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整数填数与排序关卡2：用数轴比较并进入下一难度

整数填数与排序关卡2：用数轴比较并进入下一难度
几何画板及绘图内容加载中，请稍等……
2024-05-23 18:25
数列解析几何不等式函数图像
所属专题 Ganze Zahlen & Arbeiten mit der Zahlengerade
该范例通过交互式“填入正确整数”任务，引导学生在数轴上比较并排序整数，从而完成3道题进入更高难度。核心数学概念包括：整数的比较与排序、借助数轴理解整数的大小关系，以及在非数学情境中解释整数的含义（如表示增减或相对位置）。作图与交互要点：界面含计时/次数统计与验证按钮（对象如btnValidate、attemptCount、correctCount、questionCount），题目根据关卡难度生成（对象level、counter与随机列表randomNumbers/NumberList1~3、StartList1~3/StepCList1~3），使用条件逻辑If与元素/点/文本输入（Element、Textfield、Point、Text）来呈现题目并判定答案（correct1/correct2/correct及反馈rectangleFeedback、show0）。数轴刻度与位置由坐标对象Origin、Segment、PointsList以及平移Translate等用于对齐数值显示；生成并排列候选整数集合，最后用Join/Sequence组织显示与步骤流程。适合小学高年级（约5-6年级）数感训练与课堂练习，也可用于个别辅导或巩固整数大小比较。

GeoGebra 命令及参数

  1. Join({{2}, Sequence[RandomElement[{2, 3, 4, 5}], k, 1, 99]}) → StepCList1
  2. Sequence(RandomElement[{2, 3, 4, 5}], k, 1, 100) → StepCList2, {3, 5, 5, 5, 2, 5, 3, 5, 2, 2, 3, 2, 3, 5, 5, 2, 3, 3, 5, 4, 4, 3, 2, 4, 4, 3, 5, 2, 2, 5, 2, 3, 3, 3, 2, 3, 4, 2, 3, 4, 4, 5, 5, 5, 4, 5, 3, 2, 3, 2, 3, 5, 4, 3, 4, 5, 5, 2, 2, 3, 2, 2, 3, 2, 2, 5, 5, 2, 3, 5, 4, 3, 2, 4, 2, 3, 2, 5, 4, 5, 5, 5, 5, 4, 5, 2, 5, 4, 5, 5, 3, 5, 3, 5, 4, 2, 2, 2, 4, 2}
  3. Random(-20, -10, 100) → StartList2, {-20, -15, -12, -12, -20, -13, -16, -20, -19, -15, -17, -10, -12, -17, -11, -16, -17, -19, -12, -10, -15, -19, -12, -13, -19, -17, -10, -12, -12, -19, -19, -11, -20, -13, -10, -11, -15, -17, -15, -19, -19, -12, -11, -10, -13, -17, -18, -17, -13, -15, -10, -17, -10, -11, -17, -11, -11, -10, -10, -14, -18, -12, -11, -18, -20, -10, -17, -12, -12, -11, -11, -16, -14, -11, -19, -16, -11, -17, -20, -19, -12, -14, -16, -14, -19, -10, -16, -19, -11, -19, -13, -16, -15, -12, -11, -20, -10, -16, -12, -20}
  4. Sequence(RandomElement[Remove[(StartList2(k))…(StartList2(k) + 20), Sequence[(m * StepCList2(k)), m, -25, 25]]], k, 1, 100) → NumberList2, {-17, -6, -7, 7, -17, 2, -7, -12, -3, 5, -5, 7, -5, -17, 9, -15, 2, -2, -3, 1, -11, -13, -7, -13, 1, 1, 3, -7, -9, -2, -13, -2, -5, -7, 7, 7, 1, -9, 2, -1, -15, 3, 6, 9, -10, -16, -11, -17, -4, -13, -4, -11, -6, 8, -15, -11, -1, 9, -3, -8, -13, -11, 8, -9, -19, 6, 2, 3, -5, 6, 6, -11, -11, -2, -11, -8, -9, -16, -17, -1, -4, 3, 1, 5, -17, -7, -6, -9, 6, -12, -10, -11, 2, -9, -9, -9, 3, -13, 6, -15}
