题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022013-66760.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022013-49507.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022013-75250.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022013-56253.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022013-16640.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022013-13502.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022013-56829.png)
(1)若切线
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022013-56253.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022013-16640.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022013-22144.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022014-35873.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022014-35961.png)
(2)求证:直线
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022014-80869.png)
(3)当
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022014-37674.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022014-27063.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022014-41441.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022014-49925.png)
解析
(1)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022014-47157.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022015-89203.png)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022015-37348.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022015-70656.png)
同理
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022015-99387.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022015-12579.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022016-15177.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022016-45833.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022014-35961.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022016-75793.png)
(2)因为
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022015-12579.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022016-24652.png)
(3)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022016-47127.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022017-79361.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022017-95351.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022017-10596.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022017-79361.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022018-43536.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022018-81638.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022018-67356.png)
因为
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022014-27063.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022018-83044.png)
因为
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022018-56889.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022014-27063.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022019-23610.png)
核心考点
试题【过轴上动点引抛物线的两条切线、,、为切点.(1)若切线,的斜率分别为和,求证: 为定值,并求出定值;(2)求证:直线恒过定点,并求出定点坐标; (3)当最小时,】;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
(I )求顶点A的轨迹方程;
(II) 设顶点A的轨迹与直线y=kx+m相交于不同的两点M、N,如果存在过点P(0,-
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022005-88299.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022001-32527.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022001-65496.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026022001-56504.png)
(1) 求曲线E的直角坐标方程及曲线F的普通方程;
(2)判断两直线的位置关系,若相交,求弦长,若不相交,说明理由。
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021948-19081.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021948-75431.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021949-21374.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021949-25401.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021949-82931.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021948-19081.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021949-36322.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021949-80361.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021950-84289.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021950-62264.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021950-84289.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021950-85278.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021948-19081.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021950-88673.png)
(1)若抛物线
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021948-19081.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021951-44680.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021949-25401.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021951-65042.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021951-34208.png)
(2)是否存在实数
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021951-34208.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021951-70370.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021950-88673.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021951-34208.png)
的值;若不存在,说明理由。
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021951-77371.jpg)
(1)求抛物线C的方程;
(2)过
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021940-97001.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021940-61230.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021940-28453.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021940-40442.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021940-33200.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021940-41881.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021941-66589.png)
求
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021941-35521.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021933-52949.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021933-97647.png)
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