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分数转换为有限小数

分数转换为有限小数
几何画板及绘图内容加载中，请稍等……
2022-11-26 10:32
解析几何
本范例演示如何将分数转换为有限小数。通过创建分数及其对应的有限小数，学生可以探索分数与小数之间的关系。本活动涉及的 GeoGebra 命令包括 centerBox, Zip, If, Element, Corner, Sequence, Segment, IndexOf, Flatten, Text 等。适合初中6-8年级学生进行数学概念的理解与应用。

GeoGebra 命令及参数

  1. centerBox((1.1 * boxWidth), (1.1 * boxHeight), SolnAnchor) → solnBox
  2. Zip(IsInRegion[A, solnBox], A, allPoints) → countRegion4
  3. centerBox((1.1 * boxWidth), (1.1 * boxHeight), DenomAnchor1) → boxDenom1
  4. Zip(IsInRegion[A, boxDenom1], A, allPoints) → countRegion3
  5. centerBox((1.1 * boxWidth), (1.1 * boxHeight), DenomAnchor10) → boxDenom10
  6. Zip(IsInRegion[A, boxDenom10], A, allPoints) → countRegion2
  7. centerBox((1.1 * boxWidth), (1.1 * boxHeight), NumerAnchor) → boxNumer
  8. Zip(IsInRegion[A, boxNumer], A, allPoints) → countRegion1
  9. If(countEntries ≟ {1, 1, 1, 1}, (10 * IndexOf[true, countRegion2]) + IndexOf[true, countRegion3], NaN) → studentDenom
  10. If(countEntries ≟ {1, 1, 1, 1}, IndexOf[true, countRegion4] / 10, NaN) → studentQuotient
  11. If(countEntries ≟ {1, 1, 1, 1}, IndexOf[true, countRegion1], NaN) → studentNumer
  12. Element({P1, P2, P3, P4, P5, P6, P7, P8, P9}, movingIndex) → PMove
  13. centerBox(boxWidth, boxHeight, P9) → box9
  14. centerBox(boxWidth, boxHeight, P8) → box8
  15. centerBox(boxWidth, boxHeight, P7) → box7
  16. centerBox(boxWidth, boxHeight, P6) → box6
  17. centerBox(boxWidth, boxHeight, P5) → box5
  18. centerBox(boxWidth, boxHeight, P4) → box4
  19. centerBox(boxWidth, boxHeight, P3) → box3
  20. centerBox(boxWidth, boxHeight, P2) → box2
  21. centerBox(boxWidth, boxHeight, P1) → box1
  22. Corner(5) → Dims
  23. Sequence(HomeAnchor + ((A * (boxWidth + spacer)), 0), A, 0, 8) → homeLocations
  24. Segment(LinePos + (-1, 0), LinePos + (-12, 0)) → divisionLine
  25. IndexOf({studentNumer, studentDenom}, studentAnswers) → studentAnsIndex
  26. Zip(makeBox[A, boxWidth, boxHeight], A, homeLocations) → boxPlaceHolders
  27. Flatten(RemoveUndefined[Zip[If[IsInRegion[PMove, Element[{box1, box2, box3, box4, box5, box6, box7, box8, box9}, A]] ∧ A ≠ movingIndex, {B, A}], A, destinationOrder, B, {1, 2, 3, 4, 5, 6, 7, 8, 9}]]) → overlapInfo
  28. Zip(Text[("" * A), B, true, true, 0, 0], A, {1, 2, 3, 4, 5, 6, 7, 8, 9}, B, {P1, P2, P3, P4, P5, P6, P7, P8, P9}) → digitText
  29. centerBox(boxWidth, boxHeight, PMove) → highlightBox
  30. Text(("" * movingIndex), PMove, true, true, 0, 0) → highlightLbl
  31. Text(("" * movingIndex), PMove, true, true, 0, 0) → highlightLabel
  32. IndexOf(true, Zip[IsInRegion[PMove, A], A, {boxNumer, boxDenom10, boxDenom1, solnBox}]) → locationPMove
  33. Element({boxNumer, boxDenom10, boxDenom1, solnBox}, locationPMove) → highlightFrame
  34. Sequence(Zip[Length[destinationAnchors(A) - B] < 0.1, B, {P1, P2, P3, P4, P5, P6, P7, P8, P9}], A, 1, 4) → findPlacedPoints

AI 绘图提示语参考

该图形由多个矩形框组成，分别代表分母、分子和最终解框。框内标注数字，框外有对应点标记。图形包含一条水平线段和文本标签，用于显示分数与小数的对应关系。构造顺序为：先绘制各框，再放置点标记，接着添加线段和文本，最后调整位置以确保对应关系清晰。
以上提示语为根据原始绘图命令整理而来，仅供参考。