递归解决方案

GeoGebra 命令及参数

1. Intersect(xAxis, yAxis) → A
2. Point(xAxis) → B
3. Polygon(A, B, 4) → poly1, f, g, h, i, C, D
4. Midpoint(i) → E
5. Midpoint(h) → F
6. Midpoint(g) → G
7. Midpoint(f) → H
8. Segment(F, H) → j
9. Segment(E, G) → k
10. Midpoint(F, H) → I
11. Midpoint(F, I) → J
12. Midpoint(I, H) → K
13. Midpoint(E, I) → L
14. Midpoint(I, G) → M
15. Midpoint(F, J) → N
16. Midpoint(E, L) → O
17. Midpoint(I, K) → P
18. Midpoint(L, I) → Q
19. Midpoint(J, I) → R
20. Midpoint(I, M) → S
21. Midpoint(M, G) → T
22. Midpoint(K, H) → U
23. Midpoint(D, I) → B_1
24. Midpoint(D, B_1) → V
25. Midpoint(B_1, I) → W
26. Midpoint(I, B) → Z
27. Midpoint(I, Z) → A_1
28. Midpoint(Z, B) → C_1
29. Midpoint(I, C) → D_1
30. Midpoint(I, D_1) → E_1
31. Midpoint(D_1, C) → F_1
32. Midpoint(A, I) → G_1
33. Midpoint(G_1, I) → H_1
34. Midpoint(A, G_1) → I_1
35. Polygon(I_1, C_1, 4) → poly2, l, m, n, p, J_1, K_1
36. Polygon(G_1, Z, 4) → poly3, a, b, c, d, L_1, M_1
37. Midpoint(B_1, L) → N_1
38. Midpoint(B_1, J) → O_1
39. Midpoint(J, D_1) → P_1
40. Midpoint(D_1, M) → Q_1
41. Midpoint(M, Z) → R_1
42. Midpoint(Z, K) → S_1
43. Midpoint(K, G_1) → T_1
44. Midpoint(G_1, L) → U_1
45. Polygon(H_1, A_1, 4) → poly4, s, t, e, f_1, V_1, W_1
46. Polygon(E, O, J, D_1, F_1, N, F, D, V, B_1, L, Q, W, I, E_1, R) → poly5, e_1, r_1, j_1, d_1, f_2, n_1, f_3, d_2, o, v, b_1, l_1, q_1, w, i_1, e_2
47. Rotate(E, (-(90°)), I) → E'
48. Rotate(O, (-(90°)), I) → O'
49. Rotate(V, (-(90°)), I) → V'
50. Rotate(B_1, (-(90°)), I) → Z_1
51. Rotate(L, (-(90°)), I) → L'
52. Rotate(Q, (-(90°)), I) → Q'
53. Rotate(W, (-(90°)), I) → W'
54. Rotate(I, (-(90°)), I) → I'
55. Rotate(E_1, (-(90°)), I) → A_2
56. Rotate(R, (-(90°)), I) → R'
57. Rotate(J, (-(90°)), I) → J'
58. Rotate(D_1, (-(90°)), I) → B_2
59. Rotate(F_1, (-(90°)), I) → C_2
60. Rotate(N, (-(90°)), I) → N'
61. Rotate(F, (-(90°)), I) → F'
62. Rotate(D, (-(90°)), I) → D'
63. Polygon(E', O', J', B_2, C_2, N', F', D', V', Z_1, L', Q', W', I', A_2, R') → poly5', e', r', j', b_2, c_2, n', f', d', o', v', z_1, l', q', w', i', a_2
64. Rotate(E', (-(90°)), I) → E''
65. Rotate(O', (-(90°)), I) → O''
66. Rotate(V', (-(90°)), I) → V''
67. Rotate(Z_1, (-(90°)), I) → D_2
68. Rotate(L', (-(90°)), I) → L''
69. Rotate(Q', (-(90°)), I) → Q''
70. Rotate(W', (-(90°)), I) → W''
71. Rotate(I', (-(90°)), I) → I''
72. Rotate(A_2, (-(90°)), I) → E_2
73. Rotate(R', (-(90°)), I) → R''
74. Rotate(J', (-(90°)), I) → J''
75. Rotate(B_2, (-(90°)), I) → F_2
