题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014060000-84548.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014060000-66655.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014060000-59354.png)
(1)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014060000-84548.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014060000-66655.png)
(2)设
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014060001-36714.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014060001-48404.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014060002-65174.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014060002-66545.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014060002-38762.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014060002-54835.png)
解析
试题分析:(1)由
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014060002-70473.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014060000-84548.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014060003-41496.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014060003-41496.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014060003-86317.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014060003-84709.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014060001-48404.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014060003-98921.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014060004-99943.png)
试题解析:解:(1)∵
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014060002-70473.png)
∴数列{
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014060004-82791.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014060004-82908.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014060004-82908.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014060004-36758.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014060003-86317.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014060004-88461.png)
(2)由(1)知,
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014060005-21163.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014060005-11769.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014060005-57054.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014060005-91334.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014060005-39040.png)
于是
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014060006-61667.png)
8分
① ②得
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014060006-92438.png)
=
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014060006-37635.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014060002-54835.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014055949-46405.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014055949-18285.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014055949-80041.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014055949-52916.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014055942-63752.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014055942-44271.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014055942-95579.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014055942-25477.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014055942-73411.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014055932-37232.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014055932-85228.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014055932-48848.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014055933-63255.png)
(1)证明数列
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014055933-85302.png)
(2)求通项
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014055933-93748.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014055932-85228.png)
(3)设
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014055933-55690.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014055933-32983.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014055933-41338.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014055908-90051.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014055908-81013.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014055908-65031.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014055909-88272.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014055909-52188.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014055901-42991.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014055901-99916.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014055902-34688.png)
A.若![]() ![]() | B.若![]() ![]() |
C.若![]() ![]() | D.若![]() ![]() |
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