• 专属助学督学服务,答疑老师全程伴学答疑
  • 橙啦教育采用直播和录播的混合教学模式,打破传统教育的时空限制
  • 橙啦教育还推出了智能答疑系统和学习社群

400-888-4011

福州考研数学备考新选择:橙啦教育培训班深度解析

福州考研数学备考新选择:橙啦教育培训班深度解析

授课机构: 福州橙啦教育

上课地点: 校区地址

成交/评价:

联系电话: 400-888-4011

福州考研数学备考新选择:橙啦教育培训班深度解析课程详情

福州考研数学备考新选择:橙啦教育培训班深度解析

为什么选择针对性的考研数学培训?

考研数学作为公共课中的核心科目,其难度与区分度直接影响整体考研成绩。无论是数学一的深度广度,还是数学二的精准聚焦,亦或数学三的综合应用,都需要系统化的知识梳理与应试技巧训练。福州橙啦教育深耕考研数学培训领域多年,针对不同考生的基础水平与报考需求,构建了一套科学完整的培训体系,成为本地考生提升数学成绩的重要助力。

课程体系:覆盖全类别考试需求

橙啦教育考研数学培训班的课程设计以考试大纲为基准,全面覆盖数学一、数学二、数学三三大类别。具体内容按学科模块细化如下:

高等数学模块

包含极限论、一元函数微积分学(导数/积分应用)、多元函数微积分学(偏导/重积分)、无穷级数(收敛性判断/展开式)、常微分方程(一阶/二阶方程求解)等核心内容。通过案例讲解与习题演练,帮助考生建立从基础概念到综合应用的完整知识链。

线性代数模块

涵盖行列式计算、矩阵运算(逆矩阵/秩)、向量组的线性相关性、线性方程组求解(齐次/非齐次)、矩阵的特征值与特征向量(对角化应用)、二次型(标准型转化)等关键知识点。特别强化矩阵与向量的关联性分析,提升考生跨章节综合解题能力。

概率论与数理统计模块

涉及随机事件概率计算(条件概率/全概率)、随机变量分布(离散型/连续型)、数字特征(期望/方差)、大数定律与中心极限定理(实际应用场景)、数理统计基本概念(抽样分布)、参数估计(点估计/区间估计)、假设检验(显著性水平判断)等内容。结合考研真题中的高频考点,重点讲解统计量的构造与检验方法。

分类教学:适配不同考试难度

考虑到数学一、数学二、数学三在考试范围与难度上的差异,橙啦教育采用分阶教学模式:

  • ') no-repeat left center;">数学一:覆盖高等数学(约60%)、线性代数(约20%)、概率论与数理统计(约20%),课程重点强化多元微积分、级数收敛性证明等高难度内容,匹配报考理工科院校的考生需求。
  • ') no-repeat left center;">数学二:聚焦高等数学(约80%)与线性代数(约20%),删减概率论内容,重点突破一元微积分应用、微分方程求解等高频考点,适合报考农学、部分工学专业的考生。
  • ') no-repeat left center;">数学三:包含微积分(约56%)、线性代数(约22%)、概率论与数理统计(约22%),强调经济管理类应用场景,如边际分析、弹性计算等,适配报考金融、会计等专业的考生。

教学特色:个性化与实战化并重

区别于传统大班课的“一刀切”模式,橙啦教育考研数学培训班围绕考生个体需求构建了三大核心优势:

1. 动态学习方案定制

开课前通过摸底测试+学习习惯调研,综合评估考生的知识薄弱点与时间管理能力。例如,对基础薄弱的考生增加基础概念讲解课时,对冲刺阶段的考生重点强化真题复盘;针对在职考生设计“碎片时间学习包”,将复杂知识点拆解为15-20分钟的微课程,适配不同学习节奏。

2. 双轨教学模式

采用“知识精讲+实战演练”双轨并进。课堂上通过思维导图梳理知识框架,结合经典例题讲解解题思路;课后配备分章节习题册与历年真题集,由教研团队标注“高频考点”“易错题型”,并提供详细解析。每周设置答疑专场,针对学员作业中的共性问题进行集中讲解,个性化问题通过学习平台1对1解答。

3. 应试技巧专项训练

针对考研数学的题型特点,特别设置选择题速解(排除法/特殊值法)、填空题精准计算(单位换算/符号判断)、解答题步骤规范(得分点分布)等专项训练。例如,针对解答题中“证明题”易失分的情况,总结“定义法”“反证法”“构造辅助函数法”等实用技巧,并通过真题案例演示得分步骤。

