当前位置:首页>考研资料>【纯干货】系统科学考研871运筹学理论与方法备考全扫盲!全网最全的871独家全套!记得收藏!

【纯干货】系统科学考研871运筹学理论与方法备考全扫盲!全网最全的871独家全套!记得收藏!

  • 2026-08-07 21:52:39
【纯干货】系统科学考研871运筹学理论与方法备考全扫盲!全网最全的871独家全套!记得收藏!

27考研er们,已经进入7月中下旬,大家是不是都进入备考的状态中了?虽然现在的公共课备考经验贴满天飞,但是专业课依旧让人存有困惑,尤其想考系统科学专业的同学,大部分都是跨考,对我们学校的考试要求了解不多。那么今天,北交大本校学长学姐就根据自己多年辅导经验,带大家扫开871运筹学理论与方法的备考盲区,一起进入高效专业课备考之旅!

考纲要求

北交大系统科学专业的初试专业课为871运筹学理论与方法,考纲具体内容如下:

同时,我们还会将本校赵鹏老师主编的《管理运筹学教程》电子书赠送给大家~

考试题型

大题应用题是主要题型,偶尔会出小题,包括:简答题,概念题,证明题等,一般会有一道论述题。

真题示例1
真题示例2

主要考点

🎉第一、二章:线性规划、对偶理论与灵敏度分析。合考一道大题,主要有单纯形法、大M法、两阶段法、单纯形法的矩阵描述、对偶单纯形法、灵敏度分析等;

💕第三章:运输问题。主要考表上作业法、产销不平衡运输问题的求解、与图论问题的结合等;

🚩第五章:整数规划。主要考分支定界法、割平面法、0-1整数规划建模、隐枚举法、指派问题等;

🎊第六章:动态规划。主要考静态规划问题的动态求解、一维离散型/连续型资源分配、生产与存储、设备更新问题等;

💎第七章:图论。主要考最小支撑树(三种方法)、最短路问题(三种方法)、布点问题(两种类型)、最大流问题、最小费用最大流问题、与运输问题的结合等;

💻第九章:排队论。主要考单服务台负指数分布排队系统,多服务台考察概率极小。

考研871运筹学理论与方法必备资料包括:

1、考研运筹学考纲知识点详解

2、指定教材课后题及详解

3、2010-2018、2022-2026共14年871真题及详解

4、本校04-26年期末月考题及详解(与真题同一题库

5、小题速成手册、教材、本校课件、考纲解析视频等(电子版)

知行者团队还为大家提供全程答疑!运筹学其实难度并不是很大,但是很多细节容易被忽略,因此造成卡壳很久的情况,但是有人点一下就能很快理解!知行者团队答疑班24小时全天在线,学霸秒答,3h内必答!引导跟进式答疑解惑,任何问题及时解决,学习不拖延!

使

✔️首先,第一阶段复习时,无论是跟课听还是自学,用到的复习题是咱们的《知识点详解》(可当基础讲义)《课后习题详解》,每学完一章就要做相应的课后习题

最晚应该在七月份之前完成。如果你开始得晚,可以找知行者学姐学长帮你一对一免费规划~

✔️其次,在完整地学完一个章节的大题内容或全书以后,使用我们本校的《期末月考题详解》进行系统性训练。可以按同类型大题进行练习,也可以按整套来刷题。但要求是一定要卡时间做,融会贯通地运用学到的知识,实现从“听懂课”到“会做题”的转变,并做好错题本。

最晚10月份之前完成

最后,真题考试要求一套一套地,按照考试时间来刷《历年真题详解》,做完一套定要注意复盘,查漏补缺!这个时候再去做题不能像对待练习题一样去完成,每一套都要严格按照标准当成是考试来做,才能达到效果;同时也要做好错题集。

最好11月底之前完成

✔️另外,同步紧跟模考安排8月~11月每月一次大型全真模拟考试,会按考试要求进行考试、阅卷、批改、讲解、打分和匿名排名,考试后可领取纸质版模考卷,考前也就是12月,做知行者冲刺模拟三套卷,会赠送标准答题纸,做最后的查漏补缺,回归课本,完成收尾阶段的复习。

以上就是详细的考研871运筹学理论与方法扫盲内容,如果还有其他问题,欢迎大家留言或联系我们学长学姐,免费咨询!预祝所有考研的同学都能心想事成,上岸梦校!

点击阅读原文即可购买知行者初试答疑班(包含上述所有资料哦!)

