• 通过提供制定化的规划服务,科学合理的教学内容
  • 及各类教育稀缺资源,为孩子达成升学梦想保驾护航
  • 课程设计针对学生的具体需求,提供个性化的教学方案

400-888-9073

上海AMC12数学竞赛课程全解析:从知识体系到竞赛突围的进阶指南

上海AMC12数学竞赛课程全解析:从知识体系到竞赛突围的进阶指南

授课机构: 上海格思国际教育松江校区

上课地点: 校区地址

成交/评价:

联系电话: 400-888-9073

上海AMC12数学竞赛课程全解析:从知识体系到竞赛突围的进阶指南课程详情

AMC12竞赛的价值与课程设计逻辑

在国际数学竞赛体系中,AMC12是衡量高中生数学综合能力的重要标尺。其不仅是AIME邀请赛的入场券,更是高校招生时关注的学术能力证明。上海格思国际教育松江校区的AMC12数学竞赛课程,正是基于这一竞赛特性,以“精准突破+系统提升”为核心逻辑,帮助学生在有限时间内构建竞赛所需的知识框架与解题策略。

区别于常规数学教学,AMC12对学生的知识深度与思维灵活性要求更高。课程团队通过分析近十年AMC12真题,提炼出高频考点与易错题型,将教学内容分为“知识夯实—题型突破—实战模拟”三大阶段,确保学生既能掌握高等代数、几何等核心知识,又能在限时环境下快速反应。

课程核心内容:从知识体系到解题技巧

1. 高级数学知识模块

课程覆盖AMC12竞赛的四大核心领域:高等代数(多项式理论、递推关系)、几何(解析几何、立体几何、三角函数应用)、数论(模运算、质因数分解、同余方程)、微积分基础(导数的几何意义、极值问题)。每个模块均设置“基础概念—进阶拓展—竞赛应用”三级教学,例如在数论部分,除了讲解基本定理,还会结合AMC12常考的“数字和问题”“不定方程求解”等题型展开训练。

2. 题型解析与策略总结

针对AMC12的25道选择题,课程团队整理了“快速排除法”“特殊值代入法”“图形辅助法”等10余种解题策略。例如在几何题中,通过“构造辅助线”简化复杂图形;在代数题中,利用“对称性”减少计算量。每类题型均配备30-50道经典例题,教师会逐题拆解命题逻辑,帮助学生形成“看到题目—识别类型—调用方法”的条件反射。

3. 实战演练与个性化提升

课程设置每周一次全真模拟测试(75分钟限时),使用近五年AMC12真题及内部研发的高仿题。测试后,教师会通过“错题分类统计”分析学生的薄弱环节,例如“数论类错误率30%”或“时间分配失衡”,并针对性调整后续教学重点。同时,为每位学生建立学习档案,记录每阶段的进步数据,让备考过程可量化、可追踪。

教学优势:专业团队与资源支持

1. 竞赛经验丰富的教师团队

授课教师均为国内外知名高校数学系毕业,拥有5年以上AMC12竞赛辅导经验。其中,部分教师曾以参赛者身份获得全球前1%的成绩,熟悉竞赛命题趋势与学生常见误区。在课堂上,教师不仅传授知识,更会分享自身参赛经历,帮助学生建立“竞赛思维”——例如如何在紧张环境下保持冷静,如何通过题目选项反推解题方向。

2. 独家备考资源库

课程提供覆盖近20年的AMC12真题集(含详细解析)、高频考点手册(标注每类知识点的出现频率)、易错题型清单(整理学生最易失分的50类问题)。此外,团队每年会根据竞赛动态更新资料,例如2023年新增“人工智能与数学竞赛”专题,解析近年出现的跨学科融合题型。

3. 小班教学与个性化指导

课程采用8-12人小班制,确保教师能关注到每位学生的学习状态。课后设置1对1答疑环节,学生可随时向教师提问,内容涵盖具体题目解法、学习计划调整等。例如,针对基础较弱的学生,教师会额外补充“高中数学衔接内容”;针对目标冲击全球前5%的学生,则提供“AIME预备课程”作为延伸。

谁适合学习这门课程?

