当前位置:首页>恋爱>“数”说心语Vol.11|用数学公式解恋爱题·续集:写给大学生的恋爱微积分

“数”说心语Vol.11|用数学公式解恋爱题·续集:写给大学生的恋爱微积分

  • 2026-05-13 20:28:25
“数”说心语Vol.11|用数学公式解恋爱题·续集:写给大学生的恋爱微积分

✨ 当爱情迈入更深的区间

那些藏在数学里的温柔定律 ✨

看过上篇的恋爱基础定理,你是否已经懂得爱情的边界、成长与双向奔赴?

可步入恋爱的深层阶段,我们依然会困惑:热情褪去该如何维系?感情出现矛盾该如何化解?长久的陪伴又该如何定义?

其实爱情的修行,就像数学的进阶演算。基础公式守护初心,进阶定理维系长久。继续用数学+心理学,解锁大学生恋爱的高阶答案。

1.

热恋是指数函数,平淡是对数函数

数学原理:指数函数增长迅猛,短期爆发力极强;对数函数增长缓慢,却能长久平稳延伸。

心理学对应:情感保鲜理论

心动初期的爱意如同指数爆炸,满眼都是对方的闪光点,热烈又冲动。但没有人能永远维持高强度的热情,当感情进入平稳期,就会切换为对数函数的节奏。

很多人误以为平淡就是不爱,却不知指数的绚烂是开端,对数的绵长才是归宿。真正的爱情,能接受从轰轰烈烈到细水长流的函数转换。

金句:热烈的一见钟情是本能,平淡的长久相守是修行。

2.

感情矛盾是极值点,而非函数终点

数学原理:函数的极值点是增减趋势的转折点,不代表整个函数的结束,经过调整依旧可以继续递增。

心理学对应:冲突修复理论

恋爱里的争吵、分歧,就像函数图像里的极大值与极小值。很多同学遇到矛盾就想着放弃,误以为这段感情走到了尽头。

但极值点从来不是终点,而是感情的调整节点。妥善沟通、互相包容,跨过这个极值拐点,两个人的感情反而会迎来更好的上升区间。

金句:争吵是感情的转折点,不是爱情的终点站。

3.

自我牺牲是减函数,势均力敌是恒等变换

数学原理:单方面的妥协退让会让自身价值不断递减;而势均力敌的爱情,是彼此的恒等变换,价值始终保持平衡。

心理学对应:亲密关系平衡理论

一段感情里,如果只有一方不断迁就、压缩自己的生活,个人价值就会持续下降,变成单调递减函数。

健康的恋爱不该是一方的委曲求全,而是彼此的恒等变换。你保留你的光芒,我坚守我的棱角,两个人保持同等的高度,才能永远相配。

金句:好的爱情从不是一方迁就,而是两个人旗鼓相当。

4.

缘分是无穷级数,相爱是收敛证明

数学原理:世间的缘分如同无穷级数,看似杂乱无章无限蔓延;而双向的相爱,就是让零散的缘分完美收敛。

心理学对应:缘分沉淀理论

人海茫茫,我们会遇见无数人,就像无数发散的级数项,零散又偶然。

大多数人的缘分只会无限发散,最终渐行渐远;而真正相爱的两个人,会成为彼此的收敛条件,让所有的巧合、遇见和温柔,最终汇聚成一份稳定长久的感情。

金句:世间缘分千千万,唯有相爱能让星河为你收敛。

结语:

亲爱的同学们,

如果说上篇的数学定律,教会我们如何开启一段清醒的爱情;

那这些进阶的微积分定理,便是教会我们如何守护一份长久的热爱。

爱情就像一整套完整的数学习题,有基础选择,有进阶解答,没有永远一帆风顺的图像,也没有永远无解的难题。

希望正值青春的你,既能精通书本上的高等数学,也能读懂感情里的人生逻辑;

