xy0设圆心为点C(a,b) ,C(a,b)半径为rr设点M(x,y)是圆上任意点M(x,y)(x-a)2+(y-b)2=r2例1求圆心A(2,-3),半径5的圆的标准方程(x-a)2+(y-b)2=r2(x- )2+y- 2=52标准方程为(x-2)2+(y+3)2=252 (-3)练习一:求圆的标准方程1.圆心为A(-2,-3),半径为4的圆2.圆心为A(2,3),半径为5的圆3.圆心为A(2,0),半径为3的圆4.圆心为A(0,-3),半径为5的圆5.圆心为原点A(0,0),半径为1的圆6.圆心为原点A(0,0),半径为r的圆练习二:求圆心和半径1.2.3.4.5.6.(x )2+(y )2= +2 +316(x )2+(y )2= - 2 -3 25(x )2+(y )2= +2-313(x )2+y2= - 2 9x2+(y )2= +325x2+y2= 1 (-2 ,-3 )4(2 ,3 )5(-2 ,3 )(2 ,0 )3(0 ,-3 )5(0 ,0 )1例2:求以C(7,-3)为圆心,并且 经过M(4,1)的圆的标准方程C(7,-3)M(4,1)解:标准方程为(x )2