• 青岛三立教育始终秉承“立德”、“立功”、“立言”的要求。
  • 青岛三立教育为出国留学人群提供专业的留学生态服务。
  • 青岛三立教育集六大提分关键要素于一体,带给学员高效的提分体验

400-888-9073

青岛IB数学HL课程深度解析:从知识体系构建到考试突破全流程指南

青岛IB数学HL课程深度解析:从知识体系构建到考试突破全流程指南

授课机构: 青岛三立教育

上课地点: 校区地址

成交/评价:

联系电话: 400-888-9073

青岛IB数学HL课程深度解析:从知识体系构建到考试突破全流程指南课程详情

IB数学HL课程的核心价值与学习必要性

在国际课程体系中,IB数学HL(Higher Level)作为难度较高的课程模块,不仅是大学申请的重要学术证明,更是培养逻辑思维、问题解决能力的关键载体。对于计划冲刺海外院校的学生而言,优异的IB数学HL成绩能显著提升竞争力。然而,该课程涵盖微积分、概率统计、线性代数等高阶内容,知识密度大、逻辑链条长,仅凭自学往往难以系统掌握。青岛三立教育推出的IB数学HL课程,正是针对这一学习痛点,通过专业化、体系化的教学支持,帮助学员建立扎实的知识框架,掌握高效解题方法。

课程核心内容与教学目标详解

三立教育IB数学HL课程以“考点覆盖+能力提升”为设计主线,通过三大核心模块实现教学目标。首先是知识体系重构环节,依托自主研发的课程讲义,将分散的知识点按逻辑脉络重新整合,重点强化函数、微积分、统计与概率等核心板块的关联性讲解,帮助学员建立“知识地图”;其次是真题深度解析模块,选取近5年IBO官方真题进行分类训练,从题目立意、解题思路到易错点总结,逐一拆解命题规律;最后是个性化突破训练,针对学员模考中暴露的薄弱环节,定制专项练习题组,通过“讲-练-评”闭环提升解题熟练度。

课程明确设定两大教学目标:其一,帮助学员系统掌握IB数学HL考纲要求的12个主题内容,确保知识点覆盖率达;其二,通过科学训练使学员具备快速识别题型、调用解题策略的能力,最终在考试中稳定输出6+成绩(IB评分体系中6分为优秀等级)。这一目标的设定既基于对考纲的深度研究,也结合了三立教育多年教学积累的学员数据,具有高度的可行性与针对性。

精准适配:哪些学员更适合这门课程?

考虑到IB数学HL的学习难度,课程在学员筛选上设置了明确的适配条件。类是已有一定数学基础的同学,具体表现为能独立完成基础代数运算、理解函数基本性质,且对几何与统计概念有初步认知。这类学员已具备学习高阶内容的“地基”,通过课程可快速实现能力跃迁。第二类是距离考试尚有1个月复习时间的学员,1个月周期既足够完成核心考点的强化训练,又能通过模拟考试进行状态调整,避免因时间不足导致复习不系统。第三类是模考成绩稳定在4分的学员(IB数学HL满分7分,4分为及格线),这部分学员已掌握基础知识点,但在综合题解答、时间分配等方面存在提升空间,课程将重点针对其“临界问题”进行突破。

需要特别说明的是,课程虽设置适配条件,但并非限制学员参与。对于基础稍弱的学生,三立教育提供前置衔接课程,通过10课时的补漏学习,帮助其快速达到适配要求;对于备考时间紧张的学员,课程支持灵活的课时调整,可优先选择高频考点专项班,确保重点内容优先掌握。

三立教育的“高效提分”教学模式

区别于传统“填鸭式”教学,三立教育IB数学HL课程以“学员为中心”设计教学流程,构建了“诊断-教学-反馈”的闭环模式。课程启动前,学员需完成包含20道经典题目的水平测试,系统评估知识点掌握情况、解题速度、易错类型等维度,形成个性化学习档案;教学过程中,采用“双师协同”模式——主讲教师负责知识讲解与方法传授,辅导教师全程跟踪学习进度,针对课堂疑问实时答疑;每完成一个模块学习,立即进行阶段性测试,通过数据化分析(如正确率、耗时分布、知识点失分率)精准定位问题,调整后续教学重点。

这种模式的优势在于“精准”与“高效”。以2023年春季班数据为例,参与课程的32名学员中,28人在结课模考中成绩提升2-3分,其中15人达到6+水平;从学习耗时看,平均每课时有效提分0.3分,较传统培训模式效率提升40%。这些数据不仅验证了教学模式的科学性,也体现了三立教育对“花费更少、耗时更短、提升更大”培训理念的实践落地。

