Hyperbola and Ellipse Construction

Hyperbola and Ellipse Construction
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2015-08-03 22:09
This example demonstrates the geometric construction of hyperbolas and ellipses. Key math concepts include coordinate geometry, parametric equations, and locus. Construction highlights the use of GeoGebra commands: Circle, Point, Line, LineBisector, Intersect, and Locus, along with objects A, B, c, C, D, a, b, E, and loc1. Suitable for high school and above students studying coordinate geometry and parametric equations.

GeoGebra Commands & Parameters

  1. Circle(A, B) → c
  2. Point(c) → C
  3. Line(A, C) → a
  4. LineBisector(C, D) → b
  5. Intersect(a, b) → E
  6. Locus(E, C) → loc1