":"1","video_time":2961}]},{"breadcrumbs":"思维导图专项总结<i>></i>","component":[{"id":3727563,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"思维导图","parent_id":3635315,"level_no":710,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":710,"origin_id":0,"type":0,"video_id":"1","video_time":2554}]},{"breadcrumbs":"试题精讲<i>></i>","component":[{"id":3727564,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"01-试题精讲","parent_id":3635316,"level_no":712,"created_at":"2022-09-21 16:11:53","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":712,"origin_id":0,"type":0,"video_id":"1","video_time":2871},{"id":3727565,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"02-试题精讲","parent_id":3635316,"level_no":713,"created_at":"2022-09-21 16:11:53","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":713,"origin_id":0,"type":0,"video_id":"1","video_time":2616},{"id":3727566,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"03-试题精讲","parent_id":3635316,"level_no":714,"created_at":"2022-09-21 16:11:53","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":714,"origin_id":0,"type":0,"video_id":"1","video_time":3092}]}]
讲义>
[{"breadcrumbs":"讲义<i>></i>","component":[{"id":3547206,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"讲义下载","parent_id":3547205,"level_no":665,"created_at":"2022-08-16 10:41:51","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":7,"sort_index":665,"origin_id":0,"type":0}]},{"breadcrumbs":"导学<i>></i>","component":[{"id":3700628,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"导学","parent_id":3547207,"level_no":667,"created_at":"2022-09-16 15:11:40","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":667,"origin_id":0,"type":0,"video_id":"mda-ef9f7ef6486eae887f9c827456250077","video_time":1902}]},{"breadcrumbs":"考点荟萃<i>></i>计算问题<i>></i>和差倍比<i>></i>","component":[{"id":3700629,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"01-和差倍比","parent_id":3635924,"level_no":671,"created_at":"2022-09-16 15:11:40","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":671,"origin_id":0,"type":0,"video_id":"1","video_time":1983},{"id":3700630,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"02-和差倍比","parent_id":3635924,"level_no":672,"created_at":"2022-09-16 15:11:40","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":672,"origin_id":0,"type":0,"video_id":"1","video_time":2106},{"id":3700631,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"03-和差倍比","parent_id":3635924,"level_no":673,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":673,"origin_id":0,"type":0,"video_id":"1","video_time":2029}]},{"breadcrumbs":"考点荟萃<i>></i>计算问题<i>></i>等差数列<i>></i>","component":[{"id":3700632,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"等差数列","parent_id":3635925,"level_no":675,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":675,"origin_id":0,"type":0,"video_id":"1","video_time":2323}]},{"breadcrumbs":"考点荟萃<i>></i>行程问题<i>></i>基本行程<i>></i>","component":[{"id":3700633,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"基本行程","parent_id":3635926,"level_no":678,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":678,"origin_id":0,"type":0,"video_id":"1","video_time":2651}]},{"breadcrumbs":"考点荟萃<i>></i>行程问题<i>></i>相遇追及<i>></i>","component":[{"id":3700634,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"相遇追及","parent_id":3635927,"level_no":680,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":680,"origin_id":0,"type":0,"video_id":"1","video_time":2735}]},{"breadcrumbs":"考点荟萃<i>></i>排列组合问题<i>></i>","component":[{"id":3700635,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"01-排列组合问题","parent_id":3635308,"level_no":682,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":682,"origin_id":0,"type":0,"video_id":"1","video_time":3041},{"id":3700636,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"02-排列组合问题","parent_id":3635308,"level_no":683,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":683,"origin_id":0,"type":0,"video_id":"1","video_time":3138}]},{"breadcrumbs":"考点荟萃<i>></i>古典概率<i>></i>","component":[{"id":3700637,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"古典概率","parent_id":3635309,"level_no":685,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":685,"origin_id":0,"type":0,"video_id":"1","video_time":2376}]},{"breadcrumbs":"考点荟萃<i>></i>工程问题<i>></i>","component":[{"id":3700638,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"01-工程问题","parent_id":3635310,"level_no":687,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":687,"origin_id":0,"type":0,"video_id":"1","video_time":2318},{"id":3700639,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"02-工程问题","parent_id":3635310,"level_no":688,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":688,"origin_id":0,"type":0,"video_id":"1","video_time":2190}]},{"breadcrumbs":"考点荟萃<i>></i>利润问题<i>></i>","component":[{"id":3700640,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"利润问题","parent_id":3635311,"level_no":690,"created_at":"2022-09-16 15:11:43","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":690,"origin_id":0,"type":0,"video_id":"1","video_time":2575}]},{"breadcrumbs":"考点荟萃<i>></i>极值问题<i>></i>和定最值<i>></i>","component":[{"id":3700641,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"01-和定最值","parent_id":3635930,"level_no":693,"created_at":"2022-09-16 15:11:43","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":693,"origin_id":0,"type":0,"video_id":"1","video_time":2371},{"id":3727556,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"02-和定最值","parent_id":3635930,"level_no":694,"created_at":"2022-09-21 16:11:51","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":694,"origin_id":0,"type":0,"video_id":"1","video_time":1292}]},{"breadcrumbs":"考点荟萃<i>></i>极值问题<i>></i>最不利原则<i>></i>","component":[{"id":3727557,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"最不利原则","parent_id":3635931,"level_no":696,"created_at":"2022-09-21 16:11:51","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":696,"origin_id":0,"type":0,"video_id":"1","video_time":3053}]},{"breadcrumbs":"考点荟萃<i>></i>几何问题<i>></i>基本公式<i>></i>","component":[{"id":3727558,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"基本公式","parent_id":3635932,"level_no":699,"created_at":"2022-09-21 16:11:51","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":699,"origin_id":0,"type":0,"video_id":"1","video_time":2175}]},{"breadcrumbs":"考点荟萃<i>></i>几何问题<i>></i>解直角三角形<i>></i>","component":[{"id":3727559,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"解直角三角形","parent_id":3635933,"level_no":701,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":701,"origin_id":0,"type":0,"video_id":"1","video_time":2351}]},{"breadcrumbs":"考点荟萃<i>></i>几何问题<i>></i>相似三角形<i>></i>","component":[{"id":3727560,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"相似三角形","parent_id":3635934,"level_no":703,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":703,"origin_id":0,"type":0,"video_id":"1","video_time":2579}]},{"breadcrumbs":"考点荟萃<i>></i>容斥问题<i>></i>两者容斥<i>></i>","component":[{"id":3727561,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"两者容斥","parent_id":3635935,"level_no":706,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":706,"origin_id":0,"type":0,"video_id":"1","video_time":2169}]},{"breadcrumbs":"考点荟萃<i>></i>容斥问题<i>></i>三者容斥<i>></i>","component":[{"id":3727562,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"三者容斥","parent_id":3635936,"level_no":708,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":708,"origin_id":0,"type":0,"video_id":"1","video_time":2961}]},{"breadcrumbs":"思维导图专项总结<i>></i>","component":[{"id":3727563,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"思维导图","parent_id":3635315,"level_no":710,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":710,"origin_id":0,"type":0,"video_id":"1","video_time":2554}]},{"breadcrumbs":"试题精讲<i>></i>","component":[{"id":3727564,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"01-试题精讲","parent_id":3635316,"level_no":712,"created_at":"2022-09-21 16:11:53","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":712,"origin_id":0,"type":0,"video_id":"1","video_time":2871},{"id":3727565,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"02-试题精讲","parent_id":3635316,"level_no":713,"created_at":"2022-09-21 16:11:53","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":713,"origin_id":0,"type":0,"video_id":"1","video_time":2616},{"id":3727566,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"03-试题精讲","parent_id":3635316,"level_no":714,"created_at":"2022-09-21 16:11:53","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":714,"origin_id":0,"type":0,"video_id":"1","video_time":3092}]}]
导学>
[{"breadcrumbs":"讲义<i>></i>","component":[{"id":3547206,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"讲义下载","parent_id":3547205,"level_no":665,"created_at":"2022-08-16 10:41:51","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":7,"sort_index":665,"origin_id":0,"type":0}]},{"breadcrumbs":"导学<i>></i>","component":[{"id":3700628,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"导学","parent_id":3547207,"level_no":667,"created_at":"2022-09-16 15:11:40","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":667,"origin_id":0,"type":0,"video_id":"mda-ef9f7ef6486eae887f9c827456250077","video_time":1902}]},{"breadcrumbs":"考点荟萃<i>></i>计算问题<i>></i>和差倍比<i>></i>","component":[{"id":3700629,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"01-和差倍比","parent_id":3635924,"level_no":671,"created_at":"2022-09-16 15:11:40","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":671,"origin_id":0,"type":0,"video_id":"1","video_time":1983},{"id":3700630,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"02-和差倍比","parent_id":3635924,"level_no":672,"created_at":"2022-09-16 15:11:40","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":672,"origin_id":0,"type":0,"video_id":"1","video_time":2106},{"id":3700631,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"03-和差倍比","parent_id":3635924,"level_no":673,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":673,"origin_id":0,"type":0,"video_id":"1","video_time":2029}]},{"breadcrumbs":"考点荟萃<i>></i>计算问题<i>></i>等差数列<i>></i>","component":[{"id":3700632,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"等差数列","parent_id":3635925,"level_no":675,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":675,"origin_id":0,"type":0,"video_id":"1","video_time":2323}]},{"breadcrumbs":"考点荟萃<i>></i>行程问题<i>></i>基本行程<i>></i>","component":[{"id":3700633,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"基本行程","parent_id":3635926,"level_no":678,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":678,"origin_id":0,"type":0,"video_id":"1","video_time":2651}]},{"breadcrumbs":"考点荟萃<i>></i>行程问题<i>></i>相遇追及<i>></i>","component":[{"id":3700634,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"相遇追及","parent_id":3635927,"level_no":680,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":680,"origin_id":0,"type":0,"video_id":"1","video_time":2735}]},{"breadcrumbs":"考点荟萃<i>></i>排列组合问题<i>></i>","component":[{"id":3700635,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"01-排列组合问题","parent_id":3635308,"level_no":682,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":682,"origin_id":0,"type":0,"video_id":"1","video_time":3041},{"id":3700636,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"02-排列组合问题","parent_id":3635308,"level_no":683,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":683,"origin_id":0,"type":0,"video_id":"1","video_time":3138}]},{"breadcrumbs":"考点荟萃<i>></i>古典概率<i>></i>","component":[{"id":3700637,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"古典概率","parent_id":3635309,"level_no":685,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":685,"origin_id":0,"type":0,"video_id":"1","video_time":2376}]},{"breadcrumbs":"考点荟萃<i>></i>工程问题<i>></i>","component":[{"id":3700638,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"01-工程问题","parent_id":3635310,"level_no":687,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":687,"origin_id":0,"type":0,"video_id":"1","video_time":2318},{"id":3700639,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"02-工程问题","parent_id":3635310,"level_no":688,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":688,"origin_id":0,"type":0,"video_id":"1","video_time":2190}]},{"breadcrumbs":"考点荟萃<i>></i>利润问题<i>></i>","component":[{"id":3700640,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"利润问题","parent_id":3635311,"level_no":690,"created_at":"2022-09-16 15:11:43","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":690,"origin_id":0,"type":0,"video_id":"1","video_time":2575}]},{"breadcrumbs":"考点荟萃<i>></i>极值问题<i>></i>和定最值<i>></i>","component":[{"id":3700641,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"01-和定最值","parent_id":3635930,"level_no":693,"created_at":"2022-09-16 15:11:43","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":693,"origin_id":0,"type":0,"video_id":"1","video_time":2371},{"id":3727556,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"02-和定最值","parent_id":3635930,"level_no":694,"created_at":"2022-09-21 16:11:51","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":694,"origin_id":0,"type":0,"video_id":"1","video_time":1292}]},{"breadcrumbs":"考点荟萃<i>></i>极值问题<i>></i>最不利原则<i>></i>","component":[{"id":3727557,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"最不利原则","parent_id":3635931,"level_no":696,"created_at":"2022-09-21 16:11:51","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":696,"origin_id":0,"type":0,"video_id":"1","video_time":3053}]},{"breadcrumbs":"考点荟萃<i>></i>几何问题<i>></i>基本公式<i>></i>","component":[{"id":3727558,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"基本公式","parent_id":3635932,"level_no":699,"created_at":"2022-09-21 16:11:51","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":699,"origin_id":0,"type":0,"video_id":"1","video_time":2175}]},{"breadcrumbs":"考点荟萃<i>></i>几何问题<i>></i>解直角三角形<i>></i>","component":[{"id":3727559,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"解直角三角形","parent_id":3635933,"level_no":701,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":701,"origin_id":0,"type":0,"video_id":"1","video_time":2351}]},{"breadcrumbs":"考点荟萃<i>></i>几何问题<i>></i>相似三角形<i>></i>","component":[{"id":3727560,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"相似三角形","parent_id":3635934,"level_no":703,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":703,"origin_id":0,"type":0,"video_id":"1","video_time":2579}]},{"breadcrumbs":"考点荟萃<i>></i>容斥问题<i>></i>两者容斥<i>></i>","component":[{"id":3727561,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"两者容斥","parent_id":3635935,"level_no":706,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":706,"origin_id":0,"type":0,"video_id":"1","video_time":2169}]},{"breadcrumbs":"考点荟萃<i>></i>容斥问题<i>></i>三者容斥<i>></i>","component":[{"id":3727562,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"三者容斥","parent_id":3635936,"level_no":708,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":708,"origin_id":0,"type":0,"video_id":"1","video_time":2961}]},{"breadcrumbs":"思维导图专项总结<i>></i>","component":[{"id":3727563,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"思维导图","parent_id":3635315,"level_no":710,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":710,"origin_id":0,"type":0,"video_id":"1","video_time":2554}]},{"breadcrumbs":"试题精讲<i>></i>","component":[{"id":3727564,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"01-试题精讲","parent_id":3635316,"level_no":712,"created_at":"2022-09-21 16:11:53","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":712,"origin_id":0,"type":0,"video_id":"1","video_time":2871},{"id":3727565,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"02-试题精讲","parent_id":3635316,"level_no":713,"created_at":"2022-09-21 16:11:53","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":713,"origin_id":0,"type":0,"video_id":"1","video_time":2616},{"id":3727566,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"03-试题精讲","parent_id":3635316,"level_no":714,"created_at":"2022-09-21 16:11:53","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":714,"origin_id":0,"type":0,"video_id":"1","video_time":3092}]}]
考点荟萃>计算问题>和差倍比>
