• 武汉翰林教育学院为广大学员家长提供一对一等多种线上线下的教辅
  • 武汉翰林教育为广大学员家长提供高端本科研究生申请及咨询
  • 武汉翰林教育拥有业内稀缺的竞赛资料和课程真题等珍贵的学术资源

400-060-0105

武汉翰林教育IMMC/IM2C国际建模挑战赛辅导全解析:从备赛到晋级指南

武汉翰林教育IMMC/IM2C国际建模挑战赛辅导全解析:从备赛到晋级指南

授课机构: 武汉翰林教育学院

上课地点: 校区地址

成交/评价:

联系电话: 400-060-0105

武汉翰林教育IMMC/IM2C国际建模挑战赛辅导全解析:从备赛到晋级指南课程详情

IMMC/IM2C国际建模挑战赛的核心价值与辅导意义

数学建模能力已成为当代中学生核心素养的重要组成部分。作为2014年由美国波士顿发起的国际性赛事,IMMC/IM2C国际数学建模挑战赛(International Mathematical Modeling Challenge)通过"现实问题解决"的竞赛形式,将数学理论与科技应用深度融合,不仅是检验学生综合能力的平台,更成为名校申请的重要加分项。武汉翰林教育针对这一赛事开设的辅导培训班,正是为了帮助中学生更高效地理解竞赛逻辑、掌握建模方法,在有限时间内提升备赛效率。

区别于传统数学竞赛,IMMC的独特性在于其"灵活参赛机制"与"高含金量认可"。参赛者可通过秋季赛或冬季赛两个赛季选择参赛,以成绩晋级国际环节;而其由COMAP美国数学及其应用联合会与香港儒莲教科文机构联合举办的背景,更赋予奖项国际权威性。对于中学生而言,参与IMMC不仅能强化数学建模、编程应用等硬实力,更能培养团队协作、问题分析等软实力,这正是武汉翰林教育辅导的核心目标——让学生在备赛过程中实现能力与成绩的双重提升。

IMMC/IM2C竞赛全流程深度解析

要在IMMC中取得优异成绩,首先需清晰了解竞赛晋级路径。整个赛事分为中华区域选拔赛与国际赛两大阶段,具体流程如下:

1. 中华区域选拔赛:双赛季灵活参赛

所有来自中国大陆、台湾、香港及澳门的参赛团队,需先通过中华区域选拔赛。考虑到不同地区校历差异,赛事设置秋季赛与冬季赛两个赛季,团队可自主选择参加一个或两个赛季,以成绩参与中国区总评选并晋级国际赛。这一机制为学生提供了更充裕的备赛调整空间,也降低了因单次发挥失常导致的晋级风险。

2. 国际赛:120小时限时论文挑战

晋级国际赛的团队需在每年3月左右的连续120小时内,完成组委会指定问题的数学建模论文。这一环节考验的不仅是模型构建能力,更包括时间管理与团队协作效率。武汉翰林教育辅导中会重点训练学生的"限时任务分解"能力,帮助团队在4天内有序完成模型设计、数据验证与论文撰写。

3. 国际赛答辩与评审:成果展示与学术交流

每年4月进行国际赛答辩,中华区域决赛与国际赛程决赛团队将分开评审。特等奖论文有机会获得发表,这对学生学术背景的提升具有重要意义。6月的国际评审环节中,各国/地区推选的论文将角逐特等奖、一/二等奖及成功参赛奖,最终结果将通知辅导老师及参赛团队。

IMMC/IM2C竞赛规则与论文写作要点

竞赛规则的精准把握是备赛关键。IMMC竞赛形式分为命题论文与自主选题论文两类,两类作品分开评审,但成绩前20%的团队均可自动晋级国际赛程。

命题论文:96小时限时创作

命题论文需在赛季规定日期内的连续96小时内完成并提交。赛题可于赛前通过官网下载,允许使用数据、软件、参考书等非人际资源(需标明来源)。值得注意的是,即使未完全解决问题,只要展示出清晰的解决思路与方法,仍可参与评审——这意味着"过程性展示"与"结果正确性"同等重要。

自主选题:现实问题的深度挖掘

自主选题要求聚焦现实世界问题,不限定开始时间但需在赛季截止前提交。这类题目更考验团队的"问题发现能力",武汉翰林教育辅导中会引导学生从社会热点(如教育公平、环境保护)、科技前沿(如人工智能应用)等方向切入,确保选题兼具现实意义与学术价值。

论文规范:细节决定成败

论文格式有严格要求:首页必须为摘要页(需清晰阐明方法与核心结论),除附录与参考文献外不超过21页;每页需标注团队控制号码(如"IMMC202X0001号队伍总18页之第8页");不可包含程序、光盘等附加材料;国际评审环节需提交英文版本(中文版提交后不可修改内容)。武汉翰林教育会提供历届优秀论文模板,并针对格式要求进行专项训练,避免因细节失误影响成绩。

IMMC/IM2C备赛策略与团队组建建议

备赛阶段的关键在于"能力互补的团队组建"与"针对性技能提升"。武汉翰林教育根据历年辅导经验,总结出以下核心策略:

团队角色分工:数学、编程、写作缺一不可

IMMC以2-4人团队形式参赛,建议选择"数学建模+编程实现+论文写作"的角色组合。数学能力突出的成员负责模型构建与算法设计,编程熟练者(掌握MATLAB、SPSS等工具)负责数据验证与模拟,写作能力强的成员则专注论文结构梳理与语言优化。武汉翰林教育辅导中会通过模拟赛帮助团队磨合,明确各自职责边界。

