题目
题型:解答题难度:简单来源:不详
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818063957-95373.gif)
(1)求函数
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818063958-95782.gif)
(2)讨论函数
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818063958-95782.gif)
答案
(1)当
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818063958-55902.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818063958-21920.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818063958-60043.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818063958-82149.gif)
(2)当
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818063958-60043.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818063958-95782.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818063958-82149.gif)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818063958-95782.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818063959-89122.gif)
当
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818063958-55902.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818063959-89122.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818063959-94622.gif)
当
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818063958-60043.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818063959-89122.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818063959-28975.gif)
所以当
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818063958-55902.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818063958-21920.gif)
当
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818063958-60043.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818063958-82149.gif)
(2)当
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818063958-55902.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818063959-18797.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818063959-34161.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818064000-28774.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818064001-23551.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818064001-69251.gif)
即
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818064001-84577.gif)
由函数单调性定义知:当
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818063958-55902.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818063958-95782.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818063958-21920.gif)
当
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818063958-60043.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818064001-89113.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818063959-34161.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818064001-34775.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818064002-59731.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818064002-66490.gif)
即
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818064001-84577.gif)
由函数单调性定义知:当
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818063958-60043.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818063958-95782.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818063958-82149.gif)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818063951-88185.gif)
(1)若
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818063951-65525.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818063951-36777.gif)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818063951-85772.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818063951-36777.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818063952-13366.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818063952-48418.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818063952-48418.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818063946-96981.gif)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818063946-32846.gif)
(2)当
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818063946-98832.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818063946-32846.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818063947-95155.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818063947-14987.gif)
(I)求实数a的取值范围;
(II)在(I)的结论下,设
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818063943-92241.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818063943-26685.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818063937-18265.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818063937-22463.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818063938-97024.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818063938-48971.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818063938-45807.gif)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818063938-38913.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818063937-18265.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818063937-22463.gif)
(3)解不等式
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818063938-36026.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818063932-77732.png)
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