当前位置:首页>防城港>笃学规范寒窗不负,研思践悟深耕致远——南宁市2026年高中数学“品质教研 深耕课堂”(四月)主题教研活动纪实

笃学规范寒窗不负,研思践悟深耕致远——南宁市2026年高中数学“品质教研 深耕课堂”(四月)主题教研活动纪实

  • 2026-06-09 20:41:36
笃学规范寒窗不负,研思践悟深耕致远——南宁市2026年高中数学“品质教研 深耕课堂”(四月)主题教研活动纪实

笃学规范寒窗不负

研思践悟深耕致远

南宁市2026年高中数学“品质教研 深耕课堂”(四月)主题教研活动纪实

春深四月研意浓,聚力赋能促成长!为深化高中数学课堂教学改革,聚焦解题思维培养与规范表达训练,推动核心素养落地生根,2026年4月16日下午,由南宁市教育科学研究所主办、南宁市第三十六中学(江南校区)承办的南宁市2026年高中数学“品质教研 深耕课堂”(四月)主题教研活动圆满落幕。

全市市区、县(市、区)各高中高二数学教师、南宁市高二数学中心组成员齐聚线上线下,在精彩课例的示范、干货满满的讲座、专家精准的引领中,共探教学提质路径,共话育人初心使命。本次活动由南宁市第三中学韦甜成老师主持,以 “课例展示 + 专题讲座” 为核心板块,层层递进、亮点纷呈,为全体参会教师献上了一场高质量的教研盛宴。

课例展示:双课共研育素养

01

章末复习:体系建构塑思维

南宁市第三十六中学(江南校区)孟凡英副校长率先带来章末复习课《基于核心素养的计数原理复习与思维建构 —— 以复习参考题 6 为例》。课堂上,孟老师以思维导图为串联,将分类加法、分步乘法计数原理、排列组合、二项式定理等核心知识有机整合,帮助学生搭建完整知识网络。

孟副校长通过典型例题拆解解题逻辑,重点渗透特殊问题优先法、捆绑法、插空法等实用方法,带领学生完整经历 “审题 —— 建模 —— 运算 —— 反思” 全过程,将复杂问题程序化、抽象思维具象化,引导学生从 “机械解题” 向 “理性思考” 转变,切实夯实数学运算、逻辑推理核心素养,为高中数学复习课教学提供了 “立足教材、聚焦思维、落实素养” 的优秀范例。

02

探究课堂:文化溯源育素养

南宁沛鸿民族中学杨嵘金老师带来的探究课《数学探究:杨辉三角的性质与应用》,以数学史为切入点,带领学生追溯杨辉三角的发展历程,在古今数学文化的交融中厚植文化自信。

课堂紧扣 “观察 —— 猜想 —— 证明 —— 应用” 主线,充分放手让学生自主探究杨辉三角的数字规律,推导组合数性质,再结合实际问题学以致用。整节课凸显学生主体地位,在自主探究与合作交流中,学生的数学抽象、逻辑推理素养得到有效提升,更真切感受到了数学的内在魅力与探究乐趣。

专题讲座:理论赋能促教学

1

思维培育:有序推理明方法

南宁市第三十六中学(江南校区)农燕老师结合孟副校长的复习课,带来专题讲座《有序思考・严谨推理:探究计数原理教学中程序化思维的培育路径》。她从研究意义、概念界定、实施策略、案例分析等维度,深入浅出解读了如何在计数原理教学中培育学生程序化思维。

农老师强调,通过 “理解运算对象 —— 探究运算思路 —— 设计运算程序 —— 规范运算表达” 四步闭环,能有效落实数学运算核心素养,为一线教师提供了可操作、可复制的教学思路。

2

课堂建构:深度探究践路径

南宁市第一中学彭静老师作《以数为媒,探道求真——数学探究课堂的深度建构与实践路径》专题分享。她围绕 “什么是数学探究活动、为何关注数学探究、探究课堂现状、探究活动设计与实施” 四大核心问题,结合杨嵘金老师的探究课,清晰梳理出数学探究课 “情境引入——观察实践——归纳猜想——推理论证——归纳总结——应用拓展” 的完整流程,为教师开展探究教学提供了清晰范式。

专家总结:把脉定向提质效

活动尾声,南宁市教育科学研究所教研员黎福庆老师作总结点评。黎老师从高中数学学科教学规律出发,高度肯定了本次活动 “课例与讲座呼应、理论与实践结合” 的教研设计,强调高中数学教学必须紧扣 “思维培养” 与 “规范表达” 两大核心,落实 “审题与翻译、策略探究、计划形成、规范表达、反思拓展” 五步解题模型,推动学生数学能力从 “解题” 向 “解决问题” 进阶。

