Tracing of Parabola via Focus-Directrix Property

Tracing of Parabola via Focus-Directrix Property
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2017-03-04 23:13
This GeoGebra applet demonstrates the locus definition of a parabola, where the distance from a moving point to the focus equals its distance to the directrix. Key concepts include parabola properties, focus-directrix definition, and distance measurement. Construction utilizes commands like Point, OrthogonalLine, Intersect, and Distance to visualize the geometric constraint dynamically. Ideal for high school geometry classes, calculus preparation, or self-study on conic sections, providing an interactive way to verify the fundamental property of parabolas.

GeoGebra Commands & Parameters

  1. Point(xAxis) → A
  2. OrthogonalLine(A, xAxis) → DIRECTRIX
  3. OrthogonalLine(A, xAxis) → f
  4. Parabola(Focus, f) → c
  5. Point(c) → B
  6. Segment(B, Focus) → g
  7. OrthogonalLine(B, f) → h
  8. Intersect(DIRECTRIX, f) → C
  9. Intersect(DIRECTRIX, f) → D
  10. Intersect(h, DIRECTRIX) → E
  11. Distance(E, B) → distanceEB
  12. Distance(B, Focus) → distanceBFocus
  13. OrthogonalLine(Focus, xAxis) → i