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点P为双曲线C1:和圆C2:x2+y2=a2+b2的一个交点,且2∠PF1F2=∠PF2F...
试题详情
点P为双曲线C
1:
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJkAAAAxCAYAAADJEws5AAAAAXNSR0IArs4c6QAAAARnQU1BAACx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)
和圆C
2:x
2+y
2=a
2+b
2的一个交点,且2∠PF
1F
2=∠PF
2F
1,其中F
1,F
2为双曲线C
1的两个焦点,则双曲线C
1的离心率为( )
A.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA8AAAASCAYAAACEnoQPAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAALtJREFU
OE/Nk9sVhCAMRENH9EMXFEET9EAB1ME59pAmsgmPFRF15Wv5UuQymUlUxAuGpZQat+bvAo+LT862
z+f+HMZIlq2IHfDpW+zU3NFzIm8jYUb4mS9o/DOMWMEimPwbuE80+bdl74oLnjvpGpyNJYFnz8Mg
YLQENUCgYEoLwOwtuJuwzjeEEDLkNJB2WynnEkaKdpZ2rqCoH2BRagPS9fjk2fBHUV/6MTanCbRb
g6UUUV9SbnH/Cn8A/r2EUaEPy7EAAAAASUVORK5CYII=
)
B.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB8AAAASCAYAAACjMAXnAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAAQNJREFU
SEvFlI0NhCAMhWEj9nELhmCJ7sAAzEHiDizRa1HwjzvgDk8SE01qv76+Uol0xOAjpWzLyPDRh8hN
KduimlJtQf3w4FALjS50kgrhfXAP7Ds9FTjFga8Xd4Hn/MTQDpO+Xds9wh1w7miumBlUwPp9Ozx4
n5Vyz4LTWX0V7oHtePdA0YOPnrMF/1J+ro7FJBeqyg8/fztwKcnBf1puW/KbBi4DAjoNuL8sv8Pt
tM7ElDElzz1cr/ECjwtmG6qWu5xI1tr4apRAZeb4fobzhB9yrvaNW6+xA4v6Pbx8W5b2j4NTsom6
x+r71mt9YzZFzEahUOYZOFfI6h9RntrTCn8BwYR+BrKgjSYAAAAASUVORK5CYII=
)
C.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB8AAAASCAYAAACjMAXnAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAAQFJREFU
SEvdVIENhCAMLBuxj1swBEuwAwMwB4k7sES/BUQkYJT8a/IkJj71OO7aP4G0oFlCiHar+7sDvYQr
HzF5u6jY2/76Xpfl/8iDQwUKXdgNvKY8AoFnA8H4vv3e4KiEVIvY++QejXKYLkzvdEiX5Iy8YO8q
DyETJ8HePElem8z2VbL5IsnO3mPIpwOYXLurPOML0UzPp22vL58HT9Uju9V/0vNmtoNTCGUAq+IU
uV1yz5Zy0mnINH0voBlya23Eawko9Rrfx+QBnRpM+1n41jlR/VX3kIkOJPUH8hIQaaKHQTKR/IeE
W+hwVv9Ktq9aIkj9Djk7x+pfUb617SnyD1eQgZClFiD2AAAAAElFTkSuQmCC
)
D.2
相关试题
-
点P是双曲线
与圆C2:x2+y2=a2+b2的一个交点,且2∠PF1F2=∠PF2F1,其中F1、F2分别为双曲线C1的左右焦点,则双曲线C1的离心率为( )
A.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB8AAAASCAYAAACjMAXnAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAADzSURBVEhL7ZS9DcQgDIU9FwXj0LMJNYPQMkgK
RvHxf1gHERAlaQ4pEiHBH89+GLAzAABnnt7elTUYwVeC7P77h5PMhXqT4TTy4gNp97IcY3DU7rt9
