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立体投影

立体投影
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2018-05-21 04:57
解析几何立体几何几何作图
这个范例演示了立体投影的概念。它涉及立体几何中的关键数学概念，如球面、平面和投影线。通过使用GeoGebra命令如Circle、Line、Sphere和Intersect，用户可以直观地理解立体投影的原理。适合高中或大学的立体几何课程。

GeoGebra 命令及参数

  1. Intersect(xAxis, yAxis) → A
  2. Circle(A, B) → c
  3. Point(c) → C
  4. Point(c) → D
  5. Line(C, D) → f
  6. Point(c) → E
  7. Line(E, A) → g
  8. Point(zAxis) → F
  9. Sphere(A, F) → a
  10. OrthogonalLine(F, xOyPlane) → h
  11. Circle(G, H, I) → d
  12. Circle(J, K, L) → e
  13. Intersect(e, d) → M, N, ,
  14. Point(e) → O
  15. Line(O, F) → i
  16. Intersect(i, a, 1) → P
  17. Line(J, F) → j
  18. Line(K, F) → k
  19. Line(L, F) → l
  20. Intersect(l, a) → T, U
  21. Intersect(k, a) → V, W
  22. Intersect(j, a) → Z, A_1
  23. Plane(V, Z, T) → b
  24. IntersectPath(b, a) → p
  25. Line(H, F) → m
  26. Line(G, F) → n
  27. Line(I, F) → q
  28. Intersect(n, a) → Q, R
  29. Intersect(q, a) → S, B_1
  30. Intersect(m, a) → C_1, D_1
  31. Plane(S, Q, C_1) → o
  32. IntersectPath(o, a) → r
  33. Line(N, F) → t
  34. Intersect(r, p, 2) → E_1
  35. Line(F, M) → f_1
  36. Intersect(r, p, 1) → F_1
  37. IntersectPath(o, b) → g_1
  38. Mirror(G_1, d) → H_1
  39. Mirror(H_1, e) → I_1
  40. Mirror(G_1, e) → J_1
  41. Circle(I_1, J_1, G_1) → c_1
  42. Mirror(K_1, d) → L_1
  43. Mirror(L_1, e) → M_1
  44. Mirror(K_1, e) → N_1
  45. Circle(K_1, L_1, M_1) → d_1
  46. Line(L_1, F) → h_1
  47. Line(M_1, F) → i_1
  48. Line(N_1, F) → j_1
  49. Line(H_1, F) → k_1
  50. Line(I_1, F) → l_1
  51. Line(J_1, F) → m_1
  52. Intersect(h_1, a, 1) → O_1
  53. Intersect(k_1, a, 1) → P_1
  54. Intersect(l_1, a, 1) → Q_1
  55. Intersect(m_1, a, 1) → R_1
  56. Plane(R_1, Q_1, P_1) → w_1
  57. IntersectPath(w_1, a) → e_1
  58. Intersect(i_1, a, 1) → S_1
  59. Intersect(j_1, a, 1) → T_1
  60. Plane(O_1, S_1, C_1) → a_1
  61. Plane(T_1, S_1, O_1) → b_1
  62. IntersectPath(b_1, a) → p_1
  63. Intersect(c_1, d_1) → U_1, V_1, ,
  64. Intersect(e_1, p_1) → W_1, Z_1, ,
  65. Line(W_1, Z_1) → n_1
  66. IntersectPath(b, o) → q_1
  67. LaTeX(V_1, true, true) → Text1
  68. Circle(O, V_1, U_1) → s_1
  69. Tangent(O, e) → f_2,
  70. Mirror(O, d) → O'
  71. LineBisector(O, O') → g_2
  72. Intersect(f_2, g_2) → B_2
  73. Circle(B_2, O) → c_2
  74. Mirror(O', e) → O''
  75. Line(F, O'') → h_2
  76. Line(F, O') → i_2
  77. Intersect(i_2, a, 2) → C_2
  78. Intersect(h_2, a, 2) → D_2
  79. Plane(P, D_2, C_2) → o_1
  80. IntersectPath(o_1, a) → r_1
  81. IntersectPath(b_1, o_1) → j_2
  82. IntersectPath(o_1, b_1) → k_2
  83. IntersectPath(b_1, o_1) → l_2
  84. IntersectPath(o_1, b_1) → m_2
  85. IntersectPath(o_1, b_1) → n_2
  86. IntersectPath(o_1, b_1) → p_2
  87. IntersectPath(o_1, a_1) → q_2
  88. Plane(Q_1, R_1, Q) → u_1
  89. IntersectPath(o_1, u_1) → r_2
  90. Line(F, K_1) → s_2
  91. Intersect(s_2, p_1, 1) → A_2
  92. Plane(T_1, A_2, O_1) → v_1
  93. IntersectPath(o_1, v_1) → t_2