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双曲线x2-y2=8的左右焦点分别为F1,F2,点Pn(xn,yn)(n=1,2,3…)在...
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双曲线x
2-y
2=8的左右焦点分别为F
1,F
2,点P
n(x
n,y
n)(n=1,2,3…)在其右支上,且满足|P
n+1F
2|=|P
nF
1|,P
1F
2⊥F
1F
2,则x
2012的值是( )
A.8040
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA8AAAASCAYAAACEnoQPAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAC/SURBVDhPzZNBEsUQEETnXBaOY+8m1g5iOwfJ
wlH6ZwRJ8ItklVSpQmn9picIg4+IsDT+iUf77R59XMz2zEB7xIw7x44e2nI+zrASZl5PxZG5OskN
0WtQdp+Ku0ClhFXnVsyWUKp45nyrH3ggjvDaokQnRIRgchtMJZRfs8fV8KVHpVUhhDR1iqDcluat
WBKu3ZIDe2iyPi0SweF+FUtA/SM58G98ZscV9xH28A1cNzenQMq9E8tF4v7KuVCsin81ApctPDAe
KwAAAABJRU5ErkJggg==
)
B.80484
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA8AAAASCAYAAACEnoQPAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAC/SURBVDhPzZNBEsUQEETnXBaOY+8m1g5iOwfJ
wlH6ZwRJ8ItklVSpQmn9picIg4+IsDT+iUf77R59XMz2zEB7xIw7x44e2nI+zrASZl5PxZG5OskN
0WtQdp+Ku0ClhFXnVsyWUKp45nyrH3ggjvDaokQnRIRgchtMJZRfs8fV8KVHpVUhhDR1iqDcluat
WBKu3ZIDe2iyPi0SweF+FUtA/SM58G98ZscV9xH28A1cNzenQMq9E8tF4v7KuVCsin81ApctPDAe
KwAAAABJRU5ErkJggg==
)
C.8048
D.8040
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双曲线x2-y2=8的左右焦点分别为F1,F2,点Pn(xn,yn)(n=1,2,3…)在其右支上,且满足|Pn+1F2|=|PnF1|,P1F2⊥F1F2,则x2012的值是( )
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双曲线x2-y2=8的左右焦点分别为F1,F2,点Pn(xn,yn)(n=1,2,3…)在其右支上,且满足|Pn+1F2|=|PnF1|,P1F2⊥F1F2,则x2012的值是( )
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双曲线x2-y2=2的左、右焦点分别为F1,F2,点Pn(xn,yn)(n=1,2,3…)在其右支上,且满足|Pn+1F2|=|PnF1|,P1F2⊥F1F2,则x2008的值是( )
A.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAC4AAAASCAYAAAAkAezhAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAAZhJREFU
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dQEf6gSIe18cjPOmZQlOemvRchWo4XxoKB6iUxu+r499evfhf9rcxWqQjckpcJxQEgn7A7ysBRys
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yBk4PqPDfQ1OGbh4HdKe5+FMr9Bygtsik16Sfi3FcwaLEF8qXgSy+wFKHxa2W+1feZWRHbNy27ZR
93U2cV5fTaug1VQ/yeQzPvmkPKteKt7OHx/8GeAAssA0UPVbn3xtm/9dvdY5mnn9PnCUCVX/OsWP
+Y6C/wBLQfKHTVHLoAAAAABJRU5ErkJggg==
)
B.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAC4AAAASCAYAAAAkAezhAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
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LqQewhmLGkr1TNBN8B2sVmBcDuGfU1KlLew1xt2CVhpsdRFgt9q/38vhbTukgIiKyXNwZxToQMQx
ZUCAaoE7MK2CM8wC3JlqwQkcFTPWVRTHTYWS+X3cufUc13Hzsot1YQU4dfF4kfJjx8J9AEcrGLJA
xSpUsVCrZacW+MlmykDhwo7iu3PCltztwMLgzsQWl1DnYL+Hj4nWSft2FA9BZDnVmYNwNLc9TiIe
ios2/i84l12bkRNqbzip8Ogc5VUof4eiX1slF7A/qE1w4Xc8fWTain/5mDt788Zwik3w/c6k1sGJ
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hMgXZnLsM9We82dWWHmv+hm8Pn/eMu8AR5AFO0aq3/rkPyPfvSyfdQY1r78HTuWS6j+neOzTKPgf
C+8IQ824vQcAAAAASUVORK5CYII=
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双曲线x2-y2=2的左、右焦点分别为F1、F2,点Pn(xn,yn)(n∈N*)在双曲线右支上,且满足|Pn+1F2|=|PnF1|,P1F2⊥F1F2,则|P2009F1|的值为________.
-
双曲线x2-y2=2的左右焦点分别为F1,F2,点Pn(xn,yn)(n∈N*)在其右支上,且满足|
|=|
|,
•
=0,则x2010=________.
-
已知双曲线
=1(a>0,b>0)的左右焦点分别为F1,F2,在双曲线右支上存在一点P满足PF1⊥PF2且∠PF1F2=
,那么双曲线的离心率是( )
A.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA8AAAASCAYAAACEnoQPAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAAMlJREFU
OE/NU9ENxCAI1Y3cxy0cwiXYwQGcg6Q7uAQnKt5pTer5VZImYnk8eKCmbGoyrfV8tfYZPFuOXF3f
414ORmBd6ucipVbusrmh5xTJAbZwJOAEzX8EJ8TOxBlSdJ39EXwTlFvYZZ7BCIqki/+Yh/7zcu3P
OVF0QCJd2UwKto3B9jyrDUNwFGVGMqoQQjl6o8j4q5xnMCvcp8UBWTT2v2WXCir7L5gF6gsii6Jq
+UPPNv9k9qOHcXlDyvgzMJfM7EfMIvcu+APTLYOZ98eL2wAAAABJRU5ErkJggg==
)
B.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA8AAAASCAYAAACEnoQPAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAALtJREFU
OE/Nk9sVhCAMRENH9EMXFEET9EAB1ME59pAmsgmPFRF15Wv5UuQymUlUxAuGpZQat+bvAo+LT862
z+f+HMZIlq2IHfDpW+zU3NFzIm8jYUb4mS9o/DOMWMEimPwbuE80+bdl74oLnjvpGpyNJYFnz8Mg
YLQENUCgYEoLwOwtuJuwzjeEEDLkNJB2WynnEkaKdpZ2rqCoH2BRagPS9fjk2fBHUV/6MTanCbRb
g6UUUV9SbnH/Cn8A/r2EUaEPy7EAAAAASUVORK5CYII=
)
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.