Iu0WJdeY9vi5P0SXb2V/PW6T2cCrcOcyOJ3Yyg14PfgqvE1yUDBK+5nyq/CgON79Bl7Xun1B+iKR
k/uSXVGejcdb15T4dyovDKc5QjVgo2wLbkR2oqiRfq7aTN134MaYGFoxQKaOOB/DHWp+h9tjBpJ6
Aq93NBluq8e0TaqJQZqM8B+C+tO0EwdfeyHwQzEEpt6BBx1B/SvKSxKfgn8A6VHIaAIAAEQAAAAA
SUVORK5CYII=
)
B.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB8AAAAkCAYAAABxE+FXAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAFqSURBVFhH7ZZBEsMgCEU5VxYeJ3tvkrUHydaD
dOFRqFhrtYoVk3SVzHQmkxEefCgC2HgAAEd+LVvJN+DgEiezZ294oRzVu3is/vSAtnKVnUEFCo0r
TQdkt6gT0L/7wET8FPgM3DnMA7aagXsIHxQFPQPPlHJGIXCE6+AOjYr//f/DY/qhcQBV7BwqATuM
iiA52fc1OliTwFW3j0g/I/u+78H1tgAu2yO89+BI3duSfgaekgoKvLLn4VT7umuD0SG4t199PSn7
HB46PF00DLg3dmKfvH3kohVD5rEtCMvWl10+31iLasJR9t2aXwn/2XBXw0/033XlFR7bWs4+FxT+
V5Ytzg2XqZ9vNsoU973EkVx2mlhfmw17x/+IRAx31haZhvE7mb0YXiXD3XID+h+Gszvd5fCi/gO0
ryMHMqe7XaOVM5PFNNzqibv9jMypw8v9sLez89KIM29vrHPyi+EHSlyZ3vAz1Rz29QRQrvB1eo8E
GgAAAABJRU5ErkJggg==
)
C.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB8AAAAkCAYAAABxE+FXAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAFqSURBVFhH7ZZBEoMgDEU5lwuO456buOYgbnOQ
LjhKSqiDRQKajLjSmc502uBL/o8xBpnLGINXPtxZyW+mBZfcRBv7wgvlyO/jFbzd+8B6DBKtg0dr
LPrDoYuyAzoHEtweC25LWgsHX2VdZRIh7fxi8rrKA3q7PXo9ucfA/xWkJGr5UsRoODFS4236gusM
o8KDluzrvDXEnEvkuj3/SZ3Lya+pfF3XdN9lMjgtn/T9FM51lgaeK0oK/KrvwcEN8nyOw4WqL+Bp
QOzeih/3zvliyHyWCc209GXXjRr2VDXhqPqu5yPhZ57fyEZ2tt8J6N0rKnxta7k7Lin8VJUc54XL
1M8LQuwX6VbzR5LLThMrjzl6W8UExGPvl4EYHgCK/S29YpXVi+GVP2TBU5Uf4bRQKNly2Qt44b+s
Z1We7whaLB2CnJlPqD1vLhWCZFRw6vByP+zt7O1sxHB+Y9XJL4YLVD0NfeGnEo0I+AIvgvXvWkP8
egAAAABJRU5ErkJggg==
)
D.
-
点P是双曲线
与圆C2:x2+y2=a2+b2的一个交点,且2∠PF1F2=∠PF2F1,其中F1、F2分别为双曲线C1的左右焦点,则双曲线C1的离心率为( )
A.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB8AAAASCAYAAACjMAXnAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAAQFJREFU
SEvdVIENhCAMLBuxj1swBEuwAwMwB4k7sES/BUQkYJT8a/IkJj71OO7aP4G0oFlCiHar+7sDvYQr
HzF5u6jY2/76Xpfl/8iDQwUKXdgNvKY8AoFnA8H4vv3e4KiEVIvY++QejXKYLkzvdEiX5Iy8YO8q
DyETJ8HePElem8z2VbL5IsnO3mPIpwOYXLurPOML0UzPp22vL58HT9Uju9V/0vNmtoNTCGUAq+IU
uV1yz5Zy0mnINH0voBlya23Eawko9Rrfx+QBnRpM+1n41jlR/VX3kIkOJPUH8hIQaaKHQTKR/IeE
W+hwVv9Ktq9aIkj9Djk7x+pfUb617SnyD1eQgZClFiD2AAAAAElFTkSuQmCC
)
