单位圆与正弦余弦函数动态演示

GeoGebra 命令及参数

1. Rotate(A, ((a * 2) * pi), (0, 0)) → A'
2. OrthogonalLine(A', xAxis) → f
3. Intersect(f, xAxis) → B
4. Vector(B, A') → u
5. Dilate(D, If[0 < a ≤ 1, 1 - a, 0], C) → D'
6. Vector(D', E) → v
7. Dilate(B, If[0 < b ≤ 1, 1 - b, 0], D') → B'
8. Vector(B, B') → w
9. Translate(A', w) → A''
10. Vector(B', A'') → d
11. Angle(A, F, A') → θ
12. Segment(F, A') → k
13. CircleArc(F, A, A') → q
14. Dilate(A, If[1 < b ≤ 2, 2 - b, 0], D) → A'_1
15. Vector(A, A'_1) → e
16. Dilate(D, If[2 < b ≤ 3, 3 - b, 0], B') → D'_1
17. Vector(D, D'_1) → m
18. Circle(D'_1, 1) → r
19. Dilate(D, If[3 < b ≤ 4, 4 - b, 0], D') → D'_2
20. Dilate(D, If[1 < b ≤ 2, 2 - b, 0], A) → D'_3
21. Vector(D, D'_3) → n
22. Translate(D, n) → D'_4
23. Vector(H, A') → s
24. Dilate(H, If[0 < b ≤ 1, 1 - b, 0], D') → H'
25. Vector(H, H') → u_1
26. Translate(s, u_1) → s'
27. Translate(A', u_1) → A''_1
28. Vector(H', A''_1) → v_1
29. Rotate(A''_1, If[0 < b ≤ 1, (b * pi / 2), pi / 2], H') → I
30. Vector(H', I) → w_1
31. Rotate(A''_1, If[0 < b ≤ 1, ((-b) * pi / 2), ((-pi)) / 2], H') → J
32. Intersect(p, i, (1.5, 0)) → K
33. OrthogonalLine(K, i) → h_1
34. Point(i) → L
35. Point(i) → M
36. Point(i) → N
37. Segment(K, M) → i_1
38. Segment(N, L) → j_1
39. Point(u) → O
40. Dilate(u, 2, O) → u'