【题文】已知函数,若为奇函数,则_________。
【题文】已知函数,若为奇函数,则_________。
题型:难度:来源:
【题文】已知函数
![](http://img.shitiku.com.cn/uploads/allimg/20200328/20200328162611-35223.png)
,若
![](http://img.shitiku.com.cn/uploads/allimg/20200328/20200328162611-85633.png)
为奇函数,则
![](http://img.shitiku.com.cn/uploads/allimg/20200328/20200328162611-80611.png)
_________。
答案
【答案】0.5
解析
【解析】因为
![](http://img.shitiku.com.cn/uploads/allimg/20200328/20200328162612-52223.png)
的定义域为R,所以
![](http://img.shitiku.com.cn/uploads/allimg/20200328/20200328162612-78488.png)
,则
![](http://img.shitiku.com.cn/uploads/allimg/20200328/20200328162612-23338.png)
,可得
![](http://img.shitiku.com.cn/uploads/allimg/20200328/20200328162613-76789.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20200328/20200328162613-76789.png)
时,
![](http://img.shitiku.com.cn/uploads/allimg/20200328/20200328162613-20562.png)
,则
![](http://img.shitiku.com.cn/uploads/allimg/20200328/20200328162614-71714.png)
此时
![](http://img.shitiku.com.cn/uploads/allimg/20200328/20200328162612-52223.png)
为奇函数,符合条件,所以
![](http://img.shitiku.com.cn/uploads/allimg/20200328/20200328162613-76789.png)
举一反三
【题文】(本题满分12分)
(1)计算:
![](http://img.shitiku.com.cn/uploads/allimg/20200328/20200328162208-13934.png)
(2)计算:
![](http://img.shitiku.com.cn/uploads/allimg/20200328/20200328162208-73582.png)
【题文】化简
![](http://img.shitiku.com.cn/uploads/allimg/20200328/20200328162158-72406.png)
的结果是( )
【题文】已知
![](http://img.shitiku.com.cn/uploads/allimg/20200328/20200328162109-59924.png)
,则
a、b、c的大小关系是( )
【题文】函数
![](http://img.shitiku.com.cn/uploads/allimg/20200328/20200328162102-25968.png)
的定义域是( )
【题文】已知函数
![](http://img.shitiku.com.cn/uploads/allimg/20200328/20200328162035-82768.png)
,且
![](http://img.shitiku.com.cn/uploads/allimg/20200328/20200328162035-15658.png)
则a的取值范围是
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