复变函数映射图与实系数三次方程求解

GeoGebra 命令及参数

1. ComplexRoot(f) → r_1, r_2, r_3
2. Sequence((δ * (cos(t) + (sin(t) * ί))) + real(z_#) + (imaginary(z_#) * ί), t, -3.14159, π, (2 * π / m)) → z_*
3. Zip(f_C[z, p, q], z, z_*) → fz_*
4. f_C(z_#, p, q) → f_{(z#)}
5. Sequence((x(Element[fz_*, k]), y(Element[fz_*, k]), height_{image}), k, 1, m) → fpoint_*
6. Vector(z_#, f_{(z#).}) → w
7. CurveCartesian(t, 0, height_{image}, t, -5, 5) → Xh
8. CurveCartesian(0, t, height_{image}, t, -5, 5) → Yh
9. PointIn(C_{image}) → L
10. Sequence(Vector[Element[z_*, j], Element[fpoint_*, j]], j, 1, m) → fvec_*
11. Intersect(f, xAxis) → A, B, C
12. Zip(Vector[(x(z), y(z), 0), (0, 0, height_{image})], z, roots) → rootsvec
13. Circle(r_3, r_2, r_1) → c
14. Center(c) → O_r
15. Point(circle) → P_C
16. Locus(F_D, P_C) → f_{circ}
17. Radius(c) → δ_r