多边形外角图解演示

几何画板及绘图内容加载中，请稍等……

2017-12-22 21:42

所属专题 Mathematics Form 2

①本范例通过图形演示多边形外角的性质与计算；②涉及核心数学概念包括多边形外角和定理、向量运算、解析几何；③构造过程中运用了 Append, Sequence, Insert, Polygon, PointIn, SelectedIndex 等GeoGebra命令及对象，如点、向量、多边形等；④适合高中数学教学与几何学习，帮助理解多边形外角与内角关系。

GeoGebra 命令及参数

Append(Sequence[LPoint(p), p, 1, n], A) → SPs
Sequence(Segment[SPs(p), SPs(p + 1)], p, 1, n) → Sisi
Sequence(Circle[LPoint(p), r], p, 1, n) → Bulat1
Sequence(Intersect[Bulat1(p), Sisi(p)], p, 1, n) → SP1
Insert(Angle[SPs(2), SPs(1), SPs(-2)], Sequence[Angle[SPs(p), SPs(p - 1), SPs(p - 2)], p, 3, n + 1], 1) → IntAng
Sequence(Rotate[SP1(p), (-(180° - IntAng(p))), SPs(p)], p, 1, n) → SP2
Sequence(CircleSector[SPs(p), SP2(p), SP1(p)], p, 1, n) → Sektor
Polygon(Take[SPs, 1, n]) → Poligon
PointIn(Poligon) → M
Sequence(Vector[SPs(p), M], p, 1, n) → Vektor
Sequence(Translate[Sektor(p), (a * Vektor(p))], p, 1, n) → Mv
Sequence(Line[SPs(p), SP2(p)], p, 1, n) → SLine
Sequence(Circle[LPoint(p), (2 * r)], p, 1, n) → Bulat2
Sequence(Intersect[Bulat2(p), SLine(p), SP2(p)], p, 1, n) → SP3
Sequence(Segment[SPs(p), SP3(p)], p, 1, n) → SSeg
SelectedIndex(Bahasa) → nn