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Geogebra立体几何范例：立方体与长方体的多视图观察

Geogebra立体几何范例：立方体与长方体的多视图观察
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2021-08-11 19:48
所属专题 Wiederholung: Quader und Würfel
本范例通过Geogebra软件演示立方体与长方体的不同视图，帮助学生理解三维几何概念。核心数学概念包括空间几何、立体图形特征及视图转换。作图要点涉及使用PointIn、Sequence、Intersect等Geogebra命令构建几何对象，并利用Shuffle等功能动态调整视图。适合小学中高年级学生用于几何学习及课堂互动。

GeoGebra 命令及参数

  1. PointIn(xOyPlane) → quaderA
  2. Sequence(quaderA + (0, 0, i), i, 1, 5) → listforE
  3. Sequence(quaderA + (i, 0, 0), i, 1, 4) → listforB
  4. Point(listforB) → quaderB
  5. Sequence(quaderB + (0, i, 0), i, 1, 4) → listforC
  6. Shuffle(1…numberOfQuestions) → randomQuestions, {6, 7, 5, 1, 8, 2, 3, 4}
  7. Element(randomQuestions, Mod[questionCount, Length[randomQuestions]] + 1) → randomQuestion
  8. Element(allQuestions, randomQuestion) → actualQuestion
  9. Shuffle(Sequence[Element[actualQuestion, i], i, 2, numberOfAnswers + 1]) → actualAnswersShuffled, {{"Ein Quader hat\\ 24 Ecken.", false}, {"Ein Quader hat\\ 12 Kanten.", true}, {"Ein Quader hat\\ 6 Flächen.", true}}
  10. Element(actualAnswersShuffled, 3) → actualAnswer03
  11. Element(actualAnswer03, 2) → chk03Expected
  12. Element(actualAnswersShuffled, 2) → actualAnswer02
  13. Element(actualAnswer02, 2) → chk02Expected
  14. Element(actualAnswersShuffled, 1) → actualAnswer01
  15. Element(actualAnswer01, 2) → chk01Expected
  16. Point(listforC) → quaderC
  17. Intersect(Line[quaderA, Segment[quaderB, quaderC]], Line[quaderC, Segment[quaderA, quaderB]]) → quaderD
  18. Point(listforE) → quaderE