【题文】已知函数和的图象的对称轴完全相同。若,则的取值范围是 .
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【题文】已知函数
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324185116-40116.png)
和
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324185116-34556.png)
的图象的对称轴完全相同。若
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324185116-16103.png)
,则
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324185116-52733.png)
的取值范围是
.
答案
【答案】
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324185117-26476.png)
解析
【解析】因为两个函数图象的对称轴完全相同,即两个函数的周期相同,所以可得
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324185117-14563.png)
故
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324185117-35197.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324185117-32814.png)
时,
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324185117-23805.png)
,所以
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324185118-31387.png)
举一反三
【题文】.若函数y=f(x)的定义域是[2,4],
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324185112-77321.png)
的定义域是( )
A.[ ,1] | B.[4,16] |
C.[ ] | D.[2,4] |
【题文】已知
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324185108-58501.png)
,则
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324185108-46299.png)
=
【题文】已知
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324185104-43044.png)
在
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324185104-62397.png)
上是奇函数,且满足
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324185104-79482.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324185104-67837.png)
时,
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324185105-41479.png)
,则
![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324185105-65408.png)
等于 ( )
A.![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324185105-79758.png) | B.2 | C.![](http://img.shitiku.com.cn/uploads/allimg/20200324/20200324185105-59267.png) | D.98 |
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