课程目标:从知识掌握到能力提升

通过完整的培训周期(一般为4-6个月),学员将达成以下核心目标:

  1. 系统掌握高等数学、线性代数、概率论与数理统计的基础概念与核心公式,建立跨章节知识联系;
  2. 精准定位考研数学的重点(如极限计算、矩阵求逆)与难点(如多元积分、假设检验),提升复杂问题拆解能力;
  3. 熟悉近10年考研数学真题的命题规律,掌握不同题型的解题策略,将平均解题时间从3-5分钟/题缩短至1.5-2.5分钟/题;
  4. 形成稳定的应试心态,能够在考试压力下保持计算准确性与逻辑严谨性,减少非知识性失分。

写在最后:选择培训的关键考量

考研数学的备考效果不仅取决于课程内容的全面性,更依赖于教学方法的针对性与服务的细致度。橙啦教育福州考研数学培训班通过个性化方案设计、实战化教学体系与全程陪伴式服务,为不同基础的考生提供了适配的提升路径。无论是一战考生夯实基础,还是二战考生突破瓶颈,这里都能找到对应的解决方案。

福州橙啦教育

福州橙啦教育
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 : 2026-04-04 05:54:50 HTTP/1.1 GET : http://www.aabqt.com/s/8164/c/105041.html
  2. 运行时间 : 0.031978s [ 吞吐率:31.27req/s ] 内存消耗:395.77kb 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:0.000291s ] mysql:host=127.0.0.1;port=3306;dbname=baijiao_branch_collect;charset=utf8
  2. SHOW FULL COLUMNS FROM `fqi_school` [ RunTime:0.000837s ]
  3. SELECT * FROM `fqi_school` WHERE `school_id` = '8164' AND `site_id` = 16 AND `school_status` = 1 LIMIT 1 [ RunTime:0.000271s ]
  4. SHOW FULL COLUMNS FROM `fqi_school_class` [ RunTime:0.000535s ]
  5. SELECT * FROM `fqi_school_class` WHERE `school_id` = 8164 [ RunTime:0.000219s ]
  6. SHOW FULL COLUMNS FROM `fqi_school_campus` [ RunTime:0.000624s ]
  7. SELECT * FROM `fqi_school_campus` WHERE `school_id` = 8164 [ RunTime:0.000239s ]
  8. SHOW FULL COLUMNS FROM `fqi_school_course` [ RunTime:0.000664s ]
  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` = 8164 AND `a`.`content_id` = '105041' AND `course_status` = 1 AND `school_status` = 1 LIMIT 1 [ RunTime:0.000633s ]
  10. (select content_id,course_name from fqi_school_course where school_id = '8164' and content_id < '105041' and site_id = '16' order by content_id desc limit 1) union all(select content_id,course_name from fqi_school_course where school_id = '8164' and content_id > '105041' and site_id <= '16' order by content_id asc limit 1) [ RunTime:0.000828s ]
  11. SELECT * FROM `fqi_school_course` WHERE `school_id` = 8164 AND `site_id` = 16 AND `course_status` = 1 AND `school_status` = 1 AND `school_class_id` = 25354 ORDER BY `course_id` DESC LIMIT 4 [ RunTime:0.000302s ]
  12. SELECT * FROM `fqi_school_course` WHERE `school_id` = 8164 AND `site_id` = 16 AND `course_status` = 1 AND `school_status` = 1 ORDER BY `course_id` DESC LIMIT 10 [ RunTime:0.000236s ]
  13. SELECT COUNT(*) AS think_count FROM `fqi_school_course` WHERE `school_id` = 8164 AND `course_status` = 1 [ RunTime:0.000173s ]
  14. SHOW FULL COLUMNS FROM `fqi_school_teacher` [ RunTime:0.000592s ]
  15. SELECT COUNT(*) AS think_count FROM `fqi_school_teacher` WHERE `school_id` = '8164' [ RunTime:0.000237s ]
  16. SHOW FULL COLUMNS FROM `fqi_school_comments` [ RunTime:0.000580s ]
  17. SELECT COUNT(*) AS think_count FROM `fqi_school_comments` WHERE `school_id` = '8164' [ RunTime:0.000206s ]
  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` = '16' AND `b`.`school_status` = '1' AND `course_status` = 1 AND `course_id` < '105041' ORDER BY `content_id` DESC LIMIT 20 [ RunTime:0.021216s ]
0.032289s