• 针对学生特点帮助孩子提高
  • 旨在提高学习兴趣和学习能力、培养学习习惯
  • 根据不同学生自身的学习特点,培养属于学生自己的学习方法

400-888-4851

哈尔滨弘德瀚博教育高一数学培训:定制化课程破解高中数学衔接难题

哈尔滨弘德瀚博教育高一数学培训:定制化课程破解高中数学衔接难题

授课机构: 哈尔滨弘德瀚博教育

上课地点: 校区地址

成交/评价:

联系电话: 400-888-4851

哈尔滨弘德瀚博教育高一数学培训:定制化课程破解高中数学衔接难题课程详情

哈尔滨弘德瀚博教育高一数学培训:定制化课程破解高中数学衔接难题

高一数学学习的关键:衔接与突破

高中数学与初中数学的差异不仅体现在知识深度上,更在于思维方式的转变。从具体的数字运算到抽象的符号逻辑,从直观的图形认知到复杂的函数分析,高一阶段正是完成这一转变的关键期。哈尔滨弘德瀚博教育的高一数学培训班,正是针对这一特殊阶段设计,通过系统化课程帮助学生打通知识衔接通道,突破学习瓶颈。

课程重点覆盖集合与简易逻辑、函数、数列、三角函数和平面向量五大模块。其中集合作为高中数学的基础语言,其符号系统和逻辑关系需要学生从被动记忆转向主动应用;函数则是贯穿整个高中数学的核心概念,从一次函数到二次函数再到指数对数函数,其图像变化规律和代数表达式的对应关系需要深度理解;数列部分不仅涉及具体的通项公式推导,更需要培养递推思维;三角函数的周期性和平面向量的几何意义,则是后续解析几何学习的重要基础。

谁需要这门高一数学培训?

课程面向全体高一学生,但重点解决四类典型问题:

  • 基础薄弱型:初中数学知识存在断层,如因式分解不熟练、方程解法不系统,导致高中新知识吸收困难;
  • 成绩瓶颈型:平时作业能完成,但考试分数卡在100分(满分150)左右,缺乏综合题解题思路;
  • 衔接困难型:对高中数学的抽象符号(如∈、∅、f(x))和逻辑表述(如充分必要条件)不适应,课堂理解效率低;
  • 优中拔优型:初中数学成绩优异,希望提前掌握高中数学核心方法,为竞赛或强基计划储备能力。

无论学生当前处于哪种学习状态,弘德瀚博的教师团队都会通过入学测试和学习访谈,精准定位薄弱环节,制定个性化提升方案。

四大核心特色:让数学学习更高效

1对1定制教学方案

与大班课“一刀切”的教学模式不同,弘德瀚博采用“一人一案”的教学策略。教师会根据学生的知识掌握程度、学习习惯(如视觉型/听觉型学习者)、目标规划(如高考普通班/竞赛班),重新组合知识模块。例如,针对基础薄弱的学生,会先补充初中函数图像绘制技巧,再切入高中函数单调性讲解;对于优培学生,则会在讲解数列通项时引入数学归纳法,提前培养逻辑证明能力。

配套讲义由教研团队根据教学方案实时调整,题目难度精准匹配学生当前水平——简单题巩固基础,中档题训练方法,难题拓展思维,真正实现“跳一跳够得到”的学习体验。

时间地点灵活适配

考虑到高一学生学业压力大、课外时间碎片化的特点,课程采用“随报随学”机制。家长可根据孩子的学校作息、补习班排课情况,自主选择周末白天、 weekday晚间或假期集中上课。教学地点支持校区固定教室、线上直播(配备板书共享功能)或家庭上门辅导(限哈市主城区)三种模式,程度减少时间成本。

曾有位学生因参加校篮球队训练,只能在每周三、五晚7-9点上课,教师团队专门调整排课,配合其训练日程,最终该生期中考试数学成绩从82分提升至115分。

学习方法系统培养

很多学生初中数学成绩不错,但高中突然“跟不上”,关键在于缺乏科学的学习方法。课程特别设置“数学学习力”模块,重点培养三大能力:

  1. 预习转化力:学会用“问题清单法”预习,将教材中的定义、公式转化为具体问题(如“为什么函数定义域需要优先考虑?”),带着问题听课;
  2. 笔记整理力:采用“三色笔记法”——黑色记录知识点,蓝色标注老师补充的例题,红色标记自己的易错点,课后24小时内完成笔记复盘;
  3. 错题分析力:建立“错题双维度档案”,按知识点(如“三角函数图像变换”)和错误类型(如“计算失误”“概念混淆”)分类,每月进行错题重做测试。

