幂的乘方

幂的乘方
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2024-10-16 17:46
所属专题 Rechnen mit Potenzen
本范例演示了幂的乘方运算,涉及的核心数学概念是幂的运算规则。通过使用GeoGebra命令如Textfield、Shuffle等,学生可以理解和应用幂的乘方规则。适合7-8年级学生进行练习。

GeoGebra 命令及参数

  1. Textfield(input1) → InputBox1
  2. Textfield(input2) → InputBox2
  3. Shuffle({1, 2}) → ModusList, {2, 1}
  4. Shuffle(Sequence[i, i, 2, 9]) → AStartList, {5, 6, 3, 4, 7, 8, 9, 2}
  5. Shuffle(Sequence[i, i, 2, 9]) → AMidList, {5, 7, 2, 9, 4, 6, 8, 3}
  6. If(questionCount < 4, questionCount, 4) → metaprogression
  7. Shuffle(Sequence[i, i, 2, 9]) → BStartList, {9, 2, 3, 6, 8, 5, 4, 7}
  8. Shuffle(Sequence[i, i, 2, 9]) → BMidList, {3, 2, 7, 5, 8, 9, 6, 4}
  9. Shuffle(Sequence[i, i, 2, 10]) → XStartList, {2, 10, 7, 9, 6, 8, 3, 5, 4}
  10. Shuffle(Sequence[i, i, -9, 18] \ {0}) → XGanzzhahlList, {12, -2, -4, 8, 1, -3, -7, 11, 7, 18, 5, 4, 15, -6, 10, 3, 17, 16, -9, 2, 6, -8, -5, 13, 9, 14, -1}
  11. Shuffle(Sequence[i, i, 20, 50]) → XDezizahlListHelper, {21, 39, 34, 29, 33, 40, 43, 38, 23, 30, 26, 49, 24, 32, 31, 28, 45, 36, 37, 42, 47, 25, 41, 48, 20, 50, 46, 44, 22, 35, 27}
  12. Shuffle(Join[{XDezizahlList, XGanzzhahlList}]) → XMidList, {11, 2, 12, 18, 4.3, 3.2, 7, 5, 8, 17, 13, 4.6, -5, 2.7, 3.6, -9, 3.1, 3.7, 3.4, 4.1, 2.5, 4, 4.5, 6, 3.3, 2.2, 1, 2.6, 3.5, 4, 4.4, 3.9, 2.1, 3, -4, -3, 2.3, 9, 10, 2, -2, 3, 16, -6, 4.9, 4.8, -1, 15, 5, 2.4, 3.8, 2.9, 2.8, 14, 4.2, 4.7, -7, -8}
  13. Polygon(PtopLeftCornerFeedback, PtopRightCornerFeedback, PbottomRightCornerFeedback, PbottomLeftCornerFeedback) → rectangleCorrect, rectangleCorrectS3, rectangleCorrectS4, rectangleCorrectS2, rectangleCorrectS1
  14. Shuffle(Sequence[Random[0, 10], i, 1, 100]) → randomNosForX, {4, 5, 8, 10, 6, 9, 6, 9, 1, 2, 0, 5, 7, 9, 0, 5, 6, 0, 10, 3, 4, 6, 0, 1, 4, 4, 1, 1, 5, 0, 5, 5, 7, 6, 10, 9, 1, 3, 2, 6, 0, 6, 2, 5, 1, 1, 3, 6, 8, 5, 0, 7, 3, 10, 2, 1, 5, 8, 6, 2, 0, 9, 1, 6, 6, 4, 9, 1, 7, 8, 4, 0, 5, 3, 5, 8, 8, 3, 5, 3, 5, 1, 1, 3, 10, 0, 3, 1, 4, 6, 8, 1, 9, 1, 1, 3, 7, 0, 9, 3}
  15. Element(randomNosForX, Mod[questionCount, 100] + 1) → numX
  16. Shuffle(Sequence[Random[0, 10], i, 1, 100]) → randomNosForY, {9, 7, 1, 0, 8, 7, 0, 0, 3, 7, 4, 2, 3, 8, 10, 2, 2, 1, 10, 8, 6, 0, 4, 4, 3, 3, 7, 6, 2, 0, 7, 0, 10, 1, 6, 0, 1, 4, 7, 9, 10, 1, 8, 3, 10, 7, 7, 5, 9, 1, 0, 8, 1, 8, 5, 0, 8, 0, 7, 7, 2, 4, 7, 5, 0, 6, 2, 6, 1, 7, 0, 10, 7, 2, 0, 3, 6, 7, 1, 6, 3, 9, 1, 3, 2, 8, 8, 7, 10, 7, 0, 5, 1, 10, 0, 4, 7, 9, 7, 4}
  17. Element(randomNosForY, Mod[questionCount, 100] + 1) → numY
  18. Append(true, Sequence[If[randomNosForX(i) ≟ randomNosForX(i - 1), false, true], i, 2, 100]) → stayX
  19. Append(true, Sequence[If[randomNosForY(i) ≟ randomNosForY(i - 1), false, true], i, 2, 100]) → stayY
  20. Remove(Sequence[If[stayX(i), randomNosForX(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForXwithoutRepeat
  21. Remove(Sequence[If[stayY(i), randomNosForY(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForYwithoutRepeat
  22. Element(randomNosForXwithoutRepeat, Mod[questionCount, Length[randomNosForXwithoutRepeat]] + 1) → numXwithoutRepeat
  23. Element(randomNosForYwithoutRepeat, Mod[questionCount, Length[randomNosForYwithoutRepeat]] + 1) → numYwithoutRepeat
  24. Text(Text2, E, false, true, -1, 0) → Text6
  25. Text(Text3, F, false, true, -1, 0) → Text7

AI 绘图提示语参考

画一个用于指数运算练习的图形:提供两个输入框让用户填写题目参数;再构造一组顶点并形成一个矩形框(四个角点围合成矩形),用于承载题目内容。矩形的四个角点按顺序连接生成边界。然后在矩形外或旁边添加两段可显示的题干文本,分别用于显示参数 E 与 F 的内容。整体要求图形结构清晰,矩形作为核心显示区域,文本与矩形位置配套展示。
以上提示语为根据原始绘图命令整理而来,仅供参考。