名校
解题方法
1 . 已知
是定义在区间
上的奇函数,且
,若
,
时,有
.
(1)判断函数
的单调性,并用定义证明;
(2)解不等式
;
(3)若
对所有
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/417ab20883d799aaf311371393fa7d7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d87cd4403487962c38c8707ba3ab3fa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d016025146965b341bc92564646a9e0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4440dae5b564c68d767e66a7481d943.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5eee40a0c3c487e8bd09ae0554f62924.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f26b17dac6692e99a7cc94f3d982754.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7460142b1a010301f91efcd30aa7e185.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af05b7ccfff9514f4837c938607f7d9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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