B.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB8AAAAkCAYAAABxE+FXAAAAAXNSR0IArs4c6QAAAARnQU1BAACx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=
)
C.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB8AAAAkCAYAAABxE+FXAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAAXBJREFU
WEftV+0RgyAM1Y3cxy0YwiXYwQGYg7vuwBIpwVYFIRCg/eHpnXeVEl/eywdxBHsNwTWOY7gUfY6Y
FtntmxA8vOyfseXua1GUe4EbBWIQoIwvXjFzowTmxnYLBcF70iHR8mNXDa5BSk3H3IKkt1j7auZa
XSS7ePIbcANKFMj9G/CDo5boxBG77TlxezFokf2ksUu8WHCrmK/zx/t5hyDrHMsmlu014Ou6OtBl
GmBaXu53Frwb8y9fp8DGngLX8lqvZA26BnPkxdlvr8nMdhOy98AJ49Zm74G/lgmGaaFlb0U82V/a
K7K/18GSUOs/B3cKPNmhUp2r07qrqo75w37VA14u2T6ZMCeaCAJPdux2e3/EY9I6kJtwCFoscKO1
N7u545UzzwWOsMBjo9PfmIfgOMk0qN5Q5178y/P1vLNSdhwqJWSG6axHVeDsgaLXwYIZ7g+m1McC
TZ7FPD4q18vPAs8GkbnhAWcK1mf7Gy4YtYRLaHmPAAAAAElFTkSuQmCC
)
D.
-
点P是双曲线
与圆C2:x2+y2=a2+b2的一个交点,且2∠PF1F2=∠PF2F1,其中F1、F2分别为双曲线C1的左右焦点,则双曲线C1的离心率为( )
A.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB8AAAASCAYAAACjMAXnAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAAQFJREFU
SEvdVIENhCAMLBuxj1swBEuwAwMwB4k7sES/BUQkYJT8a/IkJj71OO7aP4G0oFlCiHar+7sDvYQr
HzF5u6jY2/76Xpfl/8iDQwUKXdgNvKY8AoFnA8H4vv3e4KiEVIvY++QejXKYLkzvdEiX5Iy8YO8q
DyETJ8HePElem8z2VbL5IsnO3mPIpwOYXLurPOML0UzPp22vL58HT9Uju9V/0vNmtoNTCGUAq+IU
uV1yz5Zy0mnINH0voBlya23Eawko9Rrfx+QBnRpM+1n41jlR/VX3kIkOJPUH8hIQaaKHQTKR/IeE
W+hwVv9Ktq9aIkj9Djk7x+pfUb617SnyD1eQgZClFiD2AAAAAElFTkSuQmCC
)
B.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB8AAAAkCAYAAABxE+FXAAAAAXNSR0IArs4c6QAAAARnQU1BAACx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=
)
C.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB8AAAAkCAYAAABxE+FXAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAAXBJREFU
WEftV+0RgyAM1Y3cxy0YwiXYwQGYg7vuwBIpwVYFIRCg/eHpnXeVEl/eywdxBHsNwTWOY7gUfY6Y
FtntmxA8vOyfseXua1GUe4EbBWIQoIwvXjFzowTmxnYLBcF70iHR8mNXDa5BSk3H3IKkt1j7auZa
XSS7ePIbcANKFMj9G/CDo5boxBG77TlxezFokf2ksUu8WHCrmK/zx/t5hyDrHMsmlu014Ou6OtBl
GmBaXu53Frwb8y9fp8DGngLX8lqvZA26BnPkxdlvr8nMdhOy98AJ49Zm74G/lgmGaaFlb0U82V/a
K7K/18GSUOs/B3cKPNmhUp2r07qrqo75w37VA14u2T6ZMCeaCAJPdux2e3/EY9I6kJtwCFoscKO1
N7u545UzzwWOsMBjo9PfmIfgOMk0qN5Q5178y/P1vLNSdhwqJWSG6axHVeDsgaLXwYIZ7g+m1McC
TZ7FPD4q18vPAs8GkbnhAWcK1mf7Gy4YtYRLaHmPAAAAAElFTkSuQmCC
)
D.