[{"breadcrumbs":"讲义<i>></i>","component":[{"id":3547206,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"讲义下载","parent_id":3547205,"level_no":665,"created_at":"2022-08-16 10:41:51","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":7,"sort_index":665,"origin_id":0,"type":0}]},{"breadcrumbs":"导学<i>></i>","component":[{"id":3700628,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"导学","parent_id":3547207,"level_no":667,"created_at":"2022-09-16 15:11:40","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":667,"origin_id":0,"type":0,"video_id":"mda-ef9f7ef6486eae887f9c827456250077","video_time":1902}]},{"breadcrumbs":"考点荟萃<i>></i>计算问题<i>></i>和差倍比<i>></i>","component":[{"id":3700629,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"01-和差倍比","parent_id":3635924,"level_no":671,"created_at":"2022-09-16 15:11:40","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":671,"origin_id":0,"type":0,"video_id":"1","video_time":1983},{"id":3700630,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"02-和差倍比","parent_id":3635924,"level_no":672,"created_at":"2022-09-16 15:11:40","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":672,"origin_id":0,"type":0,"video_id":"1","video_time":2106},{"id":3700631,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"03-和差倍比","parent_id":3635924,"level_no":673,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":673,"origin_id":0,"type":0,"video_id":"1","video_time":2029}]},{"breadcrumbs":"考点荟萃<i>></i>计算问题<i>></i>等差数列<i>></i>","component":[{"id":3700632,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"等差数列","parent_id":3635925,"level_no":675,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":675,"origin_id":0,"type":0,"video_id":"1","video_time":2323}]},{"breadcrumbs":"考点荟萃<i>></i>行程问题<i>></i>基本行程<i>></i>","component":[{"id":3700633,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"基本行程","parent_id":3635926,"level_no":678,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":678,"origin_id":0,"type":0,"video_id":"1","video_time":2651}]},{"breadcrumbs":"考点荟萃<i>></i>行程问题<i>></i>相遇追及<i>></i>","component":[{"id":3700634,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"相遇追及","parent_id":3635927,"level_no":680,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":680,"origin_id":0,"type":0,"video_id":"1","video_time":2735}]},{"breadcrumbs":"考点荟萃<i>></i>排列组合问题<i>></i>","component":[{"id":3700635,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"01-排列组合问题","parent_id":3635308,"level_no":682,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":682,"origin_id":0,"type":0,"video_id":"1","video_time":3041},{"id":3700636,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"02-排列组合问题","parent_id":3635308,"level_no":683,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":683,"origin_id":0,"type":0,"video_id":"1","video_time":3138}]},{"breadcrumbs":"考点荟萃<i>></i>古典概率<i>></i>","component":[{"id":3700637,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"古典概率","parent_id":3635309,"level_no":685,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":685,"origin_id":0,"type":0,"video_id":"1","video_time":2376}]},{"breadcrumbs":"考点荟萃<i>></i>工程问题<i>></i>","component":[{"id":3700638,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"01-工程问题","parent_id":3635310,"level_no":687,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":687,"origin_id":0,"type":0,"video_id":"1","video_time":2318},{"id":3700639,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"02-工程问题","parent_id":3635310,"level_no":688,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":688,"origin_id":0,"type":0,"video_id":"1","video_time":2190}]},{"breadcrumbs":"考点荟萃<i>></i>利润问题<i>></i>","component":[{"id":3700640,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"利润问题","parent_id":3635311,"level_no":690,"created_at":"2022-09-16 15:11:43","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":690,"origin_id":0,"type":0,"video_id":"1","video_time":2575}]},{"breadcrumbs":"考点荟萃<i>></i>极值问题<i>></i>和定最值<i>></i>","component":[{"id":3700641,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"01-和定最值","parent_id":3635930,"level_no":693,"created_at":"2022-09-16 15:11:43","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":693,"origin_id":0,"type":0,"video_id":"1","video_time":2371},{"id":3727556,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"02-和定最值","parent_id":3635930,"level_no":694,"created_at":"2022-09-21 16:11:51","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":694,"origin_id":0,"type":0,"video_id":"1","video_time":1292}]},{"breadcrumbs":"考点荟萃<i>></i>极值问题<i>></i>最不利原则<i>></i>","component":[{"id":3727557,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"最不利原则","parent_id":3635931,"level_no":696,"created_at":"2022-09-21 16:11:51","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":696,"origin_id":0,"type":0,"video_id":"1","video_time":3053}]},{"breadcrumbs":"考点荟萃<i>></i>几何问题<i>></i>基本公式<i>></i>","component":[{"id":3727558,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"基本公式","parent_id":3635932,"level_no":699,"created_at":"2022-09-21 16:11:51","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":699,"origin_id":0,"type":0,"video_id":"1","video_time":2175}]},{"breadcrumbs":"考点荟萃<i>></i>几何问题<i>></i>解直角三角形<i>></i>","component":[{"id":3727559,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"解直角三角形","parent_id":3635933,"level_no":701,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":701,"origin_id":0,"type":0,"video_id":"1","video_time":2351}]},{"breadcrumbs":"考点荟萃<i>></i>几何问题<i>></i>相似三角形<i>></i>","component":[{"id":3727560,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"相似三角形","parent_id":3635934,"level_no":703,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":703,"origin_id":0,"type":0,"video_id":"1","video_time":2579}]},{"breadcrumbs":"考点荟萃<i>></i>容斥问题<i>></i>两者容斥<i>></i>","component":[{"id":3727561,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"两者容斥","parent_id":3635935,"level_no":706,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":706,"origin_id":0,"type":0,"video_id":"1","video_time":2169}]},{"breadcrumbs":"考点荟萃<i>></i>容斥问题<i>></i>三者容斥<i>></i>","component":[{"id":3727562,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"三者容斥","parent_id":3635936,"level_no":708,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":708,"origin_id":0,"type":0,"video_id":"1","video_time":2961}]},{"breadcrumbs":"思维导图专项总结<i>></i>","component":[{"id":3727563,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"思维导图","parent_id":3635315,"level_no":710,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":710,"origin_id":0,"type":0,"video_id":"1","video_time":2554}]},{"breadcrumbs":"试题精讲<i>></i>","component":[{"id":3727564,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"01-试题精讲","parent_id":3635316,"level_no":712,"created_at":"2022-09-21 16:11:53","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":712,"origin_id":0,"type":0,"video_id":"1","video_time":2871},{"id":3727565,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"02-试题精讲","parent_id":3635316,"level_no":713,"created_at":"2022-09-21 16:11:53","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":713,"origin_id":0,"type":0,"video_id":"1","video_time":2616},{"id":3727566,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"03-试题精讲","parent_id":3635316,"level_no":714,"created_at":"2022-09-21 16:11:53","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":714,"origin_id":0,"type":0,"video_id":"1","video_time":3092}]}]
考点荟萃>计算问题>等差数列>
[{"breadcrumbs":"讲义<i>></i>","component":[{"id":3547206,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"讲义下载","parent_id":3547205,"level_no":665,"created_at":"2022-08-16 10:41:51","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":7,"sort_index":665,"origin_id":0,"type":0}]},{"breadcrumbs":"导学<i>></i>","component":[{"id":3700628,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"导学","parent_id":3547207,"level_no":667,"created_at":"2022-09-16 15:11:40","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":667,"origin_id":0,"type":0,"video_id":"mda-ef9f7ef6486eae887f9c827456250077","video_time":1902}]},{"breadcrumbs":"考点荟萃<i>></i>计算问题<i>></i>和差倍比<i>></i>","component":[{"id":3700629,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"01-和差倍比","parent_id":3635924,"level_no":671,"created_at":"2022-09-16 15:11:40","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":671,"origin_id":0,"type":0,"video_id":"1","video_time":1983},{"id":3700630,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"02-和差倍比","parent_id":3635924,"level_no":672,"created_at":"2022-09-16 15:11:40","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":672,"origin_id":0,"type":0,"video_id":"1","video_time":2106},{"id":3700631,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"03-和差倍比","parent_id":3635924,"level_no":673,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":673,"origin_id":0,"type":0,"video_id":"1","video_time":2029}]},{"breadcrumbs":"考点荟萃<i>></i>计算问题<i>></i>等差数列<i>></i>","component":[{"id":3700632,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"等差数列","parent_id":3635925,"level_no":675,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":675,"origin_id":0,"type":0,"video_id":"1","video_time":2323}]},{"breadcrumbs":"考点荟萃<i>></i>行程问题<i>></i>基本行程<i>></i>","component":[{"id":3700633,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"基本行程","parent_id":3635926,"level_no":678,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":678,"origin_id":0,"type":0,"video_id":"1","video_time":2651}]},{"breadcrumbs":"考点荟萃<i>></i>行程问题<i>></i>相遇追及<i>></i>","component":[{"id":3700634,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"相遇追及","parent_id":3635927,"level_no":680,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":680,"origin_id":0,"type":0,"video_id":"1","video_time":2735}]},{"breadcrumbs":"考点荟萃<i>></i>排列组合问题<i>></i>","component":[{"id":3700635,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"01-排列组合问题","parent_id":3635308,"level_no":682,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":682,"origin_id":0,"type":0,"video_id":"1","video_time":3041},{"id":3700636,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"02-排列组合问题","parent_id":3635308,"level_no":683,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":683,"origin_id":0,"type":0,"video_id":"1","video_time":3138}]},{"breadcrumbs":"考点荟萃<i>></i>古典概率<i>></i>","component":[{"id":3700637,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"古典概率","parent_id":3635309,"level_no":685,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":685,"origin_id":0,"type":0,"video_id":"1","video_time":2376}]},{"breadcrumbs":"考点荟萃<i>></i>工程问题<i>></i>","component":[{"id":3700638,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"01-工程问题","parent_id":3635310,"level_no":687,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":687,"origin_id":0,"type":0,"video_id":"1","video_time":2318},{"id":3700639,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"02-工程问题","parent_id":3635310,"level_no":688,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":688,"origin_id":0,"type":0,"video_id":"1","video_time":2190}]},{"breadcrumbs":"考点荟萃<i>></i>利润问题<i>></i>","component":[{"id":3700640,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"利润问题","parent_id":3635311,"level_no":690,"created_at":"2022-09-16 15:11:43","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":690,"origin_id":0,"type":0,"video_id":"1","video_time":2575}]},{"breadcrumbs":"考点荟萃<i>></i>极值问题<i>></i>和定最值<i>></i>","component":[{"id":3700641,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"01-和定最值","parent_id":3635930,"level_no":693,"created_at":"2022-09-16 15:11:43","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":693,"origin_id":0,"type":0,"video_id":"1","video_time":2371},{"id":3727556,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"02-和定最值","parent_id":3635930,"level_no":694,"created_at":"2022-09-21 16:11:51","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":694,"origin_id":0,"type":0,"video_id":"1","video_time":1292}]},{"breadcrumbs":"考点荟萃<i>></i>极值问题<i>></i>最不利原则<i>></i>","component":[{"id":3727557,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"最不利原则","parent_id":3635931,"level_no":696,"created_at":"2022-09-21 16:11:51","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":696,"origin_id":0,"type":0,"video_id":"1","video_time":3053}]},{"breadcrumbs":"考点荟萃<i>></i>几何问题<i>></i>基本公式<i>></i>","component":[{"id":3727558,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"基本公式","parent_id":3635932,"level_no":699,"created_at":"2022-09-21 16:11:51","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":699,"origin_id":0,"type":0,"video_id":"1","video_time":2175}]},{"breadcrumbs":"考点荟萃<i>></i>几何问题<i>></i>解直角三角形<i>></i>","component":[{"id":3727559,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"解直角三角形","parent_id":3635933,"level_no":701,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":701,"origin_id":0,"type":0,"video_id":"1","video_time":2351}]},{"breadcrumbs":"考点荟萃<i>></i>几何问题<i>></i>相似三角形<i>></i>","component":[{"id":3727560,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"相似三角形","parent_id":3635934,"level_no":703,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":703,"origin_id":0,"type":0,"video_id":"1","video_time":2579}]},{"breadcrumbs":"考点荟萃<i>></i>容斥问题<i>></i>两者容斥<i>></i>","component":[{"id":3727561,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"两者容斥","parent_id":3635935,"level_no":706,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":706,"origin_id":0,"type":0,"video_id":"1","video_time":2169}]},{"breadcrumbs":"考点荟萃<i>></i>容斥问题<i>></i>三者容斥<i>></i>","component":[{"id":3727562,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"三者容斥","parent_id":3635936,"level_no":708,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":708,"origin_id":0,"type":0,"video_id":"1","video_time":2961}]},{"breadcrumbs":"思维导图专项总结<i>></i>","component":[{"id":3727563,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"思维导图","parent_id":3635315,"level_no":710,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":710,"origin_id":0,"type":0,"video_id":"1","video_time":2554}]},{"breadcrumbs":"试题精讲<i>></i>","component":[{"id":3727564,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"01-试题精讲","parent_id":3635316,"level_no":712,"created_at":"2022-09-21 16:11:53","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":712,"origin_id":0,"type":0,"video_id":"1","video_time":2871},{"id":3727565,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"02-试题精讲","parent_id":3635316,"level_no":713,"created_at":"2022-09-21 16:11:53","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":713,"origin_id":0,"type":0,"video_id":"1","video_time":2616},{"id":3727566,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"03-试题精讲","parent_id":3635316,"level_no":714,"created_at":"2022-09-21 16:11:53","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":714,"origin_id":0,"type":0,"video_id":"1","video_time":3092}]}]
考点荟萃>行程问题>基本行程>
[{"breadcrumbs":"讲义<i>></i>","component":[{"id":3547206,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"讲义下载","parent_id":3547205,"level_no":665,"created_at":"2022-08-16 10:41:51","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":7,"sort_index":665,"origin_id":0,"type":0}]},{"breadcrumbs":"导学<i>></i>","component":[{"id":3700628,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"导学","parent_id":3547207,"level_no":667,"created_at":"2022-09-16 15:11:40","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":667,"origin_id":0,"type":0,"video_id":"mda-ef9f7ef6486eae887f9c827456250077","video_time":1902}]},{"breadcrumbs":"考点荟萃<i>></i>计算问题<i>></i>和差倍比<i>></i>","component":[{"id":3700629,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"01-和差倍比","parent_id":3635924,"level_no":671,"created_at":"2022-09-16 15:11:40","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":671,"origin_id":0,"type":0,"video_id":"1","video_time":1983},{"id":3700630,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"02-和差倍比","parent_id":3635924,"level_no":672,"created_at":"2022-09-16 15:11:40","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":672,"origin_id":0,"type":0,"video_id":"1","video_time":2106},{"id":3700631,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"03-和差倍比","parent_id":3635924,"level_no":673,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":673,"origin_id":0,"type":0,"video_id":"1","video_time":2029}]},{"breadcrumbs":"考点荟萃<i>></i>计算问题<i>></i>等差数列<i>></i>","component":[{"id":3700632,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"等差数列","parent_id":3635925,"level_no":675,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":675,"origin_id":0,"type":0,"video_id":"1","video_time":2323}]},{"breadcrumbs":"考点荟萃<i>></i>行程问题<i>></i>基本行程<i>></i>","component":[{"id":3700633,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"基本行程","parent_id":3635926,"level_no":678,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":678,"origin_id":0,"type":0,"video_id":"1","video_time":2651}]},{"breadcrumbs":"考点荟萃<i>></i>行程问题<i>></i>相遇追及<i>></i>","component":[{"id":3700634,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"相遇追及","parent_id":3635927,"level_no":680,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":680,"origin_id":0,"type":0,"video_id":"1","video_time":2735}]},{"breadcrumbs":"考点荟萃<i>></i>排列组合问题<i>></i>","component":[{"id":3700635,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"01-排列组合问题","parent_id":3635308,"level_no":682,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":682,"origin_id":0,"type":0,"video_id":"1","video_time":3041},{"id":3700636,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"02-排列组合问题","parent_id":3635308,"level_no":683,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":683,"origin_id":0,"type":0,"video_id":"1","video_time":3138}]},{"breadcrumbs":"考点荟萃<i>></i>古典概率<i>></i>","component":[{"id":3700637,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"古典概率","parent_id":3635309,"level_no":685,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":685,"origin_id":0,"type":0,"video_id":"1","video_time":2376}]},{"breadcrumbs":"考点荟萃<i>></i>工程问题<i>></i>","component":[{"id":3700638,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"01-工程问题","parent_id":3635310,"level_no":687,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":687,"origin_id":0,"type":0,"video_id":"1","video_time":2318},{"id":3700639,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"02-工程问题","parent_id":3635310,"level_no":688,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":688,"origin_id":0,"type":0,"video_id":"1","video_time":2190}]},{"breadcrumbs":"考点荟萃<i>></i>利润问题<i>></i>","component":[{"id":3700640,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"利润问题","parent_id":3635311,"level_no":690,"created_at":"2022-09-16 