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长方体展开图 by Simon

长方体展开图 by Simon
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2017-03-29 05:50
多边形立体几何几何作图
这个范例演示了长方体的展开图。涉及的核心数学概念包括长方体的几何性质。通过使用GeoGebra命令如Point, Segment, OrthogonalLine等，可以构造长方体的各个面。适合初中及以上学生学习立体几何。

GeoGebra 命令及参数

  1. Point(Circle[A, abs(length)]) → B
  2. Segment(A, B) → a
  3. Point(Circle[B, abs(width)]) → C
  4. Segment(B, C) → b
  5. OrthogonalLine(A, a) → c
  6. OrthogonalLine(C, b) → d
  7. Intersect(c, d) → D
  8. Point(Circle[B, abs(height)]) → E
  9. Segment(B, E) → e
  10. OrthogonalLine(E, e) → f
  11. Point(Circle[C, abs(height)]) → F
  12. Segment(C, F) → g
  13. Line(F, d) → h
  14. Point(Circle[A, abs(height)]) → G
  15. Segment(A, G) → i
  16. Line(G, a) → j
  17. Line(B, c) → k
  18. Line(A, d) → l
  19. Point(Circle[D, abs(height)]) → H
  20. Segment(D, H) → m
  21. Line(H, c) → n
  22. Point(Circle[F, abs(width)]) → I
  23. Segment(F, I) → p
  24. Line(I, h) → q
  25. Intersect(c, q) → J
  26. Intersect(c, h) → K
  27. Intersect(l, n) → L
  28. Intersect(j, k) → M
  29. Intersect(d, f) → N
  30. Segment(G, M) → r
  31. Segment(M, I) → s
  32. Segment(I, J) → t
  33. Segment(J, G) → c_1
  34. Segment(L, E) → d_1
  35. Segment(E, N) → f_1
  36. Segment(N, H) → h_1
  37. Segment(H, L) → j_1
  38. Segment(K, F) → k_1
  39. Polygon(L, A, D, H) → poly1, l_1, a_2, d_2, h_2
  40. Polygon(G, M, B, A) → poly2, g_2, m_1, b_2, a_3
  41. Polygon(B, E, N, C) → poly3, b_3, e_2, n_1, c_2
  42. Polygon(A, B, C, D) → poly4, a_4, b_4, c_3, d_3
  43. Polygon(D, C, F, K) → poly5, d_4, c_4, f_2, k_2
  44. Polygon(K, F, I, J) → poly6, k_3, f_3, i_2, j_2
  45. Polygon(L, A, D, H, G, M, B, E, N, C, I, J) → poly7, l_2, j_3, d_5, h_3, a_5, g_3, m_2, b_5, e_3, n_2, c_5, i_3