Conic Sections Eccentricity Modulator

This GeoGebra example demonstrates the dynamic generation of conic sections—ellipse, parabola, and hyperbola—controlled by the eccentricity parameter. Core mathematical concepts include the focus-directrix definition of conics, the geometric meaning of eccentricity e, and the locus property where the ratio of distance to a focus and distance to a directrix remains constant. Construction highlights, extracted from the command summary, employ GeoGebra commands Point (to create foci F₁, F₂ and directrix-related points D₁, d₁, d₂), OrthogonalLine (to construct perpendicular lines), Mirror (for point reflection), and LaTeX (to render text1, text2 and equation eq1), with auxiliary objects a, A, and eksentrisitas supporting parameter control. Suitable for high school analytic geometry and undergraduate mathematics courses, it serves as an interactive tool for conic section concept introduction, eccentricity exploration, and dynamic geometric construction demonstrations.