题目内容
设函数
(
)
(1)写出函数
的定义域;(2)讨论函数
的单调性.
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408240119023091045.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824011902325399.png)
(1)写出函数
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824011902341447.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824011902341447.png)
(1)![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824011902372543.png)
(2)当
有两个零点,
且当
内为增函数;
当
内为减函数; 2
②当
内为增函数; 2
③当
内为增函数; 2
④当![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824011902512433.png)
在定义域内有唯一零点
,当
内为增函数,当
时
内为减函数
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824011902372543.png)
(2)当
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408240119023871072.png)
且当
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408240119024191430.png)
当
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824011902434899.png)
②当
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408240119024811151.png)
③当
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824011902497933.png)
④当
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824011902512433.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824011902528481.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824011902543300.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824011902559879.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824011902575380.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824011902590759.png)
试题分析:解:(1)函数
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824011902341447.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824011902372543.png)
(2)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408240119026211132.png)
当
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408240119026371206.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408240119026531082.png)
①当
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408240119023871072.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408240119026842419.png)
且当
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408240119026991781.png)
当
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408240119027151116.png)
②当
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408240119027151840.png)
③当
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408240119027311540.png)
④当
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408240119027461684.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408240119027621767.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824011902543300.png)
当
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408240119027931063.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824011902575380.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824011902824966.png)
点评:本试题主要是考查了分类讨论思想来秋季诶函数的零点,进而得到单调性的判定,属于中档题。
![](http://thumb.zyjl.cn/images/loading.gif)
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