AMC12的参赛资格为12年级及以下高中生,但课程的适配性需结合学生的数学基础与竞赛目标综合判断。以下三类学生尤其适合:

  • 对数学有强烈兴趣,能独立完成高中数学课程(如函数、向量、概率),希望挑战高难度问题的高二、高三学生;
  • 已参加过AMC10竞赛并取得100分以上成绩(满分150),希望进阶AMC12以冲击更高荣誉的学员;
  • 目标申请海外高校(如MIT、斯坦福)或国内强基计划,需要通过竞赛成绩证明数学能力的学生。

即使学生尚未接触过竞赛,只要具备扎实的高中数学基础,通过课程的系统训练,也能逐步掌握竞赛所需的思维方法。

AMC12竞赛基础信息

参赛资格:12年级及以下高中生(无年龄限制);

考试时间:每年11月(具体日期以官方通知为准);

考试形式:75分钟完成25道选择题,每题5个选项,答错不扣分,未答得1.5分;

评分规则:每题6分(正确)+1.5分(未答)+0分(错误),满分150分;

奖项与晋级:全球前5%(约100分)可晋级AIME邀请赛,前1%(约120分)获“荣誉证书”。

需要注意的是,AMC12不允许使用计算器,因此学生需重点提升心算与逻辑推理能力。而格思国际教育的课程正是针对这一要求,通过大量无计算器环境下的训练,帮助学生适应考试规则。