15:11:43","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":690,"origin_id":0,"type":0,"video_id":"1","video_time":2575}]},{"breadcrumbs":"考点荟萃<i>></i>极值问题<i>></i>和定最值<i>></i>","component":[{"id":3700641,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"01-和定最值","parent_id":3635930,"level_no":693,"created_at":"2022-09-16 15:11:43","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":693,"origin_id":0,"type":0,"video_id":"1","video_time":2371},{"id":3727556,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"02-和定最值","parent_id":3635930,"level_no":694,"created_at":"2022-09-21 16:11:51","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":694,"origin_id":0,"type":0,"video_id":"1","video_time":1292}]},{"breadcrumbs":"考点荟萃<i>></i>极值问题<i>></i>最不利原则<i>></i>","component":[{"id":3727557,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"最不利原则","parent_id":3635931,"level_no":696,"created_at":"2022-09-21 16:11:51","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":696,"origin_id":0,"type":0,"video_id":"1","video_time":3053}]},{"breadcrumbs":"考点荟萃<i>></i>几何问题<i>></i>基本公式<i>></i>","component":[{"id":3727558,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"基本公式","parent_id":3635932,"level_no":699,"created_at":"2022-09-21 16:11:51","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":699,"origin_id":0,"type":0,"video_id":"1","video_time":2175}]},{"breadcrumbs":"考点荟萃<i>></i>几何问题<i>></i>解直角三角形<i>></i>","component":[{"id":3727559,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"解直角三角形","parent_id":3635933,"level_no":701,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":701,"origin_id":0,"type":0,"video_id":"1","video_time":2351}]},{"breadcrumbs":"考点荟萃<i>></i>几何问题<i>></i>相似三角形<i>></i>","component":[{"id":3727560,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"相似三角形","parent_id":3635934,"level_no":703,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":703,"origin_id":0,"type":0,"video_id":"1","video_time":2579}]},{"breadcrumbs":"考点荟萃<i>></i>容斥问题<i>></i>两者容斥<i>></i>","component":[{"id":3727561,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"两者容斥","parent_id":3635935,"level_no":706,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":706,"origin_id":0,"type":0,"video_id":"1","video_time":2169}]},{"breadcrumbs":"考点荟萃<i>></i>容斥问题<i>></i>三者容斥<i>></i>","component":[{"id":3727562,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"三者容斥","parent_id":3635936,"level_no":708,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":708,"origin_id":0,"type":0,"video_id":"1","video_time":2961}]},{"breadcrumbs":"思维导图专项总结<i>></i>","component":[{"id":3727563,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"思维导图","parent_id":3635315,"level_no":710,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":710,"origin_id":0,"type":0,"video_id":"1","video_time":2554}]},{"breadcrumbs":"试题精讲<i>></i>","component":[{"id":3727564,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"01-试题精讲","parent_id":3635316,"level_no":712,"created_at":"2022-09-21 16:11:53","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":712,"origin_id":0,"type":0,"video_id":"1","video_time":2871},{"id":3727565,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"02-试题精讲","parent_id":3635316,"level_no":713,"created_at":"2022-09-21 16:11:53","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":713,"origin_id":0,"type":0,"video_id":"1","video_time":2616},{"id":3727566,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"03-试题精讲","parent_id":3635316,"level_no":714,"created_at":"2022-09-21 16:11:53","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":714,"origin_id":0,"type":0,"video_id":"1","video_time":3092}]}]
考点荟萃>行程问题>相遇追及>
[{"breadcrumbs":"讲义<i>></i>","component":[{"id":3547206,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"讲义下载","parent_id":3547205,"level_no":665,"created_at":"2022-08-16 10:41:51","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":7,"sort_index":665,"origin_id":0,"type":0}]},{"breadcrumbs":"导学<i>></i>","component":[{"id":3700628,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"导学","parent_id":3547207,"level_no":667,"created_at":"2022-09-16 15:11:40","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":667,"origin_id":0,"type":0,"video_id":"mda-ef9f7ef6486eae887f9c827456250077","video_time":1902}]},{"breadcrumbs":"考点荟萃<i>></i>计算问题<i>></i>和差倍比<i>></i>","component":[{"id":3700629,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"01-和差倍比","parent_id":3635924,"level_no":671,"created_at":"2022-09-16 15:11:40","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":671,"origin_id":0,"type":0,"video_id":"1","video_time":1983},{"id":3700630,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"02-和差倍比","parent_id":3635924,"level_no":672,"created_at":"2022-09-16 15:11:40","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":672,"origin_id":0,"type":0,"video_id":"1","video_time":2106},{"id":3700631,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"03-和差倍比","parent_id":3635924,"level_no":673,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":673,"origin_id":0,"type":0,"video_id":"1","video_time":2029}]},{"breadcrumbs":"考点荟萃<i>></i>计算问题<i>></i>等差数列<i>></i>","component":[{"id":3700632,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"等差数列","parent_id":3635925,"level_no":675,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":675,"origin_id":0,"type":0,"video_id":"1","video_time":2323}]},{"breadcrumbs":"考点荟萃<i>></i>行程问题<i>></i>基本行程<i>></i>","component":[{"id":3700633,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"基本行程","parent_id":3635926,"level_no":678,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":678,"origin_id":0,"type":0,"video_id":"1","video_time":2651}]},{"breadcrumbs":"考点荟萃<i>></i>行程问题<i>></i>相遇追及<i>></i>","component":[{"id":3700634,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"相遇追及","parent_id":3635927,"level_no":680,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":680,"origin_id":0,"type":0,"video_id":"1","video_time":2735}]},{"breadcrumbs":"考点荟萃<i>></i>排列组合问题<i>></i>","component":[{"id":3700635,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"01-排列组合问题","parent_id":3635308,"level_no":682,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":682,"origin_id":0,"type":0,"video_id":"1","video_time":3041},{"id":3700636,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"02-排列组合问题","parent_id":3635308,"level_no":683,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":683,"origin_id":0,"type":0,"video_id":"1","video_time":3138}]},{"breadcrumbs":"考点荟萃<i>></i>古典概率<i>></i>","component":[{"id":3700637,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"古典概率","parent_id":3635309,"level_no":685,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":685,"origin_id":0,"type":0,"video_id":"1","video_time":2376}]},{"breadcrumbs":"考点荟萃<i>></i>工程问题<i>></i>","component":[{"id":3700638,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"01-工程问题","parent_id":3635310,"level_no":687,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":687,"origin_id":0,"type":0,"video_id":"1","video_time":2318},{"id":3700639,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"02-工程问题","parent_id":3635310,"level_no":688,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":688,"origin_id":0,"type":0,"video_id":"1","video_time":2190}]},{"breadcrumbs":"考点荟萃<i>></i>利润问题<i>></i>","component":[{"id":3700640,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"利润问题","parent_id":3635311,"level_no":690,"created_at":"2022-09-16 15:11:43","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":690,"origin_id":0,"type":0,"video_id":"1","video_time":2575}]},{"breadcrumbs":"考点荟萃<i>></i>极值问题<i>></i>和定最值<i>></i>","component":[{"id":3700641,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"01-和定最值","parent_id":3635930,"level_no":693,"created_at":"2022-09-16 15:11:43","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":693,"origin_id":0,"type":0,"video_id":"1","video_time":2371},{"id":3727556,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"02-和定最值","parent_id":3635930,"level_no":694,"created_at":"2022-09-21 16:11:51","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":694,"origin_id":0,"type":0,"video_id":"1","video_time":1292}]},{"breadcrumbs":"考点荟萃<i>></i>极值问题<i>></i>最不利原则<i>></i>","component":[{"id":3727557,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"最不利原则","parent_id":3635931,"level_no":696,"created_at":"2022-09-21 16:11:51","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":696,"origin_id":0,"type":0,"video_id":"1","video_time":3053}]},{"breadcrumbs":"考点荟萃<i>></i>几何问题<i>></i>基本公式<i>></i>","component":[{"id":3727558,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"基本公式","parent_id":3635932,"level_no":699,"created_at":"2022-09-21 16:11:51","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":699,"origin_id":0,"type":0,"video_id":"1","video_time":2175}]},{"breadcrumbs":"考点荟萃<i>></i>几何问题<i>></i>解直角三角形<i>></i>","component":[{"id":3727559,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"解直角三角形","parent_id":3635933,"level_no":701,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":701,"origin_id":0,"type":0,"video_id":"1","video_time":2351}]},{"breadcrumbs":"考点荟萃<i>></i>几何问题<i>></i>相似三角形<i>></i>","component":[{"id":3727560,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"相似三角形","parent_id":3635934,"level_no":703,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":703,"origin_id":0,"type":0,"video_id":"1","video_time":2579}]},{"breadcrumbs":"考点荟萃<i>></i>容斥问题<i>></i>两者容斥<i>></i>","component":[{"id":3727561,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"两者容斥","parent_id":3635935,"level_no":706,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":706,"origin_id":0,"type":0,"video_id":"1","video_time":2169}]},{"breadcrumbs":"考点荟萃<i>></i>容斥问题<i>></i>三者容斥<i>></i>","component":[{"id":3727562,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"三者容斥","parent_id":3635936,"level_no":708,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":708,"origin_id":0,"type":0,"video_id":"1","video_time":2961}]},{"breadcrumbs":"思维导图专项总结<i>></i>","component":[{"id":3727563,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"思维导图","parent_id":3635315,"level_no":710,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":710,"origin_id":0,"type":0,"video_id":"1","video_time":2554}]},{"breadcrumbs":"试题精讲<i>></i>","component":[{"id":3727564,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"01-试题精讲","parent_id":3635316,"level_no":712,"created_at":"2022-09-21 16:11:53","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":712,"origin_id":0,"type":0,"video_id":"1","video_time":2871},{"id":3727565,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"02-试题精讲","parent_id":3635316,"level_no":713,"created_at":"2022-09-21 16:11:53","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":713,"origin_id":0,"type":0,"video_id":"1","video_time":2616},{"id":3727566,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"03-试题精讲","parent_id":3635316,"level_no":714,"created_at":"2022-09-21 16:11:53","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":714,"origin_id":0,"type":0,"video_id":"1","video_time":3092}]}]
考点荟萃>排列组合问题>
[{"breadcrumbs":"讲义<i>></i>","component":[{"id":3547206,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"讲义下载","parent_id":3547205,"level_no":665,"created_at":"2022-08-16 10:41:51","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":7,"sort_index":665,"origin_id":0,"type":0}]},{"breadcrumbs":"导学<i>></i>","component":[{"id":3700628,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"导学","parent_id":3547207,"level_no":667,"created_at":"2022-09-16 15:11:40","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":667,"origin_id":0,"type":0,"video_id":"mda-ef9f7ef6486eae887f9c827456250077","video_time":1902}]},{"breadcrumbs":"考点荟萃<i>></i>计算问题<i>></i>和差倍比<i>></i>","component":[{"id":3700629,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"01-和差倍比","parent_id":3635924,"level_no":671,"created_at":"2022-09-16 15:11:40","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":671,"origin_id":0,"type":0,"video_id":"1","video_time":1983},{"id":3700630,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"02-和差倍比","parent_id":3635924,"level_no":672,"created_at":"2022-09-16 15:11:40","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":672,"origin_id":0,"type":0,"video_id":"1","video_time":2106},{"id":3700631,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"03-和差倍比","parent_id":3635924,"level_no":673,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":673,"origin_id":0,"type":0,"video_id":"1","video_time":2029}]},{"breadcrumbs":"考点荟萃<i>></i>计算问题<i>></i>等差数列<i>></i>","component":[{"id":3700632,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"等差数列","parent_id":3635925,"level_no":675,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":675,"origin_id":0,"type":0,"video_id":"1","video_time":2323}]},{"breadcrumbs":"考点荟萃<i>></i>行程问题<i>></i>基本行程<i>></i>","component":[{"id":3700633,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"基本行程","parent_id":3635926,"level_no":678,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":678,"origin_id":0,"type":0,"video_id":"1","video_time":2651}]},{"breadcrumbs":"考点荟萃<i>></i>行程问题<i>></i>相遇追及<i>></i>","component":[{"id":3700634,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"相遇追及","parent_id":3635927,"level_no":680,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":680,"origin_id":0,"type":0,"video_id":"1","video_time":2735}]},{"breadcrumbs":"考点荟萃<i>></i>排列组合问题<i>></i>","component":[{"id":3700635,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"01-排列组合问题","parent_id":3635308,"level_no":682,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":682,"origin_id":0,"type":0,"video_id":"1","video_time":3041},{"id":3700636,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"02-排列组合问题","parent_id":3635308,"level_no":683,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":683,"origin_id":0,"type":0,"video_id":"1","video_time":3138}]},{"breadcrumbs":"考点荟萃<i>></i>古典概率<i>></i>","component":[{"id":3700637,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"古典概率","parent_id":3635309,"level_no":685,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":685,"origin_id":0,"type":0,"video_id":"1","video_time":2376}]},{"breadcrumbs":"考点荟萃<i>></i>工程问题<i>></i>","component":[{"id":3700638,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"01-工程问题","parent_id":3635310,"level_no":687,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":687,"origin_id":0,"type":0,"video_id":"1","video_time":2318},{"id":3700639,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"02-工程问题","parent_id":3635310,"level_no":688,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":688,"origin_id":0,"type":0,"video_id":"1","video_time":2190}]},{"breadcrumbs":"考点荟萃<i>></i>利润问题<i>></i>","component":[{"id":3700640,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"利润问题","parent_id":3635311,"level_no":690,"created_at":"2022-09-16 15:11:43","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":690,"origin_id":0,"type":0,"video_id":"1","video_time":2575}]},{"breadcrumbs":"考点荟萃<i>></i>极值问题<i>></i>和定最值<i>></i>","component":[{"id":3700641,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"01-和定最值","parent_id":3635930,"level_no":693,"created_at":"2022-09-16 15:11:43","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":693,"origin_id":0,"type":0,"video_id":"1","video_time":2371},{"id":3727556,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"02-和定最值","parent_id":3635930,"level_no":694,"created_at":"2022-09-21 16:11:51","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":694,"origin_id":0,"type":0,"video_id":"1","video_time":1292}]},{"breadcrumbs":"考点荟萃<i>></i>极值问题<i>></i>最不利原则<i>></i>","component":[{"id":3727557,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"最不利原则","parent_id":3635931,"level_no":696,"created_at":"2022-09-21 16:11:51","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":696,"origin_id":0,"type":0,"video_id":"1","video_time":3053}]},{"breadcrumbs":"考点荟萃<i>></i>几何问题<i>></i>基本公式<i>></i>","component":[{"id":3727558,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"基本公式","parent_id":3635932,"level_no":699,"created_at":"2022-09-21 16:11:51","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":699,"origin_id":0,"type":0,"video_id":"1","video_time":2175}]},{"breadcrumbs":"考点荟萃<i>></i>几何问题<i>></i>解直角三角形<i>></i>","component":[{"id":3727559,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"解直角三角形","parent_id":3635933,"level_no":701,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":701,"origin_id":0,"type":0,"video_id":"1","video_time":2351}]},{"breadcrumbs":"考点荟萃<i>></i>几何问题<i>></i>相似三角形<i>></i>","component":[{"id":3727560,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"相似三角形","parent_id":3635934,"level_no":703,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":703,"origin_id":0,"type":0,"video_id":"1","video_time":2579}]},{"breadcrumbs":"考点荟萃<i>></i>容斥问题<i>></i>两者容斥<i>></i>","component":[{"id":3727561,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"两者容斥","parent_id":3635935,"level_no":706,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":706,"origin_id":0,"type":0,"video_id":"1","video_time":2169}]},{"breadcrumbs":"考点荟萃<i>></i>容斥问题<i>></i>三者容斥<i>></i>","component":[{"id":3727562,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"三者容斥","parent_id":3635936,"level_no":708,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":708,"origin_id":0,"type":0,"video_id":"1","video_time":2961}]},{"breadcrumbs":"思维导图专项总结<i>></i>","component":[{"id":3727563,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"思维导图","parent_id":3635315,"level_no":710,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":710,"origin_id":0,"type":0,"video_id":"1","video_time":2554}]},{"breadcrumbs":"试题精讲<i>></i>","component":[{"id":3727564,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"01-试题精讲","parent_id":3635316,"level_no":712,"created_at":"2022-09-21 16:11:53","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":712,"origin_id":0,"type":0,"video_id":"1","video_time":2871},{"id":3727565,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"02-试题精讲","parent_id":3635316,"level_no":713,"created_at":"2022-09-21 16:11:53","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":713,"origin_id":0,"type":0,"video_id":"1","video_time":2616},{"id":3727566,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"03-试题精讲","parent_id":3635316,"level_no":714,"created_at":"2022-09-21 16:11:53","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":714,"origin_id":0,"type":0,"video_id":"1","video_time":3092}]}]
