• 保录取结果——方案
  • 保学习体验——教师
  • 保适合方案——规划

400-018-6228

HiMCM美国高中数学建模竞赛全解析:从参赛规则到学术价值深度指南

HiMCM美国高中数学建模竞赛全解析:从参赛规则到学术价值深度指南

授课机构: 天津英思德国际教育

上课地点: 校区地址

成交/评价:

联系电话: 400-018-6228

HiMCM美国高中数学建模竞赛全解析:从参赛规则到学术价值深度指南课程详情

HiMCM美国高中数学建模竞赛深度解读:从入门到进阶的全流程指南

一、HiMCM竞赛的核心背景与定位

提到国际高中生数学竞赛,HiMCM(High School Mathematical Contest in Modeling)是绕不开的重要平台。这项由美国数学及其应用联合会(COMAP)主办的非营利性赛事,自1999年创立以来,已发展为全球超50个国家、数千支队伍参与的学术竞赛。其赛制设计借鉴了美国大学生数学建模竞赛的成熟经验,但更贴合中学生的认知特点——以2-4人团队协作的形式,要求在限定时间内完成从问题分析、模型构建到论文撰写的全流程,重点锤炼参赛者的实际问题解决能力与学术表达技巧。

与传统数学竞赛不同,HiMCM不局限于公式推导或解题速度,而是强调“用数学工具解决现实问题”的实践能力。例如,往届题目曾涉及城市交通规划、环境保护策略、公共卫生政策等真实场景,要求学生将数学知识与跨学科思维结合,提出可验证的解决方案。这种“从理论到应用”的转变,正是其被全球名校看重的关键原因。

二、HiMCM参赛规则详解:从组队到交卷的全流程

想要参与HiMCM,首先需明确基础参赛要求。队伍由2-4名同校在校高中生组成,每队需配备一名指导老师(可由校内数学教师或竞赛教练担任)。竞赛题目为两道源于现实世界的实际问题,例如“如何优化社区疫苗接种点布局”或“预测某地区新能源汽车普及趋势”,队伍可根据兴趣与擅长领域任选其一。

比赛时间方面,自2019年起,赛事将原有的10天限制延长至13天,为学生留出更充裕的思考与修改时间。值得注意的是,竞赛期间允许使用教材、计算器、数学软件(如Matlab、Python)及网络资源,但严格禁止与队外人员(包括指导老师)进行任何形式的讨论。所有沟通必须在队内完成,这一规则旨在确保成果的原创性。

完成建模后,队伍需通过COMAP指定平台提交论文。论文内容需包含问题重述、模型假设、变量定义、求解过程、结果分析及结论讨论等部分,学术规范性要求与大学论文相近。评审环节由COMAP组织全球数学、应用科学领域的专家进行双盲评审,确保评分的公平性。

三、HiMCM奖项体系:分层荣誉与学术价值

HiMCM的奖项设置以严格的评审标准为基础,荣誉含金量与获奖难度直接相关。具体奖项分布如下:

  • 特等奖(Outstanding Winner):仅占参赛队伍总数的1%以内,是赛事最高荣誉。获奖论文需在问题分析深度、模型创新性、结果合理性及写作规范度上全面领先。
  • 决赛入围奖(Finalist):约7%的队伍可获此荣誉,论文需展现清晰的逻辑框架与扎实的数学应用能力,是冲击特等奖的“预备梯队”。
  • 一等奖(Meritorious):覆盖约12%的参赛团队,论文在关键环节(如模型构建或结果验证)表现突出,具备较强的学术参考价值。
  • 二等奖(Honorable Mentioned):约31%的队伍获得,论文达到基本要求,能完整呈现问题解决过程。
  • 参与奖(Successful Participate):所有完成论文提交的队伍均可获得,肯定学生的全程投入与实践精神。

需特别说明的是,自2017年起,原有的“决赛奖(National Finalist)”已正式取消,当前奖项体系更聚焦于论文质量的直接评估,减少了冗余环节。

四、为什么选择HiMCM?从升学助力到能力培养的双重价值

对于高中生而言,HiMCM的吸引力不仅在于国际赛事的光环,更在于其对个人成长的多维推动:

1. 升学竞争的“硬通货”:作为美本申请中含金量最高的学术竞赛之一,HiMCM成绩被哈佛、斯坦福、麻省理工等高校纳入招生评估体系。尤其是特等奖、决赛入围奖等高级别荣誉,能直观展现学生的逻辑思维、跨学科能力与学术潜力,在申请文书中具有极强的说服力。此外,香港大学、新加坡国立大学等亚洲名校也将其视为重要参考,为学生提供更广阔的升学选择。

2. 学术能力的“系统训练”:备赛过程涵盖问题拆解、数据收集、模型构建、编程计算到论文撰写的全流程,每一步都需要团队成员分工协作。例如,数学基础扎实的学生负责模型设计,计算机能力强的学生处理数据运算,英语优秀的学生主导论文写作——这种“角色分工+协同攻关”的模式,能有效提升学生的团队管理能力与责任意识。同时,对现实问题的深入分析,还能培养学生“用数学眼光观察世界”的思维习惯,为大学阶段的专业学习(如数学、工程、经济学)奠定坚实基础。

3. 综合素养的“全面提升”:HiMCM要求论文用英文撰写,且需符合学术规范,这对学生的英语表达(尤其是专业术语使用)与逻辑写作能力提出了高要求。此外,竞赛涉及数学、统计学、计算机科学、社会科学等多领域知识,能帮助学生打破学科壁垒,建立跨学科思维。许多参赛学生反馈,通过备赛,他们不仅明确了未来的专业方向(如选择应用数学或数据科学),更掌握了自主研究的方法,这些能力将终身受益。

五、给参赛新手的建议:如何高效备赛HiMCM?

