089]解:(1)圆心在坐标原点.圆的半径为1. 点的坐标分别为 抛物线与直线交于点.且分别与圆相切于点和点. .······························································································· 2分 点在抛物线上.将的坐标代入 .得: 解之.得: 抛物线的解析式为:.······································································ 4分 (2) 抛物线的对称轴为. .···················· 6分 连结. .. 又. . .····································································· 8分 (3)点在抛物线上.································································································ 9分 设过点的直线为:. 将点的坐标代入.得:. 直线为:.······················································································ 10分 过点作圆的切线与轴平行.点的纵坐标为. 将代入.得:. 点的坐标为.··························································································· 11分 当时.. 所以.点在抛物线上.···································································· 12分 说明:解答题各小题中只给出了1种解法.其它解法只要步骤合理.解答正确均应得到相应的分数. 【查看更多】

 

题目列表(包括答案和解析)

如图,圆不能表示y是x的函数图象,是因为


  1. A.
    圆心不在坐标原点
  2. B.
    圆的位置没有关于y轴对称
  3. C.
    对x在某一部分的取值,y的对应值不唯一,不符合函数的定义
  4. D.
    对y在某一部分的取值,x的对应值不唯一,不符合函数的定义

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(2012•连云港)如图,⊙O的圆心在坐标原点,半径为2,直线y=x+b(b>0)与⊙O交于A、B两点,点O关于直线y=x+b的对称点O′,
(1)求证:四边形OAO′B是菱形;
(2)当点O′落在⊙O上时,求b的值.

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半径为7的圆,其圆心在坐标原点,则下列各点在圆外的是(  )
A、(3,4)B、(4,4)C、(4,5)D、(4,6)

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已知⊙O的半径为5,圆心在坐标原点,位于第二象限的该圆上的一点P的横坐标和纵坐标均为整数.则点P的坐标为
(-3,4)
(-3,4)
.(写出一个即可)

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在平面直角坐标系中,横坐标和纵坐标都是整数的点称为格点.已知有一个圆的圆心在坐标原点,半径为13,另一直线l经过该圆上任意两个格点,则直线l是正比例函数的概率是(  )
A、
1
4
B、
1
14
C、
2
33
D、
1
33

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