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长方体展开图生成器 by Jennifer Gottschalk

长方体展开图生成器 by Jennifer Gottschalk
几何画板及绘图内容加载中，请稍等……
2016-06-22 06:14
立体几何变换几何作图
这个范例演示了如何生成长方体的展开图。核心数学概念包括几何变换和立体几何。通过使用GeoGebra命令如Point, Segment, Polygon等，可以构造出长方体的各个面。适合初中及以上学生学习立体几何和几何作图。

GeoGebra 命令及参数

  1. Point(Circle[A, length]) → B
  2. Segment(A, B) → f
  3. Point(Circle[A, width]) → C
  4. Segment(A, C) → g
  5. Point(Circle[B, width]) → D
  6. Segment(B, D) → h
  7. Point(Circle[C, length]) → E
  8. Segment(C, E) → i
  9. Point(Circle[C, height]) → F
  10. Segment(C, F) → j
  11. Point(Circle[A, height]) → G
  12. Segment(A, G) → k
  13. Point(Circle[B, height]) → H
  14. Segment(B, H) → l
  15. Point(Circle[E, height]) → I
  16. Segment(E, I) → m
  17. Point(Circle[C, height]) → J
  18. Segment(C, J) → n
  19. Point(Circle[A, height]) → K
  20. Segment(A, K) → p
  21. Point(Circle[E, height]) → L
  22. Segment(E, L) → q
  23. Point(Circle[B, height]) → M
  24. Segment(B, M) → r
  25. Segment(J, K) → s
  26. Segment(G, H) → t
  27. Segment(M, L) → d
  28. Segment(F, I) → e
  29. Point(Circle[L, length]) → N
  30. Segment(L, N) → f_1
  31. Point(Circle[M, length]) → O
  32. Segment(M, O) → g_1
  33. Segment(N, O) → h_1
  34. Polygon(L, M, O, N) → poly1, l_1, m_1, o, n_1
  35. Polygon(C, A, B, E) → poly2, c, a, b, e_1
  36. Polygon(J, C, A, K) → poly3, j_1, c_1, a_1, k_1
  37. Polygon(F, I, E, C) → poly4, f_2, i_1, e_2, c_2
  38. Polygon(A, G, H, B) → poly5, a_2, g_2, h_2, b_1
  39. Polygon(E, L, M, B) → poly6, e_3, l_2, m_2, b_2
  40. Point(Circle[J, 2.83]) → P
  41. Segment(J, P) → p_1
  42. Point(Circle[K, 2.83]) → Q
  43. Segment(K, Q) → q_1
  44. Polygon(P, Q, K, J) → poly7, p_2, q_2, k_2, j_2
  45. Point(Circle[F, 2.83]) → R
  46. Segment(F, R) → r_1
  47. Point(Circle[I, 2.83]) → S
  48. Segment(I, S) → s_1
  49. Polygon(F, R, S, I) → poly8, f_3, r_2, s_2, i_2
  50. Point(Circle[F, 2.83]) → T
  51. Segment(F, T) → t_1
  52. Point(Circle[C, 2.83]) → U
  53. Segment(C, U) → d_1
  54. Point(Circle[I, 2.83]) → V
  55. Segment(I, V) → n_2
  56. Point(Circle[E, 2.83]) → W
  57. Segment(E, W) → t_2
  58. Polygon(F, T, U, C) → poly9, f_4, t_3, u, c_3
  59. Polygon(I, E, W, V) → poly10, i_3, e_4, w, v
  60. Point(Circle[A, 2.83]) → Z
  61. Segment(A, Z) → d_2
  62. Point(Circle[B, 2.83]) → A_1
  63. Segment(B, A_1) → g_3
  64. Point(Circle[G, 2.83]) → B_1
  65. Segment(G, B_1) → h_3
  66. Point(Circle[H, 2.83]) → C_1
  67. Segment(H, C_1) → j_3
  68. Point(Circle[G, 2.83]) → D_1
  69. Segment(G, D_1) → k_3
  70. Point(Circle[H, 2.83]) → E_1
  71. Segment(H, E_1) → l_3
  72. Polygon(A, Z, B_1, G) → poly11, a_3, z_1, b_3, g_4
  73. Polygon(G, H, E_1, D_1) → poly12, g_5, h_4, e_5, d_3
  74. Polygon(B, H, C_1, A_1) → poly13, b_4, h_5, c_4, a_4