• 依托于美国NGSS课程体系打造,结合本土青少儿成长及学习规律
  • 提供全方位科学素养培养规划和培养指导
  • 提供科学实验、编程启蒙、科创发明、机器人等综合素养类课程

400-888-4011

上海昂立Hello科学袋鼠数学辅导:思维锻造与竞赛突破的系统培养方案

上海昂立Hello科学袋鼠数学辅导:思维锻造与竞赛突破的系统培养方案

授课机构: 上海昂立Hello科学

上课地点: 校区地址

成交/评价:

联系电话: 400-888-4011

上海昂立Hello科学袋鼠数学辅导:思维锻造与竞赛突破的系统培养方案课程详情

袋鼠数学辅导:从兴趣激发到竞赛突破的全阶培养路径

国际视野下的袋鼠数学竞赛

提及青少年数学竞赛,袋鼠数学竞赛(Math Kangaroo)是绕不开的国际品牌。这项由澳大利亚数学家Peter O’Halloran在1980年埋下种子,后经法国数学教育家团队培育壮大的赛事,自1991年正式定名以来,已发展为覆盖全球80多个国家、超600万学生参与的数学盛会。与传统竞赛不同,它更像一场"数学游戏派对"——题目设计紧扣生活场景,用"如何分配零食最公平""怎样规划旅行路线更高效"等贴近日常的问题,让数学从课本走向真实世界,真正实现"在玩中学"。

竞赛的核心宗旨可概括为三个维度:一是唤醒数学兴趣,通过趣味题目打破"数学枯燥"的刻板印象;二是培养思维习惯,从阅读题目到分析条件再到推导结论,全程训练逻辑链条;三是建立能力自信,题目难度分级设置(1-12年级对应不同组别),确保各水平学生都能找到挑战与成就感的平衡点。这种"普惠性+趣味性"的设计,使其成为全球家长眼中"最适合普及数学思维"的竞赛之一。

为什么选择袋鼠数学竞赛?

对于学生而言,参与国际数学竞赛不仅是一次能力检验,更是多维成长的契机。具体体现在四个方面:

能力显性化展示:竞赛成绩是数学综合能力的直观体现,清晰呈现逻辑分析、信息提取、快速计算等核心素养,为升学背景或学术潜力评估提供有力佐证。

跨文化思维碰撞:与来自不同国家的参赛者同场竞技,接触多元解题思路(如欧洲的几何直观法、亚洲的代数严谨性),拓宽思维边界,培养国际视野。

学习动力再激活:竞赛过程中的阶段性目标(如突破某类题型)能有效提升学习主动性,尤其对"数学兴趣低迷"的学生,趣味性题目可能成为重新爱上数学的转折点。

长期能力打底:竞赛训练的"问题拆解-条件分析-策略验证"思维模式,不仅适用于数学学科,更是物理、编程等理工科学习的底层能力,为未来学术发展奠定基础。

上海昂立Hello科学的辅导课程设计

针对袋鼠数学竞赛的特点,上海昂立Hello科学研发了"兴趣引导-思维建模-竞赛突破"三阶辅导体系,覆盖从入门到冲刺的全流程需求。

课程内容:多领域覆盖与重点突破

课程内容以竞赛考纲为基础,延伸至代数、几何、概率论三大核心领域,具体包括:

  • 代数模块:侧重方程应用、数列规律、函数思维,通过"超市折扣计算""游戏积分规则"等场景题,培养变量分析能力;
  • 几何模块:包含平面图形性质、空间想象训练,结合"拼图游戏""建筑模型设计"等实践任务,强化直观思维;
  • 概率论模块:从生活中的"抽奖概率""天气预测"切入,学习统计图表分析与概率计算,建立数据敏感意识。

教学特色:分层训练与个性化指导

考虑到学生数学基础差异,课程采用"水平测评-分层组班-动态调整"的教学机制。入学前通过20道趣味测评题(涵盖计算速度、图形识别、逻辑推理)确定初始层级,班型分为"兴趣启蒙班"(数学基础较弱,侧重兴趣培养)、"能力提升班"(中等水平,强化思维建模)、"竞赛冲刺班"(基础扎实,聚焦真题训练与策略优化)。

课堂采用"问题导入-小组讨论-教师精讲-变式训练"四步教学法。例如在讲解"排列组合"时,先以"生日派对座位安排"为问题引子,学生分组讨论可能的排列方式,教师再总结规律并提炼公式,最后通过"旅行路线规划""礼物分配"等变式题巩固,确保知识从理解到应用的完整转化。

适合对象:全年龄段的数学成长需求

课程开放1-12年级报名,具体适配场景包括:

  1. 低龄段(1-3年级):数学学习初期,通过趣味题目建立"数学有用"的认知,避免因抽象概念产生畏难情绪;
  2. 中龄段(4-8年级):逻辑思维发展关键期,系统训练分析、归纳、验证等思维步骤,为初中数学学习打牢基础;
  3. 高龄段(9-12年级):冲刺竞赛奖项的同时,提升复杂问题处理能力,为高中数学及大学理工科学习储备核心竞争力。

