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Parabola - Directrix

Parabola - Directrix
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2019-01-06 06:46
FunctionCoordinate GeometryGeometric Construction
This example demonstrates the geometric relationship between a parabola and its directrix. Key mathematical concepts include the definition and properties of a parabola. Using GeoGebra commands such as Line, Parabola, Point, OrthogonalLine, Intersect, and Segment, the construction of a parabola and its directrix is illustrated. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Line(B, C) → a
  2. Parabola(A, a) → c
  3. Point(c) → D
  4. OrthogonalLine(D, a) → f
  5. Intersect(a, f) → E
  6. Segment(E, D) → g
  7. Segment(D, A) → h

AI Drawing Prompt Reference

Draw a parabola and its directrix. First, draw a line as the directrix. Then, draw a parabola with a point as the focus. Next, take a point on the parabola and draw a perpendicular line from this point. The intersection of this perpendicular line and the original line is the focus. Finally, draw segments connecting the focus to this point on the parabola and from the focus to the vertex of the parabola.
The prompt above was compiled from the original drawing commands and is for reference only.