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几何作图示例 by jaramies

几何作图示例 by jaramies
几何画板及绘图内容加载中，请稍等……
2017-12-18 21:27
角变换几何作图
该范例展示了如何使用GeoGebra进行几何作图。涉及的核心数学概念包括线段、圆、角度和旋转。通过使用Segment, Circle, Intersect, Distance, Rotate等命令，可以构造出复杂的几何图形。适合初中及以上学生或教师使用。

GeoGebra 命令及参数

  1. Segment(A_1, B_1) → f
  2. Circle(A_1, B_1) → c
  3. Circle(B_1, A_1) → d
  4. Intersect(c, d, 1) → C_1
  5. Segment(A_1, C_1) → g
  6. Segment(B_1, C_1) → h
  7. Distance(A_1, C_1) → distanceAC
  8. Distance(B_1, C_1) → distanceBC
  9. Distance(B_1, A_1) → distanceBA
  10. Rotate(D_1, 60°, E_1) → D'
  11. Angle(D_1, E_1, D') → α
  12. Segment(E_1, D_1) → i
  13. Segment(E_1, D') → j
  14. Circle(E_1, 5) → e
  15. Intersect(e, i) → F,
  16. Intersect(e, j) → G_1,
  17. Intersect(e, j, 1) → H_1
  18. Intersect(e, j, 1) → I_1
  19. Intersect(e, j, 1) → J
  20. Intersect(e, j, 1) → K
  21. Intersect(e, j, 1) → L
  22. Circle(F, 5) → k
  23. Circle(G_1, 5) → p
  24. Intersect(k, p) → M, N, ,
  25. Segment(N, E_1) → l
  26. Rotate(B_2, 60°, A_2) → C_2
  27. Angle(B_2, A_2, C_2) → β
  28. Segment(C_2, A_2) → m
  29. Segment(A_2, B_2) → n
  30. Circle(A_2, 3) → q
  31. Circle(A_2, 0.1494651033081253) → r
  32. Intersect(q, m, 1) → D_2
  33. Ray(G, H) → s
  34. Circle(G, 3) → t
  35. Distance(G, s) → distanceGs
  36. Intersect(t, s, 1) → I
  37. Distance(P, I) → distancePI
  38. Intersect(q, n, 1) → E_2
  39. Distance(D_2, E_2) → distanceDE
  40. Circle(I, 3) → c_1
  41. Intersect(c_1, t) → O, Q, ,
  42. Segment(A, B) → a
  43. Circle(A, B) → d_1
  44. Circle(B, A) → e_1
  45. Intersect(e_1, d_1) → D, C, ,
  46. Segment(C, D) → b
  47. Intersect(b, a) → E
  48. Intersect(e_1, d_1, 2) → U
  49. Intersect(e_1, d_1, 2) → V
  50. Intersect(e_1, d_1, 2) → W
  51. Intersect(e_1, d_1, 2) → Z
  52. Intersect(e_1, d_1, 2) → F_1
  53. Segment(P, R) → f_1
  54. Segment(S, T) → g_1
  55. Circle(J_1, K_1) → h_1
  56. Intersect(h_1, g_1) → L_1, M_1
  57. Segment(J_1, M_1) → i_1
  58. Segment(J_1, L_1) → j_1
  59. Circle(L_1, J_1) → k_1
  60. Circle(M_1, J_1) → p_1
  61. Intersect(k_1, p_1) → N_1, O_1, ,
  62. Segment(J_1, O_1) → l_1
  63. Intersect(h_1, l_1) → T_1,
  64. Intersect(p_1, j_1, 2) → R_1
  65. Intersect(p_1, j_1, 2) → P_1
  66. Line(J_1, g_1) → m_1