题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010747-96721.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010747-55327.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010748-69521.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010748-95675.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010748-87667.png)
(I)求
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010748-36500.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010748-87667.png)
(Ⅱ)设
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010749-60714.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010749-98601.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010749-52704.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010749-41804.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010750-86195.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010749-52704.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010750-86519.png)
解析
试题分析:本题主要考查等差数列的概念与通项公式、求和公式、不等式等基础知识,同时考查运算求解能力.第一问,利用等差数列的通项公式将
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010750-99070.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010750-43577.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010751-79648.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010751-39663.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010751-79648.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010751-39663.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010749-52704.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010751-96425.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010749-52704.png)
试题解析:(Ⅰ) 设公差为
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010751-39663.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010751-53957.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010747-55327.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010751-56567.png)
故
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010749-41804.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010750-86195.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010749-98601.png)
(Ⅱ) 由(I)得
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010752-59236.png)
由基本不等式得
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010752-59948.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010752-91039.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010752-83714.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010753-86416.png)
从而得
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010749-52704.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010750-86519.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010732-93664.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010732-53224.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010732-64642.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010732-96446.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010732-34156.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010732-53224.png)
A.10 | B.11 | C.12 | D.13 |
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010723-70265.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010723-86289.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010723-72913.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010704-50313.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010704-52506.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010705-75465.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010705-79316.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010705-30746.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010705-93858.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010705-21095.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010619-21223.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010619-41464.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010619-15775.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010619-99814.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010620-68785.png)
(1)若
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010620-73569.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010619-21223.png)
(2)求证:对
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010620-92835.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010620-58588.png)
(3)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010620-22874.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010601-29662.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010601-35412.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010602-72872.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010602-87785.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010602-77064.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010602-52709.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010603-48781.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010603-43623.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010603-84655.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010603-58740.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012010603-23290.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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