题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023305-97357.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023305-27709.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023305-90826.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023305-93177.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023305-34508.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023305-33180.png)
(1)求R的方程;
(2)过点C的动直线m交曲线R于不同的两点M,N,问在x轴上是否存在一定点Q(Q不与C重合),使
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023305-85883.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023305-92197.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023306-31167.png)
解析
试题分析:(1)根据切线长定理可得,AB-AC=2.根据双曲线的定义可得点A的轨迹是双曲线的一支,即可得到轨迹方程.
(2)因为
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023305-85883.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023306-34061.png)
试题解析:(1)设点
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023306-87605.png)
根据双曲线定义知,点A的轨迹是以B、C为焦点,实轴长为2的双曲线的右支除去点E(1,0),故R的方程为
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023305-92197.png)
(2)设点
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023306-55275.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023306-89546.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023306-35942.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023307-51497.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023307-11448.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023307-11288.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023307-94447.png)
点
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023307-57301.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023307-28220.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023307-19536.png)
②当直线MN不与
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023307-28220.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023307-70253.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023307-61200.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023308-38159.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023308-78145.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023308-62424.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023308-96862.png)
要使
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023307-19536.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023308-93566.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023308-60185.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023309-67531.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023309-34581.png)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023309-57542.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023309-85241.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023306-31167.png)
使
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023309-25407.png)
核心考点
试题【 的内切圆与三边的切点分别为,已知,内切圆圆心,设点A的轨迹为R. (1)求R的方程;(2)过点C的动直线m交曲线R于不同的两点M,N,问在x轴上是否存在一定点】;主要考察你对双曲线的定义与方程等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023257-47874.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023257-93339.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023251-56096.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023251-90590.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023252-21562.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023245-84577.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023245-13645.png)
A.2
B.
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023245-20083.png)
C.
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023245-39977.png)
D.
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023246-98151.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023232-51637.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023233-58758.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023233-16674.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023233-72172.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023233-76021.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023234-94104.png)
A.
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023234-62118.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023234-95889.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023234-75230.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023234-46696.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023225-79696.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023225-23919.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023225-39582.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023225-23919.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023225-39582.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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