复数导数零点与几何构造

GeoGebra 命令及参数

1. Sequence(Random[-20, 20] / 10, k, 1, 10) → k, {1.9, -0.4, -0.2, 1, -1.1, -0.3, 0.1, -0.6, -0.8, 0.5}
2. Sum((k(i + 1) * x^(i)), i, 0, 9) → f
3. Derivative(f) → f1
4. Derivative(f1) → f2
5. Derivative(f2) → f3
6. Derivative(f3) → f4
7. Derivative(f4) → f5
8. Derivative(f5) → f6
9. Derivative(f6) → f7
10. Derivative(f7) → f8
11. Derivative(f8) → f9
12. ComplexRoot(f) → N0_{1}, N0_{2}, N0_{3}, N0_{4}, N0_{5}, N0_{6}, N0_{7}, N0_{8}, N0_{9}
13. ComplexRoot(f1) → N1, O1, P1, Q1, R1, S1, T1, U1
14. ComplexRoot(f2) → N2, O2, P2, Q2, R2, S2, T2
15. ComplexRoot(f3) → N3, O3, P3, Q3, R3, S3
16. ComplexRoot(f4) → N4, O4, P4, Q4, R4
17. ComplexRoot(f5) → N5, O5, P5, Q5
18. ComplexRoot(f6) → N6, O6, P6
19. ComplexRoot(f7) → N7, O7
20. ConvexHull(Pu0) → Hu0
21. ConvexHull(Pu1) → Hu1
22. ConvexHull(Pu2) → Hu2
23. ConvexHull(Pu3) → Hu3
24. ConvexHull(Pu4) → Hu4
25. ConvexHull(Pu5) → Hu5
26. ConvexHull(Pu6) → Hu6
27. ConvexHull(Pu7) → Hu7