Hyperbola Parameters Demo

Hyperbola Parameters Demo
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2016-05-11 15:42
This example demonstrates the geometric relationships and variation patterns of all hyperbola parameters (real axis a, imaginary axis b, focal length c, eccentricity e, etc.). Key math concepts include analytical geometry, hyperbola definition, parametric equations, and the relationship between foci and directrices. Construction highlights involve GeoGebra commands like Root (root finding), OrthogonalLine (perpendicular line), Intersect (intersection), Polygon (polygon creation), and Slider (animation) to dynamically visualize parameter changes. Suitable for high school students and math enthusiasts studying hyperbola properties and parameter effects.

GeoGebra Commands & Parameters

  1. Root((x - c)^(n)) → A
  2. OrthogonalLine(A, xAxis) → h
  3. Intersect(g, h) → B
  4. Polygon(B, C, D, E) → Vieleck1, b_1, c_1, d_1, e_1