题目
题型:不详难度:来源:
已知数列
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064505-52516.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064505-17664.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064505-51962.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064505-17664.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064506-54431.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064506-21805.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064506-54431.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064506-77005.gif)
(Ⅰ)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064505-52516.gif)
(Ⅱ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064506-44271.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064507-76682.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064505-17664.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064507-14620.gif)
(Ⅲ)设
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064507-93498.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064507-16971.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064507-88220.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064508-78894.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064508-36893.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064508-33395.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064508-35813.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064507-88220.gif)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064509-55087.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064509-76784.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064509-71712.gif)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064506-54431.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064509-86501.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064510-77696.gif)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064510-87238.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064510-95280.gif)
所以数列
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064510-48022.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064509-55087.gif)
(Ⅱ)由
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064509-86501.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064510-43655.gif)
而在
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064506-54431.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064511-85184.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064511-75972.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064511-74804.gif)
故
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064511-62850.gif)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064512-70982.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064512-16126.gif)
整理得
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064509-76784.gif)
(Ⅲ)由
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064512-15367.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064512-78647.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064512-58089.gif)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064513-59798.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064513-90452.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064513-35094.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064513-94070.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064514-67135.gif)
于是等差数列
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064514-39715.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064514-87569.gif)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064514-74106.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064514-39715.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064509-71712.gif)
核心考点
试题【(本小题满分14分)已知数列的前项和为,对一切正整数,点都在函数的图象上,且在点处的切线的斜率为.(Ⅰ)求数列的通项公式;(Ⅱ)若,求数列的前项和;(Ⅲ)设,,】;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/20191013/20191013064453-43688.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064453-41065.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064453-93468.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064454-40214.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064454-33003.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064442-58369.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064443-47379.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064443-47379.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064443-39055.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064443-90768.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064443-80632.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064443-45976.gif)
(Ⅰ)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064442-58369.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064443-90768.gif)
(Ⅱ)设
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064444-49132.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064444-86852.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064444-86315.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064444-65592.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064432-36428.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064432-26660.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064432-91016.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064432-33317.gif)
(Ⅰ)求
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064433-88494.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064433-78455.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064433-49152.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064433-54461.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064433-37840.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064434-57709.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064434-50336.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064434-33483.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064424-37074.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064409-91805.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064409-42229.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064409-45139.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013064410-93323.gif)
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