针对高二数学教学,黎老师明确核心任务:高二是高中数学思想方法整合与能力进阶的关键阶段,需立足单元教学,强化知识间的内在关联,注重数学思维的系统性培养,为高三知识综合应用筑牢基础。同时,他强调,无论是复习课还是探究课,都需回归数学学科本质,引导学生理解知识本源、掌握思想方法,实现从 “知识习得” 到 “素养生成” 的转变。

笃行致远:深耕教研促提升

一场教研盛宴,一次思维碰撞,一番专业成长。本次主题教研活动紧扣高中数学教学核心,以课例为载体、以讲座为支撑、以专家引领为保障,精准破解了高二数学复习课、探究课教学中的重点难点问题,为全市高中数学教师搭建了 “交流思想、共享经验、共同提升” 的专业平台。

教研无止境,探索不停步。未来,南宁市高中数学教研团队将继续聚焦核心素养育人目标,深耕课堂教学、精研教学方法,持续探索解题思维培养与规范表达训练的有效路径,以高质量教研赋能高质量教学,助力南宁市高中数学教育教学水平稳步提升!

—END—

图片、文稿丨数学教研组

编辑丨李仕勤

一审一校丨包宏雪 凌  玲

二审二校丨李新剑

三审三校丨孟凡英

最新文章

随机文章

基本 文件 流程 错误 SQL 调试
  1. 请求信息 : 2026-06-10 12:28:45 HTTP/2.0 GET : https://d.460.net.cn/a/500071.html
  2. 运行时间 : 0.221609s [ 吞吐率:4.51req/s ] 内存消耗:4,489.44kb 文件加载:140
  3. 缓存信息 : 0 reads,0 writes
  4. 会话信息 : SESSION_ID=d03eba271ed6f326d20d86eff95c7c70
  1. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/public/index.php ( 0.79 KB )
  2. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/autoload.php ( 0.17 KB )
  3. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/composer/autoload_real.php ( 2.49 KB )
  4. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/composer/platform_check.php ( 0.90 KB )
  5. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/composer/ClassLoader.php ( 14.03 KB )
  6. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/composer/autoload_static.php ( 4.90 KB )
  7. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/think-helper/src/helper.php ( 8.34 KB )
  8. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/think-validate/src/helper.php ( 2.19 KB )
  9. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/think-orm/src/helper.php ( 1.47 KB )
  10. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/think-orm/stubs/load_stubs.php ( 0.16 KB )
  11. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/framework/src/think/Exception.php ( 1.69 KB )
  12. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/think-container/src/Facade.php ( 2.71 KB )
  13. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/symfony/deprecation-contracts/function.php ( 0.99 KB )
  14. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/symfony/polyfill-mbstring/bootstrap.php ( 8.26 KB )
  15. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/symfony/polyfill-mbstring/bootstrap80.php ( 9.78 KB )
  16. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/symfony/var-dumper/Resources/functions/dump.php ( 1.49 KB )
  17. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/think-dumper/src/helper.php ( 0.18 KB )
  18. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/symfony/var-dumper/VarDumper.php ( 4.30 KB )
  19. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/framework/src/think/App.php ( 15.30 KB )
  20. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/think-container/src/Container.php ( 15.76 KB )
  21. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/psr/container/src/ContainerInterface.php ( 1.02 KB )
  22. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/app/provider.php ( 0.19 KB )
  23. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/framework/src/think/Http.php ( 6.04 KB )
  24. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/think-helper/src/helper/Str.php ( 7.29 KB )
  25. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/framework/src/think/Env.php ( 4.68 KB )
  26. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/app/common.php ( 0.03 KB )
  27. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/framework/src/helper.php ( 18.78 KB )
  28. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/framework/src/think/Config.php ( 5.54 KB )
  29. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/config/app.php ( 0.95 KB )
  30. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/config/cache.php ( 0.78 KB )
  31. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/config/console.php ( 0.23 KB )
  32. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/config/cookie.php ( 0.56 KB )
  33. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/config/database.php ( 2.47 KB )
  34. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/framework/src/think/facade/Env.php ( 1.67 KB )
  35. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/config/filesystem.php ( 0.61 KB )
  36. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/config/lang.php ( 0.91 KB )
  37. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/config/log.php ( 1.35 KB )
  38. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/config/middleware.php ( 0.19 KB )
  39. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/config/route.php ( 1.89 KB )
  40. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/config/session.php ( 0.57 KB )
  41. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/config/trace.php ( 0.34 KB )
  42. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/config/view.php ( 0.82 KB )
  43. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/app/event.php ( 0.25 KB )
  44. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/framework/src/think/Event.php ( 7.67 KB )
  45. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/app/service.php ( 0.13 KB )
  46. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/app/AppService.php ( 0.26 KB )
  47. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/framework/src/think/Service.php ( 1.64 KB )
  48. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/framework/src/think/Lang.php ( 7.35 KB )
  49. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/framework/src/lang/zh-cn.php ( 13.70 KB )
  50. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/framework/src/think/initializer/Error.php ( 3.31 KB )
