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Parabola's Focus and Directrix

Parabola's Focus and Directrix
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2016-06-19 09:43
FunctionTrigonometryCoordinate GeometryGeometric Construction
This example demonstrates the geometric definition and properties of a parabola's focus and directrix. It involves core math concepts like the parabola's definition, focus, directrix, standard equation of a parabola, and coordinate geometry. Construction highlights include using GeoGebra commands such as Point, Intersect, Segment, OrthogonalLine, and Angle. Suitable for high school and above students to learn and understand the geometric characteristics and applications of parabolas.

GeoGebra Commands & Parameters

  1. Point(c) → B
  2. Intersect(c, xAxis, 2) → D
  3. Point(c) → E
  4. Intersect(c, g) → G, H
  5. Segment(G, H) → latus_ rectum
  6. Point(c) → P
  7. Segment(F, P) → h
  8. OrthogonalLine(P, Directrix) → i
  9. Intersect(Directrix, i) → I
  10. Segment(I, P) → j
  11. Point(Directrix) → J
  12. Angle(J, I, P) → α