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CORNER-SHOP标志

CORNER-SHOP标志
几何画板及绘图内容加载中，请稍等……
2020-02-07 01:02
多边形向量变换
该范例演示了如何使用GeoGebra绘制CORNER-SHOP标志。涉及的核心数学概念包括向量、反射、多边形和圆。通过使用LineBisector, Vector, OrthogonalVector, Midpoint等命令，可以构造标志的各个部分。适合初中及以上学生学习几何作图。

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(B, u, xOyPlane) → g
  6. Line(A, B) → s
  7. OrthogonalLine(A, s) → b
  8. OrthogonalLine(A_1, b) → r
  9. Intersect(g, r) → C
  10. OrthogonalLine(J, m) → i
  11. Polygon(A_1, C, B, A) → q1, a_1, c, b_1, a_2
  12. Intersect(g, i) → F_3
  13. Intersect(m, i) → D
  14. OrthogonalLine(F, b) → f
  15. Mirror(f, i) → f'
  16. OrthogonalLine(G, f') → h
  17. Mirror(h, m) → h'
  18. Intersect(h, f') → E
  19. Mirror(M, m) → M'
  20. OrthogonalLine(M', i) → j
  21. Mirror(N, m) → N'
  22. Mirror(L, m) → L'
  23. Mirror(K, m) → K'
  24. OrthogonalLine(L', i) → k
  25. OrthogonalLine(O, i) → l
  26. Line(P, Q) → n
  27. OrthogonalLine(Q, n) → p
  28. OrthogonalLine(R, h) → q
  29. Intersect(p, q) → S
  30. OrthogonalLine(P, n) → t
  31. OrthogonalLine(S, p) → a
  32. OrthogonalLine(T, b) → d
  33. OrthogonalLine(N, q) → e
  34. OrthogonalLine(M, i) → f_1
  35. OrthogonalLine(L, i) → g_1
  36. OrthogonalLine(K, i) → h_1
  37. Intersect(t, a) → U
  38. Mirror(H, m) → H'
  39. Mirror(I, m) → I'
  40. Polygon(H, H', I', I) → q2, h_2, i_1, i', i_2
  41. Intersect(e, d) → V
  42. Intersect(f_1, f) → W
  43. Intersect(f_1, d) → Z
  44. Intersect(g_1, f) → B_1
  45. Intersect(h_1, f) → C_1
  46. Mirror(C_1, m) → D_1
  47. CircleArc(Z, V, W) → c_1
  48. Polygon(N, M, W, V) → q3, n_1, m_1, w, v_1
  49. Polygon(L, K, C_1, B_1) → q4, l_1, k_1, j_1, p_1
  50. Mirror(N, m) → N'_1
  51. Mirror(M, m) → M'_1
  52. Mirror(W, m) → W'
  53. Mirror(V, m) → V'
  54. Polygon(N'_1, M'_1, W', V') → q3', n'_1, m'_1, w', v'
  55. Mirror(L, m) → L'_1
  56. Mirror(K, m) → K'_1
  57. Mirror(C_1, m) → E_1
  58. Mirror(B_1, m) → F_1
  59. Polygon(L'_1, K'_1, E_1, F_1) → q4', l'_1, k'_1, e_1, q_1
  60. Mirror(c_1, m) → d_1
  61. Polygon(P, Q, S, U) → q5, p_2, q_2, s_1, u_1
  62. Semicircle(S, U) → r_1
  63. Intersect(n, j) → G_1
  64. OrthogonalLine(G_1, n) → t_1
  65. LineBisector(P, Q) → f_2
  66. Mirror(t_1, f_2) → g_2
  67. Intersect(t_1, a) → H_1
  68. Intersect(g_2, a) → I_1
  69. Polygon(H_1, S, Q, G_1) → q6, j_2, s_2, q_3, k_2
  70. Mirror(H_1, f_2) → J_1
  71. Mirror(S, f_2) → S'
  72. Mirror(Q, f_2) → Q'
  73. Mirror(G_1, f_2) → K_1
  74. Polygon(J_1, S', Q', K_1) → q6', l_2, s', q', m_2
  75. Semicircle(H_1, I_1) → c_2
  76. Polygon(M, L, B_1, W) → q7, m_3, l_3, n_2, w_1
  77. Mirror(M, m) → M'_2
  78. Mirror(L, m) → L'_2
  79. Mirror(B_1, m) → L_1
  80. Mirror(W, m) → W'_1
  81. Polygon(M'_2, L'_2, L_1, W'_1) → q7', m'_2, l'_2, r_2, w'_1
  82. Polygon(K, K', D_1, C_1) → q8, k_3, k', t_2, b_2