题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233151-44577.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233152-10355.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233152-65669.png)
答案
解析
试题分析:利用尝试的方法推断其为18.因为,由等差数列的性质可知4a2+a10+a18═3a2+3a10=24
∴a2+a10=8
则S11=
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233153-29726.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233153-12452.png)
故答案为18。
点评:中档题,在等差数列中,m+n=p+q,
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233153-23626.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233114-26514.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233114-18731.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233115-45562.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233115-26282.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233115-65126.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233052-17628.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233052-97171.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233053-22952.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233053-68617.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233053-15906.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233053-22952.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233023-55694.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233023-33381.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233023-82124.png)
(1)若
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233024-14555.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233024-43072.png)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233024-92269.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233024-27270.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233025-65348.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233025-65348.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233025-95721.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233025-94398.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009232917-73966.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009232917-21065.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009232917-79650.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009232918-70202.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009232918-50533.png)
(1)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009232917-73966.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009232918-87872.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009232918-70202.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009232917-21065.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009232918-62688.png)
(3)求证:不论
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009232917-21065.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009232918-39160.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009232835-23355.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009232836-28756.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009232836-51405.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009232835-23355.png)
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