76. Rotate(C_2, (-(90°)), I) → G_2
77. Rotate(N', (-(90°)), I) → N''
78. Rotate(F', (-(90°)), I) → F''
79. Rotate(D', (-(90°)), I) → D''
80. Polygon(E'', O'', J'', F_2, G_2, N'', F'', D'', V'', D_2, L'', Q'', W'', I'', E_2, R'') → poly5'', e'', r'', j'', f_4, g_2, n'', f'', d'', o'', v'', d_3, l'', q'', w'', i'', e_3
81. Rotate(E', (-(180°)), I) → E''_1
82. Rotate(O', (-(180°)), I) → O''_1
83. Rotate(V', (-(180°)), I) → V''_1
84. Rotate(Z_1, (-(180°)), I) → H_2
85. Rotate(L', (-(180°)), I) → L''_1
86. Rotate(Q', (-(180°)), I) → Q''_1
87. Rotate(W', (-(180°)), I) → W''_1
88. Rotate(I', (-(180°)), I) → I''_1
89. Rotate(A_2, (-(180°)), I) → I_2
90. Rotate(R', (-(180°)), I) → R''_1
91. Rotate(J', (-(180°)), I) → J''_1
92. Rotate(B_2, (-(180°)), I) → J_2
93. Rotate(C_2, (-(180°)), I) → K_2
94. Rotate(N', (-(180°)), I) → N''_1
95. Rotate(F', (-(180°)), I) → F''_1
96. Rotate(D', (-(180°)), I) → D''_1
97. Polygon(E''_1, O''_1, J''_1, J_2, K_2, N''_1, F''_1, D''_1, V''_1, H_2, L''_1, Q''_1, W''_1, I''_1, I_2, R''_1) → poly5''_1, e''_1, r''_1, j''_1, j_2, k_2, n''_1, f''_1, d''_1, o''_1, v''_1, h_2, l''_1, q''_1, w''_1, i''_1, i_2
98. Segment(J_2, I) → q
99. Circle(I, r) → c_1
100. Intersect(c_1, q, 1) → L_2
101. Segment(I, Z_1) → g_1
102. Intersect(c_1, g_1, 1) → M_2
103. Vector(I, L_2) → u
104. Vector(I, M_2) → u_1
105. Translate(E', u_1) → E''_2
106. Translate(O', u_1) → O''_2
107. Translate(V', u_1) → V''_2
108. Translate(Z_1, u_1) → N_2
109. Translate(L', u_1) → L''_2
110. Translate(Q', u_1) → Q''_2
111. Translate(W', u_1) → W''_2
112. Translate(I', u_1) → I''_2
113. Translate(A_2, u_1) → O_2
114. Translate(R', u_1) → R''_2
115. Translate(J', u_1) → J''_2
116. Translate(B_2, u_1) → P_2
117. Translate(C_2, u_1) → Q_2
118. Translate(N', u_1) → N''_2
119. Translate(F', u_1) → F''_2
120. Translate(D', u_1) → D''_2
121. Polygon(E''_2, O''_2, J''_2, P_2, Q_2, N''_2, F''_2, D''_2, V''_2, N_2, L''_2, Q''_2, W''_2, I''_2, O_2, R''_2) → poly5''_2, e''_2, r''_2, j''_2, p_2, q_2, n''_2, f''_2, d''_2, o''_2, v''_2, n_2, l''_2, q''_2, w''_2, i''_2, o_2
122. Translate(E''_1, Vector[(-u_1)]) → R_2
123. Translate(O''_1, Vector[(-u_1)]) → S_2
124. Translate(V''_1, Vector[(-u_1)]) → T_2
125. Translate(H_2, Vector[(-u_1)]) → U_2
126. Translate(L''_1, Vector[(-u_1)]) → V_2
127. Translate(Q''_1, Vector[(-u_1)]) → W_2
128. Translate(W''_1, Vector[(-u_1)]) → Z_2
129. Translate(I''_1, Vector[(-u_1)]) → A_3
130. Translate(I_2, Vector[(-u_1)]) → B_3
