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与彩虹小龙共舞

与彩虹小龙共舞
几何画板及绘图内容加载中，请稍等……
2019-11-13 12:12
向量函数几何作图
这是一个展示飞行小龙的几何作图范例。它涉及向量、轨迹和变换等核心数学概念。通过使用Polygon、Segment、Vector和Rotate等GeoGebra命令，可以动态地展示小龙的飞行轨迹。适合用于高中数学教学，特别是解析几何和向量部分。

GeoGebra 命令及参数

  1. Polygon(((-r1), (-r2)), (r1, (-r2)), (r1, r2), ((-r1), r2)) → Box, f, g, h, i
  2. Segment(O, T1) → s0
  3. Segment(T1, T2) → s1
  4. Circle(B, 3) → region
  5. Vector((x1, y1), (xloc, yloc)) → u
  6. Rotate(Translate[pic1, v], angle, O) → pic1'
  7. Circle(O, 1.3) → c
  8. Circle(T1, 1.3 - 1 / n) → c1
  9. Circle(T2, 1.3 - 2 / n) → c2
  10. Circle(T3, 1.3 - 3 / n) → c3
  11. Circle(T4, 1.3 - 4 / n) → c4
  12. Circle(T5, 1.3 - 5 / n) → c5
  13. Circle(T6, 1.3 - 6 / n) → c6
  14. Circle(T7, 1.3 - 7 / n) → c7
  15. Circle(T8, 1.3 - 8 / n) → c8
  16. Circle(T9, 1.3 - 9 / n) → c9
  17. Circle(T10, 1.3 - 10 / n) → c10
  18. Circle(T11, 1.3 - 11 / n) → c11
  19. Circle(T12, 1.3 - 12 / n) → c12
  20. Circle(T13, 1.3 - 13 / n) → c13
  21. Segment(T6, T5) → s6
  22. Segment(T7, T6) → s7
  23. Segment(T8, T7) → s8
  24. Segment(T9, T8) → s9
  25. Segment(T10, T9) → s10
  26. Segment(T11, T10) → s11
  27. Segment(T12, T11) → s12
  28. Segment(T13, T12) → s13
  29. Segment(T2, T1) → s2
  30. Segment(T3, T2) → s3
  31. Segment(T4, T3) → s4
  32. Segment(T5, T4) → s5