  5. Sequence(RandomElement[{2, 3, 4, 5}], k, 1, 100) → StepCList3, {2, 3, 3, 4, 3, 2, 3, 2, 3, 3, 5, 3, 2, 2, 4, 2, 4, 4, 2, 4, 5, 2, 4, 4, 2, 5, 3, 3, 4, 4, 2, 4, 2, 2, 3, 2, 2, 4, 5, 2, 3, 2, 2, 3, 2, 4, 2, 5, 3, 5, 4, 4, 4, 4, 2, 2, 5, 4, 2, 2, 2, 4, 2, 5, 4, 4, 3, 3, 3, 3, 5, 3, 5, 3, 2, 2, 3, 2, 5, 4, 3, 5, 3, 2, 4, 5, 5, 4, 4, 2, 5, 5, 2, 4, 3, 5, 4, 4, 2, 3}
  6. If(level ≟ 1, 21, level ≟ 2, 21, 21) → anzahl
  7. Sequence(-10, k, 1, 100) → StartList1
  8. Random(-50, 30, 100) → StartList3, {-24, 13, -49, 23, -15, 21, -39, 17, 28, -41, 12, -7, -26, 12, -45, 12, 26, -47, -2, -23, -13, 16, 11, -43, 27, 28, -33, 18, -13, 10, -13, 20, -4, 14, -38, -16, 15, 20, -47, 29, 28, -27, -34, -10, 5, -13, -37, 14, 20, -34, 21, 3, 30, -42, 1, 24, 19, -1, -3, 11, 23, -17, -6, -25, -11, -36, 13, -18, 29, 4, -11, -5, 8, -10, -4, 1, 13, 23, 22, -30, -39, -44, -8, 23, 20, 3, -2, 4, -48, 24, -4, -38, -42, -4, 15, 22, -48, 18, 21, -17}
  9. Element(If[level ≟ 1, StepCList1, level ≟ 2, StepCList2, StepCList3], counter) → stepC
  10. If(level ≟ 1, StartList1(counter), level ≟ 2, StartList2(counter), StartList3(counter)) → startNumber
  11. If(show0, Mod[(-startNumber), stepC], 0) → diff
  12. Sequence(RandomElement[Join[{Remove[-10…-1, Sequence[(m * StepCList1(k)), m, -100, 100]], Remove[-10…10, Sequence[(m * StepCList1(k)), m, -100, 100]]}]], k, 1, 100) → NumberList1, {1, -6, -2, -7, -9, -7, -10, -1, -1, -7, 3, -3, -3, -9, -5, -8, -7, -3, 5, 1, -3, 5, -5, 3, -1, -1, -1, -7, -9, -9, -9, -8, -1, 3, 10, 7, 3, 7, 1, -9, -1, -5, -2, -3, -7, -2, -1, 4, -10, 1, -10, -2, -6, -7, 1, -8, -7, 1, -8, -7, -9, 1, -10, 1, -4, -9, -7, -5, -9, -9, -10, -3, -4, -9, -1, -3, -3, -4, -3, 6, -3, -1, 3, 9, -1, 5, -2, 7, -9, 9, -10, -7, -7, -2, -10, 7, -2, -1, -7, -4}
  13. Sequence(RandomElement[Remove[(StartList3(k))…(StartList3(k) + 20), Sequence[(m * StepCList3(k)), m, -25, 25]]], k, 1, 100) → NumberList3, {-13, 31, -38, 29, -2, 37, -23, 25, 29, -23, 29, -5, -21, 27, -39, 17, 45, -37, 15, -14, 4, 35, 25, -43, 43, 48, -32, 23, -5, 21, 1, 35, 3, 17, -37, -3, 19, 23, -41, 43, 34, -27, -23, -5, 23, -2, -17, 28, 28, -22, 23, 21, 33, -39, 11, 39, 34, 13, 9, 31, 43, -9, 1, -7, 6, -19, 32, 1, 44, 10, -3, 13, 11, 10, -1, 9, 26, 41, 39, -17, -23, -32, 4, 37, 39, 19, 14, 9, -43, 27, 6, -33, -35, -2, 32, 37, -41, 38, 27, -10}
  14. Element(If[level ≟ 1, NumberList1, level ≟ 2, NumberList2, NumberList3], counter) → number
  15. Sequence(Origin + ((-lengthAxis), 0) + (((k * 2) * lengthAxis / (anzahl - 1)), 0), k, 0, anzahl - 1) → PointsList
