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Composite Figures: 3D Solid Recognition Exercise

Composite Figures: 3D Solid Recognition Exercise
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2021-08-11 18:29
In collections Wiederholung: Quader und Würfel
This GeoGebra example allows students to observe and identify composite solid figures (cuboids, cones, etc.) from various 3D viewpoints. Key mathematical concepts include: 3D spatial cognition, orthographic projections, and structural analysis of combined geometric bodies. Construction uses Shuffle command for random question selection, Element command to retrieve specific shapes, and CheckBox for

GeoGebra Commands & Parameters

  1. Shuffle(1…numberOfQuestions) → randomQuestions, {5, 3, 7, 1, 4, 2, 6}
  2. Element(randomQuestions, Mod[questionCount, Length[randomQuestions]] + 1) → randomQuestion
  3. Element(allQuestions, randomQuestion) → actualQuestion
  4. Shuffle(Sequence[Element[actualQuestion, i], i, 2, numberOfAnswers + 1]) → actualAnswersShuffled, {{"Kugel", false}, {"Kegel", false}, {"Zylinder", true}, {"Würfel", true}, {"Pyramide", false}, {"Quader, aber kein Würfel", false}}
  5. Element(actualAnswersShuffled, 3) → actualAnswer03
  6. Element(actualAnswersShuffled, 2) → actualAnswer02
  7. Element(actualAnswersShuffled, 1) → actualAnswer01
  8. Element(actualAnswersShuffled, 4) → actualAnswer04
  9. Element(actualAnswersShuffled, 5) → actualAnswer05
  10. Element(actualAnswersShuffled, 6) → actualAnswer06
  11. Element(actualAnswer06, 2) → chk06Expected
  12. Element(actualAnswer05, 2) → chk05Expected
  13. Element(actualAnswer04, 2) → chk04Expected
  14. Element(actualAnswer01, 2) → chk01Expected
  15. Element(actualAnswer02, 2) → chk02Expected
  16. Element(actualAnswer03, 2) → chk03Expected
  17. Cone((0, 0, 2), (0, 0, 5), 1) → figur022kegel, figur012kegel_{2}, figur012kegel_{3}
  18. Cone((0, 0, 1), (0, 0, -3), 1.5) → figur031kegel, figur021kegel_{2}, figur021kegel_{3}
  19. Cone((0, 0, 1), (0, 0, 4), 2.5) → figur042kegel, figur032kegel_{2}, figur032kegel_{3}
  20. Cone((0, 0, 1), (0, 0, 5), 1.5) → figur062kegel, figur062kegel_{2}, figur062kegel_{3}