黄金矩形：几何与比例的数学之美

GeoGebra 命令及参数

1. Segment(C, D) → f
2. Midpoint(f) → E
3. CircleArc(C, F, G) → c
4. Circle(D, Radius[c]) → d
5. Point(d) → H
6. Point(d) → I
7. CircleArc(D, H, I) → e
8. Intersect(c, e, 2) → J
9. Intersect(c, e, 1) → K
10. Segment(J, K) → g
11. OrthogonalLine(D, f) → h
12. Circle(D, E) → k
13. Intersect(k, h, 2) → L
14. CircleArc(D, L, E) → p
15. Segment(D, L) → i
16. Angle(L, D, E) → α
17. Segment(C, L) → j
18. Circle(L, D) → q
19. Point(q) → M
20. CircleArc(L, M, D) → r
21. OrthogonalLine(C, f) → l
22. Intersect(r, j, 1) → N
23. CircleArc(C, N, O) → s
24. Intersect(s, l, 1) → P
25. OrthogonalLine(P, l) → m
26. Intersect(h, m) → Q
27. Segment(P, Q) → n
28. Segment(Q, D) → t
29. Segment(D, C) → a
30. Segment(C, P) → b
31. Circle(C, P) → c_1
32. Intersect(c_1, f, 1) → R
33. CircleArc(C, R, N) → d_1
34. OrthogonalLine(R, f) → f_1
35. Intersect(f_1, n) → S
36. Segment(R, S) → g_1
37. CircleArc(S, P, R) → e_1
38. Circle(D, R) → h_1
39. Intersect(h_1, i, 1) → T
40. CircleArc(D, T, R) → k_1
41. OrthogonalLine(T, i) → i_1
42. Intersect(i_1, g_1) → U
43. Segment(U, T) → j_1
44. CircleArc(U, R, T) → p_1
45. Circle(Q, T) → q_1
46. Intersect(q_1, n, 1) → V
47. OrthogonalLine(V, n) → l_1
48. Intersect(l_1, j) → W
49. Segment(V, W) → m_1
50. CircleArc(Q, V, T) → r_1
51. CircleArc(W, T, V) → s_1
52. Circle(V, S) → t_1
53. Intersect(t_1, m_1, 1) → Z
54. Circle(S, V) → k_2
55. Intersect(k_2, g_1, 1) → D_1
56. CircleArc(S, D_1, V) → p_2
57. CircleArc(V, S, Z) → c_2
58. OrthogonalLine(Z, m_1) → n_1
59. Intersect(n_1, g_1) → A_1
60. Segment(A_1, Z) → a_1
61. CircleArc(Z, V, A_1) → d_2
62. Circle(U, A_1) → e_2
63. Intersect(e_2, j_1, 1) → B_1
64. CircleArc(U, B_1, A_1) → f_2
65. OrthogonalLine(B_1, j_1) → b_1
66. Intersect(b_1, a_1) → C_1
67. Segment(B_1, C_1) → g_2
68. CircleArc(C_1, A_1, B_1) → h_2