复数平方根函数的几何表示

GeoGebra 命令及参数

1. Polygon(A, B, C) → poly1, c, a, b
2. Circle(D, E) → d
3. Vector(F, G) → u
4. OrthogonalLine(F, u) → e
5. Point(e) → H
6. Translate(G, u) → G'_1
7. Translate(H, u) → H'_1
8. Polygon(F, H, H'_1, G) → poly2, f, h, h', g
9. Vector(F, G'_1) → v
10. Translate(F, v) → F'
11. Translate(H, v) → H'
12. Translate(H'_1, v) → I
13. Translate(G, v) → G'
14. Polygon(F', H', I, G') → poly2', f', h'_1, i, g'
15. Translate(F', v) → F''
16. Translate(H', v) → H''
17. Translate(I, v) → I'
18. Translate(G', v) → G''
19. Polygon(F'', H'', I', G'') → poly2'', f'', h'', i', g''
20. Point(d) → J
21. Point(poly1) → L
22. Point(poly2) → M
23. Point(poly2') → N
24. Point(poly2'') → O
25. Locus(z, J) → loc1
26. Locus(z_1, L) → loc2
27. Locus(z_2, M) → loc3
28. Locus(z_3, N) → loc4
29. Locus(z_4, O) → loc5
30. Intersect(xAxis, yAxis) → P
31. Circle(P, 1) → k
32. Line(Q, R) → j
33. Point(j) → S
34. Locus(z_5, S) → loc6
35. Intersect(yAxis, xAxis) → K
36. Intersect(k, xAxis) → T, U
37. Polygon(V, W, 5) → poly3, v_1, w, r, s, t, Z, A_1, B_1
38. Polygon(A_1, W, B_1, Z, V) → poly4, a_1, w_1, b_1, z_6, v_2
39. Point(poly4) → C_1
40. Locus(z_7, C_1) → loc7
41. Angle(U, K, D_1) → α
42. Segment(K, D_1) → p
43. Segment(K, z_8) → q
44. Angle(U, K, z_8) → β