学习态度正向引导

针对部分学生因数学难度提升产生的畏难情绪,教师团队采用“任务拆解+即时反馈”的教学策略。将复杂的数学问题分解为3-5个可操作的小步骤,每完成一步给予具体肯定(如“这个函数定义域的分析很全面”而非简单说“不错”),逐步重建学习信心。

课堂中融入数学史故事(如笛卡尔发明坐标系的过程)、生活中的数学应用(如用三角函数分析摩天轮运动),让抽象的数学知识“活起来”。曾有学生在学习平面向量后,主动用向量方法分析小区篮球架的受力情况,这种从“被动学”到“主动用”的转变,正是教学目标的体现。

选择弘德瀚博的理由:专业与温度并存

教学团队由8年以上高中数学教学经验的教师组成,熟悉新高考改革方向,对高一数学的重点(如函数单调性证明)、难点(如抽象函数定义域求解)、易错点(如向量数量积的符号判断)有深入研究。

除了知识传授,教师更注重“学习陪伴”——课后通过学习打卡群及时解答疑问,每月与家长沟通学习进展,定期组织数学学习经验交流会。这种“知识+方法+心理”的全方位支持,让学生不仅能提升数学成绩,更能收获面对挑战的勇气。

高中数学的大门已经打开,弘德瀚博教育的高一数学培训班,愿做您孩子的“衔接引路人”,帮助他们在数学的海洋里稳步航行,驶向更广阔的未来。

哈尔滨弘德瀚博教育

哈尔滨弘德瀚博教育
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 03:56:59 HTTP/1.1 GET : http://www.aabrd.com/s/5901/c/82655.html
  2. 运行时间 : 0.057796s [ 吞吐率:17.30req/s ] 内存消耗:397.41kb 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:0.000461s ] mysql:host=127.0.0.1;port=3306;dbname=baijiao_branch_collect;charset=utf8
  2. SHOW FULL COLUMNS FROM `fqi_school` [ RunTime:0.001175s ]
  3. SELECT * FROM `fqi_school` WHERE `school_id` = '5901' AND `site_id` = 19 AND `school_status` = 1 LIMIT 1 [ RunTime:0.000313s ]
  4. SHOW FULL COLUMNS FROM `fqi_school_class` [ RunTime:0.000621s ]
  5. SELECT * FROM `fqi_school_class` WHERE `school_id` = 5901 [ RunTime:0.000254s ]
  6. SHOW FULL COLUMNS FROM `fqi_school_campus` [ RunTime:0.000615s ]
  7. SELECT * FROM `fqi_school_campus` WHERE `school_id` = 5901 [ RunTime:0.000278s ]
  8. SHOW FULL COLUMNS FROM `fqi_school_course` [ RunTime:0.000698s ]
  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` = 5901 AND `a`.`content_id` = '82655' AND `course_status` = 1 AND `school_status` = 1 LIMIT 1 [ RunTime:0.000649s ]
  10. (select content_id,course_name from fqi_school_course where school_id = '5901' and content_id < '82655' and site_id = '19' order by content_id desc limit 1) union all(select content_id,course_name from fqi_school_course where school_id = '5901' and content_id > '82655' and site_id <= '19' order by content_id asc limit 1) [ RunTime:0.001405s ]
  11. SELECT * FROM `fqi_school_course` WHERE `school_id` = 5901 AND `site_id` = 19 AND `course_status` = 1 AND `school_status` = 1 AND `school_class_id` = 20510 ORDER BY `course_id` DESC LIMIT 4 [ RunTime:0.000343s ]
  12. SELECT * FROM `fqi_school_course` WHERE `school_id` = 5901 AND `site_id` = 19 AND `course_status` = 1 AND `school_status` = 1 ORDER BY `course_id` DESC LIMIT 10 [ RunTime:0.000262s ]
  13. SELECT COUNT(*) AS think_count FROM `fqi_school_course` WHERE `school_id` = 5901 AND `course_status` = 1 [ RunTime:0.000162s ]
  14. SHOW FULL COLUMNS FROM `fqi_school_teacher` [ RunTime:0.000664s ]
  15. SELECT COUNT(*) AS think_count FROM `fqi_school_teacher` WHERE `school_id` = '5901' [ RunTime:0.000184s ]
  16. SHOW FULL COLUMNS FROM `fqi_school_comments` [ RunTime:0.000574s ]
  17. SELECT COUNT(*) AS think_count FROM `fqi_school_comments` WHERE `school_id` = '5901' [ RunTime:0.000182s ]
  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` = '19' AND `b`.`school_status` = '1' AND `course_status` = 1 AND `course_id` < '82655' ORDER BY `content_id` DESC LIMIT 20 [ RunTime:0.044139s ]
0.058294s