如何将x^2+y^2+Dx+Ey+F=0化为(x+D/2)^2+(y+E/2)^2
问题描述:
如何将x^2+y^2+Dx+Ey+F=0化为(x+D/2)^2+(y+E/2)^2
偶想要详细过程
答
x^2+y^2+Dx+Ey+F=0
(x^2+Dx+D^2/4)+(y^2+Ey+E^2/4)+F=(D^2+E^2)/4
(x+D/2)^2+(y+E/2)^2 =(D^2+E^2)/4-F