解题方法
1 . 已知数列
是各项均为正数的数列,且
,
.
(1)若
,求数列
的前n项和
;
(2)是否存在正整数c,使
的解集中n的值有且仅有3个?若存在,请求出c的值;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dd92c88ef32c4345dcddf7cd4aa4d12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/980d51ba3340a31964fbec9e6f243ca6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f329b217e1051b23f0d61023cdc6e69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
(2)是否存在正整数c,使
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c725acdb02d4256677c938bb5c7e49a0.png)
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解题方法
2 . 已知函数
.
(Ⅰ)求方程
的实数解;
(Ⅱ)如果数列
满足
,
(
),是否存在实数
,使得
对所有的
都成立?证明你的结论.
(Ⅲ)在(Ⅱ)的条件下,设数列
的前
项的和为
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c568ccd3aa8a7a5161cf394030b94968.png)
(Ⅰ)求方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd689fbacfbe6c1bd0953521bbf3638b.png)
(Ⅱ)如果数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cfb19f0c37a72b33083ae9319f11a74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6baa2eb274e9af7cc5c78b9b8f1fc13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
(Ⅲ)在(Ⅱ)的条件下,设数列
![](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/b2a2b4c25547664c0ebc2da393109ad1.png)
您最近一年使用:0次
2020-10-30更新
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156次组卷
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5卷引用:专题7.5 数列的综合应用(讲)- 2022年高考数学一轮复习讲练测(新教材新高考)
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