当前位置:首页>python>Python少儿编程-放羊趣事

Python少儿编程-放羊趣事

  • 2026-03-27 10:50:58
Python少儿编程-放羊趣事

想象知识更重要

编程能让想象变成现实

~Python少儿编程课堂来啦~

小朋友们,古人也会做“数学应用题”哦!而且还把题目写成了朗朗上口的词,超有创意~ 今天我们就来解锁明代数学家程大位《算法统宗》里的一道古算题,还用Python的“枚举法”,轻松算出甲乙两人各有多少只羊!

古人的苦恼

先来看这道超有韵味的古算题,用“西江月”词牌写成,读起来还朗朗上口:
甲乙隔沟放牧,二人暗里参详。

甲说得乙九个羊,多你一倍之上。

乙说得甲九只,两家之数相当。

两边闲坐恼心肠,画地算了半响。

哈哈,是不是有点绕?别急,翻译官上线,变成小朋友能看懂的大白话:

甲和乙隔着山沟放羊,俩人都在偷偷猜对方有多少只羊。甲说:“要是我能得到你9只羊,我的羊数就比你多一倍!”乙说:“要是我能得到你9只羊,咱们俩的羊数就一样多啦!”俩人坐在沟两边,愁得抓耳挠腮,在地上算半天,才算出答案~
小朋友们,你们能不能比古人更快算出答案?跟着Python,一起解锁“枚举法”这个解题神器吧!

拆拆拆,把难题变简单

要想用编程解题,第一步就是把“大难题”拆成“小积木”,一步步来,再难的题也能搞定!

01

任务分解:3步搞定放羊难题

第一步:找出题目里的“隐藏密码”(等量关系),把甲、乙的羊数和对话对应起来;

第二步:学会“枚举法”,像“排查嫌疑犯”一样,一个个试出甲、乙可能的羊数;

第三步:用Python写程序,让电脑自动枚举、验证,快速找到正确答案。

02

枚举法——笨办法,却超好用

小朋友们,你们有没有试过“猜数字”游戏?比如猜1-100之间的数,一个个试,直到猜中——这就是枚举法!枚举法就是:把所有可能的答案,一个个列出来,再一个个验证,符合条件的就是正确答案。它看似“笨笨的”,但思路简单、不容易出错,特别适合我们小朋友学习,电脑算得超快,再多答案也能秒验!结合这道题,我们先找“隐藏密码”(重点!):
  1. 设甲有x只羊,乙有y只羊;
  2. 乙说:“我得你9只,两家羊数相等” → 乙+9 = 甲-9 → y + 9 = x - 9(核心等式1);
  3. 甲说:“我得你9只,我的羊比你多一倍” → 甲+9 = 2×(乙-9) → x + 9 = 2×(y - 9)(核心等式2)。
我们只要枚举可能的x和y,满足这两个等式,就是正确答案啦

03

看清程序的“解题路线”

用简单的流程图,看看是怎么一步步枚举、找到答案的,就像看地图一样清晰~

小提醒:为什么x从30起?因为乙说“得甲9只就相等”,说明甲比乙多18只(x = y + 18),甲的羊数肯定不能太少,从30开始试,更快找到答案~

动手写代码,让电脑算答案

接下来就是最激动人心的环节!跟着注释写代码,电脑会自动枚举、验证,几秒钟就能算出甲乙各有多少只羊,比古人画地计算快多啦~:

# 少儿编程Python:用枚举法破解古算题(放羊难题)print("🐑 古算题解题程序启动!正在寻找甲乙的羊数...")# 枚举甲的羊数x(根据分析,甲比乙多18只,x至少30,最多设100即可,足够找到答案)for x inrange(30101):    # 根据乙的话,得出y = x - 18(乙得甲9只,两家相等 → y+9 = x-9 → y = x-18)    y = x - 18    # 验证甲的话:甲得乙9只,羊数是乙的2倍 → x+9 = 2*(y-9)    if x + 9 == 2 * (y - 9):        # 找到正确答案,打印结果        print(f"✅ 找到答案啦!")        print(f"甲有 {x} 只羊,乙有 {y} 只羊~")        # 找到答案后,退出循环,不用再枚举啦        breakprint("📝 验证一下:")print(f"甲得乙9只:{x+9} 只,乙剩 {y-9} 只,{x+9} 是 {y-9} 的2倍,符合甲的话!")print(f"乙得甲9只:{y+9} 只,甲剩 {x-9} 只,{y+9} 和 {x-9} 相等,符合乙的话!")

