余弦定理可视化演示

GeoGebra 命令及参数

1. Line(B, A) → d
2. Polygon(B, A, 4) → poly4, r, s, t, a_1, K, L
3. Line(L, K) → b_1
4. Line(C, A) → e
5. OrthogonalLine(B, e) → g
6. Intersect(e, g) → F
7. Polygon(A, C, 4) → poly3, m, n, p, q, I, J
8. Line(I, J) → c_1
9. Intersect(g, c_1) → N
10. Polygon(A, F, N, J) → poly6, a_3, f_1, n_1, j_1
11. Polygon(C, I, N, F) → poly10, c_3, i_1, n_2, f_2
12. OrthogonalLine(C, d) → f
13. Intersect(d, f) → E
14. Intersect(f, b_1) → M
15. Polygon(A, E, M, K) → poly5, a_2, e_1, m_1, k_1
16. Polygon(B, E, M, L) → poly9, b_3, e_2, m_2, l_1
17. Polygon(C, B, 4) → poly2, i, j, k, l, G, H
18. Line(V, K_1) → t_2
19. Line(Z, D_1) → e_3
20. Intersect(t_2, e_3) → L_1
21. Polygon(A, B, C) → poly1, c, a, b
22. OrthogonalLine(A, a) → h
23. Intersect(h, a) → D
24. Intersect(h, k) → O
25. Polygon(D, C, H, O) → poly7, d_1, c_2, h_1, o_2
26. Polygon(D, O, G, B) → poly8, d_2, o_1, g_1, b_2
27. Segment(A, D) → p_1
28. Segment(C, E) → q_1
29. Segment(B, F) → r_1
30. Angle(B, A, C) → α
31. Segment(A, E) → s_1
32. Segment(A, F) → t_1
33. Ray(B, C) → g_2
34. Ray(C, B) → h_2
35. Rotate(C, (-((180° - setalpha) / 2)), C) → C'
36. Rotate(B, (-((180° - (2 * setalpha)) / 2)), C) → B'
37. Ray(C', B') → i_2
38. Rotate(B, (180° - (2 * setalpha)) / 2, B) → B'_1
39. Rotate(C, (180° - (2 * setalpha)) / 2, B) → C'_1
40. Ray(B'_1, C'_1) → j_2
41. Intersect(i_2, j_2) → P
42. Circle(P, C) → k_2
43. Ray(D, A) → l_2
44. Intersect(k_2, l_2) → Q,
45. Midpoint(B, C) → R
46. Circle(R, C) → p_2
47. Intersect(p_2, l_2) → S, C_1
48. Polygon(T, J_1, I_1, H_1) → poly16, t_3, j_3, i_4, h_4
49. Polygon(H_1, I_1, K_1, V) → poly11, h_3, i_3, k_3, v
50. Line(W, F_1) → l_3
51. Intersect(l_3, v) → M_1
52. Polygon(H_1, I_1, W, M_1) → poly15, h_5, i_5, w, m_3
53. Polygon(H_1, V, K_1, I_1) → poly17, n_3, p_3, q_3, r_3
54. Polygon(H_1, I_1, W, M_1) → poly18, h_6, i_6, w_1, m_4
55. Polygon(M_1, W, K_1, V) → poly19, m_5, w_2, k_4, v_1
56. Polygon(W, F_1, L_1, K_1) → poly20, q_2, r_2, s_2, f_3
57. Polygon(U, Z, B_1, A_1) → poly12, u_1, z, b_4, a_4
58. Polygon(A_1, B_1, N_1, G_1) → poly13, d_3, s_3, c_4, e_4
59. Polygon(K_1, G_1, N_1, D_1) → poly14, k_5, g_3, n_4, d_4
60. Line(G_1, N_1) → f_4
61. Line(T, V) → g_4
62. Intersect(f_4, g_4) → O_1
63. Segment(M_1, O_1) → j_4
64. Segment(O_1, G_1) → l_4
65. Midpoint(B, H) → Q_1
66. Midpoint(J, C) → R_1
67. Midpoint(K, B) → S_1
68. Midpoint(A_1, Z) → T_1
69. Midpoint(t_1) → U_1
70. Midpoint(F_1, K_1) → V_1
71. Midpoint(D_1, G_1) → W_1
72. Midpoint(J, F) → Z_1
73. Midpoint(K, E) → A_2
74. Midpoint(T, W) → P_1
75. Segment(H_1, I_1) → p_4
76. Polygon(L, K, A, B) → poly21, l_5, k_6, a_5, b_5
77. Midpoint(B_1, G_1) → C_2
78. Polygon(J, I, C, A) → poly22, j_5, i_7, c_5, a_6
79. Midpoint(F_1, D_1) → D_2
80. Midpoint(D_1, N_1) → E_2