方形拼图的几何构造与变换演示

GeoGebra 命令及参数

1. Segment(A_1, B_1) → c_1
2. Circle(O_1, 2) → p_1
3. Point(p_1) → P_1
4. Segment(O_1, P_1) → n_1
5. OrthogonalLine(O_1, n_1) → r_1
6. Intersect(p_1, r_1, 2) → Q_1
7. Polygon(Q_1, O_1, P_1) → poly6, p_2, q_2, o_1
8. Circle(R_1, 2) → s_1
9. Point(s_1) → S_1
10. Segment(R_1, S_1) → t_1
11. OrthogonalLine(R_1, t_1) → a_2
12. Intersect(s_1, a_2, 2) → T_1
13. Polygon(T_1, R_1, S_1) → poly7, s_2, t_2, r_2
14. Circle(U_1, 2) → c_2
15. Point(c_2) → V_1
16. Segment(U_1, V_1) → b_2
17. OrthogonalLine(U_1, b_2) → d_2
18. Intersect(c_2, d_2, 2) → W_1
19. Polygon(W_1, U_1, V_1) → poly8, v_1, w_1, u_1
20. Circle(Z_1, 2) → e_2
21. Point(e_2) → A_2
22. Segment(Z_1, A_2) → f_2
23. OrthogonalLine(Z_1, f_2) → g_2
24. Intersect(e_2, g_2, 2) → B_2
25. Polygon(B_2, Z_1, A_2) → poly9, a_3, b_3, z_1
26. Circle(C_2, 5) → h_2
27. Point(h_2) → D_2
28. Segment(C_2, D_2) → i_2
29. OrthogonalLine(C_2, i_2) → j_2
30. Intersect(h_2, j_2, 1) → E_2
31. Polygon(E_2, C_2, D_2) → poly10, d_3, e_3, c_3
32. Circle(F_2, 2.5) → k_2
33. Point(k_2) → G_2
34. Segment(F_2, G_2) → l_2
35. OrthogonalLine(G_2, l_2) → m_2
36. OrthogonalLine(F_2, l_2) → n_2
37. Intersect(k_2, n_2) → H_2, I_2
38. OrthogonalLine(I_2, n_2) → f_3
39. Intersect(m_2, f_3) → J_2
40. Polygon(F_2, G_2, J_2, I_2) → poly11, f_4, g_3, j_3, i_3
41. Circle(K_2, 2.5) → h_3
42. Point(h_3) → L_2
43. Circle(K_2, 5) → k_3
44. Segment(K_2, L_2) → l_3
45. OrthogonalLine(L_2, l_3) → m_3
46. OrthogonalLine(K_2, l_3) → n_3
47. Intersect(k_3, n_3, 2) → M_2
48. Line(M_2, l_3) → p_3
49. Intersect(m_3, p_3) → N_2
50. Polygon(K_2, L_2, N_2, M_2) → poly12, k_4, l_4, n_4, m_4
51. Circle(O_2, 2.5) → q_3
52. Point(q_3) → P_2
53. Circle(O_2, 5) → r_3
54. Segment(P_2, O_2) → s_3
55. OrthogonalLine(O_2, s_3) → t_3
56. Intersect(r_3, t_3, 2) → Q_2
57. Polygon(O_2, Q_2, P_2) → poly13, p_4, o_2, q_4
58. Circle(R_2, 2.5) → c_4
59. Circle(R_2, 5) → d_4
60. Circle(V_2, 3) → e_4
61. Point(e_4) → W_2
62. Rotate(W_2, 90°, V_2) → Z_2
63. Line(W_2, Z_2) → g_4
64. Line(V_2, g_4) → h_4
65. Segment(V_2, W_2) → i_4
66. Point(g_4) → A_3
67. Line(A_3, i_4) → j_4
68. Intersect(h_4, j_4) → B_3
69. OrthogonalLine(B_3, i_4) → t_4
70. Intersect(g_4, t_4) → C_3
71. Polygon(C_3, B_3, V_2, W_2) → poly15, c_5, b_5, v_2, w_2
72. Circle(D_3, 2.5) → d_5
