滚动多边形

几何画板及绘图内容加载中，请稍等……

2015-02-12 16:30

圆多边形三角函数

这个范例演示了多边形在圆上的滚动现象。核心数学概念包括多边形、圆和三角函数。通过使用GeoGebra命令如Circle、Line、Point等，可以构造出多边形在圆上的滚动动画。适合初中及以上学生学习几何作图和动态几何。

GeoGebra 命令及参数

Circle(A, B) → C
Line(C_1, D) → a
Line(E, F) → b
Line(G, H) → d
Point(C) → P
OrthogonalLine(P, a) → e
OrthogonalLine(P, b) → f
OrthogonalLine(P, d) → g
Intersect(d, g) → T_1
Intersect(e, a) → T_2
Segment(P, T_2) → h
Segment(P, T_1) → i
OrthogonalLine(P, b) → m
Intersect(b, m) → T_3
Polygon(T_2, T_1, T_3) → Polygon1, m_1, l, j
AngularBisector(m_1, j) → k, n
AngularBisector(l, m_1) → r, s
Intersect(n, s) → Pt
Segment(P, T_3) → p
AttachCopyToView(PolyLine[(-5.707901171693298, -2.743374698724938), (-5.744714378467704, -2.7556457676497406), (-5.781527585242111, -2.7679168365745426), (-5.818340792016517, -2.7801879054993446), (-5.855153998790924, -2.7924589744241466), (-5.89196720556533, -2.817001112273751), (-5.928780412339737, -2.8415432501233555), (-5.965593619114143, -2.8538143190481575), (-6.00240682588855, -2.8660853879729595), (-6.051491101587758, -2.8783564568977615), (-6.088304308362165, -2.890627525822564), (-6.125117515136571, -2.915169663672168), (-6.161930721910978, -2.92744073259697), (-6.198743928685384, -2.9397118015217725), (NaN, NaN), (-6.223286066534989, -2.902898594747366), (-6.211014997610187, -2.8660853879729595), (-6.211014997610187, -2.817001112273751), (-6.186472859760582, -2.7801879054993446), (NaN, NaN), (-6.198743928685384, -2.9397118015217725), (-6.149659652986176, -2.9397118015217725), (-6.112846446211769, -2.9519828704465745), (-6.076033239437363, -2.9642539393713765), (-6.039220032662956, -2.988796077220981), (-6.00240682588855, -3.001067146145783), true], 1, (-6.554604927504647, -3.295572800341034), (8.624707332475616, 7.736118163056075), (0, 899), (1237, 0)) → penndrag1

AI 绘图提示语参考

画一个圆形，并在其上放置多个多边形，使它们依次滚动。每个多边形接触圆形的边会形成切线，切线与多边形顶点的垂线相交形成新的顶点，从而实现滚动效果。先画出圆形，再依次画出多边形的边和顶点，最后将顶点连接成多边形，展示滚动过程。

以上提示语为根据原始绘图命令整理而来，仅供参考。