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如图,每个小正方形边长均为1,则下列图中的三角形(阴影部分)与左图中△ABC相似...
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如图,每个小正方形边长均为1,则下列图中的三角形(阴影部分)与左图中△ABC相似的是( )
A.
![manfen5.com 满分网](http://img.manfen5.com/res/CZSX/web/STSource/20131101190223071813878/SYS201311011902230718138003_ST/images1.png)
B.
![manfen5.com 满分网](http://img.manfen5.com/res/CZSX/web/STSource/20131101190223071813878/SYS201311011902230718138003_ST/images2.png)
C.
![manfen5.com 满分网](http://img.manfen5.com/res/CZSX/web/STSource/20131101190223071813878/SYS201311011902230718138003_ST/images3.png)
D.
![manfen5.com 满分网](http://img.manfen5.com/res/CZSX/web/STSource/20131101190223071813878/SYS201311011902230718138003_ST/images4.png)
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如图,几何体上半部为正三棱柱,下半部为圆柱,其俯视图是( )
A.
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B.
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C.
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D.
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下列图形中既是轴对称图形又是中心对称图形的是( )
A.
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B.
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C.
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D.
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cos60°的值等于( )
A.
![manfen5.com 满分网](http://img.manfen5.com/res/CZSX/web/STSource/20131101190223071813878/SYS201311011902230718138000_ST/0.png)
B.
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C.1
D.
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如图甲,在平面直角坐标系中,A、B的坐标分别为(4,0)、(0,3),抛物线y=
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x
2+bx+c经过点B,且对称轴是直线x=-
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.
(1)求抛物线对应的函数解析式;
(2)将图甲中△ABO沿x轴向左平移到△DCE(如图乙),当四边形ABCD是菱形时,请说明点C和点D都在该抛物线上;
(3)在(2)中,若点M是抛物线上的一个动点(点M不与点C、D重合),经过点M作MN∥y轴交直线CD于N,设点M的横坐标为t,MN的长度为l,求l与t之间的函数解析式,并求当t为何值时,以M、N、C、E为顶点的四边形是平行四边形.(参考公式:抛物线y=ax
2+bx+c(a≠0)的顶点坐标为(-
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,
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),对称轴是直线x=-
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.)
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如图,AB是⊙O的直径,AC是弦,直线EF经过点C,AD⊥EF于点D,∠DAC=∠BAC.
(1)求证:EF是⊙O的切线;
(2)求证:AC
2=AD•AB;
(3)若⊙O的半径为2,∠ACD=30°,求图中阴影部分的面积.
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