七巧板几何构造与变换探究

GeoGebra 命令及参数

1. Polygon(A, B, 4) → poli1, frame3, frame4, frame1, frame2, C, D
2. Segment(A, C) → frame12
3. Midpoint(D, C) → E
4. Midpoint(D, A) → F
5. Segment(F, E) → frame5
6. Midpoint(A, C) → G
7. Segment(B, G) → frame9
8. Midpoint(F, E) → H
9. Midpoint(G, C) → I
10. Segment(H, I) → frame7
11. Segment(G, H) → frame8
12. Line(F, frame8) → j
13. Intersect(j, frame12) → J
14. Segment(F, J) → frame11
15. Polygon(A, G, B) → poli2, b_1, a_1, g_1
16. Point(Circle[N, b_1]) → O
17. Rotate(O + (a_1, 0), Angle[B - G] + Angle[O - N] - Angle[G - A], O) → P
18. Polygon(N, O, P) → poli4, p, n, o
19. Polygon(B, G, C) → poli3, c_1, b_2, g_2
20. Point(Circle[K, c_1]) → L
21. Rotate(L + (b_2, 0), Angle[C - G] + Angle[L - K] - Angle[G - B], L) → M
22. Polygon(K, L, M) → poli5, m, k_1, l
23. Polygon(H, E, C, I) → poli6, h_1, e_1, c_2, i_1
24. Point(Circle[Q, h_1]) → R
25. Rotate(R + (e_1, 0), Angle[C - E] + Angle[R - Q] - Angle[E - H], R) → S
26. Rotate(S + (c_2, 0), Angle[I - C] + Angle[S - R] - Angle[C - E], S) → T
27. Polygon(Q, R, S, T) → poli7, q, r, s, t
28. Polygon(H, G, I) → poli8, i_2, h_2, g_3
29. Point(Circle[U, i_2]) → V
30. Rotate(V + (h_2, 0), Angle[I - G] + Angle[V - U] - Angle[G - H], V) → W
31. Polygon(U, V, W) → poli9, w, u, v
32. Polygon(F, H, G, J) → poli10, f_1, h_3, g_4, j_1
33. Point(Circle[Z, f_1]) → A_1
34. Rotate(A_1 + (h_3, 0), Angle[G - H] + Angle[A_1 - Z] - Angle[H - F], A_1) → B_1
35. Rotate(B_1 + (g_4, 0), Angle[J - G] + Angle[B_1 - A_1] - Angle[G - H], B_1) → C_1
36. Polygon(Z, A_1, B_1, C_1) → poli11, z, a_2, b_3, c_3
37. Polygon(F, J, A) → poli12, a_3, f_2, j_2
38. Point(Circle[D_1, a_3]) → E_1
39. Rotate(E_1 + (f_2, 0), Angle[A - J] + Angle[E_1 - D_1] - Angle[J - F], E_1) → F_1
40. Polygon(D_1, E_1, F_1) → poli13, f_3, d_1, e_2
41. Polygon(F, D, E) → poli14, e_3, f_4, d_2
42. Point(Circle[G_1, e_3]) → H_1
43. Rotate(H_1 + (f_4, 0), Angle[E - D] + Angle[H_1 - G_1] - Angle[D - F], H_1) → I_1
44. Polygon(G_1, H_1, I_1) → poli15, i_3, g_5, h_4