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Tabellenklecks - 比例计算训练：通过几何图形理解直接与间接比例关系

Tabellenklecks - 比例计算训练：通过几何图形理解直接与间接比例关系
几何画板及绘图内容加载中，请稍等……
2023-10-18 22:17
所属专题 Wiederholung: Direkte und Indirekte Proportionalität Indirekte Proportionalität
这个范例通过几何图形演示比例计算，帮助学生理解直接与间接比例关系。核心数学概念包括比例、比例常数和图形变换。作图要点包括使用GeoGebra命令如Textfield、Shuffle、Element、Polygon等来创建动态图形。适合小学五年级到六年级学生，用于代数和比例练习。

GeoGebra 命令及参数

  1. Textfield(input1) → InputBox1
  2. Shuffle(Sequence[Random[1, 12], i, 1, 100]) → randomNosForY, {8, 1, 10, 8, 7, 11, 7, 6, 5, 4, 11, 8, 11, 1, 5, 6, 8, 3, 1, 6, 7, 6, 8, 6, 8, 6, 10, 7, 1, 7, 12, 3, 4, 12, 6, 4, 1, 9, 2, 6, 8, 3, 7, 6, 1, 9, 4, 5, 7, 5, 10, 1, 10, 11, 9, 3, 6, 3, 12, 2, 12, 8, 12, 8, 12, 2, 6, 4, 8, 7, 11, 9, 2, 10, 7, 10, 1, 9, 2, 7, 8, 1, 7, 7, 5, 6, 7, 9, 12, 2, 11, 4, 9, 1, 5, 2, 12, 11, 10, 7}
  3. Element(randomNosForY, Mod[questionCount, 100] + 1) → numY
  4. Shuffle(Sequence[Random[2, 10], i, 1, 100]) → randomNosForX, {3, 5, 4, 2, 4, 3, 8, 10, 9, 7, 8, 10, 9, 4, 10, 9, 10, 3, 5, 10, 6, 8, 2, 9, 4, 2, 3, 9, 3, 7, 10, 9, 6, 10, 8, 8, 5, 10, 7, 4, 7, 6, 7, 8, 9, 7, 4, 6, 8, 6, 9, 4, 8, 6, 4, 10, 7, 10, 6, 5, 7, 8, 4, 4, 6, 4, 10, 3, 7, 9, 3, 7, 7, 3, 5, 6, 2, 2, 4, 9, 10, 6, 3, 2, 10, 7, 10, 5, 9, 6, 7, 7, 2, 3, 8, 6, 7, 3, 5, 8}
  5. Element(randomNosForX, Mod[questionCount, 100] + 1) → numX
  6. Shuffle(Sequence[Random[2, 10], i, 1, 100]) → randomNosForZ, {6, 10, 2, 9, 7, 8, 10, 9, 7, 4, 5, 6, 2, 8, 3, 5, 2, 9, 10, 4, 5, 9, 10, 5, 9, 10, 8, 5, 9, 8, 2, 4, 10, 2, 8, 3, 4, 2, 6, 9, 2, 8, 4, 8, 7, 6, 7, 4, 8, 7, 5, 7, 6, 10, 4, 10, 9, 7, 2, 3, 5, 3, 5, 10, 7, 9, 8, 8, 5, 2, 2, 2, 2, 5, 10, 3, 9, 7, 7, 8, 9, 4, 4, 6, 8, 8, 6, 2, 6, 4, 10, 7, 5, 5, 6, 6, 8, 8, 8, 7}
  7. Textfield(input2) → InputBox2
  8. Polygon(PtopLeftCornerFeedback, PtopRightCornerFeedback, PbottomRightCornerFeedback, PbottomLeftCornerFeedback) → rectangleCorrect, rectangleCorrectS3, rectangleCorrectS4, rectangleCorrectS2, rectangleCorrectS1
  9. Append(true, Sequence[If[randomNosForX(i) ≟ randomNosForX(i - 1), false, true], i, 2, 100]) → stayX
  10. Append(true, Sequence[If[randomNosForY(i) ≟ randomNosForY(i - 1), false, true], i, 2, 100]) → stayY
  11. Remove(Sequence[If[stayX(i), randomNosForX(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForXwithoutRepeat
  12. Remove(Sequence[If[stayY(i), randomNosForY(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForYwithoutRepeat
  13. Element(randomNosForXwithoutRepeat, Mod[questionCount, Length[randomNosForXwithoutRepeat]] + 1) → numXwithoutRepeat
  14. Element(randomNosForYwithoutRepeat, Mod[questionCount, Length[randomNosForYwithoutRepeat]] + 1) → numYwithoutRepeat
  15. Point(Line[Midpoint[A1, A], xAxis]) → B
  16. CircleArc(Midpoint[A, A3] + (0.2, 0), A, A3) → c
  17. CircleArc(A3 + Vector[A1, B], A2, A3) → d
  18. Mirror(c, Line[C, yAxis]) → c'
  19. Mirror(d, Line[C, yAxis]) → d'
  20. Mirror(A1, Line[C, yAxis]) → A1'
  21. Mirror(A3, Line[C, yAxis]) → A3'
  22. Textfield(input3) → Eingabefeld1
  23. Textfield(input4) → Eingabefeld2
  24. Textfield(input5) → Eingabefeld3
  25. Textfield(input6) → Eingabefeld4
  26. Textfield(input7) → Eingabefeld5
  27. Textfield(input8) → Eingabefeld6
  28. Shuffle(Sequence[Random[2, 10], i, 1, 100]) → randomNosForZOriginal, {6, 8, 3, 10, 8, 6, 10, 3, 9, 8, 9, 2, 6, 10, 10, 9, 7, 4, 2, 7, 5, 5, 5, 6, 3, 8, 2, 8, 8, 4, 5, 6, 6, 3, 7, 4, 10, 9, 10, 10, 10, 2, 4, 5, 5, 9, 2, 6, 8, 9, 6, 4, 6, 3, 10, 9, 10, 5, 9, 3, 6, 4, 7, 8, 7, 10, 7, 4, 3, 7, 6, 8, 2, 6, 10, 4, 5, 8, 8, 3, 5, 2, 10, 10, 8, 8, 2, 10, 5, 6, 10, 10, 8, 5, 9, 2, 7, 6, 3, 7}