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Kayseri-Sahibiye清真寺几何构造 by chris cambré

Kayseri-Sahibiye清真寺几何构造 by chris cambré
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2020-08-18 13:52
多边形向量几何作图
所属专题 Fatin Uluengin - muqarnas
①本范例演示了Kayseri-Sahibiye清真寺的几何构造过程；②涉及的核心数学概念包括多边形、向量、变换和几何作图；③作图要点：使用Point, ConstructionStep, Polygon, Segment, Intersect, Mirror, Vector, Translate等GeoGebra命令和对象进行构造；④适合高中阶段学生学习和理解几何作图方法。

GeoGebra 命令及参数

  1. Point(xAxis) → A
  2. ConstructionStep() → stap
  3. Point(xAxis) → B
  4. Polygon(A, B, C, D) → vierhoek1, a, b, c, d
  5. Point(yAxis) → E
  6. Segment(E, F) → f
  7. Intersect(a, f) → G
  8. Point(c) → H_1
  9. Segment(H_1, G) → s
  10. Segment(D, G) → g
  11. Intersect(c, f) → H
  12. Segment(A, H) → h
  13. Point(d) → I
  14. Segment(I, J) → i
  15. Point(c) → K
  16. Point(a) → L
  17. Segment(K, L) → j
  18. Mirror(G, g) → G'
  19. Intersect(g, h) → N
  20. Point(d) → P
  21. Point(b) → M
  22. Segment(J, M) → k
  23. Point(c) → O
  24. Point(a) → R
  25. Segment(O, R) → l
  26. Segment(I, K) → m
  27. Segment(K, J) → p
  28. Segment(I, L) → q
  29. Segment(L, J) → n
  30. Segment(L, J) → r
  31. Mirror(afbeelding5, yAxis) → afbeelding5'
  32. Point(a) → I_1
  33. Point(s) → M_1
  34. Polygon(I_1, J_1, R_1, S_1, T_1, U_1, V_1, W_1, K_1, L_1, M_1, N_1, O_1, P_1, Q_1, E_1) → veelhoek1, t, m_1, n_1, p_1, q_1, r_1, s_1, t_1, e, f_1, g_1, h_1, i_1, j_1, k_1, l_1
  35. Polygon(A_2, B_2, C_2, D_2, E_2, F_2, G_2, H_2, I_2, J_2) → veelhoek2, a_2, j_2, b_2, c_2, d_2, e_2, f_2, g_2, h_2, i_2
  36. Mirror(A_2, yAxis) → K_2
  37. Mirror(B_2, yAxis) → L_2
  38. Mirror(C_2, yAxis) → M_2
  39. Mirror(D_2, yAxis) → N_2
  40. Mirror(E_2, yAxis) → O_2
  41. Mirror(F_2, yAxis) → P_2
  42. Mirror(G_2, yAxis) → Q_2
  43. Mirror(H_2, yAxis) → R_2
  44. Mirror(I_2, yAxis) → S_2
  45. Mirror(J_2, yAxis) → T_2
  46. Polygon(K_2, L_2, M_2, N_2, O_2, P_2, Q_2, R_2, S_2, T_2) → veelhoek2', k_2, t_2, l_2, m_2, n_2, o_2, p_2, q_2, r_2, s_2
  47. Polygon(U_2, V_2, W_2, Z_2, A_3, B_3, C_3) → veelhoek3, u_2, v_2, w_2, z_2, a_3, b_3, c_3
  48. Vector(D_3, E_3) → u
  49. Translate(U_2, u) → F_3
  50. Translate(V_2, u) → G_3
  51. Translate(W_2, u) → H_3
  52. Translate(Z_2, u) → I_3
  53. Translate(A_3, u) → J_3
  54. Translate(B_3, u) → K_3
  55. Translate(C_3, u) → L_3
  56. Polygon(F_3, G_3, H_3, I_3, J_3, K_3, L_3) → veelhoek3', f_3, g_3, h_3, i_3, j_3, k_3, l_3
  57. Translate(U_2, Vector[(-u)]) → M_3
  58. Translate(V_2, Vector[(-u)]) → N_3
  59. Translate(W_2, Vector[(-u)]) → O_3
  60. Translate(Z_2, Vector[(-u)]) → P_3
  61. Translate(A_3, Vector[(-u)]) → Q_3
  62. Translate(B_3, Vector[(-u)]) → R_3
  63. Translate(C_3, Vector[(-u)]) → S_3
  64. Polygon(M_3, N_3, O_3, P_3, Q_3, R_3, S_3) → veelhoek3'_1, m_3, n_3, o_3, p_3, q_3, r_3, s_3