二次函数机器：动态可视化二次函数与三角几何的交互

GeoGebra 命令及参数

1. CurveCartesian(x(A) + ((r * (a + (1 / b * tanh((b * sin((n * t) + v)))))) * cos(t + v)), y(A) + ((r * (a + (1 / b * tanh((b * sin((n * t) + v)))))) * sin(t + v)), t, 0, 6.28319) → c
2. CurveCartesian(x(B) + ((R * (a + (1 / b * tanh((b * sin((n * t) - v)))))) * cos(t - v)), y(B) + ((R * (a + (1 / b * tanh((b * sin((n * t) - v)))))) * sin(t - v)), t, 0, 6.28319) → d
3. Circle(B, R + 0.9) → e
4. Circle(A, r + 0.9) → g
5. Circle(A, r + 0.9) → h
6. CurveCartesian(x(A) + ((r * (a + (1 / b * tanh((b * sin((n * t) + v)))))) * cos(t + v)), y(A) + ((r * (a + (1 / b * tanh((b * sin((n * t) + v)))))) * sin(t + v)), t, 0, 6.28319) → i
7. CurveCartesian(x(C) + ((R * (a + (1 / b * tanh((b * sin((n * t) - v)))))) * cos(t - v)), y(C) + ((R * (a + (1 / b * tanh((b * sin((n * t) - v)))))) * sin(t - v)), t, 0, 6.28319) → j
8. CurveCartesian(x(C) + ((r / 2 * (a + (1 / b * tanh((b * sin((n * t) + v)))))) * cos(t + v)), y(C) + ((r / 2 * (a + (1 / b * tanh((b * sin((n * t) + v)))))) * sin(t + v)), t, 0, 6.28319) → o
9. Polygon(D, E, F, G) → poly1, d_1, e_1, f_1, g_1
10. Point(g_1) → H
11. Point(g_1) → I
12. Polygon(H, I, J, K) → poly2, h_1, i_1, j_1, k
13. Polygon(L, K, J, M) → poly3, l, k_1, j_2, m
14. Point(f_1) → N
15. Polygon(N, O, P, F) → poly4, n_1, o_1, p, f_2
16. Textfield(s) → ChampTexte1
17. Vector(Q, S) → u
18. Textfield(f) → ChampTexte2
19. Vector(U, V) → w
20. Vector(W, Z) → z
21. Polygon(C_1, M, L, D_1) → poly5, c_1, m_1, l_1, d_2
22. Polygon(E_1, F_1, G_1, H_1) → poly6, e_2, f_3, g_2, h_2
23. Semicircle(F_1, G_1) → q
24. Mod(v / °, 2) → t_1
25. Semicircle(F_1, G_1) → p_1
26. Segment(A_1, B_1) → a_1
27. LaTeX(f) → textFromFunction
28. TextToUnicode(textFromFunction) → L_3
29. Text("(" + s + ")") → textFormulaValue
30. TextToUnicode(textFormulaValue) → L_n
31. Remove(Insert[L_n, L_3, IndexOf[120, L_3]], {120}) → L_4
32. Remove(Insert[L_n, L_4, IndexOf[120, L_4]], {120}) → L_5
33. Remove(Insert[L_n, L_5, IndexOf[120, L_5]], {120}) → L_6
34. Remove(Insert[L_n, L_6, IndexOf[120, L_6]], {120}) → L_7
35. Remove(Insert[L_n, L_7, IndexOf[120, L_7]], {120}) → L_8
36. Remove(Insert[L_n, L_8, IndexOf[120, L_8]], {120}) → L_9
37. RemoveUndefined({L_3, L_4, L_5, L_6, L_7, L_8, L_9}) → L_{10}
38. Element(L_{10}, Length[L_{10}]) → L_{11}
39. LaTeX("= " + (UnicodeToText[L_{11}]), true) → textEnumFunction