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四棱锥展开图 by Ben Roth

四棱锥展开图 by Ben Roth
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2019-08-19 09:57
多边形立体几何几何作图
这个范例演示了四棱锥的展开图。核心数学概念包括立体几何中的多面体展开。通过使用GeoGebra命令如OrthogonalLine, Intersect, Polygon等，可以构造出四棱锥的展开图。适合初中及以上学生学习立体几何。

GeoGebra 命令及参数

  1. OrthogonalLine(D, yAxis) → c
  2. OrthogonalLine(C, yAxis) → a
  3. OrthogonalLine(B, xAxis) → e
  4. Intersect(c, e) → H
  5. Intersect(a, e) → E
  6. OrthogonalLine(A, xAxis) → d
  7. Intersect(a, d) → F
  8. Intersect(c, d) → G
  9. Polygon(E, F, G, H) → poly1, e_1, f, g, h_1
  10. Pyramid(poly1, h) → j, J, faceEFJ, faceFGJ, faceGHJ, faceEHJ, edgeEJ, edgeFJ, edgeGJ, edgeHJ
  11. Net(j, Net) → l, K, faceKLO, faceLMP, faceMNQ, faceKNR, edgeKL, edgeLM, edgeMN, edgeKN, edgeKO, edgeLO, L, Edge, edgeMP, edgeMQ, edgeNQ, edgeNR, edgeKR, M, N, O, P, Q, R, faceKLMN
  12. Intersect(Edge, edgeMP) → U
  13. Polygon(I, A, B) → poly2, Edge_1, i, a_1
  14. Segment(S, R) → k
  15. Segment(I, S) → Slant_1
  16. Intersect(xAxis, f) → T
  17. Angle(R, T, M) → α
  18. Angle(R, S, T) → β
  19. Segment(T, U) → Slant