题目
题型:四川省模拟题难度:来源:
(1)求数列{an}的通项公式;
(2)当
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015092932-53876.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015092932-39603.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015092932-45625.png)
(3)当
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015092932-82321.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015092932-11158.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015092933-56594.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015092933-78952.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015092933-86488.png)
①-②得
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015092933-43348.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015092934-59234.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015092934-34036.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015092934-73887.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015092934-49370.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015092935-85201.png)
(2)∵
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015092935-33818.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015092935-22211.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015092935-48031.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015092936-29158.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015092936-87357.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015092936-20771.png)
证明:(3)∵
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015092936-14946.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015092937-65312.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015092937-10336.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015092937-22651.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015092937-78781.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015092938-56660.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015092938-70161.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015092938-86756.png)
又函数
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015092938-51668.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015092938-57806.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015092939-86928.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015092939-95544.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015092939-87410.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015092939-32553.png)
核心考点
试题【数列{an}的前n项和为Sn,a1=1,且对任意正整数n,点(an+1,Sn)在直线2x+y-2=0上.(1)求数列{an}的通项公式;(2)当(∈R)恒成立时】;主要考察你对数列综合等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015092918-42535.png)
(Ⅰ)求数列{an}的通项公式;
(Ⅱ)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015092918-81537.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015092907-98810.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015092908-44670.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015092908-73841.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015092908-14575.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015092908-67340.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015092909-22819.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015092909-63833.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015092909-88053.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015092909-84413.png)
对于数列{an},定义数列{an+1-an}为数列{an}的“差数列”,若a1=2,{an}的“差数列”的通项为2n,则数列{an}的前n项和Sn=( )
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015092852-10404.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015092853-23139.png)
(Ⅰ)求{an}的通项公式;
(Ⅱ)设
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015092853-41824.png)
(Ⅲ)在满足条件(Ⅱ)的情形下,设
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015092853-32408.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015092853-45152.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015092841-98986.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015092842-39485.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015092842-40148.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015092842-86469.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015092842-65530.png)
(2)设
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015092842-48927.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015092843-58407.png)
(3)在满足条件(2)的情形下,设
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015092843-74636.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015092843-69650.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015092843-30693.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015092844-72740.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015092844-96021.png)
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