什么是弧度？——探索性学生研究

GeoGebra 命令及参数

1. Ray((0, 0), (1, 0)) → i
2. Intersect(f, eq1, 1) → B
3. Intersect(g, eq1, 1) → C
4. Intersect(h, eq1, 1) → D
5. Intersect(p, eq1, 1) → E
6. Intersect(q, eq1, 1) → F
7. Intersect(s, eq1, 1) → G
8. Intersect(eq1, i, 1) → H
9. Rotate(A, π / 2, B) → A'
10. CircleArc(B, A, A') → c
11. Point(c) → I
12. Segment(B, I) → j
13. CircleArc(A, H, B) → d
14. Point(d) → J
15. Line(A, J) → k
16. OrthogonalLine(J, k) → l
17. CircleArc(A, J, B) → e
18. Circle(J, r - e) → t
19. Intersect(t, l, 1) → K
20. Segment(J, K) → m
21. Circle(L, r) → c_1
22. Point(c_1) → M
23. Rotate(M, 1, L) → M'
24. CircleArc(L, M, M') → d_1
25. Segment(L, M) → n
26. Segment(L, M') → a
27. Angle(M, L, M') → α
28. Angle(A, B, I) → β
29. Segment(A, H) → b
30. Segment(A, B) → f_1
31. Angle(J, A, B) → γ
32. Circle(N, r) → e_1
33. Circle(O, r) → g_1
34. Circle(P, r) → h_1
35. Circle(Q, r) → k_1
36. Circle(R, r) → p_1
37. Point(p_1) → S
38. Point(h_1) → T
39. Point(k_1) → U
40. Point(g_1) → V
41. Point(e_1) → W
42. Rotate(U, (1 * rad), Q) → U'
43. Rotate(V, (1 * rad), O) → V'
44. Rotate(S, (1 * rad), R) → S'
45. Rotate(T, (1 * rad), P) → T'
46. Rotate(W, (1 * rad), N) → W'
47. CircleArc(Q, U, U') → q_1
48. CircleArc(O, V, V') → r_1
49. CircleArc(R, S, S') → s_1
50. CircleArc(P, T, T') → t_1
51. CircleArc(N, W, W') → c_2
52. Angle(V, O, V') → δ
53. Angle(U, Q, U') → ε
54. Angle(W, N, W') → ζ
55. Angle(S, R, S') → η
56. Angle(T, P, T') → θ
57. Segment(R, S) → i_1
58. Segment(R, S') → j_1
59. Segment(P, T) → l_1
60. Segment(P, T') → m_1
61. Segment(N, W) → n_1
62. Segment(N, W') → a_1
63. Segment(Q, U) → b_1
64. Segment(Q, U') → f_2
65. Segment(O, V) → g_2
66. Segment(O, V') → h_2