-
点P是双曲线
与圆C2:x2+y2=a2+b2的一个交点,且2∠PF1F2=∠PF2F1,其中F1、F2分别为双曲线C1的左右焦点,则双曲线C1的离心率为( )
A.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB8AAAASCAYAAACjMAXnAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAAQFJREFU
SEvdVIENhCAMLBuxj1swBEuwAwMwB4k7sES/BUQkYJT8a/IkJj71OO7aP4G0oFlCiHar+7sDvYQr
HzF5u6jY2/76Xpfl/8iDQwUKXdgNvKY8AoFnA8H4vv3e4KiEVIvY++QejXKYLkzvdEiX5Iy8YO8q
DyETJ8HePElem8z2VbL5IsnO3mPIpwOYXLurPOML0UzPp22vL58HT9Uju9V/0vNmtoNTCGUAq+IU
uV1yz5Zy0mnINH0voBlya23Eawko9Rrfx+QBnRpM+1n41jlR/VX3kIkOJPUH8hIQaaKHQTKR/IeE
W+hwVv9Ktq9aIkj9Djk7x+pfUb617SnyD1eQgZClFiD2AAAAAElFTkSuQmCC
)
B.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB8AAAAkCAYAAABxE+FXAAAAAXNSR0IArs4c6QAAAARnQU1BAACx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=
)
C.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB8AAAAkCAYAAABxE+FXAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAAXBJREFU
WEftV+0RgyAM1Y3cxy0YwiXYwQGYg7vuwBIpwVYFIRCg/eHpnXeVEl/eywdxBHsNwTWOY7gUfY6Y
FtntmxA8vOyfseXua1GUe4EbBWIQoIwvXjFzowTmxnYLBcF70iHR8mNXDa5BSk3H3IKkt1j7auZa
XSS7ePIbcANKFMj9G/CDo5boxBG77TlxezFokf2ksUu8WHCrmK/zx/t5hyDrHMsmlu014Ou6OtBl
GmBaXu53Frwb8y9fp8DGngLX8lqvZA26BnPkxdlvr8nMdhOy98AJ49Zm74G/lgmGaaFlb0U82V/a
K7K/18GSUOs/B3cKPNmhUp2r07qrqo75w37VA14u2T6ZMCeaCAJPdux2e3/EY9I6kJtwCFoscKO1
N7u545UzzwWOsMBjo9PfmIfgOMk0qN5Q5178y/P1vLNSdhwqJWSG6axHVeDsgaLXwYIZ7g+m1McC
TZ7FPD4q18vPAs8GkbnhAWcK1mf7Gy4YtYRLaHmPAAAAAElFTkSuQmCC
)
D.
-
点P为双曲线C1:
和圆C2:x2+y2=a2+b2的一个交点,且2∠PF1F2=∠PF2F1,其中F1,F2为双曲线C1的两个焦点,则双曲线C1的离心率为( )
A.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA8AAAASCAYAAACEnoQPAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAC0SURBVDhPzZNNDsAQEIXnXBaOY+8m1g5i6yBd
zFFe/bY0pGpViUTEN+/NA2EwiAhLcwaP9p979HOYLWTNQfvL7IJtDy0tOCFhHYpU/h1mLmAW9PoL
3CbqNeib7Vsx3f0OnEqU4KTNCbz3/HgIbCWoBEhwqjxFdV9BsDcdTd/knEvnjCAIc2Q7U5hh5Sjt
5CCrd3BUaj5Kk1ffswqHovpcuW+ma+4wAiTMHhzrRvUt5WpqFT4BvDKYovKwNAUAAAAASUVORK5C
YII=
)
B.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB8AAAASCAYAAACjMAXnAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAADrSURBVEhL1ZRBDoQgDEV7LhYcx31vwpqDsOUg
LjhKxwIiDkQ7UTRDYqKh8vjtb4EGLAAg0TOAHcGSJYuSnFTF/Bk8WNKgyYYfZXbCG+UeNw9oSysi
pb1snsCXOPTnl9vBWVT5yROyGfN3VXPeuB8evC9K+drBaoKsfji8yRNnWarc41HPYrcGR27n89Yq
