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比较大小练习

比较大小练习
几何画板及绘图内容加载中，请稍等……
2023-11-02 21:39
不等式几何作图滑块动画
所属专题 Ordnen und Vergleichen von Bruchzahlen
这个范例演示了如何让学生比较和排序自然数以及非负的十进制和分数。涉及的核心数学概念包括数感、有理数比较。作图要点使用了GeoGebra命令如Shuffle, Element, Textfield, Polygon, Append, Remove, Reverse, Mod等来创建随机问题和交互式练习。适合小学5-6年级学生使用，用于练习比较和排序自然数以及非负的十进制和分数。

GeoGebra 命令及参数

  1. Shuffle(Sequence[RandomElement[{2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 15, 24}], i, 1, 100]) → randomB, {15, 5, 10, 4, 8, 6, 9, 5, 2, 9, 7, 12, 10, 6, 5, 15, 24, 7, 4, 4, 10, 10, 3, 24, 12, 15, 10, 12, 2, 24, 3, 15, 5, 24, 12, 9, 12, 24, 2, 15, 2, 4, 24, 12, 24, 4, 8, 5, 6, 24, 12, 12, 7, 15, 15, 24, 9, 5, 6, 4, 12, 6, 9, 4, 2, 9, 4, 2, 4, 10, 5, 5, 3, 5, 8, 12, 4, 3, 15, 3, 24, 3, 4, 4, 3, 3, 6, 6, 2, 8, 4, 15, 8, 6, 7, 3, 12, 4, 4, 8}
  2. Element(randomB, Mod[questionCount, 100] + 1) → numB
  3. Shuffle(Sequence[RandomElement[{2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 15, 24}], i, 1, 100] \ {numB}) → randomD, {12, 9, 15, 9, 8, 8, 2, 12, 10, 6, 12, 24, 6, 24, 7, 4, 7, 9, 24, 7, 12, 15, 10, 9, 6, 8, 15, 9, 4, 7, 12, 2, 10, 9, 2, 9, 8, 8, 10, 8, 8, 2, 3, 3, 2, 12, 10, 4, 8, 12, 2, 8, 4, 7, 3, 6, 2, 2, 12, 2, 4, 3, 9, 4, 9, 15, 3, 6, 10, 8, 10, 9, 24, 3, 6, 6, 3, 8, 24, 3, 15, 15, 7, 7, 6, 2, 7, 15, 9, 2}
  4. Element(randomD, Mod[questionCount, 100] + 1) → numD
  5. Shuffle(Sequence[Random[1, numB - 1], i, 1, 100]) → randomA, {3, 2, 4, 3, 3, 1, 4, 4, 3, 1, 4, 3, 4, 4, 4, 2, 3, 3, 2, 4, 4, 3, 3, 4, 4, 2, 4, 4, 2, 4, 1, 3, 4, 3, 2, 2, 2, 2, 1, 3, 4, 4, 3, 2, 4, 2, 2, 4, 1, 1, 4, 1, 4, 2, 4, 4, 4, 1, 1, 4, 2, 1, 4, 3, 4, 1, 4, 4, 4, 3, 1, 3, 3, 1, 3, 3, 3, 1, 1, 2, 2, 4, 1, 2, 1, 4, 2, 3, 3, 1, 3, 2, 4, 4, 4, 3, 2, 1, 3, 3}
  6. Shuffle(Sequence[RandomElement[{0, 1}], i, 1, 100]) → modelist, {1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1}
  7. Element(modelist, Mod[questionCount, 100] + 1) → mode
  8. Shuffle(Sequence[Random[1, numD - 1], i, 1, 100] \ {numA}) → randomC, {1, 5, 8, 1, 7, 8, 5, 1, 1, 6, 4, 4, 1, 4, 4, 8, 7, 1, 5, 5, 1, 3, 1, 1, 3, 8, 1, 6, 3, 7, 5, 6, 3, 6, 8, 8, 8, 6, 6, 5, 6, 4, 7, 7, 6, 3, 8, 5, 4, 5, 1, 3, 7, 8, 7, 4, 5, 5, 3, 4, 4, 3, 3, 3, 1, 7, 8, 8, 7, 8, 1, 6, 3, 8, 7, 8, 7, 6, 1, 8, 6, 5, 7, 1, 6, 8, 5, 7, 4, 7, 4, 8, 3}
