Question

我想要数学方面的帮助我有2分。例如，
X1 = 0，Y1 = 0
X2 = 0，Y2 = 1
现在的问题是：

我想检查一下是否可以制作一个正方形。
如果我可以制作一个正方形，我想知道如何找到其他点。

我有这个公式来查找边长：

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您可以找到问题here。

Answer 1

正方形的中心是其任一对角线的中点;所以在你的情况下我们有

cx = (x1+x2)/2
cy = (y1+y2)/2

从正方形的中心到对角线的端点的矢量与从中心到另一个对角线的端点的矢量成直角，并且长度相同。所以我们可以计算从中心到x1的矢量，y1说，将它旋转90度并使用它来获得另一个对角线的两个端点：

vx = x1 - cx; vy = y1 - cy; // vector c->(x1,y1)
ux = vy; uy = -vx;          // rotate through 90 degrees
x3 = cx + ux; y3 = cy + uy; // one of the endpoints of other diagonal
x4 = cx - ux; y4 = cy - uy; // the other endpoint

你方形的顶点是（x1，y1），（x3，y3），（x2，y2），（x4，y4）。

找到一个正方形的剩余角，给出两个相对的角

1 个答案: