鱼形曲线：参数方程与几何构造的交互演示

GeoGebra 命令及参数

1. Line(F, G) → n_1
2. Circle(F, c, n_1) → r_1
3. Cone(r_1, 0.925) → o_1, o_2, o_3
4. Point(o_2) → P
5. Midpoint(F, P) → Q
6. Mirror(Q, P) → Q'
7. Line(P, zAxis) → s_1
8. Cylinder(A, B, c) → d, e, g, h
9. Cylinder(B, C, c) → f, k, p, i
10. Cylinder(C, D, c) → j, q, s, l
11. Cylinder(D, E, c) → n, c_1, d_1, o
12. Cylinder(E, F, c) → u, e_1, f_1, v
13. Cylinder(F, G, c) → w, g_1, h_1, a_1
14. Cylinder(G, H, c) → b_1, b_2, b_3, b_4
15. CurveCartesian(x(O) + (R * cos(u)), y(O) + (R * sin(u)), z(O) + ((r * cos(((m * Phase) * u))) * cos(u)), u, 0, (2 * π)) → a
16. Polygon(AA, BB, CC, DD) → q1, aa, bb, cc, dd
17. Prism(q1, 4) → i_1, I, arêteAAI, arêteBBJ, arêteCCK, arêteDDL, arêteIJ, arêteJK, arêteKL, arêteIL, J, K, L, faceAABBJI, faceBBCCKJ, faceCCDDLK, faceAADDLI, faceIJKL
18. Line(B, A) → j_1
19. Circle(A, c, j_1) → k_1
20. Cone(k_1, 0.35) → l_1, l_2, l_3
21. PointIn(l_3) → M
22. PointIn(l_3) → N
23. Plane(Q', s_1) → q_1
24. OrthogonalLine(Q', q_1) → m_1
25. Point(m_1) → T
26. Midpoint(Q', P) → S
27. Midpoint(S, Q') → U
28. Mirror(T, Q') → T'
29. Polygon(P, T', U, T) → q2, p_2, t', u_1, t_1
30. Line(B, s_1) → f_2
31. Line(E, s_1) → g_2
32. Point(f_2) → V
33. Point(g_2) → W
34. Polygon(E, B, V, W) → q3, e_2, b_5, v_1, w_1
35. OrthogonalLine(B, q_1) → h_2
36. OrthogonalLine(D, q_1) → i_2