• 秉承“业精于勤荒于嬉,行成于思毁于随”的办学精神
  • 促进中国高等商科教育发展, 加快商科教育发展步伐
  • 探索商科教育创新发展模式, 打造体系化商科教学

400-663-3380

MBA数学高效备考全流程:从概念吃透到实战提分的进阶指南

来源:苏州万通教育 时间:07-23

MBA数学高效备考全流程:从概念吃透到实战提分的进阶指南

MBA数学高效备考全流程:从概念吃透到实战提分的进阶指南

一、概念夯实:MBA数学复习的根基所在

在MBA数学备考中,基础概念的理解程度往往决定了后续学习的上限。许多考生在复习初期容易陷入"急功近利"的误区——跳过概念梳理直接刷题,最终导致"一看就会,一做就错"的尴尬局面。事实上,数学概念是所有公式推导、题型解答的底层逻辑,就像建造房屋的地基,若根基不牢,再复杂的上层建筑都会摇摇欲坠。

对于基础薄弱的考生,建议采用"三维理解法":首先精读教材中的概念定义,标注关键限定词(如"非负实数""连续可导"等);其次寻找生活中的对应案例(例如用"银行利率计算"理解复利公式);最后通过反向验证巩固——假设概念中的某个条件不成立,推导会出现什么矛盾。以"函数连续性"为例,不仅要记住"极限值等于函数值"的定义,更要能举出"可去间断点""跳跃间断点"的具体函数例子,真正做到"知其然更知其所以然"。

值得注意的是,MBA数学涉及的定理公式虽多,但多数存在内在关联。例如"中值定理"体系中,罗尔定理是拉格朗日定理的特殊情况,柯西定理又是拉格朗日定理的推广。考生可通过绘制"概念关系图",用箭头标注定理之间的推导逻辑,这种可视化的梳理方式能显著提升概念记忆的深度和广度。

二、做题训练:从量变到质变的关键路径

完成概念储备后,习题训练是检验学习效果、提升解题能力的必经之路。但"盲目刷题"与"高效做题"存在本质区别——前者追求数量,后者注重质量。根据多年教学观察,高效做题需把握三个核心环节:

1. 分阶训练,循序渐进:建议将习题分为"基础巩固""能力提升""综合突破"三个阶段。基础阶段选择教材例题及课后习题,重点练习概念直接应用(如用导数定义求某点切线方程);能力阶段选取历年真题中的中等难度题,训练知识点交叉运用(如结合不等式证明与函数极值求解);综合阶段则需模拟考场环境,限时完成套题训练,提升时间管理能力。

2. 拒绝"眼高手低",落实完整推导:部分考生习惯"看题想思路"而不实际书写,这种做法极易导致"计算漏分"。数学考试中,步骤分占比通常超过50%,且计算过程能暴露概念理解的细节问题。例如在求解线性方程组时,仅在脑海中推导可能忽略"增广矩阵秩的判定",而实际书写会迫使考生严格执行每一步运算,避免低级错误。

3. 错题管理,精准突破:建立专属错题本时,需记录"题目内容+错误原因+正确思路+同类题拓展"。错误原因要具体到知识点(如"误用洛必达法则条件"而非笼统写"计算错误"),正确思路需用不同颜色笔标注关键步骤。定期(建议每周)重做错题本中的题目,当同一类错误连续三次不再出现时,方可将该题移出重点关注范围。

三、深度思考:突破备考瓶颈的核心能力

当复习进入中期,许多考生会遇到"分数停滞不前"的瓶颈期。此时,深度思考能力的培养成为破局关键。这里的"思考"并非简单的"想问题",而是包含三个维度的主动思维训练:

1. 概念关联性思考:例如学习"概率统计"时,可思考"排列组合"与"古典概型"的联系——前者是计算可能事件数的工具,后者是应用场景。再如"向量空间"与"线性方程组解的结构",前者为后者提供理论支撑,后者是前者的具体应用。这种跨章节的关联性思考,能帮助考生构建完整的知识网络。

2. 解题策略反思:每完成一道题,需反问自己:"这道题的突破口是什么?""有没有更简便的解法?""如果改变题设条件,解法会如何调整?"以"二次函数最值问题"为例,常规解法是求导或配方法,但若题目隐含定义域限制,可能需要结合图像分析。通过这种反思,考生能从"会解一道题"升级为"会解一类题"。

3. 薄弱点精准定位:定期进行自我检测(建议每两周一次),使用空白试卷独立完成后,统计各章节得分率。例如"微积分"得分75%,"线性代数"得分60%,"概率论"得分85%,则需将"线性代数"作为下一阶段的重点突破对象。这种数据化的分析方式,比主观感觉更能准确识别复习短板。

四、总结复盘:构建知识体系的重要环节

复习的最终目标是将零散的知识点转化为系统的知识体系,而总结复盘正是实现这一目标的关键动作。有效的总结需注意以下要点:

1. 分章节总结:每完成一个章节的复习,用A4纸绘制"知识图谱",核心概念用椭圆标注,公式定理用方框表示,关联关系用箭头连接。例如"一元函数微积分"章节,可从"导数定义"出发,延伸出"导数计算法则""微分中值定理""导数应用"等分支,每个分支下再细分具体知识点。

