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Two Pyramids

Two Pyramids
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2015-02-21 01:02
VectorSolid GeometryGeometric Construction
This example demonstrates the construction of two pyramids. It involves geometric concepts of pyramids, including the construction of points, lines, and planes, as well as orthogonal planes. Using GeoGebra commands such as PointIn, Polygon, and OrthogonalLine, the construction process of the pyramids can be dynamically shown. Suitable for students at the junior high school level and above to learn solid geometry.

GeoGebra Commands & Parameters

  1. PointIn(a) → A
  2. PointIn(a) → B
  3. PointIn(a) → C
  4. PointIn(a) → D
  5. PointIn(a) → E
  6. PointIn(a) → F
  7. PointIn(a) → G
  8. Polygon(A, B, C, D, E, F, G) → poly1, a_1, b, c, d, e, f, g
  9. OrthogonalLine(H, a) → h
  10. Point(h) → I
  11. Polygon(J, K, N, M) → poly2, j, k, n, m
  12. Vector(H, I) → u
  13. Segment(I, H) → g_1
  14. Point(g_1) → O
  15. Plane(O, a) → o
  16. OrthogonalPlane(I, h) → i
  17. PointIn(i) → P
  18. PointIn(i) → Q
  19. Segment(P, G) → l
  20. Segment(P, A) → p
  21. Segment(P, B) → q
  22. Intersect(q, p) → R
  23. Segment(R, C) → r
  24. Segment(R, D) → s
  25. Segment(R, E) → t
  26. Segment(P, F) → b_1
  27. Segment(Q, J) → c_1
  28. Segment(Q, K) → d_1
  29. Segment(Q, N) → e_1
  30. Segment(Q, M) → f_1
  31. Intersect(e_1, o) → S
  32. Intersect(d_1, o) → T
  33. Intersect(c_1, o) → U
  34. Intersect(f_1, o) → V
  35. Polygon(U, T, S, V) → poly3, u_1, t_1, s_1, v
  36. Intersect(t, o) → W
  37. Intersect(s, o) → Z
  38. Intersect(r, o) → A_1
  39. Intersect(q, o) → B_1
  40. Intersect(p, o) → C_1
  41. Intersect(l, o) → D_1
  42. Intersect(b_1, o) → E_1
  43. Polygon(C_1, B_1, A_1, Z, W, E_1, D_1) → poly4, c_2, b_2, a_2, z_1, w, e_2, d_2
  44. Polygon(J, N, Q) → poly5, q_1, j_1, n_1
  45. Segment(U, S) → h_1