Constructing Hyperbola, Ellipse, and Circle Using Geometry

① This interactive GeoGebra example demonstrates how to construct hyperbola, ellipse, and circle using pure geometric construction methods, based on foci and perpendicular bisectors. ② Core mathematical concepts include the definitions of conic sections (ellipse as constant sum of distances to two foci, hyperbola as constant difference, circle as constant distance to a center), and the geometric relationships that generate these curves. ③ Construction details: from the summary, the example uses GeoGebra commands such as Circle, Point, Line, Segment, LineBisector, and Intersect, with objects including Focus1, Focus2, Changecirclesize, Move, auxiliary lines f, g, h, i, j, k, and a Conic object, allowing dynamic adjustment of parameters. ④ This is suitable for middle school (advanced) and high school geometry or analytic geometry classes, as well as introductory college geometry, helping students visualize the unified geometric nature of conic sections.