PKt8V3+iB+GBrEaq/Xod7qbcRlMpQS/tHlszX4Y75yLUKCBl5vj+DWeH71o0t2yCxwGzGUvSy43T
YgaS+hreN2xK/62zfVoEsPpXZvtsFIEy78A55az+FeWrD6TwD4gIxzM17L0YAAAAAElFTkSuQmCC
)
C.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB8AAAASCAYAAACjMAXnAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAADzSURBVEhL7ZS9DcQgDIU9FwXj0LMJNYPQMkgK
RvHxf1gHERAlaQ4pEiHBH89+GLAzAABnnt7elTUYwVeC7P77h5PMhXqT4TTy4gNp97IcY3DU7rt9
Iu0WJdeY9vi5P0SXb2V/PW6T2cCrcOcyOJ3Yyg14PfgqvE1yUDBK+5nyq/CgON79Bl7Xun1B+iKR
k/uSXVGejcdb15T4dyovDKc5QjVgo2wLbkR2oqiRfq7aTN134MaYGFoxQKaOOB/DHWp+h9tjBpJ6
Aq93NBluq8e0TaqJQZqM8B+C+tO0EwdfeyHwQzEEpt6BBx1B/SvKSxKfgn8A6VHIaAIAAEQAAAAA
SUVORK5CYII=
)
D.2
-
点P为双曲线C1:
和圆C2:x2+y2=a2+b2的一个交点,且2∠PF1F2=∠PF2F1,其中F1,F2为双曲线C1的两个焦点,则双曲线C1的离心率为( )
A.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA8AAAASCAYAAACEnoQPAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAACoSURBVDhPzZC7DQQhDAVdFwHlkNMJMYWQUsgG
LuUdxl4JpN07ILqRLFmYkT+EB4hoLez/hBRW+HeZM7zsKBGrPS7JFdFn8J232u3/lplNVGrckUdq
3B1bkY4HOw/Y4XzWRfbkBmcPsgMSStBxKGi18U0e96ZSSk+SI7h09fxdZmT/dO0+gXafZOnUJ9MY
7jXvHFpRur93npl+XcmBXDqTBel+LAtrMvABvDKYogJWgwAAAAAASUVORK5CYII=
)
B.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB8AAAASCAYAAACjMAXnAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAADiSURBVEhL7ZS9DcQgDIU9FwXjpPcm1AxC60FS
MIovBoeEI3eHRH6aexIKBONPz0YAXyAA6Bsaf6okcY/+cObo2YJlH3U9oAZOmHssw3peETmqbP6A
L3FIOv+iCi6myiFiFI6ud1GycT48EhWnouhtcX85vJFUudc5ofbqcKBG1ZK9T5J8q4F7nVf9vxUe
2VtcKJvG4WHSFkz64xhO2OYehocQ0tcZYOPmNH+Hyw2vzmmeHJUemO0i9ZS2UapAdr+HH1/YXP62
PgOalsTifg//plPhszMMxj0DF4n7x+CiPjjzC4gIxzOspkD8AAAAAElFTkSuQmCC
)
C.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB8AAAASCAYAAACjMAXnAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAADdSURBVEhL7ZRNDoQgDEZ7LhYcxz03Yc1B2HIQ
Fxyl0xbGlAwYfyJu5iUkWJTnV4mAHQDg0LjLUD6Dv7zhR54DWqpxHVyqxZPIHhZDrtfEAXlCZwOW
Z2hOa11/cv06Q2vy4qflOVdxIbkLcoFf/HRyBScYGZ6Uc2JpnTJste5wpNPcTV4PntU7fHm87UQO
FmE7gIpL8rjUNi21tC9nSfe7X5HHGGXiDaDxq8zH8ozBPnHapQMlfSPnpNKZMvYFA/RPSu3RRFxo
gdPzDTNoLKs3CMa/I2c4/WtyZo4c8QPpUcho1Ps/GgAAAABJRU5ErkJggg==
)
D.2
-
点P为双曲线C1:
和圆C2:x2+y2=a2+b2的一个交点,且2∠PF1F2=∠PF2F1,其中F1,F2为双曲线C1的两个焦点,则双曲线C1的离心率为( )
A.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA8AAAASCAYAAACEnoQPAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAALtJREFU
