对称挑战：几何与微积分结合的作图示例

GeoGebra 命令及参数

1. Polygon(A, B, 4) → poly1, a, b, c, d, C, D
2. Midpoint(A, B) → E
3. Midpoint(B, C) → F
4. Circle(E, Distance[A, B] / 6) → e
5. Circle(F, Distance[A, B] / 6) → f
6. Intersect(e, a) → G, H
7. Intersect(f, b) → I, J
8. OrthogonalLine(G, a) → g
9. OrthogonalLine(H, a) → h
10. Line(I, a) → i
11. Line(J, a) → j
12. Segment(B, C) → k
13. Segment(C, D) → l
14. Segment(D, A) → m
15. Intersect(g, l) → K
16. Intersect(h, l) → L
17. Intersect(i, m) → M
18. Intersect(j, m) → N
19. Segment(G, K) → n
20. Segment(H, L) → p
21. Segment(M, I) → q
22. Segment(N, J) → r
23. Line(O, a) → s
24. OrthogonalLine(O, s) → t
25. Circle(O, Distance[A, B] / 3) → c_1
26. Intersect(c_1, t, 2) → P_1
27. Polygon(O, P_1, 4) → poly2, a_1, b_1, d_1, e_1, Q_1, R_1
28. Line(P, a) → f_1
29. OrthogonalLine(P, a) → g_1
30. Circle(P, Distance[A, B] / 3) → h_1
31. Intersect(h_1, g_1, 2) → S
32. Polygon(P, S, 4) → poly3, i_1, j_1, k_1, l_1, T, U
33. Line(Q, a) → m_1
34. OrthogonalLine(Q, a) → n_1
35. Circle(Q, Distance[A, B] / 3) → p_1
36. Intersect(p_1, n_1, 2) → V
37. Polygon(Q, V, 4) → poly4, q_1, r_1, s_1, t_1, W, Z
38. Line(R, a) → a_2
39. OrthogonalLine(R, a) → b_2
40. Circle(R, Distance[A, B] / 3) → c_2
41. Intersect(c_2, b_2, 2) → A_1
42. Polygon(R, A_1, 4) → poly5, d_2, e_2, f_2, g_2, B_1, C_1
43. Line(X, Y) → h_2