考点荟萃>古典概率>
[{"breadcrumbs":"讲义<i>></i>","component":[{"id":3547206,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"讲义下载","parent_id":3547205,"level_no":665,"created_at":"2022-08-16 10:41:51","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":7,"sort_index":665,"origin_id":0,"type":0}]},{"breadcrumbs":"导学<i>></i>","component":[{"id":3700628,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"导学","parent_id":3547207,"level_no":667,"created_at":"2022-09-16 15:11:40","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":667,"origin_id":0,"type":0,"video_id":"mda-ef9f7ef6486eae887f9c827456250077","video_time":1902}]},{"breadcrumbs":"考点荟萃<i>></i>计算问题<i>></i>和差倍比<i>></i>","component":[{"id":3700629,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"01-和差倍比","parent_id":3635924,"level_no":671,"created_at":"2022-09-16 15:11:40","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":671,"origin_id":0,"type":0,"video_id":"1","video_time":1983},{"id":3700630,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"02-和差倍比","parent_id":3635924,"level_no":672,"created_at":"2022-09-16 15:11:40","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":672,"origin_id":0,"type":0,"video_id":"1","video_time":2106},{"id":3700631,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"03-和差倍比","parent_id":3635924,"level_no":673,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":673,"origin_id":0,"type":0,"video_id":"1","video_time":2029}]},{"breadcrumbs":"考点荟萃<i>></i>计算问题<i>></i>等差数列<i>></i>","component":[{"id":3700632,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"等差数列","parent_id":3635925,"level_no":675,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":675,"origin_id":0,"type":0,"video_id":"1","video_time":2323}]},{"breadcrumbs":"考点荟萃<i>></i>行程问题<i>></i>基本行程<i>></i>","component":[{"id":3700633,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"基本行程","parent_id":3635926,"level_no":678,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":678,"origin_id":0,"type":0,"video_id":"1","video_time":2651}]},{"breadcrumbs":"考点荟萃<i>></i>行程问题<i>></i>相遇追及<i>></i>","component":[{"id":3700634,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"相遇追及","parent_id":3635927,"level_no":680,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":680,"origin_id":0,"type":0,"video_id":"1","video_time":2735}]},{"breadcrumbs":"考点荟萃<i>></i>排列组合问题<i>></i>","component":[{"id":3700635,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"01-排列组合问题","parent_id":3635308,"level_no":682,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":682,"origin_id":0,"type":0,"video_id":"1","video_time":3041},{"id":3700636,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"02-排列组合问题","parent_id":3635308,"level_no":683,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":683,"origin_id":0,"type":0,"video_id":"1","video_time":3138}]},{"breadcrumbs":"考点荟萃<i>></i>古典概率<i>></i>","component":[{"id":3700637,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"古典概率","parent_id":3635309,"level_no":685,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":685,"origin_id":0,"type":0,"video_id":"1","video_time":2376}]},{"breadcrumbs":"考点荟萃<i>></i>工程问题<i>></i>","component":[{"id":3700638,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"01-工程问题","parent_id":3635310,"level_no":687,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":687,"origin_id":0,"type":0,"video_id":"1","video_time":2318},{"id":3700639,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"02-工程问题","parent_id":3635310,"level_no":688,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":688,"origin_id":0,"type":0,"video_id":"1","video_time":2190}]},{"breadcrumbs":"考点荟萃<i>></i>利润问题<i>></i>","component":[{"id":3700640,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"利润问题","parent_id":3635311,"level_no":690,"created_at":"2022-09-16 15:11:43","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":690,"origin_id":0,"type":0,"video_id":"1","video_time":2575}]},{"breadcrumbs":"考点荟萃<i>></i>极值问题<i>></i>和定最值<i>></i>","component":[{"id":3700641,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"01-和定最值","parent_id":3635930,"level_no":693,"created_at":"2022-09-16 15:11:43","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":693,"origin_id":0,"type":0,"video_id":"1","video_time":2371},{"id":3727556,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"02-和定最值","parent_id":3635930,"level_no":694,"created_at":"2022-09-21 16:11:51","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":694,"origin_id":0,"type":0,"video_id":"1","video_time":1292}]},{"breadcrumbs":"考点荟萃<i>></i>极值问题<i>></i>最不利原则<i>></i>","component":[{"id":3727557,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"最不利原则","parent_id":3635931,"level_no":696,"created_at":"2022-09-21 16:11:51","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":696,"origin_id":0,"type":0,"video_id":"1","video_time":3053}]},{"breadcrumbs":"考点荟萃<i>></i>几何问题<i>></i>基本公式<i>></i>","component":[{"id":3727558,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"基本公式","parent_id":3635932,"level_no":699,"created_at":"2022-09-21 16:11:51","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":699,"origin_id":0,"type":0,"video_id":"1","video_time":2175}]},{"breadcrumbs":"考点荟萃<i>></i>几何问题<i>></i>解直角三角形<i>></i>","component":[{"id":3727559,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"解直角三角形","parent_id":3635933,"level_no":701,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":701,"origin_id":0,"type":0,"video_id":"1","video_time":2351}]},{"breadcrumbs":"考点荟萃<i>></i>几何问题<i>></i>相似三角形<i>></i>","component":[{"id":3727560,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"相似三角形","parent_id":3635934,"level_no":703,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":703,"origin_id":0,"type":0,"video_id":"1","video_time":2579}]},{"breadcrumbs":"考点荟萃<i>></i>容斥问题<i>></i>两者容斥<i>></i>","component":[{"id":3727561,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"两者容斥","parent_id":3635935,"level_no":706,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":706,"origin_id":0,"type":0,"video_id":"1","video_time":2169}]},{"breadcrumbs":"考点荟萃<i>></i>容斥问题<i>></i>三者容斥<i>></i>","component":[{"id":3727562,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"三者容斥","parent_id":3635936,"level_no":708,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":708,"origin_id":0,"type":0,"video_id":"1","video_time":2961}]},{"breadcrumbs":"思维导图专项总结<i>></i>","component":[{"id":3727563,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"思维导图","parent_id":3635315,"level_no":710,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":710,"origin_id":0,"type":0,"video_id":"1","video_time":2554}]},{"breadcrumbs":"试题精讲<i>></i>","component":[{"id":3727564,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"01-试题精讲","parent_id":3635316,"level_no":712,"created_at":"2022-09-21 16:11:53","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":712,"origin_id":0,"type":0,"video_id":"1","video_time":2871},{"id":3727565,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"02-试题精讲","parent_id":3635316,"level_no":713,"created_at":"2022-09-21 16:11:53","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":713,"origin_id":0,"type":0,"video_id":"1","video_time":2616},{"id":3727566,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"03-试题精讲","parent_id":3635316,"level_no":714,"created_at":"2022-09-21 16:11:53","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":714,"origin_id":0,"type":0,"video_id":"1","video_time":3092}]}]
考点荟萃>工程问题>
[{"breadcrumbs":"讲义<i>></i>","component":[{"id":3547206,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"讲义下载","parent_id":3547205,"level_no":665,"created_at":"2022-08-16 10:41:51","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":7,"sort_index":665,"origin_id":0,"type":0}]},{"breadcrumbs":"导学<i>></i>","component":[{"id":3700628,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"导学","parent_id":3547207,"level_no":667,"created_at":"2022-09-16 15:11:40","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":667,"origin_id":0,"type":0,"video_id":"mda-ef9f7ef6486eae887f9c827456250077","video_time":1902}]},{"breadcrumbs":"考点荟萃<i>></i>计算问题<i>></i>和差倍比<i>></i>","component":[{"id":3700629,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"01-和差倍比","parent_id":3635924,"level_no":671,"created_at":"2022-09-16 15:11:40","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":671,"origin_id":0,"type":0,"video_id":"1","video_time":1983},{"id":3700630,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"02-和差倍比","parent_id":3635924,"level_no":672,"created_at":"2022-09-16 15:11:40","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":672,"origin_id":0,"type":0,"video_id":"1","video_time":2106},{"id":3700631,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"03-和差倍比","parent_id":3635924,"level_no":673,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":673,"origin_id":0,"type":0,"video_id":"1","video_time":2029}]},{"breadcrumbs":"考点荟萃<i>></i>计算问题<i>></i>等差数列<i>></i>","component":[{"id":3700632,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"等差数列","parent_id":3635925,"level_no":675,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":675,"origin_id":0,"type":0,"video_id":"1","video_time":2323}]},{"breadcrumbs":"考点荟萃<i>></i>行程问题<i>></i>基本行程<i>></i>","component":[{"id":3700633,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"基本行程","parent_id":3635926,"level_no":678,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":678,"origin_id":0,"type":0,"video_id":"1","video_time":2651}]},{"breadcrumbs":"考点荟萃<i>></i>行程问题<i>></i>相遇追及<i>></i>","component":[{"id":3700634,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"相遇追及","parent_id":3635927,"level_no":680,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":680,"origin_id":0,"type":0,"video_id":"1","video_time":2735}]},{"breadcrumbs":"考点荟萃<i>></i>排列组合问题<i>></i>","component":[{"id":3700635,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"01-排列组合问题","parent_id":3635308,"level_no":682,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":682,"origin_id":0,"type":0,"video_id":"1","video_time":3041},{"id":3700636,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"02-排列组合问题","parent_id":3635308,"level_no":683,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":683,"origin_id":0,"type":0,"video_id":"1","video_time":3138}]},{"breadcrumbs":"考点荟萃<i>></i>古典概率<i>></i>","component":[{"id":3700637,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"古典概率","parent_id":3635309,"level_no":685,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":685,"origin_id":0,"type":0,"video_id":"1","video_time":2376}]},{"breadcrumbs":"考点荟萃<i>></i>工程问题<i>></i>","component":[{"id":3700638,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"01-工程问题","parent_id":3635310,"level_no":687,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":687,"origin_id":0,"type":0,"video_id":"1","video_time":2318},{"id":3700639,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"02-工程问题","parent_id":3635310,"level_no":688,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":688,"origin_id":0,"type":0,"video_id":"1","video_time":2190}]},{"breadcrumbs":"考点荟萃<i>></i>利润问题<i>></i>","component":[{"id":3700640,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"利润问题","parent_id":3635311,"level_no":690,"created_at":"2022-09-16 15:11:43","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":690,"origin_id":0,"type":0,"video_id":"1","video_time":2575}]},{"breadcrumbs":"考点荟萃<i>></i>极值问题<i>></i>和定最值<i>></i>","component":[{"id":3700641,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"01-和定最值","parent_id":3635930,"level_no":693,"created_at":"2022-09-16 15:11:43","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":693,"origin_id":0,"type":0,"video_id":"1","video_time":2371},{"id":3727556,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"02-和定最值","parent_id":3635930,"level_no":694,"created_at":"2022-09-21 16:11:51","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":694,"origin_id":0,"type":0,"video_id":"1","video_time":1292}]},{"breadcrumbs":"考点荟萃<i>></i>极值问题<i>></i>最不利原则<i>></i>","component":[{"id":3727557,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"最不利原则","parent_id":3635931,"level_no":696,"created_at":"2022-09-21 16:11:51","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":696,"origin_id":0,"type":0,"video_id":"1","video_time":3053}]},{"breadcrumbs":"考点荟萃<i>></i>几何问题<i>></i>基本公式<i>></i>","component":[{"id":3727558,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"基本公式","parent_id":3635932,"level_no":699,"created_at":"2022-09-21 16:11:51","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":699,"origin_id":0,"type":0,"video_id":"1","video_time":2175}]},{"breadcrumbs":"考点荟萃<i>></i>几何问题<i>></i>解直角三角形<i>></i>","component":[{"id":3727559,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"解直角三角形","parent_id":3635933,"level_no":701,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":701,"origin_id":0,"type":0,"video_id":"1","video_time":2351}]},{"breadcrumbs":"考点荟萃<i>></i>几何问题<i>></i>相似三角形<i>></i>","component":[{"id":3727560,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"相似三角形","parent_id":3635934,"level_no":703,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":703,"origin_id":0,"type":0,"video_id":"1","video_time":2579}]},{"breadcrumbs":"考点荟萃<i>></i>容斥问题<i>></i>两者容斥<i>></i>","component":[{"id":3727561,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"两者容斥","parent_id":3635935,"level_no":706,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":706,"origin_id":0,"type":0,"video_id":"1","video_time":2169}]},{"breadcrumbs":"考点荟萃<i>></i>容斥问题<i>></i>三者容斥<i>></i>","component":[{"id":3727562,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"三者容斥","parent_id":3635936,"level_no":708,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":708,"origin_id":0,"type":0,"video_id":"1","video_time":2961}]},{"breadcrumbs":"思维导图专项总结<i>></i>","component":[{"id":3727563,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"思维导图","parent_id":3635315,"level_no":710,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":710,"origin_id":0,"type":0,"video_id":"1","video_time":2554}]},{"breadcrumbs":"试题精讲<i>></i>","component":[{"id":3727564,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"01-试题精讲","parent_id":3635316,"level_no":712,"created_at":"2022-09-21 16:11:53","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":712,"origin_id":0,"type":0,"video_id":"1","video_time":2871},{"id":3727565,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"02-试题精讲","parent_id":3635316,"level_no":713,"created_at":"2022-09-21 16:11:53","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":713,"origin_id":0,"type":0,"video_id":"1","video_time":2616},{"id":3727566,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"03-试题精讲","parent_id":3635316,"level_no":714,"created_at":"2022-09-21 16:11:53","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":714,"origin_id":0,"type":0,"video_id":"1","video_time":3092}]}]
