【题文】设偶函数满足,则=( )
【题文】设偶函数满足,则=( )
题型:难度:来源:
答案
【答案】B
解析
【解析】因为
![](http://img.shitiku.com.cn/uploads/allimg/20200326/20200326235526-45756.png)
是偶函数,所以
![](http://img.shitiku.com.cn/uploads/allimg/20200326/20200326235528-47108.png)
时,
![](http://img.shitiku.com.cn/uploads/allimg/20200326/20200326235528-51329.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200326/20200326235528-55290.png)
,
即
![](http://img.shitiku.com.cn/uploads/allimg/20200326/20200326235529-10059.png)
,所以
![](http://img.shitiku.com.cn/uploads/allimg/20200326/20200326235529-68423.png)
,
解
![](http://img.shitiku.com.cn/uploads/allimg/20200326/20200326235529-46569.png)
即
![](http://img.shitiku.com.cn/uploads/allimg/20200326/20200326235530-42696.png)
或
![](http://img.shitiku.com.cn/uploads/allimg/20200326/20200326235530-94616.png)
得
![](http://img.shitiku.com.cn/uploads/allimg/20200326/20200326235528-47108.png)
或
![](http://img.shitiku.com.cn/uploads/allimg/20200326/20200326235530-50933.png)
,故选B。
举一反三
【题文】设
![](http://img.shitiku.com.cn/uploads/allimg/20200326/20200326235505-50596.png)
为定义域为R的奇函数,且
![](http://img.shitiku.com.cn/uploads/allimg/20200326/20200326235505-97174.png)
,那么下列五个判断
(1)
![](http://img.shitiku.com.cn/uploads/allimg/20200326/20200326235505-50596.png)
的一个周期为T=4 (2)
![](http://img.shitiku.com.cn/uploads/allimg/20200326/20200326235505-50596.png)
的图象关于直线x=1对称
(3)
![](http://img.shitiku.com.cn/uploads/allimg/20200326/20200326235505-22746.png)
(4)
![](http://img.shitiku.com.cn/uploads/allimg/20200326/20200326235505-22726.png)
(5)
![](http://img.shitiku.com.cn/uploads/allimg/20200326/20200326235506-52866.png)
,其中正确的个数有 ( )
【题文】函数
![](http://img.shitiku.com.cn/uploads/allimg/20200326/20200326235439-29128.gif)
是定义域为R的奇函数,当
![](http://img.shitiku.com.cn/uploads/allimg/20200326/20200326235440-60583.gif)
>0时,
![](http://img.shitiku.com.cn/uploads/allimg/20200326/20200326235439-29128.gif)
=-
![](http://img.shitiku.com.cn/uploads/allimg/20200326/20200326235440-60583.gif)
+1,则当
![](http://img.shitiku.com.cn/uploads/allimg/20200326/20200326235440-60583.gif)
<0时,
![](http://img.shitiku.com.cn/uploads/allimg/20200326/20200326235439-29128.gif)
的解析式为
【题文】已知函数
![](http://img.shitiku.com.cn/uploads/allimg/20200326/20200326235429-89309.gif)
,则
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