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滑轮中的运动方程应用

滑轮中的运动方程应用
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2017-05-25 15:00
向量函数几何作图
本范例演示了滑轮系统中运动方程的应用。核心数学概念包括运动方程、向量和几何作图。通过使用GeoGebra命令如Point、Vector、Polygon等，构建了滑轮系统的动态模型。适合高中物理和数学教学。

GeoGebra 命令及参数

  1. Point(xAxis) → A
  2. OrthogonalLine(A, xAxis) → f
  3. Point(xAxis) → B
  4. OrthogonalLine(B, xAxis) → g_3
  5. Circle(C, D) → c
  6. Line(C, g_3) → h
  7. Line(E, xAxis) → i
  8. Intersect(c, h) → F, G
  9. Intersect(i, h) → H
  10. Intersect(i, g_3) → I
  11. Intersect(f, i) → J
  12. Segment(J, I) → j
  13. Point(f) → K
  14. Point(f) → L
  15. Line(K, xAxis) → k
  16. Line(M, xAxis) → l
  17. Intersect(k, g_3) → N
  18. Intersect(l, g_3) → O
  19. Segment(C, H) → m
  20. Point(k) → P
  21. Point(k) → Q
  22. Polygon(Q, P, 4) → poly1, n, p, q, r, R, S
  23. Point(l) → T
  24. Point(l) → U
  25. Polygon(U, T, 4) → poly2, s, t, a, b, V, W
  26. Line(Z, xAxis) → d
  27. Intersect(g_3, d) → A_1
  28. Point(d) → B_1
  29. Point(d) → C_1
  30. Polygon(C_1, B_1, 4) → poly3, e, f_1, g_1, h_1, D_1, E_1
  31. Point(d) → F_1
  32. Point(d) → G_1
  33. Polygon(F_1, G_1, 4) → poly4, i_1, j_1, k_1, l_1, H_1, I_1
  34. Point(l) → J_1
  35. Point(l) → K_1
  36. Polygon(K_1, J_1, 4) → poly5, m_7, n_1, p_1, q_1, L_1, M_1
  37. Point(k) → N_1
  38. Point(k) → O_1
  39. Polygon(N_1, O_1, 4) → poly6, r_1, s_1, t_1, a_1, P_1, Q_1
  40. Intersect(c, g_3) → R_1,
  41. Point(g_3) → S_1
  42. Point(f) → T_1
  43. Intersect(q, g_3) → U_1
  44. Intersect(g_3, a) → V_1
  45. Intersect(f, t_1) → W_1
  46. Intersect(f, p_1) → Z_1
  47. Intersect(d, i_1) → A_2
  48. Intersect(f, d) → B_2
  49. Segment(S_1, N) → b_1
  50. Segment(T_1, K) → c_1
  51. Segment(U_1, O) → d_1
  52. Segment(V_1, A_1) → e_1
  53. Segment(K, W_1) → f_2
  54. Segment(W_1, L) → g_2
  55. Segment(Z_1, B_2) → h_2
  56. Segment(W_1, L) → i_2
  57. PointIn(poly6) → C_2
  58. PointIn(poly1) → D_2
  59. PointIn(poly2) → E_2
  60. PointIn(poly5) → F_2
  61. PointIn(poly3) → G_2
  62. PointIn(poly4) → H_2
  63. Vector(I_2, J_2) → u
  64. Vector(K_2, L_2) → v
  65. Vector(M_2, N_2) → w
  66. Vector(O_2, P_2) → u_1