当前位置:首页>小学资源包>【免费资源分享】新加坡小学数学建模!211集教学视频课!学会画图建模,应用题啥都难不倒!

【免费资源分享】新加坡小学数学建模!211集教学视频课!学会画图建模,应用题啥都难不倒!

  • 2026-02-10 16:27:04
【免费资源分享】新加坡小学数学建模!211集教学视频课!学会画图建模,应用题啥都难不倒!

点击上方蓝字关注我哟~

Hi,欢迎你来程程妈爱分享,育儿育己,共同成长。我整理了适合0-12岁的孩子使用的学习资源,免费分享,希望你的育儿路走得更轻松~

海量资源免费分享

领取方式见文末

很多家长都闭眼入了这套,但是对于95%的孩子来说原版的纯英文学起来很难,只能依赖原版赠送的中文翻译册。这次整理出教学视频课!视频教程没有PDF。看着视频也不需要书,老师手把手教的,反复做题。或者自己用其他类似的书,比如101challenge来练也行。有了这套,不夸张的说,学起来超赚!!!

这就是新加坡CPA教学法具象思维——形象思维——抽象思维3个阶段。
这套新出的《新加坡数学建模》一套书帮孩子吃透应用题,用建模法建立数学思维,把握数学本质。

配套讲解课程

• 双语视频,一书一课,解除家长辅导压力和负担;

• 边学边点评,过关数学文字陷阱。

• 以中国学生善于接受的方式,从数学基本概念开始,以讲英文为载体,系统

解析数学思维;

• 数学+英语→英语数学,顺利过渡。完整搭建英语数学思维架构基础;

• 紧扣日常生活,学习身边被忽略的英语小单词。

课程介绍:按照新加坡教学大纲进度,归纳巩固数学基本概念,通过讲例题,做习题,学习新加坡数学最具特色的建模解应用题。做题同时详解小学数学中出现的常见英语词汇与句型。提高对数字的听力敏感度,学习数学公式及概念的地道英文表述。

特点:学数学,学英文,同步进行。放弃课本英语,真正做到用英语解决实际问题。从小学阶段打造阅读理解坚实基础。

适合人群:小学至初中学生,预备海外留学学生,

学习目标: 1个月内无缝衔接国外小学校数学语言及课程,迅速提高英文理解阅读,攻克IP,AP和IB难题。

数学、英语同步学

一说数学、英语同步学,还能学好,甚至事半功倍。大多数家长朋友们都是不信的吧。可能会有质疑:数学和英语。这两个学科根本就没有相同之处,一起学,行不行啊?不要到最后两样都学不好?

但是,再说到“跨学科学习”,是不是有点熟悉了啊?将英语与学生生活、其他科目相结合,体现开放性、活动性和趣味性的原则。

英语内容和数学学科相结合。数学的数字、符号以及应用题中的语言描述来掌握英语单词和词组。
数学题中涉及的单词、词组不会很难,正好适合小学阶段孩子的英语学习能力。而且就算一道题看不懂,还有中文版辅助。随书附赠的讲解视频里,老师也会对出现的词汇逐一讲解,非常详细。
这种跨学科的英语-数学教学打破了学科界限,更能拓展学生的视野,提升学生综合思维的能力。

1. 社群内小伙伴在群内获取即可。

2.关注公众号后,输入关键词B4272获取。

 3.如遇过期资源,或更多资源添加小编微信:wxc00798

特别声明

      本微信公众账号分享的资源均通过网络等公共合法渠道获得,仅供试用!版权属于原出版机构或影像公司,本资源为电子载体,传播分享仅限于家庭使用与交流心得、参考和辅助购买决策,不得以任何理由在商业行为中使用,若喜欢此资源,建议购买实体产品。文章中的视频及图片均来自网络,版权归原作者或原出版社所有。如有侵权,请及时联系删除。

