利用对称性设计斗篷图案
几何画板及绘图内容加载中,请稍等……
本范例演示如何利用对称性在服装设计中绘制对称图案。通过不同颜色的线条绘制对称图形,探索轴对称的应用。涉及的核心数学概念是轴对称。作图要点包括使用线段、点、多边形、向量等 GeoGebra 命令;适合小学中年级学生学习几何作图和识别对称图形。
GeoGebra 命令及参数
Segment((0, 1), (0, 20)) → symmetryLineboxTool(10, 19, (0, 2.5)) → drawAreaPoint(Segment[(0, 10), (0, 20)]) → P1Point(Segment[(0, 10), (0, 0)]) → P7PointIn(drawArea) → P2PointIn(drawArea) → P3PointIn(drawArea) → P4PointIn(drawArea) → P5PointIn(drawArea) → P6Polygon({P1, P2, P3, P4, P5, P6, P7, Mirror[P6, yAxis], Mirror[P5, yAxis], Mirror[P4, yAxis], Mirror[P3, yAxis], Mirror[P2, yAxis]}) → robeOutlinePointIn(sketchRegion) → PDrawBluePointIn(sketchRegion) → PDrawGreenPointIn(sketchRegion) → PDrawOrangePointIn(sketchRegion) → PDrawPinkIf(Length[drawPink] ≤ 1, {PolyLine[dummy]}, {PolyLine[drawPink], PolyLine[Mirror[drawPink, yAxis]]}) → designPinkIf(Length[drawGreen] ≤ 1, {PolyLine[dummy]}, {PolyLine[drawGreen], PolyLine[Mirror[drawGreen, yAxis]]}) → designGreenIf(Length[drawOrange] ≤ 1, {PolyLine[dummy]}, {PolyLine[drawOrange], PolyLine[Mirror[drawOrange, yAxis]]}) → designOrangeVector((-10, 2), (0, 2)) → vSymmetryElement({"allPink", "allGreen", "allBlue", "allOrange"}, currentPen) → currentMasterListElement({"drawPink", "drawGreen", "drawBlue", "drawOrange"}, currentPen) → currentPointsZip({PolyLine[A], PolyLine[Mirror[A, yAxis]]}, A, allOrange) → allDesignOrangeZip({PolyLine[A], PolyLine[Mirror[A, yAxis]]}, A, allPink) → allDesignPinkZip({PolyLine[A], PolyLine[Mirror[A, yAxis]]}, A, allBlue) → allDesignBlueZip({PolyLine[A], PolyLine[Mirror[A, yAxis]]}, A, allGreen) → allDesignGreenLength(allDesignBlue) → test
AI 绘图提示语参考
请画一个对称的服装图案,包含一条垂直对称轴和多个对称点。图案由不同颜色的线条组成,这些线条在对称轴两侧对称分布。构造时,先画出对称轴,然后添加对称点,最后绘制对称的线条。
以上提示语为根据原始绘图命令整理而来,仅供参考。