既能勇敢奔赴心动,也能理智守护自己,在大学的时光里,收获一份刚刚好的

往期推荐

//"数"说心语Vol.10 | 用数学公式解爱情题:写给大学生的恋爱微积分

策划|"数"说心语工作坊

排版|吴璟瑞

初审|杨灿 黄伟

复审|马玺

终审|罗玉华

最新文章

随机文章

基本 文件 流程 错误 SQL 调试
  1. 请求信息 : 2026-05-13 22:00:37 HTTP/2.0 GET : https://d.mffb.com.cn/a/511078.html
  2. 运行时间 : 0.096956s [ 吞吐率:10.31req/s ] 内存消耗:4,320.55kb 文件加载:140
  3. 缓存信息 : 0 reads,0 writes
  4. 会话信息 : SESSION_ID=00b1c8a010215528ca93bc25c19b2d08
  1. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/public/index.php ( 0.79 KB )
  2. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/autoload.php ( 0.17 KB )
  3. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/composer/autoload_real.php ( 2.49 KB )
  4. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/composer/platform_check.php ( 0.90 KB )
  5. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/composer/ClassLoader.php ( 14.03 KB )
  6. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/composer/autoload_static.php ( 4.90 KB )
  7. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/think-helper/src/helper.php ( 8.34 KB )
  8. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/think-validate/src/helper.php ( 2.19 KB )
  9. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/think-orm/src/helper.php ( 1.47 KB )
  10. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/think-orm/stubs/load_stubs.php ( 0.16 KB )
  11. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/framework/src/think/Exception.php ( 1.69 KB )
  12. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/think-container/src/Facade.php ( 2.71 KB )
  13. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/symfony/deprecation-contracts/function.php ( 0.99 KB )
  14. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/symfony/polyfill-mbstring/bootstrap.php ( 8.26 KB )
  15. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/symfony/polyfill-mbstring/bootstrap80.php ( 9.78 KB )
  16. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/symfony/var-dumper/Resources/functions/dump.php ( 1.49 KB )
  17. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/think-dumper/src/helper.php ( 0.18 KB )
  18. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/symfony/var-dumper/VarDumper.php ( 4.30 KB )
  19. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/framework/src/think/App.php ( 15.30 KB )
  20. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/think-container/src/Container.php ( 15.76 KB )
  21. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/psr/container/src/ContainerInterface.php ( 1.02 KB )
  22. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/app/provider.php ( 0.19 KB )
  23. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/framework/src/think/Http.php ( 6.04 KB )
  24. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/think-helper/src/helper/Str.php ( 7.29 KB )
  25. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/framework/src/think/Env.php ( 4.68 KB )
  26. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/app/common.php ( 0.03 KB )
  27. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/framework/src/helper.php ( 18.78 KB )
  28. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/framework/src/think/Config.php ( 5.54 KB )
  29. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/config/app.php ( 0.95 KB )
  30. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/config/cache.php ( 0.78 KB )
  31. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/config/console.php ( 0.23 KB )
  32. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/config/cookie.php ( 0.56 KB )
  33. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/config/database.php ( 2.48 KB )
  34. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/framework/src/think/facade/Env.php ( 1.67 KB )
  35. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/config/filesystem.php ( 0.61 KB )
  36. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/config/lang.php ( 0.91 KB )
  37. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/config/log.php ( 1.35 KB )
  38. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/config/middleware.php ( 0.19 KB )
  39. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/config/route.php ( 1.89 KB )
  40. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/config/session.php ( 0.57 KB )
  41. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/config/trace.php ( 0.34 KB )
  42. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/config/view.php ( 0.82 KB )
  43. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/app/event.php ( 0.25 KB )
  44. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/framework/src/think/Event.php ( 7.67 KB )
  45. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/app/service.php ( 0.13 KB )
  46. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/app/AppService.php ( 0.26 KB )
  47. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/framework/src/think/Service.php ( 1.64 KB )
  48. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/framework/src/think/Lang.php ( 7.35 KB )
  49. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/framework/src/lang/zh-cn.php ( 13.70 KB )
  50. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/framework/src/think/initializer/Error.php ( 3.31 KB )
  51. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/framework/src/think/initializer/RegisterService.php ( 1.33 KB )
  52. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/services.php ( 0.14 KB )
