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雷诺标志的几何构造

雷诺标志的几何构造
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2019-12-16 02:55
多边形向量几何作图
这个范例演示了如何使用GeoGebra构造雷诺标志。涉及的核心数学概念包括向量、多边形和几何变换。通过使用Vector, OrthogonalVector, Midpoint, LineBisector等命令，可以构造出标志中的平行四边形和菱形。适合高中几何课程使用。

GeoGebra 命令及参数

  1. Vector(A, B) → u
  2. OrthogonalVector(u) → v
  3. Midpoint(C, A) → J
  4. LineBisector(A, C) → d
  5. Mirror(K, d) → K'_1
  6. OrthogonalLine(M, d) → i
  7. Intersect(d, i) → O
  8. LineBisector(A, B) → m
  9. Line(A, B) → s
  10. OrthogonalLine(A, s) → b
  11. OrthogonalLine(I, b) → h
  12. Mirror(h, d) → h'
  13. Intersect(m, h') → N
  14. Mirror(F, m) → F'
  15. Polygon(F', O, K, F) → q1, f', o_1, k, f_1
  16. Intersect(m, k) → P
  17. Vector(K'_1, P) → a
  18. Intersect(m, d) → E
  19. OrthogonalLine(C, v, xOyPlane) → f
  20. Intersect(f, m) → U
  21. Mirror(i, m) → i'
  22. Intersect(h, m) → S
  23. Mirror(Q, m) → Q'
  24. OrthogonalLine(B, u, xOyPlane) → g
  25. Intersect(g, f) → D
  26. Mirror(M, m) → M'
  27. Midpoint(E, M') → L
  28. Intersect(g, h') → A_1
  29. Polygon(A, B, D, C) → q11, a_3, b_2, d_2, c_3
  30. Mirror(K, E) → K'
  31. Mirror(F', E) → F''
  32. Mirror(K, m) → K'_2
  33. Polygon(F, M', K', P) → q2, f_2, m', k', p
  34. Mirror(F', E) → F''_1
  35. Mirror(O, E) → O'
  36. Mirror(K, E) → K'_3
  37. Mirror(F, E) → F'_2
  38. Polygon(F''_1, O', K'_3, F'_2) → q1', f''_1, o', k'_3, f'_2
  39. Mirror(F, E) → F'_3
  40. Mirror(M', E) → M''
  41. Mirror(K', E) → K''
  42. Mirror(P, E) → P'
  43. Polygon(F'_3, M'', K'', P') → q2', f'_3, m'', k'', p'
  44. Segment(P', K'_2) → j
  45. Segment(P, K'_1) → l
  46. LaTeX(q11, true, true) → text1
  47. Mirror(R, m) → R'
  48. Mirror(T, m) → T'
  49. Mirror(T, d) → T'_1
  50. Mirror(T', d) → T''
  51. Polygon(P, W, Z, K'_2) → c1, p_1, w, z_1, k'_2
  52. Polygon(T', T, R', T'_1, F'_1, R) → polígono1, t', t, r', t'_1, f'_1, r
  53. Vector(O', F) → c
  54. Polygon(P, H, F) → t1, f_3, p_2, h_1
  55. Polygon(P', F'_3, F'') → t2, f'', n, q
  56. Polygon(M', V, P', K'_2) → q3, e, v_1, g_1, i_1