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Locus of Parabola

Locus of Parabola
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2019-02-21 08:51
FunctionCoordinate GeometryLocus
This example demonstrates the locus of a parabola. It involves the basic concepts of parabolas, constructed using focus and directrix. GeoGebra commands used include Parabola, Point, OrthogonalLine, Intersect, and Segment. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Parabola(Focus, Directrix) → d
  2. Point(d) → P
  3. OrthogonalLine(P, Directrix) → f
  4. Intersect(f, Directrix) → A
  5. Segment(P, Focus) → a
  6. Segment(P, A) → b

AI Drawing Prompt Reference

Draw a parabola by demonstrating the concept of its focus and directrix. Start by plotting the focus and directrix, then find the perpendicular line from the focus to the directrix and determine their intersection point. Connect the focus to this intersection point, and also connect the focus to another intersection point on the perpendicular line. Finally, link these points with line segments to form the complete parabola.
The prompt above was compiled from the original drawing commands and is for reference only.