How to Construct a Parabola

How to Construct a Parabola
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2015-11-16 07:29
In collections Conic Sections
This example demonstrates how to construct a parabola using GeoGebra. Key mathematical concepts include the definition and properties of a parabola. The construction process involves creating lines, points, segments, perpendicular bisectors, perpendicular lines, intersections, and loci. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Line(A, B) → d
  2. Point(d) → M
  3. Segment(F, M) → b
  4. LineBisector(b) → c
  5. OrthogonalLine(M, d) → d_1
  6. Intersect(c, d_1) → P
  7. Segment(F, P) → e
  8. Segment(P, M) → f
  9. Locus(P, M) → loc1
  10. Angle(b, c) → α
  11. Angle(d, d_1) → β