题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190108-14677.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190108-90730.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190108-68932.gif)
(1)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190108-14677.gif)
(2)证明:Q点在以
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190109-14248.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190109-95996.gif)
(3)试判断直线QN与圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190109-95996.gif)
答案
(1)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190109-18087.gif)
(2)相切
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190109-82063.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190110-91584.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190110-95309.gif)
∴椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190108-14677.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190109-18087.gif)
(2)设
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190110-32759.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190110-71614.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190111-95125.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190111-41267.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190111-52508.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190111-78079.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190109-95996.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190111-78079.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190109-14248.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190109-95996.gif)
(3)设
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190110-32759.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190112-44540.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190111-41267.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190110-71614.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190112-14264.gif)
∴直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190112-31821.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190112-51969.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190113-12237.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190113-82890.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190113-79114.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190113-21228.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190108-68932.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190114-81958.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190114-75467.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190114-18850.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190114-35260.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190115-44159.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190115-56699.gif)
∴直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190115-95896.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190109-95996.gif)
核心考点
试题【(本小题满分15分)如图,已知椭圆:+=1(a>b>0)的长轴AB长为4,离心率e=,O为坐标原点,过B的直线l与x轴垂直.P是椭圆上异于A、B的任意一点,PH】;主要考察你对椭圆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/20191023/20191023190039-38168.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190039-38787.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190039-78359.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190039-94759.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190039-33161.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190039-33161.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190039-16241.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190039-38930.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190040-71836.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190040-45112.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190039-33161.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190040-71836.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190040-28179.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190040-90901.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190040-24570.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190040-72589.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190040-83516.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190039-38168.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190040-19463.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190040-64733.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190040-19463.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190041-80010.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190040-64733.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190041-55560.gif)
(Ⅰ)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190039-38168.gif)
(Ⅱ)设直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190040-83516.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190041-53027.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190039-38930.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190041-98736.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190041-23053.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190041-26389.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190042-62819.gif)
(Ⅲ)若实数
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190042-38629.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190042-44816.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190042-46272.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190032-84179.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190032-87140.gif)
(I)求椭圆的方程;
(II)设P为直线x=4上不同于点(4,0)的任意一点,若直线AP与椭圆相交于A的点
M,证明:
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190032-54649.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190028-68692.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190028-47848.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190015-78321.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190015-40965.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190015-51495.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190015-16208.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190015-28649.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190016-95068.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190016-71769.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190016-77581.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190016-86058.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190000-83470.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190001-74625.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190001-21391.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190001-95267.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190001-77043.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190001-10420.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190001-81420.gif)
(Ⅰ)求椭圆的方程;
(Ⅱ)证明
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023190002-61028.gif)
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