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乘积的幂运算规则练习

乘积的幂运算规则练习
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2024-10-16 17:46
函数不等式函数图像
所属专题 Rechnen mit Potenzen
本范例通过互动练习帮助学生掌握乘积的幂运算规则(ab)ⁿ=aⁿ·bⁿ。学生需要针对随机生成的题目，判断给出的等式是否正确，并进行验证。构造要点：使用Textfield命令创建输入框接收学生答案，通过Shuffle命令随机打乱题目顺序，Element命令从列表中抽取题目，validate和showanswer命令实现答案验证与提示功能，attemptCount和correctCount记录练习次数与正确率。题目涵盖整数指数的乘积运算，培养学生描述、应用和论证基本幂运算规则的能力，适合七至八年级学生课堂练习或自主复习。

GeoGebra 命令及参数

  1. Textfield(input1) → InputBox1
  2. Textfield(input2) → InputBox2
  3. Shuffle(Sequence[Element[Shuffle[Sequence[(k * 2), k, 1, 50] \ Shuffle[Sequence[(k * 10), k, 1, 10]]], i], i, 1, 5]) → RandomList2, {78, 82, 56, 64, 22}
  4. Shuffle(Sequence[Element[Shuffle[Sequence[(k * 5), k, 1, 20] \ Shuffle[Sequence[(k * 10), k, 1, 10]]], i], i, 1, 5]) → RandomList5, {65, 15, 45, 15, 55}
  5. Shuffle(Sequence[Element[Shuffle[Sequence[(k * 10), k, 1, 10]], i], i, 1, 5]) → RandomList10, {50, 10, 10, 50, 20}
  6. Shuffle(Join[{RandomList2, RandomList5, RandomList10}]) → RandomListNum, {82, 15, 55, 15, 50, 65, 56, 20, 50, 64, 10, 22, 45, 78, 10}
  7. Shuffle({1, 2, 3, 4, 5, 6}) → ExNumList, {1, 3, 2, 5, 6, 4}
  8. Shuffle({1, 2, 3}) → Order, {2, 1, 3}
  9. Polygon(PtopLeftCornerFeedback, PtopRightCornerFeedback, PbottomRightCornerFeedback, PbottomLeftCornerFeedback) → rectangleCorrect, rectangleCorrectS3, rectangleCorrectS4, rectangleCorrectS2, rectangleCorrectS1
  10. Shuffle(Sequence[Random[0, 10], i, 1, 100]) → randomNosForX, {2, 10, 8, 4, 10, 9, 0, 1, 8, 7, 9, 3, 3, 10, 5, 7, 1, 8, 9, 10, 10, 10, 4, 8, 5, 6, 5, 9, 8, 6, 6, 8, 3, 4, 5, 10, 10, 0, 9, 3, 1, 7, 4, 3, 6, 10, 3, 9, 2, 8, 4, 5, 5, 10, 8, 0, 4, 5, 7, 5, 9, 0, 7, 6, 3, 8, 3, 7, 7, 4, 8, 10, 7, 9, 1, 7, 3, 4, 9, 5, 10, 5, 8, 4, 3, 3, 7, 5, 4, 6, 10, 8, 5, 2, 5, 8, 6, 8, 4, 1}
  11. Element(randomNosForX, Mod[questionCount, 100] + 1) → numX
  12. Shuffle(Sequence[Random[0, 10], i, 1, 100]) → randomNosForY, {1, 7, 7, 9, 0, 0, 9, 2, 9, 6, 0, 7, 0, 4, 4, 8, 4, 3, 6, 3, 1, 10, 3, 9, 1, 9, 9, 0, 9, 8, 5, 5, 6, 1, 1, 9, 5, 9, 4, 6, 4, 2, 5, 8, 0, 7, 5, 0, 3, 5, 7, 7, 10, 10, 9, 6, 0, 7, 3, 5, 6, 0, 1, 0, 7, 10, 10, 9, 8, 8, 4, 10, 10, 3, 4, 0, 3, 10, 8, 4, 1, 2, 4, 7, 8, 7, 10, 6, 4, 6, 3, 5, 8, 0, 10, 5, 6, 5, 8, 4}
  13. Element(randomNosForY, Mod[questionCount, 100] + 1) → numY
  14. Append(true, Sequence[If[randomNosForX(i) ≟ randomNosForX(i - 1), false, true], i, 2, 100]) → stayX
  15. Append(true, Sequence[If[randomNosForY(i) ≟ randomNosForY(i - 1), false, true], i, 2, 100]) → stayY
  16. Remove(Sequence[If[stayX(i), randomNosForX(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForXwithoutRepeat
  17. Remove(Sequence[If[stayY(i), randomNosForY(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForYwithoutRepeat
  18. Element(randomNosForXwithoutRepeat, Mod[questionCount, Length[randomNosForXwithoutRepeat]] + 1) → numXwithoutRepeat
  19. Element(randomNosForYwithoutRepeat, Mod[questionCount, Length[randomNosForYwithoutRepeat]] + 1) → numYwithoutRepeat
  20. Shuffle({1, 2}) → Vis1, {2, 1}
  21. Shuffle({1, 2}) → Vis2, {2, 1}
  22. Shuffle({1, 2}) → Vis3, {2, 1}
  23. Corner(PostIt11, 3) → PostIt1_3
  24. Corner(PostIt11, 4) → PostIt1_4
  25. Corner(PostIt21, 3) → PostIt2_3
  26. Corner(PostIt21, 4) → PostIt2_4
  27. Corner(PostIt31, 3) → PostIt3_3
  28. Corner(PostIt31, 4) → PostIt3_4
  29. Length(AuswahlAnzahlList) → auswahlanzahl
  30. Text(correctText, CorrP, false, true, 0, 0) → Text4
  31. Text(PostText1Helper, A, false, true, 0, 0) → PostText1
  32. Text(PostText2Helper, B, false, true, 0, 0) → PostText2
  33. Text(PostText3Helper, C, false, true, 0, 0) → PostText3

AI 绘图提示语参考

画一个包含多个随机分布的点的图形，点的坐标由两个随机数序列生成，序列中每个数字代表 x 轴或 y 轴上的一个点的坐标。图形中还包含一个随机分布的点的序列，用于表示某些点的坐标是否连续或重复。请根据给定的随机数序列生成这些点，并将它们绘制在图形中。
以上提示语为根据原始绘图命令整理而来，仅供参考。