Sort out the structure of "solid geometry" in high school mathematics? How to cultivate high school students' geometric intuitive ability?

1. The "space geometry" in solid geometry content is mainly to let students know the real space of human existence through intuitive perception and operation confirmation, and to cultivate and develop students' spatial imagination ability through space graphics. In the "positional relationship among points, lines and planes", with the help of the cuboid model, the positional relationship between them is firstly recognized through intuitive perception and operational confirmation, and some axioms about plane and parallelism are summarized, as well as the judgment theorems of straight line parallel to plane, plane parallel to plane, straight line perpendicular to plane and plane perpendicular to plane. Furthermore, the property theorems of straight line parallel to plane, plane parallel to plane, straight line perpendicular to plane and plane perpendicular to plane are discussed and demonstrated, and some simple propositions of spatial position relationship are proved by using the obtained conclusions, so as to cultivate students' reasoning and argumentation ability, communication ability using graphic language and geometric intuition ability.

Compared with the traditional three-dimensional geometric structure system, the new curriculum three-dimensional geometric structure system has undergone major reforms. The content of traditional solid geometry usually starts with the study of the basic elements that make up space geometry: points, lines and surfaces, tells about planes and their basic properties, the positional relationship between points, lines and surfaces, and related axioms and theorems, and then studies the geometry composed of them, including the structural characteristics, volume and surface area of prisms, pyramids, cylinders, cones, platforms and spheres, basically according to the principle of from part to whole. Now, starting with the overall feeling of space geometry, we will study the points, lines and surfaces that constitute space geometry.