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解题方法
1 . 已知函数
在
是减函数.
(1)求实数a的取值范围;
(2)记![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf7bc56c99c9a6a751d92a8b398e82ee.png)
,当
时,
①求证:
在区间
内存在唯一极值点(记为
);
②求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad5854a3e006a1503b38666e56381d91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71163f419555f2ed76075c8ff659fbfc.png)
(1)求实数a的取值范围;
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf7bc56c99c9a6a751d92a8b398e82ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e5e07bf129b073f37b553fbca100172.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
①求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91fdbfcf9ffd7cdf7a74a8680afea926.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3282e5fde4ae53fcb1bb072a685304c9.png)
②求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c642de19a879df2e18cc5c5c44bd5b07.png)
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