【题文】已知函数满足:,.则________________
【题文】已知函数满足:,.则________________
题型:难度:来源:
【题文】已知函数
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324234608-54916.png)
满足:
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324234608-59199.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324234609-28210.png)
,
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324234609-63870.png)
.则
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324234609-32835.png)
________________
答案
【答案】
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324234609-25071.png)
解析
【解析】令
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324234610-73735.png)
可得
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324234610-67409.png)
,则
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324234610-97631.png)
令
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324234611-82901.png)
可得
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324234611-18585.png)
,则
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324234611-37414.png)
令
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324234612-36362.png)
可得
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324234612-77760.png)
,则
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324234612-82105.png)
令
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324234612-63479.png)
可得
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324234613-98236.png)
,则
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324234613-95246.png)
令
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324234613-25216.png)
可得
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324234614-43863.png)
,则
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324234614-64280.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324234608-54916.png)
是周期为5的周期函数,故
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324234614-68414.png)
举一反三
【题文】函数
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324234602-18553.png)
的定义域为( )
【题文】函数
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324234552-16977.png)
的定义域为
【题文】函数y =
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324234543-62903.png)
的值域是
【题文】
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324234537-52304.png)
的定义域为( )
【题文】函数
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324234431-89279.png)
的定义域是
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