阿拉贡电视台标志几何构造

阿拉贡电视台标志几何构造
几何画板及绘图内容加载中,请稍等……
2020-01-23 03:04
①本范例演示了如何通过几何构造绘制二维图形,特别是涉及圆、向量和角度的复杂图形;②核心数学概念包括二维向量、角度计算、圆的性质、几何作图等;③构造过程中使用了Line(直线)、OrthogonalLine(垂线)、Vector(向量)、OrthogonalVector(正交向量)、Midpoint(中点)、LineBisector(角平分线)、Mirror(镜像)、Intersect(交点)、CircleArc(圆弧)、Polygon(多边形)、CircleSector(扇形)等GeoGebra命令和对象;④适合高中及以上数学学习者,用于理解几何作图和空间关系。

GeoGebra 命令及参数

  1. Line(A, B) → s
  2. OrthogonalLine(A, s) → b
  3. Vector(A, B) → u
  4. OrthogonalVector(u) → v
  5. OrthogonalLine(A_1, b) → r
  6. Midpoint(A_1, A) → J
  7. OrthogonalLine(Q_1, b) → m_2
  8. LineBisector(A, B) → m
  9. OrthogonalLine(J, m) → i
  10. OrthogonalLine(K, i) → l
  11. Mirror(l, m) → l'
  12. Line(M, N) → q
  13. OrthogonalLine(B, u, xOyPlane) → g
  14. OrthogonalLine(F, l) → n
  15. Intersect(l, n) → Q
  16. Line(P_1, g) → g_2
  17. Line(E, I) → j
  18. OrthogonalLine(L, i) → t
  19. Intersect(t, i) → O
  20. Line(D, b) → f
  21. Intersect(g_2, i) → S
  22. Line(S, j) → k
  23. OrthogonalLine(R, s) → j_4
  24. Intersect(j_4, i) → P
  25. LineBisector(P, O) → n_1
  26. OrthogonalLine(M_1, b) → m_1
  27. Line(H, q) → a
  28. Line(V, i) → d
  29. Line(W, d) → e
  30. Intersect(q, e) → Z
  31. Intersect(j, j_4) → T
  32. LineBisector(T, Z) → i_1
  33. Intersect(i_1, r) → F_1
  34. CircleArc(F_1, T, Z) → e_1
  35. OrthogonalLine(G, l) → p
  36. Mirror(J, m) → J'
  37. Intersect(g, r) → C
  38. Polygon(A_1, C, B, A) → q1, a_1, c, b_1, a_2
  39. OrthogonalLine(V_1, s) → h
  40. Line(B_1, e) → f_1
  41. Intersect(e_1, a) → C_1,
  42. LineBisector(C_1, Z) → g_1
  43. Intersect(k, e_1) → U,
  44. LineBisector(T, U, xOyPlane) → h_1
  45. Intersect(k, r) → D_1
  46. Intersect(r, g_1) → E_1
  47. CircleArc(E_1, C_1, Z) → d_1
  48. Intersect(l, j) → G_1
  49. Intersect(q, m_2) → H_1
  50. LineBisector(G_1, H_1) → j_1
  51. Intersect(r, j_1) → I_1
  52. CircleArc(I_1, G_1, H_1) → k_1
  53. Intersect(a, d) → K_1
  54. Intersect(k, j_4) → J_1
  55. LineBisector(J_1, K_1, xOyPlane) → l_1
  56. Intersect(l_1, a_1) → L_1
  57. CircleArc(L_1, J_1, K_1, xOyPlane) → p_1
  58. Intersect(k, a) → N_1
  59. Polygon(T, E, D_1, U) → q2, q_1, t_1, h_2, i_2
  60. Intersect(a, r) → O_1
  61. Polygon(M, D_1, N_1, C_1, Z) → poly1, r_1, s_1, f_2, j_2, k_2
  62. CircleArc(E_1, T, U, xOyPlane) → c_1
  63. Intersect(b, k) → R_1
  64. Polygon(R_1, J_1, G_1, I) → q3, l_2, n_2, p_2, i_3
  65. Polygon(H, N, H_1, K_1) → q4, h_3, n_3, q_2, r_2
  66. Polygon(J_1, K_1, H_1, G_1) → q5, s_2, t_2, b_2, c_2
  67. Polygon(U, N_1, C_1) → t1, d_2, u_1, e_2
  68. Intersect(l, s) → S_1
  69. CircleSector(Q, F, S_1) → c_3
  70. Mirror(c_3, m) → d_3
  71. Mirror(d_3, i) → e_3
  72. Mirror(c_3, i) → f_3
  73. Polygon(F, Q, S_1, A) → q6, f_4, q_3, g_3, a_3
  74. Mirror(F, i) → F'
  75. Mirror(Q, i) → Q'
  76. Mirror(S_1, i) → T_1
  77. Mirror(A, i) → A'
  78. Polygon(F', Q', T_1, A') → q6', f', q', j_3, a'
  79. Mirror(F, m) → F'_1
  80. Mirror(Q, m) → Q'_1
  81. Mirror(S_1, m) → U_1
  82. Mirror(A, m) → A'_1
  83. Polygon(F'_1, Q'_1, U_1, A'_1) → q6'_1, f'_1, q'_1, k_3, a'_1
  84. Mirror(F'_1, i) → W_1
  85. Mirror(Q'_1, i) → Z_1
  86. Mirror(U_1, i) → A_2
  87. Mirror(A'_1, i) → B_2
  88. Polygon(W_1, Z_1, A_2, B_2) → q7, w_1, z_1, l_3, m_3
  89. Mirror(F', a') → F''
  90. Mirror(A', a') → A''

AI 绘图提示语参考

画一个复杂的二维图形,包含多个圆、向量和角度。首先绘制一条线段,然后画出这条线的垂线。接着,基于这条线段创建一个向量,并找到其垂直向量。利用这些元素构建多个几何对象,如中点、角平分线、镜像反射和圆弧。最后,将这些几何对象组合成一个多边形,展示出复杂的几何构造和空间关系。
以上提示语为根据原始绘图命令整理而来,仅供参考。