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已知双曲线的准线过椭圆的焦点,则直线y=kx+2与椭圆至多有一个交点的充要条件是...
已知双曲线
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212978727/SYS201310251237212129787008_ST/0.png)
的准线过椭圆
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212978727/SYS201310251237212129787008_ST/1.png)
的焦点,则直线y=kx+2与椭圆至多有一个交点的充要条件是( )
A.K∈[-
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,
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]
B.K∈[-∞,-
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]∪[
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,+∞]
C.K∈[-
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,
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]
D.K∈[-∞,-
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212978727/SYS201310251237212129787008_ST/8.png)
]∪[
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,+∞]
考点分析:
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若双曲线
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(a>b>0)的左右焦点分别为F
1、F
2,线段F
1F
2被抛物线y
2=2bx 的焦点分成7:5的两段,则此双曲线的离心率为( )
A.
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B.
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C.
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D.
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若点O和点F(-2,0)分别是双曲线
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212978727/SYS201310251237212129787006_ST/0.png)
-y
2=1(a>0)的中心和左焦点,点P为双曲线右支上的一点,并且P点与右焦点F′的连线垂直x轴,则线段OP的长为( )
A.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212978727/SYS201310251237212129787006_ST/1.png)
B.
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C.
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D.
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经过原点且与抛物线y=(x+1)
2-
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212978727/SYS201310251237212129787005_ST/0.png)
只有一个公共点的直线有多少条?( )
A.0
B.1
C.2
D.3
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已知F是椭圆
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212978727/SYS201310251237212129787004_ST/0.png)
(a>b>0)的左焦点,P是椭圆上的一点,PF⊥x轴,OP∥AB(O为原点),则该椭圆的离心率是( )
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212978727/SYS201310251237212129787004_ST/images1.png)
A.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212978727/SYS201310251237212129787004_ST/1.png)
B.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212978727/SYS201310251237212129787004_ST/2.png)
C.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212978727/SYS201310251237212129787004_ST/3.png)
D.
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已知双曲线
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212978727/SYS201310251237212129787003_ST/0.png)
(a>0,b>0)的两条渐近线均和圆C:x
2+y
2-6x+5=0相切,且双曲线的右焦点为圆C的圆心,则该双曲线的方程为( )
A.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212978727/SYS201310251237212129787003_ST/1.png)
B.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212978727/SYS201310251237212129787003_ST/2.png)
C.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212978727/SYS201310251237212129787003_ST/3.png)
D.
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