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三维反对称环

三维反对称环
几何画板及绘图内容加载中，请稍等……
2015-06-10 03:20
解析几何立体几何几何作图
该范例展示了三维空间中的反对称环。涉及的核心数学概念包括椭圆、立方体和线性函数。通过使用GeoGebra命令如Point、Ellipse、Intersect、Rotate等，可以构造出复杂的三维几何图形。适合高中及以上学生或教师用于教学和研究。

GeoGebra 命令及参数

  1. Point(xAxis) → C
  2. Ellipse(A, B, C) → c
  3. Intersect(xAxis, yAxis) → D
  4. Circle(D, C) → d
  5. Rotate(C, ε, A) → C'_2
  6. Angle(C, A, C'_2) → ζ
  7. Line(D, C'_2) → f
  8. Vector(D, A) → u
  9. Translate(f, u) → f'
  10. Circle(A, ((2 * ne) * h)) → g
  11. Intersect(g, f') → F, G
  12. Midpoint(A, G) → H
  13. Circle(H, h) → k
  14. Intersect(k, f') → I, J
  15. Ellipse(A, G, I) → p
  16. Point(c) → K
  17. Point(c) → L
  18. Point(c) → M
  19. Point(c) → N
  20. Point(c) → O
  21. Point(c) → P
  22. Point(c) → Q
  23. Point(c) → R
  24. Point(d) → S
  25. Point(d) → T
  26. Point(d) → U
  27. Point(d) → V
  28. Point(d) → W
  29. Line(A, W) → i
  30. Point(i) → Z
  31. Ray(A, Z) → j
  32. OrthogonalLine(A, j) → l
  33. Intersect(d, j) → C_1,
  34. Circle(H, h) → q
  35. Rotate(Z, η, A) → Z'
  36. Angle(Z, A, Z') → θ
  37. Line(A, Z') → m
  38. Intersect(d, xAxis, 2) → I_1
  39. Rotate(I_1, α + (((0.0167 * 180) * ° / 3.141) * sin(α)) + ((0.5 * (((0.0167 * 180) * ° / 3.141))^(2)) * sin((2 * α))), D) → E
  40. Angle(I_1, D, E) → β
  41. Rotate(J, λ + (((ne * 180) * ° / 3.141) * sin(λ)) + ((0.5 * (((ne * 180) * ° / 3.141))^(2)) * sin((2 * λ))), H) → J'
  42. Angle(J, H, J') → γ
  43. Ray(H, J') → b
  44. Intersect(p, b) → D_1,
  45. Segment(E, D_1) → n
  46. Ray(A, E) → r
  47. Rotate(p, δ, m) → p'
  48. Rotate(D_1, δ, m) → R_1
  49. Rotate(I, δ, m) → I'
  50. Rotate(J, δ, m) → J'_1
  51. Rotate(H, δ, m) → H'
  52. Rotate(G, δ, m) → G'
  53. Line(J'_1, I') → s
  54. Segment(E, R_1) → t
  55. Vector(E, D) → w
  56. Translate(E, w) → E'
  57. Translate(R_1, w) → S_1
  58. Segment(E', S_1) → t'
  59. Intersect(d, xAxis, 2) → A_1
  60. Intersect(d, xAxis, 1) → B_1
  61. Translate(E, w) → E'_1
  62. Translate(D_1, w) → E_1
  63. Segment(E'_1, E_1) → n'
  64. Sphere(D, h) → c_1
  65. Ray(D, S_1) → d_1
  66. Intersect(d_1, c_1) → F_1, G_1
  67. Textfield(v) → Textfeld1
  68. Plane(N, O, P) → l_1
  69. Rotate(l_1, -23.4*°, j) → m_1
  70. IntersectPath(m_1, c_1) → p_1
  71. Textfield(h) → Textfeld2