二次函数abc与x.y的关系,不是图像我的意思是,给你三个点,你不能用待定系数法,只能用a 与x1.x2.x3.y1.y2.y3的关系来求出a,b和c也是这样求,我想问问,a.b.c与三点之间的关系

根据三点(xi,yi)可以直接写出此函数式：
y=y1(x-x2)(x-x3)/(x1-x2)(x1-x3)+y2(x-x1)(x-x3)/(x2-x1)(x2-x3)+y3(x-x1)(x-x2)/(x3-x1)(x3-x2)
因此有：
a=y1/(x1-x2)(x1-x3)+y2/(x2-x1)(x2-x3)+y3/(x3-x1)(x3-x2)
b=-y1(x2+x3)/(x1-x2)(x1-x3)-y2(x1+x3)/(x2-x1)(x2-x3)-y3(x1+x2)/(x3-x1)(x3-x2)
c=y1x2x3/(x1-x2)(x1-x3)+y2x1x3/(x2-x1)(x2-x3)+y3x1x2/(x3-x1)(x3-x2)
都是对称的式子.