题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013044323-12699.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013044323-34891.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013044324-68707.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013044324-49657.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013044324-49657.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013044324-58723.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013044324-38042.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013044324-49174.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013044325-27323.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013044325-30688.gif)
(Ⅰ)求曲线C的方程;
(Ⅱ)试求
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013044325-24666.gif)
答案
(Ⅰ)曲线C的方程为
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013044325-74249.gif)
(Ⅱ)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013044326-44064.gif)
解析
(Ⅰ)由题意知,动圆圆心Q到点A
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013044323-12699.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013044323-34891.gif)
∴动圆圆心Q的轨迹是以点A为焦点,以直线
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013044326-20672.gif)
∴曲线C的方程为
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013044325-74249.gif)
(Ⅱ)如图,设点
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013044326-19131.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013044326-40551.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013044326-24940.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013044327-85462.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013044326-40551.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013044327-66622.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013044327-13077.jpg)
令y=0,得此切线与x轴交点的横坐标
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013044327-33830.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013044328-78956.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013044328-72452.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013044328-26076.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013044325-27323.gif)
∴数列
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013044328-16528.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013044328-46618.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013044329-30381.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013044329-74762.gif)
核心考点
试题【已知动圆Q经过点A,且与直线相切,动圆圆心Q的轨迹为曲线C,过定点作与y轴平行的直线且和曲线C相交于点M1,然后过点M1作C的切线和x轴交于点,再过作与y轴平行】;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/20191013/20191013044300-28761.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013044300-56690.gif)
所表示的平面区域为
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013044301-28659.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013044301-28659.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013044301-68258.gif)
(Ⅰ)求
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013044301-23602.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013044301-28810.gif)
(Ⅱ)设数列
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013044301-62683.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013044302-74071.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013044302-92975.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013044302-14524.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013044302-74071.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013044302-62951.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013044300-56690.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013044302-11730.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013044303-90631.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013044252-48527.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013044252-91947.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013044253-15933.gif)
A.![]() | B.![]() |
C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013044246-99748.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013044247-41464.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013044247-25720.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013044247-61174.gif)
A.![]() | B.![]() | C.![]() | D.![]() |
A.4 | B.5 | C.6 | D.7 |
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013044227-32590.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013044228-42663.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013044228-49184.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013044228-19467.gif)
(Ⅰ)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013044227-32590.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013044228-39410.gif)
(Ⅱ)是否存在等差数列
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013044229-16225.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013044229-42614.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013044229-72508.gif)
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