• 一家有着多年教学经验的k12机构,引导学生走向未来更好的道路
  • 一家专注于初中辅导的综合性教育培训机构
  • 致力于帮助高中学生有效强化学习能力,冲刺自己理想的大学

400-060-0105

南通初中数学培训班课程体系全解析:从思维培养到能力提升

南通初中数学培训班课程体系全解析:从思维培养到能力提升

授课机构: 南通学大教育

上课地点: 校区地址

成交/评价:

联系电话: 400-060-0105

南通初中数学培训班课程体系全解析:从思维培养到能力提升课程详情

南通初中数学学习进阶:学大教育培训班的核心价值与实践路径

数学能力培养的关键:课程设计的底层逻辑

初中阶段是数学思维形成的黄金期,这一时期的学习不仅关系到升学成绩,更影响逻辑分析、问题解决等综合能力的发展。学大教育初中数学培训班以"知识-思维-应用"三位一体为设计理念,既注重基础概念的精准掌握,又强调将数学工具转化为解决实际问题的能力。通过多年教学实践验证,这种模式能有效帮助学生突破"听懂不会做""学过易遗忘"的常见瓶颈。

课程核心目标聚焦五大数学素养:其一为数学抽象,即从具体问题中提炼数学模型的能力;其二是逻辑推理,通过已知条件推导结论的严谨思维;其三是直观想象,将抽象概念转化为图形或空间结构的可视化能力;其四是数学运算,包括数值计算与符号操作的准确性;其五是数据分析,从海量信息中提取关键规律的统计思维。这五大素养贯穿整个课程体系,成为教学效果的核心评估维度。

四大知识模块:构建完整数学知识网络

模块一:数与代数——运算能力的根基

该模块包含有理数、无理数到实数的概念进阶,整式、分式的化简运算,以及一元一次方程、二次函数等核心内容。教学中特别注重"从算术到代数"的思维转换,例如在学习一元二次方程时,会通过"商品定价与利润计算""几何图形面积求解"等实际案例,让学生理解方程不仅是符号游戏,更是解决现实问题的工具。

模块二:图形与几何——空间观念的培养

从点线面的基础认知到三角形、圆的性质探究,再到图形变换(平移、旋转、相似)的规律总结,课程通过"观察-猜想-验证"的探究式教学,帮助学生建立空间直观。例如在讲解圆的切线性质时,会借助几何画板动态演示,让学生直观看到"切线与半径垂直"的必然性,这种具象化教学比单纯记忆定理更能加深理解。

模块三:统计与概率——数据思维的启蒙

课程从数据收集(问卷调查、实验测量)开始,逐步过渡到统计图表(条形图、折线图)的制作与分析,最终掌握平均数、方差等统计量的实际意义。概率部分则通过抛硬币、摸球等经典实验,让学生理解"频率趋近概率"的统计规律,培养用数据说话的科学态度。

模块四:综合与实践——跨学科应用的桥梁

这是最能体现数学实用价值的模块,内容包括测量校园旗杆高度(结合解直角三角形)、设计最优购物方案(涉及一次函数)、规划社区绿化布局(融合图形与统计)等。通过项目式学习,学生需要综合运用多模块知识,在解决真实问题的过程中,深刻体会"数学不是孤立学科"的内涵。

高效学习的五个关键动作

数学学习没有捷径,但有科学的方法可循。结合学大教育多年教学经验,总结出五个可操作的学习策略,帮助学生提升学习效率:

  • 概念拆解:拿到新知识点时,先拆分核心要素。例如"函数"概念,需明确定义域、对应法则、值域三个关键点,通过具体例子(如气温随时间变化)辅助理解。
  • 错题建档:准备专用错题本,记录时不仅要抄题,更要标注错误类型(计算失误/概念混淆/思路偏差),每周复盘时重点攻克同类问题。
  • 一题多解:遇到经典题型(如二次函数最值问题),尝试用代数法、配方法、图像法等不同思路解答,对比优劣,培养思维灵活性。
  • 生活建模:每天观察1个生活场景(如超市促销、家庭水电表读数),尝试用数学模型描述。例如"满减活动"可转化为分段函数问题,长期练习能提升应用意识。
  • 定时复盘:每学完一个章节,用思维导图梳理知识脉络,标注重点公式、易错点及典型例题,这种结构化整理比重复做题更能加深记忆。

为什么选择学大教育初中数学培训班?