  16. Sequence(RandomElement[Remove[-10…10, Join[{Sequence[(m * StepCList1(k)), m, -100, 100], {NumberList1(k)}}]]], k, 1, 100) → NumberList12, {-7, 3, 8, 7, -3, -10, -9, 2, -3, -1, -3, -4, -7, -7, -4, 4, -9, 2, -6, 9, 1, 9, -7, -3, 6, -10, -5, -3, -8, 9, -4, -4, -5, -7, 5, -2, -6, 6, 6, 2, 4, -2, -9, 2, 1, -4, -2, 2, 8, 2, 3, 9, 6, -5, 8, 5, 5, 3, 1, -9, 7, 8, 10, 5, 9, 7, 1, -3, -5, -6, 10, 4, 10, 8, 5, 7, -7, -8, -9, -1, -7, 8, 10, -10, -5, -1, 6, -7, -5, 5, 8, -8, -4, 3, 4, -1, -10, 7, -2, -8}
  17. Element(If[level ≟ 1, NumberList1, level ≟ 2, NumberList2, NumberList3], counter) → number1
  18. Sequence(RandomElement[Remove[(StartList2(k))…(StartList2(k) + 20), Join[{Sequence[(m * StepCList2(k)), m, -25, 25], {NumberList2(k)}}]]], k, 1, 100) → NumberList22, {-4, 3, 7, -3, -11, 1, -10, -16, -7, -7, -8, 1, -8, -6, 8, -13, -13, -1, -2, -5, 2, -4, -5, -9, -10, -8, 7, 5, -7, -16, 1, 1, -14, -2, -7, -2, -6, -5, 5, 1, -2, 2, 9, 1, -2, -13, -2, -11, -2, 1, -8, 2, -2, -4, -7, 3, -6, -1, 1, -14, -7, -9, 5, 1, -17, -1, -17, -5, 2, 8, -7, 2, -9, -7, 1, 2, -7, -8, -7, -9, -8, -12, -9, -2, -8, -9, 1, -13, -3, -16, -11, 2, -5, -2, -7, -3, -7, -1, 3, -11}
  19. Sequence(RandomElement[Remove[(StartList3(k))…(StartList3(k) + 20), Join[{Sequence[(m * StepCList3(k)), m, -25, 25], {NumberList3(k)}}]]], k, 1, 100) → NumberList32, {-9, 17, -44, 38, 4, 41, -35, 27, 28, -26, 21, 8, -25, 13, -31, 13, 42, -43, -1, -15, 2, 33, 17, -41, 41, 46, -26, 25, -11, 17, -3, 23, 9, 25, -20, -5, 29, 27, -43, 31, 35, -19, -33, 1, 19, -3, -23, 27, 25, -16, 35, 17, 30, -30, 19, 27, 28, 1, 15, 25, 25, -14, 5, -23, -3, -21, 29, -10, 31, 17, -7, 7, 21, -7, 13, 17, 19, 35, 42, -21, -22, -38, -1, 23, 35, 6, 13, 17, -46, 39, 13, -34, -37, 15, 29, 41, -37, 25, 35, -2}
  20. Element(If[level ≟ 1, NumberList12, level ≟ 2, NumberList22, NumberList32], counter) → number2
  21. Join({Sequence[Origin + ((-lengthAxis), 0.75) + (((k * 2) * lengthAxis / (anzahl - 1)), 0), k, 0, anzahl - 1], Sequence[Origin + ((-lengthAxis), 0) + (((k * 2) * lengthAxis / (anzahl - 1)), 0), k, 0, anzahl - 1]}) → PointsListP
  22. Point(PointsListP) → PointP1
  23. Point(PointsListP) → PointP2
  24. Sequence(Random[1, 10], i, 1, 10) → randomNumbers, {5, 7, 3, 2, 5, 4, 6, 10, 9, 7}
  25. Element(randomNumbers, Mod[questionCount, Length[randomNumbers]] + 1) → randomNumber
  26. Textfield(input) → inputBox
  27. Segment(Origin + ((-lengthAxis) - 0.5, 0), Origin + (lengthAxis + 0.5, 0)) → segAxis
  28. Sequence(Origin + ((-lengthAxis), 0) + (((k * 2) * lengthAxis / (anzahl - 1)), 0), k, 0, anzahl - 1, stepM) → SelectablePoints
