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Characteristic Property of Hyperbola

Characteristic Property of Hyperbola
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2019-02-02 09:09
TriangleFunctionCoordinate GeometryGeometric Construction
This example demonstrates the characteristic property of a hyperbola, focusing on the geometric relationship between its foci and asymptotes. Key math concepts include hyperbola definition, asymptotes, foci, triangles, incircle, intersection, and secant lines. Construction involves commands like Asymptote, Point, Segment, Circle, and Polygon in GeoGebra to build the hyperbola and related elements. Suitable for high school and above students to understand hyperbola geometry and construction methods.

GeoGebra Commands & Parameters

  1. Asymptote(hiperbola) → d, e
  2. Point(hiperbola) → A
  3. Segment(A, F_2) → h
  4. Segment(A, F_1) → i
  5. Circle(A, h) → okrag1
  6. Circle(F_1, i - h) → okrag2
  7. Segment(F_1, F_2) → j
  8. Polygon(LG, PG, PD, LD) → wielokąt1, lg_1, pg, pd, ld_1
  9. Polygon(B, C, D, E) → wielokąt2, b_1, c_2, d_1, e_1