考点荟萃>利润问题>
[{"breadcrumbs":"讲义<i>></i>","component":[{"id":3547206,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"讲义下载","parent_id":3547205,"level_no":665,"created_at":"2022-08-16 10:41:51","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":7,"sort_index":665,"origin_id":0,"type":0}]},{"breadcrumbs":"导学<i>></i>","component":[{"id":3700628,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"导学","parent_id":3547207,"level_no":667,"created_at":"2022-09-16 15:11:40","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":667,"origin_id":0,"type":0,"video_id":"mda-ef9f7ef6486eae887f9c827456250077","video_time":1902}]},{"breadcrumbs":"考点荟萃<i>></i>计算问题<i>></i>和差倍比<i>></i>","component":[{"id":3700629,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"01-和差倍比","parent_id":3635924,"level_no":671,"created_at":"2022-09-16 15:11:40","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":671,"origin_id":0,"type":0,"video_id":"1","video_time":1983},{"id":3700630,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"02-和差倍比","parent_id":3635924,"level_no":672,"created_at":"2022-09-16 15:11:40","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":672,"origin_id":0,"type":0,"video_id":"1","video_time":2106},{"id":3700631,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"03-和差倍比","parent_id":3635924,"level_no":673,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":673,"origin_id":0,"type":0,"video_id":"1","video_time":2029}]},{"breadcrumbs":"考点荟萃<i>></i>计算问题<i>></i>等差数列<i>></i>","component":[{"id":3700632,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"等差数列","parent_id":3635925,"level_no":675,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":675,"origin_id":0,"type":0,"video_id":"1","video_time":2323}]},{"breadcrumbs":"考点荟萃<i>></i>行程问题<i>></i>基本行程<i>></i>","component":[{"id":3700633,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"基本行程","parent_id":3635926,"level_no":678,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":678,"origin_id":0,"type":0,"video_id":"1","video_time":2651}]},{"breadcrumbs":"考点荟萃<i>></i>行程问题<i>></i>相遇追及<i>></i>","component":[{"id":3700634,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"相遇追及","parent_id":3635927,"level_no":680,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":680,"origin_id":0,"type":0,"video_id":"1","video_time":2735}]},{"breadcrumbs":"考点荟萃<i>></i>排列组合问题<i>></i>","component":[{"id":3700635,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"01-排列组合问题","parent_id":3635308,"level_no":682,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":682,"origin_id":0,"type":0,"video_id":"1","video_time":3041},{"id":3700636,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"02-排列组合问题","parent_id":3635308,"level_no":683,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":683,"origin_id":0,"type":0,"video_id":"1","video_time":3138}]},{"breadcrumbs":"考点荟萃<i>></i>古典概率<i>></i>","component":[{"id":3700637,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"古典概率","parent_id":3635309,"level_no":685,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":685,"origin_id":0,"type":0,"video_id":"1","video_time":2376}]},{"breadcrumbs":"考点荟萃<i>></i>工程问题<i>></i>","component":[{"id":3700638,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"01-工程问题","parent_id":3635310,"level_no":687,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":687,"origin_id":0,"type":0,"video_id":"1","video_time":2318},{"id":3700639,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"02-工程问题","parent_id":3635310,"level_no":688,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":688,"origin_id":0,"type":0,"video_id":"1","video_time":2190}]},{"breadcrumbs":"考点荟萃<i>></i>利润问题<i>></i>","component":[{"id":3700640,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"利润问题","parent_id":3635311,"level_no":690,"created_at":"2022-09-16 15:11:43","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":690,"origin_id":0,"type":0,"video_id":"1","video_time":2575}]},{"breadcrumbs":"考点荟萃<i>></i>极值问题<i>></i>和定最值<i>></i>","component":[{"id":3700641,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"01-和定最值","parent_id":3635930,"level_no":693,"created_at":"2022-09-16 15:11:43","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":693,"origin_id":0,"type":0,"video_id":"1","video_time":2371},{"id":3727556,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"02-和定最值","parent_id":3635930,"level_no":694,"created_at":"2022-09-21 16:11:51","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":694,"origin_id":0,"type":0,"video_id":"1","video_time":1292}]},{"breadcrumbs":"考点荟萃<i>></i>极值问题<i>></i>最不利原则<i>></i>","component":[{"id":3727557,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"最不利原则","parent_id":3635931,"level_no":696,"created_at":"2022-09-21 16:11:51","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":696,"origin_id":0,"type":0,"video_id":"1","video_time":3053}]},{"breadcrumbs":"考点荟萃<i>></i>几何问题<i>></i>基本公式<i>></i>","component":[{"id":3727558,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"基本公式","parent_id":3635932,"level_no":699,"created_at":"2022-09-21 16:11:51","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":699,"origin_id":0,"type":0,"video_id":"1","video_time":2175}]},{"breadcrumbs":"考点荟萃<i>></i>几何问题<i>></i>解直角三角形<i>></i>","component":[{"id":3727559,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"解直角三角形","parent_id":3635933,"level_no":701,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":701,"origin_id":0,"type":0,"video_id":"1","video_time":2351}]},{"breadcrumbs":"考点荟萃<i>></i>几何问题<i>></i>相似三角形<i>></i>","component":[{"id":3727560,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"相似三角形","parent_id":3635934,"level_no":703,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":703,"origin_id":0,"type":0,"video_id":"1","video_time":2579}]},{"breadcrumbs":"考点荟萃<i>></i>容斥问题<i>></i>两者容斥<i>></i>","component":[{"id":3727561,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"两者容斥","parent_id":3635935,"level_no":706,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":706,"origin_id":0,"type":0,"video_id":"1","video_time":2169}]},{"breadcrumbs":"考点荟萃<i>></i>容斥问题<i>></i>三者容斥<i>></i>","component":[{"id":3727562,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"三者容斥","parent_id":3635936,"level_no":708,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":708,"origin_id":0,"type":0,"video_id":"1","video_time":2961}]},{"breadcrumbs":"思维导图专项总结<i>></i>","component":[{"id":3727563,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"思维导图","parent_id":3635315,"level_no":710,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":710,"origin_id":0,"type":0,"video_id":"1","video_time":2554}]},{"breadcrumbs":"试题精讲<i>></i>","component":[{"id":3727564,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"01-试题精讲","parent_id":3635316,"level_no":712,"created_at":"2022-09-21 16:11:53","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":712,"origin_id":0,"type":0,"video_id":"1","video_time":2871},{"id":3727565,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"02-试题精讲","parent_id":3635316,"level_no":713,"created_at":"2022-09-21 16:11:53","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":713,"origin_id":0,"type":0,"video_id":"1","video_time":2616},{"id":3727566,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"03-试题精讲","parent_id":3635316,"level_no":714,"created_at":"2022-09-21 16:11:53","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":714,"origin_id":0,"type":0,"video_id":"1","video_time":3092}]}]
考点荟萃>极值问题>和定最值>
[{"breadcrumbs":"讲义<i>></i>","component":[{"id":3547206,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"讲义下载","parent_id":3547205,"level_no":665,"created_at":"2022-08-16 10:41:51","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":7,"sort_index":665,"origin_id":0,"type":0}]},{"breadcrumbs":"导学<i>></i>","component":[{"id":3700628,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"导学","parent_id":3547207,"level_no":667,"created_at":"2022-09-16 15:11:40","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":667,"origin_id":0,"type":0,"video_id":"mda-ef9f7ef6486eae887f9c827456250077","video_time":1902}]},{"breadcrumbs":"考点荟萃<i>></i>计算问题<i>></i>和差倍比<i>></i>","component":[{"id":3700629,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"01-和差倍比","parent_id":3635924,"level_no":671,"created_at":"2022-09-16 15:11:40","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":671,"origin_id":0,"type":0,"video_id":"1","video_time":1983},{"id":3700630,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"02-和差倍比","parent_id":3635924,"level_no":672,"created_at":"2022-09-16 15:11:40","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":672,"origin_id":0,"type":0,"video_id":"1","video_time":2106},{"id":3700631,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"03-和差倍比","parent_id":3635924,"level_no":673,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":673,"origin_id":0,"type":0,"video_id":"1","video_time":2029}]},{"breadcrumbs":"考点荟萃<i>></i>计算问题<i>></i>等差数列<i>></i>","component":[{"id":3700632,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"等差数列","parent_id":3635925,"level_no":675,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":675,"origin_id":0,"type":0,"video_id":"1","video_time":2323}]},{"breadcrumbs":"考点荟萃<i>></i>行程问题<i>></i>基本行程<i>></i>","component":[{"id":3700633,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"基本行程","parent_id":3635926,"level_no":678,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":678,"origin_id":0,"type":0,"video_id":"1","video_time":2651}]},{"breadcrumbs":"考点荟萃<i>></i>行程问题<i>></i>相遇追及<i>></i>","component":[{"id":3700634,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"相遇追及","parent_id":3635927,"level_no":680,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":680,"origin_id":0,"type":0,"video_id":"1","video_time":2735}]},{"breadcrumbs":"考点荟萃<i>></i>排列组合问题<i>></i>","component":[{"id":3700635,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"01-排列组合问题","parent_id":3635308,"level_no":682,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":682,"origin_id":0,"type":0,"video_id":"1","video_time":3041},{"id":3700636,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"02-排列组合问题","parent_id":3635308,"level_no":683,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":683,"origin_id":0,"type":0,"video_id":"1","video_time":3138}]},{"breadcrumbs":"考点荟萃<i>></i>古典概率<i>></i>","component":[{"id":3700637,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"古典概率","parent_id":3635309,"level_no":685,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":685,"origin_id":0,"type":0,"video_id":"1","video_time":2376}]},{"breadcrumbs":"考点荟萃<i>></i>工程问题<i>></i>","component":[{"id":3700638,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"01-工程问题","parent_id":3635310,"level_no":687,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":687,"origin_id":0,"type":0,"video_id":"1","video_time":2318},{"id":3700639,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"02-工程问题","parent_id":3635310,"level_no":688,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":688,"origin_id":0,"type":0,"video_id":"1","video_time":2190}]},{"breadcrumbs":"考点荟萃<i>></i>利润问题<i>></i>","component":[{"id":3700640,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"利润问题","parent_id":3635311,"level_no":690,"created_at":"2022-09-16 15:11:43","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":690,"origin_id":0,"type":0,"video_id":"1","video_time":2575}]},{"breadcrumbs":"考点荟萃<i>></i>极值问题<i>></i>和定最值<i>></i>","component":[{"id":3700641,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"01-和定最值","parent_id":3635930,"level_no":693,"created_at":"2022-09-16 15:11:43","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":693,"origin_id":0,"type":0,"video_id":"1","video_time":2371},{"id":3727556,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"02-和定最值","parent_id":3635930,"level_no":694,"created_at":"2022-09-21 16:11:51","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":694,"origin_id":0,"type":0,"video_id":"1","video_time":1292}]},{"breadcrumbs":"考点荟萃<i>></i>极值问题<i>></i>最不利原则<i>></i>","component":[{"id":3727557,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"最不利原则","parent_id":3635931,"level_no":696,"created_at":"2022-09-21 16:11:51","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":696,"origin_id":0,"type":0,"video_id":"1","video_time":3053}]},{"breadcrumbs":"考点荟萃<i>></i>几何问题<i>></i>基本公式<i>></i>","component":[{"id":3727558,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"基本公式","parent_id":3635932,"level_no":699,"created_at":"2022-09-21 16:11:51","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":699,"origin_id":0,"type":0,"video_id":"1","video_time":2175}]},{"breadcrumbs":"考点荟萃<i>></i>几何问题<i>></i>解直角三角形<i>></i>","component":[{"id":3727559,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"解直角三角形","parent_id":3635933,"level_no":701,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":701,"origin_id":0,"type":0,"video_id":"1","video_time":2351}]},{"breadcrumbs":"考点荟萃<i>></i>几何问题<i>></i>相似三角形<i>></i>","component":[{"id":3727560,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"相似三角形","parent_id":3635934,"level_no":703,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":703,"origin_id":0,"type":0,"video_id":"1","video_time":2579}]},{"breadcrumbs":"考点荟萃<i>></i>容斥问题<i>></i>两者容斥<i>></i>","component":[{"id":3727561,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"两者容斥","parent_id":3635935,"level_no":706,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":706,"origin_id":0,"type":0,"video_id":"1","video_time":2169}]},{"breadcrumbs":"考点荟萃<i>></i>容斥问题<i>></i>三者容斥<i>></i>","component":[{"id":3727562,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"三者容斥","parent_id":3635936,"level_no":708,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":708,"origin_id":0,"type":0,"video_id":"1","video_time":2961}]},{"breadcrumbs":"思维导图专项总结<i>></i>","component":[{"id":3727563,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"思维导图","parent_id":3635315,"level_no":710,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":710,"origin_id":0,"type":0,"video_id":"1","video_time":2554}]},{"breadcrumbs":"试题精讲<i>></i>","component":[{"id":3727564,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"01-试题精讲","parent_id":3635316,"level_no":712,"created_at":"2022-09-21 16:11:53","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":712,"origin_id":0,"type":0,"video_id":"1","video_time":2871},{"id":3727565,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"02-试题精讲","parent_id":3635316,"level_no":713,"created_at":"2022-09-21 16:11:53","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":713,"origin_id":0,"type":0,"video_id":"1","video_time":2616},{"id":3727566,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"03-试题精讲","parent_id":3635316,"level_no":714,"created_at":"2022-09-21 16:11:53","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":714,"origin_id":0,"type":0,"video_id":"1","video_time":3092}]}]
考点荟萃>极值问题>最不利原则>
