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矩形棱柱探索

矩形棱柱探索
几何画板及绘图内容加载中，请稍等……
2017-04-19 07:33
函数数列立体几何微积分
①本范例演示如何通过调整高度、长度和层数参数，动态展示矩形棱柱的三维形态；②涉及的核心数学概念包括立体几何、参数化建模、导数应用；③作图要点——从下方『构造摘要』提炼用到了 Sequence（数列）命令及对象height, length, layers, list1至list6；④适合高中及以上学生及数学爱好者用于理解三维图形构造与参数化变化，也可用于微积分初步教学。

GeoGebra 命令及参数

  1. Sequence(Segment[(n, height - n / 2), (n, ((-n)) / 2)], n, 0, length) → list1
  2. Sequence(Segment[(n + length, ((-length)) / 2 + n / 2), (n + length, ((-length)) / 2 + n / 2 + height)], n, 0, layers) → list2
  3. Sequence(Segment[(0, height - n), (length, ((-length)) / 2 - n + height)], n, 0, height) → list3
  4. Sequence(Segment[(length, ((-length)) / 2 + n), (length + layers, ((-length)) / 2 + n + layers / 2)], n, 0, height) → list4
  5. Sequence(Segment[(n, ((-n)) / 2 + height), (n + layers, layers / 2 - n / 2 + height)], n, 0, length) → list5
  6. Sequence(Segment[(n, height + n / 2), (n + length, height + n / 2 - length / 2)], n, 0, layers) → list6