上海格思国际教育松江校区

上海格思国际教育松江校区
认证 7 年

成立: 2006年

认证 地址认证 教学保障 在线预约 到店体验 售后支持
基本 文件 流程 错误 SQL 调试
  1. 请求信息 : 2026-04-05 17:50:43 HTTP/1.1 GET : http://www.aabrh.com/s/8760/c/109711.html
  2. 运行时间 : 0.052049s [ 吞吐率:19.21req/s ] 内存消耗:396.51kb 文件加载:136
  3. 缓存信息 : 0 reads,0 writes
  1. /data/web/baijiao_branch_collect/public/index.php ( 0.79 KB )
  2. /data/web/baijiao_branch_collect/vendor/autoload.php ( 0.75 KB )
  3. /data/web/baijiao_branch_collect/vendor/composer/autoload_real.php ( 1.63 KB )
  4. /data/web/baijiao_branch_collect/vendor/composer/platform_check.php ( 0.90 KB )
  5. /data/web/baijiao_branch_collect/vendor/composer/ClassLoader.php ( 15.99 KB )
  6. /data/web/baijiao_branch_collect/vendor/composer/autoload_static.php ( 4.26 KB )
  7. /data/web/baijiao_branch_collect/vendor/topthink/think-helper/src/helper.php ( 8.34 KB )
  8. /data/web/baijiao_branch_collect/vendor/topthink/think-validate/src/helper.php ( 2.19 KB )
  9. /data/web/baijiao_branch_collect/vendor/topthink/think-orm/src/helper.php ( 1.47 KB )
  10. /data/web/baijiao_branch_collect/vendor/topthink/think-orm/stubs/load_stubs.php ( 0.16 KB )
  11. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/Exception.php ( 1.69 KB )
  12. /data/web/baijiao_branch_collect/vendor/topthink/think-container/src/Facade.php ( 2.71 KB )
  13. /data/web/baijiao_branch_collect/vendor/symfony/deprecation-contracts/function.php ( 0.99 KB )
  14. /data/web/baijiao_branch_collect/vendor/symfony/polyfill-mbstring/bootstrap.php ( 8.26 KB )
  15. /data/web/baijiao_branch_collect/vendor/symfony/polyfill-mbstring/bootstrap80.php ( 9.78 KB )
  16. /data/web/baijiao_branch_collect/vendor/symfony/var-dumper/Resources/functions/dump.php ( 1.49 KB )
  17. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/App.php ( 15.30 KB )
  18. /data/web/baijiao_branch_collect/vendor/topthink/think-container/src/Container.php ( 15.76 KB )
  19. /data/web/baijiao_branch_collect/vendor/psr/container/src/ContainerInterface.php ( 1.02 KB )
  20. /data/web/baijiao_branch_collect/app/provider.php ( 0.19 KB )
  21. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/Http.php ( 6.04 KB )
  22. /data/web/baijiao_branch_collect/vendor/topthink/think-helper/src/helper/Str.php ( 7.29 KB )
  23. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/Env.php ( 4.68 KB )
  24. /data/web/baijiao_branch_collect/app/common.php ( 10.83 KB )
  25. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/helper.php ( 18.78 KB )
  26. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/Config.php ( 5.54 KB )
  27. /data/web/baijiao_branch_collect/config/app.php ( 1.29 KB )
  28. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/facade/Env.php ( 1.67 KB )
  29. /data/web/baijiao_branch_collect/config/cache.php ( 1.22 KB )
  30. /data/web/baijiao_branch_collect/config/config.php ( 0.26 KB )
  31. /data/web/baijiao_branch_collect/config/console.php ( 0.29 KB )
  32. /data/web/baijiao_branch_collect/config/cookie.php ( 0.56 KB )
  33. /data/web/baijiao_branch_collect/config/database.php ( 2.29 KB )
  34. /data/web/baijiao_branch_collect/config/filesystem.php ( 0.63 KB )
  35. /data/web/baijiao_branch_collect/config/lang.php ( 0.81 KB )
  36. /data/web/baijiao_branch_collect/config/log.php ( 1.37 KB )
  37. /data/web/baijiao_branch_collect/config/middleware.php ( 0.19 KB )
  38. /data/web/baijiao_branch_collect/config/route.php ( 1.54 KB )
  39. /data/web/baijiao_branch_collect/config/session.php ( 0.57 KB )
  40. /data/web/baijiao_branch_collect/config/trace.php ( 0.34 KB )
  41. /data/web/baijiao_branch_collect/config/view.php ( 0.81 KB )
  42. /data/web/baijiao_branch_collect/app/event.php ( 0.25 KB )
  43. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/Event.php ( 7.67 KB )
  44. /data/web/baijiao_branch_collect/app/service.php ( 0.13 KB )
  45. /data/web/baijiao_branch_collect/app/AppService.php ( 0.26 KB )
  46. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/Service.php ( 1.64 KB )
  47. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/Lang.php ( 7.35 KB )
  48. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/lang/zh-cn.php ( 13.70 KB )
  49. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/initializer/Error.php ( 3.31 KB )
  50. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/initializer/RegisterService.php ( 1.33 KB )
  51. /data/web/baijiao_branch_collect/vendor/services.php ( 0.14 KB )
  52. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/service/PaginatorService.php ( 1.52 KB )
  53. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/service/ValidateService.php ( 0.99 KB )
  54. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/service/ModelService.php ( 2.04 KB )
  55. /data/web/baijiao_branch_collect/vendor/topthink/think-trace/src/Service.php ( 0.77 KB )
  56. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/Middleware.php ( 6.72 KB )
  57. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/initializer/BootService.php ( 0.77 KB )
