旋转与镜像对称
几何画板及绘图内容加载中,请稍等……
通过旋转和折叠各种图像,探索其对称性。本范例涉及几何变换中的旋转和镜像对称,使用了GeoGebra中的旋转、镜像等命令。适合初中及以上学生或教师使用,帮助理解对称性概念。
GeoGebra 命令及参数
Intersect(xAxis, yAxis) → APoint(xAxis) → BVector(A, B) → uPolygon(A, B, 4) → poly1, a, b, c, d, C, DSegment(D, B) → eSegment(A, C) → fIntersect(e, f) → OCircle(O, B) → gPoint(g) → ELine(E, O) → hIntersect(g, h, 2) → FCircleSector(O, F, E) → OpaqueSemiCMirror(list0, h) → list0'Translate(plaid, v) → plaid'Translate(O, v) → O'Translate(g, v) → g'Translate(A, v) → A'Rotate(A', (-α), O') → A''Angle(A'', O', A') → βSegment(A', O') → iSegment(A'', O') → jRotate(plaid', (-α), O') → plaid''Translate(pic1, v) → pic1'Rotate(pic1', (-α), O') → pic1''Mirror(list1, h) → list1'Translate(h, v) → h'Point(h') → HPoint(h') → ITranslate(I, v) → I'Point(h) → JPoint(h) → KSegment(J, K) → lTranslate(J, v) → J'Translate(K, v) → K'Segment(J', K') → l'Translate(pic2, v) → pic2'Rotate(pic2', (-α), O') → pic2''Mirror(list2, h) → list2'Translate(pic3, v) → pic3'Rotate(pic3', (-α), O') → pic3''Mirror(list3, h) → list3'Translate(pic4, v) → pic4'Rotate(pic4', (-α), O') → pic4''Mirror(list4, h) → list4'Translate(pic5, v) → pic5'Rotate(pic5', (-α), O') → pic5''Mirror(list5, h) → list5'Translate(pic6, v) → pic6'Rotate(pic6', (-α), O') → pic6''Mirror(list6, h) → list6'Translate(pic7, v) → pic7'Rotate(pic7', (-α), O') → pic7''Mirror(list7, h) → list7'Translate(pic8, v) → pic8'Rotate(pic8', (-α), O') → pic8''Mirror(list8, h) → list8'Translate(pic9, v) → pic9'Rotate(pic9', (-α), O') → pic9''Mirror(list9, h) → list9'Translate(pic10, v) → pic10'Rotate(pic10', (-α), O') → pic10''Mirror(list10, h) → list10'Translate(pic11, v) → pic11'Rotate(pic11', (-α), O') → pic11''Mirror(list11, h) → list11'Translate(pic12, v) → pic12'Rotate(pic12', (-α), O') → pic12''Mirror(list12, h) → list12'Translate(pic13, v) → pic13'Rotate(pic13', (-α), O') → pic13''Mirror(list13, h) → list13'Translate(pic14, v) → pic14'Rotate(pic14', (-α), O') → pic14''Mirror(list14, h) → list14'Translate(pic15, v) → pic15'Rotate(pic15', (-α), O') → pic15''Mirror(list15, h) → list15'Translate(pic16, v) → pic16'Rotate(pic16', (-α), O') → pic16''Mirror(list16, h) → list16'
AI 绘图提示语参考
绘制一个包含旋转和镜像对称性的图形。首先画出一个正方形,然后围绕中心点旋转和镜像该正方形,生成一系列对称图形。使用直线和圆来辅助对称轴和旋转中心的定位。
以上提示语为根据原始绘图命令整理而来,仅供参考。