勾股双曲线

勾股双曲线
几何画板及绘图内容加载中,请稍等……
2016-08-18 07:46
该范例演示了勾股双曲线的几何性质。涉及的核心数学概念包括双曲线的定义和性质。通过使用Translate命令移动多边形,展示了双曲线的构造过程。适合高中数学教学和学习。

GeoGebra 命令及参数

  1. Translate(Polygon[(0, 0), (1, 0), (0, 1)], Vector[(3, 3)]) → poly1
  2. Translate(Polygon[(0, 0), (0, 1), (-1, 1), (-1, 0)], Vector[(3, 3)]) → poly3
  3. Translate(Rotate[Polygon[(1, 0), (1 + sqrt(2), 0), (1 + sqrt(2), sqrt(2)), (1, sqrt(2))], π / 4, (1, 0)], Vector[(3, 3)]) → poly4
  4. Translate(Polygon[(0, 0), (1, 0), (1, -1), (0, -1)], Vector[(3, 3)]) → poly2
  5. Polygon((0, 0), (1, 0), (1, 1), (0, 1)) → poly5, s, t, a, b
  6. Polygon((1, 0), (2, 0), (2, 1), (1, 1)) → poly6, c, d, e, f_1
  7. Polygon((0, 0), (sqrt(2), 0), (sqrt(2), sqrt(2)), (0, sqrt(2))) → poly7, g_1, h_1, i_1, j_1