最新文章

随机文章

基本 文件 流程 错误 SQL 调试
  1. 请求信息 : 2026-02-12 08:54:10 HTTP/2.0 GET : https://c.67808.cn/a/458447.html
  2. 运行时间 : 0.149464s [ 吞吐率:6.69req/s ] 内存消耗:4,311.47kb 文件加载:140
  3. 缓存信息 : 0 reads,0 writes
  4. 会话信息 : SESSION_ID=608d0820b782d79418d37ad8b35da373
  1. /yingpanguazai/ssd/ssd1/www/c.67808.cn/public/index.php ( 0.79 KB )
  2. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/autoload.php ( 0.17 KB )
  3. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/composer/autoload_real.php ( 2.49 KB )
  4. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/composer/platform_check.php ( 0.90 KB )
  5. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/composer/ClassLoader.php ( 14.03 KB )
  6. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/composer/autoload_static.php ( 4.90 KB )
  7. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/think-helper/src/helper.php ( 8.34 KB )
  8. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/think-validate/src/helper.php ( 2.19 KB )
  9. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/think-orm/src/helper.php ( 1.47 KB )
  10. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/think-orm/stubs/load_stubs.php ( 0.16 KB )
  11. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/framework/src/think/Exception.php ( 1.69 KB )
  12. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/think-container/src/Facade.php ( 2.71 KB )
  13. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/symfony/deprecation-contracts/function.php ( 0.99 KB )
  14. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/symfony/polyfill-mbstring/bootstrap.php ( 8.26 KB )
  15. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/symfony/polyfill-mbstring/bootstrap80.php ( 9.78 KB )
  16. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/symfony/var-dumper/Resources/functions/dump.php ( 1.49 KB )
  17. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/think-dumper/src/helper.php ( 0.18 KB )
  18. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/symfony/var-dumper/VarDumper.php ( 4.30 KB )
  19. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/framework/src/think/App.php ( 15.30 KB )
  20. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/think-container/src/Container.php ( 15.76 KB )
  21. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/psr/container/src/ContainerInterface.php ( 1.02 KB )
  22. /yingpanguazai/ssd/ssd1/www/c.67808.cn/app/provider.php ( 0.19 KB )
  23. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/framework/src/think/Http.php ( 6.04 KB )
  24. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/think-helper/src/helper/Str.php ( 7.29 KB )
  25. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/framework/src/think/Env.php ( 4.68 KB )
  26. /yingpanguazai/ssd/ssd1/www/c.67808.cn/app/common.php ( 0.03 KB )
  27. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/framework/src/helper.php ( 18.78 KB )
  28. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/framework/src/think/Config.php ( 5.54 KB )
  29. /yingpanguazai/ssd/ssd1/www/c.67808.cn/config/app.php ( 0.95 KB )
  30. /yingpanguazai/ssd/ssd1/www/c.67808.cn/config/cache.php ( 0.78 KB )
  31. /yingpanguazai/ssd/ssd1/www/c.67808.cn/config/console.php ( 0.23 KB )
  32. /yingpanguazai/ssd/ssd1/www/c.67808.cn/config/cookie.php ( 0.56 KB )
  33. /yingpanguazai/ssd/ssd1/www/c.67808.cn/config/database.php ( 2.48 KB )
  34. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/framework/src/think/facade/Env.php ( 1.67 KB )
  35. /yingpanguazai/ssd/ssd1/www/c.67808.cn/config/filesystem.php ( 0.61 KB )
  36. /yingpanguazai/ssd/ssd1/www/c.67808.cn/config/lang.php ( 0.91 KB )
  37. /yingpanguazai/ssd/ssd1/www/c.67808.cn/config/log.php ( 1.35 KB )
  38. /yingpanguazai/ssd/ssd1/www/c.67808.cn/config/middleware.php ( 0.19 KB )
  39. /yingpanguazai/ssd/ssd1/www/c.67808.cn/config/route.php ( 1.89 KB )
  40. /yingpanguazai/ssd/ssd1/www/c.67808.cn/config/session.php ( 0.57 KB )
  41. /yingpanguazai/ssd/ssd1/www/c.67808.cn/config/trace.php ( 0.34 KB )
  42. /yingpanguazai/ssd/ssd1/www/c.67808.cn/config/view.php ( 0.82 KB )
  43. /yingpanguazai/ssd/ssd1/www/c.67808.cn/app/event.php ( 0.25 KB )
  44. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/framework/src/think/Event.php ( 7.67 KB )
  45. /yingpanguazai/ssd/ssd1/www/c.67808.cn/app/service.php ( 0.13 KB )
  46. /yingpanguazai/ssd/ssd1/www/c.67808.cn/app/AppService.php ( 0.26 KB )
  47. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/framework/src/think/Service.php ( 1.64 KB )
  48. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/framework/src/think/Lang.php ( 7.35 KB )
  49. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/framework/src/lang/zh-cn.php ( 13.70 KB )
  50. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/framework/src/think/initializer/Error.php ( 3.31 KB )
  51. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/framework/src/think/initializer/RegisterService.php ( 1.33 KB )
  52. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/services.php ( 0.14 KB )
  53. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/framework/src/think/service/PaginatorService.php ( 1.52 KB )
  54. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/framework/src/think/service/ValidateService.php ( 0.99 KB )
