题目
题型:不详难度:来源:
已知动点
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026035146-28829.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026035147-56830.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026035147-95016.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026035147-79133.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026035147-83729.gif)
(Ⅰ)求动点
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026035147-64202.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026035147-40795.gif)
(Ⅱ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026035147-94943.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026035147-44026.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026035147-40795.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026035148-92018.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026035148-60716.gif)
点,并求出其坐标.
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026035148-69472.gif)
(Ⅱ)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026035148-65292.gif)
解析
(Ⅰ)由已知题意得
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026035149-29482.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026035148-69472.gif)
(Ⅱ)设
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026035149-87428.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026035149-59433.gif)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026035149-52943.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026035149-80601.gif)
因为
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026035148-92018.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026035150-79763.gif)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026035150-31516.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026035150-47805.gif)
则直线
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026035148-60716.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026035150-25171.gif)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026035150-12416.gif)
令
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026035151-35904.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026035151-48137.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026035148-65292.gif)
核心考点
试题【(本小题满分12分)已知动点()到定点的距离与到轴的距离之差为.(Ⅰ)求动点的轨迹的方程;(Ⅱ)若,为上两动点,且,求证:直线必过一定点,并求出其坐标.】;主要考察你对曲线与方程的应用等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026035139-29573.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026035140-29354.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026035140-58769.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026035140-18933.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026035135-86765.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026035135-44122.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026035129-46263.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026035129-82585.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026035130-48654.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026035130-48654.gif)
(1)求曲线
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026035130-81472.gif)
(2)求
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026035130-14044.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026035119-66233.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026035119-78478.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026035120-49004.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026035120-24862.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026035120-80185.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026035120-40924.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026035121-13668.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026035121-76815.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026035120-40924.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026035121-94110.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026035121-45919.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026035121-41035.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026035122-96105.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026035122-85263.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026035110-58511.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026035111-60304.gif)
(Ⅰ) 求动圆圆心P的轨迹E的方程;
(Ⅱ) 设直线
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026035111-36898.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026035111-69186.gif)
① 证明:轨迹E点N处的切线
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026035111-61661.gif)
② 是否存在实数
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026035111-21214.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026035112-79823.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026035111-21214.gif)
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