OE/Nk9sVhCAMRENH9EMXFEET9EAB1ME59pAmsgmPFRF15Wv5UuQymUlUxAuGpZQat+bvAo+LT862
z+f+HMZIlq2IHfDpW+zU3NFzIm8jYUb4mS9o/DOMWMEimPwbuE80+bdl74oLnjvpGpyNJYFnz8Mg
YLQENUCgYEoLwOwtuJuwzjeEEDLkNJB2WynnEkaKdpZ2rqCoH2BRagPS9fjk2fBHUV/6MTanCbRb
g6UUUV9SbnH/Cn8A/r2EUaEPy7EAAAAASUVORK5CYII=
)
B.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB8AAAASCAYAAACjMAXnAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAAQNJREFU
SEvFlI0NhCAMhWEj9nELhmCJ7sAAzEHiDizRa1HwjzvgDk8SE01qv76+Uol0xOAjpWzLyPDRh8hN
KduimlJtQf3w4FALjS50kgrhfXAP7Ds9FTjFga8Xd4Hn/MTQDpO+Xds9wh1w7miumBlUwPp9Ozx4
n5Vyz4LTWX0V7oHtePdA0YOPnrMF/1J+ro7FJBeqyg8/fztwKcnBf1puW/KbBi4DAjoNuL8sv8Pt
tM7ElDElzz1cr/ECjwtmG6qWu5xI1tr4apRAZeb4fobzhB9yrvaNW6+xA4v6Pbx8W5b2j4NTsom6
x+r71mt9YzZFzEahUOYZOFfI6h9RntrTCn8BwYR+BrKgjSYAAAAASUVORK5CYII=
)
C.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB8AAAASCAYAAACjMAXnAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAAQFJREFU
SEvdVIENhCAMLBuxj1swBEuwAwMwB4k7sES/BUQkYJT8a/IkJj71OO7aP4G0oFlCiHar+7sDvYQr
HzF5u6jY2/76Xpfl/8iDQwUKXdgNvKY8AoFnA8H4vv3e4KiEVIvY++QejXKYLkzvdEiX5Iy8YO8q
DyETJ8HePElem8z2VbL5IsnO3mPIpwOYXLurPOML0UzPp22vL58HT9Uju9V/0vNmtoNTCGUAq+IU
uV1yz5Zy0mnINH0voBlya23Eawko9Rrfx+QBnRpM+1n41jlR/VX3kIkOJPUH8hIQaaKHQTKR/IeE
W+hwVv9Ktq9aIkj9Djk7x+pfUb617SnyD1eQgZClFiD2AAAAAElFTkSuQmCC
)
D.2
-
若P是双曲线C1:
和圆C2:x2+y2=a2+b2的一个交点,且∠PF2F1=2∠PF1F2,其中F1、F2是双曲线C1的两个焦点,则双曲线C1的离心率的为________.
-
点P为双曲线C1:
和圆C2:x2+y2=a2+b2的一个交点,且2∠PF1F2=∠PF2F1,其中F1,F2为双曲线C1的两个焦点,则双曲线C1的离心率为( )
A.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA8AAAASCAYAAACEnoQPAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAALtJREFU
OE/Nk9sVhCAMRENH9EMXFEET9EAB1ME59pAmsgmPFRF15Wv5UuQymUlUxAuGpZQat+bvAo+LT862
z+f+HMZIlq2IHfDpW+zU3NFzIm8jYUb4mS9o/DOMWMEimPwbuE80+bdl74oLnjvpGpyNJYFnz8Mg
YLQENUCgYEoLwOwtuJuwzjeEEDLkNJB2WynnEkaKdpZ2rqCoH2BRagPS9fjk2fBHUV/6MTanCbRb
g6UUUV9SbnH/Cn8A/r2EUaEPy7EAAAAASUVORK5CYII=
)
B.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB8AAAASCAYAAACjMAXnAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAAQNJREFU
SEvFlI0NhCAMhWEj9nELhmCJ7sAAzEHiDizRa1HwjzvgDk8SE01qv76+Uol0xOAjpWzLyPDRh8hN
KduimlJtQf3w4FALjS50kgrhfXAP7Ds9FTjFga8Xd4Hn/MTQDpO+Xds9wh1w7miumBlUwPp9Ozx4
