动画257：多几何元素与矩阵变换的综合动态演示

GeoGebra 命令及参数

1. Line(A, B) → f
2. Ray(A, B) → g
3. Point(g) → C
4. Ray(A, C) → h
5. Segment(A, C) → i
6. Slope(f) → m
7. PointIn(a) → D
8. Segment(A, D) → j
9. Line(D, i) → k
10. Point(k) → E
11. Ray(D, E) → l
12. Point(l) → F
13. Ray(D, F) → n
14. Segment(F, C) → p
15. Segment(D, F) → q
16. Min(j, i) → c
17. Circle(A, (0.2 * c)) → d
18. Intersect(d, j, 1) → G
19. Intersect(d, i, 1) → H
20. CircleSector(A, H, G) → e
21. Angle(C, A, D) → α
22. CircleSector(A, G, H) → r
23. Dilate(A, If[0 < o ≤ 1, 1 - o, 0], C) → A'
24. Segment(A, A') → s
25. Dilate(F, If[0 < o ≤ 1, 1 - o, 0], D) → F'
26. Segment(F, F') → t
27. Dilate(A, If[1 < o ≤ 2, 2 - o, 0], D) → A'_1
28. Segment(A, A'_1) → f_1
29. Ray(A, D) → g_1
30. Point(g_1) → K
31. Dilate(A, If[2 < o ≤ 3, 3 - o, 0], D) → A'_2
32. Vector(A, A'_2) → u
33. Translate(e, u) → e'
34. Polygon(A, C, F, D) → poly1, a_1, c_1, f_2, d_1
35. Translate(r, u) → r'
36. Dilate(C, If[1 < o ≤ 2, 2 - o, 0], F) → C'_3
37. Segment(C, C'_3) → i_1
38. Line(C, F) → j_1
39. Line(A, D) → k_1
40. Segment(A, F) → h_1
41. Segment(D, C) → l_1
42. Intersect(h_1, l_1) → I
43. Point(k_1) → J
44. Angle(F, D, J) → β
45. Point(j_1) → L
46. Angle(L, F, D) → γ
47. Rotate(J, (-(β / 2)), D) → J'
48. Angle(J', D, J) → ε
49. Ray(D, J') → m_1
50. Rotate(L, γ / 2, F) → L'
51. Angle(L, F, L') → δ
52. Ray(F, L') → n_1
53. Intersect(m_1, n_1) → M
54. OrthogonalLine(M, j_1) → p_1
55. OrthogonalLine(M, t) → q_1
56. OrthogonalLine(M, k_1) → r_1
57. Intersect(j_1, p_1) → N
58. Intersect(q_1, t) → O
59. Intersect(r_1, k_1) → P
60. Circle(M, N) → e_1
61. Point(k_1) → Q
62. Point(j_1) → R
63. Angle(Q, A, C) → ζ
64. Angle(A, C, R) → κ_1
65. Rotate(Q, ζ / 2, A) → Q'
66. Angle(Q, A, Q') → θ
67. Rotate(R, (-(κ_1 / 2)), C) → R'
68. Angle(R', C, R) → η
69. Ray(C, R') → s_1
70. Ray(A, Q') → t_1
71. Intersect(s_1, t_1) → S
72. OrthogonalLine(S, j_1) → b_1
73. OrthogonalLine(S, k_1) → g_2
74. OrthogonalLine(S, s) → h_2
75. Intersect(j_1, b_1) → T
76. Intersect(h_2, s) → U
77. Intersect(g_2, k_1) → V
78. Circle(S, T) → c_2
79. Segment(O, U) → i_2
80. Intersect(j_1, k_1) → W
81. Dilate(D, If[3 < o ≤ 4, 4 - o, 0], M) → D'
82. Dilate(F, If[3 < o ≤ 4, 4 - o, 0], M) → F'_1
83. Segment(D, D') → j_2
84. Segment(F, F'_1) → k_2
85. Circle(D, Radius[d]) → d_2
86. Circle(F, Radius[d]) → e_2
87. Intersect(e_2, n_1) → Z,
88. Intersect(d_2, m_1) → B_1,
89. Intersect(d_2, t) → C_1,
90. CircleSector(D, C_1, B_1) → q_2
91. Intersect(e_2, j_1) → D_1, E_1
92. CircleSector(F, E_1, Z) → p_2
93. Rotate(p_2, If[4.5 < o ≤ 5.5, ((o - 4.5) * δ), δ], F) → r_2
94. Rotate(q_2, If[5.5 < o ≤ 6.5, ((o - 5.5) * ε), ε], D) → s_2
95. Circle(C, Radius[d]) → t_2
96. Intersect(d, t_1) → F_1,
97. Intersect(d, s) → G_1,
98. Intersect(t_2, s_1, 1) → A_1
99. Intersect(t_2, s) → H_1,
100. CircleSector(A, F_1, G_1) → c_3
101. CircleSector(C, H_1, A_1) → d_3
102. Angle(F_1, A, G_1) → κ
103. Angle(H_1, C, A_1) → λ
104. Dilate(A, If[6.5 < o ≤ 7.5, 7.5 - o, 0], S) → A'_3
105. Dilate(C, If[6.5 < o ≤ 7.5, 7.5 - o, 0], S) → C'
106. Segment(A, A'_3) → l_2
107. Segment(C, C') → m_2
108. Rotate(c_3, If[8 < o ≤ 9, ((-(o - 8)) * κ), (-κ)], A) → e_3
109. Rotate(d_3, If[9 < o ≤ 10, ((o - 9) * λ), λ], C) → f_3
110. Dilate(S, If[10 < o ≤ 11, 11 - o, 0], U) → S'
111. Dilate(M, If[10 < o ≤ 11, 11 - o, 0], O) → M'
112. Segment(S, S') → n_2
113. Segment(M, M') → a_2
114. Angle(M, O, D) → ι
115. Angle(A, U, S) → μ
116. Rotate(O, If[11 < o ≤ 13, ((o - 11) * π), (2 * π)], M) → O'
117. Rotate(U, If[11 < o ≤ 13, ((o - 11) * π), (2 * π)], S) → U'
118. CircleArc(M, O, O') → g_3
119. CircleArc(S, U, U') → h_3
120. Dilate(A, If[13 < o ≤ 14, 14 - o, 0], F) → A'_4
121. Segment(A, A'_4) → b_2
122. Dilate(C, If[14 < o ≤ 15, 15 - o, 0], I) → C'_1
123. Segment(C, C'_1) → i_3
124. Dilate(I, If[15 < o ≤ 16, 16 - o, 0], D) → I'
125. Segment(I, I') → j_3
126. Dilate(U, If[16.5 < o ≤ 17.5, 17.5 - o, 0], I) → U'_1
127. Segment(U, U'_1) → k_3
128. Dilate(I, If[17.5 < o ≤ 18.5, 18.5 - o, 0], O) → I'_1
129. Segment(I, I'_1) → l_3