The range of angles formed by lines and planes is as follows:

The range of line-plane angles is 0°-90°. A point passing through a straight line that is not parallel to the plane is a perpendicular to the plane. The line connecting the intersection point of this straight line and the plane and the intersection point of the original straight line and the plane and the original straight line (the supplementary angle of the angle between this line and the original straight line) is the included angle. The method for solving the line-plane angle is generally First determine the two vectors (direction vector or normal vector), find the cosine of the angle between the two vectors, pay attention to determine the relationship between the angle you want and the angle between the vectors, and finally get the angle you want or the trigonometric function of the angle. value.

Line-line angle: The perpendicular to the plane is drawn through a point on a straight line that is not parallel to the plane. The intersection point of this straight line and the plane and the intersection point of the original straight line and the plane are formed by the original straight line (this The angle between the line and the original straight line is the angle. Angle range: 0°-90°.

Face-to-surface angle: The line-to-surface angle refers to the perpendicular to the plane through a point on a straight line that is not parallel to the plane. The intersection of this straight line and the plane and the intersection of the original straight line and the plane are An acute or right angle formed by an original straight line. The angle between the oblique line and its projection on the plane is the line-plane angle.

The relationship between points, lines and surfaces: the most important function of points is to indicate position and focus. Points and surfaces are formed by comparison. The same point, if it covers the entire or large area of ??the plane, , it is a surface. If it appears multiple times in a plane, it can be understood as a point.