  55. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/framework/src/think/service/ModelService.php ( 2.04 KB )
  56. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/think-trace/src/Service.php ( 0.77 KB )
  57. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/framework/src/think/Middleware.php ( 6.72 KB )
  58. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/framework/src/think/initializer/BootService.php ( 0.77 KB )
  59. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/think-orm/src/Paginator.php ( 11.86 KB )
  60. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/think-validate/src/Validate.php ( 63.20 KB )
  61. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/think-orm/src/Model.php ( 23.55 KB )
  62. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/think-orm/src/model/concern/Attribute.php ( 21.05 KB )
  63. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/think-orm/src/model/concern/AutoWriteData.php ( 4.21 KB )
  64. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/think-orm/src/model/concern/Conversion.php ( 6.44 KB )
  65. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/think-orm/src/model/concern/DbConnect.php ( 5.16 KB )
  66. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/think-orm/src/model/concern/ModelEvent.php ( 2.33 KB )
  67. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/think-orm/src/model/concern/RelationShip.php ( 28.29 KB )
  68. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/think-helper/src/contract/Arrayable.php ( 0.09 KB )
  69. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/think-helper/src/contract/Jsonable.php ( 0.13 KB )
  70. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/think-orm/src/model/contract/Modelable.php ( 0.09 KB )
  71. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/framework/src/think/Db.php ( 2.88 KB )
  72. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/think-orm/src/DbManager.php ( 8.52 KB )
  73. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/framework/src/think/Log.php ( 6.28 KB )
  74. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/framework/src/think/Manager.php ( 3.92 KB )
  75. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/psr/log/src/LoggerTrait.php ( 2.69 KB )
  76. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/psr/log/src/LoggerInterface.php ( 2.71 KB )
  77. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/framework/src/think/Cache.php ( 4.92 KB )
  78. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/psr/simple-cache/src/CacheInterface.php ( 4.71 KB )
  79. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/think-helper/src/helper/Arr.php ( 16.63 KB )
  80. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/framework/src/think/cache/driver/File.php ( 7.84 KB )
  81. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/framework/src/think/cache/Driver.php ( 9.03 KB )
  82. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/framework/src/think/contract/CacheHandlerInterface.php ( 1.99 KB )
  83. /yingpanguazai/ssd/ssd1/www/c.67808.cn/app/Request.php ( 0.09 KB )
  84. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/framework/src/think/Request.php ( 55.78 KB )
  85. /yingpanguazai/ssd/ssd1/www/c.67808.cn/app/middleware.php ( 0.25 KB )
  86. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/framework/src/think/Pipeline.php ( 2.61 KB )
  87. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/think-trace/src/TraceDebug.php ( 3.40 KB )
  88. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/framework/src/think/middleware/SessionInit.php ( 1.94 KB )
  89. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/framework/src/think/Session.php ( 1.80 KB )
  90. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/framework/src/think/session/driver/File.php ( 6.27 KB )
  91. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/framework/src/think/contract/SessionHandlerInterface.php ( 0.87 KB )
  92. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/framework/src/think/session/Store.php ( 7.12 KB )
  93. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/framework/src/think/Route.php ( 23.73 KB )
  94. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/framework/src/think/route/RuleName.php ( 5.75 KB )
  95. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/framework/src/think/route/Domain.php ( 2.53 KB )
  96. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/framework/src/think/route/RuleGroup.php ( 22.43 KB )
  97. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/framework/src/think/route/Rule.php ( 26.95 KB )
  98. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/framework/src/think/route/RuleItem.php ( 9.78 KB )
  99. /yingpanguazai/ssd/ssd1/www/c.67808.cn/route/app.php ( 1.72 KB )
  100. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/framework/src/think/facade/Route.php ( 4.70 KB )
  101. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/framework/src/think/route/dispatch/Controller.php ( 4.74 KB )
  102. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/framework/src/think/route/Dispatch.php ( 10.44 KB )
  103. /yingpanguazai/ssd/ssd1/www/c.67808.cn/app/controller/Index.php ( 4.81 KB )
  104. /yingpanguazai/ssd/ssd1/www/c.67808.cn/app/BaseController.php ( 2.05 KB )
