题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012070543-49308.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012070544-97483.png)
(1)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012070544-82846.png)
(2)证明
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012070555-73745.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012070555-93184.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012070555-23371.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012070556-26860.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012070555-73745.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012070556-36409.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012070556-52910.png)
解析
试题分析:(1)设等差数列的公差为d,
由
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012070544-97483.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012070556-65369.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012070557-98564.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012070555-23371.png)
(2)证明:
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012070556-26860.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012070555-73745.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012070556-36409.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012070556-52910.png)
…………12分
点评:高考中中的数列解答题考查的的热点为求数列的通项公式、等差(比)数列的性质及数列的求和问题.因此在高考复习的后期,要特别注意加强对由递推公式求通项公式、求有规律的非等差(比)数列的前n项和等的专项训练.
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012070526-41288.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012070526-41288.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012070527-70669.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012070527-43345.png)
A.16 | B.8 | C.2![]() | D.4 |
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012070519-55525.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012070520-67663.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012070520-40342.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012070520-40342.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012070520-84572.png)
(1)求数列{
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012070519-55525.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012070520-67663.png)
(2)记
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012070520-30460.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012070519-55525.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012070520-67663.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012070520-30460.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012070451-36678.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012070452-97959.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012070452-82510.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012070452-95520.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012070452-58541.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012070452-20303.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012070419-28497.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012070419-77155.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012070419-14040.png)
A.2009 | B.2010 | C.2011 | D.2012 |
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012070410-68458.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012070410-93051.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012070410-48743.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012070410-17912.png)
A.21 | B.22 | C.23 | D.24 |
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