同底数幂相除

同底数幂相除
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2024-10-16 17:46
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这个范例演示了同底数幂相除的法则。核心数学概念是幂的除法法则。通过使用GeoGebra命令如Textfield、Shuffle和If等,学生可以互动地学习和验证幂的除法规则。适合7-8年级的学生进行练习和理解。

GeoGebra 命令及参数

  1. Textfield(input1) → InputBox1
  2. Textfield(input2) → InputBox2
  3. Shuffle({1, 2}) → ModusList, {1, 2}
  4. Shuffle(Sequence[i, i, 4, 14]) → AStartList, {5, 10, 4, 6, 8, 12, 7, 11, 13, 14, 9}
  5. Shuffle(Sequence[i, i, 4, 14]) → AMidList, {13, 6, 11, 9, 4, 14, 10, 12, 8, 7, 5}
  6. If(questionCount < 4, questionCount, 4) → metaprogression
  7. Shuffle(Sequence[i, i, 1, avalue - 1]) → BStartList, {3, 4, 2, 1}
  8. Shuffle(Sequence[i, i, 1, avalue - 1]) → BMidList, {4, 2, 1, 3}
  9. Shuffle(Sequence[i, i, 2, 10]) → XStartList, {10, 5, 4, 3, 2, 9, 8, 6, 7}
  10. Shuffle(Sequence[i, i, -9, 18] \ {0}) → XGanzzhahlList, {11, -1, 13, 1, 7, -7, 16, 15, -4, 18, 9, -9, 12, -8, 14, 4, 6, 2, -3, 17, -2, -6, 10, 3, -5, 8, 5}
  11. Shuffle(Join[{XDezizahlList, XGanzzhahlList}]) → XMidList, {12, -5, 18, 9, 6, 8, 2, -7, -6, -3, 14, -9, 16, 1, 5, 13, -1, 11, 3, 15, 7, 4, -4, 17, -2, 10, -8}
  12. Polygon(PtopLeftCornerFeedback, PtopRightCornerFeedback, PbottomRightCornerFeedback, PbottomLeftCornerFeedback) → rectangleCorrect, rectangleCorrectS3, rectangleCorrectS4, rectangleCorrectS2, rectangleCorrectS1
  13. Shuffle(Sequence[Random[0, 10], i, 1, 100]) → randomNosForX, {4, 10, 2, 10, 1, 6, 10, 8, 6, 7, 2, 5, 6, 1, 5, 2, 10, 4, 8, 10, 9, 10, 7, 5, 4, 9, 2, 1, 2, 8, 2, 6, 5, 9, 7, 9, 10, 4, 8, 2, 4, 5, 0, 3, 5, 3, 9, 10, 7, 8, 7, 6, 4, 7, 0, 8, 5, 7, 5, 5, 1, 10, 9, 5, 0, 7, 3, 3, 9, 3, 1, 10, 2, 10, 8, 2, 7, 4, 9, 2, 2, 2, 2, 2, 8, 2, 0, 7, 3, 8, 6, 4, 8, 2, 10, 4, 0, 9, 5, 9}
  14. Element(randomNosForX, Mod[questionCount, 100] + 1) → numX
  15. Shuffle(Sequence[Random[0, 10], i, 1, 100]) → randomNosForY, {0, 6, 3, 4, 5, 5, 7, 2, 10, 1, 2, 0, 0, 2, 5, 1, 10, 10, 1, 0, 0, 7, 3, 0, 9, 0, 9, 0, 4, 2, 1, 1, 1, 5, 2, 8, 5, 0, 2, 2, 4, 8, 8, 10, 3, 9, 6, 7, 6, 4, 4, 5, 7, 2, 2, 0, 8, 8, 6, 5, 10, 1, 7, 5, 9, 3, 2, 5, 0, 5, 3, 0, 1, 5, 5, 9, 4, 1, 7, 9, 5, 3, 8, 3, 8, 10, 2, 3, 2, 5, 7, 7, 10, 0, 3, 3, 8, 9, 2, 6}
  16. Element(randomNosForY, Mod[questionCount, 100] + 1) → numY
  17. Append(true, Sequence[If[randomNosForX(i) ≟ randomNosForX(i - 1), false, true], i, 2, 100]) → stayX
  18. Append(true, Sequence[If[randomNosForY(i) ≟ randomNosForY(i - 1), false, true], i, 2, 100]) → stayY
  19. Remove(Sequence[If[stayX(i), randomNosForX(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForXwithoutRepeat
  20. Remove(Sequence[If[stayY(i), randomNosForY(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForYwithoutRepeat
  21. Element(randomNosForXwithoutRepeat, Mod[questionCount, Length[randomNosForXwithoutRepeat]] + 1) → numXwithoutRepeat
  22. Element(randomNosForYwithoutRepeat, Mod[questionCount, Length[randomNosForYwithoutRepeat]] + 1) → numYwithoutRepeat
  23. Text(Text2, E, false, true, -1, 0) → Text6
  24. Text(Text3, F, false, true, -1, 0) → Text7

AI 绘图提示语参考

在图中放置两个可输入的数值框,用于填写除法题的指数或相关参数,并让题目数量参与生成不同题面。随后生成一组用于布置网格位置的随机整数点,形成以同一底数为主题的练习区域:先用这些点确定矩形的四个角点并画出矩形边框,再在矩形内部用文本标注关键位置的符号,包含用于表示被除与除以的幂的文字,以及另外一处用于呈现比较或结果表达的文字。整体呈现为“用同底数幂的除法规则”的交互式题面,文本与矩形位置对应显示。
以上提示语为根据原始绘图命令整理而来,仅供参考。