  58. /data/web/baijiao_branch_collect/vendor/topthink/think-orm/src/Paginator.php ( 11.86 KB )
  59. /data/web/baijiao_branch_collect/vendor/topthink/think-validate/src/Validate.php ( 63.20 KB )
  60. /data/web/baijiao_branch_collect/vendor/topthink/think-orm/src/Model.php ( 23.55 KB )
  61. /data/web/baijiao_branch_collect/vendor/topthink/think-orm/src/model/concern/Attribute.php ( 21.05 KB )
  62. /data/web/baijiao_branch_collect/vendor/topthink/think-orm/src/model/concern/AutoWriteData.php ( 4.20 KB )
  63. /data/web/baijiao_branch_collect/vendor/topthink/think-orm/src/model/concern/Conversion.php ( 6.75 KB )
  64. /data/web/baijiao_branch_collect/vendor/topthink/think-orm/src/model/concern/DbConnect.php ( 5.16 KB )
  65. /data/web/baijiao_branch_collect/vendor/topthink/think-orm/src/model/concern/ModelEvent.php ( 2.33 KB )
  66. /data/web/baijiao_branch_collect/vendor/topthink/think-orm/src/model/concern/RelationShip.php ( 28.30 KB )
  67. /data/web/baijiao_branch_collect/vendor/topthink/think-helper/src/contract/Arrayable.php ( 0.09 KB )
  68. /data/web/baijiao_branch_collect/vendor/topthink/think-helper/src/contract/Jsonable.php ( 0.13 KB )
  69. /data/web/baijiao_branch_collect/vendor/topthink/think-orm/src/model/contract/Modelable.php ( 0.09 KB )
  70. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/Db.php ( 2.88 KB )
  71. /data/web/baijiao_branch_collect/vendor/topthink/think-orm/src/DbManager.php ( 8.52 KB )
  72. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/Log.php ( 6.28 KB )
  73. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/Manager.php ( 3.92 KB )
  74. /data/web/baijiao_branch_collect/vendor/psr/log/src/LoggerTrait.php ( 2.69 KB )
  75. /data/web/baijiao_branch_collect/vendor/psr/log/src/LoggerInterface.php ( 2.71 KB )
  76. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/Cache.php ( 4.92 KB )
  77. /data/web/baijiao_branch_collect/vendor/psr/simple-cache/src/CacheInterface.php ( 4.71 KB )
  78. /data/web/baijiao_branch_collect/vendor/topthink/think-helper/src/helper/Arr.php ( 17.45 KB )
  79. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/cache/driver/Redis.php ( 6.94 KB )
  80. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/cache/Driver.php ( 9.03 KB )
  81. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/contract/CacheHandlerInterface.php ( 1.99 KB )
  82. /data/web/baijiao_branch_collect/app/Request.php ( 0.09 KB )
  83. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/Request.php ( 55.78 KB )
  84. /data/web/baijiao_branch_collect/app/middleware.php ( 0.26 KB )
  85. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/Pipeline.php ( 2.61 KB )
  86. /data/web/baijiao_branch_collect/vendor/topthink/think-trace/src/TraceDebug.php ( 3.40 KB )
  87. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/Route.php ( 23.73 KB )
  88. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/route/RuleName.php ( 5.75 KB )
  89. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/route/Domain.php ( 2.53 KB )
  90. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/route/RuleGroup.php ( 22.43 KB )
  91. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/route/Rule.php ( 26.95 KB )
  92. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/route/RuleItem.php ( 9.78 KB )
  93. /data/web/baijiao_branch_collect/route/app.php ( 3.05 KB )
  94. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/facade/Route.php ( 4.70 KB )
  95. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/route/dispatch/Controller.php ( 4.74 KB )
  96. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/route/Dispatch.php ( 10.44 KB )
  97. /data/web/baijiao_branch_collect/app/controller/Index.php ( 33.26 KB )
  98. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/facade/Request.php ( 9.20 KB )
  99. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/route/Url.php ( 14.07 KB )
  100. /data/web/baijiao_branch_collect/app/model/IndexModel.php ( 19.95 KB )
  101. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/facade/Config.php ( 1.37 KB )
  102. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/facade/Cache.php ( 2.06 KB )
  103. /data/web/baijiao_branch_collect/vendor/topthink/think-orm/src/facade/Db.php ( 0.93 KB )
  104. /data/web/baijiao_branch_collect/vendor/topthink/think-orm/src/db/connector/Mysql.php ( 5.73 KB )
  105. /data/web/baijiao_branch_collect/vendor/topthink/think-orm/src/db/PDOConnection.php ( 53.74 KB )
  106. /data/web/baijiao_branch_collect/vendor/topthink/think-orm/src/db/Connection.php ( 8.39 KB )
  107. /data/web/baijiao_branch_collect/vendor/topthink/think-orm/src/db/ConnectionInterface.php ( 4.57 KB )
  108. /data/web/baijiao_branch_collect/vendor/topthink/think-orm/src/db/builder/Mysql.php ( 16.58 KB )
  109. /data/web/baijiao_branch_collect/vendor/topthink/think-orm/src/db/Builder.php ( 24.07 KB )
  110. /data/web/baijiao_branch_collect/vendor/topthink/think-orm/src/db/BaseBuilder.php ( 27.50 KB )
  111. /data/web/baijiao_branch_collect/vendor/topthink/think-orm/src/db/Query.php ( 15.97 KB )
