三角函数比值探索：直角三角形中的正弦、余弦与正切

GeoGebra 命令及参数

1. Segment(A, B) → f
2. OrthogonalLine(B, f) → g
3. Point(g) → C
4. Segment(B, C) → h
5. Segment(A, C) → i
6. Angle(C, A, B) → α
7. Angle(C, B, A) → β
8. Distance(A, B) → distanceAB
9. Midpoint(A, B) →
10. Distance(B, C) → distanceBC
11. Midpoint(B, C) →
12. Distance(A, C) → distanceAC
13. Midpoint(A, C) →
14. Segment(A_1, B_1) → f_1
15. OrthogonalLine(B_1, f_1) → g_1
16. Point(g_1) → C_1
17. Segment(B_1, C_1) → h_1
18. Segment(A_1, C_1) → i_1
19. Angle(C_1, A_1, B_1) → α_1
20. Angle(C_1, B_1, A_1) → β_1
21. Distance(A_1, B_1) → distanceAB_1
22. Distance(B_1, C_1) → distanceBC_1
23. Distance(A_1, C_1) → distanceAC_1
24. Segment(A_2, B_2) → f_2
25. OrthogonalLine(B_2, f_2) → g_2
26. Point(g_2) → C_2
27. Segment(B_2, C_2) → h_3
28. Segment(A_2, C_2) → i_3
29. Angle(C_2, A_2, B_2) → α_3
30. Angle(C_2, B_2, A_2) → β_3
31. Distance(A_2, B_2) → distanceAB_3
32. Distance(B_2, C_2) → distanceBC_2
33. Distance(A_2, C_2) → distanceAC_2
34. Segment(A_3, B_3) → f_3
35. OrthogonalLine(B_3, f_3) → g_3
36. Point(g_3) → C_3
37. Segment(B_3, C_3) → h_2
38. Segment(A_3, C_3) → i_2
39. Angle(C_3, A_3, B_3) → α_2
40. Angle(C_3, B_3, A_3) → β_2
41. Distance(A_3, B_3) → distanceAB_2
42. Distance(B_3, C_3) → distanceBC_3
43. Distance(A_3, C_3) → distanceAC_3