题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140005-29719.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140005-83410.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140005-95568.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140006-21806.png)
(1)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140005-29719.png)
(2)若过原点
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140006-91679.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140006-51578.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140006-13092.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140006-91679.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140006-19506.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140006-61597.png)
解析
试题分析:(1)由离心率
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140007-69113.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140007-32629.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140007-86909.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140007-79766.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140008-59802.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140006-91679.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140006-19506.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140008-36722.png)
试题解析:(1)由右焦点为(
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140006-21806.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140008-43420.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140007-69113.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140008-39228.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140008-54656.png)
那么
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140006-61597.png)
(2) 设
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140007-32629.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140007-86909.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140009-61602.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140007-79766.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140009-41844.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140009-69372.png)
有OA⊥OB知x1x2+y1y2=x1x2+(k x1+m) (k x2+m)=(1+k2) x1x2+k m(x1+x2)=0 10分
代入,得4 m2=3 k2+3原点到直线AB的距离d=
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140008-36722.png)
当AB的斜率不存在时,
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140009-96871.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140010-58276.png)
所以点O到直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140006-19506.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140010-98214.png)
核心考点
试题【已知椭圆:的离心率为,右焦点为(,0).(1)求椭圆的方程; (2)若过原点作两条互相垂直的射线,与椭圆交于,两点,求证:点到直线的距离为定值.】;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/20191023/20191023135950-75040.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023135950-86425.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023135950-53071.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023135950-67761.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023135951-18637.jpg)
(1)求椭圆C的方程和焦点坐标;
(2)作与AB平行的直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023135951-54738.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023135951-19037.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023135951-54738.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023135944-59799.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023135944-52905.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023135944-62193.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023135932-10327.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023135932-59323.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023135933-68132.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023135933-40959.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023135933-87216.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023135933-38876.png)
(1)求椭圆的方程;
(2)求
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023135934-22374.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023135919-88427.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023135919-53553.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023135919-42712.png)
(1)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023135919-99431.png)
(2)直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023135920-42103.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023135919-99431.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023135920-79602.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023135920-61646.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023135919-99431.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023135920-46425.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023135920-13751.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023135920-84248.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023135921-63600.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023135921-48748.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023135921-65106.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023135907-96781.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023135907-27087.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023135908-23817.png)
(1)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023135908-24126.png)
(2)若直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023135908-29141.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023135908-74280.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023135908-74820.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023135908-24126.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023135909-69245.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023135909-46438.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023135908-74280.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023135909-63150.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023135909-64249.png)
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