Making shapes using coordinates

① This example demonstrates how to construct various geometric shapes, such as triangles and quadrilaterals, by inputting coordinate points and using GeoGebra's segment and polygon tools, highlighting the fundamental role of coordinates in shape creation. ② Core mathematical concepts include the Cartesian coordinate system, point coordinates, definitions of segments and polygons, and coordinate-based features of special shapes like equilateral triangles and exponential functions. ③ Construction highlights: Based on the construction summary, the commands Segment and Polygon are used, creating numerous points (A, B, C, D, etc.) that are connected to form closed figures; text objects (text1~text4) label coordinates or explanations, while auxiliary lines (f, g, h, etc.) and parameters (m_1, q1, etc.) may allow dynamic adjustments. ④ Suitable for middle school to high school students learning introductory analytic geometry, and for teachers demonstrating the relationship between coordinates and shapes in class, helping students intuitively understand coordinate positioning and basic geometric construction.