技能提升重点:工具使用与模型积累

- 论文撰写:熟练使用MATHTYPE等数学符号编辑工具,学习优秀论文的逻辑框架(问题分析→模型假设→建立与求解→结果验证→结论);
- 建模能力:掌握线性回归、层次分析、优化模型等基础模型,熟悉"从问题到模型"的转换思路;
- 编程应用:MATLAB的画图、矩阵运算功能需重点掌握,SPSS可辅助统计分析,大数据优化问题可尝试C语言提升效率。

历年赛题分析:两类题型的应对方法

IMMC赛题主要分为两类:一类是背景简单但数据缺失的开放性问题(如"教育与经济关系研究"),需团队自主收集数据并建立变量关联;另一类是背景详细且提供部分数据的针对性问题(如"基于天文物理的地球坐标估算"),需结合专业知识进行模型推导。武汉翰林教育会整理近5年赛题库,通过"案例拆解+模拟训练"帮助学生掌握不同题型的解题逻辑。

武汉翰林教育辅导项目具体要求

为确保辅导效果,武汉翰林教育IMMC/IM2C辅导培训班设置以下参与要求:

1. 参赛资格与团队构成

仅限在校中学生报名,每队由同校2-4人组成,需配备至少一名本校指导老师(需在控制表中签字确认)。

2. 费用说明

- 基本费用:55美元/团队(含中国区域赛、国际赛费用,晋级团队无需额外缴纳国际赛报名费);
- 论文评审报告:需获取报告的团队另缴50美元。

3. 报名与材料提交

需在官网注册账户并完成报名(中国大陆赛区报名网址可通过武汉翰林教育获取)。提交材料包括:PDF/照片格式的控制表(含指导老师及成员签字)、PDF/Word格式的论文(不超过17MB,隐去成员、学校等信息)。

4. 答辩环节注意事项

入选国际赛答辩的团队需自行承担前往香港的交通与食宿费用。武汉翰林教育将提供答辩技巧培训,包括PPT制作、问题应答等环节,帮助团队自信展示研究成果。

武汉翰林教育学院

武汉翰林教育学院
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 : 2026-04-04 13:31:57 HTTP/1.1 GET : http://www.aabqu.com/s/3112/c/45411.html
  2. 运行时间 : 0.096734s [ 吞吐率:10.34req/s ] 内存消耗:395.20kb 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:0.000316s ] mysql:host=127.0.0.1;port=3306;dbname=baijiao_branch_collect;charset=utf8
  2. SHOW FULL COLUMNS FROM `fqi_school` [ RunTime:0.001081s ]
  3. SELECT * FROM `fqi_school` WHERE `school_id` = '3112' AND `site_id` = 15 AND `school_status` = 1 LIMIT 1 [ RunTime:0.000311s ]
  4. SHOW FULL COLUMNS FROM `fqi_school_class` [ RunTime:0.001032s ]
  5. SELECT * FROM `fqi_school_class` WHERE `school_id` = 3112 [ RunTime:0.000247s ]
  6. SHOW FULL COLUMNS FROM `fqi_school_campus` [ RunTime:0.000785s ]
  7. SELECT * FROM `fqi_school_campus` WHERE `school_id` = 3112 [ RunTime:0.000223s ]
  8. SHOW FULL COLUMNS FROM `fqi_school_course` [ RunTime:0.000962s ]
  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` = 3112 AND `a`.`content_id` = '45411' AND `course_status` = 1 AND `school_status` = 1 LIMIT 1 [ RunTime:0.000655s ]
  10. (select content_id,course_name from fqi_school_course where school_id = '3112' and content_id < '45411' and site_id = '15' order by content_id desc limit 1) union all(select content_id,course_name from fqi_school_course where school_id = '3112' and content_id > '45411' and site_id <= '15' order by content_id asc limit 1) [ RunTime:0.001916s ]
  11. SELECT * FROM `fqi_school_course` WHERE `school_id` = 3112 AND `site_id` = 15 AND `course_status` = 1 AND `school_status` = 1 AND `school_class_id` = 11724 ORDER BY `course_id` DESC LIMIT 4 [ RunTime:0.000545s ]
  12. SELECT * FROM `fqi_school_course` WHERE `school_id` = 3112 AND `site_id` = 15 AND `course_status` = 1 AND `school_status` = 1 ORDER BY `course_id` DESC LIMIT 10 [ RunTime:0.001157s ]
  13. SELECT COUNT(*) AS think_count FROM `fqi_school_course` WHERE `school_id` = 3112 AND `course_status` = 1 [ RunTime:0.000343s ]
  14. SHOW FULL COLUMNS FROM `fqi_school_teacher` [ RunTime:0.000883s ]
  15. SELECT COUNT(*) AS think_count FROM `fqi_school_teacher` WHERE `school_id` = '3112' [ RunTime:0.000230s ]
  16. SHOW FULL COLUMNS FROM `fqi_school_comments` [ RunTime:0.000738s ]
  17. SELECT COUNT(*) AS think_count FROM `fqi_school_comments` WHERE `school_id` = '3112' [ RunTime:0.000210s ]
  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` = '15' AND `b`.`school_status` = '1' AND `course_status` = 1 AND `course_id` < '45411' ORDER BY `content_id` DESC LIMIT 20 [ RunTime:0.080310s ]
0.097055s