  51. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/framework/src/think/initializer/RegisterService.php ( 1.33 KB )
  52. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/services.php ( 0.14 KB )
  53. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/framework/src/think/service/PaginatorService.php ( 1.52 KB )
  54. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/framework/src/think/service/ValidateService.php ( 0.99 KB )
  55. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/framework/src/think/service/ModelService.php ( 2.04 KB )
  56. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/think-trace/src/Service.php ( 0.77 KB )
  57. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/framework/src/think/Middleware.php ( 6.72 KB )
  58. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/framework/src/think/initializer/BootService.php ( 0.77 KB )
  59. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/think-orm/src/Paginator.php ( 11.86 KB )
  60. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/think-validate/src/Validate.php ( 63.20 KB )
  61. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/think-orm/src/Model.php ( 23.55 KB )
  62. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/think-orm/src/model/concern/Attribute.php ( 21.05 KB )
  63. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/think-orm/src/model/concern/AutoWriteData.php ( 4.21 KB )
  64. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/think-orm/src/model/concern/Conversion.php ( 6.44 KB )
  65. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/think-orm/src/model/concern/DbConnect.php ( 5.16 KB )
  66. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/think-orm/src/model/concern/ModelEvent.php ( 2.33 KB )
  67. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/think-orm/src/model/concern/RelationShip.php ( 28.29 KB )
  68. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/think-helper/src/contract/Arrayable.php ( 0.09 KB )
  69. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/think-helper/src/contract/Jsonable.php ( 0.13 KB )
  70. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/think-orm/src/model/contract/Modelable.php ( 0.09 KB )
  71. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/framework/src/think/Db.php ( 2.88 KB )
  72. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/think-orm/src/DbManager.php ( 8.52 KB )
  73. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/framework/src/think/Log.php ( 6.28 KB )
  74. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/framework/src/think/Manager.php ( 3.92 KB )
  75. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/psr/log/src/LoggerTrait.php ( 2.69 KB )
  76. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/psr/log/src/LoggerInterface.php ( 2.71 KB )
  77. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/framework/src/think/Cache.php ( 4.92 KB )
  78. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/psr/simple-cache/src/CacheInterface.php ( 4.71 KB )
  79. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/think-helper/src/helper/Arr.php ( 16.63 KB )
  80. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/framework/src/think/cache/driver/File.php ( 7.84 KB )
  81. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/framework/src/think/cache/Driver.php ( 9.03 KB )
  82. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/framework/src/think/contract/CacheHandlerInterface.php ( 1.99 KB )
  83. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/app/Request.php ( 0.09 KB )
  84. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/framework/src/think/Request.php ( 55.78 KB )
  85. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/app/middleware.php ( 0.25 KB )
  86. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/framework/src/think/Pipeline.php ( 2.61 KB )
  87. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/think-trace/src/TraceDebug.php ( 3.40 KB )
  88. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/framework/src/think/middleware/SessionInit.php ( 1.94 KB )
  89. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/framework/src/think/Session.php ( 1.80 KB )
  90. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/framework/src/think/session/driver/File.php ( 6.27 KB )
  91. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/framework/src/think/contract/SessionHandlerInterface.php ( 0.87 KB )
  92. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/framework/src/think/session/Store.php ( 7.12 KB )
  93. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/framework/src/think/Route.php ( 23.73 KB )
  94. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/framework/src/think/route/RuleName.php ( 5.75 KB )
  95. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/framework/src/think/route/Domain.php ( 2.53 KB )
  96. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/framework/src/think/route/RuleGroup.php ( 22.43 KB )
  97. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/framework/src/think/route/Rule.php ( 26.95 KB )
  98. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/framework/src/think/route/RuleItem.php ( 9.78 KB )
  99. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/route/app.php ( 1.72 KB )
  100. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/framework/src/think/facade/Route.php ( 4.70 KB )
  101. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/framework/src/think/route/dispatch/Controller.php ( 4.74 KB )