课程目标:竞赛成绩与思维能力的双重提升

上海昂立Hello科学的辅导课程不仅瞄准竞赛奖项,更注重学生数学思维的长期发展。具体目标分为三个层面:

短期目标:帮助学生熟悉竞赛规则与题型特点,掌握"快速读题-关键信息提取-解题策略选择"的应试技巧,在竞赛中取得与其能力匹配的成绩;

中期目标:培养"用数学眼光观察世界"的习惯,能将生活问题转化为数学模型(如用比例解决调配问题、用概率分析游戏规则),提升知识迁移能力;

长期目标:建立严谨而灵活的思维体系——既具备逻辑推导的严密性,又能在复杂问题中快速找到突破口,这种思维模式将持续受益于后续的学术研究与职业发展。

从过往学员反馈看,参与完整课程周期(通常3-6个月)的学生,不仅竞赛成绩平均提升20%-30%,日常数学作业的完成效率与考试中的难题得分率也有显著改善,真正实现"竞赛促学习"的良性循环。

选择我们的理由:专业与温度的结合

在同类辅导机构中,上海昂立Hello科学的核心优势体现在:

教研团队专业:课程研发由具备10年以上竞赛辅导经验的数学教师主导,深度研究近10年全球真题,总结出"高频考点图谱"与"易错题型清单",教学更具针对性;

教学反馈及时:每节课后提供学习报告(包含知识点掌握情况、思维薄弱环节、改进建议),每月组织模拟竞赛并生成能力发展曲线,家长可随时掌握学习进展;

学习氛围轻松:拒绝"填鸭式"教学,通过数学游戏、小组竞赛、趣味实验等活动,让课堂保持高参与度,真正实现"学中玩,玩中学"。

上海昂立Hello科学

上海昂立Hello科学
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 00:40:51 HTTP/1.1 GET : http://www.aabqt.com/s/6831/c/93967.html
  2. 运行时间 : 0.051660s [ 吞吐率:19.36req/s ] 内存消耗:393.01kb 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:0.000394s ] mysql:host=127.0.0.1;port=3306;dbname=baijiao_branch_collect;charset=utf8
  2. SHOW FULL COLUMNS FROM `fqi_school` [ RunTime:0.001200s ]
  3. SELECT * FROM `fqi_school` WHERE `school_id` = '6831' AND `site_id` = 16 AND `school_status` = 1 LIMIT 1 [ RunTime:0.000318s ]
  4. SHOW FULL COLUMNS FROM `fqi_school_class` [ RunTime:0.000636s ]
  5. SELECT * FROM `fqi_school_class` WHERE `school_id` = 6831 [ RunTime:0.000249s ]
  6. SHOW FULL COLUMNS FROM `fqi_school_campus` [ RunTime:0.000614s ]
  7. SELECT * FROM `fqi_school_campus` WHERE `school_id` = 6831 [ RunTime:0.000257s ]
  8. SHOW FULL COLUMNS FROM `fqi_school_course` [ RunTime:0.000669s ]
  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` = 6831 AND `a`.`content_id` = '93967' AND `course_status` = 1 AND `school_status` = 1 LIMIT 1 [ RunTime:0.000648s ]
  10. (select content_id,course_name from fqi_school_course where school_id = '6831' and content_id < '93967' 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 = '6831' and content_id > '93967' and site_id <= '16' order by content_id asc limit 1) [ RunTime:0.000818s ]
  11. SELECT * FROM `fqi_school_course` WHERE `school_id` = 6831 AND `site_id` = 16 AND `course_status` = 1 AND `school_status` = 1 AND `school_class_id` = 22719 ORDER BY `course_id` DESC LIMIT 4 [ RunTime:0.000357s ]
  12. SELECT * FROM `fqi_school_course` WHERE `school_id` = 6831 AND `site_id` = 16 AND `course_status` = 1 AND `school_status` = 1 ORDER BY `course_id` DESC LIMIT 10 [ RunTime:0.000221s ]
  13. SELECT COUNT(*) AS think_count FROM `fqi_school_course` WHERE `school_id` = 6831 AND `course_status` = 1 [ RunTime:0.000146s ]
  14. SHOW FULL COLUMNS FROM `fqi_school_teacher` [ RunTime:0.000646s ]
  15. SELECT COUNT(*) AS think_count FROM `fqi_school_teacher` WHERE `school_id` = '6831' [ RunTime:0.000217s ]
  16. SHOW FULL COLUMNS FROM `fqi_school_comments` [ RunTime:0.000604s ]
  17. SELECT COUNT(*) AS think_count FROM `fqi_school_comments` WHERE `school_id` = '6831' [ RunTime:0.000192s ]
  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` < '93967' ORDER BY `content_id` DESC LIMIT 20 [ RunTime:0.039662s ]
0.051992s