logo家乐福(贝塞尔曲线)

logo家乐福(贝塞尔曲线)
几何画板及绘图内容加载中,请稍等……
2019-06-03 19:14
这个范例演示了如何使用贝塞尔曲线绘制家乐福标志。涉及的核心数学概念包括贝塞尔曲线、向量和几何变换。通过使用Polygon、LineBisector、Vector、Line、Mirror、Intersect等GeoGebra命令,可以构造出标志的各个部分。适合高中及以上学生或教师用于教学和学习几何变换和曲线绘制。

GeoGebra 命令及参数

  1. Polygon(A, B, 8) → polígono1, f, D, E, F, G, H, g, h, i, j, k, l, m, C
  2. LineBisector(C, D) → p
  3. Vector(H, G) → u
  4. Line(M, p) → f_1
  5. Mirror(F, f_1) → F'
  6. Mirror(F', f_1) → F''
  7. Line(J, p) → r
  8. LineBisector(A, B) → n
  9. Vector(A, B) → v
  10. Line(N, n) → h_1
  11. Intersect(h_1, r) → P
  12. Line(O, n) → g_1
  13. Line(F, p) → a
  14. Intersect(g_1, a) → Q
  15. Intersect(g_1, r) → S_1
  16. Line(H, W) → r_3
  17. Mirror(P, r_3) → P'_1
  18. Midpoint(S_1, P'_1) → A_2
  19. Intersect(n, p) → I
  20. CircleArc(I, F, G) → c
  21. Mirror(c, p) → c'
  22. Mirror(c', n) → c''
  23. Mirror(G, n) → G'
  24. Mirror(H, n) → H'
  25. LineBisector(J, D) → t
  26. LineBisector(F, K) → q
  27. Intersect(q, t) → L
  28. CircleArc(L, F, K) → e
  29. Mirror(P, f_1) → P'
  30. Mirror(Q, f_1) → Q'
  31. CircleArc(R, Q, Q') → c_1
  32. LineBisector(P, Q) → i_1
  33. Intersect(i_1, a) → S
  34. CircleArc(I, A, B) → e_1
  35. Rotate(e_1, 90°, I) → k_1
  36. LineBisector(H, K) → s
  37. OrthogonalLine(R, f_1) → b
  38. Intersect(b, s) → T
  39. CircleArc(U, K, H) → p_1
  40. Mirror(W, h_1) → W'
  41. LineBisector(Q, W) → j_1
  42. Intersect(j_1, n) → Z
  43. Intersect(j_1, a) → A_1
  44. Midpoint(A_1, Z) → B_1
  45. LineBisector(W', F) → l_1
  46. Intersect(l_1, j_1) → C_1
  47. CircleArc(C_1, F, W') → r_1
  48. Intersect(t, g_1) → E_1
  49. CircleArc(E_1, D, J) → d
  50. Intersect(h_1, f_1) → D_1
  51. Segment(J, F_1) → m_1
  52. Translate(W, Vector[(-2 * v)]) → W'_1
  53. Mirror(F_1, h_1) → I_1
  54. Segment(I_1, W'_1) → n_1
  55. Mirror(I_1, f_1) → G_1
  56. Mirror(W'_1, f_1) → J_1
  57. Segment(G_1, J_1) → a_1
  58. Mirror(c', f_1) → c''_1
  59. Mirror(c'', f_1) → c'''
  60. Mirror(r_1, f_1) → d_2
  61. Mirror(p_1, f_1) → e_2
  62. Mirror(J, f_1) → J'
  63. Mirror(F_1, f_1) → K_1
  64. Segment(J', K_1) → b_1
  65. Mirror(d, f_1) → d'
  66. Mirror(e, f_1) → e'
  67. Mirror(e_1, f_1) → h_2
  68. Mirror(k_1, f_1) → k_2
  69. Polygon(W, W', F, Q) → c1, w, w', f_3, q_2
  70. Mirror(W, f_1) → W'_2
  71. Mirror(W', f_1) → W''
  72. Mirror(Q, f_1) → Q'_1
  73. Polygon(W'_2, W'', F', Q'_1) → c1', w'_2, w'', f', q'_1
  74. Polygon(J, K_1, J') → t1, j', j_2, l_2
  75. Polygon(W'_1, J_1, G_1) → t2, m_2, w'_1, n_2
  76. Intersect(a, m_1) → L_1
  77. Mirror(L_1, f_1) → M_1
  78. Polygon(Q, L_1, M_1, Q') → c3, q_4, p_2, r_2, s_2
  79. Polygon(B, C, D, J) → c4, b_2, c_3, d_3, j_3
  80. Polygon(F, K, H, A) → c5, f_5, k_3, h_3, a_2
  81. Mirror(D, f_1) → D'
  82. Mirror(D, f_1) → D'_1
  83. Mirror(B, f_1) → B'_2
  84. Mirror(C, f_1) → C'_2
  85. Mirror(D, f_1) → D'_2
  86. Mirror(J, f_1) → J'_3
  87. Polygon(B'_2, C'_2, D'_2, J'_3) → c4', b'_2, c'_2, d'_2, j'_3
  88. Mirror(F, f_1) → F'_1
  89. Mirror(H, f_1) → H'_1
  90. Mirror(H, f_1) → H'_2
  91. Mirror(H, f_1) → H'_3
  92. Mirror(F, f_1) → F'_2
  93. Mirror(F, f_1) → F'_3
  94. Mirror(K, f_1) → K'_3
  95. Mirror(H, f_1) → H'_4
  96. Mirror(A, f_1) → A'_2
  97. Polygon(F'_3, K'_3, H'_4, A'_2) → c5', f'_3, k'_3, h'_4, a'_2
  98. Polygon(F', A'_2, B'_2, J') → c2, i_2, t_2, g_3, i_3
  99. Mirror(A'_2, f_1) → N_1
  100. Mirror(B'_2, f_1) → O_1
  101. Mirror(J', f_1) → J''
  102. Polygon(F'', N_1, O_1, J'') → c2', f'', l_3, o_1, j''
  103. Mirror(H_1, f_1) → P_1
  104. Intersect(h_1, r_3) → Q_1
  105. Vector(H, Q_1) → u_1
  106. Mirror(W, f_1) → W'_3
  107. Mirror(Q, f_1) → Q'_2
  108. Mirror(W', f_1) → W''_1
  109. Mirror(H_1, f_1) → U_1
  110. Mirror(F'', f_1) → F'''
  111. Mirror(K, f_1) → K'
  112. Mirror(A, f_1) → A'
  113. Mirror(B, f_1) → B'
  114. CurveCartesian(((1 - t)^(2) * F'') + (((2 * (1 - t)) * t) * B_2) + (t^(2) * W), t, 0, 1) → d_1
  115. Mirror(d_1, f_1) → t_1
  116. CurveCartesian(((1 - t)^(2) * W) + (((2 * (1 - t)) * t) * A_2) + (t^(2) * Q), t, 0, 1) → q_1
  117. Mirror(q_1, f_1) → v_1
  118. CurveCartesian(((1 - t)^(2) * W'_1) + (((2 * (1 - t)) * t) * W_1) + (t^(2) * J_1), t, 0, 1) → s_1
  119. Intersect(n, r) → Z_1

AI 绘图提示语参考

绘制Carrefour标志,使用贝塞尔曲线和几何变换。首先绘制多边形,然后通过镜像、旋转和中点构造关键点和曲线。最后,利用线段的中垂线和交点确定标志的各个部分。
以上提示语为根据原始绘图命令整理而来,仅供参考。