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连续性方程演示 by Dr.Lakshman Chaudhari

连续性方程演示 by Dr.Lakshman Chaudhari
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2016-01-31 23:49
向量函数不等式几何作图函数图像
①本范例演示流体力学中的连续性方程在二维平面上的图形化表示；②涉及的核心数学概念包括向量场、流线、不等式表示以及几何变换；③作图要点——从下方『构造摘要』提炼用到了 Sequence（数列）、Point（点）、Segment（线段）、Vector（向量）等 GeoGebra 命令/对象；④适合高中及以上学生或数学爱好者学习流体力学或向量微积分。

GeoGebra 命令及参数

  1. Sequence(y = i, i, (-r_1), r_1, (2 * r_1 / 10)) → list1
  2. Point(list1) → A
  3. Point(list1) → B
  4. Point(list1) → C
  5. Point(list1) → D
  6. Point(list1) → E
  7. Point(list1) → F
  8. Point(list1) → G
  9. Point(list1) → H
  10. Point(list1) → I
  11. Point(list1) → J
  12. Point(list1) → K
  13. Point(list1) → L
  14. Point(list1) → M
  15. Point(list1) → N
  16. Point(list1) → O
  17. Point(list1) → P
  18. Point(list1) → Q
  19. Point(list1) → R
  20. Sequence(y = i, i, (-r_2), r_2, (2 * r_2 / 10)) → list3
  21. Point(list3) → S
  22. Point(list3) → T
  23. Point(list3) → U
  24. Point(list3) → V
  25. Point(list3) → W
  26. Point(list3) → Z
  27. Point(list3) → A_1
  28. Point(list3) → B_1
  29. Point(list3) → C_1
  30. Point(list3) → D_1
  31. Point(list3) → E_1
  32. Point(list1) → F_1
  33. Point(list1) → G_1
  34. Point(list1) → H_1
  35. Point(list1) → I_1
  36. Segment(A, S) → a
  37. Segment(B, T) → b
  38. Segment(C, U) → c
  39. Segment(D, V) → d
  40. Segment(E, W) → e
  41. Segment(F, Z) → f
  42. Segment(G, A_1) → g
  43. Segment(H, B_1) → h
  44. Segment(I, C_1) → i
  45. Segment(H_1, D_1) → j
  46. Segment(I_1, E_1) → k
  47. Segment(J, A) → l
  48. Segment(K, B) → m
  49. Segment(L, C) → n
  50. Segment(M, D) → p
  51. Segment(N, E) → q
  52. Segment(O, F) → r
  53. Segment(P, G) → s
  54. Segment(Q, H) → t
  55. Segment(R, I) → a_1
  56. Segment(F_1, H_1) → b_1
  57. Segment(G_1, I_1) → c_1
  58. Point(list3) → J_1
  59. Point(list3) → K_1
  60. Point(list3) → L_1
  61. Point(list3) → M_1
  62. Point(list3) → N_1
  63. Point(list3) → O_1
  64. Point(list3) → P_1
  65. Point(list3) → Q_1
  66. Point(list3) → R_1
  67. Point(list3) → S_1
  68. Point(list3) → T_1
  69. Vector(T, K_1) → v
  70. Vector(U, L_1) → w
  71. Vector(W, N_1) → u_1
  72. Vector(V, M_1) → v_1
  73. Vector(Z, O_1) → w_1
  74. Vector(A_1, P_1) → d_1
  75. Vector(B_1, Q_1) → e_1
  76. Vector(D_1, S_1) → g_1
  77. Segment(S, J_1) → i_1
  78. Segment(C_1, R_1) → f_1
  79. Segment(E_1, T_1) → h_1
  80. Vector(C_1, R_1) → u