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向量演示 by Sokha Mon

向量演示 by Sokha Mon
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2018-04-27 01:35
向量解析几何几何作图
该范例展示了向量的基本概念及其操作。通过构造向量、中点、平移等几何对象，帮助学生理解向量的加法、减法和标量乘法。使用了Vector, Midpoint, Translate等GeoGebra命令。适合高中数学教学，特别是向量和解析几何的学习。

GeoGebra 命令及参数

  1. Vector(A, B) → u
  2. Vector(C, D) → v
  3. Midpoint(A, B) → E
  4. Midpoint(C, D) → F
  5. Translate(G, u) → G'
  6. Vector(G, G') → w
  7. Translate(G, v) → G'_1
  8. Vector(G, G'_1) → z
  9. Vector(D, C) → a
  10. Translate(H, u) → H'
  11. Vector(H, H') → b
  12. Translate(H, v) → H'_1
  13. Vector(H, H'_1) → c
  14. Point(d) → J
  15. Midpoint(H, J) → I
  16. Vector(A_1, B_1) → u_1
  17. Midpoint(A_1, B_1) → E_1
  18. Vector(C_1, D_1) → v_1
  19. Midpoint(C_1, D_1) → F_1
  20. Vector(D_1, C_1) → a_1
  21. Vector(C_2, D_2) → v_2
  22. Midpoint(C_2, D_2) → F_2
  23. Vector(D_2, C_2) → a_2
  24. Translate(K, u) → K'
  25. Vector(K, K') → e
  26. Translate(K', v) → K''
  27. Vector(K', K'') → f
  28. Translate(L, u) → L'
  29. Vector(L, L') → h
  30. Translate(L, v) → L'_1
  31. Vector(L, L'_1) → i
  32. Translate(M, u) → M'
  33. Vector(M, M') → k
  34. Translate(M', v) → M''
  35. Vector(M', M'') → l
  36. Translate(M', a) → M''_1
  37. Vector(M', M''_1) → m
  38. Vector(A_2, B_2) → u_2
  39. Midpoint(A_2, B_2) → E_2
  40. Vector(A_3, B_3) → u_3
  41. Midpoint(A_3, B_3) → E_3
  42. Vector(A_4, B_4) → u_4
  43. Midpoint(A_4, B_4) → E_4
  44. Angle(z, w) → α
  45. Midpoint(K, K'') → N
  46. Midpoint(G, G') → O
  47. Midpoint(G, G'_1) → P
  48. Midpoint(H, H') → Q
  49. Midpoint(H, H'_1) → R
  50. Midpoint(K, K') → S
  51. Midpoint(K', K'') → T
  52. Midpoint(L, L') → U
  53. Midpoint(L, L'_1) → V
  54. Midpoint(M, M') → W
  55. Midpoint(M', M'') → Z
  56. Midpoint(M', M''_1) → G_1
  57. Midpoint(M, M''_1) → H_1
  58. Point(j) → I_1
  59. Midpoint(L, I_1) → J_1