与圆x2+y2-4x=0外切,又与y轴相切的圆的圆心的轨迹方程是( )
A. y2=8x
B. y2=8x(x>0)和y=0
C. y2=8x(x>0)
D. y2=8x(x>0)和y=0(x<0)
人气:261 ℃ 时间:2019-10-26 06:52:49
解答
设与y轴相切且与圆C:x
2+y
2-4x=0外切的圆心为P(x,y),半径为r,
则
=|x|+2,
若x>0,则y
2=8x;若x<0,则y=0;
故选D.
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