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Hyperbola Property 3 Demonstration

Hyperbola Property 3 Demonstration
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2019-07-23 10:07
FunctionCoordinate GeometryGeometric Construction
This example demonstrates Hyperbola Property 3, involving core mathematical concepts such as the definition of a hyperbola, asymptotes, foci, eccentricity, etc. The construction highlights the use of GeoGebra commands and objects like Point, Tangent, Segment, Intersect, Angle, Rotate, Line, Circle, Ray to build the geometric representation of the hyperbola and illustrate its properties. Suitable for high school mathematics teaching and geometric construction practice.

GeoGebra Commands & Parameters

  1. Point(c) → A
  2. Tangent(A, c) → g,
  3. Segment(B, A) → h
  4. Intersect(d, g) → C
  5. Intersect(f, g) → D
  6. Angle(B, A, C) → α
  7. Rotate(D, α, A) → D'
  8. Angle(D, A, D') → β
  9. Line(A, D') → i
  10. Circle(A, D') → k
  11. Intersect(k, i, 2) → E
  12. Ray(A, D') → j
  13. Ray(A, E) → l