131. Translate(R''_1, Vector[(-u_1)]) → C_3
132. Translate(J''_1, Vector[(-u_1)]) → D_3
133. Translate(J_2, Vector[(-u_1)]) → E_3
134. Translate(K_2, Vector[(-u_1)]) → F_3
135. Translate(N''_1, Vector[(-u_1)]) → G_3
136. Translate(F''_1, Vector[(-u_1)]) → H_3
137. Translate(D''_1, Vector[(-u_1)]) → I_3
138. Polygon(R_2, S_2, D_3, E_3, F_3, G_3, H_3, I_3, T_2, U_2, V_2, W_2, Z_2, A_3, B_3, C_3) → poly6, r_2, c_3, d_4, e_4, f_5, g_3, h_3, i_3, s_2, t_2, u_2, v_2, w_2, z_2, a_3, b_3
139. Translate(E''_1, Vector[(-u_1)]) → J_3
140. Translate(O''_1, Vector[(-u_1)]) → K_3
141. Translate(V''_1, Vector[(-u_1)]) → L_3
142. Translate(H_2, Vector[(-u_1)]) → M_3
143. Translate(L''_1, Vector[(-u_1)]) → N_3
144. Translate(Q''_1, Vector[(-u_1)]) → O_3
145. Translate(W''_1, Vector[(-u_1)]) → P_3
146. Translate(I''_1, Vector[(-u_1)]) → Q_3
147. Translate(I_2, Vector[(-u_1)]) → R_3
148. Translate(R''_1, Vector[(-u_1)]) → S_3
149. Translate(J''_1, Vector[(-u_1)]) → T_3
150. Translate(J_2, Vector[(-u_1)]) → U_3
151. Translate(K_2, Vector[(-u_1)]) → V_3
152. Translate(N''_1, Vector[(-u_1)]) → W_3
153. Translate(F''_1, Vector[(-u_1)]) → Z_3
154. Translate(D''_1, Vector[(-u_1)]) → A_4
155. Polygon(J_3, K_3, T_3, U_3, V_3, W_3, Z_3, A_4, L_3, M_3, N_3, O_3, P_3, Q_3, R_3, S_3) → poly7, j_3, s_3, t_3, u_3, v_3, w_3, z_3, a_4, k_3, l_3, m_3, n_3, o_3, p_3, q_3, r_3
156. Translate(E, u) → E'_1
157. Translate(O, u) → O'_1
158. Translate(V, u) → V'_1
159. Translate(B_1, u) → B_4
160. Translate(L, u) → L'_1
161. Translate(Q, u) → Q'_1
162. Translate(W, u) → W'_1
163. Translate(I, u) → I'_1
164. Translate(E_1, u) → C_4
165. Translate(R, u) → R'_1
166. Translate(J, u) → J'_1
167. Translate(D_1, u) → D_4
168. Translate(F_1, u) → E_4
169. Translate(N, u) → N'_1
170. Translate(F, u) → F'_1
171. Translate(D, u) → D'_1
172. Polygon(E'_1, O'_1, J'_1, D_4, E_4, N'_1, F'_1, D'_1, V'_1, B_4, L'_1, Q'_1, W'_1, I'_1, C_4, R'_1) → poly5'_1, e'_1, r'_1, j'_1, d_5, e_5, n'_1, f'_1, d'_1, o'_1, v'_1, b_4, l'_1, q'_1, w'_1, i'_1, c_4
173. Translate(E'', Vector[(-u)]) → E'''
174. Translate(O'', Vector[(-u)]) → O'''
175. Translate(V'', Vector[(-u)]) → V'''
176. Translate(D_2, Vector[(-u)]) → F_4
177. Translate(L'', Vector[(-u)]) → L'''
178. Translate(Q'', Vector[(-u)]) → Q'''
179. Translate(W'', Vector[(-u)]) → W'''
180. Translate(I'', Vector[(-u)]) → I'''
181. Translate(E_2, Vector[(-u)]) → G_4
182. Translate(R'', Vector[(-u)]) → R'''
183. Translate(J'', Vector[(-u)]) → J'''
