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数学
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求:圆心在直线2x-y-3=0上,且与x轴相切于点(-2,0)的圆的标准方程
圆心在直线2x-y-3=0上,且与x轴相切于点(-2,0)的圆的标准方程
人气:488 ℃ 时间:2020-05-27 14:35:57
解答
答:
与x轴相切于点(-2,0)
则圆的圆心必定在直线x=-2上
与直线2x-y-3=0联立解得圆心坐标为(-2,-7)
所以:圆的半径R=0-(-7)=7
所以圆的方程为:(x+2)²+(y+7)²=49
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