中位线与等面积分割的几何演示

GeoGebra 命令及参数

1. Midpoint(A, C) → M
2. Segment(B, M) → f
3. Midpoint(B, C) → E
4. Segment(M, E) → g
5. Midpoint(M, B) → G
6. Point(Segment[A, M], m) → M_1
7. Segment(A, M_1) → j
8. Point(Segment[A, M], m) → I
9. Point(Segment[M, C], m - 2) → M_2
10. Vector(I, M_2) → u
11. Translate(A, u) → A'
12. Translate(M_1, u) → H
13. Segment(A', H) → j'
14. Segment(A, A') → k
15. Segment(A, A') → l
16. Segment(I, M_2) → n
17. Segment(M_2, C) → p
18. Segment(B, A) → q
19. Segment(B, C) → r
20. Point(Segment[B, M], m - 4) → M_3
21. Segment(B, M_3) → s
22. Point(Segment[M, E], m - 6) → M_4
23. Segment(M, M_4) → t
24. Polygon(M, E, C) → poly2, c_1, d, e
25. Point(Segment[E, G], m - 8) → M_5
26. Rotate(B, ((m - 10) * π), G) → B'
27. Rotate(G, ((m - 10) * π), G) → G'
28. Rotate(E, ((m - 10) * π), G) → E'
29. Mirror(B, G) → B'_1
30. Mirror(G, G) → G'_1
31. Mirror(E, G) → E'_1
32. Rotate(G, (-(((m - 10) * π))), G) → G'_2
33. Rotate(M, ((m - 10) * π), G) → D'
34. Rotate(E, ((m - 10) * π), G) → E'_2
35. Polygon(M, E, B) → poly1, b, d_1, e_1
36. Polygon(B, A, C) → poly3, c, b_1, a
37. Rotate(B, ((m - 8) * π), G) → B'_2
38. Rotate(A, ((m - 8) * π), G) → A'_1
39. Rotate(C, ((m - 8) * π), G) → C'
40. Rotate(M, ((m - 8) * π), G) → D'_1
41. Rotate(E, ((m - 8) * π), G) → E'_3
42. Rotate(B, ((m - 8) * π), G) → B'_3
43. Polygon(D'_1, E'_3, B'_3) → poly1', b'_3, d'_1, e'_3
44. Mirror(M, G) → D'_2
45. Mirror(E, G) → E'_4
46. Mirror(B, G) → B'_4
47. Polygon(D'_2, E'_4, B'_4) → poly1'_1, b'_4, d'_2, e'_4
48. Point(Segment[M, A], m - 10) → M_6
49. Vector(M, M_6) → v
50. Translate(M, v) → D'_3
51. Translate(E, v) → E'_5
52. Translate(C, v) → C'_1
53. Polygon(D'_3, E'_5, C'_1) → poly2', c'_1, d'_3, e'_5