题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021103-11452.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021103-57328.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021103-10979.png)
(1)求椭圆C的方程;
(2)设Q是椭圆C上的一点,过点Q的直线l 交 x 轴于点
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021103-21192.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021104-14904.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021104-84921.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021104-85778.png)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021104-49148.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021104-86328.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021104-53812.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021105-32640.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021105-90702.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021104-14904.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021105-76296.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021105-17046.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021105-76296.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021105-17046.png)
(1)由于
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021105-32959.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021106-25688.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021106-66522.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021106-89813.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021106-71940.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021107-16675.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021107-23844.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021107-73051.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021107-31173.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021107-31528.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021108-16171.png)
故所求椭圆C的方程为
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021104-84921.png)
(2) 由题意知直线l 的斜率存在.设直线l 的斜率为k , 直线l 的方程为
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021108-69616.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021105-32640.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021104-14904.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021108-77989.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021108-92112.png)
又点Q在椭圆上,所以
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021109-41639.png)
解得
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021104-85778.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021104-85778.png)
核心考点
试题【设椭圆C:的左、右焦点分别为F1、F2,A是椭圆C上的一点,,坐标原点O到直线AF1的距离为.(1)求椭圆C的方程;(2)设Q是椭圆C上的一点,过点Q的直线l 】;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/20191026/20191026021055-41356.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021055-30284.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021056-34377.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021056-45531.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021043-26855.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021043-46659.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021043-75579.png)
(1)求P值
(2)过A点作抛物线的切线交y轴于N,
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021043-26146.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021035-39576.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021036-75176.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021036-94338.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021036-28077.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021036-72792.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021026-90561.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021026-26719.png)
(Ⅰ)过点
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021026-26719.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021026-73663.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021026-74311.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021027-97433.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021027-97433.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021027-62764.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021027-62764.png)
(Ⅱ)过抛物线上一点
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021027-66113.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021027-30246.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021027-56228.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021028-22041.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021028-75527.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021028-75527.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021020-28590.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021020-65730.png)
A.
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021020-52331.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021020-83910.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021021-59173.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021021-92100.png)
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