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巧克力盒中的分数部分

巧克力盒中的分数部分
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2014-04-19 14:17
多边形解析几何几何作图
所属专题 Fraction Skills
本范例演示了巧克力盒中剩余部分和被吃掉部分的分数。涉及的核心数学概念包括分数和几何作图。通过使用GeoGebra命令如Random、Point、Vector等，可以构造出巧克力盒的几何图形，并计算剩余和被吃掉的巧克力数量。适合小学高年级或初中学生学习分数和几何作图。

GeoGebra 命令及参数

  1. Random(4, 8) → Stupci
  2. Random(4, 6) → Retci
  3. Random(0, Retci - 1) → PuniRetci
  4. Random(0, Stupci) → Jos
  5. Point(Ray[A, A + (1, 0)]) → B
  6. Point(Ray[C, C + (1, 0)]) → D
  7. Vector(C, D) → u
  8. Point(Ray[C, C + (0, 1)]) → E
  9. Vector(C, E) → v
  10. If(PuniRetci > 0, Sequence[Sequence[Translate[Bombon1, Vector[(i * u) + (j * v)]], j, 0, PuniRetci - 1], i, 0, Stupci - 1], Translate[Bombon1, Vector[(300 * u)]]) → Bomboni
  11. If(Jos > 0, Sequence[Translate[Bombon1, Vector[(i * u) + (PuniRetci * v)]], i, 0, Jos - 1], Translate[Bombon1, Vector[(300 * u)]]) → JosBombona
  12. Polygon(A, B, 4) → Prazni1, a_1, b, c, d, F, G
  13. If(PuniRetci + 1 < Retci, Sequence[Sequence[Polygon[Translate[A, Vector[(i * u) + (j * v)]], Translate[B, Vector[(i * u) + (j * v)]], Translate[F, Vector[(i * u) + (j * v)]], Translate[G, Vector[(i * u) + (j * v)]]], j, PuniRetci + 1, Retci - 1], i, 0, Stupci - 1], Polygon[Translate[A, Vector[(300 * u)]], Translate[B, Vector[(300 * u)]], Translate[F, Vector[(300 * u)]], Translate[G, Vector[(300 * u)]]]) → Prazni
  14. If(Jos < Stupci, Sequence[Polygon[Translate[A, Vector[(i * u) + (PuniRetci * v)]], Translate[B, Vector[(i * u) + (PuniRetci * v)]], Translate[F, Vector[(i * u) + (PuniRetci * v)]], Translate[G, Vector[(i * u) + (PuniRetci * v)]]], i, Jos, Stupci - 1], Polygon[Translate[A, Vector[(300 * u)]], Translate[B, Vector[(300 * u)]], Translate[F, Vector[(300 * u)]], Translate[G, Vector[(300 * u)]]]) → JosPraznih
  15. Distance(A, B) → distanceAB
  16. Translate(UnutrRub3, Vector[UnutrRub2, UnutrRub1]) → UnutrRub4
  17. Translate(VanjRub3, Vector[VanjRub2, VanjRub1]) → VanjRub4
  18. Polygon(UnutrRub1, UnutrRub2, UnutrRub3, UnutrRub4) → UnutrasKutije, unutrrub1, unutrrub2, unutrrub3, unutrrub4
  19. Polygon(VanjRub1, VanjRub2, UnutrRub2, UnutrRub1) → RubKutijeDonji, vanjrub1_1, vanjrub2_1, unutrrub2_2, unutrrub1_2
  20. Dilate(UnutrRub1, 1, A) → UnutrRub1'
  21. Dilate(UnutrRub2, 1, A) → UnutrRub2'
  22. Dilate(UnutrRub3, 1, A) → UnutrRub3'
  23. Dilate(UnutrRub4, 1, A) → UnutrRub4'
  24. Polygon(UnutrRub1', UnutrRub2', UnutrRub3', UnutrRub4') → UnutrasKutije', unutrrub1', unutrrub2', unutrrub3', unutrrub4'
  25. Polygon(VanjRub1, UnutrRub1, UnutrRub4, VanjRub4) → RubKutijeLijevi, vanjrub1, unutrrub1_1, unutrrub4_1, vanjrub4
  26. Polygon(VanjRub2, VanjRub3, UnutrRub3, UnutrRub2) → RubKutijeDesni, vanjrub2, vanjrub3, unutrrub3_1, unutrrub2_1
  27. Polygon(VanjRub3, VanjRub4, UnutrRub4, UnutrRub3) → RubKutijeGornji, vanjrub3_1, vanjrub4_1, unutrrub4_2, unutrrub3_2
  28. Segment(H, I) → h
  29. Segment(J, K) → i
  30. GCD(BrojBomb, Ukupno) → ZajDjelitelj
  31. Segment(L, M) → m
  32. Segment(N, O) → n

AI 绘图提示语参考

绘制一个巧克力盒的俯视图，盒子由外框和内部区域组成，内部被均匀划分为若干行和列的格子。部分格子中放置巧克力（用圆形或方形表示），其余格子为空。巧克力的数量是随机的，但整体呈现为矩形网格。盒子有厚度，用内外两层矩形表示边框。在图形下方或旁边，用文字或分数形式标注剩余巧克力与总格数的比例，以及已吃掉的比例。整体构图清晰，适合教学演示分数概念。
以上提示语为根据原始绘图命令整理而来，仅供参考。