Rioja创新系统标志

Rioja创新系统标志
几何画板及绘图内容加载中,请稍等……
2020-01-22 00:53
这个GeoGebra范例展示了Rioja创新系统标志的几何构造。涉及的核心数学概念包括向量、相似变换和多边形。通过使用LineBisector、Vector、Polygon等GeoGebra命令,可以构造出标志的各个部分。适合用于高中几何教学,帮助学生理解几何作图和变换的概念。

GeoGebra 命令及参数

  1. LineBisector(A, B) → m
  2. Vector(A, B) → u
  3. OrthogonalVector(u) → v
  4. Midpoint(A_1, A) → J
  5. OrthogonalLine(J, m) → i
  6. OrthogonalLine(K, i) → l
  7. OrthogonalLine(F, l) → n
  8. Intersect(m, n) → H
  9. Line(A, B) → s
  10. OrthogonalLine(A, s) → b
  11. OrthogonalLine(G, l) → p
  12. Intersect(l, n) → Q
  13. Line(D, b) → f
  14. Intersect(f, i) → H_1
  15. OrthogonalLine(B, u, xOyPlane) → g
  16. Mirror(J, m) → J'
  17. OrthogonalLine(R, s) → j_4
  18. OrthogonalLine(L, i) → t
  19. OrthogonalLine(A_1, b) → r
  20. Intersect(g, r) → C
  21. Polygon(A_1, C, B, A) → q1, a_1, c, b_1, a_2
  22. Intersect(j_4, i) → P
  23. Midpoint(P, R) → S
  24. Mirror(H_1, i) → Z_1
  25. OrthogonalLine(V_1, s) → h
  26. OrthogonalLine(E, i) → j
  27. OrthogonalLine(I, i) → k
  28. OrthogonalLine(N, i) → q
  29. OrthogonalLine(O, n) → a
  30. OrthogonalLine(T, s) → d
  31. OrthogonalLine(M, n) → e
  32. OrthogonalLine(U, i) → f_1
  33. OrthogonalLine(V, i) → g_1
  34. OrthogonalLine(W, n) → h_1
  35. Intersect(e, r) → Z
  36. Intersect(f_1, r) → B_1
  37. Polygon(Z, B_1, 4) → poly1, i_1, j_1, k_1, l_1, C_1, D_1
  38. Mirror(poly1, r) → poly1'
  39. Line(E_1, r) → m_1
  40. Line(F_1, r) → n_1
  41. Line(G_1, r) → p_1
  42. Line(I_1, r) → q_1
  43. Line(J_1, r) → r_1
  44. Line(K_1, r) → s_1
  45. Line(K_1, m_1) → t_1
  46. Line(K_1, m_1) → c_1
  47. OrthogonalLine(L_1, i) → d_1
  48. Intersect(l, s_1) → M_1
  49. Intersect(j_4, s_1) → N_1
  50. Polygon(M_1, N_1, R, Q) → q2, e_1, f_2, r_2, q_2
  51. Intersect(t, r_1) → O_1
  52. Intersect(f, r_1) → P_1
  53. Polygon(O_1, P_1, D, L) → q3, o_1, g_2, d_2, l_2
  54. Intersect(h, q_1) → Q_1
  55. Intersect(j, q_1) → R_1
  56. Polygon(Q_1, R_1, E, V_1) → q4, h_2, i_2, j_2, k_2
  57. Intersect(k, p_1) → S_1
  58. Intersect(q, p_1) → T_1
  59. Polygon(S_1, T_1, N, I) → q5, m_2, n_2, p_2, s_2
  60. Intersect(a, n_1) → U_1
  61. Intersect(d, n_1) → W_1
  62. Polygon(U_1, W_1, T, O) → q6, t_2, b_2, c_2, e_2
  63. Intersect(e, m_1) → A_2
  64. Intersect(m_1, f_1) → B_2
  65. Intersect(g_1, m_1) → C_2
  66. Intersect(h_1, m_1) → D_2
  67. Polygon(A_2, B_2, U, M) → q7, f_3, g_3, h_3, i_3
  68. Polygon(C_2, D_2, W, V) → q8, j_3, k_3, l_3, m_3
  69. Intersect(d_1, m_1) → E_2
  70. Intersect(h_1, r_1) → G_2
  71. Intersect(d_1, q_1) → F_2
  72. CurveCartesian(((1 - t)^(3) * H_2) + (((3 * (1 - t)^(2)) * t) * G_2) + (((3 * (1 - t)) * t^(2)) * K_2) + (t^(3) * F_2), t, 0, 1) → u_1
  73. Intersect(h_1, n_1) → L_2
  74. CurveCartesian(((1 - t)^(3) * G_2) + (((3 * (1 - t)^(2)) * t) * L_2) + (((3 * (1 - t)) * t^(2)) * I_2) + (t^(3) * E_2), t, 0, 1) → w
  75. Polygon(G_2, H_2, J_2, E_2) → q9, n_3, p_3, q_3, r_3
  76. LineBisector(U, V) → s_3
  77. Mirror(m, s_3) → m'
  78. Line(M_2, i) → a_3
  79. Mirror(a_3, i) → t_3
  80. Intersect(m', a_3) → N_2
  81. Intersect(m, a_3) → O_2
  82. Intersect(m, t_3) → P_2
  83. Intersect(m', t_3) → Q_2
  84. Intersect(s_3, a_3) → R_2
  85. Intersect(s_3, t_3) → T_2
  86. OrthogonalLine(S_2, a_3) → b_3
  87. Intersect(b_3, t_3) → U_2
  88. Polygon(S_2, R_2, T_2, U_2) → q10, c_3, d_3, e_3, u_2
  89. Mirror(S_2, s_3) → V_2
  90. Mirror(R_2, s_3) → W_2
  91. Mirror(T_2, s_3) → Z_2
  92. Mirror(U_2, s_3) → A_3
  93. Polygon(V_2, W_2, Z_2, A_3) → q10', v_2, w_2, z_2, f_4
  94. Mirror(V_2, f_4) → B_3
  95. Intersect(m, i) → C_3
  96. OrthogonalLine(D_3, m') → g_4
  97. Intersect(m', g_4) → E_3
  98. Intersect(m', i) → F_3
  99. Polygon(E_3, D_3, C_3, F_3) → q11, h_4, i_4, k_4, l_4
  100. Mirror(E_3, i) → G_3
  101. Mirror(D_3, i) → H_3
  102. Mirror(C_3, i) → I_3
  103. Mirror(F_3, i) → J_3
  104. Polygon(G_3, H_3, I_3, J_3) → q11', m_4, n_4, p_4, q_4

AI 绘图提示语参考

绘制Rioja创新系统标志,首先通过点A和B画一条线的中垂线m,然后画向量u,接着画u的正交向量v,找到点J并画过J的m的正交线i,以此类推,逐步构造标志的各个部分,最终形成一个由多个正交线和中垂线构成的多边形。
以上提示语为根据原始绘图命令整理而来,仅供参考。