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椭圆的几何作图 by Mike May

椭圆的几何作图 by Mike May
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2016-05-28 03:09
解析几何几何作图
本范例演示了椭圆的几何作图方法，通过两点到任意点距离之和为常数的定义来构造椭圆。使用了焦点、半径点、线段、线段中垂线、交点和轨迹等概念。通过GeoGebra命令如Circle, Point, Segment, LineBisector, Intersect, Locus等，可以清晰地展示椭圆的生成过程。适合高中数学教学和学习。

GeoGebra 命令及参数

  1. Circle(Focus1, RadiusPoint) → c
  2. Point(c) → ArbitraryPoint
  3. Segment(Focus1, ArbitraryPoint) → radius
  4. LineBisector(Focus2, ArbitraryPoint) → Focus2bisector
  5. Intersect(radius, Focus2bisector) → EllipsePoint
  6. Locus(EllipsePoint, ArbitraryPoint) → loc1
  7. Segment(ArbitraryPoint, Focus2) → Focus2toArbPoint
  8. Segment(Focus1, RadiusPoint) → EllipseDistance
  9. Segment(EllipsePoint, Focus2) → Focus2toPoint