题目
题型:解答题难度:一般来源:不详
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032111-70882.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032112-62159.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032112-74033.png)
( 2) 判断并证明函数
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032112-76405.png)
(3)若对任意的
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032112-40771.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032112-22709.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032113-97592.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032113-89906.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032113-29724.png)
解析
试题分析:(1)根据奇函数定义有
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032113-82670.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032113-83781.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032114-66655.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032114-89546.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032114-65522.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032112-76405.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032114-14546.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032114-72138.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032115-98318.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032115-98928.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032115-98318.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032115-34441.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032115-99170.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032114-72138.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032111-70882.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032115-74471.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032116-30895.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032116-45299.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032116-28039.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032116-30895.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032116-45299.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032116-40695.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032116-79228.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032116-45299.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032113-29724.png)
解:
(1)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032117-42821.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032113-83781.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032117-53950.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032117-56059.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032114-65522.png)
(2)因为
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032114-14546.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032114-72138.png)
证明:设
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032115-98318.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032115-98928.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032115-98318.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032115-34441.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032115-99170.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032114-72138.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032111-70882.png)
(3)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032115-74471.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032116-30895.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032116-45299.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032116-28039.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032116-30895.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032116-45299.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032116-40695.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032116-79228.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032116-45299.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032113-29724.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032106-82595.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032106-17585.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032106-13861.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032107-94313.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032107-84028.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032107-68297.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032107-95801.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032105-23647.jpg)
A.(e,+∞) | B.(0,![]() |
C.(1,![]() | D.(-∞,![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032055-24296.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032056-69255.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032056-57798.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032056-68665.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032052-77332.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032053-80544.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032053-36366.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032052-77332.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032053-16224.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032052-77332.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818032053-79921.png)
A.增函数 | B.减函数 | C.先增后减的函数 | D.先减后增的函数 |
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