真题
名校
1 . 已知有穷数列
共有
项
,首项
,设该数列的前
项和为
,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32cf4e7bc98490a799fb945ff79f3175.png)
其中常数
.
(1)求证:数列
是等比数列
(2)若
,数列
满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0fdd5689aea0f85229e6c3192e24b49.png)
,求出数列
的通项公式
(3)若(2)中的数列
满足不等式
,求出
的值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b5631bc01b998a4b3fabd9e131699dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f695648b65935f0e2d4157c49d1fe86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32cf4e7bc98490a799fb945ff79f3175.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b92069f3715f3d341a6db003cce166b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d33da711e50e96568facb18cef27165.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e8efebb53e5a6bb692f1c87c57f8462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0fdd5689aea0f85229e6c3192e24b49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/464b893572d5ed71a0ca48f461e2536a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(3)若(2)中的数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2e9d2d695533cf514d0cbe937204ebc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2020-01-09更新
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595次组卷
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3卷引用:2006 年普通高等学校招生考试数学(理)试题(上海卷)