热传导方程演示

GeoGebra 命令及参数

1. Sequence(g(i), i, 0, L, 0.1) → list1
2. Max(list1) → maxlist1
3. Min(list1) → minlist1
4. Textfield(f) → InputBox1
5. Vector(A, B) → u
6. Vector(A, C) → v
7. OrthogonalLine(C, yAxis) → h
8. OrthogonalLine(B, yAxis) → i
9. If(y(v) > 0, 0, 1) → condy
10. If(y(u) < 0, 0, 1) → condx
11. If(ymin ≟ 0, (ymax * (-0.1)), ymin) → condy2
12. If(ymax ≟ 0, (ymin * (-0.1)), ymax) → condx2
13. Textfield(L) → InputBox2
14. Polygon((xmin1, ymin1), ((-0.1 * L), ymin1), ((-0.1 * L), ymax1), (xmax1, ymax1)) → Range1, j, k, l, m
15. Polygon((xmin2, ymin2), (L, ymin2), (L, ymax2), (xmax2, ymax2)) → Range2, p, q, r, s
16. Sequence((2 / L * Integral[(f(x) * sin((((π * x) * i)) / L)), 0, L]), i, 1, n) → An
17. Sequence(((Element[An, i] * exp(((((-a) * i^(2)) * π^(2)) * y / L^(2)))) * sin(((i * π) * x / L))), i, 1, n) → Anexpsin
18. Sum(Anexpsin, n) → vv
19. Textfield(a) → InputBox3
20. Textfield(n) → InputBox4
21. If(t < 30, t, 30) → hue
22. LaTeX(hue, true, true) → text1
23. CurveCartesian(o, heat(o), o, 0, L) → c