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Logo A-STYLE 几何构造

Logo A-STYLE 几何构造
几何画板及绘图内容加载中，请稍等……
2019-12-20 04:35
圆向量几何作图
①本范例演示Logo A-STYLE的几何构造过程；②涉及核心数学概念包括二维向量、圆、旋转、相似变换、几何作图、立方体、中点、中位线、等边三角形；③作图要点：使用了Vector（向量）、OrthogonalVector（正交向量）、Line（直线）、Mirror（镜像）、Midpoint（中点）、LineBisector（角平分线）、OrthogonalLine（正交线）、Intersect（交点）、Polygon（多边形）、Circle（圆）、Translate（平移）、CircleArc（圆弧）等GeoGebra命令；④适合高中数学教学和几何作图学习。

GeoGebra 命令及参数

  1. Vector(A, B) → u
  2. OrthogonalVector(u) → v
  3. Line(C, B) → h
  4. Mirror(H, h) → H'
  5. Midpoint(C, A) → J
  6. LineBisector(A, C) → d
  7. OrthogonalLine(K, d) → i
  8. Intersect(i, h) → H_1
  9. Midpoint(H_1, C) → M_1
  10. LineBisector(A, B) → m
  11. Intersect(m, d) → E
  12. Line(A, B) → s
  13. OrthogonalLine(A, s) → b
  14. OrthogonalLine(C, v, xOyPlane) → f
  15. Intersect(f, m) → U
  16. OrthogonalLine(B, u, xOyPlane) → g
  17. Intersect(g, f) → D
  18. Polygon(A, B, D, C) → q11, a_3, b_2, d_2, c_3
  19. Intersect(m, d) → I
  20. Intersect(i, s) → G
  21. OrthogonalLine(L, d) → j
  22. OrthogonalLine(M, d) → k
  23. OrthogonalLine(R, b) → l
  24. OrthogonalLine(S, b) → p
  25. OrthogonalLine(T, b) → t
  26. OrthogonalLine(V, b) → a
  27. OrthogonalLine(O, m) → c
  28. OrthogonalLine(W, m) → e
  29. Intersect(j, p) → F
  30. Intersect(k, l) → Z
  31. OrthogonalLine(N, b) → n
  32. Intersect(h, n) → Q
  33. Mirror(Q, m) → Q'
  34. Line(P, F) → q
  35. Polygon(P, O, W, Z, R, S, F) → poly1, p_1, o_1, w, z_1, r, s_1, f_1
  36. Mirror(P, m) → P'
  37. Mirror(O, m) → O'
  38. Mirror(W, m) → W'
  39. Mirror(Z, m) → Z'
  40. Mirror(R, m) → R'
  41. Mirror(S, m) → S'
  42. Mirror(F, m) → F'
  43. Polygon(P', O', W', Z', R', S', F') → poly1', p', o', w', z', r', s', f'
  44. Intersect(a, w) → A_1
  45. Intersect(a, w') → B_1
  46. Intersect(t, poly1') → C_1, D_1
  47. Intersect(t, w) → E_1
  48. Polygon(A_1, B_1, D_1, E_1) → q1, a_1, b_1, d_1, e_1
  49. Circle(F_1, G_1) → c_1
  50. Line(F_1, q) → g_1
  51. Vector(F, P) → u_1
  52. Translate(c_1, Vector[(0.56 * u_1)]) → h_1
  53. CircleArc(M_1, H', H) → k_1
  54. Mirror(k_1, m) → q_1
  55. Mirror(k_1, d) → r_1
  56. Mirror(r_1, m) → t_1
  57. Polygon(Q', Q, 4) → poly2, i_1, j_1, l_1, m_1, I_1, J_1
  58. Mirror(H, d) → H'_1
  59. Mirror(H', d) → H''
  60. Mirror(H, m) → H'_2
  61. Mirror(H', m) → H''_1
  62. Mirror(H''_1, d) → K_1
  63. Mirror(H'_2, d) → L_1
  64. Polygon(H, H', H''_1, H'_2, L_1, K_1, H'', H'_1) → poly3, h_2, h', h''_1, h'_2, n_1, f_2, h'', h'_1