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城堡蒙特中心建筑与塔

城堡蒙特中心建筑与塔
几何画板及绘图内容加载中，请稍等……
2019-12-26 17:24
多边形立体几何几何作图
该范例展示了城堡蒙特中心建筑与塔的几何构造。涉及的核心数学概念包括多边形、等边三角形和几何作图。通过使用Polygon、Distance、Segment等GeoGebra命令，可以构造出精确的几何图形。适合初中及以上学生学习几何作图和立体几何。

GeoGebra 命令及参数

  1. Polygon(A, B, 8) → poly1, f, D, E, F, G, H, g, h, i, j, k, l, m, C
  2. Distance(C, D) → CD
  3. Segment(F, B) → n
  4. Segment(E, A) → p
  5. Intersect(n, p) → O
  6. Segment(O, A) → q
  7. Segment(O, B) → r
  8. Circle(O, q / phi) → c
  9. Intersect(c, q) → I,
  10. Intersect(c, r) → J,
  11. Segment(I, J) → s
  12. Polygon(I, J, 8) → poly2, t, L, M, N, P, Q, b, d, e, f_1, g_1, h_1, i_1, K
  13. Line(O, f) → k_1
  14. OrthogonalLine(O, j) → l_1
  15. Line(I, J) → j_1
  16. Line(H, G) → m_1
  17. Intersect(j_1, m_1) → R
  18. Mirror(R, k_1) → R'
  19. Line(N, M) → n_1
  20. Mirror(m_1, l_1) → p_1
  21. Intersect(n_1, p_1) → S
  22. Intersect(p_1, j_1) → T
  23. Distance(R, T) → RT
  24. Distance(T, S) → TS
  25. Line(R', k) → q_1
  26. Line(S, i) → r_1
  27. Line(T, g) → s_1
  28. Line(R, m) → t_1
  29. LineBisector(G, F) → a_1
  30. Mirror(R', a_1) → R''
  31. Mirror(R'', l_1) → R'''
  32. Mirror(R''', k_1) → U
  33. Mirror(U, l_1) → U'
  34. Polygon(R'', R''', U, U') → q1, r'', r''', u, u'
  35. Segment(R', R'') → b_1
  36. Segment(R''', S) → c_1
  37. Segment(T, U) → d_1
  38. Segment(U', R) → e_1
  39. Polygon(R'', F, 8) → poly3, f_2, W, Z, A_1, B_1, C_1, g_2, h_2, i_2, j_2, k_2, l_2, m_2, V
  40. Polygon(E, R''', 8) → poly4, n_2, E_1, F_1, G_1, H_1, I_1, p_2, q_2, r_2, s_2, t_2, a_2, b_2, D_1
  41. Polygon(S, D, 8) → poly5, c_2, K_1, L_1, M_1, N_1, O_1, d_2, e_2, f_3, g_3, h_3, i_3, j_3, J_1
  42. Polygon(C, T, 8) → poly6, k_3, Q_1, R_1, S_1, T_1, U_1, l_3, m_3, n_3, p_3, q_3, r_3, s_3, P_1
  43. Polygon(U, B, 8) → poly7, t_3, W_1, Z_1, A_2, B_2, C_2, a_3, b_3, c_3, d_3, e_3, f_4, g_4, V_1
  44. Polygon(A, U', 8) → poly8, h_4, E_2, F_2, G_2, H_2, I_2, i_4, j_4, k_4, l_4, m_4, n_4, p_4, D_2
  45. Polygon(R, H, 8) → poly9, q_4, K_2, L_2, M_2, N_2, O_2, r_4, s_4, t_4, a_4, b_4, c_4, d_4, J_2
  46. Polygon(G, R', 8) → poly10, e_4, Q_2, R_2, S_2, T_2, U_2, f_5, g_5, h_5, i_5, j_5, k_5, l_5, P_2
  47. Segment(U_2, J_2) → m_5
  48. Segment(V, I_1) → n_5
  49. Segment(J_1, U_1) → p_5
  50. Segment(V_1, I_2) → q_5