当前位置:首页>PPT>《线段、射线与直线》教学设计逐字稿及PPT

《线段、射线与直线》教学设计逐字稿及PPT

  • 2026-04-01 10:40:45
《线段、射线与直线》教学设计逐字稿及PPT

一、导入

     同学们,首先我们先看几幅图片,你在图片上发现了什么?(看到了光线)

生活中不仅有光线,还有风筝线,电线,毛线,看老师也带来了一种线,这叫缝衣线,现在老师要拉直这根线,你能把这根线画下来吗?

学生画线。

二、新课

(一)认识线段

1、画线

老师也画下来,这是线的起点,这里是终点。为了让它看得更加清晰,现在我把这两个点着重加强一下。刚才我们看到的是生活中的线,现在我们画出来的是数学中的线,这条线叫做线段。

2、认识端点和线段

这两个点叫做线段的端点(板书)这个是端点A,这个是端点B。(板书)这条线段就读作:线段AB。请给你刚才画的线段也写上端点,并用字母表示出你的线段,你的字母可以与老师的不同。提问:你的线段读作什么?(线段CD、线段EF)

3、看图片,找线段

现在请同学们观察一下,在这幅图片上你看到了线段了吗?(电线上、单杠、双杠上,房屋、窗户、旗杆上面都有线段),现在我们把画面去掉,把我们找到的线段留下,请你观察,这些线段有什么特点?

学生观察后回答:都有两个端点(板书)形状都是直直的(板书)这些线段还有什么特点?这些线段有的长,有的短,我们可以量出这些线段的长度吗?可以测量出长度。(板书)

3、量长度

你画的这条线段长度是多少,请用直尺量一量,写在练习本上。交流:你的线段长度是几厘米?

4、生活中的线段

同学们线段其实就在我们的身边,请你找一找你在那里发现了线段呢?(桌子的边,黑板的边,数学书的一条边……)请你用手摸一摸,它的两个端点在哪里?和同桌交流一下。同学们你们真有一双数学家的眼睛,原来线段并不陌生,它就在我们的身边。

(二)认识射线1、出示激光灯同学们,瞧!这是什么?激光灯,它射出一条光线被障碍物挡住了,这条线就是一条线段。如果这条光线没有被障碍物挡住,一直延伸出去,请同学们闭上眼睛,想一想这条线无限延伸下去,没有阻挡,会到哪里呢? 好,请睁开眼睛,你来说,光线会到哪里?你的想象力可真丰富。

2、画射线你能把脑海中的这条线画出来吗?这条线有起点吗?有终点吗?请试着在练习本画一画。教师巡视:我选两位同学的,第一位同学的把线画到本子边,如果还有本子,他还会继续画下去。可是这位同学只画了这么一段,他们两个谁画的对呢?画的都对,只是数学是简洁的,我们只画这么一部分,就能代表,没的地方省略了,代表一直延伸。

3、射线的读作方法及特点老师也画出来,这种线叫做射线,我们观察射线有几个端点?1个端点,我们把这个端点叫作O点,(板书)选射线上任意一点作为A点,这条射线读作:射线OA,(板书)在读作的时候,我们就能听出哪是端点,先读的字母〇代表端点,后读的字母A 代表射线的方向。A是射线的端点吗?不是,A点在射线OA上,射线 OA 经过A点向前无限延伸。

那这条射线读作什么呢?

为什么要先读〇?对O点是端点,B点代表了射线OB的方向,请把你的射线用字母表示出来。
刚才我们在研究线段的时候分别从图形的形状、端点的个数、能否测量几个方面进行研究,那么接下来我们还从这几个方面来研究射线,你发现射线有哪些特点呢?根据学生的回答板书:射线直直的,一个端点,不可测量。
(三)认识直线1、孙悟空
看看这个是谁?他拥有一个什么样的神奇武器,金箍棒。这个武器有什么特点?可以无限向两端延伸,现在金箍棒可以看作一条线段,请同学们打开双臂,想象它在向两边无限延伸,没有阻挡。
2、画直线电脑演示线段无限延长,成为直线。这条线叫做直线(板书)。你能把这条直线画出来吗?(学生动手操作)教师同时在黑板画出直线。
师:直线有没有端点?(没有,这条直线经过了点A和点B,叫做直线 AB,直线也可以用小写字母L表示。
3、数学家大家看,这条线段向两端无限延伸,就得到什么?直线。数学家欧几里德 1800 多年在他的著作《几何原本》中说:如果一条线段向两端无限延长,将会得到一条直线。大家看,我们能量出直线的长度吗?直线有端点吗?(不能测量出它的长度,它没有端点,板书:直线,直直的,没有端点,无法测量。
4、举例在生活中你在明里见到过射线或直线,汽车的灯光是射线,激光灯的灯光是属于射线,太阳的光线是射线,生活中有没有直线呢?生活中没有直线,它只存在于想象的空间。
三、小结1、本节课我们学习了什么?板书课题:《线段射线与直线》
2、他们具有哪些特点呢?请同学们回忆本节课的内容,填表格。
3、汇报交流。
线段射线直线的特点。他们有什么相同点,又有什么不同点。
四、练习。

