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组合图形识别：立体几何视图练习

组合图形识别：立体几何视图练习
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2021-08-11 18:29
所属专题 Wiederholung: Quader und Würfel
本范例通过GeoGebra 3D视图功能，让学生从不同角度观察和识别由立方体、长方体、圆锥等基本立体图形组合而成的复合几何体。核心数学概念包括：三维空间认知、立体图形的投影与视图、组合图形的结构分析。构造要点：使用Shuffle命令随机抽取问题，Element命令选取具体图形，配合CheckBox复选框实现交互式答题，系统自动判断答案正确性。适合5-6年级学生练习几何图形识别与空间想象能力，也可作为教师课堂教学的互动演示材料。

GeoGebra 命令及参数

  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}