184. Translate(F_2, Vector[(-u)]) → H_4
185. Translate(G_2, Vector[(-u)]) → I_4
186. Translate(N'', Vector[(-u)]) → N'''
187. Translate(F'', Vector[(-u)]) → F'''
188. Translate(D'', Vector[(-u)]) → D'''
189. Polygon(E''', O''', J''', H_4, I_4, N''', F''', D''', V''', F_4, L''', Q''', W''', I''', G_4, R''') → poly5''', e''', r''', j''', h_4, i_4, n''', f''', d''', o''', v''', f_6, l''', q''', w''', i''', g_4
190. Prism(poly5'_1, h_1) → k_1, B_5, K_5, L_5, M_5, N_5, O_5, P_5, Q_5, face18, face20, face21, C_5, face22, face23, face24, face25, face26, face27, face28, face29, face30, face31, D_5, face32, face33, face19, face34, edge33, edge34, edge35, edge36, edge37, edge38, E_5, edge39, edge40, edge41, edge42, edge43, edge44, edge45, edge46, edge47, edge48, F_5, edge49, edge51, edge52, edge53, edge54, edge55, edge56, edge57, edge58, edge59, G_5, edge60, edge61, edge62, edge63, edge64, edge50, H_5, I_5, J_5
191. Prism(poly5''', m_1) → o_1, R_5, C_6, D_6, E_6, F_6, G_6, H_6, I_6, face35, face37, face38, S_5, face39, face40, face41, face42, face43, face44, face45, face46, face47, face48, T_5, face49, face50, face36, face51, edge65, edge66, edge67, edge68, edge69, edge70, U_5, edge71, edge72, edge73, edge74, edge75, edge76, edge77, edge78, edge79, edge80, V_5, edge81, edge83, edge84, edge85, edge86, edge87, edge88, edge89, edge90, edge91, W_5, edge92, edge93, edge94, edge95, edge96, edge82, Z_5, A_6, B_6
192. Prism(poly5''_2, p_1) → s_1, J_6, S_6, T_6, U_6, V_6, W_6, Z_6, A_7, face52, face54, face55, K_6, face56, face57, face58, face59, face60, face61, face62, face63, face64, face65, L_6, face66, face67, face53, face68, edge97, edge98, edge99, edge100, edge101, edge102, M_6, edge103, edge104, edge105, edge106, edge107, edge108, edge109, edge110, edge111, edge112, N_6, edge113, edge115, edge116, edge117, edge118, edge119, edge120, edge121, edge122, edge123, O_6, edge124, edge125, edge126, edge127, edge128, edge114, P_6, Q_6, R_6
193. Prism(poly6, t_1) → v_1, B_7, K_7, L_7, M_7, N_7, O_7, P_7, Q_7, face69, face71, face72, C_7, face73, face74, face75, face76, face77, face78, face79, face80, face81, face82, D_7, face83, face84, face70, face85, edge129, edge130, edge131, edge132, edge133, edge134, E_7, edge135, edge136, edge137, edge138, edge139, edge140, edge141, edge142, edge143, edge144, F_7, edge145, edge147, edge148, edge149, edge150, edge151, edge152, edge153, edge154, edge155, G_7, edge156, edge157, edge158, edge159, edge160, edge146, H_7, I_7, J_7