最新文章

随机文章

基本 文件 流程 错误 SQL 调试
  1. 请求信息 : 2026-04-07 04:32:32 HTTP/2.0 GET : https://h.sjds.net/a/472601.html
  2. 运行时间 : 0.217949s [ 吞吐率:4.59req/s ] 内存消耗:4,333.43kb 文件加载:140
  3. 缓存信息 : 0 reads,0 writes
  4. 会话信息 : SESSION_ID=e2cd07dd8765b5368e9502ffaf82bc2e
  1. /yingpanguazai/ssd/ssd1/www/h.sjds.net/public/index.php ( 0.79 KB )
  2. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/autoload.php ( 0.17 KB )
  3. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/composer/autoload_real.php ( 2.49 KB )
  4. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/composer/platform_check.php ( 0.90 KB )
  5. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/composer/ClassLoader.php ( 14.03 KB )
  6. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/composer/autoload_static.php ( 4.90 KB )
  7. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/think-helper/src/helper.php ( 8.34 KB )
  8. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/think-validate/src/helper.php ( 2.19 KB )
  9. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/think-orm/src/helper.php ( 1.47 KB )
  10. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/think-orm/stubs/load_stubs.php ( 0.16 KB )
  11. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/framework/src/think/Exception.php ( 1.69 KB )
  12. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/think-container/src/Facade.php ( 2.71 KB )
  13. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/symfony/deprecation-contracts/function.php ( 0.99 KB )
  14. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/symfony/polyfill-mbstring/bootstrap.php ( 8.26 KB )
  15. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/symfony/polyfill-mbstring/bootstrap80.php ( 9.78 KB )
  16. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/symfony/var-dumper/Resources/functions/dump.php ( 1.49 KB )
  17. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/think-dumper/src/helper.php ( 0.18 KB )
  18. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/symfony/var-dumper/VarDumper.php ( 4.30 KB )
  19. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/framework/src/think/App.php ( 15.30 KB )
  20. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/think-container/src/Container.php ( 15.76 KB )
  21. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/psr/container/src/ContainerInterface.php ( 1.02 KB )
  22. /yingpanguazai/ssd/ssd1/www/h.sjds.net/app/provider.php ( 0.19 KB )
  23. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/framework/src/think/Http.php ( 6.04 KB )
  24. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/think-helper/src/helper/Str.php ( 7.29 KB )
  25. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/framework/src/think/Env.php ( 4.68 KB )
  26. /yingpanguazai/ssd/ssd1/www/h.sjds.net/app/common.php ( 0.03 KB )
  27. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/framework/src/helper.php ( 18.78 KB )
  28. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/framework/src/think/Config.php ( 5.54 KB )
  29. /yingpanguazai/ssd/ssd1/www/h.sjds.net/config/app.php ( 0.95 KB )
  30. /yingpanguazai/ssd/ssd1/www/h.sjds.net/config/cache.php ( 0.78 KB )
  31. /yingpanguazai/ssd/ssd1/www/h.sjds.net/config/console.php ( 0.23 KB )
  32. /yingpanguazai/ssd/ssd1/www/h.sjds.net/config/cookie.php ( 0.56 KB )
  33. /yingpanguazai/ssd/ssd1/www/h.sjds.net/config/database.php ( 2.48 KB )
  34. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/framework/src/think/facade/Env.php ( 1.67 KB )
  35. /yingpanguazai/ssd/ssd1/www/h.sjds.net/config/filesystem.php ( 0.61 KB )
  36. /yingpanguazai/ssd/ssd1/www/h.sjds.net/config/lang.php ( 0.91 KB )
  37. /yingpanguazai/ssd/ssd1/www/h.sjds.net/config/log.php ( 1.35 KB )
  38. /yingpanguazai/ssd/ssd1/www/h.sjds.net/config/middleware.php ( 0.19 KB )
  39. /yingpanguazai/ssd/ssd1/www/h.sjds.net/config/route.php ( 1.89 KB )
  40. /yingpanguazai/ssd/ssd1/www/h.sjds.net/config/session.php ( 0.57 KB )
  41. /yingpanguazai/ssd/ssd1/www/h.sjds.net/config/trace.php ( 0.34 KB )
  42. /yingpanguazai/ssd/ssd1/www/h.sjds.net/config/view.php ( 0.82 KB )
  43. /yingpanguazai/ssd/ssd1/www/h.sjds.net/app/event.php ( 0.25 KB )
  44. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/framework/src/think/Event.php ( 7.67 KB )
  45. /yingpanguazai/ssd/ssd1/www/h.sjds.net/app/service.php ( 0.13 KB )
  46. /yingpanguazai/ssd/ssd1/www/h.sjds.net/app/AppService.php ( 0.26 KB )
  47. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/framework/src/think/Service.php ( 1.64 KB )
  48. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/framework/src/think/Lang.php ( 7.35 KB )
  49. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/framework/src/lang/zh-cn.php ( 13.70 KB )
  50. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/framework/src/think/initializer/Error.php ( 3.31 KB )
  51. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/framework/src/think/initializer/RegisterService.php ( 1.33 KB )
  52. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/services.php ( 0.14 KB )
  53. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/framework/src/think/service/PaginatorService.php ( 1.52 KB )
  54. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/framework/src/think/service/ValidateService.php ( 0.99 KB )
