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异分母分数减法进阶（含假分数转换）

异分母分数减法进阶（含假分数转换）
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2024-01-03 14:52
所属专题 Wiederholung: Rechnen mit Dezimalzahlen und Brüchen
本范例演示了异分母分数的减法运算，特别涉及将结果转换为假分数的过程。核心数学概念包括分数减法、最小公倍数（LCM）的应用、分数转换等。构造过程中运用了GeoGebra命令如Join, LCM, RandomElement, Corner, If, Textfield, Shuffle, Append, Remove, Element, IsInteger及对象showhint3, showhint1, inputsol2, inputsol1, inputh, inputg, inputd, inputc, inputb, inputa, questionCount, A1至A10等，以实现交互式练习和即时反馈。适合小学高年级（5-6年级）学生，用于分数减法技能的强化训练。

GeoGebra 命令及参数

  1. Join(Sequence[Shuffle[Sequence[1, 36]], m, 1, 5]) → randomNosExnum
  2. LCM(numB, numD) → inputnennererweitert
  3. RandomElement({{4, 22}, {14, 17}, {15, 23}, {14, 18}, {6, 29}, {12, 24}, {4, 31}, {15, 30}, {6, 16}, {4, 22}, {6, 22}, {9, 23}, {1, 19}, {4, 22}, {2, 25}}) → startValues, {14, 17}
  4. LCM(numB, numD) → vielfaches
  5. Corner(TextAngabe, 3) → P
  6. If(sol1raw < sol2raw, sol1raw / GCD[sol1raw, sol2raw], (sol1raw - (sol2raw * floor(sol1raw / sol2raw))) / GCD[sol1raw, sol2raw]) → sol1
  7. If(sol1raw < sol2raw, 0, floor(sol1raw / sol2raw)) → sol0
  8. Textfield(inputa) → Eingabefelda
  9. Textfield(inputb) → Eingabefeldb
  10. Shuffle(Sequence[Random[0, 10], i, 1, 100]) → randomNosForY, {8, 1, 1, 5, 10, 5, 6, 10, 10, 9, 7, 1, 3, 8, 4, 7, 0, 2, 3, 3, 4, 1, 7, 0, 4, 1, 9, 5, 0, 4, 3, 9, 5, 3, 2, 2, 3, 8, 7, 0, 3, 3, 2, 3, 4, 3, 2, 7, 2, 7, 6, 2, 5, 6, 0, 4, 10, 10, 6, 6, 0, 4, 10, 5, 2, 0, 1, 8, 7, 9, 7, 9, 6, 3, 3, 0, 6, 6, 5, 7, 0, 0, 4, 8, 6, 10, 6, 2, 6, 6, 1, 10, 1, 5, 1, 1, 4, 0, 4, 10}
  11. Append(true, Sequence[If[randomNosForY(i) ≟ randomNosForY(i - 1), false, true], i, 2, 100]) → stayY
  12. Remove(Sequence[If[stayY(i), randomNosForY(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForYwithoutRepeat
  13. Element(randomNosForYwithoutRepeat, Mod[questionCount, Length[randomNosForYwithoutRepeat]] + 1) → numYwithoutRepeat
  14. IsInteger(sol1 / sol2) → checkWholeNum
  15. LaTeX(checkWholeNum, true, true) → Text3
  16. Textfield(inputc) → Eingabefeldc
  17. Textfield(inputd) → Eingabefeldd
  18. Textfield(inpute) → Eingabefelde
  19. Textfield(inputf) → Eingabefeldf
  20. Textfield(inputg) → Eingabefeldg
  21. Textfield(inputsol1) → Eingabefeldsol1
  22. Textfield(inputsol2) → Eingabefeldsol2
  23. LCM(numB, numD) → sol2test
  24. LCM(numB, numD) → a
  25. Textfield(inputh) → Eingabefeldh
  26. IsInteger(sol0 + sol1 / sol2) → checkGanzzahlig