  29. Sequence(Text[(("\textsf{\(" * k) * "\)}"), PointsList(k - startNumber + 1) + (If[k < 0, -0.166, 0], (-segLength2)), false, true, 0, -1], k, startNumber + diff, startNumber + anzahl - 1 + diff, stepC) → CapList
  30. Sequence(Segment[PointsList(k) + (0, If[Mod[NumbersOnAxis(k), stepC] ≟ 0, (-segLength2), (-segLength1)]), PointsList(k) + (0, If[Mod[NumbersOnAxis(k), stepC] ≟ 0, segLength2, segLength1])], k, 1, 21, stepM) → SegAxisList
  31. Sequence(Text[(("\textsf{\(" * k) * "\)}"), PointsList(k - startNumber + 1) + OriginSol - Origin + (If[k < 0, -0.166, 0], (-segLength2)), false, true, 0, -1], k, startNumber + diff, startNumber + anzahl - 1 + diff, stepC) → CapListSol
  32. Sequence(Segment[PointsList(k) + OriginSol - Origin + (0, If[Mod[NumbersOnAxis(k), stepC] ≟ 0, (-segLength2), (-segLength1)]), PointsList(k) + OriginSol - Origin + (0, If[Mod[NumbersOnAxis(k), stepC] ≟ 0, segLength2, segLength1])], k, 1, 21, stepM) → SegAxisListSol
  33. Segment(OriginSol + ((-lengthAxis) - 0.5, 0), OriginSol + (lengthAxis + 0.5, 0)) → segAxisSol
  34. Sequence(OriginSol + ((-lengthAxis), 0) + (((k * 2) * lengthAxis / (anzahl - 1)), 0), k, 0, anzahl - 1) → PointsListSol
  35. Text((("\textsf{\textcolor{#db6114}{\small{\(" * number2) * "\)}}}"), PointP2 + (If[number2 < 0, -0.12, 0], 0), false, true, 0, 1) → Cap2
  36. Text((("\textsf{\textcolor{#db6114}{\small{\(" * number1) * "\)}}}"), PointP1 + (If[number1 < 0, -0.12, 0], 0.05), false, true, 0, 1) → Cap1
  37. Defined(index1) → clickableBtnValidate
  38. Sequence(k, k, startNumber + diff, startNumber + anzahl - 1 + diff, stepC) → AxisNumbers
  39. Sequence(Text[(((("\textsf{" * If[AllNumbers(k) ∈ AxisNumbers, "{", "\scriptsize{"]) * "\(") * AllNumbers(k)) * "\)}}"), PointsListSol(k) + (If[AllNumbers(k) < 0, -0.166, 0], (-segLength2)) + If[AllNumbers(k) ∈ AxisNumbers, (0, 0), AllNumbers(k) < 0, (0.05, 0), (0, 0)], false, true, 0, -1], k, 1, 21, 1) → CapListSolNew
  40. Translate(imgChilliRot1, Vector[PosImgChilliRot1, PosImgChilliRot1 + ((0.8 * dimChilli), 0)]) → imgChilliRot2
  41. Translate(imgChilliRot1, Vector[(2 * Vector[PosImgChilliRot1, PosImgChilliRot1 + ((0.8 * dimChilli), 0)])]) → imgChilliRot3
  42. Translate(imgChilliGrau1, Vector[PosImgChilliRot1, PosImgChilliRot1 + ((0.8 * dimChilli), 0)]) → imgChilliGrau2

AI 绘图提示语参考

画一个数轴，从-10到10，每隔一个单位画一个点。在数轴上随机选择一些整数点，用不同颜色的点标记。用户需要根据提示，在数轴上找到并输入两个指定整数的位置。数轴上还会有一些随机整数，用户需要判断这些整数的位置是否正确。
以上提示语为根据原始绘图命令整理而来，仅供参考。