2016 Guangdong Math Exam Q10: Locus of a Translated Moving Point

This GeoGebra example demonstrates Question 10 from the 2016 Guangdong Province college entrance mathematics exam, exploring the locus of a single moving point under translation. By constructing polygons and point paths, the Locus command dynamically visualizes how key points change position during translation. The applet includes parameter sliders to control point movement along a path, intuitively illustrating the geometric relationship between translation transformations and locus generation. This helps students understand the本质 of coordinate changes and figure motion in moving-point problems, making it suitable for analytic geometry and transformation topics in both teaching and exam preparation. The interactive construction allows learners to adjust parameters and observe in real time how the trajectory is formed through translation. This dynamic visualization bridges the gap between abstract algebraic reasoning and concrete geometric intuition, enabling students to develop a deeper conceptual grasp of locus problems commonly encountered in high-stakes examinations.