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Ellipse and Line

Ellipse and Line
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2015-10-25 21:41
Coordinate GeometryGeometric ConstructionLocus
In collections tangency
This example demonstrates the positional relationship between an ellipse and a line, including intersection points and slope calculations. Core math concepts involve ellipse equations, line equations, intersection solving, and angular bisectors. Constructed using GeoGebra commands like Ellipse, Point, Line, OrthogonalLine, AngularBisector, Intersect, Circle, and Locus. Suitable for high school coordinate geometry instruction and mathematical exploration activities.

GeoGebra Commands & Parameters

  1. Ellipse(A, B, C) → c
  2. Point(c) → D
  3. Line(E, F) → a
  4. OrthogonalLine(D, a) → d
  5. AngularBisector(A, D, B) → b
  6. Intersect(a, b) → G
  7. Intersect(a, d) → H
  8. AngularBisector(b, d) → e, f
  9. Intersect(e, a) → I
  10. Intersect(f, a) → J
  11. OrthogonalLine(I, a) → g
  12. OrthogonalLine(J, a) → h
  13. Intersect(b, g) → K
  14. Circle(K, I) → k
  15. Intersect(h, b) → L
  16. Circle(L, J) → p
  17. Locus(K, D) → loc1
  18. Locus(L, D) → loc2