On April1st, Mike decided to play a joke on his friends. He said to Tom, “When I was 51 by Mr. Hill’s room, he was talking with 52 teacher about a test. I think 53 a science test this afternoon. Soon, 54 all the students in Mr. Hill’s science class knew about it. They 55 went into the classroom and began to study. But not Mike. He was 56 at his classmates. When the class began, Mr. Hill said to the students, “Class, we’re going to have a test today. Mike was 57 . He could not believe his 58 . As soon as the class was over, the students were all very 59 to him. But he could only smile. “What a 60 I was! he thought.51.( ) A. going B. coming C. in D. passing 查看更多

 

题目列表(包括答案和解析)

如图,已知P为∠AOB的边OA上的一点,以P为顶点的∠MPN的两边分别交射线OB于M、N两点,且∠MPN=∠AOB=α(α为锐角).当∠MPN以点P为旋转中心,PM边与PO重合的位置精英家教网开始,按逆时针方向旋转(∠MPN保持不变)时,M、N两点在射线OB上同时以不同的速度向右平行移动.设OM=x,ON=y(y>x>0),△POM的面积为S.若sinα=
3
2
,OP=2.
(1)当∠MPN旋转30°(即∠OPM=30°)时,求点N移动的距离;
(2)求证:△OPN∽△PMN;
(3)写出y与x之间的关系式;
(4)试写出S随x变化的函数关系式,并确定S的取值范围.

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(2012•济南)如图,∠MON=90°,矩形ABCD的顶点A、B分别在边OM,ON上,当B在边ON上运动时,A随之在边OM上运动,矩形ABCD的形状保持不变,其中AB=2,BC=1,运动过程中,点D到点O的最大距离为(  )

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9、⊙O的半径为5,⊙N的半径为1,若两圆相切,则圆心距ON的长等于
6或4

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精英家教网已知抛物线y=-x2+2mx-m2-m+2.
(1)判断抛物线的顶点与直线L:y=-x+2的位置关系;
(2)设该抛物线与x轴交于M、N两点,当OM•ON=4,且OM≠ON时,求出这条抛物线的解析式;
(3)直线L交x轴于点A,(2)中所求抛物线的对称轴与x轴交于点B.那么在对称轴上是否存在点P,使⊙P与直线L和x轴同时相切?若存在,求出点P的坐标;若不存在,请说明理由.

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已知Rt△ABC,∠BAC=90°,点D是BC中点,AD=AC,BC=4
3
,过A,D两点作⊙O,交AB于点E,
(1)求弦AD的长;
(2)如图1,当圆心O在AB上且点M是⊙O上一动点,连接DM交AB于点N,求当ON等于多少时,三点D、E、M组成的三角形是等腰三角形?
(3)如图2,当圆心O不在AB上且动圆⊙O与DB相交于点Q时,过D作DH⊥AB(垂足为H)并交⊙O于点P,问:当⊙O变动时DP-DQ的值变不变?若不变,请求出其值;若变化,请说明理由.

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