  55. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/framework/src/think/service/ModelService.php ( 2.04 KB )
  56. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/think-trace/src/Service.php ( 0.77 KB )
  57. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/framework/src/think/Middleware.php ( 6.72 KB )
  58. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/framework/src/think/initializer/BootService.php ( 0.77 KB )
  59. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/think-orm/src/Paginator.php ( 11.86 KB )
  60. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/think-validate/src/Validate.php ( 63.20 KB )
  61. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/think-orm/src/Model.php ( 23.55 KB )
  62. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/think-orm/src/model/concern/Attribute.php ( 21.05 KB )
  63. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/think-orm/src/model/concern/AutoWriteData.php ( 4.21 KB )
  64. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/think-orm/src/model/concern/Conversion.php ( 6.44 KB )
  65. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/think-orm/src/model/concern/DbConnect.php ( 5.16 KB )
  66. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/think-orm/src/model/concern/ModelEvent.php ( 2.33 KB )
  67. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/think-orm/src/model/concern/RelationShip.php ( 28.29 KB )
  68. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/think-helper/src/contract/Arrayable.php ( 0.09 KB )
  69. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/think-helper/src/contract/Jsonable.php ( 0.13 KB )
  70. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/think-orm/src/model/contract/Modelable.php ( 0.09 KB )
  71. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/framework/src/think/Db.php ( 2.88 KB )
  72. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/think-orm/src/DbManager.php ( 8.52 KB )
  73. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/framework/src/think/Log.php ( 6.28 KB )
  74. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/framework/src/think/Manager.php ( 3.92 KB )
  75. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/psr/log/src/LoggerTrait.php ( 2.69 KB )
  76. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/psr/log/src/LoggerInterface.php ( 2.71 KB )
  77. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/framework/src/think/Cache.php ( 4.92 KB )
  78. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/psr/simple-cache/src/CacheInterface.php ( 4.71 KB )
  79. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/think-helper/src/helper/Arr.php ( 16.63 KB )
  80. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/framework/src/think/cache/driver/File.php ( 7.84 KB )
  81. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/framework/src/think/cache/Driver.php ( 9.03 KB )
  82. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/framework/src/think/contract/CacheHandlerInterface.php ( 1.99 KB )
  83. /yingpanguazai/ssd/ssd1/www/h.sjds.net/app/Request.php ( 0.09 KB )
  84. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/framework/src/think/Request.php ( 55.78 KB )
  85. /yingpanguazai/ssd/ssd1/www/h.sjds.net/app/middleware.php ( 0.25 KB )
  86. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/framework/src/think/Pipeline.php ( 2.61 KB )
  87. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/think-trace/src/TraceDebug.php ( 3.40 KB )
  88. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/framework/src/think/middleware/SessionInit.php ( 1.94 KB )
  89. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/framework/src/think/Session.php ( 1.80 KB )
  90. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/framework/src/think/session/driver/File.php ( 6.27 KB )
  91. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/framework/src/think/contract/SessionHandlerInterface.php ( 0.87 KB )
  92. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/framework/src/think/session/Store.php ( 7.12 KB )
  93. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/framework/src/think/Route.php ( 23.73 KB )
  94. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/framework/src/think/route/RuleName.php ( 5.75 KB )
  95. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/framework/src/think/route/Domain.php ( 2.53 KB )
  96. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/framework/src/think/route/RuleGroup.php ( 22.43 KB )
  97. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/framework/src/think/route/Rule.php ( 26.95 KB )
  98. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/framework/src/think/route/RuleItem.php ( 9.78 KB )
  99. /yingpanguazai/ssd/ssd1/www/h.sjds.net/route/app.php ( 1.72 KB )
  100. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/framework/src/think/facade/Route.php ( 4.70 KB )
  101. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/framework/src/think/route/dispatch/Controller.php ( 4.74 KB )
  102. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/framework/src/think/route/Dispatch.php ( 10.44 KB )
  103. /yingpanguazai/ssd/ssd1/www/h.sjds.net/app/controller/Index.php ( 4.81 KB )
  104. /yingpanguazai/ssd/ssd1/www/h.sjds.net/app/BaseController.php ( 2.05 KB )