73. Point(d_5) → E_3
74. Segment(E_3, D_3) → a_5
75. OrthogonalLine(D_3, a_5) → e_5
76. OrthogonalLine(E_3, a_5) → f_5
77. Intersect(d_5, e_5, 2) → F_3
78. Circle(E_3, 5) → g_5
79. Intersect(g_5, f_5, 2) → G_3
80. Polygon(D_3, E_3, G_3, F_3) → poly16, d_6, e_6, g_6, f_6
81. Circle(H_3, 2.5) → k_5
82. Point(k_5) → I_3
83. Rotate(I_3, 90°, H_3) → J_3
84. Circle(I_3, 5) → p_5
85. Segment(H_3, I_3) → j_5
86. OrthogonalLine(I_3, j_5) → l_5
87. Intersect(p_5, l_5, 2) → K_3
88. Polygon(H_3, I_3, K_3, J_3) → poly17, h_6, i_6, k_6, j_6
89. Circle(L_3, 5) → q_5
90. Point(q_5) → M_3
91. Rotate(M_3, 90°, L_3) → N_3
92. Segment(N_3, M_3) → m_5
93. OrthogonalLine(L_3, m_5) → n_5
94. Intersect(n_5, m_5) → O_3
95. Polygon(L_3, M_3, O_3) → poly18, o_3, l_6, m_6
96. Circle(P_3, 3) → r_5
97. Point(r_5) → Q_3
98. Rotate(Q_3, 90°, P_3) → R_3
99. Circle(V_3, 2.5) → c_6
100. Point(c_6) → W_3
101. Rotate(W_3, 90°, V_3) → Z_3
102. Segment(V_3, W_3) → a_6
103. Line(Z_3, a_6) → b_6
104. Rotate(W_3, 270°, V_3) → A_4
105. Line(A_4, b_6) → n_6
106. OrthogonalLine(W_3, b_6) → s_6
107. Rotate(W_3, 180°, V_3) → B_4
108. OrthogonalLine(B_4, b_6) → t_6
109. Intersect(n_6, t_6) → C_4
110. Circle(C_4, 2) → c_7
111. Intersect(c_7, t_6) → D_4, E_4
112. Intersect(c_7, n_6) → F_4, G_4
113. Intersect(b_6, t_6) → H_4
114. Intersect(n_6, s_6) → I_4
115. Polygon(V_3, Z_3, H_4, E_4, G_4, I_4, W_3) → poly20, v_3, z_3, h_7, e_7, g_7, i_7, w_3
116. Circle(J_4, 3) → d_7
117. Point(d_7) → K_4
118. Rotate(K_4, 90°, J_4) → L_4
119. Line(J_4, L_4) → a_7
120. OrthogonalLine(J_4, a_7) → b_7
121. Circle(J_4, 5) → f_7
122. Intersect(f_7, b_7, 1) → M_4
123. Rotate(M_4, 90°, J_4) → N_4
124. Line(N_4, b_7) → j_7
125. Line(M_4, a_7) → k_7
126. Intersect(j_7, k_7) → O_4
127. Rotate(K_4, 270°, M_4) → P_4
128. Rotate(L_4, 90°, N_4) → Q_4
129. Polygon(J_4, K_4, P_4, O_4, Q_4, L_4) → poly21, j_8, k_8, p_7, o_4, q_7, l_7
130. Circle(R_4, 5) → s_5
131. Point(s_5) → S_4
132. Rotate(S_4, 90°, R_4) → T_4
133. Midpoint(R_4, T_4) → U_4
134. Polygon(R_4, S_4, U_4) → poly19, u_4, r_6, s_7
135. Polygon(A, B, 4) → poly1, a_1, b_1, f, g, C, D
136. Polygon(E, F, 4) → poly2, e_1, f_1, h, i, G, H
137. Polygon(I, J, 4) → poly3, i_1, j, k, l, K, L
138. Polygon(M, N, 4) → poly4, m, n, p, q, O, P
139. Polygon(Q, R, 4) → poly5, q_1, r, s, t, S, T