Interactive Demonstration of Symmetry and Quadratic Equations

This example illustrates symmetry principles and their application in quadratic equations through interactive graphics. ① It demonstrates how to construct symmetric figures using vectors, rotation, and sequences, and visualizes the solution sets of quadratic equations; ② Core mathematical concepts include symmetry, quadratic equations, vector operations, rotational transformations, and sequences; ③ Key construction points derived from GeoGebra commands are Segment (line segment), Vector (vector), Rotate (rotation), and Sequence (sequence); ④ Suitable for high school mathematics students to understand the connection between geometric transformations and algebraic equations, as well as for exploratory learning.