Tracing of Parabola via Focus-Directrix Property
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This GeoGebra applet demonstrates the locus definition of a parabola, where the distance from a moving point to the focus equals its distance to the directrix. Key concepts include parabola properties, focus-directrix definition, and distance measurement. Construction utilizes commands like Point, OrthogonalLine, Intersect, and Distance to visualize the geometric constraint dynamically. Ideal for high school geometry classes, calculus preparation, or self-study on conic sections, providing an interactive way to verify the fundamental property of parabolas.
GeoGebra Commands & Parameters
Point(xAxis) → AOrthogonalLine(A, xAxis) → DIRECTRIXOrthogonalLine(A, xAxis) → fParabola(Focus, f) → cPoint(c) → BSegment(B, Focus) → gOrthogonalLine(B, f) → hIntersect(DIRECTRIX, f) → CIntersect(DIRECTRIX, f) → DIntersect(h, DIRECTRIX) → EDistance(E, B) → distanceEBDistance(B, Focus) → distanceBFocusOrthogonalLine(Focus, xAxis) → i