题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233934-85507.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233934-55792.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233934-77490.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233934-62416.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233935-96579.png)
(Ⅰ)求证:数列
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233935-22529.png)
(Ⅱ)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233934-85507.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233935-14412.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233935-18981.png)
(Ⅲ)设函数
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233936-98348.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233936-30586.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233936-44488.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233936-65668.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233936-16285.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233937-93083.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233937-14308.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233937-48983.png)
解析
试题分析:(1)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233937-60743.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233938-98131.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233938-30430.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233938-17184.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233938-85126.png)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233939-52068.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233939-37180.png)
(3)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233939-67137.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233939-71540.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233940-11764.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233940-11313.png)
∴当n为奇数时
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233940-11429.png)
当n为偶数时
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233940-23093.png)
综上所述,
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233937-14308.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233937-48983.png)
点评:中档题,本题具有较强的综合性,本解答通过利用韦达定理,确定得到数列相邻项之间的关系得到了证明目的,根据
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233936-16285.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233852-50557.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233852-47646.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233852-27837.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233853-24523.png)
(2)令
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233853-58712.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233853-97488.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233853-84726.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233854-99246.png)
(3)若不等式
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233854-85360.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233854-47415.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233855-38406.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233855-31587.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233746-34716.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233746-20727.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233746-46869.png)
A.![]() | B.![]() | C.![]() | D.![]() ![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233645-58523.png)
A.5 | B.7 | C.6 | D.8 |
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233558-52773.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233558-15193.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233559-70426.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233559-10965.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233559-16991.png)
A.29 | B.28 | C.27 | D.26 |
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233551-46434.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009233552-35564.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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