题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010082339-14887.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010082339-58013.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010082339-90292.png)
(Ⅰ)设
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010082340-49910.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010082340-78743.png)
(Ⅱ)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010082339-14887.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010082340-99615.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010082340-80549.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010082341-71147.png)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010082339-90292.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010082341-52267.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010082341-93646.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010082340-78743.png)
(II)先求出
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010082340-78743.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010082341-97598.png)
解:(1)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010082339-90292.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010082341-93646.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010082341-25960.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010082342-95031.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010082342-91263.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010082342-46157.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010082341-97598.png)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010082342-55870.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010082343-31439.png)
两式相减,得
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010082343-91420.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010082319-72532.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010082319-64790.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010082320-58588.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010082320-84903.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010082320-37592.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010082319-64790.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010082320-52194.png)
(Ⅰ)若存在
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010082320-70271.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010082321-53376.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010082319-64790.png)
(Ⅱ)是否存在
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010082319-64790.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010082321-90868.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010082320-84903.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010082319-64790.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010082245-41623.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010082245-30412.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010082245-87057.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010082246-83974.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010082246-50736.png)
(Ⅰ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010082246-29357.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010082245-30412.png)
(Ⅱ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010082246-81391.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010082246-83974.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010082245-30412.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010082103-58695.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010082103-87391.png)
(1) 求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010082103-58695.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010082103-98655.png)
(2) 数列
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010082104-87033.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010082104-71168.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010082104-87033.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010082104-72552.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010082104-72552.png)
已知a1=1,d=2,
①求当n∈N*时,
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010082022-31283.png)
②当n∈N*时,求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010082023-57467.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010082023-44538.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010082023-93555.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010082023-48454.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010082016-42948.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010082016-42431.png)
A.15 | B.30 | C. 31 | D. 64 |
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