题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106085848-26817.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106085849-92277.png)
(2)用反证法证明:若
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106085849-52735.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106085849-89343.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106085849-57909.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106085849-38133.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106085849-52735.png)
答案
解析
试题分析:(1)综合法证明,实质先按分析法分析,再按综合法的写法.
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106085850-68804.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106085849-52735.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106085850-31378.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106085850-87726.png)
解:(1)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106085850-75072.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106085851-76790.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106085851-69547.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106085851-36092.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106085851-89576.png)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106085852-28201.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106085852-13689.png)
当且仅当
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106085852-52071.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106085852-13689.png)
(2)证明:假设
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106085849-52735.png)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106085853-64462.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106085853-41916.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106085853-72264.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106085853-91521.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106085854-52052.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106085854-68928.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106085854-29011.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106085854-29011.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106085831-33232.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106085831-78852.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106085831-33232.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106085831-30885.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106085832-65593.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106085832-88325.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106085832-81443.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106085832-89086.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106085832-62681.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106085833-21619.png)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106085833-43059.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106085833-55673.png)
(3)当
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106085833-34904.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106085834-62581.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106085834-20991.png)
①
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106085825-29656.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106085825-29522.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106085826-69591.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106085826-12821.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106085826-86021.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106085826-33936.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106085826-69591.png)
A.①②③ | B.③①② | C.①③② | D.②③① |
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106085822-38394.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106085822-32602.png)
A.a,b都能被5整除 | B.a,b都不能被5整除 |
C.a,b有一个能被5整除 | D.a,b有一个不能被5整除 |
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106085808-74615.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106085808-12361.png)
(2)已知
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106085808-13850.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106085808-44685.png)
求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106085809-55630.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106085800-72454.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106085801-53083.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106085801-21490.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106085801-62609.png)
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