非共面四边形中点探究

GeoGebra 命令及参数

1. Segment(A, D) → f
2. Segment(D, C) → g
3. Segment(C, B) → h
4. Segment(B, A) → i
5. Midpoint(f) → E
6. Midpoint(g) → F
7. Midpoint(h) → G
8. Midpoint(i) → H
9. Polygon(G, H, E, F) → poly1, g_1, h_1, e, f_1
10. Dilate(H, If[0 < a ≤ 1, 1 - a, 0], E) → H'
11. Segment(H, H') → j
12. Dilate(E, If[1 < a ≤ 2, 2 - a, 0], F) → E'
13. Segment(E, E') → k
14. Dilate(F, If[2 < a ≤ 3, 3 - a, 0], G) → F'
15. Vector(F, F') → u
16. Translate(E, u) → E'_1
17. Translate(E', u) → E''
18. Segment(E'_1, E'') → k'
19. Dilate(H, If[3 < a ≤ 4, 4 - a, 0], G) → H'_1
20. Vector(H, H'_1) → v
21. Translate(H, v) → H'_2
22. Translate(H', v) → H''
23. Segment(H'_2, H'') → j'