探索交线反射

几何画板及绘图内容加载中，请稍等……

2015-11-09 09:00

解析几何变换几何作图

这个范例展示了如何使用交线进行反射。核心数学概念包括反射、交点和变换。通过使用GeoGebra命令如Polygon、Line、Mirror等，可以动态地探索反射现象。适合高中及以上学生或教师使用。

GeoGebra 命令及参数

Polygon(A, B, C, D, E, F, G, H, I, J) → poly1, a, j, b, c, d, e, f, g, h, i
Line(K, L) → Mirror1
Mirror(A, Mirror1) → A'
Mirror(B, Mirror1) → B'
Mirror(C, Mirror1) → C'
Mirror(D, Mirror1) → D'
Mirror(E, Mirror1) → E'
Mirror(F, Mirror1) → F'
Mirror(G, Mirror1) → G'
Mirror(H, Mirror1) → H'
Mirror(I, Mirror1) → I'
Mirror(J, Mirror1) → J'
Polygon(A', B', C', D', E', F', G', H', I', J') → poly1'_1, a'_1, j'_1, b'_1, c'_1, d'_1, e'_1, f'_1, g'_1, h'_1, i'_1
Mirror(A, Mirror1) → D16
Mirror(B, Mirror1) → D17
Mirror(C, Mirror1) → D18
Mirror(D, Mirror1) → D19
Mirror(E, Mirror1) → D20
Mirror(F, Mirror1) → D21
Mirror(G, Mirror1) → D22
Mirror(H, Mirror1) → D23
Mirror(I, Mirror1) → D24
Mirror(J, Mirror1) → D25
Distance(C, Mirror1) → l
Distance(A, Mirror1) → B2
Distance(B, Mirror1) → B3
Distance(C, Mirror1) → B4
Distance(D, Mirror1) → B5
Distance(E, Mirror1) → B6
Distance(F, Mirror1) → B7
Distance(G, Mirror1) → B8
Distance(H, Mirror1) → B9
Distance(I, Mirror1) → B10
Distance(J, Mirror1) → B11
Distance(A', Mirror1) → D2
Distance(B', Mirror1) → D3
Distance(C', Mirror1) → D4
Distance(D', Mirror1) → D5
Distance(E', Mirror1) → D6
Distance(F', Mirror1) → D7
Distance(G', Mirror1) → D8
Distance(H', Mirror1) → D9
Distance(I', Mirror1) → D10
Distance(J', Mirror1) → D11
Line(M, K) → Mirror2
Mirror(A', Mirror2) → A''
Mirror(B', Mirror2) → B''
Mirror(C', Mirror2) → C''
Mirror(D', Mirror2) → D''
Mirror(E', Mirror2) → E''
Mirror(F', Mirror2) → F''
Mirror(G', Mirror2) → G''
Mirror(H', Mirror2) → H''
Mirror(I', Mirror2) → I''
Mirror(J', Mirror2) → J''
Polygon(A'', B'', C'', D'', E'', F'', G'', H'', I'', J'') → poly2, a'', j'', b'', c'', d'', e'', f'', g'', h'', i''
Angle(Mirror1, Mirror2) → α
Intersect(Mirror1, Mirror2) → O
Angle(B16, O, A'') → β