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椭圆构造 by Josh Berberian

椭圆构造 by Josh Berberian
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2016-11-27 05:58
解析几何几何作图
所属专题 Ellipse Analysis
本范例演示了椭圆的构造方法。核心数学概念包括椭圆的定义、焦点和离心率。通过使用GeoGebra命令如Line, Point, Circle, Midpoint, Ellipse等，可以直观地理解椭圆的几何性质。适合高中数学教学和学习。

GeoGebra 命令及参数

  1. Line(A, G) → m
  2. Point(m) → C
  3. Circle(A, B) → c
  4. Point(c) → D
  5. Line(D, A) → f
  6. Line(D, C) → g
  7. Midpoint(C, D) → E
  8. OrthogonalLine(E, g) → h
  9. Intersect(f, h) → F
  10. Line(C, F) → i
  11. Locus(F, D) → loc1
  12. Segment(A, F) → j
  13. Segment(C, F) → k
  14. Segment(F, D) → l
  15. Polygon(C, E, F) → poly1, f_1, c_1, e
  16. Polygon(F, E, D) → poly2, d, f_2, e_1
  17. Angle(D, E, F) → α
  18. Angle(F, E, C) → β
  19. Segment(F, E) → n
  20. Line(E, F) → p
  21. Segment(F, D) → q
  22. Angle(C, A, F) → γ
  23. OrthogonalLine(F, m) → r
  24. Intersect(m, r) → H
  25. Polygon(A, H, F) → poly3, f_3, a_1, h_1
  26. Angle(H, A, F) → Θ
  27. Locus(F, D) → loc2
  28. Midpoint(A, C) → I
  29. Ellipse(A, C, F) → t
  30. Eccentricity(t) → u
  31. Hyperbola(C, A, F) → d_1
  32. Eccentricity(d_1) → v
  33. LaTeX(u, true, true) → text5
  34. Distance(A, I) → distanceAI
  35. Distance(F, C) → distanceFC
  36. Distance(F, i_1) → distanceFi1
  37. Vector(A, F) → w
  38. Point(zAxis) → J