[{"breadcrumbs":"讲义<i>></i>","component":[{"id":3547206,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"讲义下载","parent_id":3547205,"level_no":665,"created_at":"2022-08-16 10:41:51","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":7,"sort_index":665,"origin_id":0,"type":0}]},{"breadcrumbs":"导学<i>></i>","component":[{"id":3700628,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"导学","parent_id":3547207,"level_no":667,"created_at":"2022-09-16 15:11:40","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":667,"origin_id":0,"type":0,"video_id":"mda-ef9f7ef6486eae887f9c827456250077","video_time":1902}]},{"breadcrumbs":"考点荟萃<i>></i>计算问题<i>></i>和差倍比<i>></i>","component":[{"id":3700629,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"01-和差倍比","parent_id":3635924,"level_no":671,"created_at":"2022-09-16 15:11:40","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":671,"origin_id":0,"type":0,"video_id":"1","video_time":1983},{"id":3700630,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"02-和差倍比","parent_id":3635924,"level_no":672,"created_at":"2022-09-16 15:11:40","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":672,"origin_id":0,"type":0,"video_id":"1","video_time":2106},{"id":3700631,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"03-和差倍比","parent_id":3635924,"level_no":673,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":673,"origin_id":0,"type":0,"video_id":"1","video_time":2029}]},{"breadcrumbs":"考点荟萃<i>></i>计算问题<i>></i>等差数列<i>></i>","component":[{"id":3700632,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"等差数列","parent_id":3635925,"level_no":675,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":675,"origin_id":0,"type":0,"video_id":"1","video_time":2323}]},{"breadcrumbs":"考点荟萃<i>></i>行程问题<i>></i>基本行程<i>></i>","component":[{"id":3700633,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"基本行程","parent_id":3635926,"level_no":678,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":678,"origin_id":0,"type":0,"video_id":"1","video_time":2651}]},{"breadcrumbs":"考点荟萃<i>></i>行程问题<i>></i>相遇追及<i>></i>","component":[{"id":3700634,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"相遇追及","parent_id":3635927,"level_no":680,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":680,"origin_id":0,"type":0,"video_id":"1","video_time":2735}]},{"breadcrumbs":"考点荟萃<i>></i>排列组合问题<i>></i>","component":[{"id":3700635,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"01-排列组合问题","parent_id":3635308,"level_no":682,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":682,"origin_id":0,"type":0,"video_id":"1","video_time":3041},{"id":3700636,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"02-排列组合问题","parent_id":3635308,"level_no":683,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":683,"origin_id":0,"type":0,"video_id":"1","video_time":3138}]},{"breadcrumbs":"考点荟萃<i>></i>古典概率<i>></i>","component":[{"id":3700637,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"古典概率","parent_id":3635309,"level_no":685,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":685,"origin_id":0,"type":0,"video_id":"1","video_time":2376}]},{"breadcrumbs":"考点荟萃<i>></i>工程问题<i>></i>","component":[{"id":3700638,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"01-工程问题","parent_id":3635310,"level_no":687,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":687,"origin_id":0,"type":0,"video_id":"1","video_time":2318},{"id":3700639,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"02-工程问题","parent_id":3635310,"level_no":688,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":688,"origin_id":0,"type":0,"video_id":"1","video_time":2190}]},{"breadcrumbs":"考点荟萃<i>></i>利润问题<i>></i>","component":[{"id":3700640,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"利润问题","parent_id":3635311,"level_no":690,"created_at":"2022-09-16 15:11:43","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":690,"origin_id":0,"type":0,"video_id":"1","video_time":2575}]},{"breadcrumbs":"考点荟萃<i>></i>极值问题<i>></i>和定最值<i>></i>","component":[{"id":3700641,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"01-和定最值","parent_id":3635930,"level_no":693,"created_at":"2022-09-16 15:11:43","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":693,"origin_id":0,"type":0,"video_id":"1","video_time":2371},{"id":3727556,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"02-和定最值","parent_id":3635930,"level_no":694,"created_at":"2022-09-21 16:11:51","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":694,"origin_id":0,"type":0,"video_id":"1","video_time":1292}]},{"breadcrumbs":"考点荟萃<i>></i>极值问题<i>></i>最不利原则<i>></i>","component":[{"id":3727557,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"最不利原则","parent_id":3635931,"level_no":696,"created_at":"2022-09-21 16:11:51","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":696,"origin_id":0,"type":0,"video_id":"1","video_time":3053}]},{"breadcrumbs":"考点荟萃<i>></i>几何问题<i>></i>基本公式<i>></i>","component":[{"id":3727558,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"基本公式","parent_id":3635932,"level_no":699,"created_at":"2022-09-21 16:11:51","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":699,"origin_id":0,"type":0,"video_id":"1","video_time":2175}]},{"breadcrumbs":"考点荟萃<i>></i>几何问题<i>></i>解直角三角形<i>></i>","component":[{"id":3727559,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"解直角三角形","parent_id":3635933,"level_no":701,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":701,"origin_id":0,"type":0,"video_id":"1","video_time":2351}]},{"breadcrumbs":"考点荟萃<i>></i>几何问题<i>></i>相似三角形<i>></i>","component":[{"id":3727560,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"相似三角形","parent_id":3635934,"level_no":703,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":703,"origin_id":0,"type":0,"video_id":"1","video_time":2579}]},{"breadcrumbs":"考点荟萃<i>></i>容斥问题<i>></i>两者容斥<i>></i>","component":[{"id":3727561,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"两者容斥","parent_id":3635935,"level_no":706,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":706,"origin_id":0,"type":0,"video_id":"1","video_time":2169}]},{"breadcrumbs":"考点荟萃<i>></i>容斥问题<i>></i>三者容斥<i>></i>","component":[{"id":3727562,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"三者容斥","parent_id":3635936,"level_no":708,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":708,"origin_id":0,"type":0,"video_id":"1","video_time":2961}]},{"breadcrumbs":"思维导图专项总结<i>></i>","component":[{"id":3727563,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"思维导图","parent_id":3635315,"level_no":710,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":710,"origin_id":0,"type":0,"video_id":"1","video_time":2554}]},{"breadcrumbs":"试题精讲<i>></i>","component":[{"id":3727564,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"01-试题精讲","parent_id":3635316,"level_no":712,"created_at":"2022-09-21 16:11:53","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":712,"origin_id":0,"type":0,"video_id":"1","video_time":2871},{"id":3727565,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"02-试题精讲","parent_id":3635316,"level_no":713,"created_at":"2022-09-21 16:11:53","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":713,"origin_id":0,"type":0,"video_id":"1","video_time":2616},{"id":3727566,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"03-试题精讲","parent_id":3635316,"level_no":714,"created_at":"2022-09-21 16:11:53","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":714,"origin_id":0,"type":0,"video_id":"1","video_time":3092}]}]
考点荟萃>几何问题>基本公式>
[{"breadcrumbs":"讲义<i>></i>","component":[{"id":3547206,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"讲义下载","parent_id":3547205,"level_no":665,"created_at":"2022-08-16 10:41:51","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":7,"sort_index":665,"origin_id":0,"type":0}]},{"breadcrumbs":"导学<i>></i>","component":[{"id":3700628,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"导学","parent_id":3547207,"level_no":667,"created_at":"2022-09-16 15:11:40","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":667,"origin_id":0,"type":0,"video_id":"mda-ef9f7ef6486eae887f9c827456250077","video_time":1902}]},{"breadcrumbs":"考点荟萃<i>></i>计算问题<i>></i>和差倍比<i>></i>","component":[{"id":3700629,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"01-和差倍比","parent_id":3635924,"level_no":671,"created_at":"2022-09-16 15:11:40","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":671,"origin_id":0,"type":0,"video_id":"1","video_time":1983},{"id":3700630,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"02-和差倍比","parent_id":3635924,"level_no":672,"created_at":"2022-09-16 15:11:40","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":672,"origin_id":0,"type":0,"video_id":"1","video_time":2106},{"id":3700631,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"03-和差倍比","parent_id":3635924,"level_no":673,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":673,"origin_id":0,"type":0,"video_id":"1","video_time":2029}]},{"breadcrumbs":"考点荟萃<i>></i>计算问题<i>></i>等差数列<i>></i>","component":[{"id":3700632,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"等差数列","parent_id":3635925,"level_no":675,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":675,"origin_id":0,"type":0,"video_id":"1","video_time":2323}]},{"breadcrumbs":"考点荟萃<i>></i>行程问题<i>></i>基本行程<i>></i>","component":[{"id":3700633,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"基本行程","parent_id":3635926,"level_no":678,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":678,"origin_id":0,"type":0,"video_id":"1","video_time":2651}]},{"breadcrumbs":"考点荟萃<i>></i>行程问题<i>></i>相遇追及<i>></i>","component":[{"id":3700634,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"相遇追及","parent_id":3635927,"level_no":680,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":680,"origin_id":0,"type":0,"video_id":"1","video_time":2735}]},{"breadcrumbs":"考点荟萃<i>></i>排列组合问题<i>></i>","component":[{"id":3700635,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"01-排列组合问题","parent_id":3635308,"level_no":682,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":682,"origin_id":0,"type":0,"video_id":"1","video_time":3041},{"id":3700636,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"02-排列组合问题","parent_id":3635308,"level_no":683,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":683,"origin_id":0,"type":0,"video_id":"1","video_time":3138}]},{"breadcrumbs":"考点荟萃<i>></i>古典概率<i>></i>","component":[{"id":3700637,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"古典概率","parent_id":3635309,"level_no":685,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":685,"origin_id":0,"type":0,"video_id":"1","video_time":2376}]},{"breadcrumbs":"考点荟萃<i>></i>工程问题<i>></i>","component":[{"id":3700638,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"01-工程问题","parent_id":3635310,"level_no":687,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":687,"origin_id":0,"type":0,"video_id":"1","video_time":2318},{"id":3700639,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"02-工程问题","parent_id":3635310,"level_no":688,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":688,"origin_id":0,"type":0,"video_id":"1","video_time":2190}]},{"breadcrumbs":"考点荟萃<i>></i>利润问题<i>></i>","component":[{"id":3700640,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"利润问题","parent_id":3635311,"level_no":690,"created_at":"2022-09-16 15:11:43","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":690,"origin_id":0,"type":0,"video_id":"1","video_time":2575}]},{"breadcrumbs":"考点荟萃<i>></i>极值问题<i>></i>和定最值<i>></i>","component":[{"id":3700641,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"01-和定最值","parent_id":3635930,"level_no":693,"created_at":"2022-09-16 15:11:43","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":693,"origin_id":0,"type":0,"video_id":"1","video_time":2371},{"id":3727556,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"02-和定最值","parent_id":3635930,"level_no":694,"created_at":"2022-09-21 16:11:51","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":694,"origin_id":0,"type":0,"video_id":"1","video_time":1292}]},{"breadcrumbs":"考点荟萃<i>></i>极值问题<i>></i>最不利原则<i>></i>","component":[{"id":3727557,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"最不利原则","parent_id":3635931,"level_no":696,"created_at":"2022-09-21 16:11:51","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":696,"origin_id":0,"type":0,"video_id":"1","video_time":3053}]},{"breadcrumbs":"考点荟萃<i>></i>几何问题<i>></i>基本公式<i>></i>","component":[{"id":3727558,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"基本公式","parent_id":3635932,"level_no":699,"created_at":"2022-09-21 16:11:51","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":699,"origin_id":0,"type":0,"video_id":"1","video_time":2175}]},{"breadcrumbs":"考点荟萃<i>></i>几何问题<i>></i>解直角三角形<i>></i>","component":[{"id":3727559,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"解直角三角形","parent_id":3635933,"level_no":701,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":701,"origin_id":0,"type":0,"video_id":"1","video_time":2351}]},{"breadcrumbs":"考点荟萃<i>></i>几何问题<i>></i>相似三角形<i>></i>","component":[{"id":3727560,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"相似三角形","parent_id":3635934,"level_no":703,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":703,"origin_id":0,"type":0,"video_id":"1","video_time":2579}]},{"breadcrumbs":"考点荟萃<i>></i>容斥问题<i>></i>两者容斥<i>></i>","component":[{"id":3727561,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"两者容斥","parent_id":3635935,"level_no":706,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":706,"origin_id":0,"type":0,"video_id":"1","video_time":2169}]},{"breadcrumbs":"考点荟萃<i>></i>容斥问题<i>></i>三者容斥<i>></i>","component":[{"id":3727562,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"三者容斥","parent_id":3635936,"level_no":708,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":708,"origin_id":0,"type":0,"video_id":"1","video_time":2961}]},{"breadcrumbs":"思维导图专项总结<i>></i>","component":[{"id":3727563,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"思维导图","parent_id":3635315,"level_no":710,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":710,"origin_id":0,"type":0,"video_id":"1","video_time":2554}]},{"breadcrumbs":"试题精讲<i>></i>","component":[{"id":3727564,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"01-试题精讲","parent_id":3635316,"level_no":712,"created_at":"2022-09-21 16:11:53","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":712,"origin_id":0,"type":0,"video_id":"1","video_time":2871},{"id":3727565,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"02-试题精讲","parent_id":3635316,"level_no":713,"created_at":"2022-09-21 16:11:53","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":713,"origin_id":0,"type":0,"video_id":"1","video_time":2616},{"id":3727566,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"03-试题精讲","parent_id":3635316,"level_no":714,"created_at":"2022-09-21 16:11:53","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":714,"origin_id":0,"type":0,"video_id":"1","video_time":3092}]}]
考点荟萃>几何问题>解直角三角形>
[{"breadcrumbs":"讲义<i>></i>","component":[{"id":3547206,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"讲义下载","parent_id":3547205,"level_no":665,"created_at":"2022-08-16 10:41:51","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":7,"sort_index":665,"origin_id":0,"type":0}]},{"breadcrumbs":"导学<i>></i>","component":[{"id":3700628,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"导学","parent_id":3547207,"level_no":667,"created_at":"2022-09-16 15:11:40","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":667,"origin_id":0,"type":0,"video_id":"mda-ef9f7ef6486eae887f9c827456250077","video_time":1902}]},{"breadcrumbs":"考点荟萃<i>></i>计算问题<i>></i>和差倍比<i>></i>","component":[{"id":3700629,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"01-和差倍比","parent_id":3635924,"level_no":671,"created_at":"2022-09-16 15:11:40","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":671,"origin_id":0,"type":0,"video_id":"1","video_time":1983},{"id":3700630,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"02-和差倍比","parent_id":3635924,"level_no":672,"created_at":"2022-09-16 15:11:40","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":672,"origin_id":0,"type":0,"video_id":"1","video_time":2106},{"id":3700631,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"03-和差倍比","parent_id":3635924,"level_no":673,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":673,"origin_id":0,"type":0,"video_id":"1","video_time":2029}]},{"breadcrumbs":"考点荟萃<i>></i>计算问题<i>></i>等差数列<i>></i>","component":[{"id":3700632,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"等差数列","parent_id":3635925,"level_no":675,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":675,"origin_id":0,"type":0,"video_id":"1","video_time":2323}]},{"breadcrumbs":"考点荟萃<i>></i>行程问题<i>></i>基本行程<i>></i>","component":[{"id":3700633,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"基本行程","parent_id":3635926,"level_no":678,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":678,"origin_id":0,"type":0,"video_id":"1","video_time":2651}]},{"breadcrumbs":"考点荟萃<i>></i>行程问题<i>></i>相遇追及<i>></i>","component":[{"id":3700634,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"相遇追及","parent_id":3635927,"level_no":680,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":680,"origin_id":0,"type":0,"video_id":"1","video_time":2735}]},{"breadcrumbs":"考点荟萃<i>></i>排列组合问题<i>></i>","component":[{"id":3700635,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"01-排列组合问题","parent_id":3635308,"level_no":682,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":682,"origin_id":0,"type":0,"video_id":"1","video_time":3041},{"id":3700636,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"02-排列组合问题","parent_id":3635308,"level_no":683,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":683,"origin_id":0,"type":0,"video_id":"1","video_time":3138}]},{"breadcrumbs":"考点荟萃<i>></i>古典概率<i>></i>","component":[{"id":3700637,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"古典概率","parent_id":3635309,"level_no":685,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":685,"origin_id":0,"type":0,"video_id":"1","video_time":2376}]},{"breadcrumbs":"考点荟萃<i>></i>工程问题<i>></i>","component":[{"id":3700638,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"01-工程问题","parent_id":3635310,"level_no":687,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":687,"origin_id":0,"type":0,"video_id":"1","video_time":2318},{"id":3700639,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"02-工程问题","parent_id":3635310,"level_no":688,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":688,"origin_id":0,"type":0,"video_id":"1","video_time":2190}]},{"breadcrumbs":"考点荟萃<i>></i>利润问题<i>></i>","component":[{"id":3700640,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"利润问题","parent_id":3635311,"level_no":690,"created_at":"2022-09-16 