1. Geometry is a subject that studies the relationship between space shape, size and position, and it is one of the most intuitive and vivid branches of higher mathematics. By studying geometry, we can better understand some concepts and theorems in advanced mathematics, such as vectors, coordinate systems, curves and surfaces.
2. Geometry is closely related to algebra and analysis. For example, in analytic geometry, we use coordinate system to represent geometric objects such as points, lines and surfaces, and use coordinates to describe the relationship between them; In calculus, we use limit to describe the shape and properties of curves; In topology, we use topological space to describe the connectivity between objects.
3. Geometry is also widely used in engineering, physics and other fields. For example, in the fields of architecture and mechanical design, we need to use the knowledge of geometry to calculate the size, shape and position relationship of objects; In physics, we need to use the knowledge of geometry to describe the trajectory and interaction of objects.
4. Geometry can also cultivate our logical thinking ability and spatial imagination. In the process of learning geometry, we need to constantly reason and prove, which is helpful to improve our logical thinking ability; At the same time, we need to imagine all kinds of complex geometric figures, which is helpful to improve our spatial imagination.