1 . 已知函数
,数列
的前
项和为
,点
,
都在函数
的图象上,
(1)求
的通项公式;
(2)令
,求
的前
项和
;
(3)令
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f433c243458d4e3cdb1cf07a030e13f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.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/184a6d327a0d8ee359e74c2c5e2f257e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f79dc80683f49c71b505e4bb711dbbb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8182f57c43fd1d8fb13161224687c469.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
(3)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42228f53346b32a762db73d92833af12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/453ef41993d155a175c040baf882ee4e.png)
您最近一年使用:0次
2014·广东东莞·二模
名校
解题方法
2 . 已知函数
,数列
的前
项和为
,点
均在函数
的图象上.
(1)求数列
的通项公式
;
(2)令
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/815816ef42686063d113a3f725b8d119.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.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/db1db408f85d85ce7b973b9fffbe7fc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42228f53346b32a762db73d92833af12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d0e10fa4acb20593a30be58ce7a6234.png)
您最近一年使用:0次
2016-12-03更新
|
5439次组卷
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5卷引用:第十一届高一试题(A卷)-“枫叶新希望杯”全国数学大赛真题解析(高中版)