二次方程的映射图解法（实数与复数）

GeoGebra 命令及参数

1. If(RorC ≟ 2, w_C, w_R) → w
2. If(RorC ≟ 2, k_C, k_R) → k
3. If(RorC ≟ 2, h_C, h_R) → h
4. If(RorC ≟ 2, A_C, A_R) → A
5. Sequence(0, n) → M_1
6. Zip(((2 * π) * k / n), k, M_1) → t_*
7. Zip((δ * ℯ^((t * ί))) + z_#, t, t_*) → z_c
8. Zip(z_# + ((t - π) * (P_l - z_#)), t, t_*) → z_l
9. Line(z_#, P_l) → l
10. Circle(z_#, δ) → c
11. Point(c) → Pc
12. If(m ≟ 1, z_c, z_l) → z_*
13. Zip(s1(z), z, z_*) → fz_*
14. Line(O, ZY1) → Im_{axis}
15. Line(O, ZX1) → Real_{axis}
16. Vector(z_#, fz1_#) → vecf_#
17. Textfield(F) → InputBox1
18. Zip((x(z), y(z), ht), z, fz_*) → fpt_*
19. Zip(Vector[z, w], z, z_*, w, fpt_*) → fvec_*
20. Locus(Pts1Pc, Pc) → loc_c
21. Point(l) → Pl
22. Locus(Pts1Pl, Pl) → loc_l
23. Line((x(O2), y(O2), z(O2)), Vector[(1, 0, 0)]) → Real_{axis2}
24. Line((x(O2), y(O2), z(O2)), Vector[(0, 1, 0)]) → Im_{axis2}
25. Zip(g(s1(z)), z, z_*) → gfz_*
26. Zip((x(z), y(z), (2 * ht)), z, gfz_*) → gfpt_*
27. Zip(Vector[z, w], z, fpt_*, w, gfpt_*) → gfvec_*
28. Locus(Ptgs1Pc, Pc) → loc2_c
29. Textfield(G) → InputBox2
30. Sequence(n_p) → Np
31. Zip(z = (ht * k), k, Np) → Planes
32. Zip(mf(g(s1(z))), z, z_*) → Agfz_*
33. Zip((x(z), y(z), (3 * ht)), z, Agfz_*) → Agfpt_*
34. Zip(Vector[z, w], z, gfpt_*, w, Agfpt_*) → Agfvec_*
35. Zip(s2(mf(SQ(s1(z)))), z, z_*) → kAgfz_*
36. Zip((x(z), y(z), (4 * ht)), z, kAgfz_*) → kAgfpt_*
37. Zip(Vector[z, w], z, Agfpt_*, w, kAgfpt_*) → kAgfvec_*
38. Locus(PtAgs1Pc, Pc) → Loc3_c
39. Locus(Pts2Ags1Pc, Pc) → Loc4_c
40. Locus(Ptgs1Pl, Pl) → loc2_l
41. Locus(PtAgs1Pl, Pl) → Loc3_l
42. Locus(Pts2Ags1Pl, Pl) → Loc4_l
43. Vector(B3, Is2B3) → u
44. Vector(Is2B3, IAIs2B3) → v
45. Vector(IAIs2B3, SQRNIAIs2B3) → b
46. Vector(SQRPIAIs2B3, Is1SQRPIAIs2B) → e
47. Vector(SQRNIAIs2B3, Is1SQRNIAIs2B) → d
48. Point(Planes) → B
49. Vector(IAIs2B3, SQRPIAIs2B3) → a
50. Zip((0, 0, (ht * k)), k, Np) → Os
51. Zip(Line[p, Vector[(1, 0, 0)]], p, Os) → Axesx
52. Zip(Line[p, Vector[(0, 1, 0)]], p, Os) → Axesy