题目内容
设函数
的定义域为
,若存在非零实数
满足对于任意
,均有
,且
,则称
为
上的
高调函数.如果定义域为
的函数
是奇函数,当
时,
,且
为
上的4高调函数,那么实数
的取值范围是( )
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823210540332447.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823210540363315.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823210540473337.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823210540504756.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823210540519577.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823210540566751.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823210540332447.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823210540987399.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823210540473337.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823210541175303.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823210540332447.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823210541206391.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823210541221712.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823210540332447.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823210541175303.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823210541284283.png)
A.![]() | B.![]() | C.![]() | D.![]() |
A
定义域为R的函数f(x)是奇函数,当x≥0时,
,画出函数图象,可得4≥
得
1≤a≤1.定义域为R的函数f(x)是奇函数,
当x≥0时,
的图象如图,
∵f(x)为R上的4高调函数,∴4≥
,∴
1≤a≤1,故选A
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823210541471716.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823210541487606.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823210541549165.png)
当x≥0时,
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408232105415651852.png)
∵f(x)为R上的4高调函数,∴4≥
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823210541487606.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823210541549165.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408232105416278054.jpg)
![](http://thumb.zyjl.cn/images/loading.gif)
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