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通过圆规和直尺作垂线

通过圆规和直尺作垂线
几何画板及绘图内容加载中，请稍等……
2015-02-18 02:20
解析几何变换几何作图
所属专题 PARCC Math III Unit 5 Lesson 1
本例通过圆规和直尺作一条垂线，该垂线通过点B且垂直于直线m。本例涉及的核心数学概念是几何作图中的垂线构造。使用了Polygon, Line, Point, Circle, Intersect, Mirror, OrthogonalLine, CircumcircleArc等GeoGebra命令。适合高中数学教学和学习。

GeoGebra 命令及参数

  1. Polygon((22, y(Corner[1])), Corner[2], Corner[3], (22, y(Corner[4]))) → mask, a, b, c, d
  2. Line(Point_1, Point_2) → BaseLine
  3. Point(BaseLine) → D
  4. Circle(B, D) → CircB
  5. Intersect(CircB, BaseLine) → G, F
  6. Mirror(B, BaseLine) → H
  7. Circle(G, B) → CircG
  8. Circle(F, B) → CircF
  9. OrthogonalLine(G, BaseLine) → PerpLineG
  10. OrthogonalLine(F, BaseLine) → PerpLineF
  11. Intersect(CircF, PerpLineF) → ArcFa, ArcFb
  12. Intersect(CircG, PerpLineG) → ArcGb, ArcGa
  13. CircumcircleArc(ArcGa, B, ArcGb) → ArcG
  14. CircumcircleArc(ArcFb, B, ArcFa) → ArcF
  15. Line(B, H) → PerpLine
  16. OrthogonalLine(B, PerpLine) → ParLineB
  17. Intersect(CircB, ParLineB) → ArcBb, ArcBa
  18. CircumcircleArc(ArcBb, F, ArcBa) → ArcB