反射与折射原理的 GeoGebra 演示

GeoGebra 命令及参数

1. Intersect(xAxis, yAxis) → B
2. Line(A_3, B) → a
3. OrthogonalLine(B, xAxis) → b
4. Point(b) → C
5. Angle(C, B, A_3) → α
6. OrthogonalLine(D, a) → c
7. Corner(1) → E
8. OrthogonalLine(E, xAxis) → d
9. Intersect(c, d) → F
10. Intersect(xAxis, c) → G
11. Ray(B, A_3) → f
12. OrthogonalLine(G, f) → g
13. OrthogonalLine(G, f) → h
14. Point(h) → I
15. Ray(G, I) → i
16. Point(xAxis) → A
17. Rotate(U, (45° * β_1), B) → U'
18. Point(i) → K
19. Point(xAxis) → J
20. Point(xAxis) → O
21. Point(xAxis) → P_3
22. Rotate(U, β_1, B) → U'_1
23. Angle(U, B, U'_1) → β
24. Ray(B, U'_1) → j
25. Line(G, j) → e
26. OrthogonalLine(G, e) → k
27. Point(k) → L
28. Ray(G, L) → l
29. Rotate(M, π / 2 - α, B) → M'
30. Angle(M, B, M') → δ
31. Line(B, M') → p
32. OrthogonalLine(G, p) → q
33. Point(q) → N
34. Ray(G, N) → r
35. OrthogonalLine(A, l) → s
36. Intersect(s, l) → Q
37. Circle(A, Q) → c_1
38. Intersect(c_1, xAxis) → R, S
39. CircleArc(A, R, S) → d_1
40. OrthogonalLine(A, r) → a_1
41. Intersect(r, a_1) → T
42. Circle(A, T) → e_1
43. Intersect(e_1, xAxis) → V, W
44. CircleArc(A, W, V) → f_1
45. Ray(B, M') → b_1
46. OrthogonalLine(O, l) → g_1
47. Intersect(g_1, l) → A_1
48. Circle(O, A_1) → h_1
49. Intersect(h_1, xAxis) → B_1, C_1
50. CircleArc(O, B_1, C_1) → k_1
51. OrthogonalLine(P_3, l) → i_1
52. Intersect(l, i_1) → D_1
53. Circle(P_3, D_1) → p_1
54. Intersect(p_1, xAxis) → E_1, F_1
55. CircleArc(P_3, E_1, F_1) → q_1
56. Point(xAxis) → G_1
57. OrthogonalLine(G_1, l) → j_1
58. Intersect(j_1, l) → H_1
59. Circle(G_1, H_1) → r_1
60. Intersect(r_1, xAxis) → I_1, J_1
61. CircleArc(G_1, I_1, J_1) → s_1
62. Point(xAxis) → K_1
63. OrthogonalLine(K_1, l) → l_1
64. Intersect(l, l_1) → L_1
65. Circle(K_1, L_1) → t_1
66. Intersect(t_1, xAxis) → M_1, N_1
67. CircleArc(K_1, M_1, N_1) → c_2
68. Intersect(j, l) → O_1
69. Circle(B, O_1) → d_2
70. Intersect(d_2, xAxis) → P_1, Q_1
71. CircleArc(B, P_1, Q_1) → e_2
72. Point(xAxis) → R_1
73. OrthogonalLine(R_1, l) → m_1
74. Intersect(m_1, l) → S_1
75. Circle(R_1, S_1) → f_2
76. Intersect(f_2, xAxis) → T_1, U_1
77. CircleArc(R_1, T_1, U_1) → g_2
78. Point(xAxis) → V_1
79. OrthogonalLine(V_1, l) → n_1
80. Intersect(l, n_1) → W_1
81. Circle(V_1, W_1) → h_2
82. Point(xAxis) → B_2
83. OrthogonalLine(B_2, l) → a_2
84. Intersect(l, a_2) → C_2
85. Circle(B_2, C_2) → p_2
86. Intersect(p_2, xAxis) → D_2, E_2
87. CircleArc(B_2, D_2, E_2) → q_2
88. OrthogonalLine(O, r) → b_2
89. Intersect(r, b_2) → F_2
90. Circle(O, F_2) → r_2
91. Intersect(r_2, xAxis) → G_2, H_2
92. CircleArc(O, H_2, G_2) → s_2
93. OrthogonalLine(P_3, r) → i_2
94. Intersect(r, i_2) → I_2
95. Circle(P_3, I_2) → t_2
96. Intersect(t_2, xAxis) → J_2, K_2
97. CircleArc(P_3, K_2, J_2) → c_3
98. OrthogonalLine(G_1, r) → j_2
99. Intersect(j_2, r) → L_2
100. Circle(G_1, L_2) → d_3
101. Intersect(d_3, xAxis) → M_2, N_2
102. CircleArc(G_1, N_2, M_2) → e_3
103. Intersect(b_1, r) → O_2
104. Circle(B, O_2) → f_3
105. Intersect(f_3, xAxis) → P_2, Q_2
106. CircleArc(B, Q_2, P_2) → g_3
107. OrthogonalLine(K_1, r) → l_2
108. Intersect(l_2, r) → R_2
109. Circle(K_1, R_2) → h_3
110. Intersect(h_3, xAxis) → S_2, T_2
111. CircleArc(K_1, T_2, S_2) → k_3
112. OrthogonalLine(R_1, r) → m_2
113. Intersect(m_2, r) → U_2
114. Circle(R_1, U_2) → p_3
115. Intersect(p_3, xAxis) → V_2, W_2
116. CircleArc(R_1, W_2, V_2) → q_3
117. OrthogonalLine(V_1, r) → n_3
118. Point(j) → C_3
119. Point(xAxis) → E_3
120. Polygon(I_3, G_3, H_3, F_3) → polígono1, i_3, g_4, h_4, f_4
121. OrthogonalLine(A_3, b) → b_3
122. Intersect(b_3, b_1) → D_3
123. Intersect(c, i) → N_3
124. Line(Corner[4], Corner[3]) → k_2
125. Intersect(i, k_2) → Z_1
126. Corner(4) → Z_2
127. Intersect(f_1, r, 1) → H
128. Vector(A, H) → v_1t
129. Intersect(d_1, l, 1) → P
130. Vector(A, P) → u