15:11:43","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":690,"origin_id":0,"type":0,"video_id":"1","video_time":2575}]},{"breadcrumbs":"考点荟萃<i>></i>极值问题<i>></i>和定最值<i>></i>","component":[{"id":3700641,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"01-和定最值","parent_id":3635930,"level_no":693,"created_at":"2022-09-16 15:11:43","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":693,"origin_id":0,"type":0,"video_id":"1","video_time":2371},{"id":3727556,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"02-和定最值","parent_id":3635930,"level_no":694,"created_at":"2022-09-21 16:11:51","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":694,"origin_id":0,"type":0,"video_id":"1","video_time":1292}]},{"breadcrumbs":"考点荟萃<i>></i>极值问题<i>></i>最不利原则<i>></i>","component":[{"id":3727557,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"最不利原则","parent_id":3635931,"level_no":696,"created_at":"2022-09-21 16:11:51","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":696,"origin_id":0,"type":0,"video_id":"1","video_time":3053}]},{"breadcrumbs":"考点荟萃<i>></i>几何问题<i>></i>基本公式<i>></i>","component":[{"id":3727558,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"基本公式","parent_id":3635932,"level_no":699,"created_at":"2022-09-21 16:11:51","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":699,"origin_id":0,"type":0,"video_id":"1","video_time":2175}]},{"breadcrumbs":"考点荟萃<i>></i>几何问题<i>></i>解直角三角形<i>></i>","component":[{"id":3727559,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"解直角三角形","parent_id":3635933,"level_no":701,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":701,"origin_id":0,"type":0,"video_id":"1","video_time":2351}]},{"breadcrumbs":"考点荟萃<i>></i>几何问题<i>></i>相似三角形<i>></i>","component":[{"id":3727560,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"相似三角形","parent_id":3635934,"level_no":703,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":703,"origin_id":0,"type":0,"video_id":"1","video_time":2579}]},{"breadcrumbs":"考点荟萃<i>></i>容斥问题<i>></i>两者容斥<i>></i>","component":[{"id":3727561,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"两者容斥","parent_id":3635935,"level_no":706,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":706,"origin_id":0,"type":0,"video_id":"1","video_time":2169}]},{"breadcrumbs":"考点荟萃<i>></i>容斥问题<i>></i>三者容斥<i>></i>","component":[{"id":3727562,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"三者容斥","parent_id":3635936,"level_no":708,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":708,"origin_id":0,"type":0,"video_id":"1","video_time":2961}]},{"breadcrumbs":"思维导图专项总结<i>></i>","component":[{"id":3727563,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"思维导图","parent_id":3635315,"level_no":710,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":710,"origin_id":0,"type":0,"video_id":"1","video_time":2554}]},{"breadcrumbs":"试题精讲<i>></i>","component":[{"id":3727564,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"01-试题精讲","parent_id":3635316,"level_no":712,"created_at":"2022-09-21 16:11:53","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":712,"origin_id":0,"type":0,"video_id":"1","video_time":2871},{"id":3727565,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"02-试题精讲","parent_id":3635316,"level_no":713,"created_at":"2022-09-21 16:11:53","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":713,"origin_id":0,"type":0,"video_id":"1","video_time":2616},{"id":3727566,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"03-试题精讲","parent_id":3635316,"level_no":714,"created_at":"2022-09-21 16:11:53","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":714,"origin_id":0,"type":0,"video_id":"1","video_time":3092}]}]
考点荟萃>几何问题>相似三角形>
[{"breadcrumbs":"讲义<i>></i>","component":[{"id":3547206,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"讲义下载","parent_id":3547205,"level_no":665,"created_at":"2022-08-16 10:41:51","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":7,"sort_index":665,"origin_id":0,"type":0}]},{"breadcrumbs":"导学<i>></i>","component":[{"id":3700628,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"导学","parent_id":3547207,"level_no":667,"created_at":"2022-09-16 15:11:40","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":667,"origin_id":0,"type":0,"video_id":"mda-ef9f7ef6486eae887f9c827456250077","video_time":1902}]},{"breadcrumbs":"考点荟萃<i>></i>计算问题<i>></i>和差倍比<i>></i>","component":[{"id":3700629,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"01-和差倍比","parent_id":3635924,"level_no":671,"created_at":"2022-09-16 15:11:40","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":671,"origin_id":0,"type":0,"video_id":"1","video_time":1983},{"id":3700630,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"02-和差倍比","parent_id":3635924,"level_no":672,"created_at":"2022-09-16 15:11:40","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":672,"origin_id":0,"type":0,"video_id":"1","video_time":2106},{"id":3700631,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"03-和差倍比","parent_id":3635924,"level_no":673,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":673,"origin_id":0,"type":0,"video_id":"1","video_time":2029}]},{"breadcrumbs":"考点荟萃<i>></i>计算问题<i>></i>等差数列<i>></i>","component":[{"id":3700632,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"等差数列","parent_id":3635925,"level_no":675,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":675,"origin_id":0,"type":0,"video_id":"1","video_time":2323}]},{"breadcrumbs":"考点荟萃<i>></i>行程问题<i>></i>基本行程<i>></i>","component":[{"id":3700633,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"基本行程","parent_id":3635926,"level_no":678,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":678,"origin_id":0,"type":0,"video_id":"1","video_time":2651}]},{"breadcrumbs":"考点荟萃<i>></i>行程问题<i>></i>相遇追及<i>></i>","component":[{"id":3700634,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"相遇追及","parent_id":3635927,"level_no":680,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":680,"origin_id":0,"type":0,"video_id":"1","video_time":2735}]},{"breadcrumbs":"考点荟萃<i>></i>排列组合问题<i>></i>","component":[{"id":3700635,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"01-排列组合问题","parent_id":3635308,"level_no":682,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":682,"origin_id":0,"type":0,"video_id":"1","video_time":3041},{"id":3700636,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"02-排列组合问题","parent_id":3635308,"level_no":683,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":683,"origin_id":0,"type":0,"video_id":"1","video_time":3138}]},{"breadcrumbs":"考点荟萃<i>></i>古典概率<i>></i>","component":[{"id":3700637,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"古典概率","parent_id":3635309,"level_no":685,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":685,"origin_id":0,"type":0,"video_id":"1","video_time":2376}]},{"breadcrumbs":"考点荟萃<i>></i>工程问题<i>></i>","component":[{"id":3700638,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"01-工程问题","parent_id":3635310,"level_no":687,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":687,"origin_id":0,"type":0,"video_id":"1","video_time":2318},{"id":3700639,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"02-工程问题","parent_id":3635310,"level_no":688,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":688,"origin_id":0,"type":0,"video_id":"1","video_time":2190}]},{"breadcrumbs":"考点荟萃<i>></i>利润问题<i>></i>","component":[{"id":3700640,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"利润问题","parent_id":3635311,"level_no":690,"created_at":"2022-09-16 15:11:43","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":690,"origin_id":0,"type":0,"video_id":"1","video_time":2575}]},{"breadcrumbs":"考点荟萃<i>></i>极值问题<i>></i>和定最值<i>></i>","component":[{"id":3700641,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"01-和定最值","parent_id":3635930,"level_no":693,"created_at":"2022-09-16 15:11:43","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":693,"origin_id":0,"type":0,"video_id":"1","video_time":2371},{"id":3727556,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"02-和定最值","parent_id":3635930,"level_no":694,"created_at":"2022-09-21 16:11:51","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":694,"origin_id":0,"type":0,"video_id":"1","video_time":1292}]},{"breadcrumbs":"考点荟萃<i>></i>极值问题<i>></i>最不利原则<i>></i>","component":[{"id":3727557,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"最不利原则","parent_id":3635931,"level_no":696,"created_at":"2022-09-21 16:11:51","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":696,"origin_id":0,"type":0,"video_id":"1","video_time":3053}]},{"breadcrumbs":"考点荟萃<i>></i>几何问题<i>></i>基本公式<i>></i>","component":[{"id":3727558,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"基本公式","parent_id":3635932,"level_no":699,"created_at":"2022-09-21 16:11:51","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":699,"origin_id":0,"type":0,"video_id":"1","video_time":2175}]},{"breadcrumbs":"考点荟萃<i>></i>几何问题<i>></i>解直角三角形<i>></i>","component":[{"id":3727559,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"解直角三角形","parent_id":3635933,"level_no":701,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":701,"origin_id":0,"type":0,"video_id":"1","video_time":2351}]},{"breadcrumbs":"考点荟萃<i>></i>几何问题<i>></i>相似三角形<i>></i>","component":[{"id":3727560,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"相似三角形","parent_id":3635934,"level_no":703,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":703,"origin_id":0,"type":0,"video_id":"1","video_time":2579}]},{"breadcrumbs":"考点荟萃<i>></i>容斥问题<i>></i>两者容斥<i>></i>","component":[{"id":3727561,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"两者容斥","parent_id":3635935,"level_no":706,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":706,"origin_id":0,"type":0,"video_id":"1","video_time":2169}]},{"breadcrumbs":"考点荟萃<i>></i>容斥问题<i>></i>三者容斥<i>></i>","component":[{"id":3727562,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"三者容斥","parent_id":3635936,"level_no":708,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":708,"origin_id":0,"type":0,"video_id":"1","video_time":2961}]},{"breadcrumbs":"思维导图专项总结<i>></i>","component":[{"id":3727563,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"思维导图","parent_id":3635315,"level_no":710,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":710,"origin_id":0,"type":0,"video_id":"1","video_time":2554}]},{"breadcrumbs":"试题精讲<i>></i>","component":[{"id":3727564,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"01-试题精讲","parent_id":3635316,"level_no":712,"created_at":"2022-09-21 16:11:53","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":712,"origin_id":0,"type":0,"video_id":"1","video_time":2871},{"id":3727565,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"02-试题精讲","parent_id":3635316,"level_no":713,"created_at":"2022-09-21 16:11:53","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":713,"origin_id":0,"type":0,"video_id":"1","video_time":2616},{"id":3727566,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"03-试题精讲","parent_id":3635316,"level_no":714,"created_at":"2022-09-21 16:11:53","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":714,"origin_id":0,"type":0,"video_id":"1","video_time":3092}]}]
考点荟萃>容斥问题>两者容斥>
[{"breadcrumbs":"讲义<i>></i>","component":[{"id":3547206,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"讲义下载","parent_id":3547205,"level_no":665,"created_at":"2022-08-16 10:41:51","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":7,"sort_index":665,"origin_id":0,"type":0}]},{"breadcrumbs":"导学<i>></i>","component":[{"id":3700628,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"导学","parent_id":3547207,"level_no":667,"created_at":"2022-09-16 15:11:40","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":667,"origin_id":0,"type":0,"video_id":"mda-ef9f7ef6486eae887f9c827456250077","video_time":1902}]},{"breadcrumbs":"考点荟萃<i>></i>计算问题<i>></i>和差倍比<i>></i>","component":[{"id":3700629,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"01-和差倍比","parent_id":3635924,"level_no":671,"created_at":"2022-09-16 15:11:40","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":671,"origin_id":0,"type":0,"video_id":"1","video_time":1983},{"id":3700630,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"02-和差倍比","parent_id":3635924,"level_no":672,"created_at":"2022-09-16 15:11:40","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":672,"origin_id":0,"type":0,"video_id":"1","video_time":2106},{"id":3700631,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"03-和差倍比","parent_id":3635924,"level_no":673,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":673,"origin_id":0,"type":0,"video_id":"1","video_time":2029}]},{"breadcrumbs":"考点荟萃<i>></i>计算问题<i>></i>等差数列<i>></i>","component":[{"id":3700632,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"等差数列","parent_id":3635925,"level_no":675,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":675,"origin_id":0,"type":0,"video_id":"1","video_time":2323}]},{"breadcrumbs":"考点荟萃<i>></i>行程问题<i>></i>基本行程<i>></i>","component":[{"id":3700633,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"基本行程","parent_id":3635926,"level_no":678,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":678,"origin_id":0,"type":0,"video_id":"1","video_time":2651}]},{"breadcrumbs":"考点荟萃<i>></i>行程问题<i>></i>相遇追及<i>></i>","component":[{"id":3700634,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"相遇追及","parent_id":3635927,"level_no":680,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":680,"origin_id":0,"type":0,"video_id":"1","video_time":2735}]},{"breadcrumbs":"考点荟萃<i>></i>排列组合问题<i>></i>","component":[{"id":3700635,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"01-排列组合问题","parent_id":3635308,"level_no":682,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":682,"origin_id":0,"type":0,"video_id":"1","video_time":3041},{"id":3700636,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"02-排列组合问题","parent_id":3635308,"level_no":683,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":683,"origin_id":0,"type":0,"video_id":"1","video_time":3138}]},{"breadcrumbs":"考点荟萃<i>></i>古典概率<i>></i>","component":[{"id":3700637,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"古典概率","parent_id":3635309,"level_no":685,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":685,"origin_id":0,"type":0,"video_id":"1","video_time":2376}]},{"breadcrumbs":"考点荟萃<i>></i>工程问题<i>></i>","component":[{"id":3700638,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"01-工程问题","parent_id":3635310,"level_no":687,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":687,"origin_id":0,"type":0,"video_id":"1","video_time":2318},{"id":3700639,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"02-工程问题","parent_id":3635310,"level_no":688,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":688,"origin_id":0,"type":0,"video_id":"1","video_time":2190}]},{"breadcrumbs":"考点荟萃<i>></i>利润问题<i>></i>","component":[{"id":3700640,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"利润问题","parent_id":3635311,"level_no":690,"created_at":"2022-09-16 15:11:43","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":690,"origin_id":0,"type":0,"video_id":"1","video_time":2575}]},{"breadcrumbs":"考点荟萃<i>></i>极值问题<i>></i>和定最值<i>></i>","component":[{"id":3700641,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"01-和定最值","parent_id":3635930,"level_no":693,"created_at":"2022-09-16 15:11:43","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":693,"origin_id":0,"type":0,"video_id":"1","video_time":2371},{"id":3727556,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"02-和定最值","parent_id":3635930,"level_no":694,"created_at":"2022-09-21 16:11:51","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":694,"origin_id":0,"type":0,"video_id":"1","video_time":1292}]},{"breadcrumbs":"考点荟萃<i>></i>极值问题<i>></i>最不利原则<i>></i>","component":[{"id":3727557,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"最不利原则","parent_id":3635931,"level_no":696,"created_at":"2022-09-21 16:11:51","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":696,"origin_id":0,"type":0,"video_id":"1","video_time":3053}]},{"breadcrumbs":"考点荟萃<i>></i>几何问题<i>></i>基本公式<i>></i>","component":[{"id":3727558,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"基本公式","parent_id":3635932,"level_no":699,"created_at":"2022-09-21 16:11:51","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":699,"origin_id":0,"type":0,"video_id":"1","video_time":2175}]},{"breadcrumbs":"考点荟萃<i>></i>几何问题<i>></i>解直角三角形<i>></i>","component":[{"id":3727559,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"解直角三角形","parent_id":3635933,"level_no":701,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":701,"origin_id":0,"type":0,"video_id":"1","video_time":2351}]},{"breadcrumbs":"考点荟萃<i>></i>几何问题<i>></i>相似三角形<i>></i>","component":[{"id":3727560,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"相似三角形","parent_id":3635934,"level_no":703,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":703,"origin_id":0,"type":0,"video_id":"1","video_time":2579}]},{"breadcrumbs":"考点荟萃<i>></i>容斥问题<i>></i>两者容斥<i>></i>","component":[{"id":3727561,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"两者容斥","parent_id":3635935,"level_no":706,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":706,"origin_id":0,"type":0,"video_id":"1","video_time":2169}]},{"breadcrumbs":"考点荟萃<i>></i>容斥问题<i>></i>三者容斥<i>></i>","component":[{"id":3727562,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"三者容斥","parent_id":3635936,"level_no":708,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":708,"origin_id":0,"type":0,"video_id":"1","video_time":2961}]},{"breadcrumbs":"思维导图专项总结<i>></i>","component":[{"id":3727563,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"思维导图","parent_id":3635315,"level_no":710,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":710,"origin_id":0,"type":0,"video_id":"1","video_time":2554}]},{"breadcrumbs":"试题精讲<i>></i>","component":[{"id":3727564,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"01-试题精讲","parent_id":3635316,"level_no":712,"created_at":"2022-09-21 16:11:53","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":712,"origin_id":0,"type":0,"video_id":"1","video_time":2871},{"id":3727565,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"02-试题精讲","parent_id":3635316,"level_no":713,"created_at":"2022-09-21 16:11:53","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":713,"origin_id":0,"type":0,"video_id":"1","video_time":2616},{"id":3727566,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"03-试题精讲","parent_id":3635316,"level_no":714,"created_at":"2022-09-21 16:11:53","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":714,"origin_id":0,"type":0,"video_id":"1","video_time":3092}]}]
