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Sports Field Renovation Math Exercise: Ratio and Algebra Application

Sports Field Renovation Math Exercise: Ratio and Algebra Application
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2023-10-18 22:17
In collections Wiederholung: Direkte und Indirekte Proportionalität Indirekte Proportionalität
This example demonstrates the use of geometric figures and algebraic methods to analyze the proportional relationships in sports field renovation. Key mathematical concepts include direct and indirect proportions, algebraic equation solving, and comparison and verification of solution paths. Construction involves GeoGebra commands such as If, Join, Polygon, and setting up input boxes and validatio

GeoGebra Commands & Parameters

  1. If(step ≟ 5, End1, H0) → H1
  2. Join(Sequence[Shuffle[Sequence[1, maxexnum]], m, 1, floor(110 / maxexnum)]) → listExNums
  3. Textfield(input1) → InputBox1
  4. Textfield(input2) → InputBox2
  5. Polygon(PtopLeftCornerFeedback, PtopRightCornerFeedback, PbottomRightCornerFeedback, PbottomLeftCornerFeedback) → rectangleCorrect, rectangleCorrectS3, rectangleCorrectS4, rectangleCorrectS2, rectangleCorrectS1
  6. Shuffle(Sequence[Random[0, 10], i, 1, 100]) → randomNosForX, {1, 4, 5, 1, 5, 3, 9, 5, 10, 5, 9, 8, 2, 2, 5, 9, 1, 6, 10, 0, 9, 0, 5, 5, 2, 8, 2, 3, 6, 0, 3, 5, 8, 0, 0, 8, 7, 7, 5, 5, 5, 9, 3, 8, 2, 2, 7, 3, 2, 2, 0, 1, 1, 9, 9, 2, 3, 4, 2, 7, 4, 7, 2, 5, 10, 5, 4, 3, 1, 0, 9, 9, 10, 2, 9, 2, 0, 2, 7, 1, 8, 10, 0, 8, 0, 9, 9, 1, 2, 2, 9, 3, 3, 4, 9, 0, 1, 5, 3, 8}
  7. Shuffle(Sequence[Random[0, 10], i, 1, 100]) → randomNosForY, {0, 9, 8, 0, 6, 9, 5, 10, 3, 10, 9, 2, 3, 3, 3, 1, 3, 8, 3, 4, 0, 6, 2, 5, 10, 6, 6, 9, 3, 7, 2, 2, 6, 3, 6, 7, 6, 2, 10, 6, 9, 5, 3, 1, 3, 6, 2, 7, 5, 8, 10, 10, 0, 3, 4, 10, 2, 0, 4, 1, 2, 5, 8, 2, 3, 10, 7, 9, 7, 10, 9, 8, 8, 3, 0, 8, 8, 10, 7, 1, 4, 8, 3, 8, 4, 10, 7, 8, 6, 3, 8, 8, 0, 4, 6, 9, 2, 9, 4, 0}
  8. Append(true, Sequence[If[randomNosForX(i) ≟ randomNosForX(i - 1), false, true], i, 2, 100]) → stayX
  9. Append(true, Sequence[If[randomNosForY(i) ≟ randomNosForY(i - 1), false, true], i, 2, 100]) → stayY
  10. Remove(Sequence[If[stayX(i), randomNosForX(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForXwithoutRepeat
  11. Remove(Sequence[If[stayY(i), randomNosForY(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForYwithoutRepeat
  12. Element(randomNosForXwithoutRepeat, Mod[questionCount, Length[randomNosForXwithoutRepeat]] + 1) → numXwithoutRepeat
  13. Element(randomNosForYwithoutRepeat, Mod[questionCount, Length[randomNosForYwithoutRepeat]] + 1) → numYwithoutRepeat
  14. SpeechBubbleRight(A_{2}, 6.38, 0.9) → Vieleck1
  15. Point(Line[Midpoint[B_{2}, B1], xAxis]) → C_{2}
  16. CircleArc(C_{2}, B_{2}, B1) → c
  17. CircleArc(D1 + Vector[C_{2}, B_{2}], D1, D_{2}) → d
  18. If(step ≟ 2, S, O) → J1_{2}
  19. Point(Line[H0, xAxis]) → H2_{1}
  20. If(step ≟ 5, End2, Z0) → Z1
  21. If(step ≟ 5, End3, J1_{2}) → J1
  22. Point(Line[A, xAxis]) → B
  23. Point(Line[A, xAxis]) → C
  24. Point(Line[D, xAxis]) → Da
  25. Point(Line[D, xAxis]) → Db
  26. Point(Line[D, xAxis]) → Dc