圆定理综合演示：圆周角、切线、相交弦与多边形关系

GeoGebra 命令及参数

1. Point(yAxis) → A
2. Point(yAxis) → B
3. Circle(A, B) → c
4. Point(c) → C
5. Line(C, A) → f
6. Intersect(c, f) → D, E
7. Segment(E, C) → g
8. Point(c) → F
9. Segment(C, F) → h
10. Segment(E, F) → i
11. Angle(E, F, C) → α
12. Circle(G, H) → d
13. Point(d) → I
14. Line(G, I) → j
15. OrthogonalLine(I, j) → k
16. Point(k) → J
17. Point(k) → K
18. Segment(J, K) → l
19. Segment(G, I) → m
20. Point(l) → L
21. Polygon(I, G, L) → t1, l_1, i_1, g_1
22. Angle(t1) → β, γ, δ
23. Circle(M, N) → e
24. Point(e) → O
25. Point(e) → P
26. Point(e) → Q
27. Segment(O, P) → n
28. Segment(M, P) → p
29. Segment(M, Q) → q
30. Segment(Q, O) → r
31. Angle(P, M, Q) → ε
32. Angle(P, O, Q) → ζ
33. Point(yAxis) → R
34. Point(yAxis) → S
35. Circle(R, S) → s
36. Point(s) → T
37. Point(s) → U
38. Point(s) → V
39. Point(s) → W
40. Point(s) → Z
41. Segment(U, Z) → t
42. Segment(Z, W) → a
43. Segment(W, U) → b
44. Segment(U, V) → f_1
45. Segment(V, W) → h_1
46. Segment(W, T) → j_1
47. Segment(T, U) → k_1
48. Angle(U, T, W) → η
49. Angle(U, Z, W) → θ
50. Angle(U, V, W) → ι
51. Circle(A_1, B_1) → c_1
52. Point(c_1) → C_1
53. Point(c_1) → D_1
54. Point(c_1) → E_1
55. Line(A_1, C_1) → m_1
56. OrthogonalLine(C_1, m_1) → n_1
57. Point(n_1) → F_1
58. Point(n_1) → G_1
59. Segment(F_1, G_1) → p_1
60. Segment(C_1, D_1) → q_1
61. Segment(D_1, E_1) → r_1
62. Segment(E_1, C_1) → s_1
63. Segment(C_1, F_1) → t_1
64. Angle(E_1, D_1, C_1) → κ
65. Angle(E_1, C_1, F_1) → λ
66. Angle(C_1, E_1, D_1) → μ
67. Angle(p_1, q_1) → ν
68. Circle(H_1, I_1) → d_1
69. Tangent(J_1, d_1) → a_1, b_1
70. Intersect(d_1, b_1) → K_1
71. Intersect(d_1, a_1) → L_1
72. Intersect(d_1, a_1, 1) → M_1
73. Intersect(a_1, b_1) → N_1
74. Intersect(d_1, b_1, 1) → O_1
75. Intersect(a_1, b_1) → P_1
76. Segment(J_1, K_1) → e_1
77. Segment(J_1, L_1) → f_2
78. Circle(Q_1, R_1) → c_2
79. Point(c_2) → S_1
80. Point(c_2) → T_1
81. Point(c_2) → U_1
82. Point(c_2) → V_1
83. Polygon(S_1, T_1, U_1, V_1) → q1, s_2, t_2, u_1, v_1
84. Angle(q1) → ο, ρ, σ, τ