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Double W Truss

Double W Truss
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2017-05-13 02:33
TrigonometryCoordinate GeometryGeometric Construction
This example demonstrates the structure and geometric properties of a Double W Truss. Core math concepts include geometric construction, angle calculation, and line segment relationships. Key GeoGebra commands used are Rotate, Line, Segment, OrthogonalLine, Intersect, and Angle. Suitable for high school and above students studying truss structures, geometric modeling, and spatial geometry.

GeoGebra Commands & Parameters

  1. Rotate(A_2, 120°, B_2) → A'_1
  2. Line(B_2, A_2) → f_2
  3. Line(B_2, A'_1) → g_2
  4. Line(A_2, A'_1) → h_2
  5. Segment(A_2, B_2) → i_2
  6. Segment(B_2, A'_1) → j_2
  7. Segment(A'_1, A_2) → k_2
  8. OrthogonalLine(B_2, k_2) → a_2
  9. Rotate(A_2, 30°, B_2) → A_1
  10. Line(B_2, A_1) → f_1
  11. Rotate(A'_1, (-(30°)), B_2) → E_1
  12. Line(B_2, E_1) → j_1
  13. Rotate(A'_1, (-(45°)), B_2) → C
  14. Rotate(A_2, 45°, B_2) → D
  15. Line(B_2, D) → f
  16. Line(B_2, C) → g
  17. Intersect(f, k_2) → E
  18. Intersect(g, k_2) → F
  19. Intersect(j_2, k_2) → G
  20. Intersect(g, k_2) → H
  21. Intersect(j_2, k_2) → I
  22. Rotate(A'_1, 70°, F) → J
  23. Angle(A'_1, F, J) → γ
  24. Rotate(A_2, (-(70°)), E) → K
  25. Angle(K, E, A_2) → δ
  26. Line(E, K) → h
  27. Line(F, J) → i
  28. Intersect(h, i_2) → L
  29. Intersect(i, j_2) → M
  30. Rotate(A'_1, (-(20°)), M) → N
  31. Angle(N, M, A'_1) → ε
  32. Rotate(A_2, 20°, L) → O
  33. Angle(A_2, L, O) → ζ
  34. Line(L, O) → j
  35. Line(M, N) → k
  36. Intersect(j, k_2) → P
  37. Intersect(k, k_2) → Q
  38. OrthogonalLine(P, k_2) → l
  39. OrthogonalLine(Q, k_2) → m
  40. Segment(P, L) → p
  41. Segment(E, L) → q
  42. Segment(E, B_2) → r
  43. Segment(F, B_2) → s
  44. Segment(F, M) → t
  45. Segment(M, Q) → a
  46. Angle(F, E, B_2) → η
  47. Angle(B_2, F, E) → θ
  48. OrthogonalLine(Q, j_2) → n
  49. OrthogonalLine(P, i_2) → b
  50. Intersect(b, i_2) → R
  51. Intersect(n, j_2) → S
  52. Segment(P, R) → c
  53. Segment(Q, S) → d
  54. Angle(A_2, R, P) → ι
  55. Angle(Q, S, A'_1) → κ