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Focus-Directrix Parabola

Focus-Directrix Parabola
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2020-05-11 05:27
TrigonometryCoordinate GeometryGeometric Construction
This example demonstrates a parabola defined by its focus and directrix. Key mathematical concepts include the geometric properties of a parabola and the concepts of the directrix and focus. Using GeoGebra commands such as Line, OrthogonalLine, Intersect, Segment, Midpoint, Point, and Angle, the construction of the parabola is illustrated. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Line(A, B) → DIRECTRIX
  2. OrthogonalLine(Focus, DIRECTRIX) → a
  3. Intersect(a, DIRECTRIX) → C
  4. Segment(Focus, C) → e
  5. Midpoint(Focus, C) → VERTEX
  6. Point(f) → D
  7. OrthogonalLine(D, DIRECTRIX) → b
  8. Intersect(b, DIRECTRIX) → E
  9. Segment(D, E) → c
  10. Segment(Focus, D) → d
  11. Angle(D, E, A) → α