题目
题型:解答题难度:简单来源:不详
定义在非零实数集上的函数
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818055017-67903.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818055018-23783.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818055017-67903.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818055018-12778.gif)
(1) 判断函数
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818055017-67903.gif)
(2) 解不等式
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818055018-54911.gif)
答案
解:(1)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818055017-67903.gif)
令y=0,由
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818055018-65580.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818055018-51256.gif)
再令
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818055018-15912.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818055019-18461.gif)
又令
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818055019-92234.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818055019-57676.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818055019-72457.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818055017-67903.gif)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818055019-13427.gif)
又由(1)得结论
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818055020-12032.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818055020-71525.gif)
-------------------12分
解析
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818055014-66872.png)
A.0<a<![]() | B.a<-1或a>![]() |
C.a>![]() | D.a>-2 |
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818055011-77830.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818055011-81350.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818055011-70162.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818055011-77830.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818055011-13234.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818055012-25799.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818055012-98182.png)
②若
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818055012-60959.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818055012-18537.png)
③若方程
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818055012-60345.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818055013-12721.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818055013-70436.png)
A.0个 | B.1个 | C.2个 | D.3个 |
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818055005-74357.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818055005-37590.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818055005-76023.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818055005-37590.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818055006-96934.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818055005-37590.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818055005-76023.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818055006-32034.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818055006-43504.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818055006-94750.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818055006-96599.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818055006-44466.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818055006-94750.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818055007-20974.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818055007-75384.png)
A.![]() | B.![]() | C.![]() | D.12 |
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818055001-81474.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818054958-45433.png)
A.
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818054958-16141.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818054958-82964.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818054958-74736.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818054959-41338.png)
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