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中位数、众数与平均数的解读

中位数、众数与平均数的解读
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2025-11-11 21:15
解析几何概率统计
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本范例通过动态图形帮助学生理解中位数、众数与平均数的概念。通过调整数据点的位置，学生可以直观地观察到这些统计特征的变化。GeoGebra 命令包括 Shuffle, Sequence, Element, IndexOf, Point, Textfield, If, Polygon 等。适合初中5-6年级学生学习。

GeoGebra 命令及参数

  1. Shuffle(Sequence[Random[1, 3], i, 1, 100]) → randomNosPositionAnswerCorrect1, {2, 1, 3, 3, 1, 3, 1, 2, 3, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 3, 1, 1, 1, 1, 1, 1, 3, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 3, 3, 2, 2, 3, 2, 2, 1, 1, 3, 1, 2, 2, 1, 3, 1, 3, 1, 3, 1, 1, 1, 1, 3, 2, 3, 3, 3, 2, 3, 2, 3, 3, 3, 2, 2, 3, 2, 2, 2, 2, 3, 1, 2, 1, 1, 2, 1, 2, 1, 2, 3, 1, 1, 2, 2, 2, 1, 3, 2, 2, 3, 3}
  2. Sequence(RandomElement[Remove[Sequence[3], {randomNosPositionAnswerCorrect1(i)}]], i, 1, 100) → randomNosPositionAnswerWrong1, {1, 3, 1, 2, 3, 1, 3, 3, 1, 1, 3, 3, 1, 3, 1, 2, 3, 2, 3, 2, 3, 3, 2, 3, 3, 3, 2, 3, 3, 1, 2, 2, 3, 3, 2, 1, 3, 1, 1, 3, 1, 2, 1, 3, 2, 2, 2, 3, 1, 1, 2, 2, 2, 1, 3, 2, 2, 2, 2, 3, 1, 3, 2, 1, 2, 3, 1, 1, 1, 1, 1, 3, 3, 2, 1, 3, 3, 3, 1, 3, 1, 2, 3, 3, 3, 1, 2, 1, 1, 3, 3, 3, 3, 1, 3, 1, 1, 1, 1, 1}
  3. Element(randomNosPositionAnswerCorrect1, Mod[questionCount, 100] + 1) → numPositionAnswerCorrect1
  4. Shuffle({1, 2, 3, 4, 5, 6}) → NosCase, {5, 2, 1, 3, 6, 4}
  5. Element(randomNosPositionAnswerWrong1, Mod[questionCount, 100] + 1) → numPositionAnswerWrong1
  6. IndexOf(true, checkboxes) → SelectedCheckbox
  7. Point(Line[F11, Vector[(0, 0), (0, -1.2)]]) → F21
  8. Textfield(aInput) → InputBox1
  9. Textfield(bInput) → InputBox2
  10. If(numPositionAnswerCorrect1 ≟ 1 ∧ checkbox1 ≟ true, true, false) → c1
  11. If(numPositionAnswerCorrect1 ≟ 2 ∧ checkbox2 ≟ true, true, false) → c2
  12. If(numPositionAnswerCorrect1 ≟ 3 ∧ checkbox3 ≟ true, true, false) → c3
  13. Sequence(RandomElement[Remove[Remove[Sequence[3], {randomNosPositionAnswerCorrect1(i)}], {randomNosPositionAnswerWrong1(i)}]], i, 1, 100) → randomNosPositionAnswerWrong2, {3, 2, 2, 1, 2, 2, 2, 1, 2, 3, 2, 2, 3, 2, 3, 3, 1, 3, 1, 1, 2, 2, 3, 2, 2, 2, 1, 1, 2, 3, 3, 3, 1, 2, 3, 3, 2, 2, 2, 1, 3, 1, 3, 1, 3, 3, 1, 2, 3, 3, 3, 1, 3, 2, 2, 1, 3, 3, 3, 2, 2, 1, 1, 2, 1, 1, 2, 3, 2, 2, 2, 1, 1, 1, 3, 1, 1, 1, 2, 2, 3, 3, 2, 1, 2, 3, 3, 3, 2, 2, 2, 1, 1, 3, 2, 2, 3, 3, 2, 2}
  14. Element(randomNosPositionAnswerWrong2, Mod[questionCount, 100] + 1) → numPositionAnswerWrong2
  15. Polygon({PtopLeftCornerFeedback, (x(PbottomRightFeedback), y(PtopLeftCornerFeedback)), PbottomRightFeedback, (x(PtopLeftCornerFeedback), y(PbottomRightFeedback))}) → rectangleCorrect
  16. Polygon({PtopLeftCornerFeedback1, (x(PbottomRightFeedback1), y(PtopLeftCornerFeedback1)), PbottomRightFeedback1, (x(PtopLeftCornerFeedback1), y(PbottomRightFeedback1))}) → rectangleCorrect1
  17. Polygon({PtopLeftCornerFeedback2, (x(PbottomRightFeedback2), y(PtopLeftCornerFeedback2)), PbottomRightFeedback2, (x(PtopLeftCornerFeedback2), y(PbottomRightFeedback2))}) → rectangleCorrect2

AI 绘图提示语参考

绘制一个动态图形，展示数据点的中位数、众数和平均数。图形包含随机生成的数据点，以及通过调整这些点位置来观察统计特征变化的动态元素。图形中应有一个矩形，其位置根据数据点的位置变化而变化，并显示正确的中位数位置。
以上提示语为根据原始绘图命令整理而来，仅供参考。