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平行四棱锥

平行四棱锥
几何画板及绘图内容加载中，请稍等……
2020-03-16 16:46
多边形向量解析几何立体几何几何作图
①本范例演示平行四棱锥的构造与性质；②涉及核心数学概念包括多边形、立体几何、向量、解析几何；③作图要点：使用Polygon、Pyramid、Net、OrthogonalLine、Intersect、Angle、PointIn、Segment等GeoGebra命令构建几何体与辅助线；④适合高中立体几何教学与学习，用于理解空间图形的构成与计算。

GeoGebra 命令及参数

  1. Polygon(A, B, C, D) → q1, a, b, c, d
  2. Pyramid(q1, f) → g, F, faceABF, faceBCF, faceCDF, faceADF, edgeAF, edgeBF, edgeCF, edgeDF
  3. Net(g, OpenClose) → h, E, faceEGJ, faceGHK, faceHIL, faceEIM, edgeEG, edgeGH, edgeHI, edgeEI, edgeEJ, edgeGJ, G, edgeGK, edgeHK, edgeHL, edgeIL, edgeIM, edgeEM, H, I, J, K, L, M, faceEGHI
  4. OrthogonalLine(B, edgeEI, space) → i
  5. Intersect(i, edgeEI) → N
  6. Angle(B, N, A) → α
  7. PointIn(faceEGHI) → PointfaceEGHI
  8. OrthogonalLine(K, edgeGH, space) → k
  9. Intersect(k, edgeGH) → O
  10. Angle(K, O, B) → β
  11. OrthogonalLine(M, edgeEI, space) → m
  12. Intersect(m, edgeEI) → P
  13. Angle(M, P, D) → γ
  14. OrthogonalLine(J, edgeEG, space) → p
  15. OrthogonalLine(L, edgeHI, space) → q
  16. Intersect(edgeHI, q) → Q
  17. Angle(L, Q, C) → δ
  18. Intersect(edgeEG, p) → S
  19. Angle(J, S, A) → ζ
  20. Segment(S, J) → f_1
  21. Segment(P, M) → g_1
  22. Segment(Q, L) → h_1
  23. Segment(N, B) → i_1
  24. Segment(O, K) → j_1
  25. Segment(B, A) → k_1
  26. Segment(A, D) → l_1
  27. Segment(D, C) → m_1
  28. Segment(C, B) → n_1