追迹曲线正方形：几何与函数作图示例

GeoGebra 命令及参数

1. Polygon(A, B, 4) → poly1, f, g, h, i, C, D
2. Point(f) → E
3. Intersect(h, i) → F
4. Intersect(f, g) → G
5. Intersect(f, g) → I
6. Centroid(poly1) → J
7. Circle(A, E) → c
8. Rotate(c, 90°, J) → c'
9. Intersect(c', g, 1) → H
10. Polygon(E, H, 4) → poly2, j, k, l, m, K, L
11. Circle(E, A) → d
12. Circle(H, B) → e
13. Intersect(d, j, 1) → M
14. Intersect(e, k, 1) → N
15. Polygon(M, N, 4) → poly3, n, p, q, r, O, P
16. Circle(M, E) → s
17. Circle(N, H) → t
18. Intersect(s, n, 1) → Q
19. Intersect(t, p, 1) → R
20. Polygon(Q, R, 4) → poly4, a, b, f_1, g_1, S, T
21. Circle(Q, M) → c_1
22. Circle(R, N) → d_1
23. Intersect(c_1, a, 1) → U
24. Intersect(d_1, b, 1) → V
25. Polygon(U, V, 4) → poly5, h_1, i_1, j_1, k_1, W, Z
26. Circle(U, Q) → e_1
27. Circle(V, R) → p_1
28. Intersect(e_1, h_1, 1) → A_1
29. Intersect(p_1, i_1, 1) → B_1
30. Polygon(A_1, B_1, 4) → poly6, l_1, m_1, n_1, q_1, C_1, D_1
31. Circle(A_1, U) → r_1
32. Circle(B_1, V) → s_1
33. Intersect(r_1, l_1, 1) → E_1
34. Intersect(s_1, m_1, 1) → F_1
35. Polygon(E_1, F_1, 4) → poly7, t_1, a_1, b_1, f_2, G_1, H_1
36. Circle(E_1, A_1) → c_2
37. Circle(F_1, B_1) → d_2
38. Intersect(c_2, t_1, 1) → I_1
39. Intersect(d_2, a_1, 1) → J_1
40. Polygon(I_1, J_1, 4) → poly8, g_2, h_2, i_2, j_2, K_1, L_1
41. Circle(I_1, E_1) → e_2
42. Circle(J_1, F_1) → k_2
43. Intersect(e_2, g_2, 1) → M_1
44. Intersect(k_2, h_2, 1) → N_1
45. Polygon(M_1, N_1, 4) → poly9, l_2, m_2, n_2, p_2, O_1, P_1
46. Circle(M_1, I_1) → q_2
47. Circle(N_1, J_1) → r_2
48. Intersect(q_2, l_2, 1) → Q_1
49. Intersect(r_2, m_2, 1) → R_1
50. Polygon(Q_1, R_1, 4) → poly10, s_2, t_2, a_2, b_2, S_1, T_1
51. Circle(Q_1, M_1) → c_3
52. Circle(R_1, N_1) → d_3
53. Intersect(c_3, s_2, 1) → U_1
54. Intersect(d_3, t_2, 1) → V_1
55. Polygon(U_1, V_1, 4) → poly11, f_3, g_3, h_3, i_3, W_1, Z_1
56. Circle(U_1, Q_1) → e_3
57. Circle(V_1, R_1) → k_3
58. Intersect(e_3, f_3, 1) → A_2
59. Intersect(k_3, g_3, 1) → B_2
60. Polygon(A_2, B_2, 4) → poly12, j_3, l_3, m_3, n_3, C_2, D_2
61. Circle(A_2, U_1) → p_3
62. Circle(B_2, V_1) → q_3
63. Intersect(p_3, j_3, 1) → E_2
64. Intersect(q_3, l_3, 1) → F_2
65. Polygon(E_2, F_2, 4) → poly13, r_3, s_3, t_3, a_3, G_2, H_2
66. Circle(E_2, A_2) → c_4
67. Circle(F_2, B_2) → d_4
68. Intersect(c_4, r_3, 1) → I_2
69. Intersect(d_4, s_3, 1) → J_2
70. Polygon(I_2, J_2, 4) → poly14, b_3, f_4, g_4, h_4, K_2, L_2
71. Circle(I_2, E_2) → e_4
72. Circle(J_2, F_2) → k_4
73. Intersect(e_4, b_3, 1) → M_2
74. Intersect(k_4, f_4, 1) → N_2
75. Polygon(M_2, N_2, 4) → poly15, i_4, j_4, l_4, m_4, O_2, P_2
76. Circle(M_2, I_2) → p_4
77. Circle(N_2, J_2) → q_4
78. Intersect(p_4, i_4, 1) → Q_2
79. Intersect(q_4, j_4, 1) → R_2
80. Polygon(Q_2, R_2, 4) → poly16, n_4, r_4, s_4, t_4, S_2, T_2
81. Circle(Q_2, M_2) → c_5
82. Circle(R_2, N_2) → d_5
83. Intersect(c_5, n_4, 1) → U_2
84. Intersect(d_5, r_4, 1) → V_2
85. Polygon(U_2, V_2, 4) → poly17, a_4, b_4, f_5, g_5, W_2, Z_2
86. Circle(U_2, Q_2) → e_5
87. Circle(V_2, R_2) → h_5
88. Intersect(e_5, a_4, 1) → A_3
89. Intersect(h_5, b_4, 1) → B_3
90. Polygon(A_3, B_3, 4) → poly18, i_5, j_5, k_5, l_5, C_3, D_3
91. Circle(A_3, U_2) → p_5
92. Circle(B_3, V_2) → q_5
93. Intersect(p_5, i_5, 1) → E_3
94. Intersect(q_5, j_5, 1) → F_3
95. Polygon(E_3, F_3, 4) → poly19, m_5, n_5, r_5, s_5, G_3, H_3
96. Circle(E_3, A_3) → t_5
97. Circle(F_3, B_3) → c_6
98. Intersect(t_5, m_5, 1) → I_3
99. Intersect(c_6, n_5, 1) → J_3