2. 跨模块整合:MBA数学考试注重知识点的综合应用,因此需定期进行跨模块总结。例如"函数极值问题"可能涉及"导数计算(微积分)""不等式证明(代数)""几何意义(解析几何)"等多个模块,通过整合这些关联点,考生能更从容地应对综合题型。

3. 动态更新机制:总结不是一次性工作,需根据复习进度不断补充完善。初期总结侧重基础概念,中期加入题型解法,后期则需标注高频考点(如近五年真题中出现超过3次的知识点)和易错点(如"无穷小阶的比较"中常见的等价替换错误)。这种动态调整的总结方式,能始终与复习节奏保持同步。

结语:数学复习的本质是思维升级

MBA数学复习的过程,本质上是数学思维的培养与升级过程。从概念的深度理解到习题的精准训练,从解题思路的反思到知识体系的构建,每一个环节都在重塑考生的思维模式。只要坚持"夯实基础、高效做题、深度思考、科学总结"的复习路径,就能逐步突破备考瓶颈,在考试中取得理想成绩。记住,数学不是冰冷的公式堆砌,而是训练逻辑思维的工具——当你真正掌握这种思维方式,获得的不仅是考试分数,更是终身受益的能力提升。

课程导航
校区导航
基本 文件 流程 错误 SQL 调试
  1. 请求信息 : 2026-04-04 08:52:11 HTTP/1.1 GET : http://www.edudw.com/s/3777/n/22901.html
  2. 运行时间 : 0.019979s [ 吞吐率:50.05req/s ] 内存消耗:394.51kb 文件加载:137
  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_news_details.php ( 2.39 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_right.php ( 2.17 KB )
  136. /data/web/baijiao_branch_collect/view/index/pc/school_bottom.php ( 1.16 KB )
  137. /data/web/baijiao_branch_collect/vendor/topthink/think-trace/src/Html.php ( 4.42 KB )
  1. CONNECT:[ UseTime:0.000414s ] mysql:host=127.0.0.1;port=3306;dbname=baijiao_branch_collect;charset=utf8
  2. SHOW FULL COLUMNS FROM `fqi_school` [ RunTime:0.001221s ]
  3. SELECT * FROM `fqi_school` WHERE `school_id` = '3777' AND `site_id` = 2 AND `school_status` = 1 LIMIT 1 [ RunTime:0.000289s ]
  4. SHOW FULL COLUMNS FROM `fqi_school_class` [ RunTime:0.000614s ]
  5. SELECT * FROM `fqi_school_class` WHERE `school_id` = 3777 [ RunTime:0.000314s ]
  6. SHOW FULL COLUMNS FROM `fqi_school_campus` [ RunTime:0.000728s ]
  7. SELECT * FROM `fqi_school_campus` WHERE `school_id` = 3777 [ RunTime:0.000296s ]
  8. SHOW FULL COLUMNS FROM `fqi_school_news` [ RunTime:0.000758s ]
  9. SELECT `a`.*,`content` FROM `fqi_school_news` `a` LEFT JOIN `fqi_school_news_content` `b` ON `b`.`content_id`=`a`.`content_id` WHERE `school_id` = 3777 AND `a`.`content_id` = '22901' AND `news_status` = 1 AND `school_status` = 1 LIMIT 1 [ RunTime:0.000736s ]
  10. (select content_id,news_name,school_id from fqi_school_news where school_id = '3777' and content_id < '22901' and site_id <= '2' order by content_id desc limit 1) union all(select content_id,news_name,school_id from fqi_school_news where school_id = '3777' and content_id > '22901' and site_id <= '2' order by content_id asc limit 1) [ RunTime:0.000946s ]
  11. SHOW FULL COLUMNS FROM `fqi_school_course` [ RunTime:0.000737s ]
  12. SELECT * FROM `fqi_school_course` WHERE `school_id` = 3777 AND `site_id` = 2 AND `course_status` = 1 AND `school_status` = 1 ORDER BY `course_id` DESC LIMIT 4 [ RunTime:0.000525s ]
  13. SELECT * FROM `fqi_school_course` WHERE `school_id` = 3777 AND `school_status` = 1 AND `course_status` = 1 ORDER BY `course_id` DESC LIMIT 8 [ RunTime:0.000293s ]
  14. SELECT * FROM `fqi_school_news` WHERE `school_id` = 3777 ORDER BY `click` DESC,`news_id` DESC LIMIT 5 [ RunTime:0.000201s ]
  15. SELECT `content_id`,`news_name`,`a`.`school_id`,`b`.`school_name` FROM `fqi_school_news` `a` LEFT JOIN `fqi_school` `b` ON `b`.`school_id`=`a`.`school_id` WHERE `a`.`site_id` = '2' AND `b`.`school_status` = '1' AND `news_status` = 1 AND `content_id` < 22901 ORDER BY `content_id` DESC LIMIT 20 [ RunTime:0.006642s ]
0.020483s