对于首次接触数学建模的学生,建议从以下三方面入手:

1. 夯实基础:掌握核心工具与方法。提前学习概率论、统计学、微分方程等基础数学知识,熟悉Matlab、Python等数据分析软件的基本操作。同时,阅读往届优秀论文(可在COMAP官网获取),学习如何构建模型框架与组织学术语言。

2. 团队磨合:明确分工与沟通机制。组队时需考虑成员的能力互补性(如数学、编程、写作特长),并提前制定备赛计划(如每周固定时间讨论、定期模拟练习)。良好的沟通能避免“各自为战”,提升整体效率。

3. 关注现实:积累问题分析经验。日常可关注社会热点(如气候变化、公共健康),尝试用数学思维分析现象(例如用回归模型预测某商品销量)。这种“从观察到建模”的练习,能有效提升对实际问题的敏感度。

总之,HiMCM不仅是一场竞赛,更是一次与全球优秀学子同台竞技、与现实问题深度对话的机会。无论是为了升学加分,还是为了提升综合能力,参与HiMCM都将成为高中生学术成长路上的重要里程碑。

天津英思德国际教育

天津英思德国际教育
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 : 2026-04-03 22:28:24 HTTP/1.1 GET : http://www.aabqj.com/s/5598/c/78651.html
  2. 运行时间 : 0.050022s [ 吞吐率:19.99req/s ] 内存消耗:390.40kb 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:0.000368s ] mysql:host=127.0.0.1;port=3306;dbname=baijiao_branch_collect;charset=utf8
  2. SHOW FULL COLUMNS FROM `fqi_school` [ RunTime:0.001016s ]
  3. SELECT * FROM `fqi_school` WHERE `school_id` = '5598' AND `site_id` = 17 AND `school_status` = 1 LIMIT 1 [ RunTime:0.000256s ]
  4. SHOW FULL COLUMNS FROM `fqi_school_class` [ RunTime:0.000612s ]
  5. SELECT * FROM `fqi_school_class` WHERE `school_id` = 5598 [ RunTime:0.000261s ]
  6. SHOW FULL COLUMNS FROM `fqi_school_campus` [ RunTime:0.000615s ]
  7. SELECT * FROM `fqi_school_campus` WHERE `school_id` = 5598 [ RunTime:0.000274s ]
  8. SHOW FULL COLUMNS FROM `fqi_school_course` [ RunTime:0.000656s ]
  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` = 5598 AND `a`.`content_id` = '78651' AND `course_status` = 1 AND `school_status` = 1 LIMIT 1 [ RunTime:0.000642s ]
  10. (select content_id,course_name from fqi_school_course where school_id = '5598' and content_id < '78651' and site_id = '17' order by content_id desc limit 1) union all(select content_id,course_name from fqi_school_course where school_id = '5598' and content_id > '78651' and site_id <= '17' order by content_id asc limit 1) [ RunTime:0.001781s ]
  11. SELECT * FROM `fqi_school_course` WHERE `school_id` = 5598 AND `site_id` = 17 AND `course_status` = 1 AND `school_status` = 1 AND `school_class_id` = 19785 ORDER BY `course_id` DESC LIMIT 4 [ RunTime:0.000416s ]
  12. SELECT * FROM `fqi_school_course` WHERE `school_id` = 5598 AND `site_id` = 17 AND `course_status` = 1 AND `school_status` = 1 ORDER BY `course_id` DESC LIMIT 10 [ RunTime:0.000293s ]
  13. SELECT COUNT(*) AS think_count FROM `fqi_school_course` WHERE `school_id` = 5598 AND `course_status` = 1 [ RunTime:0.000179s ]
  14. SHOW FULL COLUMNS FROM `fqi_school_teacher` [ RunTime:0.000669s ]
  15. SELECT COUNT(*) AS think_count FROM `fqi_school_teacher` WHERE `school_id` = '5598' [ RunTime:0.000226s ]
  16. SHOW FULL COLUMNS FROM `fqi_school_comments` [ RunTime:0.000595s ]
  17. SELECT COUNT(*) AS think_count FROM `fqi_school_comments` WHERE `school_id` = '5598' [ RunTime:0.000216s ]
  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` = '17' AND `b`.`school_status` = '1' AND `course_status` = 1 AND `course_id` < '78651' ORDER BY `content_id` DESC LIMIT 20 [ RunTime:0.037348s ]
0.050401s