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Seifenblasen-Quiz：比较有理数与图形展示

Seifenblasen-Quiz：比较有理数与图形展示
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2025-06-04 17:41
所属专题 Ordnen und Vergleichen von rationalen Zahlen
这个范例通过Seifenblasen（肥皂泡）游戏演示有理数的比较与排序。核心数学概念包括有理数的比较、数轴表示以及图形化表达。作图要点涉及使用GeoGebra命令如Shuffle、Spline、Textfield、Polygon等来创建动态图形和交互元素。适合小学7-8年级学生用于练习有理数比较和数轴表示，适用于课堂教学或自主学习。

GeoGebra 命令及参数

  1. Shuffle({1, 2, 3, 4, 5, 6, 7, 8, 9, 10}) → ExNumList, {4, 2, 9, 6, 3, 10, 5, 8, 7, 1}
  2. Spline({Spline4Start, Spline4Mid, Spline4End}, 3) → Spline4
  3. Spline({Spline3Start, Spline3Mid, Spline3End}, 3) → d
  4. Spline({Spline2Start, Spline2Mid, Spline2End}, 3) → b
  5. Spline({Spline1Start, Spline1Mid, Spline1End}, 3) → a
  6. Textfield(input1) → InputBox1
  7. Textfield(input2) → InputBox2
  8. Polygon(PtopLeftCornerFeedback, PtopRightCornerFeedback, PbottomRightCornerFeedback, PbottomLeftCornerFeedback) → rectangleCorrect, rectangleCorrectS3, rectangleCorrectS4, rectangleCorrectS2, rectangleCorrectS1
  9. Shuffle(Sequence[Random[0, 10], i, 1, 100]) → randomNosForX, {9, 7, 4, 1, 2, 7, 2, 3, 3, 5, 6, 2, 5, 1, 2, 0, 6, 7, 2, 7, 3, 6, 9, 8, 6, 3, 9, 3, 7, 8, 8, 5, 10, 2, 0, 8, 1, 0, 6, 8, 8, 2, 7, 9, 0, 9, 5, 1, 3, 10, 3, 6, 3, 1, 9, 4, 0, 10, 8, 5, 4, 6, 5, 3, 1, 5, 7, 2, 2, 6, 8, 2, 0, 2, 1, 6, 8, 5, 2, 2, 6, 4, 3, 10, 5, 2, 2, 8, 9, 1, 2, 6, 1, 2, 3, 2, 1, 9, 2, 6}
  10. Element(randomNosForX, Mod[questionCount, 100] + 1) → numX
  11. Shuffle(Sequence[Random[0, 10], i, 1, 100]) → randomNosForY, {1, 6, 6, 6, 5, 3, 8, 10, 7, 6, 2, 5, 10, 10, 8, 5, 1, 9, 10, 10, 3, 5, 7, 3, 3, 8, 6, 5, 9, 9, 0, 4, 8, 5, 0, 10, 5, 2, 0, 9, 2, 9, 4, 4, 8, 7, 2, 0, 6, 10, 9, 6, 8, 10, 4, 7, 2, 4, 3, 5, 9, 10, 0, 8, 5, 10, 10, 9, 6, 3, 0, 10, 10, 3, 10, 3, 10, 2, 8, 5, 2, 6, 9, 7, 6, 10, 5, 0, 10, 1, 2, 10, 5, 1, 0, 5, 9, 3, 4, 1}
  12. Element(randomNosForY, Mod[questionCount, 100] + 1) → numY
  13. Append(true, Sequence[If[randomNosForX(i) ≟ randomNosForX(i - 1), false, true], i, 2, 100]) → stayX
  14. Append(true, Sequence[If[randomNosForY(i) ≟ randomNosForY(i - 1), false, true], i, 2, 100]) → stayY
  15. Remove(Sequence[If[stayX(i), randomNosForX(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForXwithoutRepeat
  16. Remove(Sequence[If[stayY(i), randomNosForY(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForYwithoutRepeat
  17. Element(randomNosForXwithoutRepeat, Mod[questionCount, Length[randomNosForXwithoutRepeat]] + 1) → numXwithoutRepeat
  18. Element(randomNosForYwithoutRepeat, Mod[questionCount, Length[randomNosForYwithoutRepeat]] + 1) → numYwithoutRepeat
  19. Circle(MaschineBtnPos, radiusBTN) → c
  20. Text(Text1, MC1TextPos, false, true, 0, 0) → Text6
  21. Text(Text2, MC2TextPos, false, true, 0, 0) → Text7
  22. Text(Text3, MC3TextPos, false, true, 0, 0) → Text8
  23. Text(Text4, MC4TextPos, false, true, 0, 0) → Text9
  24. Text("\textsf{\bold{Klick mich!}}", MaschineBtnPos + (-0.25, 1.25), false, true, 1, 0) → CapClickMe
  25. Segment(Midpoint[Corner[CapClickMe, 1], Corner[CapClickMe, 2]], Midpoint[Corner[CapClickMe, 1], Corner[CapClickMe, 2]] + (0.5 * Vector[Midpoint[Corner[CapClickMe, 1], Corner[CapClickMe, 2]], MaschineBtnPos])) → segClickMe