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风筝形演示

风筝形演示
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2017-09-13 06:09
多边形函数解析几何几何作图
①本范例演示风筝形的几何构造及其相关性质；②涉及的核心数学概念包括多边形、对称性、解析几何、函数图像等；③作图要点——从下方『构造摘要』提炼用到了Line（线）、OrthogonalLine（垂线）、Circle（圆）、Intersect（交点）、Segment（线段）、Point（点）等GeoGebra命令/对象；④适合高中数学教学或几何作图学习。

GeoGebra 命令及参数

  1. Line(A, B) → f
  2. OrthogonalLine(B, f) → g
  3. Circle(B, C) → c
  4. Intersect(c, g, 1) → D
  5. Segment(A, D) → h
  6. Intersect(c, g, 2) → E
  7. Segment(A, E) → i
  8. Intersect(c, f, 2) → F
  9. Segment(D, F) → j
  10. Segment(F, E) → k
  11. Line(G, H) → l
  12. OrthogonalLine(G, l) → m
  13. Circle(G, I) → d
  14. Point(l) → J
  15. Intersect(d, m, 2) → K
  16. Intersect(d, l, 1) → L
  17. Intersect(d, m, 1) → M
  18. Segment(J, K) → n
  19. Segment(L, K) → p
  20. Segment(L, M) → q
  21. Segment(J, M) → r
  22. Line(N, O) → s
  23. Point(s) → P
  24. OrthogonalLine(P, s) → t
  25. Point(t) → Q
  26. Circle(P, Q) → e
  27. Segment(N, Q) → a
  28. Intersect(e, t, 2) → R
  29. Segment(N, R) → b
  30. Segment(R, O) → f_1
  31. Segment(O, Q) → g_1
  32. Line(S, T) → h_1
  33. Point(h_1) → V
  34. OrthogonalLine(V, h_1) → i_1
  35. Point(i_1) → W
  36. Circle(V, W) → c_1
  37. Segment(T, W) → j_1
  38. Intersect(c_1, i_1, 2) → Z
  39. Segment(T, Z) → k_1
  40. Segment(S, W) → l_1
  41. Segment(S, Z) → m_1
  42. Line(A_1, B_1) → n_1
  43. Point(n_1) → C_1
  44. OrthogonalLine(C_1, n_1) → p_1
  45. OrthogonalLine(B_1, n_1) → q_1
  46. Point(q_1) → D_1
  47. Circle(B_1, D_1) → d_1
  48. Segment(D_1, A_1) → r_1
  49. Point(d_1) → E_1
  50. Segment(A_1, E_1) → s_1
  51. Segment(E_1, C_1) → t_1
  52. Segment(C_1, D_1) → a_1