棱锥几何构造与三角函数演示

GeoGebra 命令及参数

1. Polygon(A, B, C) → t1, c, a, b
2. OrthogonalLine(C, b) → f
3. Circle(C, 1) → d
4. Intersect(d, f, 1) → D
5. Segment(A, D) → g
6. OrthogonalLine(D, g) → h
7. Circle(D, 1) → e
8. Intersect(e, h, 2) → E
9. Segment(A, E) → i
10. OrthogonalLine(E, i) → j
11. Circle(E, 1) → k
12. Segment(C, D) → m_2
13. Segment(D, E) → n_2
14. Angle(C, B, A) → α
15. Angle(D, C, A) → β
16. Angle(E, D, A) → γ
17. Segment(A, B) → l_3
18. Segment(C, B) → m_3
19. Segment(C, A) → n_3
20. RotateText(text1_{1}, atand(Slope[n_3])) → text2
21. RotateText(text3, atand(Slope[g])) → text4
22. Rotate(D, If[0 < o ≤ 1, ((-o) * pi / 3), ((-pi)) / 3], E) → D'
23. Rotate(E, If[0 < o ≤ 1, ((-o) * pi / 3), ((-pi)) / 3], E) → E'
24. Segment(D', E') → p_3
25. Rotate(D', If[1 < o ≤ 2, ((-(o - 1)) * pi), (-pi)], D') → D''
26. Rotate(E', If[1 < o ≤ 2, ((-(o - 1)) * pi), pi], D') → E''
27. Segment(D'', E'') → q_3
28. Polygon(A, B, C) → t2, c_4, a_4, b_4
29. Polygon(A, C, D) → t3, d_4, a_5, c_5
30. Polygon(A, D, E) → t4, e_4, a_6, d_5
31. Circle(A, Distance[A, C]) → k_4