Exercise 2.11 - Circle which cuts a given chord on a given line

①This example demonstrates how to construct a circle that cuts a chord of given length on a specified line, a classic geometric construction problem. ②Core mathematical concepts include chords of a circle, perpendicular bisectors, intersections of lines and circles, and using the perpendicular bisector to determine the circle's center. ③Construction highlights: from the summary, the GeoGebra commands used are Line, Segment, OrthogonalLine, Intersect, LineBisector, and Circle, involving objects A, B, a, C, D, b, O, c, F, d, E, e, G, H, f. The process first determines the chord endpoints, then constructs the perpendicular bisector to locate the center, and finally draws the circle. ④This is suitable for high school plane geometry or coordinate geometry courses, helping students practice compass-and-straightedge reasoning and dynamic geometry operations in GeoGebra, and can be used for teacher demonstrations or student self-exploration.