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Locus of a Parabola by Angelina S T Lam

Locus of a Parabola by Angelina S T Lam
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2017-11-18 08:45
FunctionCoordinate GeometryLocus
This example demonstrates the locus of a parabola. Key mathematical concepts include the definition and properties of a parabola. Construction highlights the use of GeoGebra commands such as Line, Segment, Midpoint, OrthogonalLine, Intersect, and Distance. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Line(A, B) → f
  2. Segment(C, G) → g
  3. Midpoint(C, G) → D
  4. OrthogonalLine(D, g) → h
  5. OrthogonalLine(G, f) → i
  6. Intersect(h, i) → E
  7. Intersect(g, h) → F
  8. Distance(C, E) → distanceCE
  9. Distance(E, G) → distanceEG

AI Drawing Prompt Reference

Draw a parabola and find its focus and directrix. First, draw a line as the directrix of the parabola. Then, draw a segment representing the perpendicular distance from the focus to the directrix. Next, find the midpoint of the segment and draw a line through it that is perpendicular to the segment. Draw another line through one end of the segment that is perpendicular to the directrix, and find their intersection point, which lies on the parabola. Finally, measure the distance from the focus to this point and the distance from this point to the directrix, which should be equal.
The prompt above was compiled from the original drawing commands and is for reference only.