解题方法
1 . 对于函数
,若存在
使
成立,则称
为
的不动点.如果函数
有且只有两个不动点0,2,且
.
(1)求函数
的解析式;
(2)已知各项为负的数列
满足
,求数列通项
;
(3)如果数列
满足
,求证:当
时,恒有
成立.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/077a46637de779459a4f98a073e26a1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ce48ebf054fe4ea1783f4438f658dc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62c8e60b8f0ab383ac3023d31fdd13b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59f600769e8004ee2f072bf153422dbf.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)已知各项为负的数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/406591c896da054461bc256925bdd069.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(3)如果数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3034ba16affafabf99514e8d587495cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f36f8588a613445f331ddc84db9ab1c4.png)
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