  112. /data/web/baijiao_branch_collect/vendor/topthink/think-orm/src/db/BaseQuery.php ( 45.13 KB )
  113. /data/web/baijiao_branch_collect/vendor/topthink/think-orm/src/db/concern/TimeFieldQuery.php ( 7.43 KB )
  114. /data/web/baijiao_branch_collect/vendor/topthink/think-orm/src/db/concern/AggregateQuery.php ( 3.26 KB )
  115. /data/web/baijiao_branch_collect/vendor/topthink/think-orm/src/db/concern/ModelRelationQuery.php ( 20.07 KB )
  116. /data/web/baijiao_branch_collect/vendor/topthink/think-orm/src/db/concern/ParamsBind.php ( 3.66 KB )
  117. /data/web/baijiao_branch_collect/vendor/topthink/think-orm/src/db/concern/ResultOperation.php ( 7.01 KB )
  118. /data/web/baijiao_branch_collect/vendor/topthink/think-orm/src/db/concern/WhereQuery.php ( 19.37 KB )
  119. /data/web/baijiao_branch_collect/vendor/topthink/think-orm/src/db/concern/JoinAndViewQuery.php ( 7.11 KB )
  120. /data/web/baijiao_branch_collect/vendor/topthink/think-orm/src/db/concern/TableFieldInfo.php ( 2.63 KB )
  121. /data/web/baijiao_branch_collect/vendor/topthink/think-orm/src/db/concern/Transaction.php ( 2.77 KB )
  122. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/log/driver/File.php ( 5.96 KB )
  123. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/contract/LogHandlerInterface.php ( 0.86 KB )
  124. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/log/Channel.php ( 3.89 KB )
  125. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/event/LogRecord.php ( 1.02 KB )
  126. /data/web/baijiao_branch_collect/vendor/topthink/think-helper/src/Collection.php ( 16.47 KB )
  127. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/Response.php ( 8.81 KB )
  128. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/response/View.php ( 3.29 KB )
  129. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/Cookie.php ( 6.06 KB )
  130. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/View.php ( 4.39 KB )
  131. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/view/driver/Php.php ( 6.44 KB )
  132. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/contract/TemplateHandlerInterface.php ( 1.60 KB )
  133. /data/web/baijiao_branch_collect/view/index/pc/school_course_details.php ( 6.12 KB )
  134. /data/web/baijiao_branch_collect/view/index/pc/school_top.php ( 5.76 KB )
  135. /data/web/baijiao_branch_collect/view/index/pc/school_bottom.php ( 1.16 KB )
  136. /data/web/baijiao_branch_collect/vendor/topthink/think-trace/src/Html.php ( 4.42 KB )
  1. CONNECT:[ UseTime:0.000338s ] mysql:host=127.0.0.1;port=3306;dbname=baijiao_branch_collect;charset=utf8
  2. SHOW FULL COLUMNS FROM `fqi_school` [ RunTime:0.001049s ]
  3. SELECT * FROM `fqi_school` WHERE `school_id` = '8760' AND `site_id` = 20 AND `school_status` = 1 LIMIT 1 [ RunTime:0.000257s ]
  4. SHOW FULL COLUMNS FROM `fqi_school_class` [ RunTime:0.000618s ]
  5. SELECT * FROM `fqi_school_class` WHERE `school_id` = 8760 [ RunTime:0.000239s ]
  6. SHOW FULL COLUMNS FROM `fqi_school_campus` [ RunTime:0.000642s ]
  7. SELECT * FROM `fqi_school_campus` WHERE `school_id` = 8760 [ RunTime:0.000226s ]
  8. SHOW FULL COLUMNS FROM `fqi_school_course` [ RunTime:0.000685s ]
  9. SELECT `a`.*,`content` FROM `fqi_school_course` `a` LEFT JOIN `fqi_school_course_content` `b` ON `b`.`content_id`=`a`.`content_id` WHERE `school_id` = 8760 AND `a`.`content_id` = '109711' AND `course_status` = 1 AND `school_status` = 1 LIMIT 1 [ RunTime:0.000564s ]
  10. (select content_id,course_name from fqi_school_course where school_id = '8760' and content_id < '109711' and site_id = '20' order by content_id desc limit 1) union all(select content_id,course_name from fqi_school_course where school_id = '8760' and content_id > '109711' and site_id <= '20' order by content_id asc limit 1) [ RunTime:0.000598s ]
  11. SELECT * FROM `fqi_school_course` WHERE `school_id` = 8760 AND `site_id` = 20 AND `course_status` = 1 AND `school_status` = 1 AND `school_class_id` = 26510 ORDER BY `course_id` DESC LIMIT 4 [ RunTime:0.000306s ]
  12. SELECT * FROM `fqi_school_course` WHERE `school_id` = 8760 AND `site_id` = 20 AND `course_status` = 1 AND `school_status` = 1 ORDER BY `course_id` DESC LIMIT 10 [ RunTime:0.000252s ]
  13. SELECT COUNT(*) AS think_count FROM `fqi_school_course` WHERE `school_id` = 8760 AND `course_status` = 1 [ RunTime:0.000175s ]
  14. SHOW FULL COLUMNS FROM `fqi_school_teacher` [ RunTime:0.000594s ]
  15. SELECT COUNT(*) AS think_count FROM `fqi_school_teacher` WHERE `school_id` = '8760' [ RunTime:0.000223s ]
  16. SHOW FULL COLUMNS FROM `fqi_school_comments` [ RunTime:0.000565s ]
  17. SELECT COUNT(*) AS think_count FROM `fqi_school_comments` WHERE `school_id` = '8760' [ RunTime:0.000173s ]
  18. SELECT `content_id`,`course_name`,`a`.`school_id`,`b`.`school_name` FROM `fqi_school_course` `a` LEFT JOIN `fqi_school` `b` ON `b`.`school_id`=`a`.`school_id` WHERE `a`.`site_id` = '20' AND `b`.`school_status` = '1' AND `course_status` = 1 AND `course_id` < '109711' ORDER BY `content_id` DESC LIMIT 20 [ RunTime:0.040968s ]
0.052363s