设圆心坐标为O(x,y),则OA=OB=OC所以OA^2=OB^2=OC^2 (PS:OA^2即OA的平方)(-1-x)^2+(3-y)^2=(-2-x)^2+(-2-y)^2 (1)(-2-x)^2+(-2-y)^2=(4-x)^2+(-2-y)^2 (2)由(2)得(-2-x)^2=(4-x)^2解得x=1将其带回1式得4+(3-y)^2=9+(-2-y)^2解得y=0∴圆心坐标为O(1,0)半径为r=OA=根号下[(-1-1)^2+(3-0)^2]=根号13
济南2010中考数学17题类似问题答案