• 致力于为想要出国留学的学子定制个性化的背景提升方案
  • 为学员的留学背景能力提升保驾护航
  • 打造为学员提供丰富、专业、有价值内容的课外活动平台

400-882-5311

上海新航道DMM杜克大学数学竞赛项目深度解析:从赛事背景到备赛全流程

上海新航道DMM杜克大学数学竞赛项目深度解析:从赛事背景到备赛全流程

授课机构: 上海新航道背景提升

上课地点: 校区地址

成交/评价:

联系电话: 400-882-5311

上海新航道DMM杜克大学数学竞赛项目深度解析:从赛事背景到备赛全流程课程详情

DMM杜克大学数学竞赛的国际背景与核心价值

对数学领域有探索热情的中学生而言,参与高含金量的国际数学赛事是检验能力、拓展视野的重要途径。DMM杜克大学数学竞赛(Duke University Mathematics Meet)作为美国杜克大学数学系官方支持的年度中学生数学活动,自创办以来便以"学术性与实践性并重"的特色,成为全球数学爱好者的交流平台。区别于常规竞赛,DMM不仅考察数学知识储备,更注重团队协作、问题解决等综合能力的培养,这与杜克大学"培养全面发展的学术人才"的教育理念高度契合。

赛事由杜克大学数学联合会(Duke University Mathematics Union)直接运营,数学系教授团队参与命题与评审,确保竞赛内容既符合中学生知识水平,又具备一定挑战性。其奖项不仅是对个人数学能力的认可,更被美国多所高校视为申请者学术潜力的重要参考——这也是为何越来越多国内中学生将DMM作为背景提升关键项目的核心原因。

上海新航道DMM项目的四大核心优势

上海新航道背景提升针对国内中学生需求,推出DMM杜克大学数学竞赛专项课程,从赛事规则解读到备赛策略制定,构建起完整的支持体系。以下从四个维度解析项目独特价值:

1. 杜克官方赛事资源的直接对接

区别于普通竞赛培训,项目团队与杜克大学数学联合会建立长期合作,能够时间获取赛事动态、往届真题解析及命题趋势分析。学员不仅能接触到原汁原味的赛事资料,更可通过官方渠道完成报名、成绩查询等流程,确保参与过程的权威性与透明度。

2. 逻辑思维与团队协作的双重培养

课程设置紧扣DMM竞赛特色,除基础数学知识巩固外,特别设计"问题拆解训练""团队解题工作坊"等模块。例如在团队赛环节,学员需在限定时间内通过分工讨论完成复杂数学问题,导师会针对沟通效率、思路整合等维度进行针对性指导,帮助学生将个人能力转化为团队竞争力。

3. 招生官互动与名校体验的深度链接

项目特别设置"杜克招生视角"系列讲座,邀请杜克大学本科招生办公室工作人员分享录取偏好与背景评估标准。学员不仅能了解"竞赛成绩如何转化为申请优势",更有机会参与杜克本科通识课程体验活动——通过线上旁听微积分、数学史等经典课程,提前感受美国高校的学术氛围。

4. 专家团队研发的系统性备赛教材

由国内竞赛数学与杜克大学数学系博士组成的教研团队,结合历年DMM竞赛真题与国内中学生知识结构,编写《DMM竞赛核心知识点手册》《团队赛策略指南》等专属教材。教材中不仅包含代数、几何、数论等核心模块的深度解析,更融入"时间管理""错题复盘"等实用备赛技巧,帮助学员实现高效提升。

线上+双师指导模式的具体实施细节

考虑到中学生时间安排与学习场景的多样性,项目采用"线上为主、灵活互动"的指导模式,具体包含以下环节:

【直播授课】每周固定时间开展专题讲解,导师通过屏幕共享演示解题过程,实时解答学员疑问;

【助教伴学】每5-8名学员配备1名助教,负责作业批改、阶段性测试反馈及日常学习督促;

【模拟竞赛】每月组织1次全真模拟赛,完全复刻DMM竞赛规则与时间限制,赛后生成包含知识点薄弱项、团队协作指数的多维分析报告;

【个性化辅导】针对进步较慢或目标明确的学员,提供1对1加练机会,重点突破几何证明、组合数学等难点模块。

这种"主讲导师+专属助教"的双师模式,既了知识传递的专业性,又实现了学习过程的精准跟踪。从过往学员数据看,参与完整课程体系的学生中,85%能在首次参赛中达到前30%的成绩,其中20%进入全球前10%的优秀行列。

