Locus Problem (1): Dynamic Construction of a Conic Section
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In collections
Conic Sections
CCSS High School: Geometric Properties of Parabola
Locus Constructions
This example demonstrates the construction of a conic section (parabola) as a locus problem, accompanied by a lesson activity. The core mathematical concepts include locus, conic sections, perpendicular bisectors, midpoints, lines, and intersections. Construction highlights: using GeoGebra commands such as Line, OrthogonalLine, Intersect, Midpoint, Point, LineBisector, and Parabola, along with objects like button1, points A, B, F, D, E, G, lines d, g, h, i, and curves c, cc, to dynamically illustrate the locus formation. Suitable for high school or early college courses in analytic geometry and conic sections, and useful for exploring the derivation of locus equations.
GeoGebra Commands & Parameters
Line(A, B) → dOrthogonalLine(F, d) → gIntersect(d, g) → D_1Midpoint(F, D_1) → EPoint(d) → DLineBisector(D, F) → hLine(D, g) → iIntersect(h, i) → GParabola(F, d) → c