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以知椭圆的两个焦点分别为F1(-c,0)和F2(c,0)(c>0),过点的直线与椭圆相交与...
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以知椭圆
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAIEAAAAxCAYAAAD9asolAAAAAXNSR0IArs4c6QAAAARnQU1BAACx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)
的两个焦点分别为F
1(-c,0)和F
2(c,0)(c>0),过点
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADoAAAAqCAYAAADibUizAAAAAXNSR0IArs4c6QAAAARnQU1BAACx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)
的直线与椭圆相交与A,B两点,且F
1A∥F
2B,|F
1A|=2|F
2B|.
(1)求椭圆的离心率;
(2)求直线AB的斜率;
(3)设点C与点A关于坐标原点对称,直线F
2B上有一点H(m,n)(m≠0)在△AF
1C的外接圆上,求
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA4AAAAjCAYAAACkejs5AAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAADxSURBVEhL7VTbDcQgDMtk2SnrZBlG6Sg+EkgB
AT21f9VdJaTSys7TJjx86CEOPwRMECJQPpKsXQeU+/vcwq45BhYkBzH0yHBlsL0sngY8FMwKlQKK
qCWDi4jG3lI1XCFax0PMsdTUs1+lafFLqhN71JmgVzVO7EbkXbZmfanx7s6+aVdtdndPG8fdzpxz
/AM3shr2MpRfdzTJKLWOoqkjayq5iKsTGMi/0dIFHOjqEIGaFAzAAvHLrNMI6kBjpar24gTVPryM
tbQyMEzKYw9O4CQb0yFPLX4OEYIk17lQM1maJ2lP4pnsXeBNQn6gKId8AHf28Zoc0Y8kAAAAAElF
TkSuQmCC
)
的值.
相关试题
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以知椭圆
的两个焦点分别为F1(-c,0)和F2(c,0)(c>0),过点
的直线与椭圆相交与A,B两点,且F1A∥F2B,|F1A|=2|F2B|.
(1)求椭圆的离心率;
(2)求直线AB的斜率;
(3)设点C与点A关于坐标原点对称,直线F2B上有一点H(m,n)(m≠0)在△AF1C的外接圆上,求
的值.
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(1)求椭圆的离心率;
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