First, what is geometry? Geometry is the study of spatial structure and properties. It is one of the most basic research contents in mathematics, which has the same important position as analysis and algebra, and has a very close relationship. Originated in ancient Egypt. In the high school mathematics stage, the main research is solid geometry and plane analytic geometry. Solid geometry mainly studies the structure and relationship of points, lines and surfaces in space. Plane analytic geometry mainly uses algebraic methods to study geometric problems. Second, what is the geometric representation? Geometric representation is the image representation of abstract problems in algebra with geometric figures. For example, any real number corresponds to a point on the number axis one by one, so the two expressions "real number A" and "point A on the number axis" are often considered to have the same meaning without distinction (page 2 of the second edition of Mathematical Analysis). In high school, algebra and geometry are usually linked by a plane rectangular coordinate system, which is consistent with our idea of combining numbers with shapes.