题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010000342-74443.png)
A.28 | B.33 | C.![]() | D.![]() |
答案
解析
试题分析:由
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010000343-62772.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010000343-38808.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010000343-38808.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010000344-13535.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010000344-46680.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010000343-99362.png)
点评:简单题,通过构造数列{
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010000343-38808.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010000343-38808.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010000344-40026.png)
的通项公式,进一步求
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010000344-46680.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010000324-91219.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010000325-42583.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010000325-81473.png)
(2)若等差数列
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010000325-98098.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010000325-81473.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010000325-73545.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010000325-81473.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010000325-93627.png)
为
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010000326-69342.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010000326-25610.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010000325-93627.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010000259-61125.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010000301-89716.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010000301-91006.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010000311-47541.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010000311-68955.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010000156-60947.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010000158-27216.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010000158-48065.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010000158-62915.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010000158-53556.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010000159-35573.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010000159-92798.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010000159-51553.png)
(1)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010000156-60947.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010000159-35573.png)
(2)设
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010000159-90615.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010000159-61113.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010000158-27216.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010000159-32457.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010000200-52217.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010000200-25927.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010000200-11612.png)
(3)设
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010000201-80783.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010000201-63538.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010000201-90072.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010000201-79692.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010000142-38635.png)
(1)证明:数列{an}为等差数列的充要条件是α+2β=0;
(2)已知α=1,β=
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010000142-80109.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010000142-90088.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010000143-96544.png)
(1)求S5,S7的值;
(2)求证:对任意n∈N*,Sn≥0.
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