Hyperbola Lab by 1066068
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This example demonstrates the definition and properties of a hyperbola by dynamically adjusting the foci and the length of the transverse axis to observe changes in the graph. Core mathematical concepts include the definition of a hyperbola, eccentricity, foci, directrices, and coordinate geometry. Construction highlights involve using GeoGebra commands and objects such as Intersect (intersection), Point (point), Circle (circle), Line (line), Segment (segment), Midpoint (midpoint), and OrthogonalLine (orthogonal line). Suitable for high school coordinate geometry instruction or student exploration of geometric properties.
GeoGebra Commands & Parameters
Intersect(xAxis, yAxis) → F1Point(xAxis) → F2Circle(F1, e) → cPoint(c) → ALine(F1, A) → aSegment(A, F2) → bMidpoint(b) → BOrthogonalLine(B, b) → dIntersect(a, d) → C