选择IB数学HL课程的三大关键考量

面对市场上各类IB培训课程,学员与家长在选择时需重点关注三个维度。首先是教学内容的针对性,需确认课程是否基于最新IB考纲编写讲义,是否包含真题解析与命题趋势分析。三立教育课程团队每季度更新教学材料,确保内容与考纲变化同步,且真题覆盖2018-2023年所有场次,分析维度涵盖题型分布、难度系数、高频考点等。

其次是师资力量的专业性,IB数学HL教学需要教师同时具备扎实的数学功底与丰富的IB教学经验。三立教育IB数学团队教师均拥有海外名校数学专业背景,且平均教龄超过5年,部分教师曾参与IBO官方培训,对评分标准、答题规范有深度理解。

最后是学习效果的可衡量性,优质课程应提供明确的进度跟踪与效果反馈机制。三立教育为每位学员配备学习管理系统,实时记录课堂表现、作业完成情况、测试成绩等数据,家长可通过手机端随时查看;结课阶段提供详细的学习报告,从知识点掌握度、解题能力、考试策略等方面总结提升成果,真正实现“学习有轨迹,进步可看见”。

青岛三立教育

青岛三立教育
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 07:22:26 HTTP/1.1 GET : http://www.peixunbb.com/s/60/c/949.html
  2. 运行时间 : 0.015249s [ 吞吐率:65.58req/s ] 内存消耗:389.18kb 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:0.000283s ] mysql:host=127.0.0.1;port=3306;dbname=baijiao_branch_collect;charset=utf8
  2. SHOW FULL COLUMNS FROM `fqi_school` [ RunTime:0.000890s ]
  3. SELECT * FROM `fqi_school` WHERE `school_id` = '60' AND `site_id` = 14 AND `school_status` = 1 LIMIT 1 [ RunTime:0.000320s ]
  4. SHOW FULL COLUMNS FROM `fqi_school_class` [ RunTime:0.000617s ]
  5. SELECT * FROM `fqi_school_class` WHERE `school_id` = 60 [ RunTime:0.000253s ]
  6. SHOW FULL COLUMNS FROM `fqi_school_campus` [ RunTime:0.000646s ]
  7. SELECT * FROM `fqi_school_campus` WHERE `school_id` = 60 [ RunTime:0.000238s ]
  8. SHOW FULL COLUMNS FROM `fqi_school_course` [ RunTime:0.000756s ]
  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` = 60 AND `a`.`content_id` = '949' AND `course_status` = 1 AND `school_status` = 1 LIMIT 1 [ RunTime:0.000368s ]
  10. (select content_id,course_name from fqi_school_course where school_id = '60' and content_id < '949' and site_id = '14' order by content_id desc limit 1) union all(select content_id,course_name from fqi_school_course where school_id = '60' and content_id > '949' and site_id <= '14' order by content_id asc limit 1) [ RunTime:0.000957s ]
  11. SELECT * FROM `fqi_school_course` WHERE `school_id` = 60 AND `site_id` = 14 AND `course_status` = 1 AND `school_status` = 1 AND `school_class_id` = 292 ORDER BY `course_id` DESC LIMIT 4 [ RunTime:0.000445s ]
  12. SELECT * FROM `fqi_school_course` WHERE `school_id` = 60 AND `site_id` = 14 AND `course_status` = 1 AND `school_status` = 1 ORDER BY `course_id` DESC LIMIT 10 [ RunTime:0.000431s ]
  13. SELECT COUNT(*) AS think_count FROM `fqi_school_course` WHERE `school_id` = 60 AND `course_status` = 1 [ RunTime:0.000253s ]
  14. SHOW FULL COLUMNS FROM `fqi_school_teacher` [ RunTime:0.000666s ]
  15. SELECT COUNT(*) AS think_count FROM `fqi_school_teacher` WHERE `school_id` = '60' [ RunTime:0.000219s ]
  16. SHOW FULL COLUMNS FROM `fqi_school_comments` [ RunTime:0.000788s ]
  17. SELECT COUNT(*) AS think_count FROM `fqi_school_comments` WHERE `school_id` = '60' [ RunTime:0.000236s ]
  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` = '14' AND `b`.`school_status` = '1' AND `course_status` = 1 AND `course_id` < '949' ORDER BY `content_id` DESC LIMIT 20 [ RunTime:0.002524s ]
0.015727s