点击蓝字 关注我们

往期回顾:

知行者学姐VX:bjdzxzxj
知行者学姐:QQ3521566414
知行者官方微博:北交大知行者考研
小红书app搜索:北交大知行者考研
抖音搜索:知行者考研运筹学团队
知乎app搜索:北交大知行者考研
bilibili搜索:知行者考研运筹学团队
微博搜索:北交大知行者考研
运输&系科学院考研qq群群号:733277224
同学们有关专业课的问题可以随时联系知行者学长学姐~关注抖音与小红书账号获取更多知识点讲解和优惠活动!

最新文章

随机文章

基本 文件 流程 错误 SQL 调试
  1. 请求信息 : 2026-08-07 22:46:32 HTTP/2.0 GET : https://d.sjds.net/a/461980.html
  2. 运行时间 : 0.203093s [ 吞吐率:4.92req/s ] 内存消耗:4,768.15kb 文件加载:140
  3. 缓存信息 : 0 reads,0 writes
  4. 会话信息 : SESSION_ID=1dac5c8b765ea13424754023931713cd
  1. /yingpanguazai/ssd/ssd1/www/d.sjds.net/public/index.php ( 0.79 KB )
  2. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/autoload.php ( 0.17 KB )
  3. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/composer/autoload_real.php ( 2.49 KB )
  4. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/composer/platform_check.php ( 0.90 KB )
  5. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/composer/ClassLoader.php ( 14.03 KB )
  6. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/composer/autoload_static.php ( 4.90 KB )
  7. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/think-helper/src/helper.php ( 8.34 KB )
  8. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/think-validate/src/helper.php ( 2.19 KB )
  9. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/think-orm/src/helper.php ( 1.47 KB )
  10. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/think-orm/stubs/load_stubs.php ( 0.16 KB )
  11. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/framework/src/think/Exception.php ( 1.69 KB )
  12. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/think-container/src/Facade.php ( 2.71 KB )
  13. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/symfony/deprecation-contracts/function.php ( 0.99 KB )
  14. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/symfony/polyfill-mbstring/bootstrap.php ( 8.26 KB )
  15. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/symfony/polyfill-mbstring/bootstrap80.php ( 9.78 KB )
  16. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/symfony/var-dumper/Resources/functions/dump.php ( 1.49 KB )
  17. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/think-dumper/src/helper.php ( 0.18 KB )
  18. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/symfony/var-dumper/VarDumper.php ( 4.30 KB )
  19. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/framework/src/think/App.php ( 15.30 KB )
  20. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/think-container/src/Container.php ( 15.76 KB )
  21. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/psr/container/src/ContainerInterface.php ( 1.02 KB )
  22. /yingpanguazai/ssd/ssd1/www/d.sjds.net/app/provider.php ( 0.19 KB )
  23. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/framework/src/think/Http.php ( 6.04 KB )
  24. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/think-helper/src/helper/Str.php ( 7.29 KB )
  25. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/framework/src/think/Env.php ( 4.68 KB )
  26. /yingpanguazai/ssd/ssd1/www/d.sjds.net/app/common.php ( 0.03 KB )
  27. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/framework/src/helper.php ( 18.78 KB )
  28. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/framework/src/think/Config.php ( 5.54 KB )
  29. /yingpanguazai/ssd/ssd1/www/d.sjds.net/config/app.php ( 0.95 KB )
  30. /yingpanguazai/ssd/ssd1/www/d.sjds.net/config/cache.php ( 0.78 KB )
  31. /yingpanguazai/ssd/ssd1/www/d.sjds.net/config/console.php ( 0.23 KB )
  32. /yingpanguazai/ssd/ssd1/www/d.sjds.net/config/cookie.php ( 0.56 KB )
  33. /yingpanguazai/ssd/ssd1/www/d.sjds.net/config/database.php ( 2.48 KB )
  34. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/framework/src/think/facade/Env.php ( 1.67 KB )
  35. /yingpanguazai/ssd/ssd1/www/d.sjds.net/config/filesystem.php ( 0.61 KB )
  36. /yingpanguazai/ssd/ssd1/www/d.sjds.net/config/lang.php ( 0.91 KB )
  37. /yingpanguazai/ssd/ssd1/www/d.sjds.net/config/log.php ( 1.35 KB )
  38. /yingpanguazai/ssd/ssd1/www/d.sjds.net/config/middleware.php ( 0.19 KB )
  39. /yingpanguazai/ssd/ssd1/www/d.sjds.net/config/route.php ( 1.89 KB )
  40. /yingpanguazai/ssd/ssd1/www/d.sjds.net/config/session.php ( 0.57 KB )
  41. /yingpanguazai/ssd/ssd1/www/d.sjds.net/config/trace.php ( 0.34 KB )
  42. /yingpanguazai/ssd/ssd1/www/d.sjds.net/config/view.php ( 0.82 KB )
  43. /yingpanguazai/ssd/ssd1/www/d.sjds.net/app/event.php ( 0.25 KB )
  44. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/framework/src/think/Event.php ( 7.67 KB )
  45. /yingpanguazai/ssd/ssd1/www/d.sjds.net/app/service.php ( 0.13 KB )
  46. /yingpanguazai/ssd/ssd1/www/d.sjds.net/app/AppService.php ( 0.26 KB )
  47. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/framework/src/think/Service.php ( 1.64 KB )
  48. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/framework/src/think/Lang.php ( 7.35 KB )
  49. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/framework/src/lang/zh-cn.php ( 13.70 KB )
  50. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/framework/src/think/initializer/Error.php ( 3.31 KB )
  51. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/framework/src/think/initializer/RegisterService.php ( 1.33 KB )
  52. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/services.php ( 0.14 KB )
