解题方法
1 . 若两个函数
和
对任意
,都有
,则称函数
和
在
上是疏远的.
(1)已知命题“函数
和
在
上是疏远的”,试判断该命题的真假.若该命题为真命题,请予以证明;若为假命题,请举反例;
(2)若函数
和
在
上是疏远的,求整数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a1cfb60420ff7e72c1b9d64f69ae063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70128385b9ab66ac44614af35a0dcdce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d1226912a2b9d5c7027854fcd762cff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a1cfb60420ff7e72c1b9d64f69ae063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4776c85b79df196f606d3ebf3697fbc3.png)
(1)已知命题“函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/894853b480d4eb048607e45222f9f754.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd5f1897f20ab79ba69ec855ba97be08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/304226ca50149b49702928e44d565964.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/894853b480d4eb048607e45222f9f754.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f9869bc4fdbe558198772d2c70b4466.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0fb0d24064b04be7bb11ae0e5e590de.png)
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