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除法演示

除法演示
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2019-01-04 09:25
概率统计几何作图函数图像
①本范例演示了除法运算的几何表示，通过可视化方式展示被除数、除数、商和余数的关系；②涉及核心数学概念包括除法、频率分布、泊松分布、中位数、箱线图；③作图要点使用了Textfield, If, Sequence, First, Last, Min, Max, Segment, Text等GeoGebra命令和对象，如n, divisor, dividendList, remainderList等；④适合高中及以上数学学习者，用于理解除法运算和数据分析。

GeoGebra 命令及参数

  1. Textfield(nText) → InputBox1
  2. If(n / divisor ≟ floor(n / divisor), false, true) → hasR
  3. Sequence(((-columns)) / 2 + i - 1 / 2, i, 1, columns) → xValues
  4. Sequence(((-divisor) - 1) / 2 + i, i, 1, divisor) → yValues
  5. First(Flatten[Sequence[Sequence[Point[{xValues(i), yValues(j)}], j, 1, Length[yValues]], i, 1, columns]], n) → list2
  6. If(hasR, First[list2, (divisor * Div[n, divisor])], list2) → dividendList
  7. Last(list2, n - (divisor * Div[n, divisor])) → remainderList
  8. Min(xValues) → left
  9. Max(xValues) → right
  10. Min(yValues) → bottom
  11. Max(yValues) → top
  12. Sequence(Circle[Element[dividendList, i], 0.4], i, 1, Length[dividendList]) → dividendCircles
  13. Sequence(Circle[Element[remainderList, i], 0.4], i, 1, Length[remainderList]) → remainderCircles
  14. Segment((left, bottom) + (-1 / 2, -1 / 2), (right, bottom) + (1 / 2, -1 / 2)) → i
  15. Segment((left, top) + (-1 / 2, 1 / 2), (right, top) + (1 / 2, 1 / 2)) → j
  16. Sequence(Segment[(left + i, bottom) + (-1 / 2, -1 / 2), (left + i, top) + (-1 / 2, 1 / 2)], i, 0, Length[xValues]) → dividendBoxes
  17. Text(If[hasR, " + " + (Mod[n, divisor]), ""]) → text4
  18. Sequence(Circle[Element[moving, i], 0.4], i, 1, Length[moving]) → movingCircles