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一道“玩具”背景下试题的再思考

当前时间： 1970-01-01 08:00:00 分类：办公文件 评论(0)
一道“玩具”背景下试题的再思考

一道“玩具”背景下试题的再思考

2016年11月，带着全班同学参观了上海科技馆，看到双曲狭缝玩具模型；若干年后，又一次在数学备课组自编的期末复习卷上，遇见了玩具情境试题，勾起了我10年前的研学回忆，于是，写了这篇应用与建模类文章，2026年1月我投稿了~

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  144. /yingpanguazai/ssd/ssd1/www/wwww.yeyulingfeng.com/runtime/temp/c935550e3e8a3a4c27dd94e439343fdf.php ( 31.50 KB )
  145. /yingpanguazai/ssd/ssd1/www/wwww.yeyulingfeng.com/vendor/topthink/think-trace/src/Html.php ( 4.42 KB )
  1. CONNECT:[ UseTime:0.000672s ] mysql:host=127.0.0.1;port=3306;dbname=wenku;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.001056s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000542s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000386s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.000813s ]
  6. SELECT * FROM `set` [ RunTime:0.000237s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.000678s ]
  8. SELECT * FROM `article` WHERE `id` = 804143 LIMIT 1 [ RunTime:0.003154s ]
  9. UPDATE `article` SET `lasttime` = 1782480253 WHERE `id` = 804143 [ RunTime:0.019645s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 64 LIMIT 1 [ RunTime:0.006181s ]
  11. SELECT * FROM `article` WHERE `id` < 804143 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.000654s ]
  12. SELECT * FROM `article` WHERE `id` > 804143 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.000499s ]
  13. SELECT * FROM `article` WHERE `id` < 804143 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.000988s ]
  14. SELECT * FROM `article` WHERE `id` < 804143 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.001004s ]
  15. SELECT * FROM `article` WHERE `id` < 804143 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.016256s ]
0.161200s