Intersection of a Circle and Parabola

①This example demonstrates the intersection points between a circle and a parabola in a single coordinate system, visualizing the geometric relationship of two conic sections through dynamic geometry. ②Core mathematical concepts include the equation of a circle, the standard equation of a parabola, solving systems of quadratic equations, intersection coordinates, and the geometric construction of points, lines, and curves. ③Construction highlights: using GeoGebra commands such as Point to create key points, Parabola to construct the parabola, and Intersect to find the intersection points between the circle and parabola; objects include circle k, parabola h, vertex V, focus F, directrix d, intersection points A, B, C, D, and text labels text1 and text2, illustrating a complete workflow from basic elements to complex intersections. ④Suitable for high school analytic geometry or introductory college geometry courses, this example helps students understand the algebraic and geometric meaning of conic intersections and can serve as an interactive tool to verify the number and positions of solutions to simultaneous equations.