题目内容
对任意实数
,记
,若
,其中奇函数
在
时有极小值
,
是正比例函数,
与
图象如图,则下列关于
的说法中正确的是( )
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408240601261549231.jpg)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824060125889396.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408240601259051379.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408240601259361175.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824060125951561.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824060125998323.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824060126029302.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824060126061550.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824060126076615.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824060126107442.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824060126123579.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408240601261549231.jpg)
A.![]() |
B.![]() ![]() ![]() |
C.![]() ![]() |
D.![]() ![]() |
B
因为,
是奇函数,其图象关于原点对称,所以
与
图象如图1所示;
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/2014082406012638820942.png)
图1
根据
,
可知,
的图象如图2所示,显然,
的图象不关于原点对称,不是奇函数;
无最小值、无最大值;其在区间
“先增后减”,故选B.
图2
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824060125951561.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824060125951561.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824060126107442.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/2014082406012638820942.png)
图1
根据
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408240601259051379.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408240601259361175.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824060126123579.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824060126123579.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824060126123579.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824060126310479.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/2014082406012652914697.png)
图2
![](http://thumb.zyjl.cn/images/loading.gif)
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