题目
题型:不详难度:来源:
已知点F1,F
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023194139-39444.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023194139-99707.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023194140-98204.gif)
(1)设
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023194140-97786.gif)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023194140-14626.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023194140-52751.gif)
(3)若
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023194141-74327.gif)
答案
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023194141-92884.gif)
设
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023194141-55239.gif)
则由
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023194141-97606.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023194142-77441.gif)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023194142-70426.gif)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023194142-53781.gif)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023194142-62052.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023194143-42591.gif)
(2)由(1)知:
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023194143-41514.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023194143-60504.gif)
由弦长公式得
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023194143-15854.gif)
解得
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023194144-25557.gif)
核心考点
试题【(本小题满分13分)已知点F1,F2为椭圆的两个焦点,点O为坐标原点,圆O是以F1,F2为直径的圆,一条直线与圆O相切并与椭圆交于不同的两点A,B。(1)设的表】;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/20191023/20191023194133-72683.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023194133-89638.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023194134-70684.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023194134-69477.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023194134-11523.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023194134-29916.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023194135-72536.gif)
点M在椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023194111-11429.gif)
(I)若圆M与y轴相交于A、B两点,且△ABM是边长为2的正三角形,求椭圆的方程;
(II)已知点F(1,0),设过点F的直线l交椭圆于C、D两点,若直线l绕点F任意转动时,恒有
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023194111-31806.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023194111-90829.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023194105-35505.gif)
A.10 | B.7 | C.10或4 | D.7或5 |
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023194049-43424.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023194050-34688.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023194050-85984.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023194050-90933.gif)
(1)求椭圆C的方程;
(2)若直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023194050-39065.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023194051-80376.gif)
已知椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023194036-50273.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023194037-59004.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023194037-76760.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023194037-45397.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023194037-82334.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023194037-49879.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023194037-51502.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023194037-16648.gif)
(Ⅰ) 求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023194037-82334.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023194037-76760.gif)
(Ⅱ)判断以
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023194038-67460.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023194037-82334.gif)
(Ⅲ)若点
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023194038-95986.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023194038-82528.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023194038-14498.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023194038-90303.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023194038-82528.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023194039-57626.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023194038-82528.gif)
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