任何旋转中两个抛物线交叉的代码或公式

x1^2 * (b2 - b1) + x1 * (c2 - c1) = x2^2 * (b1 - b2) + x2 * (c1 - c2)
x1^2 * (a2 - a1) + x1 * (b2 - b1) + x1 * (c2 - c1) = x2^2 * (a1 - a2) + x2 * (b1 - b2) + x2 * (c1 - c2)

import numpy as np

def intersect(a1, b1, c1, a2, b2, c2):
    # 计算交点的 x 坐标
    x1 = (b2 * c1 - b1 * c2) / (a1 * b2 - a2 * b1)
    x2 = (b1 * c2 - b2 * c1) / (a2 * b1 - a1 * b2)

    # 计算交点的 y 坐标
    y1 = a1 * x1**2 + b1 * x1 + c1
    y2 = a2 * x2**2 + b2 * x2 + c2

    return (x1, y1), (x2, y2)

# 示例
a1, b1, c1 = 1, 1, 1
a2, b2, c2 = 1, -1, 1

print(intersect(a1, b1, c1, a2, b2, c2))