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已知圆C过点(1,0),且圆心在x轴的正半轴上,直线l:y=x-1被该圆所截得的...
已知圆C过点(1,0),且圆心在x轴的正半轴上,直线l:y=x-1被该圆所截得的弦长为
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101924026912917/SYS201311031019240269129010_ST/0.png)
,则圆C的标准方程为
.
考点分析:
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过抛物线y
2=2px(p>0)的焦点F且倾斜角为60°的直线l与抛物线在第一、四象限分别交于A、B两点,则
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101924026912917/SYS201311031019240269129009_ST/0.png)
的值等于( )
A.5
B.4
C.3
D.2
查看答案
设F
1、F
2分别是椭圆
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101924026912917/SYS201311031019240269129008_ST/0.png)
+
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101924026912917/SYS201311031019240269129008_ST/1.png)
=1(a>b>0)的左、右焦点,与直线y=b相切的⊙F
2交椭圆于E,且E是直线EF
1与⊙F
2的切点,则椭圆的离心率为( )
A.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101924026912917/SYS201311031019240269129008_ST/2.png)
B.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101924026912917/SYS201311031019240269129008_ST/3.png)
C.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101924026912917/SYS201311031019240269129008_ST/4.png)
D.
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已知双曲线C:
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101924026912917/SYS201311031019240269129007_ST/0.png)
-
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101924026912917/SYS201311031019240269129007_ST/1.png)
=1(a>0,b>0)的离心率e=
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101924026912917/SYS201311031019240269129007_ST/2.png)
,且2a
2=3c,若双曲线C上的点P满足
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101924026912917/SYS201311031019240269129007_ST/3.png)
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101924026912917/SYS201311031019240269129007_ST/4.png)
=1,则|
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101924026912917/SYS201311031019240269129007_ST/5.png)
|
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101924026912917/SYS201311031019240269129007_ST/6.png)
|=( )
A.5
B.4
C.3
D.2
查看答案
已知椭圆C:
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101924026912917/SYS201311031019240269129006_ST/0.png)
+
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101924026912917/SYS201311031019240269129006_ST/1.png)
=1(a>b>0)的一个焦点是(1,0),两个焦点与短轴的一个端点构成等边三角形,则椭圆方程( )
A.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101924026912917/SYS201311031019240269129006_ST/2.png)
+
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101924026912917/SYS201311031019240269129006_ST/3.png)
=1
B.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101924026912917/SYS201311031019240269129006_ST/4.png)
=1
C.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101924026912917/SYS201311031019240269129006_ST/5.png)
=1
D.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101924026912917/SYS201311031019240269129006_ST/6.png)
=1
查看答案
过原点O作⊙C:(x-3)
2+(y-2)
2=4的两条割线分别与圆交于A、B和M、N两点,则
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101924026912917/SYS201311031019240269129005_ST/0.png)
•
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101924026912917/SYS201311031019240269129005_ST/1.png)
+
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101924026912917/SYS201311031019240269129005_ST/2.png)
•
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101924026912917/SYS201311031019240269129005_ST/3.png)
=( )
A.4
B.18
C.9
D.8
查看答案