  53. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/framework/src/think/service/PaginatorService.php ( 1.52 KB )
  54. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/framework/src/think/service/ValidateService.php ( 0.99 KB )
  55. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/framework/src/think/service/ModelService.php ( 2.04 KB )
  56. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/think-trace/src/Service.php ( 0.77 KB )
  57. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/framework/src/think/Middleware.php ( 6.72 KB )
  58. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/framework/src/think/initializer/BootService.php ( 0.77 KB )
  59. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/think-orm/src/Paginator.php ( 11.86 KB )
  60. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/think-validate/src/Validate.php ( 63.20 KB )
  61. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/think-orm/src/Model.php ( 23.55 KB )
  62. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/think-orm/src/model/concern/Attribute.php ( 21.05 KB )
  63. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/think-orm/src/model/concern/AutoWriteData.php ( 4.21 KB )
  64. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/think-orm/src/model/concern/Conversion.php ( 6.44 KB )
  65. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/think-orm/src/model/concern/DbConnect.php ( 5.16 KB )
  66. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/think-orm/src/model/concern/ModelEvent.php ( 2.33 KB )
  67. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/think-orm/src/model/concern/RelationShip.php ( 28.29 KB )
  68. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/think-helper/src/contract/Arrayable.php ( 0.09 KB )
  69. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/think-helper/src/contract/Jsonable.php ( 0.13 KB )
  70. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/think-orm/src/model/contract/Modelable.php ( 0.09 KB )
  71. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/framework/src/think/Db.php ( 2.88 KB )
  72. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/think-orm/src/DbManager.php ( 8.52 KB )
  73. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/framework/src/think/Log.php ( 6.28 KB )
  74. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/framework/src/think/Manager.php ( 3.92 KB )
  75. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/psr/log/src/LoggerTrait.php ( 2.69 KB )
  76. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/psr/log/src/LoggerInterface.php ( 2.71 KB )
  77. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/framework/src/think/Cache.php ( 4.92 KB )
  78. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/psr/simple-cache/src/CacheInterface.php ( 4.71 KB )
  79. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/think-helper/src/helper/Arr.php ( 16.63 KB )
  80. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/framework/src/think/cache/driver/File.php ( 7.84 KB )
  81. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/framework/src/think/cache/Driver.php ( 9.03 KB )
  82. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/framework/src/think/contract/CacheHandlerInterface.php ( 1.99 KB )
  83. /yingpanguazai/ssd/ssd1/www/d.sjds.net/app/Request.php ( 0.09 KB )
  84. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/framework/src/think/Request.php ( 55.78 KB )
  85. /yingpanguazai/ssd/ssd1/www/d.sjds.net/app/middleware.php ( 0.25 KB )
  86. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/framework/src/think/Pipeline.php ( 2.61 KB )
  87. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/think-trace/src/TraceDebug.php ( 3.40 KB )
  88. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/framework/src/think/middleware/SessionInit.php ( 1.94 KB )
  89. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/framework/src/think/Session.php ( 1.80 KB )
  90. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/framework/src/think/session/driver/File.php ( 6.27 KB )
  91. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/framework/src/think/contract/SessionHandlerInterface.php ( 0.87 KB )
  92. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/framework/src/think/session/Store.php ( 7.12 KB )
  93. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/framework/src/think/Route.php ( 23.73 KB )
  94. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/framework/src/think/route/RuleName.php ( 5.75 KB )
  95. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/framework/src/think/route/Domain.php ( 2.53 KB )
  96. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/framework/src/think/route/RuleGroup.php ( 22.43 KB )
  97. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/framework/src/think/route/Rule.php ( 26.95 KB )
  98. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/framework/src/think/route/RuleItem.php ( 9.78 KB )
  99. /yingpanguazai/ssd/ssd1/www/d.sjds.net/route/app.php ( 1.72 KB )
  100. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/framework/src/think/facade/Route.php ( 4.70 KB )
  101. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/framework/src/think/route/dispatch/Controller.php ( 4.74 KB )
  102. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/framework/src/think/route/Dispatch.php ( 10.44 KB )
  103. /yingpanguazai/ssd/ssd1/www/d.sjds.net/app/controller/Index.php ( 4.81 KB )
