三棱柱展开图

三棱柱展开图
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2018-05-02 01:22
该范例演示了三棱柱的展开图。涉及的核心数学概念包括多边形和立体几何。通过使用GeoGebra命令如Polygon、Intersect、Point等,可以构造三棱柱的展开图。适合初中或高中学生学习立体几何。

GeoGebra 命令及参数

  1. Polygon(A, B, C, D) → q1, a, b, c, d
  2. Intersect(d, yAxis) → G
  3. Point(yAxis) → H
  4. Intersect(xAxis, yAxis) → I
  5. Point(yAxis) → J
  6. Circle(I, E, J) → e
  7. Point(e) → K
  8. Segment(K, D) → f
  9. Segment(K, A) → g
  10. Point(yAxis) → L
  11. Circle(I, F, L) → h
  12. Point(h) → M
  13. Segment(M, B) → i
  14. Segment(M, C) → j
  15. Point(xAxis) → R
  16. Point(xAxis) → S
  17. Point(zAxis) → T
  18. Plane(R, S, T) → l
  19. Intersect(a, i) → Q
  20. Intersect(b, yAxis) → V
  21. Circle(Q, 4.24, yAxis) → p
  22. Point(p) → O
  23. Mirror(O, l) → O'
  24. Segment(O, Q) → m
  25. Segment(O, O') → n
  26. Intersect(a, d) → W
  27. Segment(O', W) → q
  28. Circle(C, 4.24, yAxis) → k
  29. Point(k) → Z
  30. Mirror(Z, l) → Z'
  31. Segment(Z', Z) → r
  32. Point(b) → A_1
  33. Segment(Z, A_1) → s
  34. Intersect(c, d) → B_1
  35. Segment(Z', B_1) → t
  36. Segment(Z', Z) → f_1
  37. Polygon(Z', Z, A_1, D) → q2, z', z_1, a_1, d_1