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彩虹8字曲面

彩虹8字曲面
几何画板及绘图内容加载中，请稍等……
2018-07-05 18:21
函数三角函数解析几何几何作图
这个范例展示了彩虹色的8字曲面。它涉及到了三角函数和曲面的概念。通过使用序列命令，用户可以动态地改变曲面的颜色和形状。该范例适合高中及以上学生，用于几何作图和函数图像的教学。

GeoGebra 命令及参数

  1. Sequence(Surface[gx(u, v), gy(u, v), gz(u, v), u, (-π), π, v, i + π / n, i + (2 * π / n)], i, 0, (2 * π), (2 * π / n)) → black
  2. Sequence(Surface[gx(u, v), gy(u, v), gz(u, v), u, (-π), π, v, i, i + π / n], i, 0, (2 * π), (2 * π / n)) → white
  3. Length(black) → b
  4. Surface(gx(u, v), gy(u, v), gz(u, v), u, (-π), π, v, A1, A1 + (2 * π / n)) → B1
  5. Surface(gx(u, v), gy(u, v), gz(u, v), u, (-π), π, v, A2, A2 + (2 * π / n)) → B2
  6. Surface(gx(u, v), gy(u, v), gz(u, v), u, (-π), π, v, A3, A3 + (2 * π / n)) → B3
  7. Surface(gx(u, v), gy(u, v), gz(u, v), u, (-π), π, v, A4, A4 + (2 * π / n)) → B4
  8. Surface(gx(u, v), gy(u, v), gz(u, v), u, (-π), π, v, A5, A5 + (2 * π / n)) → B5
  9. Surface(gx(u, v), gy(u, v), gz(u, v), u, (-π), π, v, A6, A6 + (2 * π / n)) → B6
  10. Surface(gx(u, v), gy(u, v), gz(u, v), u, (-π), π, v, A7, A7 + (2 * π / n)) → B7
  11. Surface(gx(u, v), gy(u, v), gz(u, v), u, (-π), π, v, A8, A8 + (2 * π / n)) → B8
  12. Surface(gx(u, v), gy(u, v), gz(u, v), u, (-π), π, v, A9, A9 + (2 * π / n)) → B9
  13. Surface(gx(u, v), gy(u, v), gz(u, v), u, (-π), π, v, A10, A10 + (2 * π / n)) → B10
  14. Surface(gx(u, v), gy(u, v), gz(u, v), u, (-π), π, v, A11, A11 + (2 * π / n)) → B11
  15. Surface(gx(u, v), gy(u, v), gz(u, v), u, (-π), π, v, A12, A12 + (2 * π / n)) → B12
  16. Surface(gx(u, v), gy(u, v), gz(u, v), u, (-π), π, v, A13, A13 + (2 * π / n)) → B13
  17. Surface(gx(u, v), gy(u, v), gz(u, v), u, (-π), π, v, A14, A14 + (2 * π / n)) → B14
  18. Surface(gx(u, v), gy(u, v), gz(u, v), u, (-π), π, v, A15, A15 + (2 * π / n)) → B15