四边形内角的几何可视化与角度关系演示

GeoGebra 命令及参数

1. Point(Ray[B + (1, 0), B + (2, 0)]) → A
2. Rotate(A, (a * π / 180), B) → A'
3. Angle(A, B, A') → α
4. Ray(B, A') → f
5. Segment(B, A) → g
6. Point(f) → C
7. Angle(B, C, A) → β
8. Rotate(B, γ, C) → B'
9. Angle(B, C, B') → δ
10. Ray(C, B') → h
11. Point(h) → D
12. Ray(D, A) → i
13. Segment(A, B) → j
14. Segment(B, C) → k
15. Segment(C, D) → l
16. Segment(D, A) → m
17. Min({j, k, l, m}) → b
18. Ray(A, B) → n
19. Ray(B, C) → p
20. Circle(B, (0.3 * b)) → c
21. Intersect(c, n, 2) → E
22. Intersect(c, p, 1) → F
23. Circle(C, (0.3 * b)) → d
24. Circle(D, (0.3 * b)) → e
25. Circle(A, (0.3 * b)) → q
26. Intersect(d, h, 1) → G
27. Intersect(d, p, 2) → H
28. Intersect(e, i, 1) → I
29. Intersect(e, h, 2) → J
30. Intersect(q, n, 1) → K
31. Intersect(q, i, 2) → L
32. Angle(C, D, A) → ε
33. Line(B, A) → f_1
34. Dilate(A, If[0 < u ≤ 1, 1 - u, 0], B) → A'_1
35. Vector(A, A'_1) → v
36. Dilate(B, If[1 < u ≤ 2, 2 - u, 0], C) → B'_1
37. Vector(B, B'_1) → w
38. Dilate(C, If[2 < u ≤ 3, 3 - u, 0], D) → C'
39. Vector(C, C') → u_1
40. Polygon(B, A, D, C) → poly1, b_1, a_1, d_2, c_2
41. Intersect(c, n, 1) → M
42. Intersect(c, p, 1) → N
43. Intersect(d, p, 1) → O
44. Intersect(d, h, 1) → P
45. Intersect(e, h, 1) → Q
46. Intersect(e, i, 1) → R
47. Intersect(q, i, 1) → S
48. Intersect(q, n, 1) → T
49. CircleSector(B, M, N) → r
50. CircleSector(C, O, P) → s
51. CircleSector(D, Q, R) → t
52. CircleSector(A, S, T) → c_1
53. Angle(B, C, D) → ζ
54. Angle(D, A, B) → η
55. Circle(V, (0.3 * b)) → d_1
56. Circle(W, (0.3 * b)) → e_1
57. Circle(Z, (0.3 * b)) → g_1
58. Circle(A_1, (0.3 * b)) → h_1
59. Point(d_1) → B_1
60. Point(h_1) → C_1
61. Rotate(B_1, α, V) → D_1
62. Rotate(C_1, (-η), A_1) → E_1
63. CircleSector(V, B_1, D_1) → k_1
64. CircleSector(A_1, E_1, C_1) → p_1
65. Segment(N, O) → i_1
66. Segment(P, Q) → j_1
67. Segment(R, S) → l_1
68. Segment(T, M) → m_1
69. Point(e_1) → U
70. Point(g_1) → F_1
71. Line(Z, l_1) → n_1
72. Ray(Z, F_1) → q_1
73. Point(n_1) → G_1
74. Angle(F_1, Z, G_1) → θ
75. Dilate(D, If[0 < o_1 ≤ 1, 1 - o_1, 0], Z) → D'
76. Vector(D, D') → v_1
77. Translate(t, v_1) → t'
78. Rotate(t', If[0 < o_1 ≤ 1, ((-o_1) * θ), (-θ)], D') → t''
79. Dilate(C, If[1 < o_1 ≤ 2, 2 - o_1, 0], W) → C'_1
80. Vector(C, C'_1) → w_1
81. Translate(s, w_1) → s'
82. Line(W, j_1) → r_1
83. Point(r_1) → H_1
84. Angle(H_1, W, U) → λ
85. Rotate(s', If[1 < o_1 ≤ 2, ((o_1 - 1) * λ), λ], C'_1) → s'_1
86. Point(s_1) → I_1
87. Angle(D, C, I_1) → ι
88. Line(C, D) → g_2
89. Point(f_2) → J_1
90. Angle(J_1, D, C) → κ
91. Angle(C, D, A) → μ
92. CurveCartesian(x(A) + ((0.3 * b) * cos(t)), y(A) + ((0.3 * b) * sin(t)), t, π - η, π) → a_2
93. CurveCartesian(x(C) + ((0.3 * b) * cos(t)), y(C) + ((0.3 * b) * sin(t)), t, α + π, α + π + δ) → b_2
94. CurveCartesian(x(B) + ((0.3 * b) * cos(t)), y(B) + ((0.3 * b) * sin(t)), t, 0, α) → t_1
95. CurveCartesian(x(D) + ((0.3 * b) * cos(t)), y(D) + ((0.3 * b) * sin(t)), t, κ, κ + μ) → e_2