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GeoGebra几何构造范例 by goredsox

GeoGebra几何构造范例 by goredsox
几何画板及绘图内容加载中，请稍等……
2019-09-12 01:38
圆角几何作图
①本范例演示了利用GeoGebra进行几何图形的精确构造过程；②涉及的核心数学概念包括几何作图、角度测量、线段与圆的相交；③作图要点提炼自构造摘要，使用了Angle（角）、Segment（线段）、Point（点）、Circle（圆）、Intersect（相交）、Ray（射线）等命令及对象；④适合高中数学教学或几何爱好者学习几何作图技巧与工具使用。

GeoGebra 命令及参数

  1. Angle(A, B, C) → α
  2. Segment(A, B) → a
  3. Segment(B, C) → b
  4. Segment(D, E) → c
  5. Segment(F, G) → d
  6. Segment(H, I) → e
  7. Point(e) → J
  8. Segment(H_1, I_1) → e_1
  9. Circle(L, N) → f
  10. Point(a) → O
  11. Circle(B, O) → g
  12. Intersect(g, b, 1) → P
  13. Circle(P, Segment[O, P]) → h
  14. Circle(O, Segment[O, P]) → k
  15. Intersect(h, k, 2) → Q
  16. Ray(B, R) → i
  17. Ray(B, Q) → j
  18. Circle(E, Segment[D, E]) → p
  19. Circle(D, Segment[E, D]) → q
  20. Intersect(p, q, 2) → S
  21. Intersect(p, q, 1) → T
  22. Segment(S, T) → m
  23. Circle(G, Segment[F, G]) → r
  24. Circle(F, Segment[G, F]) → s
  25. Intersect(r, s, 2) → U
  26. Segment(U, F) → l
  27. Segment(U, G) → n
  28. Point(e) → V
  29. Circle(J, V) → t
  30. Intersect(t, e, 2) → W
  31. Circle(V, W) → c_1
  32. Circle(W, V) → d_1
  33. Intersect(c_1, d_1, 2) → Z
  34. Intersect(c_1, d_1, 1) → A_1
  35. Segment(Z, A_1) → f_1
  36. Point(e_1) → B_1
  37. Circle(K, B_1) → g_1
  38. Intersect(g_1, e_1, 2) → C_1
  39. Circle(B_1, Segment[C_1, B_1]) → h_1
  40. Circle(C_1, Segment[B_1, C_1]) → k_1
  41. Intersect(h_1, k_1, 2) → D_1
  42. Intersect(h_1, k_1, 1) → E_1
  43. Segment(D_1, E_1) → i_1
  44. Circle(N, Segment[L, N]) → p_1
  45. Intersect(f, p_1, 1) → F_1
  46. Intersect(f, p_1, 2) → G_1
  47. Circle(F_1, Segment[L, F_1]) → q_1
  48. Circle(G_1, Segment[G_1, L]) → r_1
  49. Intersect(f, q_1, 1) → J_1
  50. Intersect(f, r_1, 2) → K_1
  51. Circle(J_1, Segment[L, J_1]) → s_1
  52. Circle(K_1, Segment[L, K_1]) → t_1
  53. Intersect(f, s_1, 1) → L_1
  54. Circle(L_1, Segment[L, L_1]) → c_2
  55. Segment(F_1, N) → j_1
  56. Segment(N, G_1) → l_1
  57. Segment(G_1, K_1) → m_1
  58. Segment(K_1, L_1) → n_1
  59. Segment(L_1, J_1) → a_1
  60. Segment(J_1, F_1) → b_1