1 . 已知数列
,
,
,
满足
,且当
时,
,令
.
(1)写出
的所有可能的值;
(2)求
的最大值;
(3)是否存在数列
,使得
?若存在,求出数列
;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cff70eedae11d8afe0c0e8ef5fd0a37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa5e9bd516f6282483b92cfe6074623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8212ecf62b74880881161ebdcd897ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1bd1147d3076ee020d6af6c4cc3eaa8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1891d36e6b3385a4ecd019ae50c89b73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56cc7400e2df7afc836c28f4ff3d4b65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45b8984330b630e159ca55e9e5629049.png)
(1)写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5c5b0b0a1114834e1431930cd3b7f0.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83233db4f5b58414f11a5b84e3676666.png)
(3)是否存在数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3cfeacc29e6a61c5b3b4e439c0a91df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fb3a382e10d7806414df36600c33084.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3cfeacc29e6a61c5b3b4e439c0a91df.png)
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2017-12-25更新
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360次组卷
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2卷引用:北京市朝阳区第80中学2017届高三上12月月考数学试题