考点荟萃>容斥问题>三者容斥>
[{"breadcrumbs":"讲义<i>></i>","component":[{"id":3547206,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"讲义下载","parent_id":3547205,"level_no":665,"created_at":"2022-08-16 10:41:51","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":7,"sort_index":665,"origin_id":0,"type":0}]},{"breadcrumbs":"导学<i>></i>","component":[{"id":3700628,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"导学","parent_id":3547207,"level_no":667,"created_at":"2022-09-16 15:11:40","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":667,"origin_id":0,"type":0,"video_id":"mda-ef9f7ef6486eae887f9c827456250077","video_time":1902}]},{"breadcrumbs":"考点荟萃<i>></i>计算问题<i>></i>和差倍比<i>></i>","component":[{"id":3700629,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"01-和差倍比","parent_id":3635924,"level_no":671,"created_at":"2022-09-16 15:11:40","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":671,"origin_id":0,"type":0,"video_id":"1","video_time":1983},{"id":3700630,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"02-和差倍比","parent_id":3635924,"level_no":672,"created_at":"2022-09-16 15:11:40","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":672,"origin_id":0,"type":0,"video_id":"1","video_time":2106},{"id":3700631,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"03-和差倍比","parent_id":3635924,"level_no":673,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":673,"origin_id":0,"type":0,"video_id":"1","video_time":2029}]},{"breadcrumbs":"考点荟萃<i>></i>计算问题<i>></i>等差数列<i>></i>","component":[{"id":3700632,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"等差数列","parent_id":3635925,"level_no":675,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":675,"origin_id":0,"type":0,"video_id":"1","video_time":2323}]},{"breadcrumbs":"考点荟萃<i>></i>行程问题<i>></i>基本行程<i>></i>","component":[{"id":3700633,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"基本行程","parent_id":3635926,"level_no":678,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":678,"origin_id":0,"type":0,"video_id":"1","video_time":2651}]},{"breadcrumbs":"考点荟萃<i>></i>行程问题<i>></i>相遇追及<i>></i>","component":[{"id":3700634,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"相遇追及","parent_id":3635927,"level_no":680,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":680,"origin_id":0,"type":0,"video_id":"1","video_time":2735}]},{"breadcrumbs":"考点荟萃<i>></i>排列组合问题<i>></i>","component":[{"id":3700635,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"01-排列组合问题","parent_id":3635308,"level_no":682,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":682,"origin_id":0,"type":0,"video_id":"1","video_time":3041},{"id":3700636,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"02-排列组合问题","parent_id":3635308,"level_no":683,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":683,"origin_id":0,"type":0,"video_id":"1","video_time":3138}]},{"breadcrumbs":"考点荟萃<i>></i>古典概率<i>></i>","component":[{"id":3700637,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"古典概率","parent_id":3635309,"level_no":685,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":685,"origin_id":0,"type":0,"video_id":"1","video_time":2376}]},{"breadcrumbs":"考点荟萃<i>></i>工程问题<i>></i>","component":[{"id":3700638,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"01-工程问题","parent_id":3635310,"level_no":687,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":687,"origin_id":0,"type":0,"video_id":"1","video_time":2318},{"id":3700639,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"02-工程问题","parent_id":3635310,"level_no":688,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":688,"origin_id":0,"type":0,"video_id":"1","video_time":2190}]},{"breadcrumbs":"考点荟萃<i>></i>利润问题<i>></i>","component":[{"id":3700640,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"利润问题","parent_id":3635311,"level_no":690,"created_at":"2022-09-16 15:11:43","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":690,"origin_id":0,"type":0,"video_id":"1","video_time":2575}]},{"breadcrumbs":"考点荟萃<i>></i>极值问题<i>></i>和定最值<i>></i>","component":[{"id":3700641,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"01-和定最值","parent_id":3635930,"level_no":693,"created_at":"2022-09-16 15:11:43","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":693,"origin_id":0,"type":0,"video_id":"1","video_time":2371},{"id":3727556,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"02-和定最值","parent_id":3635930,"level_no":694,"created_at":"2022-09-21 16:11:51","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":694,"origin_id":0,"type":0,"video_id":"1","video_time":1292}]},{"breadcrumbs":"考点荟萃<i>></i>极值问题<i>></i>最不利原则<i>></i>","component":[{"id":3727557,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"最不利原则","parent_id":3635931,"level_no":696,"created_at":"2022-09-21 16:11:51","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":696,"origin_id":0,"type":0,"video_id":"1","video_time":3053}]},{"breadcrumbs":"考点荟萃<i>></i>几何问题<i>></i>基本公式<i>></i>","component":[{"id":3727558,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"基本公式","parent_id":3635932,"level_no":699,"created_at":"2022-09-21 16:11:51","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":699,"origin_id":0,"type":0,"video_id":"1","video_time":2175}]},{"breadcrumbs":"考点荟萃<i>></i>几何问题<i>></i>解直角三角形<i>></i>","component":[{"id":3727559,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"解直角三角形","parent_id":3635933,"level_no":701,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":701,"origin_id":0,"type":0,"video_id":"1","video_time":2351}]},{"breadcrumbs":"考点荟萃<i>></i>几何问题<i>></i>相似三角形<i>></i>","component":[{"id":3727560,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"相似三角形","parent_id":3635934,"level_no":703,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":703,"origin_id":0,"type":0,"video_id":"1","video_time":2579}]},{"breadcrumbs":"考点荟萃<i>></i>容斥问题<i>></i>两者容斥<i>></i>","component":[{"id":3727561,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"两者容斥","parent_id":3635935,"level_no":706,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":706,"origin_id":0,"type":0,"video_id":"1","video_time":2169}]},{"breadcrumbs":"考点荟萃<i>></i>容斥问题<i>></i>三者容斥<i>></i>","component":[{"id":3727562,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"三者容斥","parent_id":3635936,"level_no":708,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":708,"origin_id":0,"type":0,"video_id":"1","video_time":2961}]},{"breadcrumbs":"思维导图专项总结<i>></i>","component":[{"id":3727563,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"思维导图","parent_id":3635315,"level_no":710,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":710,"origin_id":0,"type":0,"video_id":"1","video_time":2554}]},{"breadcrumbs":"试题精讲<i>></i>","component":[{"id":3727564,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"01-试题精讲","parent_id":3635316,"level_no":712,"created_at":"2022-09-21 16:11:53","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":712,"origin_id":0,"type":0,"video_id":"1","video_time":2871},{"id":3727565,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"02-试题精讲","parent_id":3635316,"level_no":713,"created_at":"2022-09-21 16:11:53","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":713,"origin_id":0,"type":0,"video_id":"1","video_time":2616},{"id":3727566,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"03-试题精讲","parent_id":3635316,"level_no":714,"created_at":"2022-09-21 16:11:53","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":714,"origin_id":0,"type":0,"video_id":"1","video_time":3092}]}]
思维导图专项总结>
[{"breadcrumbs":"讲义<i>></i>","component":[{"id":3547206,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"讲义下载","parent_id":3547205,"level_no":665,"created_at":"2022-08-16 10:41:51","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":7,"sort_index":665,"origin_id":0,"type":0}]},{"breadcrumbs":"导学<i>></i>","component":[{"id":3700628,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"导学","parent_id":3547207,"level_no":667,"created_at":"2022-09-16 15:11:40","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":667,"origin_id":0,"type":0,"video_id":"mda-ef9f7ef6486eae887f9c827456250077","video_time":1902}]},{"breadcrumbs":"考点荟萃<i>></i>计算问题<i>></i>和差倍比<i>></i>","component":[{"id":3700629,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"01-和差倍比","parent_id":3635924,"level_no":671,"created_at":"2022-09-16 15:11:40","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":671,"origin_id":0,"type":0,"video_id":"1","video_time":1983},{"id":3700630,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"02-和差倍比","parent_id":3635924,"level_no":672,"created_at":"2022-09-16 15:11:40","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":672,"origin_id":0,"type":0,"video_id":"1","video_time":2106},{"id":3700631,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"03-和差倍比","parent_id":3635924,"level_no":673,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":673,"origin_id":0,"type":0,"video_id":"1","video_time":2029}]},{"breadcrumbs":"考点荟萃<i>></i>计算问题<i>></i>等差数列<i>></i>","component":[{"id":3700632,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"等差数列","parent_id":3635925,"level_no":675,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:15","deleted_at":null,"module_type":2,"sort_index":675,"origin_id":0,"type":0,"video_id":"1","video_time":2323}]},{"breadcrumbs":"考点荟萃<i>></i>行程问题<i>></i>基本行程<i>></i>","component":[{"id":3700633,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"基本行程","parent_id":3635926,"level_no":678,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":678,"origin_id":0,"type":0,"video_id":"1","video_time":2651}]},{"breadcrumbs":"考点荟萃<i>></i>行程问题<i>></i>相遇追及<i>></i>","component":[{"id":3700634,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"相遇追及","parent_id":3635927,"level_no":680,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":680,"origin_id":0,"type":0,"video_id":"1","video_time":2735}]},{"breadcrumbs":"考点荟萃<i>></i>排列组合问题<i>></i>","component":[{"id":3700635,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"01-排列组合问题","parent_id":3635308,"level_no":682,"created_at":"2022-09-16 15:11:41","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":682,"origin_id":0,"type":0,"video_id":"1","video_time":3041},{"id":3700636,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"02-排列组合问题","parent_id":3635308,"level_no":683,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":683,"origin_id":0,"type":0,"video_id":"1","video_time":3138}]},{"breadcrumbs":"考点荟萃<i>></i>古典概率<i>></i>","component":[{"id":3700637,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"古典概率","parent_id":3635309,"level_no":685,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":685,"origin_id":0,"type":0,"video_id":"1","video_time":2376}]},{"breadcrumbs":"考点荟萃<i>></i>工程问题<i>></i>","component":[{"id":3700638,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"01-工程问题","parent_id":3635310,"level_no":687,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":687,"origin_id":0,"type":0,"video_id":"1","video_time":2318},{"id":3700639,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"02-工程问题","parent_id":3635310,"level_no":688,"created_at":"2022-09-16 15:11:42","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":688,"origin_id":0,"type":0,"video_id":"1","video_time":2190}]},{"breadcrumbs":"考点荟萃<i>></i>利润问题<i>></i>","component":[{"id":3700640,"level_catalog":3,"level_type":2,"child_type":0,"level_name":"利润问题","parent_id":3635311,"level_no":690,"created_at":"2022-09-16 15:11:43","updated_at":"2023-11-13 15:31:16","deleted_at":null,"module_type":2,"sort_index":690,"origin_id":0,"type":0,"video_id":"1","video_time":2575}]},{"breadcrumbs":"考点荟萃<i>></i>极值问题<i>></i>和定最值<i>></i>","component":[{"id":3700641,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"01-和定最值","parent_id":3635930,"level_no":693,"created_at":"2022-09-16 15:11:43","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":693,"origin_id":0,"type":0,"video_id":"1","video_time":2371},{"id":3727556,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"02-和定最值","parent_id":3635930,"level_no":694,"created_at":"2022-09-21 16:11:51","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":694,"origin_id":0,"type":0,"video_id":"1","video_time":1292}]},{"breadcrumbs":"考点荟萃<i>></i>极值问题<i>></i>最不利原则<i>></i>","component":[{"id":3727557,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"最不利原则","parent_id":3635931,"level_no":696,"created_at":"2022-09-21 16:11:51","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":696,"origin_id":0,"type":0,"video_id":"1","video_time":3053}]},{"breadcrumbs":"考点荟萃<i>></i>几何问题<i>></i>基本公式<i>></i>","component":[{"id":3727558,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"基本公式","parent_id":3635932,"level_no":699,"created_at":"2022-09-21 16:11:51","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":699,"origin_id":0,"type":0,"video_id":"1","video_time":2175}]},{"breadcrumbs":"考点荟萃<i>></i>几何问题<i>></i>解直角三角形<i>></i>","component":[{"id":3727559,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"解直角三角形","parent_id":3635933,"level_no":701,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":701,"origin_id":0,"type":0,"video_id":"1","video_time":2351}]},{"breadcrumbs":"考点荟萃<i>></i>几何问题<i>></i>相似三角形<i>></i>","component":[{"id":3727560,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"相似三角形","parent_id":3635934,"level_no":703,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":703,"origin_id":0,"type":0,"video_id":"1","video_time":2579}]},{"breadcrumbs":"考点荟萃<i>></i>容斥问题<i>></i>两者容斥<i>></i>","component":[{"id":3727561,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"两者容斥","parent_id":3635935,"level_no":706,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":706,"origin_id":0,"type":0,"video_id":"1","video_time":2169}]},{"breadcrumbs":"考点荟萃<i>></i>容斥问题<i>></i>三者容斥<i>></i>","component":[{"id":3727562,"level_catalog":4,"level_type":2,"child_type":0,"level_name":"三者容斥","parent_id":3635936,"level_no":708,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":708,"origin_id":0,"type":0,"video_id":"1","video_time":2961}]},{"breadcrumbs":"思维导图专项总结<i>></i>","component":[{"id":3727563,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"思维导图","parent_id":3635315,"level_no":710,"created_at":"2022-09-21 16:11:52","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":710,"origin_id":0,"type":0,"video_id":"1","video_time":2554}]},{"breadcrumbs":"试题精讲<i>></i>","component":[{"id":3727564,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"01-试题精讲","parent_id":3635316,"level_no":712,"created_at":"2022-09-21 16:11:53","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":712,"origin_id":0,"type":0,"video_id":"1","video_time":2871},{"id":3727565,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"02-试题精讲","parent_id":3635316,"level_no":713,"created_at":"2022-09-21 16:11:53","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":713,"origin_id":0,"type":0,"video_id":"1","video_time":2616},{"id":3727566,"level_catalog":2,"level_type":2,"child_type":0,"level_name":"03-试题精讲","parent_id":3635316,"level_no":714,"created_at":"2022-09-21 16:11:53","updated_at":"2023-11-13 15:31:17","deleted_at":null,"module_type":2,"sort_index":714,"origin_id":0,"type":0,"video_id":"1","video_time":3092}]}]
试题精讲>