  105. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/think-orm/src/facade/Db.php ( 0.93 KB )
  106. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/think-orm/src/db/connector/Mysql.php ( 5.44 KB )
  107. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/think-orm/src/db/PDOConnection.php ( 52.47 KB )
  108. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/think-orm/src/db/Connection.php ( 8.39 KB )
  109. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/think-orm/src/db/ConnectionInterface.php ( 4.57 KB )
  110. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/think-orm/src/db/builder/Mysql.php ( 16.58 KB )
  111. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/think-orm/src/db/Builder.php ( 24.06 KB )
  112. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/think-orm/src/db/BaseBuilder.php ( 27.50 KB )
  113. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/think-orm/src/db/Query.php ( 15.71 KB )
  114. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/think-orm/src/db/BaseQuery.php ( 45.13 KB )
  115. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/think-orm/src/db/concern/TimeFieldQuery.php ( 7.43 KB )
  116. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/think-orm/src/db/concern/AggregateQuery.php ( 3.26 KB )
  117. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/think-orm/src/db/concern/ModelRelationQuery.php ( 20.07 KB )
  118. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/think-orm/src/db/concern/ParamsBind.php ( 3.66 KB )
  119. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/think-orm/src/db/concern/ResultOperation.php ( 7.01 KB )
  120. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/think-orm/src/db/concern/WhereQuery.php ( 19.37 KB )
  121. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/think-orm/src/db/concern/JoinAndViewQuery.php ( 7.11 KB )
  122. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/think-orm/src/db/concern/TableFieldInfo.php ( 2.63 KB )
  123. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/think-orm/src/db/concern/Transaction.php ( 2.77 KB )
  124. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/framework/src/think/log/driver/File.php ( 5.96 KB )
  125. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/framework/src/think/contract/LogHandlerInterface.php ( 0.86 KB )
  126. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/framework/src/think/log/Channel.php ( 3.89 KB )
  127. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/framework/src/think/event/LogRecord.php ( 1.02 KB )
  128. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/think-helper/src/Collection.php ( 16.47 KB )
  129. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/framework/src/think/facade/View.php ( 1.70 KB )
  130. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/framework/src/think/View.php ( 4.39 KB )
  131. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/framework/src/think/Response.php ( 8.81 KB )
  132. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/framework/src/think/response/View.php ( 3.29 KB )
  133. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/framework/src/think/Cookie.php ( 6.06 KB )
  134. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/think-view/src/Think.php ( 8.38 KB )
  135. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/framework/src/think/contract/TemplateHandlerInterface.php ( 1.60 KB )
  136. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/think-template/src/Template.php ( 46.61 KB )
  137. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/think-template/src/template/driver/File.php ( 2.41 KB )
  138. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/think-template/src/template/contract/DriverInterface.php ( 0.86 KB )
  139. /yingpanguazai/ssd/ssd1/www/h.sjds.net/runtime/temp/ad153693ed39fba6d1bda2fe72512cde.php ( 12.06 KB )
  140. /yingpanguazai/ssd/ssd1/www/h.sjds.net/vendor/topthink/think-trace/src/Html.php ( 4.42 KB )
  1. CONNECT:[ UseTime:0.000988s ] mysql:host=127.0.0.1;port=3306;dbname=h_sjds;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.001906s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000805s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000740s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.001628s ]
  6. SELECT * FROM `set` [ RunTime:0.000600s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.001745s ]
  8. SELECT * FROM `article` WHERE `id` = 472601 LIMIT 1 [ RunTime:0.001302s ]
  9. UPDATE `article` SET `lasttime` = 1775507552 WHERE `id` = 472601 [ RunTime:0.023181s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 64 LIMIT 1 [ RunTime:0.000691s ]
  11. SELECT * FROM `article` WHERE `id` < 472601 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.001130s ]
  12. SELECT * FROM `article` WHERE `id` > 472601 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.002302s ]
  13. SELECT * FROM `article` WHERE `id` < 472601 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.006809s ]
  14. SELECT * FROM `article` WHERE `id` < 472601 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.002523s ]
  15. SELECT * FROM `article` WHERE `id` < 472601 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.012582s ]
0.221523s