【题文】设是上的奇函数,. 当时,有,则 .
【题文】设是上的奇函数,. 当时,有,则 .
题型:难度:来源:
答案
【答案】
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327043010-87173.png)
.
解析
【解析】
试题分析:由题意知,
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327043011-68563.png)
.
考点:1.函数的周期性;2.函数的奇偶性
举一反三
【题文】已知函数
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327042934-88483.png)
是
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327042934-42848.png)
上的奇函数,
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327042934-23841.png)
时,
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327042935-44512.png)
,若对于任意
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327042935-28161.png)
,都有
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327042935-74784.png)
,则
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327042935-27755.png)
的值为
.
【题文】已知定义在
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327042829-76329.png)
上的函数
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327042829-55908.png)
,满足
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327042829-43281.png)
,且对任意的
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327042830-21915.png)
都有
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327042831-65215.png)
,则
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327042831-61627.png)
.
【题文】已知
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327042818-36177.png)
的对称中心为
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327042819-39058.png)
,记函数
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327042819-59033.png)
的导函数为
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327042819-14468.png)
,
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327042819-14468.png)
的导函数为
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327042820-80031.png)
,则有
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327042820-75601.png)
.若函数
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327042819-59033.png)
=
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327042820-89946.png)
【题文】设
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327042809-34057.png)
是周期为2的奇函数,当
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327042809-38889.png)
时,
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327042809-34057.png)
=
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327042810-86358.png)
,
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327042810-55200.png)
=______.
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