求过两点A(1,4),B(3,2)且圆心在直线y=0上的圆的标准方程
人气:265 ℃ 时间:2020-01-26 11:27:34
解答
设圆心(x 0)圆心到AB的距离是相等的且等于半径所以 (x-1 )²+4²=(x-3)²+2²x²-2x+1+16=x²-6x+9+4-2x+17=-6x+13-2x+17+6x-13=04x=-4x=-1所以圆心(-1 0)半径r²=20所以圆的方程(x...
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