Reflection Maze 2: Interactive Exploration of Mirror Transform and Continuity

①This example demonstrates the positional and directional changes of planar figures under mirror reflection through a maze-like interactive scene, along with the continuity relationship between the reflected image and the original. ②Core mathematical concepts include reflection transformation (axial symmetry), continuity of figures, and potential connections with circles, sine functions, derivatives, and prisms, highlighting the intersection of transformation geometry and function graphs. ③Construction highlights: Using GeoGebra's Mirror command on image objects pic1, pic2, and point A with its image A', users can adjust the reflection axis or parameter a to observe dynamic changes, thereby understanding the geometric properties of reflection. ④Suitable for upper secondary to early university students, this example serves as a dynamic teaching tool for geometric transformations, reflection symmetry, and as a supplementary aid for understanding continuity and transformations in calculus.