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我给竞赛学生编写的数学讲义

  • 2026-11-07 08:12:36
我给竞赛学生编写的数学讲义
很多竞赛学生选用小蓝本作为教辅，
小蓝本这本书本身当然也是挺不错的，
不过它的难度比较大，特别是平面几何中的有些内容不太容易理解。

相比小蓝本，我编写的竞赛资料对题型的整理更加细致，上升的坡度更缓，答案更详细，更能照顾到学生的阅读感受。

我编写的内容不仅总体上由浅到深，

就是在每一个小专题的内部，每一个细节的安排，也都是由浅到深，环环相扣。

比如我总结的双切线模型

再比如多个外心问题。

我编写的内容受到一位家长的肯定，觉得可以帮孩子系统梳理知识点，一眼就能看出是很好的内容。
非常感谢您的认可。
我给自己编写的讲义专门设计了一个封面
本文来自网友投稿或网络内容，如有侵犯您的权益请联系我们删除，联系邮箱：wyl860211@qq.com 。

课件解析 | 心心相“硒”,守护健康 - 硒

基本 文件 流程 错误 SQL 调试
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  1. CONNECT:[ UseTime:0.000644s ] mysql:host=172.18.0.4;port=3306;dbname=a_sjds;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.000839s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000376s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000359s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.000508s ]
  6. SELECT * FROM `set` [ RunTime:0.000261s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.000638s ]
  8. SELECT * FROM `article` WHERE `id` = 461992 LIMIT 1 [ RunTime:0.000341s ]
  9. UPDATE `article` SET `lasttime` = 1794116304 WHERE `id` = 461992 [ RunTime:0.001345s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 65 LIMIT 1 [ RunTime:0.000300s ]
  11. SELECT * FROM `article` WHERE `id` < 461992 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.000431s ]
  12. SELECT * FROM `article` WHERE `id` > 461992 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.000355s ]
  13. SELECT * FROM `article` WHERE `id` < 461992 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.000468s ]
  14. SELECT * FROM `article` WHERE `id` < 461992 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.000468s ]
  15. SELECT * FROM `article` WHERE `id` < 461992 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.000538s ]
0.092845s