题目内容
定义在R上的偶函数f(x)在[0,+∞)上是增函数,且f(
)=0,则不等式f(
x)>0的解集是( )
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824052524053327.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824052524069465.png)
A.(0,![]() | B.(2,+∞) |
C.(0,![]() | D.(![]() |
C
因为f(x)在R上是偶函数且在[0,+∞)是增函数,f(
)=0,所以f(x)在(-∞,0]上是减函数,且f(-
)=0,若f(
x)>0,得
x>
或
x<-
,所以0<x<
或x>2,故选C.
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824052524053327.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824052524053327.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824052524069465.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824052524069465.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824052524053327.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824052524069465.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824052524053327.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824052524084338.png)
![](http://thumb.zyjl.cn/images/loading.gif)
练习册系列答案
相关题目