正多边形的反射对称
几何画板及绘图内容加载中,请稍等……
这个范例演示了正多边形的反射对称性。它涉及的核心数学概念包括反射对称和几何作图。通过使用GeoGebra命令如Polygon, Segment, Vector, Translate, LineBisector, Intersect等,可以构造出正多边形并观察其反射对称性。适合初中及以上学生学习几何变换和对称性。
GeoGebra 命令及参数
Polygon(A, B, 3) → poly1, f, g, h, CSegment(A, C) → iSegment(C, B) → jSegment(B, A) → kVector(D, E) → uVector(F, G) → vTranslate(A, u) → A'Translate(C, u) → C'Segment(A', C') → i'Translate(C, u) → C'_1Translate(B, u) → B'Segment(C'_1, B') → j'Translate(B, u) → B'_1Translate(A, u) → A'_1Segment(B'_1, A'_1) → k'Translate(A, v) → A'_2Translate(C, v) → C'_2Segment(A'_2, C'_2) → i'_1Translate(C, v) → C'_3Translate(B, v) → B'_2Segment(C'_3, B'_2) → j'_1Translate(B, v) → B'_3Translate(A, v) → A'_3Segment(B'_3, A'_3) → k'_1LineBisector(A, B) → lLineBisector(A', C') → mLineBisector(C'_2, B'_2) → nIntersect(l, k) → HPolygon(A, H, C) → poly2, c, a, h_1Intersect(m, i') → IPolygon(C', I, B') → poly3, b', c', i_1Intersect(n, j'_1) → JPolygon(A'_2, C'_2, J) → poly4, j_1, a'_2, c'_2