正弦定理与面积交互探究

GeoGebra 命令及参数

1. Polygon(A, B, C) → poly1, c_2, a, b_3
2. Midpoint(b_3) → D
3. Rotate(A, α, D) → A'
4. Rotate(B, α, D) → B'
5. Rotate(C, α, D) → C'
6. Polygon(A', B', C') → poly1', c', a', b'
7. Segment(A, D) → i
8. Segment(D, C) → j
9. Segment(C, B) → k
10. Segment(B, A) → l
11. Segment(A', B') → g
12. Segment(B', C') → m
13. Line(B, C) → f
14. Line(B, A) → h_1
15. Line(A, C) → n
16. OrthogonalLine(A, f) → p
17. OrthogonalLine(B, n) → q
18. OrthogonalLine(C, h_1) → r
19. Intersect(f, p) → E
20. Intersect(n, q) → F
21. Intersect(h_1, r) → G
22. Dilate(A, If[0 < d ≤ 1, 1 - d, 0], E) → A'_1
23. Segment(A, A'_1) → height
24. Polygon(B, E, A) → poly2, a_1, b_1, e
25. Polygon(E, A, C) → poly3, c_1, e_1, a_2
26. Angle(A, E, B) → β
27. Polygon(B, E, A) → poly4, a_3, b_2, e_2
28. Dilate(B, If[0 < d ≤ 1, 1 - d, 0], E) → B'_1
29. Dilate(B, If[0 < d ≤ 1, 1 - d, 0], A) → B'_2
30. Segment(B, B'_1) → h
31. Segment(B, B'_2) → c
32. Segment(A, C) → b