三角形垂心构造与几何性质

GeoGebra 命令及参数

1. Point(Circle[A, 11]) → B
2. Polygon(A, B, C) → Acute, c, a, b
3. Point(Circle[D, 10]) → E
4. Polygon(D, E, F) → Obtuse, f, d, e
5. Point(Circle[G, 8]) → H
6. Polygon(G, H, I) → Right, i, g, h
7. Point(Circle[J, 10]) → K
8. Polygon(J, K, L) → Equilateral, l, j, k
9. Circle(A, 3) → p
10. Intersect(p, b, 1) → M
11. Intersect(p, c, 1) → N
12. Circle(M, 3) → q
13. Circle(N, 3) → r
14. Intersect(q, r, 1) → O
15. Line(A, P) → m
16. Line(M, N) → n
17. AngularBisector(C, B, A) → s_1
18. AngularBisector(b, a) → t, a_1
19. Intersect(m, s_1) → s
20. Circle(D, 3) → c_1
21. Intersect(c_1, e, 1) → Q
22. Circle(Q, 3) → d_1
23. Intersect(c_1, e, 1) → R
24. Point(e) → S
25. Line(D, S) → b_1
26. Line(Q, T) → e_1
27. Line(Q, U) → f_1
28. AngularBisector(e, d) → g_1, h_1
29. Intersect(f_1, h_1) → V
30. Circle(H, 3) → k_1
31. Point(i) → W
32. Circle(W, 3) → p_1
33. Intersect(k_1, p_1, 2) → Z
34. Intersect(k_1, p_1, 1) → A_1
35. Line(Z, B_1) → i_1
36. Line(Z, C_1) → j_1
37. AngularBisector(h, g) → l_1, m_1
38. AngularBisector(j_1, m_1) → n_1, q_1
39. Intersect(j_1, m_1) → D_1
40. Intersect(i_1, m_1) → E_1
41. Intersect(q_1, n_1) → F_1
42. Intersect(l_1, j_1) → G_1
43. Circle(J, 3) → r_1
44. Intersect(r_1, k, 1) → H_1
45. Circle(H_1, 3) → t_1
46. Line(H_1, I_1) → a_2
47. Intersect(a_2, l) → J_1
48. AngularBisector(k, j) → b_2, c_2
49. AngularBisector(k, l) → d_2, e_2
50. AngularBisector(j, k) → f_2, g_2
51. AngularBisector(k, l) → h_2, i_2
52. Intersect(c_2, e_2) → K_1
53. Intersect(t_1, i_2) → L_1, M_1
54. Intersect(a_2, h_2) → N_1
55. Intersect(g_2, f_2) → O_1
56. Intersect(e_2, d_2) → P_1
57. Intersect(c_2, b_2) → Q_1