  53. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/framework/src/think/service/PaginatorService.php ( 1.52 KB )
  54. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/framework/src/think/service/ValidateService.php ( 0.99 KB )
  55. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/framework/src/think/service/ModelService.php ( 2.04 KB )
  56. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/think-trace/src/Service.php ( 0.77 KB )
  57. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/framework/src/think/Middleware.php ( 6.72 KB )
  58. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/framework/src/think/initializer/BootService.php ( 0.77 KB )
  59. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/think-orm/src/Paginator.php ( 11.86 KB )
  60. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/think-validate/src/Validate.php ( 63.20 KB )
  61. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/think-orm/src/Model.php ( 23.55 KB )
  62. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/think-orm/src/model/concern/Attribute.php ( 21.05 KB )
  63. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/think-orm/src/model/concern/AutoWriteData.php ( 4.21 KB )
  64. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/think-orm/src/model/concern/Conversion.php ( 6.44 KB )
  65. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/think-orm/src/model/concern/DbConnect.php ( 5.16 KB )
  66. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/think-orm/src/model/concern/ModelEvent.php ( 2.33 KB )
  67. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/think-orm/src/model/concern/RelationShip.php ( 28.29 KB )
  68. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/think-helper/src/contract/Arrayable.php ( 0.09 KB )
  69. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/think-helper/src/contract/Jsonable.php ( 0.13 KB )
  70. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/think-orm/src/model/contract/Modelable.php ( 0.09 KB )
  71. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/framework/src/think/Db.php ( 2.88 KB )
  72. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/think-orm/src/DbManager.php ( 8.52 KB )
  73. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/framework/src/think/Log.php ( 6.28 KB )
  74. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/framework/src/think/Manager.php ( 3.92 KB )
  75. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/psr/log/src/LoggerTrait.php ( 2.69 KB )
  76. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/psr/log/src/LoggerInterface.php ( 2.71 KB )
  77. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/framework/src/think/Cache.php ( 4.92 KB )
  78. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/psr/simple-cache/src/CacheInterface.php ( 4.71 KB )
  79. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/think-helper/src/helper/Arr.php ( 16.63 KB )
  80. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/framework/src/think/cache/driver/File.php ( 7.84 KB )
  81. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/framework/src/think/cache/Driver.php ( 9.03 KB )
  82. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/framework/src/think/contract/CacheHandlerInterface.php ( 1.99 KB )
  83. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/app/Request.php ( 0.09 KB )
  84. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/framework/src/think/Request.php ( 55.78 KB )
  85. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/app/middleware.php ( 0.25 KB )
  86. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/framework/src/think/Pipeline.php ( 2.61 KB )
  87. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/think-trace/src/TraceDebug.php ( 3.40 KB )
  88. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/framework/src/think/middleware/SessionInit.php ( 1.94 KB )
  89. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/framework/src/think/Session.php ( 1.80 KB )
  90. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/framework/src/think/session/driver/File.php ( 6.27 KB )
  91. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/framework/src/think/contract/SessionHandlerInterface.php ( 0.87 KB )
  92. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/framework/src/think/session/Store.php ( 7.12 KB )
  93. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/framework/src/think/Route.php ( 23.73 KB )
  94. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/framework/src/think/route/RuleName.php ( 5.75 KB )
  95. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/framework/src/think/route/Domain.php ( 2.53 KB )
  96. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/framework/src/think/route/RuleGroup.php ( 22.43 KB )
  97. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/framework/src/think/route/Rule.php ( 26.95 KB )
  98. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/framework/src/think/route/RuleItem.php ( 9.78 KB )
  99. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/route/app.php ( 1.72 KB )
  100. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/framework/src/think/facade/Route.php ( 4.70 KB )
  101. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/framework/src/think/route/dispatch/Controller.php ( 4.74 KB )
  102. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/framework/src/think/route/Dispatch.php ( 10.44 KB )