选择DMM竞赛的长远意义:能力与背景的双重提升

对于中学生而言,参与DMM杜克大学数学竞赛的价值远不止于一张获奖证书。通过备赛过程中的系统训练,学生的逻辑推理能力、跨学科应用思维会得到显著提升——这些能力不仅对数学学习有帮助,更能迁移到物理、计算机等理工科领域的学习中。

从升学角度看,杜克大学作为全美Top10的学府,其官方赛事的参与经历本身就是一份高含金量的背景素材。在申请文书中,学员可以结合备赛故事、团队合作经历等细节,生动展现自己的学术热情与综合素养,这对申请美国、英国等国家的高校都具有重要的加分作用。

上海新航道DMM杜克大学数学竞赛项目,正是基于对国际赛事价值的深度理解与国内中学生需求的精准把握而设计。无论是希望在数学领域深入探索的"小数学家",还是计划通过背景提升冲刺名校的申请者,都能在这里找到适合自己的成长路径。

上海新航道背景提升

上海新航道背景提升
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 : 2026-04-09 19:52:14 HTTP/1.1 GET : http://www.edumq.com/s/5638/c/79117.html
  2. 运行时间 : 0.066071s [ 吞吐率:15.14req/s ] 内存消耗:399.38kb 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:0.000343s ] mysql:host=127.0.0.1;port=3306;dbname=baijiao_branch_collect;charset=utf8
  2. SHOW FULL COLUMNS FROM `fqi_school` [ RunTime:0.001133s ]
  3. SELECT * FROM `fqi_school` WHERE `school_id` = '5638' AND `site_id` = 11 AND `school_status` = 1 LIMIT 1 [ RunTime:0.000315s ]
  4. SHOW FULL COLUMNS FROM `fqi_school_class` [ RunTime:0.000627s ]
  5. SELECT * FROM `fqi_school_class` WHERE `school_id` = 5638 [ RunTime:0.000237s ]
  6. SHOW FULL COLUMNS FROM `fqi_school_campus` [ RunTime:0.000604s ]
  7. SELECT * FROM `fqi_school_campus` WHERE `school_id` = 5638 [ RunTime:0.000381s ]
  8. SHOW FULL COLUMNS FROM `fqi_school_course` [ RunTime:0.000675s ]
  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` = 5638 AND `a`.`content_id` = '79117' AND `course_status` = 1 AND `school_status` = 1 LIMIT 1 [ RunTime:0.000442s ]
  10. (select content_id,course_name from fqi_school_course where school_id = '5638' and content_id < '79117' and site_id = '11' order by content_id desc limit 1) union all(select content_id,course_name from fqi_school_course where school_id = '5638' and content_id > '79117' and site_id <= '11' order by content_id asc limit 1) [ RunTime:0.001783s ]
  11. SELECT * FROM `fqi_school_course` WHERE `school_id` = 5638 AND `site_id` = 11 AND `course_status` = 1 AND `school_status` = 1 AND `school_class_id` = 19917 ORDER BY `course_id` DESC LIMIT 4 [ RunTime:0.000411s ]
  12. SELECT * FROM `fqi_school_course` WHERE `school_id` = 5638 AND `site_id` = 11 AND `course_status` = 1 AND `school_status` = 1 ORDER BY `course_id` DESC LIMIT 10 [ RunTime:0.000254s ]
  13. SELECT COUNT(*) AS think_count FROM `fqi_school_course` WHERE `school_id` = 5638 AND `course_status` = 1 [ RunTime:0.000186s ]
  14. SHOW FULL COLUMNS FROM `fqi_school_teacher` [ RunTime:0.000700s ]
  15. SELECT COUNT(*) AS think_count FROM `fqi_school_teacher` WHERE `school_id` = '5638' [ RunTime:0.000234s ]
  16. SHOW FULL COLUMNS FROM `fqi_school_comments` [ RunTime:0.000587s ]
  17. SELECT COUNT(*) AS think_count FROM `fqi_school_comments` WHERE `school_id` = '5638' [ RunTime:0.000211s ]
  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` = '11' AND `b`.`school_status` = '1' AND `course_status` = 1 AND `course_id` < '79117' ORDER BY `content_id` DESC LIMIT 20 [ RunTime:0.053206s ]
0.066424s