直角三角形三角比的动态可视化：正弦、余弦、正切

GeoGebra 命令及参数

1. Point(Ray[A, A + (1, 0)]) → B
2. Segment(A, B) → f
3. OrthogonalLine(B, f) → g
4. Rotate(B, (a * pi / 180), A) → B'
5. Angle(B, A, B') → α
6. Ray(A, B') → h
7. Circle(B, 2) → c
8. Intersect(c, g, 2) → C
9. Ray(B, C) → i
10. Intersect(h, i) → D
11. Segment(B, D) → j
12. Segment(A, D) → k
13. Polygon(A, B, D) → poly1, d, a_1, b
14. Rotate(B, If[0 < e ≤ 1, (-((e * (pi / 2 - α)))), α - pi / 2], D) → B'_1
15. Rotate(D, If[0 < e ≤ 1, (-((e * (pi / 2 - α)))), α - pi / 2], D) → D'
16. Segment(B'_1, D') → j'
17. Rotate(A, If[0 < l ≤ 1, (α * l), α], A) → A'
18. Rotate(B, If[0 < l ≤ 1, (α * l), α], A) → B'_2
19. Segment(A', B'_2) → f'
20. Rotate(B, If[0 < m ≤ 1, (m * pi / 2), pi / 2], B) → B'_3
21. Rotate(D, If[0 < m ≤ 1, (m * pi / 2), pi / 2], B) → D'_1
22. Segment(B'_3, D'_1) → j'_1
23. Textfield(a) → InputBox1
24. Angle(D, B, A) → β
25. Midpoint(A, D) → E
26. RotateText(text7, α) → text8
27. Midpoint(A', B'_2) → F
28. RotateText(text9, α) → text10
29. Point(Ray[G, G + (1, 0)]) → H
30. Segment(G, H) → t
31. Rotate(H, (a * pi / 180), G) → H'
32. Ray(G, H') → f_1
33. OrthogonalLine(H, t) → g_1
34. Intersect(g_1, f_1) → I
35. Polygon(G, H, I) → t1, i_1, g_2, h_1
36. Angle(H, G, I) → γ
37. Segment(H, I) → j_1
38. Rotate(H, If[0 < e ≤ 1, ((-e) * (pi / 2 - α)), (-(pi / 2 - α))], I) → H'_{1}
39. Rotate(I, If[0 < e ≤ 1, ((-e) * (pi / 2 - α)), (-(pi / 2 - α))], I) → I'
40. Segment(H'_{1}, I') → k_1
41. Rotate(G, If[0 < l ≤ 1, (l * α), α], G) → G'
42. Rotate(H, If[0 < l ≤ 1, (l * α), α], G) → H'_{2}
43. Segment(G', H'_{2}) → t'
44. Angle(I, H, G) → δ
45. Rotate(H, If[0 < m ≤ 1, (m * pi / 2), pi / 2], H) → H'_{3}
46. Rotate(I, If[0 < m ≤ 1, (m * pi / 2), pi / 2], H) → I'_{1}
47. Segment(H'_{3}, I'_{1}) → l_1