当前位置:首页>python>【爬藤科研】用Python学习量子计算!

【爬藤科研】用Python学习量子计算!

  • 2026-02-03 00:39:21
【爬藤科研】用Python学习量子计算!

量子计算作为前沿科技领域的核心方向,以其超越经典计算的潜在效率,成为全球科研与产业界的关注焦点。但复杂的理论体系、抽象的量子力学原理,让许多爱好者望而却步,即便网络上资源繁杂,也难找到系统化的入门路径。本项目以“零门槛科普+实操教学”为核心,打造系列YouTube视频教程,打破量子计算的学习壁垒,带领学习者从基础入手,探索量子计算的核心奥秘,更通过Python编程与Google Collab IDE实操,让抽象理论落地为可验证的代码,兼具教育价值与创新意义。

潜在研究方向

    德意志算法的Python实现与效率验证:深入拆解德意志算法的核心逻辑,通过Python编程模拟对比,验证其在量子计算框架下相较于经典算法的效率优势?

    零门槛量子计算教学体系优化:探究视频教程的内容编排、实操演示节奏对不同基础学习者的接受度影响,优化教学逻辑以提升科普效果?

    量子算法的Python模拟拓展:基于教程核心思路,拓展其他经典量子算法(如量子傅里叶变换)的Python实现,丰富入门级实操案例库?

    适合学科方向的学生:

    这个项目非常适合对计算机科学、量子信息科学、软件工程、应用数学等领域感兴趣的学生。通过参与此项目,学生将深入掌握Python编程、量子算法基础、Google Collab工具使用等核心技能,同时能快速建立量子计算的知识框架,实现从理论认知到实操落地的完整学习闭环。

    本课题不仅展示了学生在前沿科技与编程教学交叉领域的创新能力,也为他们提供了“理论+实操+科普”的多元科研平台——融合量子力学、计算机编程与教育传播,帮助他们在学术和职业道路上开辟新天地。

    素研实验室一直致力于为学生提供创新性的科研项目,帮助他们在全球学术竞争中脱颖而出。我们坚信,通过在素研的科研培训,学生不仅能获得深厚的学术知识,还能培养出独立的研究能力和批判性思维,这些都将成为他们未来成功的关键。

    想要去美国名校读书的学子们,科研背景提升可是刚需!来素研找一个适合你的课题、名校学者教授带你做,一起探索吧。

    训练周期:12-16周,线上1对1灵活上课,名校学者做导师,手把手教你科研的技能和专业领域的知识。项目产出将会发表专业学术期刊(SCI,SSCI,Scopus)和国际学术会议例如IEEE,ASME。如果是高中生,我们也会推荐参与国际高中生科研比赛(ISEF,丘成桐)。

    素研

    往期精华文章

    素研实验室介绍

    2017年,一群热爱教育和创造的博士、博后、研究人员,怀揣着“让顶级资源触手可及”的教育理念,在麻省理工学院成立素研实验室。独创的教育模式和先进的教育理念,源源不断地吸引着来自麻省理工学院、斯坦福大学、伯克利大学、牛津大学、剑桥大学等世界顶级名校的学者,以及来自世界500强企业和硅谷独角兽公司的工业界研究人员。到如今,素研逐渐壮大成为世界学者联盟。

    尽管素研实验室在2020年才进入中国市场,但凭借大批杰出学者和科研人员的顶尖学术资源,以及丰富的工业界经验和英美精英社交网络,我们迅速赢得了清华大学、南方科技大学等国内顶级名校的青睐,并积极参与国内高等教育的创新和拓展工作。

    素研教研团队有着接轨国际的创新课题和教学研发能力,通过为学生量身定制科研课题,培养系统科研素养,掌握学科前沿动态,建立正确的科研思维逻辑框架不仅助力万千留学家庭的升学之路,更为促进青少年素质教育注入了全新力量。

    经过近三年的发展与积累,素研的教育网络已覆盖美国、英国、加拿大、北京、天津、深圳、广州、江苏、四川、湖北等全球几十个地区,未来素研将继续传递教育的薪火,把优质的教育资源和前沿科研机会带给更多中国学生。

    联系我们

    最新文章

    随机文章

    基本 文件 流程 错误 SQL 调试
    1. 请求信息 : 2026-02-08 02:55:50 HTTP/2.0 GET : https://f.mffb.com.cn/a/468719.html
    2. 运行时间 : 0.314670s [ 吞吐率:3.18req/s ] 内存消耗:4,614.76kb 文件加载:140
    3. 缓存信息 : 0 reads,0 writes
    4. 会话信息 : SESSION_ID=d4c7f7e69517bc04a632071b3475e8b5
    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:0.001213s ] mysql:host=127.0.0.1;port=3306;dbname=f_mffb;charset=utf8mb4
    2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.001685s ]
    3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.019507s ]
    4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.063184s ]
    5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.001506s ]
    6. SELECT * FROM `set` [ RunTime:0.004924s ]
    7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.001505s ]
    8. SELECT * FROM `article` WHERE `id` = 468719 LIMIT 1 [ RunTime:0.009258s ]
    9. UPDATE `article` SET `lasttime` = 1770490550 WHERE `id` = 468719 [ RunTime:0.005736s ]
    10. SELECT * FROM `fenlei` WHERE `id` = 66 LIMIT 1 [ RunTime:0.000347s ]
    11. SELECT * FROM `article` WHERE `id` < 468719 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.000533s ]
    12. SELECT * FROM `article` WHERE `id` > 468719 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.000606s ]
    13. SELECT * FROM `article` WHERE `id` < 468719 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.029961s ]
    14. SELECT * FROM `article` WHERE `id` < 468719 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.008894s ]
    15. SELECT * FROM `article` WHERE `id` < 468719 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.006320s ]
    0.316311s