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简单除法的意义

简单除法的意义
几何画板及绘图内容加载中，请稍等……
2017-06-01 00:51
函数几何作图
所属专题 Division Strategies
这个范例通过几何画板演示简单除法的意义。它涉及的核心数学概念是除法。通过使用GeoGebra命令如Mod, Flatten, Sequence等，可以构造出除法的可视化模型。适合小学高年级或初中学生学习除法概念。

GeoGebra 命令及参数

  1. Mod(dividend, divisor) → remainder
  2. Flatten(Sequence[Sequence[A + (i, j), j, 0, divisor - 1], i, 0, quotient + 1]) → arrayforunits
  3. Sequence(Polygon[Element[arrayforunits, i], Element[arrayforunits, i] + (1, 0), 4], i, 1, counter) → list2
  4. Flatten(Sequence[Sequence[A + (i, j), j, 0, divisor], i, 0, quotient + 1]) → arrayforappearance
  5. Polygon(A, A + (quotient, 0), A + (quotient, divisor), A + (0, divisor)) → productpoly, a, f, g, h
  6. Text(divisor, Midpoint[h] + (adjusthorizontal, 0)) → text1
  7. Text(quotient, Midpoint[g] + (0, adjustvertical)) → text2
  8. Polygon(A + (quotient, 0), A + (quotient + 1, 0), A + (quotient + 1, remainder), A + (quotient, remainder)) → remainderpoly, i, j, k, l
  9. Text(remainder, Midpoint[j] - (adjusthorizontal, 0)) → text3
  10. Textfield(dividendtext) → dividendinput
  11. Textfield(divisortext) → divisorinput
  12. Sequence(Text[i, Centroid[Element[list2, i]]], i, 1, dividend) → list1