  9. Textfield(input1) → InputBox1
  10. Textfield(input2) → InputBox2
  11. Polygon(PtopLeftCornerFeedback, PtopRightCornerFeedback, PbottomRightCornerFeedback, PbottomLeftCornerFeedback) → rectangleCorrect, rectangleCorrectS3, rectangleCorrectS4, rectangleCorrectS2, rectangleCorrectS1
  12. Shuffle(Sequence[Random[0, 10], i, 1, 100]) → randomNosForX, {4, 10, 4, 4, 9, 10, 2, 6, 2, 5, 3, 6, 8, 1, 3, 5, 5, 4, 10, 3, 3, 2, 5, 8, 7, 6, 0, 5, 9, 1, 5, 2, 10, 7, 5, 8, 0, 3, 3, 8, 4, 8, 6, 5, 10, 3, 10, 8, 8, 8, 4, 1, 0, 4, 10, 10, 9, 9, 4, 10, 5, 2, 6, 9, 7, 2, 8, 4, 9, 0, 5, 0, 7, 1, 1, 3, 2, 8, 0, 9, 3, 4, 2, 1, 8, 9, 10, 0, 6, 3, 7, 10, 9, 10, 4, 6, 1, 7, 8, 3}
  13. Element(randomNosForX, Mod[questionCount, 100] + 1) → numX
  14. Shuffle(Sequence[Random[0, 10], i, 1, 100]) → randomNosForY, {1, 7, 1, 6, 8, 7, 5, 5, 8, 4, 9, 10, 6, 0, 9, 8, 7, 3, 6, 2, 7, 4, 0, 5, 6, 5, 5, 3, 8, 7, 9, 7, 7, 3, 5, 4, 1, 3, 1, 3, 5, 1, 7, 8, 8, 7, 6, 6, 7, 0, 0, 5, 4, 1, 0, 2, 4, 3, 9, 9, 7, 5, 0, 1, 6, 8, 10, 6, 3, 10, 4, 9, 5, 2, 9, 3, 6, 2, 8, 0, 4, 7, 8, 10, 7, 4, 6, 2, 3, 9, 1, 10, 1, 10, 9, 7, 8, 6, 7, 3}
  15. Element(randomNosForY, Mod[questionCount, 100] + 1) → numY
  16. Append(true, Sequence[If[randomNosForX(i) ≟ randomNosForX(i - 1), false, true], i, 2, 100]) → stayX
  17. Append(true, Sequence[If[randomNosForY(i) ≟ randomNosForY(i - 1), false, true], i, 2, 100]) → stayY
  18. Remove(Sequence[If[stayX(i), randomNosForX(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForXwithoutRepeat
  19. Remove(Sequence[If[stayY(i), randomNosForY(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForYwithoutRepeat
  20. Element(randomNosForXwithoutRepeat, Mod[questionCount, Length[randomNosForXwithoutRepeat]] + 1) → numXwithoutRepeat
  21. Element(randomNosForYwithoutRepeat, Mod[questionCount, Length[randomNosForYwithoutRepeat]] + 1) → numYwithoutRepeat
  22. Reverse(Sequence[Mod[floor(numLeft / 10^(i)), 10], i, -15, 0]) → splitNumLeft
  23. Reverse(Sequence[Mod[floor(numRight / 10^(i)), 10], i, -15, 0]) → splitNumRight
  24. Mod(numA, numB) → modFrac1
  25. Mod(numC, numD) → modFrac2

AI 绘图提示语参考

画一个包含两个数字比较问题的图形，两个问题分别涉及自然数和非负分数的比较。图形中包含两个数字输入框，两个数字比较结果的矩形框，两个数字的比较模式选择框。数字比较模式可以选择为大于、小于或等于。图形中还包含两个数字的比较结果的线条，线条的颜色根据比较结果而变化。
以上提示语为根据原始绘图命令整理而来，仅供参考。