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分数扩展

分数扩展
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2022-08-10 19:39
所属专题 Bruchzahlen: Erweitern und Kürzen Wiederholung II: Erweitern & Kürzen, Darstellungsarten
本范例演示了如何扩展分数。它涉及的核心数学概念是分数的扩展和简化。作图要点包括使用 GeoGebra 的 Join、Element、If 等命令和对象，如 bInput、questionCount、randomNosForY 等。适合的学段或用途是中小学数学教育，特别是初中六年级。

GeoGebra 命令及参数

  1. Join({{4}, Shuffle[Sequence[Random[2, 10], i, 1, 100]]}) → randomNosForY
  2. Element(randomNosForY, Mod[questionCount, 100]) → numY
  3. Join({{1}, Shuffle[Sequence[Random[1, numY - 1], i, 1, 100]]}) → randomNosForX
  4. Element(randomNosForX, Mod[questionCount, 100]) → numX
  5. Join({{3}, Shuffle[Sequence[Random[2, 10], i, 1, 100]]}) → randomNosForZ
  6. Element(randomNosForZ, Mod[questionCount, 100]) → numZ
  7. If(questionCount ≟ 1, aInput ≟ 3, aInput ≟ (numX * numZ)) → correct1
  8. If(questionCount ≟ 1, bInput ≟ 12, bInput ≟ (numY * numZ)) → correct2
  9. Textfield(aInput) → InputBox1
  10. Textfield(bInput) → InputBox2
  11. Polygon(PtopLeftCornerFeedback, PtopRightCornerFeedback, PbottomRightCornerFeedback, PbottomLeftCornerFeedback) → rectangleCorrect, ptopleftcornerfeedback, ptoprightcornerfeedback, pbottomrightcornerfeedback, pbottomleftcornerfeedback
  12. Defined((aInput * bInput)) → fixed
  13. Segment(A, B) → f
  14. CircleArc(C, D, E) → c
  15. CircleArc(F, G, H) → d
  16. Point(c) → I
  17. Vector(I, J) → u
  18. Point(d) → K
  19. Vector(K, L) → v
  20. Polygon(PtopLeftCornerFeedback_{1}, PtopRightCornerFeedback_{1}, PbottomRightCornerFeedback_{1}, PbottomLeftCornerFeedback_{1}) → rectangleCorrect_{1}, ptopleftcornerfeedback_{1}, ptoprightcornerfeedback_{1}, pbottomrightcornerfeedback_{1}, pbottomleftcornerfeedback_{1}
  21. CircleArc(M, N, O) → e
  22. CircleArc(P, Q, R) → g
  23. Point(e) → S
  24. Vector(S, T) → w
  25. Point(g) → U
  26. Vector(U, V) → a