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异分母分数相加

异分母分数相加
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2022-11-16 17:28
所属专题 Wiederholung: Rechnen mit Dezimalzahlen und Brüchen
本范例演示如何通过通分来相加异分母分数。核心数学概念包括分数的通分和加法。使用了Join, LCM, Denominator, Numerator等GeoGebra命令。适合5-6年级学生练习分数加法。

GeoGebra 命令及参数

  1. Join({{1, 2, 3}, Sequence[RandomElement[{1, 1, 1, 2, 2, 3, 3}], i, 1, 100]}) → randomNosForTyp
  2. Join({{2}, Shuffle[Sequence[Random[If[typ ≥ 3, nenner1 + 1, 1], (If[typ ≥ 2, 3, 1] * nenner1)], i, 1, 100]] \ {nenner1, (2 * nenner1), (3 * nenner1)}}) → randomNosForA
  3. LCM(nenner1, nenner2) → kgv
  4. Denominator(solbruchohneganze) → solnenner
  5. Numerator(solbruchohneganze) → solzaehler
  6. If(Mod[input2, input3] ≟ 0, input4, If[ganze3 ≟ bruch3, input4, input4 + input5 / input6]) → studans2
  7. Textfield(input1) → InputBox1Typ2
  8. Textfield(input2) → InputBox2Typ2
  9. Append(true, Sequence[If[randomNosForA(i) ≟ randomNosForA(i - 1), false, true], i, 2, 100]) → stayX
  10. Append(true, Sequence[If[randomNosForC(i) ≟ randomNosForC(i - 1), false, true], i, 2, 100]) → stayY
  11. Remove(Sequence[If[stayX(i), randomNosForA(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForAwithoutRepeat
  12. Remove(Sequence[If[stayY(i), randomNosForC(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForCwithoutRepeat
  13. Textfield(input3) → InputBox3Typ2
  14. Textfield(input4) → InputBox4
  15. Textfield(input5) → InputBox5
  16. Textfield(input6) → InputBox6
  17. Textfield(input3) → InputBox3Typ1
  18. Textfield(input2) → InputBox2Typ1
  19. CountIf(x ≟ x, randomNosForBandD) → anzahlTupel
  20. LaTeX(solutionTextTyp1u2, true, true) → Text4
  21. Textfield(zw1zaehler1) → InputBoxZW1
  22. Textfield(zw1nenner1) → InputBoxZW2
  23. Textfield(zw2nenner1) → InputBoxZW4
  24. Textfield(zw2zaehler1) → InputBoxZW3
  25. Textfield(zw1ganze) → InputBoxZW0
  26. Translate(listFBZW1, (dxInputBox, 0)) → listFBZW2
  27. LaTeX(typ, true, true) → text5
  28. Translate(listFBInputBox1Typ1u2, (dxInputBox + 1.06, 0)) → listFBInputBox1Typ1u2'