题目
题型:不详难度:来源:
已知有穷数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065704-81681.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065705-22022.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065705-51600.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065705-87075.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065705-58943.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065706-37732.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065706-48527.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065706-62330.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065704-81681.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065706-64475.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065707-22466.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065707-56653.png)
求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065707-37545.png)
⑶若⑵中数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065707-22466.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065707-35241.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065718-30754.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065718-54276.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065719-90348.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065718-30754.png)
解析
试题分析:⑴
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065719-55639.png)
两式相减得
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065720-94145.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065720-51570.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065720-52040.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065704-81681.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065718-54276.png)
⑵把数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065704-81681.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065707-22466.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065720-51502.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065721-11614.png)
⑶数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065707-22466.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065721-85534.png)
则原不等式左边即为
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065721-30589.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065722-57364.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065722-75704.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065718-30754.png)
点评:中档题,本解答从研究
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065722-58972.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065718-54276.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065722-14700.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065722-76384.png)
核心考点
试题【(本题满分16分)已知有穷数列共有项(整数),首项,设该数列的前项和为,且其中常数⑴求的通项公式;⑵若,数列满足求证:;⑶若⑵中数列满足不等式:,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/20191012/20191012065631-92765.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065632-37328.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065631-92765.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065637-76167.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065638-15173.png)
A.![]() | B.18 | C.27 | D.36 |
已知
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065605-46922.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065605-14909.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065605-25187.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065606-28934.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065606-12753.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065606-22248.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065606-75316.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065605-25187.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065607-55592.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065607-31328.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065607-21685.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065607-97672.png)
(Ⅰ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065607-55592.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065607-31328.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065607-21685.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065607-21685.png)
(Ⅱ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065607-13878.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065608-96353.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065608-89656.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065606-12753.png)
等差数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065558-20739.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065558-72895.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065558-64234.png)
(Ⅰ)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065558-20739.png)
(Ⅱ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065559-80711.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065559-46568.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065559-18336.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065559-42052.png)
已知等差数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065548-64155.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065549-99947.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065549-29793.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065549-75658.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065549-65133.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065549-67509.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065550-49423.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065550-13407.png)
(1)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065548-64155.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065549-67509.png)
(2)设
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065550-68057.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065550-34241.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012065550-11636.png)
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