题目内容
奇函数
的图象E过点
两点.
(1)求
的表达式;
(2)求
的单调区间;
(3)若方程
有三个不同的实根,求m的取值范围.
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132251067613.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132251098749.gif)
(1)求
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132251113270.gif)
(2)求
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132251113270.gif)
(3)若方程
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132251145490.gif)
(1)
(2)增区间是
,减区间是(-1,1)
(3)(-2,2)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132251160497.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132251176583.gif)
(3)(-2,2)
(1)
为奇函数
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132251207755.gif)
∴![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132251238531.gif)
∵图象过点
、![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132251301456.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408231322513161590.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132251379519.gif)
(2)![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132251394995.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408231322515031051.gif)
的增区间是
,减区间是(-1,1)
(3)![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132251550483.gif)
为使方程
有三个不等根,则
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132251597634.gif)
的取值范围是(-2,2)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132251191640.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132251207755.gif)
∴
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132251238531.gif)
∵图象过点
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132251254369.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132251301456.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408231322513161590.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132251379519.gif)
(2)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132251394995.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408231322515031051.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132251519289.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132251176583.gif)
(3)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132251550483.gif)
为使方程
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132251581701.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132251597634.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132251597220.gif)
![](http://thumb.zyjl.cn/images/loading.gif)
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