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几何画板及绘图内容加载中，请稍等……
2019-10-30 05:12
多边形向量几何作图
这个范例演示了如何使用GeoGebra绘制Facebook标志。涉及的核心数学概念包括几何图形和变换。通过使用Vector, OrthogonalVector, Midpoint, Line, Mirror, Polygon等命令，可以构造出标志的各个部分。适合用于初中及以上年级的几何教学。

GeoGebra 命令及参数

  1. Vector(A, B) → u
  2. OrthogonalVector(u) → v
  3. Midpoint(E, B) → D
  4. Line(A, B) → m
  5. Line(F, m) → h
  6. Mirror(h, D) → h'
  7. Line(D, h') → j
  8. Line(Q_1, j) → j_2
  9. OrthogonalLine(D, j) → k
  10. Intersect(k, h) → M
  11. OrthogonalLine(L, h) → g_1
  12. Line(E, m) → f
  13. OrthogonalLine(B, f) → g
  14. Intersect(g, f) → C
  15. OrthogonalLine(G, m) → i
  16. Mirror(i, D) → i'
  17. Intersect(i, h') → I
  18. Polygon(E, C, B, A) → q2, e, c, b, a
  19. Intersect(h, i) → P
  20. Mirror(Q, j) → Q'
  21. Line(R, j) → p
  22. Mirror(p, j) → p'
  23. OrthogonalLine(Q', p') → q
  24. Intersect(q, p) → S
  25. Mirror(S, j) → S'
  26. Intersect(i, p') → K
  27. Intersect(j, q) → J
  28. Intersect(i', j_2) → N
  29. Line(W, m) → f_1
  30. Mirror(Q, k) → Q'_1
  31. Mirror(R, k) → R'
  32. Mirror(R, j) → R'_1
  33. Mirror(Q, j) → Q'_2
  34. Mirror(R', j) → R''
  35. Mirror(Q'_1, j) → G_1
  36. LineBisector(R'_1, Q'_2) → f_2
  37. CircleArc(S', Q'_2, R'_1) → c_2
  38. Mirror(c_2, k) → d
  39. Mirror(c_2, j) → s
  40. Mirror(d, j) → d'
  41. OrthogonalLine(H, m) → l
  42. OrthogonalLine(T, m) → n
  43. OrthogonalLine(U, h) → r
  44. OrthogonalLine(O', r) → t
  45. Line(O, j) → h_1
  46. Line(V, j) → i_1
  47. Intersect(t, l) → A_1
  48. Intersect(t, n) → B_1
  49. Intersect(t, g_1) → C_1
  50. Intersect(l, j_2) → E_1
  51. Intersect(j_2, r) → H_1
  52. Intersect(n, j_2) → I_1
  53. Intersect(h_1, l) → J_1
  54. Intersect(h_1, n) → K_1
  55. Intersect(n, i_1) → L_1
  56. CircleSector(K_1, L_1, J_1) → c_1
  57. Intersect(r, h_1) → M_1
  58. Intersect(r, i_1) → N_1
  59. Intersect(j_2, g_1) → D_1
  60. Polygon(J_1, E_1, I_1, P_1, O_1, D_1, C_1, A_1, H, T, B_1, F_1, H_1) → poly1, j_1, m_1, n_1, p_1, o_1, e_1, d_1, k_1, a_1, h_2, t_1, b_1, l_1
  61. Polygon(L_1, N_1, M_1, O_1, P_1) → poly2, q_1, r_1, s_1, g_2, i_2
  62. Polygon(R'', G_1, Q'_2, R'_1, R, Q, Q'_1, R') → poly3, r'', k_2, q'_2, r'_1, r_2, q_2, q'_1, r'
  63. Segment(H, T) → l_2
  64. Midpoint(K_1, H_1) → R_1
  65. Midpoint(K_1, R_1) → S_1
  66. CircleSector(S_1, O_1, P_1) → d_2