  103. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/app/controller/Index.php ( 4.81 KB )
  104. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/app/BaseController.php ( 2.05 KB )
  105. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/think-orm/src/facade/Db.php ( 0.93 KB )
  106. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/think-orm/src/db/connector/Mysql.php ( 5.44 KB )
  107. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/think-orm/src/db/PDOConnection.php ( 52.47 KB )
  108. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/think-orm/src/db/Connection.php ( 8.39 KB )
  109. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/think-orm/src/db/ConnectionInterface.php ( 4.57 KB )
  110. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/think-orm/src/db/builder/Mysql.php ( 16.58 KB )
  111. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/think-orm/src/db/Builder.php ( 24.06 KB )
  112. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/think-orm/src/db/BaseBuilder.php ( 27.50 KB )
  113. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/think-orm/src/db/Query.php ( 15.71 KB )
  114. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/think-orm/src/db/BaseQuery.php ( 45.13 KB )
  115. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/think-orm/src/db/concern/TimeFieldQuery.php ( 7.43 KB )
  116. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/think-orm/src/db/concern/AggregateQuery.php ( 3.26 KB )
  117. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/think-orm/src/db/concern/ModelRelationQuery.php ( 20.07 KB )
  118. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/think-orm/src/db/concern/ParamsBind.php ( 3.66 KB )
  119. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/think-orm/src/db/concern/ResultOperation.php ( 7.01 KB )
  120. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/think-orm/src/db/concern/WhereQuery.php ( 19.37 KB )
  121. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/think-orm/src/db/concern/JoinAndViewQuery.php ( 7.11 KB )
  122. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/think-orm/src/db/concern/TableFieldInfo.php ( 2.63 KB )
  123. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/think-orm/src/db/concern/Transaction.php ( 2.77 KB )
  124. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/framework/src/think/log/driver/File.php ( 5.96 KB )
  125. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/framework/src/think/contract/LogHandlerInterface.php ( 0.86 KB )
  126. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/framework/src/think/log/Channel.php ( 3.89 KB )
  127. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/framework/src/think/event/LogRecord.php ( 1.02 KB )
  128. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/think-helper/src/Collection.php ( 16.47 KB )
  129. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/framework/src/think/facade/View.php ( 1.70 KB )
  130. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/framework/src/think/View.php ( 4.39 KB )
  131. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/framework/src/think/Response.php ( 8.81 KB )
  132. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/framework/src/think/response/View.php ( 3.29 KB )
  133. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/framework/src/think/Cookie.php ( 6.06 KB )
  134. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/think-view/src/Think.php ( 8.38 KB )
  135. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/framework/src/think/contract/TemplateHandlerInterface.php ( 1.60 KB )
  136. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/think-template/src/Template.php ( 46.61 KB )
  137. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/think-template/src/template/driver/File.php ( 2.41 KB )
  138. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/think-template/src/template/contract/DriverInterface.php ( 0.86 KB )
  139. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/runtime/temp/7adeb6501d5fccfd859f1cc762ea4066.php ( 11.98 KB )
  140. /yingpanguazai/ssd/ssd1/www/d.mffb.com.cn/vendor/topthink/think-trace/src/Html.php ( 4.42 KB )
  1. CONNECT:[ UseTime:0.000514s ] mysql:host=127.0.0.1;port=3306;dbname=d_mffb;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.000721s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000292s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000296s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.000549s ]
  6. SELECT * FROM `set` [ RunTime:0.000195s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.000592s ]
  8. SELECT * FROM `article` WHERE `id` = 511078 LIMIT 1 [ RunTime:0.000428s ]
  9. UPDATE `article` SET `lasttime` = 1778680837 WHERE `id` = 511078 [ RunTime:0.016812s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 65 LIMIT 1 [ RunTime:0.000366s ]
  11. SELECT * FROM `article` WHERE `id` < 511078 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.000489s ]
  12. SELECT * FROM `article` WHERE `id` > 511078 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.001465s ]
  13. SELECT * FROM `article` WHERE `id` < 511078 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.004072s ]
  14. SELECT * FROM `article` WHERE `id` < 511078 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.002707s ]
  15. SELECT * FROM `article` WHERE `id` < 511078 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.000841s ]
0.098617s