小朋友们,把这段代码复制到Python编辑器里,运行一下,看看电脑算出的答案是什么?是不是和你手动算的一样?

💡 运行结果揭秘:甲有63只羊,乙有45只羊!不信你验证一下:63+9=72,45-9=36,72是36的2倍;45+9=54,63-9=54,真的相等!

小拓展:枚举法的小妙用

小朋友们,枚举法不止能解这道古算题,生活中很多问题都能用它解决哦:

  • 猜数字游戏:电脑随机选一个数,你用枚举法一个个试,就能猜中;
  • 找因数:比如找100的所有因数,枚举1-100,能整除100的就是因数;
  • 简单密码破解:比如密码是1-1000之间的数,枚举所有可能,就能找到密码(不过可不能用来破解真密码哦~)
今天我们不仅读懂了一道有趣的古算题,还学会了Python里超实用的“枚举法”,是不是收获满满?
编程就是这样,把复杂的问题拆解开,用简单的方法一步步尝试,就能轻松搞定!

(文末彩蛋:关注我,少儿编程不迷路,每天进步一点点!)

最新文章

随机文章

基本 文件 流程 错误 SQL 调试
  1. 请求信息 : 2026-03-27 13:38:40 HTTP/2.0 GET : https://f.mffb.com.cn/a/483217.html
  2. 运行时间 : 0.212295s [ 吞吐率:4.71req/s ] 内存消耗:4,445.30kb 文件加载:140
  3. 缓存信息 : 0 reads,0 writes
  4. 会话信息 : SESSION_ID=718ff5975d14e9a238e5ad653636858d
  1. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/public/index.php ( 0.79 KB )
  2. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/autoload.php ( 0.17 KB )
  3. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/composer/autoload_real.php ( 2.49 KB )
  4. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/composer/platform_check.php ( 0.90 KB )
  5. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/composer/ClassLoader.php ( 14.03 KB )
  6. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/composer/autoload_static.php ( 4.90 KB )
  7. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/think-helper/src/helper.php ( 8.34 KB )
  8. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/think-validate/src/helper.php ( 2.19 KB )
  9. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/think-orm/src/helper.php ( 1.47 KB )
  10. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/think-orm/stubs/load_stubs.php ( 0.16 KB )
  11. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/framework/src/think/Exception.php ( 1.69 KB )
  12. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/think-container/src/Facade.php ( 2.71 KB )
  13. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/symfony/deprecation-contracts/function.php ( 0.99 KB )
  14. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/symfony/polyfill-mbstring/bootstrap.php ( 8.26 KB )
  15. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/symfony/polyfill-mbstring/bootstrap80.php ( 9.78 KB )
  16. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/symfony/var-dumper/Resources/functions/dump.php ( 1.49 KB )
  17. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/think-dumper/src/helper.php ( 0.18 KB )
  18. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/symfony/var-dumper/VarDumper.php ( 4.30 KB )
  19. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/framework/src/think/App.php ( 15.30 KB )
  20. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/think-container/src/Container.php ( 15.76 KB )
  21. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/psr/container/src/ContainerInterface.php ( 1.02 KB )
  22. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/app/provider.php ( 0.19 KB )
  23. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/framework/src/think/Http.php ( 6.04 KB )
  24. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/think-helper/src/helper/Str.php ( 7.29 KB )
  25. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/framework/src/think/Env.php ( 4.68 KB )
  26. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/app/common.php ( 0.03 KB )
  27. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/framework/src/helper.php ( 18.78 KB )
  28. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/framework/src/think/Config.php ( 5.54 KB )
  29. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/config/app.php ( 0.95 KB )
  30. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/config/cache.php ( 0.78 KB )
  31. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/config/console.php ( 0.23 KB )
  32. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/config/cookie.php ( 0.56 KB )
  33. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/config/database.php ( 2.48 KB )
  34. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/framework/src/think/facade/Env.php ( 1.67 KB )
  35. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/config/filesystem.php ( 0.61 KB )
  36. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/config/lang.php ( 0.91 KB )
  37. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/config/log.php ( 1.35 KB )
  38. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/config/middleware.php ( 0.19 KB )
  39. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/config/route.php ( 1.89 KB )
  40. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/config/session.php ( 0.57 KB )
  41. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/config/trace.php ( 0.34 KB )
  42. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/config/view.php ( 0.82 KB )
  43. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/app/event.php ( 0.25 KB )
  44. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/framework/src/think/Event.php ( 7.67 KB )
  45. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/app/service.php ( 0.13 KB )
  46. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/app/AppService.php ( 0.26 KB )
  47. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/framework/src/think/Service.php ( 1.64 KB )
  48. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/framework/src/think/Lang.php ( 7.35 KB )
  49. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/framework/src/lang/zh-cn.php ( 13.70 KB )
  50. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/framework/src/think/initializer/Error.php ( 3.31 KB )
