First of all, solid geometry and plane geometry have different research objects. Solid geometry mainly studies figures and structures in three-dimensional space, such as cuboids, cubes, cones and cylinders. Plane geometry mainly studies graphics and structures in two-dimensional space, such as triangles, quadrilaterals, circles and so on.
Secondly, the research methods of solid geometry and plane geometry are also different. Stereo geometry mainly adopts intuitive method and analytical method, and studies the nature and relationship of space graphics through observation and measurement; Plane geometry mainly adopts ruler drawing method and logical reasoning method, and studies the nature and relationship of plane graphics through drawing and proof.
Furthermore, the research contents of solid geometry and plane geometry are also very different. Solid geometry mainly studies the volume, surface area, symmetry, similarity and other properties of space graphics; Plane geometry mainly studies the length, area, angle and similarity of plane graphics.
In addition, solid geometry and plane geometry have different ways of thinking when solving problems. Solid geometry problems usually require us to observe and think from multiple angles, while plane geometry problems rely more on our intuitive feeling and logical reasoning ability.
Generally speaking, solid geometry and plane geometry are both disciplines that study figures and structures, but because of their different dimensions, there are great differences in research objects, research methods, research contents and thinking ways to solve problems.