NALINI标志

NALINI标志
几何画板及绘图内容加载中,请稍等……
2019-10-10 23:59
这个GeoGebra范例展示了NALINI标志的绘制过程。涉及的核心数学概念包括角度、圆和几何图形。通过使用GeoGebra命令如Line(直线)、Vector(向量)、Midpoint(中点)等,可以构造出标志的各个部分。适合初中及以上学生学习几何作图。

GeoGebra 命令及参数

  1. Line(A, B) → m
  2. Vector(A, B) → u
  3. OrthogonalVector(u) → v
  4. Line(F, m) → h
  5. Midpoint(E, B) → D
  6. Mirror(h, D) → h'
  7. Line(D, h') → j
  8. Line(E, m) → f
  9. OrthogonalLine(B, f) → g
  10. Intersect(g, f) → C
  11. OrthogonalLine(G, m) → i
  12. Mirror(i, D) → i'
  13. Intersect(i, h') → I
  14. Polygon(E, C, B, A) → q2, e, c, b, a
  15. OrthogonalLine(D, j) → k
  16. Intersect(h, i) → P
  17. Mirror(Q, j) → Q'
  18. Line(R, j) → p
  19. Mirror(p, j) → p'
  20. OrthogonalLine(Q', p') → q
  21. Intersect(q, p) → S
  22. Mirror(S, j) → S'
  23. Intersect(i, p') → K
  24. Intersect(j, q) → J
  25. Circle(D, J) → d
  26. Intersect(k, h) → M
  27. Intersect(i', j) → N
  28. LineBisector(L, H) → l
  29. LineBisector(L, O) → n
  30. LineBisector(O, H) → r
  31. Line(W, m) → f_1
  32. Intersect(f_1, r) → Z
  33. CircleArc(Z, O, H) → t
  34. Intersect(n, i') → U
  35. CircleArc(U, L, O) → c_1
  36. OrthogonalLine(V, f) → g_1
  37. Intersect(g_1, l) → A_1
  38. CircleArc(A_1, L, H) → s
  39. Intersect(s, d) → T, B_1, ,
  40. Intersect(c_1, d) → C_1, D_1, ,
  41. Intersect(d, t) → E_1, F_1, ,
  42. Polygon(B_1, D_1, L) → t1, l_1, b_1, d_1
  43. Polygon(E_1, C_1, O) → t2, o_1, e_1, h_1
  44. Polygon(F_1, H, T) → t3, t_1, i_1, h_2
  45. Polygon(B_1, D_1, C_1, E_1, F_1, T) → poly1, j_1, k_1, m_1, n_1, p_1, t_2
  46. CircleArc(Z, E_1, F_1) → q_1
  47. CircleArc(U, D_1, C_1) → r_1
  48. Segment(D_1, C_1) → s_1
  49. Segment(F_1, E_1) → a_1