  104. /yingpanguazai/ssd/ssd1/www/d.sjds.net/app/BaseController.php ( 2.05 KB )
  105. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/think-orm/src/facade/Db.php ( 0.93 KB )
  106. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/think-orm/src/db/connector/Mysql.php ( 5.44 KB )
  107. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/think-orm/src/db/PDOConnection.php ( 52.47 KB )
  108. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/think-orm/src/db/Connection.php ( 8.39 KB )
  109. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/think-orm/src/db/ConnectionInterface.php ( 4.57 KB )
  110. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/think-orm/src/db/builder/Mysql.php ( 16.58 KB )
  111. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/think-orm/src/db/Builder.php ( 24.06 KB )
  112. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/think-orm/src/db/BaseBuilder.php ( 27.50 KB )
  113. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/think-orm/src/db/Query.php ( 15.71 KB )
  114. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/think-orm/src/db/BaseQuery.php ( 45.13 KB )
  115. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/think-orm/src/db/concern/TimeFieldQuery.php ( 7.43 KB )
  116. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/think-orm/src/db/concern/AggregateQuery.php ( 3.26 KB )
  117. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/think-orm/src/db/concern/ModelRelationQuery.php ( 20.07 KB )
  118. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/think-orm/src/db/concern/ParamsBind.php ( 3.66 KB )
  119. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/think-orm/src/db/concern/ResultOperation.php ( 7.01 KB )
  120. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/think-orm/src/db/concern/WhereQuery.php ( 19.37 KB )
  121. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/think-orm/src/db/concern/JoinAndViewQuery.php ( 7.11 KB )
  122. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/think-orm/src/db/concern/TableFieldInfo.php ( 2.63 KB )
  123. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/think-orm/src/db/concern/Transaction.php ( 2.77 KB )
  124. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/framework/src/think/log/driver/File.php ( 5.96 KB )
  125. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/framework/src/think/contract/LogHandlerInterface.php ( 0.86 KB )
  126. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/framework/src/think/log/Channel.php ( 3.89 KB )
  127. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/framework/src/think/event/LogRecord.php ( 1.02 KB )
  128. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/think-helper/src/Collection.php ( 16.47 KB )
  129. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/framework/src/think/facade/View.php ( 1.70 KB )
  130. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/framework/src/think/View.php ( 4.39 KB )
  131. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/framework/src/think/Response.php ( 8.81 KB )
  132. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/framework/src/think/response/View.php ( 3.29 KB )
  133. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/framework/src/think/Cookie.php ( 6.06 KB )
  134. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/think-view/src/Think.php ( 8.38 KB )
  135. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/framework/src/think/contract/TemplateHandlerInterface.php ( 1.60 KB )
  136. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/think-template/src/Template.php ( 46.61 KB )
  137. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/think-template/src/template/driver/File.php ( 2.41 KB )
  138. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/think-template/src/template/contract/DriverInterface.php ( 0.86 KB )
  139. /yingpanguazai/ssd/ssd1/www/d.sjds.net/runtime/temp/e33eebd30736cd52a48f85b61848d5aa.php ( 12.06 KB )
  140. /yingpanguazai/ssd/ssd1/www/d.sjds.net/vendor/topthink/think-trace/src/Html.php ( 4.42 KB )
  1. CONNECT:[ UseTime:0.001091s ] mysql:host=127.0.0.1;port=3306;dbname=d_sjds;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.001597s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000673s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000633s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.001284s ]
  6. SELECT * FROM `set` [ RunTime:0.000502s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.001479s ]
  8. SELECT * FROM `article` WHERE `id` = 461980 LIMIT 1 [ RunTime:0.001404s ]
  9. UPDATE `article` SET `lasttime` = 1786113992 WHERE `id` = 461980 [ RunTime:0.014667s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 65 LIMIT 1 [ RunTime:0.000674s ]
  11. SELECT * FROM `article` WHERE `id` < 461980 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.001151s ]
  12. SELECT * FROM `article` WHERE `id` > 461980 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.002438s ]
  13. SELECT * FROM `article` WHERE `id` < 461980 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.001798s ]
  14. SELECT * FROM `article` WHERE `id` < 461980 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.001717s ]
  15. SELECT * FROM `article` WHERE `id` < 461980 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.007688s ]
0.206811s