解题方法
1 . 已知函数
(
且
)的图象过点
,
.若函数
在定义域内存在实数t,使得
成立,则称函数
具有性质M.
(1)求实数a的值;
(2)判断函数
是否具有性质M?并说明理由;
(3)证明:函数
具有性质M.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49909c7e4d08c2ba43acdfc9061d9574.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10c0fef96f30a0604adb01c856ad4cff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cad952920e1c67dc90431fa5de416757.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/914a49b0d7aedc593a3e87fbab7c31ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61c388166862b3ccfcc7ca749ebe5949.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c7d72ba548b334668487ae4ac2575a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61c388166862b3ccfcc7ca749ebe5949.png)
(1)求实数a的值;
(2)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
(3)证明:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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