Line-plane perpendicular properties are as follows:

1. Definition of line-plane perpendicular

Line-plane perpendicular refers to a line being perpendicular to the plane, i.e., a line is perpendicular to any line in the plane. This definition is the basis for line-plane perpendicularity and a necessary condition for determining line-plane perpendicularity.

2, line perpendicular determination

There are two ways to determine line perpendicular: the first is through the intersection of the line and the plane, determine whether the line is perpendicular to the plane; the second is through the plane of the two intersecting straight line is perpendicular to the other straight line to determine the perpendicular line. Both methods can be used to determine the line perpendicular to the plane, but need different conditions and basis.

3, the nature of perpendicular line

The nature of perpendicular line refers to the determination of perpendicular line theorem and the nature of the theorem of the general term. Among them, the judgment theorem of line perpendicular is the basis for determining whether a line is perpendicular to a plane; while the nature of line perpendicular theorem explains some properties of line perpendicular, such as line perpendicular, the line is perpendicular to any line in the plane.

The significance and value of line-plane perpendiculars in three-dimensional geometry

1. Significance

Line-plane perpendiculars are one of the most important ways to understand geometric relationships in space. In three-dimensional geometry, we need to study not only the positional relationships between points, but also the relationships between lines, between lines and surfaces, and between surfaces.

And line-plane perpendiculars are one way of describing the perpendicular relationship between a line and a plane, which provides us with an important tool for understanding and describing geometric relationships in space.

2. Value

Line perpendicular has practical application in solving three-dimensional geometry problems. The knowledge of line-plane perpendiculars is needed in many fields such as architecture, engineering and physics.

3. Cultivate spatial imagination and logical thinking

Learning line-plane perpendicular can cultivate our spatial imagination and logical thinking. When solving three-dimensional geometry problems, we need to solve the problems through observation, analysis and reasoning.

This process can exercise our spatial imagination and logical thinking ability, and improve our math literacy and scientific literacy. By constantly practicing and applying this knowledge, you can better understand spatial geometric relationships and improve your spatial imagination and logical thinking skills.