题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031632-41478.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031632-22302.gif)
(1)求曲线C的方程。
(2)过点F(1,0)作倾斜角为
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031633-45214.gif)
(3)过点F(1,0)作斜率为k 的直线交曲线C于M、N 两点,求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031633-32054.gif)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031633-15082.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031632-22302.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031633-65207.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031634-90337.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031634-84100.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031634-83542.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031634-58237.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031634-80853.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031635-89976.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031635-11599.gif)
![]() |
(3) 消去x 并整理得:
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031635-38577.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031636-44322.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031636-75777.gif)
![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031636-89225.gif)
解析
核心考点
试题【若曲线C上的点到直线的距离比它到点F的距离大1,(1)求曲线C的方程。(2)过点F(1,0)作倾斜角为的直线交曲线C于A、B两点,求AB的长(3)过点F(1,0】;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
如图,已知两定点
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031615-64852.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031615-30000.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031615-85590.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031615-94812.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031615-56635.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031615-85590.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031616-53159.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031616-85556.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031616-38833.gif)
(Ⅰ)求动点
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031615-56635.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031616-52298.gif)
(Ⅱ)是否存在过点
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031617-57753.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031617-30123.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031617-30123.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031616-52298.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031617-30658.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031617-54408.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031617-87524.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031621-13942.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031617-30123.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031610-63244.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031611-38393.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031611-57290.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031611-16416.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031611-33972.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031612-27713.gif)
如图,点
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031556-26656.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031556-91828.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031556-46123.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031556-97005.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031557-74121.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031557-28535.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031556-97005.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031557-44465.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031557-12931.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031556-97005.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031558-68326.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031558-32740.gif)
(Ⅰ)求曲线
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031558-68326.gif)
(Ⅱ)过右焦点
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031558-24637.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031558-59147.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031558-68326.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031558-33890.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031559-78851.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031559-68930.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031559-78851.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031557-74121.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031559-45642.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031559-27303.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031552-39179.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031552-92434.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031552-98332.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031552-56797.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031547-77299.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031547-34618.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031547-20367.gif)
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