  51. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/framework/src/think/initializer/RegisterService.php ( 1.33 KB )
  52. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/services.php ( 0.14 KB )
  53. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/framework/src/think/service/PaginatorService.php ( 1.52 KB )
  54. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/framework/src/think/service/ValidateService.php ( 0.99 KB )
  55. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/framework/src/think/service/ModelService.php ( 2.04 KB )
  56. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/think-trace/src/Service.php ( 0.77 KB )
  57. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/framework/src/think/Middleware.php ( 6.72 KB )
  58. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/framework/src/think/initializer/BootService.php ( 0.77 KB )
  59. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/think-orm/src/Paginator.php ( 11.86 KB )
  60. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/think-validate/src/Validate.php ( 63.20 KB )
  61. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/think-orm/src/Model.php ( 23.55 KB )
  62. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/think-orm/src/model/concern/Attribute.php ( 21.05 KB )
  63. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/think-orm/src/model/concern/AutoWriteData.php ( 4.21 KB )
  64. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/think-orm/src/model/concern/Conversion.php ( 6.44 KB )
  65. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/think-orm/src/model/concern/DbConnect.php ( 5.16 KB )
  66. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/think-orm/src/model/concern/ModelEvent.php ( 2.33 KB )
  67. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/think-orm/src/model/concern/RelationShip.php ( 28.29 KB )
  68. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/think-helper/src/contract/Arrayable.php ( 0.09 KB )
  69. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/think-helper/src/contract/Jsonable.php ( 0.13 KB )
  70. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/think-orm/src/model/contract/Modelable.php ( 0.09 KB )
  71. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/framework/src/think/Db.php ( 2.88 KB )
  72. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/think-orm/src/DbManager.php ( 8.52 KB )
  73. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/framework/src/think/Log.php ( 6.28 KB )
  74. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/framework/src/think/Manager.php ( 3.92 KB )
  75. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/psr/log/src/LoggerTrait.php ( 2.69 KB )
  76. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/psr/log/src/LoggerInterface.php ( 2.71 KB )
  77. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/framework/src/think/Cache.php ( 4.92 KB )
  78. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/psr/simple-cache/src/CacheInterface.php ( 4.71 KB )
  79. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/think-helper/src/helper/Arr.php ( 16.63 KB )
  80. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/framework/src/think/cache/driver/File.php ( 7.84 KB )
  81. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/framework/src/think/cache/Driver.php ( 9.03 KB )
  82. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/framework/src/think/contract/CacheHandlerInterface.php ( 1.99 KB )
  83. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/app/Request.php ( 0.09 KB )
  84. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/framework/src/think/Request.php ( 55.78 KB )
  85. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/app/middleware.php ( 0.25 KB )
  86. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/framework/src/think/Pipeline.php ( 2.61 KB )
  87. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/think-trace/src/TraceDebug.php ( 3.40 KB )
  88. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/framework/src/think/middleware/SessionInit.php ( 1.94 KB )
  89. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/framework/src/think/Session.php ( 1.80 KB )
  90. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/framework/src/think/session/driver/File.php ( 6.27 KB )
  91. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/framework/src/think/contract/SessionHandlerInterface.php ( 0.87 KB )
  92. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/framework/src/think/session/Store.php ( 7.12 KB )
  93. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/framework/src/think/Route.php ( 23.73 KB )
  94. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/framework/src/think/route/RuleName.php ( 5.75 KB )
  95. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/framework/src/think/route/Domain.php ( 2.53 KB )
  96. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/framework/src/think/route/RuleGroup.php ( 22.43 KB )
  97. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/framework/src/think/route/Rule.php ( 26.95 KB )
  98. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/framework/src/think/route/RuleItem.php ( 9.78 KB )
  99. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/route/app.php ( 1.72 KB )
  100. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/framework/src/think/facade/Route.php ( 4.70 KB )
  101. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/framework/src/think/route/dispatch/Controller.php ( 4.74 KB )
