【题文】.定义在上的函数满足,则( )A.B.0C.1D.2
题型:难度:来源:
【题文】.定义在
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325072615-75165.png)
上的函数
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325072616-83438.png)
满足
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325072616-93083.png)
,则
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325072616-63849.png)
( )
A.![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325072616-97392.png) | B.0 | C.1 | D.2 |
答案
【答案】A
解析
【解析】解:因为定义在
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325072615-75165.png)
上的函数
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325072616-83438.png)
满足
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325072617-24024.png)
,那么
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325072616-63849.png)
f(2011)-f(2010)=
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325072616-63849.png)
f(2010)- f(2009)-f(2009)+f(2008)=…=-1
举一反三
【题文】 设
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325072558-46944.png)
,
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325072558-23862.png)
是二次函数,若
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325072558-89117.png)
的值域是
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325072558-69550.png)
,则
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325072558-23862.png)
的值域是( )
【题文】 设
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325072554-36298.png)
,
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325072554-90464.png)
是二次函数,若
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325072554-48847.png)
的值域是
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325072555-87833.png)
,则
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325072554-90464.png)
的值域是( )
【题文】 函数
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325072526-26122.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325072526-78490.png)
为偶函数,且
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325072526-53414.png)
恒成立,
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325072526-93729.png)
时,
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325072526-34140.png)
,则当
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325072527-93581.png)
时
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325072527-45168.png)
等于 ( )
【题文】 函数
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325072516-85138.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325072516-28429.png)
为偶函数,且
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325072517-26734.png)
恒成立,
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325072517-38043.png)
时,
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325072517-60873.png)
,则当
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325072518-49819.png)
时
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325072518-75660.png)
等于 ( )
【题文】.若
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325072502-87338.png)
是R上的单调递增函数,则实数a的取值范围为
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