题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012111851-34735.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012111851-86318.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012111851-71302.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012111852-35050.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012111851-86318.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012111852-13228.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012111852-51565.png)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012111852-54501.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012111853-49287.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012111851-86318.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012111852-13228.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012111852-51565.png)
核心考点
举一反三
设等差数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012111826-33066.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012111827-97547.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012111827-79620.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012111827-43567.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012111827-97547.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012111827-83309.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012111827-43567.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012111827-23108.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012111828-66388.png)
(1)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012111826-33066.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012111827-43567.png)
(2)求
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012111828-67677.png)
设数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012111807-14529.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012111807-65769.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012111807-21785.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012111807-56241.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012111807-95535.png)
(2)求证:数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012111808-54943.png)
(3)抽去数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012111807-14529.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012111808-17141.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012111808-82997.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012111808-82997.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012111808-72658.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012111809-85373.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012111809-53412.png)
已知数列{an}满足a1=
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012111743-24829.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012111728-18664.png)
(1)求数列{kn}的通项;
(2)若a1=9,设bn=
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012111728-97437.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012111728-35632.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012111728-58893.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012111729-26629.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012111729-13102.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012111729-76620.png)
(1)已知等差数列{an}的前n项和为Sn,若m+n=s+t(m,n,s,t∈N*,且m≠n,s≠t),证明;
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012111710-61878.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012111710-58293.png)
(2)注意到(1)中Sn与n的函数关系,我们得到命题:设抛物线x2=2py(p>0)的图像上有不同的四点A,B,C,D,若xA,xB,xC,xD分别是这四点的横坐标,且xA+xB=xC+xD,则AB∥CD,判定这个命题的真假,并证明你的结论
(3)我们知道椭圆和抛物线都是圆锥曲线,根据(2)中的结论,对椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012111710-68311.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012111711-51752.png)
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