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几何作图：单位五构造

几何作图：单位五构造
几何画板及绘图内容加载中，请稍等……
2017-01-25 02:05
多边形角几何作图
本范例演示了几何作图中的构造过程。核心数学概念包括线段、圆、交点、射线、多边形等。通过使用GeoGebra命令如Segment、Circle、Intersect等，可以构造出复杂的几何图形。适合初中及以上学生学习几何作图技巧。

GeoGebra 命令及参数

  1. Segment(H, I) → h
  2. Segment(Q, R) → m
  3. Segment(R, S) → n
  4. Circle(R, h) → s
  5. Intersect(s, m, 1) → T
  6. Intersect(s, n, 1) → U
  7. Circle(T, h) → t
  8. Circle(U, h) → c_1
  9. Intersect(t, c_1, 1) → V
  10. Ray(R, V) → a
  11. Polygon(W, Z, A_1) → poly2, a_1, w, z_1
  12. Segment(B_1, C_1) → b
  13. Circle(W, b) → d_1
  14. Circle(Z, b) → e_1
  15. Circle(A_1, b) → h_1
  16. Intersect(e_1, a_1, 1) → D_1
  17. Intersect(e_1, w, 1) → E_1
  18. Intersect(d_1, a_1, 1) → F_1
  19. Intersect(d_1, z_1) → G_1,
  20. Intersect(h_1, z_1, 1) → H_1
  21. Intersect(h_1, w, 1) → I_1
  22. Circle(E_1, b) → k_1
  23. Circle(D_1, b) → p_1
  24. Circle(F_1, b) → q_1
  25. Circle(G_1, b) → r_1
  26. Circle(I_1, b) → s_1
  27. Circle(H_1, b) → t_1
  28. Intersect(k_1, p_1, 2) → J_1
  29. Intersect(q_1, r_1, 2) → K_1
  30. Intersect(s_1, t_1, 1) → L_1
  31. Ray(A_1, L_1) → i_1
  32. Ray(Z, J_1) → j_1
  33. Ray(W, K_1) → l_1
  34. Intersect(i_1, j_1) → Incenter
  35. Point(a_1) → N_1
  36. OrthogonalLine(Incenter, w) → m_1
  37. Intersect(m_1, w) → O_1
  38. Circle(Incenter, O_1) → c_2
  39. Segment(P_1, Q_1) → n_1
  40. Circle(P_1, Q_1) → d_2
  41. Circle(Q_1, P_1) → e_2
  42. Intersect(e_2, d_2) → R_1, S_1, ,
  43. Intersect(e_2, d_2, 2) → T_1
  44. Line(R_1, S_1) → b_1
  45. Segment(R_1, T_1) → f_2
  46. Polygon(U_1, V_1, W_1) → poly3, w_1, u_1, v_1
  47. Circle(W_1, U_1) → g_2
  48. Circle(U_1, W_1) → h_2
  49. Circle(W_1, V_1) → k_2
  50. Circle(V_1, W_1) → p_2
  51. Intersect(k_2, p_2, 1) → Z_1
  52. Intersect(k_2, p_2, 2) → A_2
  53. Intersect(g_2, h_2, 2) → B_2
  54. Intersect(g_2, h_2, 1) → C_2
  55. Circle(U_1, V_1) → q_2
  56. Circle(V_1, U_1) → r_2
  57. Intersect(q_2, r_2, 1) → D_2
  58. Intersect(q_2, r_2, 2) → E_2
  59. Angle(n, a) → β
  60. Angle(V, R, Q) → α
  61. Intersect(n_1, f_2) → A
  62. Angle(P_1, A, R_1) → γ
  63. Line(B_2, C_2) → f
  64. Line(E_2, D_2) → g
  65. Line(Z_1, A_2) → i
  66. Intersect(f, g) → Circumcenter
  67. Circle(Circumcenter, U_1) → c
  68. Polygon(C, D, E) → poly1, e, c_3, d
  69. Midpoint(c_3) → F
  70. Midpoint(e) → G
  71. Midpoint(d) → J
  72. Line(C, F) → j
  73. Line(D, J) → k
  74. Line(E, G) → l
  75. Intersect(j, k) → Centroid
  76. Segment(Centroid, C) → p
  77. Segment(D, Centroid) → q
  78. Segment(Centroid, E) → r
  79. Polygon(D, Centroid, E) → poly4, e_3, d_3, k_3
  80. Polygon(C, Centroid, D) → poly5, d_4, c_4, k_4
  81. Polygon(C, E, Centroid) → poly6, k_5, c_5, e_4
  82. PointIn(poly5) → Pointpoly5_1
  83. PointIn(poly4) → Pointpoly4
  84. PointIn(poly6) → Pointpoly6
  85. PointIn(poly5) → Pointpoly5
  86. Polygon(L, M, N) → poly7, n_2, l_2, m_2
  87. Line(L, N) → f_1
  88. Line(N, M) → g_1
  89. Line(L, M) → i_2
  90. OrthogonalLine(N, i_2) → j_2
  91. OrthogonalLine(M, f_1) → s_2
  92. OrthogonalLine(L, g_1) → t_2
  93. Intersect(j_2, s_2) → Orthocenter
  94. Intersect(f_1, s_2) → P
  95. Intersect(g_1, t_2) → F_2
  96. Intersect(i_2, j_2) → G_2