9.过点P(-8,-1),Q(5,12),R(17,4)三点的圆的圆心坐标是( C )A.(14/3 ,5) B.(5,1) C.(0,0) D.(5,-1)祥解,谢谢
热心网友
9.过点P(-8,-1),Q(5,12),R(17,4)三点的圆的圆心坐标是( C )A.(14/3 ,5) B.(5,1) C.(0,0) D.(5,-1)设圆心为S(x,y) ,因为SP=SQ=SR所以(x+8)^2 + (y+1)^2 = (x-5)^2 + (y-12)^2(x+8)^2 + (y+1)^2 = (x-17)^2 + (y-4)^2化简为:x+y=45x+y=24解得:x=5 ,y=-1 ,选 D