题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085042-84510.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085042-13926.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085042-15939.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085042-61106.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085042-94343.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085043-24001.png)
(1)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085042-84510.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085042-61106.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085043-59681.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085043-61974.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085044-63207.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085044-82905.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085044-27776.png)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085044-99133.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085044-58928.png)
解析
(1)根据已知条件可知三项的关系式,利用通项公式得到结论。
(2)根据第一问的结论得到通项公式,然后运用分组求和得到结论
(1)因为
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085045-80973.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085045-21763.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085045-60720.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085046-27182.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085046-18863.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085046-62548.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085046-59795.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085046-92410.png)
(2)因为
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085047-26786.png)
解:(1)因为
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085045-80973.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085045-21763.png)
设等差数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085045-60720.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085046-27182.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085046-18863.png)
所以d=1 ………3分
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085047-97338.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085046-62548.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085046-59795.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085046-92410.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085047-61432.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085048-44220.png)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085047-26786.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085048-23887.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085048-92841.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085016-26861.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085026-70145.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085027-93166.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085006-88080.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085006-56244.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085006-15765.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085006-39084.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085006-25488.png)
A.99 | B.100 | C.96 | D.101 |
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085001-95404.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085001-34791.png)
则使
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085001-39674.png)
A.有最大值63 | B.有最小值63 |
C.有最大值32 | D.有最小值32 |
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012084939-83726.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012084939-24494.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012084921-71326.png)
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