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椭圆与双曲线复习 by Mike May

椭圆与双曲线复习 by Mike May
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2015-06-24 22:16
解析几何
本范例演示椭圆与双曲线的几何性质及其构造方法。涉及的核心数学概念包括椭圆和双曲线的定义、焦点、顶点等。通过使用GeoGebra命令如Ellipse、Asymptote、Intersect等，可以直观地展示这些图形的生成过程。适合高中数学教学和学习。

GeoGebra 命令及参数

  1. Ellipse(Focus1, Focus2, MajorLength) → ConicCurve
  2. Asymptote(ConicCurve) → Asymptote2, Asymptote1
  3. SecondAxisLength(ConicCurve) → MinorAxisLength
  4. OrthogonalLine(Vertex1, xAxis) → a
  5. OrthogonalLine(Vertex2, xAxis) → b
  6. Line(Vertex3, xAxis) → c
  7. Line(Vertex4, xAxis) → d
  8. Intersect(b, c) → A
  9. Intersect(a, c) → B
  10. Intersect(d, b) → D
  11. Segment(A, B) → e
  12. Segment(D, A) → h
  13. Intersect(d, a) → E
  14. Segment(B, E) → f
  15. Segment(E, D) → g
  16. Point(ConicCurve) → Point
  17. Vector(Focus1, Point) → F1P
  18. Vector(Focus2, Point) → F2P
  19. If(MajorLength > FocusLength, T2) → TC1
  20. If(MajorLength < FocusLength, T7) → TC2
  21. If(FocusLength ≟ MajorLength, T8) → TC3