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使用计数器加减整数

使用计数器加减整数
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2019-08-20 06:55
函数解析几何滑块动画函数图像
①本范例演示使用计数器直观展示整数加减法的运算过程；②涉及核心数学概念包括整数、加减法运算规则、数轴表示；③构造摘要中运用了 Flatten, Sequence, If, Textfield, SelectedElement 等命令，以及 n2text, addStep2mover, subStep1mover 等对象，实现了动态计数器和文本显示；④适合初中数学教学，帮助学生理解抽象的加减法运算。

GeoGebra 命令及参数

  1. Flatten(Sequence[Sequence[Point[{i, (-j)}], i, 1 / 2, 1 / 2 + floor(sqrt(If[n1 < 0, (-n1) + n1AddedNegative, n1AddedNegative])), 1], j, 1 / 2, 1 / 2 + floor(sqrt(If[n1 < 0, (-n1) + n1AddedNegative, n1AddedNegative])), 1]) → negativePoints
  2. Sequence(Max[abs(x(Element[negativePoints, i])), abs(y(Element[negativePoints, i]))], i, 1, Length[negativePoints]) → negativeSorter
  3. If(Length[negativePoints] > 0, First[Sort[negativePoints, negativeSorter], Max[(-n1) + n1AddedNegative, n1AddedNegative]], {}) → sortedNegativePoints
  4. Textfield(n1text) → InputBox1
  5. Textfield(n2text) → InputBox2
  6. Flatten(Sequence[Sequence[Point[{i, j}], i, 1 / 2, 1 / 2 + floor(sqrt(If[n1 > 0, n1 + n1AddedPositive, n1AddedPositive])), 1], j, 1 / 2, 1 / 2 + floor(sqrt(If[n1 > 0, n1 + n1AddedPositive, n1AddedPositive])), 1]) → positivePoints
  7. Sequence(Max[abs(x(Element[positivePoints, i])), abs(y(Element[positivePoints, i]))], i, 1, Length[positivePoints]) → positiveSorter
  8. If(Length[positivePoints] > 0, First[Sort[positivePoints, positiveSorter], Max[n1 + n1AddedPositive, n1AddedPositive]], {}) → sortedPositivePoints
  9. If(Length[sortedNegativePoints] > 0, Sequence[Circle[Element[sortedNegativePoints, i], 0.4], i, 1, Length[sortedNegativePoints]], {}) → negativeCircles
  10. If(Length[sortedPositivePoints] > 0, Sequence[Circle[Element[sortedPositivePoints, i], 0.4], i, 1, Length[sortedPositivePoints]], {}) → positiveCircles
  11. If((n1 * n2) < 0, Min[abs(n1), abs(n2)], 0) → extraZeros
  12. SelectedElement(addOrSub) → operation
  13. Textfield(n1Text) → InputBox3
  14. If(operation ≟ "+", n1 + n2, n1 - n2) → answer
  15. If(Max[{n1, n2, answer}] > 0, Max[{n1, n2, answer}], 0) → highestPositive
  16. If(Min[{n1, n2, answer}] > 0, 0, Min[{n1, n2, answer}]) → lowestNegative
  17. If(highestPositive ≟ lowestNegative, 10, ceil(sqrt(highestPositive))) → top
  18. Sequence(Text["+", Element[sortedPositivePoints, i] - (right / 50, (top + bottom) / 40)], i, 1, Length[sortedPositivePoints]) → plusSigns
  19. Sequence(Text["-", Element[sortedNegativePoints, i] - (right / 65, (top + bottom) / 40)], i, 1, Length[sortedNegativePoints]) → minusSigns

AI 绘图提示语参考

画一个用于演示整数加减法的交互式图形，包含正负计数器点、操作选择器、输入框和结果显示。正负计数器点根据输入的整数动态生成，并按大小排序，用圆圈表示。操作选择器用于选择加法或减法，根据输入整数和选择的操作计算结果，并在数轴上用加号或减号标记计数器点。输入框显示输入的整数，结果显示计算结果，整体布局清晰直观，适合教学使用。
以上提示语为根据原始绘图命令整理而来，仅供参考。