  102. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/framework/src/think/route/Dispatch.php ( 10.44 KB )
  103. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/app/controller/Index.php ( 4.81 KB )
  104. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/app/BaseController.php ( 2.05 KB )
  105. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/think-orm/src/facade/Db.php ( 0.93 KB )
  106. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/think-orm/src/db/connector/Mysql.php ( 5.44 KB )
  107. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/think-orm/src/db/PDOConnection.php ( 52.47 KB )
  108. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/think-orm/src/db/Connection.php ( 8.39 KB )
  109. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/think-orm/src/db/ConnectionInterface.php ( 4.57 KB )
  110. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/think-orm/src/db/builder/Mysql.php ( 16.58 KB )
  111. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/think-orm/src/db/Builder.php ( 24.06 KB )
  112. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/think-orm/src/db/BaseBuilder.php ( 27.50 KB )
  113. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/think-orm/src/db/Query.php ( 15.71 KB )
  114. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/think-orm/src/db/BaseQuery.php ( 45.13 KB )
  115. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/think-orm/src/db/concern/TimeFieldQuery.php ( 7.43 KB )
  116. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/think-orm/src/db/concern/AggregateQuery.php ( 3.26 KB )
  117. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/think-orm/src/db/concern/ModelRelationQuery.php ( 20.07 KB )
  118. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/think-orm/src/db/concern/ParamsBind.php ( 3.66 KB )
  119. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/think-orm/src/db/concern/ResultOperation.php ( 7.01 KB )
  120. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/think-orm/src/db/concern/WhereQuery.php ( 19.37 KB )
  121. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/think-orm/src/db/concern/JoinAndViewQuery.php ( 7.11 KB )
  122. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/think-orm/src/db/concern/TableFieldInfo.php ( 2.63 KB )
  123. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/think-orm/src/db/concern/Transaction.php ( 2.77 KB )
  124. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/framework/src/think/log/driver/File.php ( 5.96 KB )
  125. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/framework/src/think/contract/LogHandlerInterface.php ( 0.86 KB )
  126. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/framework/src/think/log/Channel.php ( 3.89 KB )
  127. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/framework/src/think/event/LogRecord.php ( 1.02 KB )
  128. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/think-helper/src/Collection.php ( 16.47 KB )
  129. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/framework/src/think/facade/View.php ( 1.70 KB )
  130. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/framework/src/think/View.php ( 4.39 KB )
  131. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/framework/src/think/Response.php ( 8.81 KB )
  132. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/framework/src/think/response/View.php ( 3.29 KB )
  133. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/framework/src/think/Cookie.php ( 6.06 KB )
  134. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/think-view/src/Think.php ( 8.38 KB )
  135. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/framework/src/think/contract/TemplateHandlerInterface.php ( 1.60 KB )
  136. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/think-template/src/Template.php ( 46.61 KB )
  137. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/think-template/src/template/driver/File.php ( 2.41 KB )
  138. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/think-template/src/template/contract/DriverInterface.php ( 0.86 KB )
  139. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/runtime/temp/d9f0991a7dd66afa499551bd49d930d7.php ( 11.98 KB )
  140. /yingpanguazai/ssd/ssd1/www/d.460.net.cn/vendor/topthink/think-trace/src/Html.php ( 4.42 KB )
  1. CONNECT:[ UseTime:0.001011s ] mysql:host=127.0.0.1;port=3306;dbname=d460;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.001445s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000665s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000597s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.001391s ]
  6. SELECT * FROM `set` [ RunTime:0.000528s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.001486s ]
  8. SELECT * FROM `article` WHERE `id` = 500071 LIMIT 1 [ RunTime:0.001061s ]
  9. UPDATE `article` SET `lasttime` = 1781065725 WHERE `id` = 500071 [ RunTime:0.033039s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 64 LIMIT 1 [ RunTime:0.012939s ]
  11. SELECT * FROM `article` WHERE `id` < 500071 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.003100s ]
  12. SELECT * FROM `article` WHERE `id` > 500071 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.003061s ]
  13. SELECT * FROM `article` WHERE `id` < 500071 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.002132s ]
  14. SELECT * FROM `article` WHERE `id` < 500071 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.004356s ]
  15. SELECT * FROM `article` WHERE `id` < 500071 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.002001s ]
0.224640s