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线段等分构造

线段等分构造
几何画板及绘图内容加载中，请稍等……
2014-03-06 03:39
圆变换几何作图
所属专题 Introduction to Geometry
本范例展示了如何将线段等分为3、4或5部分。通过动态图示，学生可以直观地理解几何作图的基本原理。核心数学概念包括几何作图、线段等分和几何变换。使用了Circle、Ray、OrthogonalLine、Intersect、Segment、Line、CircleArc等GeoGebra命令。适合初中及以上学生学习几何作图。

GeoGebra 命令及参数

  1. Circle(C, 0.55) → e_1
  2. Ray(A, C) → b
  3. OrthogonalLine(C, b) → i
  4. Intersect(e_1, i) → P, Q
  5. Segment(A, B) → a
  6. Line(Q, b) → f
  7. Line(P, b) → e
  8. Circle(A, Radius) → g
  9. Circle(A, (2 * Radius)) → h
  10. Circle(A, (3 * Radius)) → k
  11. Circle(A, (4 * Radius)) → p
  12. Circle(A, (5 * Radius)) → q
  13. Intersect(g, f, 2) → F
  14. Intersect(g, e, 2) → G
  15. Intersect(h, f, 2) → H
  16. Intersect(h, e, 2) → I
  17. Intersect(k, f, 2) → J
  18. Intersect(k, e, 2) → K
  19. Intersect(p, f, 2) → L
  20. Intersect(p, e, 2) → M
  21. Intersect(q, f, 2) → N
  22. Intersect(q, e, 2) → O
  23. CircleArc(A, G, F) → r
  24. CircleArc(A, I, H) → s
  25. CircleArc(A, K, J) → t
  26. CircleArc(A, M, L) → c_1
  27. CircleArc(A, O, N) → d_1
  28. Intersect(r, b, 1) → R
  29. Intersect(s, b, 1) → S
  30. Intersect(t, b, 1) → T
  31. Intersect(c_1, b, 1) → U
  32. Intersect(d_1, b) → V,
  33. Segment(V, B) → j
  34. Line(U, j) → l
  35. Line(T, j) → m
  36. Line(S, j) → n
  37. Line(R, j) → a_1
  38. Intersect(l, a) → W
  39. Segment(U, W) → b_1
  40. Intersect(m, a) → Z
  41. Segment(T, Z) → f_1
  42. Intersect(n, a) → A_1
  43. Segment(S, A_1) → g_1
  44. Intersect(a_1, a) → B_1
  45. Segment(R, B_1) → h_1
  46. Segment(U, B) → i_1
  47. Line(T, i_1) → j_1
  48. Line(S, i_1) → k_1
  49. Line(R, i_1) → l_1
  50. Intersect(l_1, a) → C_1
  51. Intersect(k_1, a) → D_1
  52. Intersect(j_1, a) → E_1
  53. Segment(T, E_1) → m_1
  54. Segment(S, D_1) → n_1
  55. Segment(R, C_1) → p_1
  56. Segment(T, B) → q_1
  57. Line(S, q_1) → r_1
  58. Line(R, r_1) → s_1
  59. Intersect(s_1, a) → F_1
  60. Intersect(r_1, a) → G_1
  61. Segment(R, F_1) → t_1
  62. Segment(S, G_1) → a_2
  63. CircleArc(A, M, L) → c_2