题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009015233-68112.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009015233-84804.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009015234-10204.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009015234-12679.png)
(1)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009015233-68112.png)
(2)设数列
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009015234-91008.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009015234-88667.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009015234-97191.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009015235-71747.png)
解析
试题分析:数列问题要注意以下两点①等差(比)数列中各有5个基本量,建立方程组可“知三求二”;②数列的本质是定义域为正整数集或其有限子集的函数,数列的通项公式即为相应的解析式,因此在解决数列问题时,应注意用函数的思想求解.(1)由题知,展开
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009015235-83149.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009015235-17745.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009015235-33793.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009015235-33793.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009015233-68112.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009015235-34425.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009015236-94538.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009015236-77186.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009015236-60843.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009015235-34425.png)
试题解析:(1)由题知
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009015236-36829.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009015237-36087.png)
解得
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009015237-75192.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009015237-17896.png)
所以数列的通项公式为
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009015235-71747.png)
(2)由(1)得
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009015237-80230.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009015238-30361.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009015238-40526.png)
=
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009015236-60843.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009015238-38048.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009015238-53268.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009015238-38478.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009015239-66570.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009015239-16861.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009015239-43811.png)
可证得:
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009015234-97191.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009015235-34425.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009015218-63141.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009015218-53013.png)
(1)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009015218-63141.png)
(2)设
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009015218-19131.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009015219-75649.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009015219-55370.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009015044-29927.png)
(1)求数列{an}的通项公式;
(2)数列{bn}满足
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009015044-55954.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009015044-30608.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009015035-51498.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009015035-23757.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009015036-22848.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009015036-59385.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009015036-67767.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009015036-97523.png)
A.2011 | B.-2012 | C.2014 | D.-2013 |
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009015021-37271.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009015021-26758.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009015021-35717.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009015022-14312.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009015022-76389.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009015022-54581.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009015022-40717.png)
(1)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009015021-37271.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009015022-76389.png)
(2)设
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009015023-24574.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009015023-80672.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009015023-90243.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009015023-97430.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009014949-35011.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009014950-64523.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009014950-19469.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009014950-34447.png)
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