3.4.2 波纹馆藏：Azulejo 2 几何构造与导数演示

GeoGebra 命令及参数

1. Line(A, B) → b
2. Line(G, b) → e
3. Point(e) → J
4. OrthogonalLine(J, e) → h
5. OrthogonalLine(G, e) → f
6. Point(f) → H
7. OrthogonalLine(H, f) → g
8. Intersect(g, h) → E
9. Midpoint(E, H) → I
10. Midpoint(I, E) → B_1
11. Midpoint(G, J) → D
12. Midpoint(J, E) → F
13. Midpoint(H, G) → K
14. Midpoint(D, I) → L
15. Midpoint(K, L) → M
16. Midpoint(L, F) → N
17. Midpoint(F, J) → O
18. Midpoint(J, D) → P
19. Midpoint(G, D) → Q
20. Midpoint(K, G) → R
21. Midpoint(Q, M) → S
22. Midpoint(L, D) → T
23. Midpoint(P, N) → U
24. Midpoint(F, E) → V
25. Midpoint(K, H) → W
26. Midpoint(W, V) → Z
27. Midpoint(H, I) → A_1
28. Midpoint(N, B_1) → C_1
29. Midpoint(Z, W) → D_1
30. Midpoint(D, U) → E_1
31. Midpoint(U, J) → F_1
32. Midpoint(T, Q) → G_1
33. Midpoint(S, G) → H_1
34. Midpoint(S, K) → I_1
35. Midpoint(M, T) → J_1
36. Midpoint(T, N) → K_1
37. Midpoint(N, O) → L_1
38. Midpoint(F, C_1) → M_1
39. Midpoint(C_1, L) → N_1
40. Midpoint(L, D_1) → O_1
41. Midpoint(D_1, K) → P_1
42. Midpoint(H, D_1) → Q_1
43. Midpoint(D_1, I) → R_1
44. Midpoint(I, C_1) → S_1
45. Midpoint(C_1, E) → T_1
46. Mirror(F_1, h) → U_1
47. Mirror(L_1, h) → V_1
48. Mirror(M_1, h) → W_1
49. Mirror(T_1, h) → Z_1
50. Mirror(B_1, h) → A_2
51. Line(Q, A_2) → d
52. Line(F, d) → i
53. Line(C_1, d) → k
54. Line(S_1, k) → l
55. Line(R_1, L_1) → j
56. Line(D_1, j) → m
57. Line(M, j) → n
58. Line(I, j) → p
59. Line(S, A_1) → t
60. Line(I, T) → a_1
61. Line(U, B_1) → b_1
62. Line(E_1, N_1) → c_1
63. Line(F_1, M_1) → d_1
64. Line(G_1, R_1) → e_1
65. Line(W_1, P_1) → g_1
66. Line(Q_1, Z_1) → h_1
67. Point(a_1) → F_2
68. Mirror(F_2, m) → L_2
69. Mirror(F_2, m) → M_2
70. Point(b) → A1
71. Min(90, ((a - 1) * 90)) → r1
72. Line(G_1, O_1) → l_1
73. OrthogonalLine(G_1, l_1) → m_1
74. OrthogonalLine(J_1, l_1) → q_1
75. OrthogonalLine(O_1, l_1) → r_1
76. OrthogonalLine(R_1, l_1) → s_1
77. OrthogonalLine(E_1, m_1) → t_1
78. OrthogonalLine(F_1, m_1) → a_2
79. Point(a_1) → C
80. OrthogonalLine(F_2, d) → i_1
81. OrthogonalLine(C, d) → j_1
82. Min(180, ((a - 1) * 180)) → r2
83. Min(270, ((a - 1) * 270)) → r3
84. Min(180, ((a - 5.5) * 180)) → r4
85. Vector(R, S) → z_1
86. Vector(R, G) → u_2
87. Translate(pic1, u_2) → pic1'
88. Translate(pic1', u_2) → pic1''
89. Translate(pic1'', u_2) → pic1'''
90. Translate(pic1, z_1) → pic1'_1
91. Translate(pic1'_1, z_1) → pic2
92. Translate(pic2, z_1) → pic2'
93. Translate(pic2', z_1) → pic2''
94. Translate(pic1', z_1) → pic1''_1
95. Translate(pic1'', z_1) → pic1'''_1
96. Translate(pic1'''_1, z_1) → pic3
97. Translate(pic1''', z_1) → pic4
98. Translate(pic4, z_1) → pic4'
99. Translate(pic1''_1, z_1) → pic5
100. Translate(pic5, z_1) → pic5'
101. Translate(pic5', z_1) → pic5''
102. Translate(pic4', z_1) → pic4''
103. Translate(pic4'', z_1) → pic4'''
104. Translate(pic3, z_1) → pic3'
105. Translate(pic3', z_1) → pic3''
106. Translate(pic1''', u_2) → pic6
107. Translate(pic4, u_2) → pic4'_1
108. Translate(pic4'_1, z_1) → pic7
109. Translate(pic7, z_1) → pic7'
110. Translate(pic7', z_1) → pic7''
111. Midpoint(H_1, G_1) → B_2
112. Midpoint(G_1, E_1) → C_2
113. Midpoint(E_1, F_1) → D_2
114. Midpoint(F_1, U_1) → E_2
115. Midpoint(O, U) → G_2
116. Midpoint(U, T) → H_2
117. Midpoint(T, S) → I_2
118. Midpoint(S, R) → J_2
119. Midpoint(I_1, J_1) → K_2
120. Midpoint(J_1, K_1) → N_2
121. Midpoint(K_1, L_1) → O_2
122. Midpoint(L_1, V_1) → P_2
123. Midpoint(F, N) → Q_2
124. Midpoint(N, L) → R_2
125. Midpoint(L, M) → S_2
126. Midpoint(M, K) → T_2
127. Midpoint(P_1, O_1) → U_2
128. Midpoint(O_1, N_1) → V_2
129. Midpoint(N_1, M_1) → W_2
130. Midpoint(M_1, W_1) → Z_2
131. Midpoint(V, C_1) → A_3
132. Midpoint(C_1, Z) → B_3
133. Midpoint(Z, D_1) → C_3
134. Midpoint(D_1, W) → D_3