积极 AI Logo 积极 AI

FedEx Logo 几何构造

FedEx Logo 几何构造
几何画板及绘图内容加载中，请稍等……
2019-06-26 04:55
圆向量几何作图
①本范例演示如何通过 GeoGebra 构造 FedEx Logo 的几何图形；②涉及核心数学概念包括向量、中点、角、三角形、圆、多边形等；③作图要点：运用了 Vector, OrthogonalVector, Midpoint, LineBisector, Line, OrthogonalLine, Intersect, Mirror, Circle, Polygon, Semicircle, CircleArc, Segment, CurveCartesian 等命令和对象；④适合高中及以上数学学习者和几何爱好者用于学习和探索。

GeoGebra 命令及参数

  1. Vector(A, B) → u
  2. OrthogonalVector(u) → v
  3. Midpoint(C, A) → S
  4. Midpoint(G, F) → J
  5. LineBisector(I, K) → l
  6. Line(A, B) → f
  7. OrthogonalLine(F, f) → i
  8. OrthogonalLine(J, f) → k
  9. OrthogonalLine(B, f) → h
  10. OrthogonalLine(S, h) → j
  11. Intersect(j, k) → V
  12. Line(H_1, f) → p
  13. Mirror(L, p) → L'
  14. Intersect(i, p) → F_2
  15. Mirror(I, j) → I'
  16. OrthogonalLine(I', l) → n
  17. OrthogonalLine(A_2, n) → g_1
  18. Intersect(p, g_1) → E_2
  19. Midpoint(U, V) → W
  20. Circle(E_1, W, K) → c
  21. Intersect(c, p) → I_1, J_1
  22. OrthogonalLine(A_1, l) → m
  23. Intersect(m, l) → C_1
  24. OrthogonalLine(A, f) → g
  25. Mirror(H, j) → H'
  26. Intersect(l, n) → D_1
  27. Polygon(H', H, I, U, W, B_1, Z, A_1, C_1, D_1) → poly1, h', d_1, h_1, i_1, u_1, w, b_1, z_1, a_1, c_1
  28. Mirror(F_1, k) → G_1
  29. OrthogonalLine(F_1, p) → q
  30. Mirror(K_1, k) → O_1
  31. Semicircle(K_1, O_1) → e
  32. Line(M_1, f) → r
  33. Intersect(c, r) → L_1, N_1
  34. Intersect(e, r) → P_1, Q_1
  35. Polygon(J_1, K_1, Q_1, N_1) → q1, j_1, k_1, q_1, n_1
  36. Mirror(R_1, k) → S_1
  37. Mirror(U_1, k) → V_1
  38. CircleArc(T_1, V_1, U_1) → d
  39. Segment(U_1, V_1) → t
  40. Segment(I_1, J_1) → a
  41. Line(Z, f) → b
  42. Intersect(b, i) → W_1
  43. CurveCartesian(((1 - t)^(3) * A_2) + (((3 * (1 - t)^(2)) * t) * A_4) + (((3 * (1 - t)) * t^(2)) * B_4) + (t^(3) * J_1), t, 0, 1) → e_1
  44. Mirror(e_1, p) → f_1
  45. Mirror(A_2, p) → D_2
  46. CurveCartesian(((1 - t)^(3) * F_2) + (((3 * (1 - t)^(2)) * t) * B_2) + (((3 * (1 - t)) * t^(2)) * C_2) + (t^(3) * E_2), t, 0, 1) → l_1
  47. Mirror(l_1, p) → m_1
  48. Mirror(M, j) → M'
  49. Mirror(N, j) → N'
  50. Polygon(M', N', N, M) → q2, m', n', n_2, m_2
  51. Polygon(J_1, L, F_2) → t1, f_2, p_1, l_2
  52. Mirror(J_1, p) → I_2
  53. Mirror(F_2, p) → J_2
  54. Polygon(I_2, L', J_2) → t1', j_2, i_2, l'
  55. LineBisector(K_2, E_2) → r_1
  56. Intersect(r_1, i) → L_2
  57. Intersect(r_1, p) → M_2
  58. Polygon(E_2, A_2, K_2) → t2, k_2, e_2, a_2
  59. Mirror(A_2, p) → N_2
  60. Mirror(K_2, p) → O_2
  61. Segment(N_2, O_2) → t_1
  62. Mirror(E_2, p) → P_2
  63. Mirror(A_2, p) → Q_2
  64. Segment(P_2, Q_2) → g_2
  65. Mirror(E_2, p) → R_2
  66. Mirror(A_2, p) → S_2
  67. Segment(R_2, S_2) → h_2
  68. Mirror(E_2, p) → T_2
  69. Mirror(A_2, p) → U_2
  70. Mirror(K_2, p) → V_2
  71. Polygon(T_2, U_2, V_2) → t2', v_2, t_2, u_2
  72. OrthogonalLine(P, f) → p_2
  73. Polygon(E_2, A_2, L') → t3, s, s_1, q_2
  74. Mirror(l_1, p) → v_1
  75. Mirror(E_2, p) → W_2
  76. Mirror(A_2, p) → Z_2
  77. Mirror(L', p) → L''
  78. Polygon(W_2, Z_2, L'') → t3', l'', w_2, z_2
  79. Mirror(l_6, p) → o_1
  80. Line(A_3, p_2) → r_2
  81. Intersect(p_2, n) → B_3
  82. Intersect(p_2, m) → C_3
  83. Intersect(r_2, m) → D_3
  84. Mirror(m, j) → m'_1
  85. Intersect(m'_1, p_2) → I_3
  86. Intersect(r_2, m'_1) → J_3
  87. Intersect(r_1, p_2) → G_3
  88. Intersect(r_2, r_1) → H_3
  89. Polygon(N', B_3, P, N, C_3, D_3, F_3, E_3, G_3, H_3, J_3, I_3) → poly2, s_2, i_3, p_3, n_3, b_3, c_3, d_3, f_3, e_3, g_3, h_3, j_3
  90. OrthogonalLine(O, f) → b_2
  91. LineBisector(H_3, J_3) → c_2
  92. Line(M_3, Q) → d_2
  93. Line(K, A_3) → k_3
  94. LineBisector(Q, R) → l_3
  95. Intersect(d_2, c_2) → O_3
  96. Polygon(N_3, O_3, P, Q, P_3, Q_3, M_3) → poly3, m_3, o_3, p_4, q_3, r_3, s_3, t_3
  97. Mirror(N_3, l_3) → R_3
  98. Mirror(O_3, l_3) → S_3
  99. Mirror(P, l_3) → P'
  100. Mirror(Q, l_3) → Q'
  101. Mirror(P_3, l_3) → T_3
  102. Mirror(Q_3, l_3) → U_3
  103. Mirror(M_3, l_3) → V_3
  104. Polygon(R_3, S_3, P', Q', T_3, U_3, V_3) → poly3', a_3, f_4, p', q', g_4, u_3, v_3
  105. Intersect(i, m'_1) → G_2
  106. Intersect(m'_1, o_1) → H_2, W_3, Z_3
  107. Polygon(G_2, H_2, J_2) → t4, h_4, i_4, j_4
  108. Mirror(J_2, c_2) → E_4
  109. Polygon(C_4, D_4, E_4) → t5, e_4, c_4, d_4
  110. CircleArc(H_1, M_1, I_2) → k_4