立方体展开图 by Sunny Chan

立方体展开图 by Sunny Chan
几何画板及绘图内容加载中,请稍等……
2019-09-17 10:33
这个范例演示了立方体的展开图。涉及的核心数学概念包括立体几何和几何作图。通过使用GeoGebra命令如Intersect、Vector、Rotate等,可以构造立方体的展开图。适合初中及以上学生学习立体几何。

GeoGebra 命令及参数

  1. Intersect(xAxis, yAxis) → A
  2. Vector(A, H) → v
  3. CircumcircleArc(R, U, E) → f
  4. Point(f) → V
  5. Rotate(G1, 116.57°, V) → E1
  6. LineBisector(E1, G1) → m
  7. Point(m) → I1
  8. CircleArc(A, B, M) → d
  9. Point(d) → N
  10. Circle(V, N) → q
  11. Segment(V, C1) → i
  12. Intersect(q, i) → D1,
  13. Translate(N, v) → O
  14. Vector(A, C) → u
  15. Translate(V, u) → W
  16. Polygon(H, V, W, G) → poly5, h_2, v_1, w, g_2
  17. OrthogonalLine(V, h_2) → b
  18. Point(b) → Q
  19. Dilate(H, -0.8, A) → I
  20. CircumcircleArc(B, J, I) → c
  21. Point(c) → K
  22. Translate(K, u) → L
  23. Polygon(A, K, L, C) → poly1, a, k, l, c_1
  24. Polygon(N, O, H, A) → poly2, n, o, h, a_1
  25. Polygon(A, H, G, C) → poly3, a_2, h_1, g, c_2
  26. CircleArc(C, P, D) → e
  27. Translate(R, u) → T
  28. Translate(R, u) → R'
  29. Translate(E, u) → E'
  30. CircumcircleArc(E1, I1, G1) → p
  31. Point(p) → B1
  32. Translate(N, u) → N'
  33. Translate(Z, u) → Z'
  34. Angle(D1, V, N) → α
  35. Point(p) → F1
  36. Segment(E1, G1) → j
  37. Intersect(j, m) → H1
  38. Polygon(V, F1, A1, W) → poly4, v_2, f1, a1, w_1
  39. CircumcircleArc(J1, K1, P) → r
  40. Point(r) → L1
  41. Polygon(C, L1, M1, G) → poly6, c_3, l1, m1, g_1