题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013903-57384.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013903-25985.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013903-85084.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013903-14138.png)
(Ⅰ)求常数p的值;
(Ⅱ)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013903-25985.png)
(Ⅲ)记
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013904-58628.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013903-85084.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013904-16713.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013904-66849.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013904-84763.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013904-79137.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013905-25524.png)
解析
试题分析:(1)由
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013905-93794.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013905-34445.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013905-97543.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013906-20982.png)
(2)由
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013906-98232.png)
得
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013906-86021.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013906-92784.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013907-90820.png)
由②—①,得
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013907-59358.png)
即:
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013907-92527.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013907-25391.png)
由于数列
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013908-17097.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013908-24028.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013908-59599.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013906-92784.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013907-90820.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013908-35468.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013908-17097.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013909-91778.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013909-20016.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013908-35468.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013908-17097.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013904-79137.png)
(3)由题意,数列
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013909-54917.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013910-70298.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013910-84903.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013910-70298.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013907-90820.png)
(2)可得
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013910-88921.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013910-27682.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013910-10889.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013905-25524.png)
点评:关于数列方面的命题主要有以下三个方面:(1)数列本身的有关知识,其中有等差数列、等比数列的概念、性质、通项公式及求和公式;(2)数列与其他知识结合,其中有数列与函数、方程、不等式、三角、几何的结合以及探索性问题
核心考点
试题【(满分13分)已知各项均为正数的数列是数列的前n项和,对任意,有2Sn=2.(Ⅰ)求常数p的值; (Ⅱ)求数列的通项公式;(Ⅲ)记,()若数列从第二项起每一项都】;主要考察你对等差数列等知识点的理解。[详细]
举一反三
在数列
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013832-76614.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013832-19334.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013832-57067.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013833-41171.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013833-72956.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013833-68369.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013834-53492.png)
(2)猜想
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013832-76614.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013813-41562.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013814-89984.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013814-18720.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013814-21229.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013814-51516.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013814-89984.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013815-84817.png)
(1)若
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013815-56624.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013815-74687.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013815-89808.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013815-97277.png)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013816-53631.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013815-89808.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013814-18720.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013814-89984.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013813-41562.png)
(3)是否存在这样的正数
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013814-18720.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013814-89984.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013814-18720.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013531-88608.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013532-25196.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013532-61320.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013532-84690.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013531-88608.png)
(2)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013533-91825.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013532-25196.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013533-27042.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013519-19953.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013519-84134.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013519-31239.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013519-79052.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013519-56117.png)
(Ⅰ)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013519-19953.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013520-99248.png)
(Ⅱ)若数列
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013520-44082.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013520-38370.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013520-98188.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013521-87224.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013519-84134.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013521-71208.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013502-64463.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013502-99105.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013502-73763.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013503-16279.png)
(1)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013502-64463.png)
(2)设
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013503-79773.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010013503-72179.png)
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