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Conic Sections and Locus Demo

Conic Sections and Locus Demo
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2016-04-17 15:42
Coordinate GeometryGeometric ConstructionLocus
This example demonstrates the sketching of conic sections like ellipses and hyperbolas, along with their locus generation. Key math concepts include conic sections, parametric curves, coordinate geometry, and locus equations. GeoGebra commands used in construction are Line, Point, Circle, Intersect, Locus, Polygon, OrthogonalLine, and LocusEquation. Suitable for high school and above students to understand properties of conic sections and parametric constructions.

GeoGebra Commands & Parameters

  1. Line(B, C) → a
  2. Point(a) → D
  3. Line(D, A) → b
  4. Circle(D, Segment[E, F]) → c
  5. Intersect(c, b, 2) → G
  6. Locus(G, D) → loc1
  7. Polygon(I, J, K) → poly1, k, i, j
  8. Line(H, K) → d
  9. OrthogonalLine(L, d) → e
  10. LocusEquation(G, D) → f