使用三角形探索正弦、余弦和正切

GeoGebra 命令及参数

1. Textfield(a_3) → inputBox1
2. Textfield(b) → inputBox2
3. Line(A, B_1) → d
4. Circle(A, a_3) → e
5. Intersect(e, d, 2) → D
6. OrthogonalLine(D, d) → f
7. Circle(D, b) → g
8. Intersect(g, f, 2) → B
9. Circle(D, b^(2) / a_3) → c
10. Intersect(c, d, 2) → C
11. Segment(A, B) → h
12. Segment(B, C) → i
13. Segment(A, C) → j
14. Segment(B, D) → k
15. Polygon(A, D, B) → poly1, d_1, a_1, c_1
16. Circle(F, a_3) → p
17. Point(p) → H
18. Segment(F, H) → l
19. Segment(A, B) → m
20. Circle(F, m) → q
21. Circle(H, b) → r
22. Intersect(q, r, 1) → I
23. Segment(F, I) → n
24. Segment(I, H) → s
25. Segment(D, C) → b_1
26. Segment(A, C) → l_1
27. Segment(D, C) → m_1
28. Line(F, H) → t
29. Circle(H, 1) → e_1
30. Intersect(e_1, t, 2) → J
31. Circle(J, k) → f_1
32. Intersect(f_1, t, 2) → K
33. Circle(J, i) → g_1
34. OrthogonalLine(K, t) → h_1
35. Intersect(g_1, h_1, 2) → L
36. Segment(J, L) → i_1
37. Segment(L, K) → j_1
38. Segment(K, J) → k_1
39. Circle(K, 1) → p_1
40. Intersect(p_1, t, 2) → N
41. Circle(N, h) → q_1
42. Intersect(q_1, t, 2) → B_3
43. OrthogonalLine(B_3, t) → n_1
44. Circle(N, j) → r_1
45. Intersect(r_1, n_1, 2) → P
46. Segment(N, P) → s_1
47. Segment(P, B_3) → t_1
48. Segment(B_3, N) → a_2
49. Polygon(I, H, F) → poly2, f_2, i_2, h_2
50. Polygon(B, C, D) → poly3, c_2, d_2, e_2
51. Polygon(L, K, J) → poly4, j_2, l_2, k_2
52. Angle(B, D, A) → α
53. Angle(A, B, C) → β
54. Segment(A, D) → a
55. Segment(F, H) → a_5
56. Segment(I, H) → b_2
57. Segment(J, K) → g_2
58. Segment(J, K) → m_2
59. Segment(B, D) → n_2
60. Angle(I, H, F) → γ
61. Angle(L, K, J) → δ
62. Angle(P, B_3, N) → ε
63. Angle(H, F, I) → ζ
64. Angle(K, J, L) → η
65. Angle(B_3, N, P) → θ