外接圆与四边形动画演示

GeoGebra 命令及参数

1. Circle(A, B) → c
2. Point(c) → C
3. Line(C, A) → a
4. Intersect(c, a, 2) → D
5. CircleArc(A, C, D) → d
6. CircleArc(A, D, C) → e
7. Point(e) → E
8. Segment(C, D) → h
9. Dilate(C, If[0 < b ≤ 1, 1 - b, 0], A) → C'
10. Segment(C, C') → i
11. Dilate(A, If[1 < b ≤ 2, 2 - b, 0], D) → A'
12. Segment(A, A') → j
13. Rotate(C, If[2 < b ≤ 3, ((-(b - 2)) * π), (-π)], A) → C'_1
14. Rotate(C', If[2 < b ≤ 3, ((-(b - 2)) * π), (-π)], A) → C''
15. Segment(C'_1, C'') → i'
16. Rotate(C, If[3 < b ≤ 4, ((b - 3) * π), π], A) → C'_2
17. CircleArc(A, C, C'_2) → k
18. Dilate(D, If[5 < b ≤ 6, 6 - b, 0], E) → D'
19. Segment(D, D') → f
20. Ray(D, E) → g
21. Point(g) → F
22. Ray(E, F) → l
23. Dilate(C, If[5 < b ≤ 6, 6 - b, 0], E) → C'_3
24. Segment(C, C'_3) → m
25. Min({m, f}) → n
26. Circle(E, (0.2 * n)) → p
27. Intersect(p, l) → G,
28. Intersect(c, m, 1) → H
29. Intersect(p, m) → I,
30. CircleSector(E, G, I) → q
31. Rotate(q, If[6.5 < b ≤ 7.5, ((b - 6.5) * π / 2), π / 2], E) → q'
32. Point(cc) → J
33. Line(C, D) → r
34. OrthogonalLine(J, r) → s
35. Intersect(s, r) → K
36. Line(C, E) → t
37. OrthogonalLine(J, t) → f_1
38. Intersect(t, f_1) → L
39. Line(K, L) → g_1
40. Line(J, E) → h_1
41. Intersect(g_1, h_1) → M
42. Angle(A, M, J) → α
43. Line(A, M) → i_1
44. Circle(C, 1) → c_1
45. Circle(E, 1) → d_1
46. Intersect(d_1, t, 2) → N
47. Intersect(c_1, t, 1) → O
48. Ray(E, N) → j_1
49. Ray(C, O) → k_1
50. Dilate(J, If[8 < b ≤ 9, 9 - b, 0], K) → J'
51. Segment(J, J') → l_1
52. Dilate(E, If[9 < b ≤ 10, 10 - b, 0], K) → E'
53. Vector(E, E') → u
54. Translate(q', u) → q''
55. Line(E, r) → m_1
56. Point(m_1) → P
57. Angle(D, E, P) → β
58. Rotate(q'', If[10 < b ≤ 11, ((b - 10) * β), β], K) → q'''
59. Mirror(J, r) → J'_1
60. Dilate(K, If[9 < b ≤ 10, 10 - b, 0], J'_1) → K'
61. Segment(K, K') → n_1
62. Dilate(J, If[11 < b ≤ 12, 12 - b, 0], L) → J'_2
63. Segment(J, J'_2) → p_1
64. Dilate(E, If[12 < b ≤ 13, 13 - b, 0], L) → E'_1
65. Vector(E, E'_1) → v
66. Translate(q', v) → q''_1
67. Dilate(J, If[13 < b ≤ 14, 14 - b, 0], E) → J'_3
68. Segment(J, J'_3) → q_1
69. Dilate(K, If[14 < b ≤ 15, 15 - b, 0], M) → K'_1
70. Segment(K, K'_1) → r_1
71. Dilate(M, If[15 < b ≤ 16, 16 - b, 0], L) → M'
72. Segment(M, M') → s_1
73. Circle(A, 1) → e_1
74. Circle(M, 1) → t_1
75. Intersect(t_1, c, 1) → Q
76. Intersect(t_1, i_1) → R, S
77. Intersect(e_1, i_1) → T, U
78. Dilate(A, If[16 < b ≤ 17, 17 - b, 0], M) → A'_1
79. Segment(A, A'_1) → a_1
80. Ray(M, S) → b_1
81. Ray(A, T) → f_2
82. Dilate(E, If[17 < b ≤ 18, 18 - b, 0], M) → E'_2
83. Vector(E, E'_2) → w
84. Translate(q', w) → q''_2
85. Line(E, f_2) → g_2
86. Point(g_2) → V
87. Angle(V, E, L) → δ
88. Rotate(q''_2, If[18 < b ≤ 19, ((-(b - 18)) * δ), (-δ)], M) → c_2
89. Polygon(C, D, E) → poly1, e_2, c_3, d_2
90. CircleArc(A, E, C) → h_2
91. CircleArc(A, D, E) → k_2
92. CircleArc(A, C, D) → p_2
93. Polygon(C, D, E) → poly2, e_3, c_4, d_3
94. Circle(C, 1) → q_2
95. Circle(D, 1) → r_2
96. Intersect(r_2, a) → A_1, B_1
97. Ray(D, B_1) → i_2