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混合数相加

混合数相加
几何画板及绘图内容加载中，请稍等……
2022-07-11 15:47
解析几何几何作图
所属专题 Erstes Rechnen mit Brüchen - Addieren
本范例演示如何通过GeoGebra计算和简化混合数相加的结果。核心数学概念包括分数的加法。使用了Join, If, Translate, Textfield, Sequence, LaTeX等GeoGebra命令。适合小学五年级至六年级学生学习分数加法。

GeoGebra 命令及参数

  1. Join({{4}, Join[Sequence[Shuffle[{2, 3, 4}], i, 1, 100]]}) → randomCases
  2. Join({{8}, Sequence[Random[nenner, nenner + 2], i, 1, 100] \ {nenner}}) → randomzaehler1
  3. Join({{9}, Sequence[Random[1, (3 * nenner) - zaehler1 - 1], i, 1, 100] \ {nenner - zaehler1, (2 * nenner) - zaehler1, nenner, zaehler1}}) → randomzaehler2
  4. If(bruch3 ≟ 3, bruch3 ≟ input7, bruch3 ≟ input7 + input8 / input9 ∧ (¬inputUnechterBruch3)) → correct3
  5. If(case ≥ 3, Pos1, Pos2) → Pos
  6. Join({Sequence[Translate[UnitSquare, Vector[(i * (0, dy))]], i, 0, If[nenner ≟ 4, 2, If[nenner ≥ 3, 3, nenner]] - 1], Sequence[Translate[Translate[UnitSquare, (dxQuadrat, 0)], Vector[(i * (0, dy))]], i, 0, If[nenner ≟ 4, 5, nenner] - 3 - 1]}) → bruch11
  7. If(case ≥ 3, (0.65 * 2.5), (0.65 * 1.5)) → dx
  8. Translate(bruch11, (dx + dxPart2 + If[bruch2 < 1, 1, 0], 0)) → bruch21
  9. Translate(bruch21, (dx + dxPart2, 0)) → bruch31
  10. Translate(bruch31, (dx, 0)) → bruch32
  11. Translate(bruch32, (dx, 0)) → bruch33
  12. Translate(PosInput1, (dx + dxPart2, 0)) → PosInput2
  13. If(nenner ∈ {2, 4}, 2, 3) → zeilen
  14. Translate(bruch11, (dx, 0)) → bruch12
  15. Translate(bruch21, (dx, 0)) → bruch22
  16. Join({bruch11, bruch12}) → Bruch1
  17. Join({bruch21, bruch22}) → Bruch2
  18. Textfield(input1) → Eingabefeld1
  19. Textfield(input2) → Eingabefeld2
  20. Textfield(input3) → Eingabefeld3
  21. Textfield(input4) → Eingabefeld4
  22. Textfield(input5) → Eingabefeld5
  23. Textfield(input6) → Eingabefeld6
  24. Textfield(input7) → Eingabefeld7
  25. Textfield(input8) → Eingabefeld8
  26. Textfield(input9) → Eingabefeld9
  27. Translate(PosInput2, (dx + dxPart2 + dxDritterBruch, 0)) → PosInput3
  28. Join({bruch31, bruch32, bruch33}) → Bruch3
  29. Sequence(Bruch2(i, 1), i, 1, (bruch2 * nenner)) → showBruch2, {0.4225, 0.4225, 0.4225, 0.4225, 0.4225, 0.4225, 0.4225, 0.4225, 0.4225}
  30. Sequence(Bruch3(i, 1), i, 1, zaehler3) → showBruch3, {0.4225, 0.4225, 0.4225, 0.4225, 0.4225, 0.4225, 0.4225, 0.4225, 0.4225, 0.4225, 0.4225, 0.4225, 0.4225, 0.4225, 0.4225, 0.4225, 0.4225}
  31. If(bruch1 ≟ 1, Defined[input1], bruch1 > 1, Defined[((input1 * input2) * input3)], Defined[(input2 * input3)]) → fixed1
  32. Sequence(Bruch3(i, 1), i, 1, zaehler1) → showBruch41, {0.4225, 0.4225, 0.4225, 0.4225, 0.4225, 0.4225, 0.4225, 0.4225}
  33. Sequence(Bruch3(i, 1), i, zaehler1 + 1, zaehler3) → showBruch42, {0.4225, 0.4225, 0.4225, 0.4225, 0.4225, 0.4225, 0.4225, 0.4225, 0.4225}
  34. Sequence(Bruch3(i, 1), i, 1, zaehler2) → showBruch51, {0.4225, 0.4225, 0.4225, 0.4225, 0.4225, 0.4225, 0.4225, 0.4225, 0.4225}
  35. If(bruch2 ≟ 1, Defined[input4], bruch2 > 1, Defined[((input4 * input5) * input6)], Defined[(input5 * input6)]) → fixed2
  36. LaTeX(bruch1, true, true) → Text2
  37. LaTeX(bruch2, true, true) → Text3
  38. Vertex(bruch11(CountIf[x ≠ 0, bruch11], 1), 3) → B
  39. Vertex(bruch11(1, 1), 1) → A
  40. Vertex(bruch21(1, 1), 1) → C
  41. Vertex(bruch21(CountIf[x ≠ 0, bruch21], 1), 3) → D
  42. Sequence(Bruch1(i, 1), i, 1, (bruch1 * nenner)) → showBruch1, {0.4225, 0.4225, 0.4225, 0.4225, 0.4225, 0.4225, 0.4225, 0.4225}
  43. If(bruch3 ∈ {1, 2, 3}, Defined[input7], bruch3 > 1, Defined[((input7 * input8) * input9)], Defined[(input8 * input9)]) → fixed3
  44. Sequence(Bruch1(i, 1), i, 1, (bruch1 * nenner)) → showBruch1part1, {0.4225, 0.4225, 0.4225, 0.4225, 0.4225, 0.4225, 0.4225, 0.4225}
  45. Sequence(Bruch2(i, 1), i, 1, (bruch2 * nenner)) → showBruch2part1, {0.4225, 0.4225, 0.4225, 0.4225, 0.4225, 0.4225, 0.4225, 0.4225, 0.4225}
  46. Join({{txtQuestion1, txtQuestion2, txtQuestion3, txtQuestion4, txtHint1, txtHint2, txtHint3}, {Eingabefeld1, Eingabefeld2, Eingabefeld3, Eingabefeld4, Eingabefeld5, Eingabefeld6, Eingabefeld7, Eingabefeld8, Eingabefeld9}, {btnFixBruch, btnMoveableObjects, btnNew, btnSolution, btnValidate, btnZurück}}) → tabOrder

AI 绘图提示语参考

画一个包含两个混合数的图形，两个混合数分别表示为两个可移动的方块，方块的大小和位置根据用户输入的分子和分母确定。图形中还包含一个问题区域，用户需要输入两个混合数的和。图形的背景中有一个提示区域，提示用户如何输入正确的答案。
以上提示语为根据原始绘图命令整理而来，仅供参考。