玩转平行四边形：几何变换与向量探究

GeoGebra 命令及参数

1. Segment(A, C) → f
2. Midpoint(f) → C_{1}
3. Circle(C_{1}, A) → c
4. Segment(F, H) → g
5. Midpoint(g) → F_{1}
6. OrthogonalLine(F_{1}, g) → h
7. Circle(F_{1}, F) → d
8. Segment(O, M) → i
9. Midpoint(i) → I_{1}
10. OrthogonalLine(I_{1}, i) → j
11. Point(j) → P
12. Circle(I_{1}, P) → e
13. Point(c) → D
14. Line(D, C_{1}) → k
15. Intersect(d, h, 2) → G
16. Intersect(d, h, 1) → E
17. Intersect(e, j, 2) → N
18. Segment(R, S) → l
19. Rotate(R, 90°, S) → T
20. Rotate(S, 90°, T) → Q
21. Segment(S, T) → m
22. Segment(T, Q) → n
23. Segment(Q, R) → p
24. Segment(O, N) → q
25. Segment(N, M) → r
26. Segment(M, P) → s
27. Segment(P, O) → t
28. Segment(A, D) → a
29. Segment(D, C) → b
30. Intersect(c, k, 2) → B
31. Segment(C, B) → f_1
32. Segment(B, A) → g_1
33. Segment(F, E) → h_1
34. Segment(E, H) → i_1
35. Segment(H, G) → j_1
36. Segment(G, F) → k_1
37. Segment(J, L) → l_1
38. Midpoint(l_1) → T_{1}
39. Mirror(I, T_{1}) → K
40. Segment(J, I) → m_1
41. Segment(I, L) → n_1
42. Segment(L, K) → p_1
43. Segment(K, J) → q_1
44. Vector(V_{1}, W_{1}) → u
45. Translate(U, u) → V
46. Segment(U, V) → r_1
47. Line(Z, r_1) → s_1
48. Point(s_1) → W
49. Segment(Z, U) → t_1
50. Segment(V, W) → a_1
51. Segment(Z, W) → b_1