△ABC为正三角形A(1,2)B(3,-4)求点C坐标
问题描述：
△ABC为正三角形A(1,2)B(3,-4)求点C坐标
答
AB的中点为D(2,-1),AB的斜率为k = (-4 - 2)/(3 - 1) = -3AB的中垂线斜率为1/3,中垂线方程:y + 1 = (x -2)/3,x = 3y +5设C(3b+5,b)CA² = AB²(3b+5-1)² + (b-2)² = (3 - 1)²+ (-4-2)²b&...