刚体旋转：环流

GeoGebra 命令及参数

1. Textfield(x_{min}) → inputBox2
2. Textfield(x_{max}) → inputBox3
3. Textfield(y_{min}) → inputBox4
4. Textfield(y_{max}) → inputBox5
5. SolveODE(f, x(A), y(A), x_{max}, 0.01) → SLVF
6. SolveODE(f, x(A), y(A), x_{min}, 0.01) → SLVB
7. Sequence(SolveODE[f, 0, t1, x_{max}, 0.01], t1, -2, 2, 0.25) → SLVFL
8. Sequence(SolveODE[f, 0, t1, x_{min}, 0.01], t1, -2, 2, 0.25) → SLVBL
9. SlopeField(f, n, a, x_{min}, y_{min}, x_{max}, y_{max}) → SF
10. Sequence(Sequence[Vector[(j, k), (j + (a * v_x(j, k)), k + (a * v_y(j, k)))], j, x_{min}, x_{max}, xstep], k, y_{min}, y_{max}, ystep) → vField
11. SolveODE(f, x(B), y(B), x_{max}, 0.01) → numericalIntegral1
12. SolveODE(f, x(C), y(C), x_{max}, 0.01) → numericalIntegral2
13. SolveODE(f, x(D), y(D), x_{max}, 0.01) → numericalIntegral3
14. Midpoint(K, L) → M
15. SelectedIndex(pathNames) → pathIndex
16. Element(pathList, pathIndex) → path
17. CurveCartesian(x(path(t)), y(path(t)), t, 0, s) → partPath
18. Sequence(Vector[path(s), path(s) + ((a * v_x(x(path(s)), y(path(s)))), (a * v_y(x(path(s)), y(path(s)))))], s, 0, 1, 0.1) → pathVectors
19. Sum(Sequence[((path(i + dS) - path(i)) * (v_x(x(path(i + dS / 2)), y(path(i + dS / 2))), v_y(x(path(i + dS / 2)), y(path(i + dS / 2))))), i, 0, s - dS, dS]) → lineIntegral
20. Segment(path(0.2), path(0.21)) → arrow1
21. Segment(path(0.5), path(0.51)) → arrow2
22. Segment(path(0.8), path(0.81)) → arrow3
23. Textfield(time) → InputBox2
24. SolveODE(f, x(F), y(F), x_{max}, 0.01) → numericalIntegral4
25. SolveODE((-y), x, x(E), y(E), x_{max}, 0.01) → numericalIntegral5
26. CurveCartesian((x(E) * cos((w * t))) - (y(E) * sin((w * t))), (x(E) * sin((w * t))) + (y(E) * cos((w * t))), t, 0, time) → stream_1
27. CurveCartesian((x(A) * cos((w * t))) - (y(A) * sin((w * t))), (x(A) * sin((w * t))) + (y(A) * cos((w * t))), t, 0, time) → stream_2
28. CurveCartesian((x(B) * cos((w * t))) - (y(B) * sin((w * t))), (x(B) * sin((w * t))) + (y(B) * cos((w * t))), t, 0, time) → stream_3
29. CurveCartesian((x(C) * cos((w * t))) - (y(C) * sin((w * t))), (x(C) * sin((w * t))) + (y(C) * cos((w * t))), t, 0, time) → stream_4
30. CurveCartesian((x(D) * cos((w * t))) - (y(D) * sin((w * t))), (x(D) * sin((w * t))) + (y(D) * cos((w * t))), t, 0, time) → stream_5
31. CurveCartesian((x(F) * cos((w * t))) - (y(F) * sin((w * t))), (x(F) * sin((w * t))) + (y(F) * cos((w * t))), t, 0, time) → stream_6
32. CurveCartesian((x(Q) * cos((w * t))) - (y(Q) * sin((w * t))), (x(Q) * sin((w * t))) + (y(Q) * cos((w * t))), t, 0, time) → stream_7
33. Line(S, xAxis) → c
34. Line(T, xAxis) → d