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分数拆分 by Daniel Little

分数拆分 by Daniel Little
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2018-07-10 18:01
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这个范例演示了如何将一个分数拆分为多个更简单的分数。核心数学概念包括分数的性质和加法。通过使用GeoGebra命令如Circle, Point, Segment, Rotate, Angle等，可以动态地展示分数拆分的过程。适合初中及以上学生学习分数加法和分解。

GeoGebra 命令及参数

  1. Circle(A, 10) → c
  2. Point(c) → B
  3. Segment(A, B) → f
  4. Rotate(B, (360 * ° / a), A) → B'
  5. Segment(A, B') → g
  6. Rotate(B', (360 / a)°, A) → B''
  7. Segment(A, B'') → h
  8. Rotate(B'', (360 / a)°, A) → B'''
  9. Angle(B'', A, B''') → α
  10. Segment(A, B''') → i
  11. Rotate(B''', (360 / a)°, A) → C
  12. Angle(B''', A, C) → β
  13. Segment(A, C) → j
  14. Rotate(C, (360 / a)°, A) → C'
  15. Angle(C, A, C') → γ
  16. Rotate(C', (360 / a)°, A) → C''
  17. Angle(C', A, C'') → δ
  18. Rotate(C'', (360 / a)°, A) → C'''
  19. Angle(C'', A, C''') → ε
  20. Rotate(C''', (360 / a)°, A) → D
  21. Angle(C''', A, D) → ζ
  22. Rotate(D, (360 / a)°, A) → D'
  23. Angle(D, A, D') → η
  24. Segment(A, C') → k
  25. Segment(A, C'') → l
  26. Segment(A, C''') → m
  27. Segment(A, D) → n
  28. Segment(A, D') → p
  29. Rotate(B, (360 / b)°, A) → B'_1
  30. Angle(B, A, B'_1) → θ
  31. Rotate(B'_1, (360 / b)°, A) → E
  32. Angle(B'_1, A, E) → ι
  33. Rotate(E, (360 / b)°, A) → E'
  34. Angle(E, A, E') → κ
  35. Rotate(E', (360 / b)°, A) → E''
  36. Angle(E', A, E'') → λ
  37. Rotate(E'', (360 / b)°, A) → E'''
  38. Angle(E'', A, E''') → μ
  39. Rotate(E''', (360 / b)°, A) → F
  40. Angle(E''', A, F) → ν
  41. Rotate(F, (360 / b)°, A) → F'
  42. Angle(F, A, F') → ξ
  43. Rotate(F', (360 / b)°, A) → F''
  44. Angle(F', A, F'') → ο
  45. Rotate(F'', (360 / b)°, A) → F'''
  46. Angle(F'', A, F''') → ρ
  47. Segment(A, B'_1) → q
  48. Segment(A, E) → r
  49. Segment(A, E') → s
  50. Segment(A, E'') → t
  51. Segment(A, E''') → d
  52. Segment(A, F) → e
  53. Segment(A, F') → f_1
  54. Segment(A, F'') → g_1
  55. Segment(A, F''') → h_1