题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033717-98044.gif)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033717-59114.gif)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033718-82663.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033718-28932.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033718-84128.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033718-73462.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033718-90631.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033719-10342.gif)
故抛物线方程为
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033719-31041.gif)
于是抛物线的焦点
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033719-67050.gif)
∴ 点
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033719-55634.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033719-42710.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033720-90096.gif)
核心考点
试题【在平面直角坐标系XOY中,A,B分别为直线x+y=2与x、y轴的交点,C为AB的中点. 若抛物线(p>0)过点C,求焦点F到直线AB的距离.】;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
(文)已知
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033708-18660.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033708-43572.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033708-80509.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033708-43572.gif)
(1)、求轨迹E的方程;(5分)
(2)、如果过点Q(0,m)且方向向量为
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033708-10241.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033708-34901.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033709-93325.gif)
已知
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033656-14931.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033656-70890.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033657-85488.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033657-66809.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033657-25390.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033657-68660.gif)
(Ⅰ)求轨迹
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033657-68660.gif)
(Ⅱ)过点F2(1
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033657-93277.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033657-68660.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033658-47293.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033658-83953.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033658-48799.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033643-57495.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033643-60069.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033643-65447.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033644-60334.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033644-46621.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033644-14699.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033644-46621.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033644-53700.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033644-39558.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033645-34356.gif)
(1)试用
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033645-21643.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033645-61647.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033645-26904.gif)
(2)若C的方程为
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033646-84462.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033646-18155.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033644-60334.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033646-21266.gif)
(3)请选定一条除椭圆外的圆锥曲线C,试探究
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033645-61647.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033645-26904.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033646-83074.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033644-60334.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033646-21266.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033637-39001.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033637-29421.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033637-29771.gif)
(1)试求动点P的轨迹方程C.
(2)设直线
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033638-41602.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033626-78636.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033626-76041.gif)
(1)求动点
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033626-56244.gif)
(2)设A、B是轨迹
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033626-56244.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033627-70159.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033627-83163.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033627-50353.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033627-44157.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033627-41459.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033627-64311.gif)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033627-58052.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033627-83651.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026033628-33762.gif)
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