在南通众多初中数学培训机构中,学大教育的独特优势体现在三个方面:

分层教学体系

根据入学测试成绩,将学生分为基础巩固、能力提升、竞赛拓展三个班次,避免"一刀切"教学导致的"尖子生吃不饱,后进生跟不上"问题。

双师辅导模式

主讲教师负责课堂知识讲解,辅导教师课后1对1答疑,针对作业中的共性问题录制微视频,解决学生"课上听懂,课后不会"的痛点。

动态学习反馈

每月生成个性化学习报告,从知识掌握度、思维活跃度、学习习惯等维度分析进步空间,家长可通过小程序实时查看孩子学习轨迹。

初中数学学习是一场需要耐心与方法的长跑,学大教育初中数学培训班不仅提供系统的知识体系,更注重学习能力的培养。无论是夯实基础还是冲刺拔高,这里都能找到适合的成长路径。选择科学的培训方案,配合有效的学习方法,每个学生都能在数学学习中找到自信与乐趣。

南通学大教育

南通学大教育
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 17:57:40 HTTP/1.1 GET : http://www.aabqu.com/s/8616/c/108378.html
  2. 运行时间 : 0.060055s [ 吞吐率:16.65req/s ] 内存消耗:396.34kb 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:0.000277s ] mysql:host=127.0.0.1;port=3306;dbname=baijiao_branch_collect;charset=utf8
  2. SHOW FULL COLUMNS FROM `fqi_school` [ RunTime:0.000928s ]
  3. SELECT * FROM `fqi_school` WHERE `school_id` = '8616' AND `site_id` = 15 AND `school_status` = 1 LIMIT 1 [ RunTime:0.000272s ]
  4. SHOW FULL COLUMNS FROM `fqi_school_class` [ RunTime:0.000729s ]
  5. SELECT * FROM `fqi_school_class` WHERE `school_id` = 8616 [ RunTime:0.000237s ]
  6. SHOW FULL COLUMNS FROM `fqi_school_campus` [ RunTime:0.000732s ]
  7. SELECT * FROM `fqi_school_campus` WHERE `school_id` = 8616 [ RunTime:0.000247s ]
  8. SHOW FULL COLUMNS FROM `fqi_school_course` [ RunTime:0.000853s ]
  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` = 8616 AND `a`.`content_id` = '108378' AND `course_status` = 1 AND `school_status` = 1 LIMIT 1 [ RunTime:0.001056s ]
  10. (select content_id,course_name from fqi_school_course where school_id = '8616' and content_id < '108378' and site_id = '15' order by content_id desc limit 1) union all(select content_id,course_name from fqi_school_course where school_id = '8616' and content_id > '108378' and site_id <= '15' order by content_id asc limit 1) [ RunTime:0.002066s ]
  11. SELECT * FROM `fqi_school_course` WHERE `school_id` = 8616 AND `site_id` = 15 AND `course_status` = 1 AND `school_status` = 1 AND `school_class_id` = 26207 ORDER BY `course_id` DESC LIMIT 4 [ RunTime:0.000431s ]
  12. SELECT * FROM `fqi_school_course` WHERE `school_id` = 8616 AND `site_id` = 15 AND `course_status` = 1 AND `school_status` = 1 ORDER BY `course_id` DESC LIMIT 10 [ RunTime:0.000308s ]
  13. SELECT COUNT(*) AS think_count FROM `fqi_school_course` WHERE `school_id` = 8616 AND `course_status` = 1 [ RunTime:0.000273s ]
  14. SHOW FULL COLUMNS FROM `fqi_school_teacher` [ RunTime:0.000826s ]
  15. SELECT COUNT(*) AS think_count FROM `fqi_school_teacher` WHERE `school_id` = '8616' [ RunTime:0.000226s ]
  16. SHOW FULL COLUMNS FROM `fqi_school_comments` [ RunTime:0.000603s ]
  17. SELECT COUNT(*) AS think_count FROM `fqi_school_comments` WHERE `school_id` = '8616' [ RunTime:0.000205s ]
  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` = '15' AND `b`.`school_status` = '1' AND `course_status` = 1 AND `course_id` < '108378' ORDER BY `content_id` DESC LIMIT 20 [ RunTime:0.045613s ]
0.060375s