Giugiuc 抛物线

Giugiuc 抛物线
几何画板及绘图内容加载中,请稍等……
2016-08-20 06:22
该范例演示了 Giugiuc 抛物线的几何构造。核心数学概念包括抛物线、外接圆、矩形、相关点、平行四边形和等边三角形。通过使用 GeoGebra 命令如 Line、Parabola、Point、Tangent、Intersect、Polygon、Circle、Center、Segment、Angle、Distance、OrthogonalLine,可以构造出复杂的几何图形。适合高中数学教学和研究。

GeoGebra 命令及参数

  1. Line(A_4, B_4) → a_3
  2. Parabola(F, a_3) → c_3
  3. Point(c_3) → B_1
  4. Point(c_3) → A_1
  5. Point(c_3) → C_1
  6. Tangent(B_1, c_3) → b_3,
  7. Tangent(A_1, c_3) → d,
  8. Tangent(C_1, c_3) → e,
  9. Intersect(b_3, e) → A
  10. Intersect(d, e) → B
  11. Intersect(b_3, d) → C
  12. Polygon(C, A, B) → poligon1, i, g, h
  13. Circle(A, B_1, C_1) → f
  14. Circle(B, C_1, A_1) → k
  15. Center(f) → A_2
  16. Center(k) → B_2
  17. Circle(C, A_1, B_1) → p
  18. Center(p) → C_2
  19. Segment(C, B) → j
  20. Point(b_3) → D
  21. Segment(A, D) → l
  22. Point(e) → E
  23. Segment(A, E) → m
  24. Point(k) → G
  25. Segment(B_2, G) → n
  26. Point(p) → H_1
  27. Segment(C_2, H_1) → q
  28. Point(f) → I
  29. Segment(A_2, I) → r
  30. Polygon(A_2, C_2, B_2) → poligon2, b_2, a_2, c_2
  31. Angle(A_2, B_2, C_2) → α
  32. Distance(A_2, C_2) → distanceA2C2
  33. Distance(A, C) → distanceAC
  34. Distance(F, a_3) → distanceFa
  35. Distance(A, B) → distanceAB
  36. Distance(A_2, B_2) → distanceA2B2
  37. OrthogonalLine(C_1, m) → t
  38. OrthogonalLine(B_1, i) → a_1
  39. OrthogonalLine(A_1, h) → b_1
  40. Intersect(t, b_1) → B_3
  41. Intersect(a_1, t) → A_3
  42. Intersect(b_1, a_1) → C_3
  43. Distance(A_3, C_3) → distanceKL
  44. Distance(A_2, C_2) → o
  45. Distance(B_3, C_3) → distanceJL
  46. Distance(B_2, C_2) → distanceB2C2
  47. Distance(B, C) → distanceBC
  48. Distance(A, C) → u
  49. Distance(C_3, B_3) → distanceLJ
  50. Distance(A_3, C_3) → v
  51. Line(A, A_2) → c_1
  52. Line(C, C_2) → d_1
  53. Line(B, B_2) → e_1
  54. Polygon(C_3, A_3, B_3) → poly1, j_1, l_1, k_1
  55. Angle(h, b_1) → β
  56. Angle(l, a_1) → γ
  57. Angle(m, t) → δ
  58. Distance(C_2, C_3) → distanceC2C3
  59. Distance(C_2, C) → distanceC2C
  60. Distance(B, B_2) → distanceBB2
  61. Distance(B_2, B_3) → distanceB2B3
  62. Distance(A, F) → distanceAF
  63. Distance(F, A_3) → distanceFA3
  64. Segment(C, C_3) → f_1
  65. Segment(A_1, B_3) → a
  66. Segment(C_1, B_3) → c
  67. Segment(B, B_3) → i_1
  68. Segment(A, A_3) → m_1
  69. Segment(B_1, A_3) → b