正四棱锥

正四棱锥
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2018-01-27 05:49
该范例演示正四棱锥的几何构造。涉及的核心数学概念包括正多边形、中线和立体几何。通过使用GeoGebra命令如Intersect、Circle、Point等,可以构建正四棱锥的各个元素。适合初中及以上学生或教师使用。

GeoGebra 命令及参数

  1. Intersect(xAxis, yAxis) → A
  2. Circle(A, a) → c
  3. Intersect(c, xAxis) → B_1, B
  4. Circle(A, b) → d
  5. Intersect(d, yAxis) → D, E
  6. Point(c) → Δ
  7. Segment(A, Δ) → e
  8. Line(B, e) → f
  9. Line(Δ, xAxis) → g
  10. Intersect(f, g) → Γ
  11. Segment(Δ, B) → h
  12. Segment(Γ, A) → i
  13. Intersect(h, i) → O
  14. Line(O, xAxis) → j
  15. Intersect(f, j) → M
  16. OrthogonalLine(O, xAxis) → k
  17. Line(D, i) → l
  18. Intersect(k, l) → K
  19. Segment(A, K) → m
  20. Segment(K, Γ) → n
  21. Segment(K, Δ) → p
  22. Segment(K, B) → q
  23. Segment(Γ, B) → r
  24. Segment(Δ, Γ) → s
  25. Segment(A, B) → t
  26. Segment(K, M) → a_1
  27. Segment(O, M) → b_1
  28. Segment(K, O) → c_1
  29. Polygon(O, M, K) → poly1, k_1, h_1, i_1
  30. Polygon(Δ, Γ, B, A) → poly2, f_1, g_1, c_2, a_2
  31. Angle(O, A, K) → ω
  32. Angle(K, M, O) → φ
  33. Point(m) → C
  34. Point(c_1) → G
  35. Point(h_1) → I
  36. Point(g_1) → P
  37. Vector(P, Q) → u
  38. Vector(I, L) → v
  39. Vector(G, H) → w
  40. Vector(C, F) → z
  41. Vector(N, R) → u_1