  102. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/framework/src/think/route/Dispatch.php ( 10.44 KB )
  103. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/app/controller/Index.php ( 4.81 KB )
  104. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/app/BaseController.php ( 2.05 KB )
  105. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/think-orm/src/facade/Db.php ( 0.93 KB )
  106. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/think-orm/src/db/connector/Mysql.php ( 5.44 KB )
  107. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/think-orm/src/db/PDOConnection.php ( 52.47 KB )
  108. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/think-orm/src/db/Connection.php ( 8.39 KB )
  109. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/think-orm/src/db/ConnectionInterface.php ( 4.57 KB )
  110. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/think-orm/src/db/builder/Mysql.php ( 16.58 KB )
  111. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/think-orm/src/db/Builder.php ( 24.06 KB )
  112. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/think-orm/src/db/BaseBuilder.php ( 27.50 KB )
  113. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/think-orm/src/db/Query.php ( 15.71 KB )
  114. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/think-orm/src/db/BaseQuery.php ( 45.13 KB )
  115. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/think-orm/src/db/concern/TimeFieldQuery.php ( 7.43 KB )
  116. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/think-orm/src/db/concern/AggregateQuery.php ( 3.26 KB )
  117. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/think-orm/src/db/concern/ModelRelationQuery.php ( 20.07 KB )
  118. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/think-orm/src/db/concern/ParamsBind.php ( 3.66 KB )
  119. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/think-orm/src/db/concern/ResultOperation.php ( 7.01 KB )
  120. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/think-orm/src/db/concern/WhereQuery.php ( 19.37 KB )
  121. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/think-orm/src/db/concern/JoinAndViewQuery.php ( 7.11 KB )
  122. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/think-orm/src/db/concern/TableFieldInfo.php ( 2.63 KB )
  123. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/think-orm/src/db/concern/Transaction.php ( 2.77 KB )
  124. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/framework/src/think/log/driver/File.php ( 5.96 KB )
  125. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/framework/src/think/contract/LogHandlerInterface.php ( 0.86 KB )
  126. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/framework/src/think/log/Channel.php ( 3.89 KB )
  127. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/framework/src/think/event/LogRecord.php ( 1.02 KB )
  128. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/think-helper/src/Collection.php ( 16.47 KB )
  129. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/framework/src/think/facade/View.php ( 1.70 KB )
  130. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/framework/src/think/View.php ( 4.39 KB )
  131. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/framework/src/think/Response.php ( 8.81 KB )
  132. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/framework/src/think/response/View.php ( 3.29 KB )
  133. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/framework/src/think/Cookie.php ( 6.06 KB )
  134. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/think-view/src/Think.php ( 8.38 KB )
  135. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/framework/src/think/contract/TemplateHandlerInterface.php ( 1.60 KB )
  136. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/think-template/src/Template.php ( 46.61 KB )
  137. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/think-template/src/template/driver/File.php ( 2.41 KB )
  138. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/think-template/src/template/contract/DriverInterface.php ( 0.86 KB )
  139. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/runtime/temp/067d451b9a0c665040f3f1bdd3293d68.php ( 11.98 KB )
  140. /yingpanguazai/ssd/ssd1/www/f.mffb.com.cn/vendor/topthink/think-trace/src/Html.php ( 4.42 KB )
  1. CONNECT:[ UseTime:0.000807s ] mysql:host=127.0.0.1;port=3306;dbname=f_mffb;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.000620s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000306s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000278s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.000520s ]
  6. SELECT * FROM `set` [ RunTime:0.000269s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.000586s ]
  8. SELECT * FROM `article` WHERE `id` = 483217 LIMIT 1 [ RunTime:0.009080s ]
  9. UPDATE `article` SET `lasttime` = 1774589921 WHERE `id` = 483217 [ RunTime:0.001263s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 66 LIMIT 1 [ RunTime:0.000229s ]
  11. SELECT * FROM `article` WHERE `id` < 483217 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.000509s ]
  12. SELECT * FROM `article` WHERE `id` > 483217 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.000457s ]
  13. SELECT * FROM `article` WHERE `id` < 483217 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.001251s ]
  14. SELECT * FROM `article` WHERE `id` < 483217 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.003898s ]
  15. SELECT * FROM `article` WHERE `id` < 483217 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.013959s ]
0.216494s