  105. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/think-orm/src/facade/Db.php ( 0.93 KB )
  106. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/think-orm/src/db/connector/Mysql.php ( 5.44 KB )
  107. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/think-orm/src/db/PDOConnection.php ( 52.47 KB )
  108. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/think-orm/src/db/Connection.php ( 8.39 KB )
  109. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/think-orm/src/db/ConnectionInterface.php ( 4.57 KB )
  110. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/think-orm/src/db/builder/Mysql.php ( 16.58 KB )
  111. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/think-orm/src/db/Builder.php ( 24.06 KB )
  112. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/think-orm/src/db/BaseBuilder.php ( 27.50 KB )
  113. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/think-orm/src/db/Query.php ( 15.71 KB )
  114. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/think-orm/src/db/BaseQuery.php ( 45.13 KB )
  115. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/think-orm/src/db/concern/TimeFieldQuery.php ( 7.43 KB )
  116. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/think-orm/src/db/concern/AggregateQuery.php ( 3.26 KB )
  117. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/think-orm/src/db/concern/ModelRelationQuery.php ( 20.07 KB )
  118. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/think-orm/src/db/concern/ParamsBind.php ( 3.66 KB )
  119. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/think-orm/src/db/concern/ResultOperation.php ( 7.01 KB )
  120. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/think-orm/src/db/concern/WhereQuery.php ( 19.37 KB )
  121. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/think-orm/src/db/concern/JoinAndViewQuery.php ( 7.11 KB )
  122. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/think-orm/src/db/concern/TableFieldInfo.php ( 2.63 KB )
  123. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/think-orm/src/db/concern/Transaction.php ( 2.77 KB )
  124. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/framework/src/think/log/driver/File.php ( 5.96 KB )
  125. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/framework/src/think/contract/LogHandlerInterface.php ( 0.86 KB )
  126. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/framework/src/think/log/Channel.php ( 3.89 KB )
  127. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/framework/src/think/event/LogRecord.php ( 1.02 KB )
  128. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/think-helper/src/Collection.php ( 16.47 KB )
  129. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/framework/src/think/facade/View.php ( 1.70 KB )
  130. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/framework/src/think/View.php ( 4.39 KB )
  131. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/framework/src/think/Response.php ( 8.81 KB )
  132. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/framework/src/think/response/View.php ( 3.29 KB )
  133. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/framework/src/think/Cookie.php ( 6.06 KB )
  134. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/think-view/src/Think.php ( 8.38 KB )
  135. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/framework/src/think/contract/TemplateHandlerInterface.php ( 1.60 KB )
  136. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/think-template/src/Template.php ( 46.61 KB )
  137. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/think-template/src/template/driver/File.php ( 2.41 KB )
  138. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/think-template/src/template/contract/DriverInterface.php ( 0.86 KB )
  139. /yingpanguazai/ssd/ssd1/www/c.67808.cn/runtime/temp/26a2a97576a82b916863bb34f3ddddc8.php ( 12.06 KB )
  140. /yingpanguazai/ssd/ssd1/www/c.67808.cn/vendor/topthink/think-trace/src/Html.php ( 4.42 KB )
  1. CONNECT:[ UseTime:0.000415s ] mysql:host=127.0.0.1;port=3306;dbname=c_67808;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.001466s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000713s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.011231s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.001412s ]
  6. SELECT * FROM `set` [ RunTime:0.007988s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.001540s ]
  8. SELECT * FROM `article` WHERE `id` = 458447 LIMIT 1 [ RunTime:0.003377s ]
  9. UPDATE `article` SET `lasttime` = 1770857651 WHERE `id` = 458447 [ RunTime:0.010723s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 64 LIMIT 1 [ RunTime:0.001697s ]
  11. SELECT * FROM `article` WHERE `id` < 458447 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.002664s ]
  12. SELECT * FROM `article` WHERE `id` > 458447 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.009565s ]
  13. SELECT * FROM `article` WHERE `id` < 458447 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.005262s ]
  14. SELECT * FROM `article` WHERE `id` < 458447 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.002956s ]
  15. SELECT * FROM `article` WHERE `id` < 458447 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.004072s ]
0.153227s