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我给竞赛学生编写的数学讲义

2026-04-22 11:18:54

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 。

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SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.000710s ]
SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000315s ]
SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000255s ]
SHOW FULL COLUMNS FROM `set` [ RunTime:0.000497s ]
SELECT * FROM `set` [ RunTime:0.000211s ]
SHOW FULL COLUMNS FROM `article` [ RunTime:0.000558s ]
SELECT * FROM `article` WHERE `id` = 461992 LIMIT 1 [ RunTime:0.000552s ]
UPDATE `article` SET `lasttime` = 1776946858 WHERE `id` = 461992 [ RunTime:0.001983s ]
SELECT * FROM `fenlei` WHERE `id` = 65 LIMIT 1 [ RunTime:0.000277s ]
SELECT * FROM `article` WHERE `id` < 461992 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.000520s ]
SELECT * FROM `article` WHERE `id` > 461992 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.000396s ]
SELECT * FROM `article` WHERE `id` < 461992 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.000587s ]
SELECT * FROM `article` WHERE `id` < 461992 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.000649s ]
SELECT * FROM `article` WHERE `id` < 461992 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.000898s ]

0.078418s

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