题目内容
(满分10分)
已知函数
是定义在R上的偶函数,当
时,
.
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408240026422113705.png)
(1)画出函数
的图象(在如图的坐标系中),并求出
时,
的解析式;
(2)根据图象写出
的单调区间及值域.
已知函数
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824002642180435.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824002642180405.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824002642195585.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408240026422113705.png)
(1)画出函数
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824002642180435.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824002642258423.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824002642180435.png)
(2)根据图象写出
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824002642180435.png)
(1) ![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408240026422893990.jpg)
(2) f(x)在
上是增函数,在
上是减函数,值域
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408240026422893990.jpg)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408240026423051058.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824002642320523.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824002642336533.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824002642336391.png)
试题分析:(1)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408240026423513989.jpg)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824002642367388.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824002642383408.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824002642398701.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824002642180435.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824002642414705.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824002642445689.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408240026424611137.png)
(2)观察图像可知f(x)在
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824002642320523.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824002642336533.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824002642336391.png)
点评:本题中求函数解析式部分学生易出错,首先要应用奇偶性实现x范围的转换
![](http://thumb.zyjl.cn/images/loading.gif)
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