n5Vyz4LTWX0V7oHtePdA0YOPnrMF/1J+ro7FJBeqyg8/fztwKcnBf1puW/KbBi4DAjoNuL8sv8Pt
tM7ElDElzz1cr/ECjwtmG6qWu5xI1tr4apRAZeb4fobzhB9yrvaNW6+xA4v6Pbx8W5b2j4NTsom6
x+r71mt9YzZFzEahUOYZOFfI6h9RntrTCn8BwYR+BrKgjSYAAAAASUVORK5CYII=
)
C.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB8AAAASCAYAAACjMAXnAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAAQFJREFU
SEvdVIENhCAMLBuxj1swBEuwAwMwB4k7sES/BUQkYJT8a/IkJj71OO7aP4G0oFlCiHar+7sDvYQr
HzF5u6jY2/76Xpfl/8iDQwUKXdgNvKY8AoFnA8H4vv3e4KiEVIvY++QejXKYLkzvdEiX5Iy8YO8q
DyETJ8HePElem8z2VbL5IsnO3mPIpwOYXLurPOML0UzPp22vL58HT9Uju9V/0vNmtoNTCGUAq+IU
uV1yz5Zy0mnINH0voBlya23Eawko9Rrfx+QBnRpM+1n41jlR/VX3kIkOJPUH8hIQaaKHQTKR/IeE
W+hwVv9Ktq9aIkj9Djk7x+pfUb617SnyD1eQgZClFiD2AAAAAElFTkSuQmCC
)
D.2
-
点P为双曲线C1:
和圆C2:x2+y2=a2+b2的一个交点,且2∠PF1F2=∠PF2F1,其中F1,F2为双曲线C1的两个焦点,则双曲线C1的离心率为( )
A.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA8AAAASCAYAAACEnoQPAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAALtJREFU
OE/Nk9sVhCAMRENH9EMXFEET9EAB1ME59pAmsgmPFRF15Wv5UuQymUlUxAuGpZQat+bvAo+LT862
z+f+HMZIlq2IHfDpW+zU3NFzIm8jYUb4mS9o/DOMWMEimPwbuE80+bdl74oLnjvpGpyNJYFnz8Mg
YLQENUCgYEoLwOwtuJuwzjeEEDLkNJB2WynnEkaKdpZ2rqCoH2BRagPS9fjk2fBHUV/6MTanCbRb
g6UUUV9SbnH/Cn8A/r2EUaEPy7EAAAAASUVORK5CYII=
)
B.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB8AAAASCAYAAACjMAXnAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAAQNJREFU
SEvFlI0NhCAMhWEj9nELhmCJ7sAAzEHiDizRa1HwjzvgDk8SE01qv76+Uol0xOAjpWzLyPDRh8hN
KduimlJtQf3w4FALjS50kgrhfXAP7Ds9FTjFga8Xd4Hn/MTQDpO+Xds9wh1w7miumBlUwPp9Ozx4
n5Vyz4LTWX0V7oHtePdA0YOPnrMF/1J+ro7FJBeqyg8/fztwKcnBf1puW/KbBi4DAjoNuL8sv8Pt
tM7ElDElzz1cr/ECjwtmG6qWu5xI1tr4apRAZeb4fobzhB9yrvaNW6+xA4v6Pbx8W5b2j4NTsom6
x+r71mt9YzZFzEahUOYZOFfI6h9RntrTCn8BwYR+BrKgjSYAAAAASUVORK5CYII=
)
C.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB8AAAASCAYAAACjMAXnAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAAQFJREFU
SEvdVIENhCAMLBuxj1swBEuwAwMwB4k7sES/BUQkYJT8a/IkJj71OO7aP4G0oFlCiHar+7sDvYQr
HzF5u6jY2/76Xpfl/8iDQwUKXdgNvKY8AoFnA8H4vv3e4KiEVIvY++QejXKYLkzvdEiX5Iy8YO8q
DyETJ8HePElem8z2VbL5IsnO3mPIpwOYXLurPOML0UzPp22vL58HT9Uju9V/0vNmtoNTCGUAq+IU
uV1yz5Zy0mnINH0voBlya23Eawko9Rrfx+QBnRpM+1n41jlR/VX3kIkOJPUH8hIQaaKHQTKR/IeE
W+hwVv9Ktq9aIkj9Djk7x+pfUb617SnyD1eQgZClFiD2AAAAAElFTkSuQmCC
)
D.2