题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234328-71113.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234328-42177.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234329-65194.png)
(Ⅰ)若三项数列
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234328-42177.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234329-24866.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234328-42177.png)
(Ⅱ)若各项非零数列
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234328-42177.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234329-36687.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234329-83191.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234330-45416.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234330-79725.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234330-72125.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234329-36687.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234330-90756.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234331-82191.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234331-82191.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234331-42404.png)
解析
试题分析:(Ⅰ)分析可知1和
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234331-74395.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234331-35646.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234331-74395.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234331-45884.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234331-76051.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234330-45416.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234332-10710.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234332-82474.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234332-24354.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234330-90756.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234332-28309.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234333-43427.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234331-35646.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234333-43427.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234331-74395.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234333-51332.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234333-41236.png)
且
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234333-63623.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234331-82191.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234332-28309.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234333-43427.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234331-35646.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234333-43427.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234331-74395.png)
试题解析:解:(Ⅰ)满足
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234329-24866.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234334-44463.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234331-35646.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234334-42027.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234331-76051.png)
所以符合题意的数列
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234328-42177.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234334-35475.png)
(Ⅱ)因为数列
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234329-36687.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234330-45416.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234345-77748.png)
因为首项
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234329-83191.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234345-78791.png)
根据题意有末项
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234332-24354.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234345-14016.png)
而
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234333-63623.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234330-90756.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234332-28309.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234333-43427.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234331-35646.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234333-43427.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234331-74395.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234345-43737.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234346-49904.png)
要求
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234331-82191.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234332-28309.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234333-43427.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234331-35646.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234333-43427.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234331-74395.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234346-46194.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234346-98931.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234331-42404.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234330-90756.png)
核心考点
试题【已知集合,对于数列中.(Ⅰ)若三项数列满足,则这样的数列有多少个?(Ⅱ)若各项非零数列和新数列满足首项,(),且末项,记数列的前项和为,求的最大值.】;主要考察你对等差数列等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234308-50674.png)
(Ⅰ)求数列{an}的通项公式;
(Ⅱ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234308-24729.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234309-63517.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234309-49574.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234251-23239.png)
(Ⅰ)求数列{an}的通项公式;
(Ⅱ)已知
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234251-17101.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234257-15272.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234238-87420.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234238-94375.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234238-59581.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234239-86389.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234239-63239.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234239-10110.png)
A.0 | B.3 | C.8 | D.11 |
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234204-58073.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234204-67107.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234204-23072.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234204-25518.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234205-69929.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234205-21618.png)
(Ⅰ)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234204-58073.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234205-21618.png)
(Ⅱ)记数列
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234205-21618.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234204-67107.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234205-90954.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234205-17993.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234216-91395.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234216-93008.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234157-53701.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234158-28676.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234158-54113.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011234158-40006.png)
A. 130 | B. 65 | C. 70 | D. 75 |
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