圆心在抛物线y2=2x上,且与x轴和该抛物线的准线都相切的一个圆的方

圆心在抛物线y²=2x上,且与x轴和该抛物线的准线都相切的一个圆的方程是（）

A.x²+y²-x-2y+=0 B.x²+y²+x-2y+1=0

C.x²+y²-x-2y+1=0 D.x²+y²-x-2y-=0

答案

提示：由题设可知圆与x轴的切点为抛物线的焦点，所以圆心为(,±1)，半径为1.选A.

答案：A

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圆心在抛物线y2=2x上,且与x轴和该抛物线的准线都相切的一个圆的方

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