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如图,双曲线(x>0)经过四边形OABC的顶点A、C,∠ABC=90°,OC平分...
如图,双曲线
![manfen5.com 满分网](http://img.manfen5.com/res/CZSX/web/STSource/20131101190318892135088/SYS201311011903188921350008_ST/0.png)
(x>0)经过四边形OABC的顶点A、C,∠ABC=90°,OC平分OA与x轴正半轴的夹角,AB∥x轴,将△ABC沿AC翻折后得到△AB′C,B′点落在OA上,则四边形OABC的面积是( )
![manfen5.com 满分网](http://img.manfen5.com/res/CZSX/web/STSource/20131101190318892135088/SYS201311011903188921350008_ST/images1.png)
A.
![manfen5.com 满分网](http://img.manfen5.com/res/CZSX/web/STSource/20131101190318892135088/SYS201311011903188921350008_ST/1.png)
B.
![manfen5.com 满分网](http://img.manfen5.com/res/CZSX/web/STSource/20131101190318892135088/SYS201311011903188921350008_ST/2.png)
C.2
D.
![manfen5.com 满分网](http://img.manfen5.com/res/CZSX/web/STSource/20131101190318892135088/SYS201311011903188921350008_ST/3.png)
考点分析:
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B.对于任意实数x都有y≤y
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有以下四个命题:
①反比例函数y=
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,当x>0时,y随x的增大而增大;
②抛物线y=x
2-2x+2与两坐标轴无交点;
③平分弦的直径垂直于弦,且平分弦所对的弧;
④有一个角相等的两个等腰三角形相似.
其中正确命题的个数为( )
A.4
B.3
C.2
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如图,双曲线y=
![manfen5.com 满分网](http://img.manfen5.com/res/CZSX/web/STSource/20131101190318892135088/SYS201311011903188921350005_ST/0.png)
与直线y=kx+b交于点M、N,并且点M的坐标为(1,3),点N的纵坐标为-1.根据图象信息可得关于x的方程
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B.-3,3
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一个圆形人工湖如图所示,弦AB是湖上的一座桥,已知桥AB长100m,测得圆周角∠ACB=45°,则这个人工湖的直径AD为( )
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πcm
B.15πcm
C.
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D.75πcm
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