单位圆上的三角函数比可视化

GeoGebra 命令及参数

1. Intersect(xAxis, yAxis) → A
2. Function(0, 1.9, 5.5) → g
3. Point(g) → Q
4. Point(yAxis) → B
5. Circle(A, B) → c
6. Point(c) → D
7. Tangent(D, c) → e,
8. Intersect(e, yAxis) → F
9. Intersect(xAxis, e) → E
10. Segment(F, E) → l
11. Segment(E, A) → m
12. Intersect(m, l) → O
13. Intersect(c, xAxis, 2) → C
14. Segment(A, C) → d
15. Segment(A, E) → secα
16. OrthogonalLine(D, d) → f
17. Intersect(f, m) → H
18. Segment(A, H) → cosα
19. Angle(Q, A, D) → α
20. Segment(A, D) → b
21. Segment(F, D) → cotα
22. Segment(D, E) → tanα
23. Segment(A, F) → cscα
24. Segment(D, H) → sinα
25. OrthogonalLine(D, sinα) → i
26. Function(1 / sin(2 * (x - 2 * 3.14 / 3)), 2.09, 5.24) → cosecantα
27. Intersect(cosecantα, h, (2.520357270523917, 1.3263553394304515)) → G
28. Function(sin(2 * (x - 2 * 3.14 / 3)), 2.09, 5.24) → sineα
29. Intersect(sineα, h, (2.520357270523917, 0.7539457717487749)) → I
30. Function(tan(2 * (x - 2 * 3.14 / 3)), 2.09, 5.24) → tangentα
31. Intersect(tangentα, h, (2.520357270523917, 1.1476688992921722)) → J
32. Function(cos(2 * (x - 2 * 3.14 / 3)), 2.09, 5.24) → cosineα
33. Intersect(cosineα, h, (2.520357270523917, 0.6569366584855378)) → K
34. Function(1 / cos(2 * (x - 2 * 3.14 / 3)), 2.09, 5.24) → secantα
35. Intersect(secantα, h, (2.520357270523917, 1.5222167724744418)) → L
36. Function(1 / tan(2 * (x - 2 * 3.14 / 3)), 2.09, 5.24) → cotangentα
37. Intersect(cotangentα, h, (2.520357270523917, 0.8713314446498922)) → M
38. Segment(H, D) → j
39. Segment(A, F) → k
40. Intersect(j, m) → N
41. Intersect(k, l) → P
42. Function(1, 1.9, 5.5) → p
43. Function(-1, 1.9, 5.5) → q
44. Point(c) → R
45. Segment(C, R) → a