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循环形状的几何构造

循环形状的几何构造
几何画板及绘图内容加载中，请稍等……
2015-04-01 23:59
圆三角函数几何作图
这个范例展示了循环形状的几何构造。它涉及椭圆、正弦函数和随机实验等核心数学概念。通过使用GeoGebra命令如Polygon、Circle、Intersect等，可以构造出具有特定性质的几何图形。适合高中数学教学和学习，特别是解析几何和三角函数的学习。

GeoGebra 命令及参数

  1. Polygon(A, B, 12) → poly1, a, j, k, l, C, D, E, F, G, H, I, b, J, K, L, c, d, e, f, g, h, i
  2. Polygon(I, H, 3) → poly2, m, n, p, M
  3. Polygon(H, G, 3) → poly3, q, r, s, N
  4. Polygon(G, F, 3) → poly4, t, a_1, b_1, O
  5. Polygon(F, E, 3) → poly5, c_1, d_1, e_1, P
  6. Polygon(E, D, 3) → poly6, f_1, g_1, h_1, Q
  7. Polygon(D, C, 3) → poly7, i_1, j_1, k_1, R
  8. Polygon(C, B, 3) → poly8, l_1, m_1, n_1, S
  9. Polygon(B, A, 3) → poly9, p_1, q_1, r_1, T
  10. Polygon(A, L, 3) → poly10, s_1, t_1, a_2, U
  11. Polygon(L, K, 3) → poly11, b_2, c_2, d_2, V
  12. Polygon(K, J, 3) → poly12, e_2, f_2, g_2, W
  13. Polygon(J, I, 3) → poly13, h_2, i_2, j_2, Z
  14. Circle(W, Z, M) → k_2
  15. Circle(J, I, D) → p_2
  16. Polygon(H, I, 3) → poly14, l_2, m_2, n_2, A_1
  17. Polygon(I, J, 3) → poly15, q_2, r_2, s_2, B_1
  18. Polygon(J, K, 3) → poly16, t_2, a_3, b_3, C_1
  19. Polygon(K, L, 3) → poly17, c_3, d_3, e_3, D_1
  20. Polygon(L, A, 3) → poly18, f_3, g_3, h_3, E_1
  21. Polygon(A, B, 3) → poly19, i_3, j_3, k_3, F_1
  22. Polygon(B, C, 3) → poly20, l_3, m_3, n_3, G_1
  23. Polygon(C, D, 3) → poly21, p_3, q_3, r_3, H_1
  24. Polygon(D, E, 3) → poly22, s_3, t_3, a_4, I_1
  25. Polygon(E, F, 3) → poly23, b_4, c_4, d_4, J_1
  26. Polygon(F, G, 3) → poly24, e_4, f_4, g_4, K_1
  27. Polygon(G, H, 3) → poly25, h_4, i_4, j_4, L_1
  28. Circle(B_1, A_1, H_1) → k_4
  29. Polygon(A_1, B_1, 3) → poly26, l_4, m_4, n_4, M_1
  30. Polygon(B_1, C_1, 3) → poly27, p_4, q_4, r_4, N_1
  31. Polygon(C_1, D_1, 3) → poly28, s_4, t_4, a_5, O_1
  32. Polygon(D_1, E_1, 3) → poly29, b_5, c_5, d_5, P_1
  33. Polygon(E_1, F_1, 3) → poly30, e_5, f_5, g_5, Q_1
  34. Polygon(F_1, G_1, 3) → poly31, h_5, i_5, j_5, R_1
  35. Polygon(L_1, A_1, 3) → poly32, k_5, l_5, m_5, S_1
  36. Polygon(K_1, L_1, 3) → poly33, n_5, p_5, q_5, T_1
  37. Polygon(J_1, K_1, 3) → poly34, r_5, s_5, t_5, U_1
  38. Polygon(I_1, J_1, 3) → poly35, a_6, b_6, c_6, V_1
  39. Polygon(H_1, I_1, 3) → poly36, d_6, e_6, f_6, W_1
  40. Polygon(G_1, H_1, 3) → poly37, g_6, h_6, i_6, Z_1
  41. Polygon(P_1, Q_1, 3) → poly38, j_6, k_6, l_6, A_2
  42. Polygon(Q_1, R_1, 3) → poly39, m_6, n_6, p_6, B_2
  43. Polygon(O_1, P_1, 3) → poly40, q_6, r_6, s_6, C_2
  44. Polygon(N_1, O_1, 3) → poly41, t_6, a_7, b_7, D_2
  45. Polygon(C, B, 3) → poly42, c_7, d_7, e_7, E_2
  46. Intersect(b, c) → F_2
  47. Intersect(q_4, r_4) → K_2
  48. Intersect(p_5, q_5) → L_2
  49. Intersect(h_6, i_6) → M_2
  50. Circle(K_2, L_2, M_2) → f_7
  51. Center(f_7) → N_2
  52. Rotate(poly2, Δ, N_2) → poly2'
  53. Rotate(poly3, Δ, N_2) → poly3'
  54. Rotate(poly4, Δ, N_2) → poly4'
  55. Rotate(poly5, Δ, N_2) → poly5'
  56. Rotate(poly6, Δ, N_2) → poly6'
  57. Rotate(poly7, Δ, N_2) → poly7'
  58. Rotate(poly9, Δ, N_2) → poly9'
  59. Rotate(poly10, Δ, N_2) → poly10'
  60. Rotate(poly11, Δ, N_2) → poly11'
  61. Rotate(poly12, Δ, N_2) → poly12'
  62. Rotate(poly13, Δ, N_2) → poly13'
  63. Rotate(poly14, Δ, N_2) → poly14'
  64. Rotate(poly15, Δ, N_2) → poly15'
  65. Rotate(poly16, Δ, N_2) → poly16'
  66. Rotate(poly17, Δ, N_2) → poly17'
  67. Rotate(poly18, Δ, N_2) → poly18'
  68. Rotate(poly19, Δ, N_2) → poly19'
  69. Rotate(poly20, Δ, N_2) → poly20'
  70. Rotate(poly21, Δ, N_2) → poly21'
  71. Rotate(poly22, Δ, N_2) → poly22'
  72. Rotate(poly23, Δ, N_2) → poly23'
  73. Rotate(poly24, Δ, N_2) → poly24'
  74. Rotate(poly25, Δ, N_2) → poly25'
  75. Rotate(poly26, Δ, N_2) → poly26'
  76. Rotate(poly27, Δ, N_2) → poly27'
  77. Rotate(poly28, Δ, N_2) → poly28'
  78. Rotate(poly29, Δ, N_2) → poly29'
  79. Rotate(poly30, Δ, N_2) → poly30'
  80. Rotate(poly31, Δ, N_2) → poly31'
  81. Rotate(poly32, Δ, N_2) → poly32'
  82. Rotate(poly33, Δ, N_2) → poly33'
  83. Rotate(poly34, Δ, N_2) → poly34'
  84. Rotate(poly35, Δ, N_2) → poly35'
  85. Rotate(poly36, Δ, N_2) → poly36'
  86. Rotate(poly37, Δ, N_2) → poly37'
  87. Rotate(poly42, Δ, N_2) → poly42'
  88. Rotate(k_2, Δ, N_2) → g_7
  89. Rotate(f_7, Δ, N_2) → h_7