正弦定理几何演示：三角形角度与边长关系构造

GeoGebra 命令及参数

1. Polygon(A, B, C) → t1, c, a, b
2. Angle(B, A, C) → α
3. Angle(C, B, A) → β
4. Angle(A, C, B) → γ
5. Random(1, 3) → randSide
6. Random(1, 3) → randAngle
7. LaTeX(a, true, true) → text1
8. LaTeX(b, true, true) → text2
9. LaTeX(c, true, true) → text3
10. LaTeX(α, true, true) → text4
11. LaTeX(β, true, true) → text5
12. LaTeX(γ, true, true) → text6
13. Polygon(D, E, F, G) → q1, d_1, e_1, f_1, g_1
14. Segment(D, E) → j
15. Segment(E, F) → k
16. Segment(F, G) → l
17. Segment(G, D) → m
18. Midpoint(d_1) → H
19. Midpoint(d_1) → I
20. Midpoint(H, D) → J
21. Midpoint(H, E) → K
22. Midpoint(E, F) → L
23. Midpoint(F, G) → M
24. Midpoint(G, M) → N
25. Midpoint(M, F) → O
26. Midpoint(G, D) → P
27. Segment(P, L) → n
28. Segment(N, J) → p
29. Segment(H, M) → q
30. Segment(K, O) → r
31. Intersect(n, p) → Q
32. Intersect(n, q) → R
33. Segment(Q, R) → s
34. Intersect(n, r) → S
35. Polygon(D, J, Q, P) → squareA, d_2, j_1, q_1, p_1
36. Midpoint(J, H) → T
37. Midpoint(Q, R) → U
38. Midpoint(H, K) → V
39. Midpoint(R, S) → W
40. Polygon(T, V, W, U) → squareB, t, v, w, u
41. Polygon(K, E, L, S) → squareC, k_1, e_2, l_1, s_1
42. Polygon(G, P, Q, N) → squareSINA, g_2, p_2, q_2, n_1
43. Midpoint(M, N) → Z
44. Midpoint(O, M) → A_1
45. Polygon(U, W, A_1, Z) → squareSINB, u_1, w_1, a_1, z_1
46. Polygon(S, L, F, O) → squareSINC, s_2, l_2, f_2, o