三角形的中线、角平分线和高线共点

GeoGebra 命令及参数

1. Segment(A, B) → f
2. OrthogonalLine(A, f) → g
3. Point(g) → C
4. Ray(A, C) → h
5. Ray(A, C) → i
6. Point(i) → D
7. Segment(A, D) → j
8. Segment(D, B) → k
9. Angle(B, A, D) → α
10. Circle(B, j) → c
11. Intersect(c, k, 1) → E
12. Segment(B, E) → l
13. Segment(D, E) → m
14. OrthogonalLine(E, j) → n
15. Angle(A, D, E) → β
16. Rotate(A, β / 2, D) → A'
17. Angle(A, D, A') → γ
18. Ray(D, A') → p
19. Intersect(n, p) → F
20. Midpoint(m) → G
21. Intersect(n, j) → H
22. Segment(A, E) → r
23. Segment(G, F) → q
24. Segment(F, A) → s
25. Intersect(p, r) → I
26. OrthogonalLine(B, f) → t
27. Point(t) → J
28. Angle(J, B, E) → δ
29. Polygon(D, A, E) → poly1, e, d, a
30. Polygon(A, B, E) → poly2, e_1, a_1, b
31. Segment(D, H) → f_1
32. Segment(D, G) → g_1
33. Min(f_1, g_1) → o
34. Circle(D, (0.6 * o)) → c_1
35. Segment(D, E) → h_1
36. Intersect(c_1, h_1, 1) → K
37. Intersect(c_1, j, 1) → L
38. Intersect(c_1, p, 1) → M
39. CircleSector(D, L, M) → d_1
40. Dilate(A, If[0 < u ≤ 1, 1 - u, 0], B) → A'_1
41. Vector(A, A'_1) → v
42. Translate(A, v) → A'_2
43. Translate(D, v) → D'
44. Segment(A'_2, D') → j'
45. Rotate(A'_2, If[1 < u ≤ 2, ((u - 1) * δ), δ], B) → N
46. Rotate(D', If[1 < u ≤ 2, ((u - 1) * δ), δ], B) → D''
47. Segment(N, D'') → j''
48. Dilate(E, If[2 < u ≤ 3, 3 - u, 0], G) → E'
49. Segment(E, E') → i_1
50. Rotate(E, If[3 < u ≤ 4, ((u - 3) * π), π], G) → E'_1
51. Rotate(E', If[3 < u ≤ 4, ((u - 3) * π), π], G) → E''
52. Segment(E'_1, E'') → j_1
53. Dilate(A, If[4 < u ≤ 5, 5 - u, 0], E) → A'_3
54. Segment(A, A'_3) → k_1
55. Polygon(A, E, D) → poly3, d_2, a_2, e_2
56. Segment(E, H) → l_1
57. Angle(A, H, E) → ε
58. Dilate(E, If[5 < u ≤ 6, 6 - u, 0], H) → E'_2
59. Segment(E, E'_2) → m_1
60. Dilate(D, If[6 < u ≤ 7, 7 - u, 0], F) → D'_1
61. Segment(D, D'_1) → n_1
62. Dilate(F, If[7 < u ≤ 8, 8 - u, 0], I) → F'
63. Segment(F, F') → p_1
64. Rotate(d_1, If[8 < u ≤ 9, ((u - 8) * γ), γ], D) → q_1
65. Dilate(A, If[9 < u ≤ 10, 10 - u, 0], F) → A'_4
66. Segment(A, A'_4) → r_1
67. Dilate(F, If[10 < u ≤ 11, 11 - u, 0], G) → F'_1
68. Segment(FF, F'_1) → s_1