High school mathematics solid geometry formula

High school mathematics solid geometry formula is as follows:

Surface area of space geometry;

Spatial geometric volume:

A, line parallel judgment:

(1) If a straight line is parallel to a plane and the plane passing through the straight line intersects the plane, then the straight line is parallel to the intersection line.

② If two parallel planes intersect with the third plane at the same time, their intersection lines are parallel.

③? Two straight lines perpendicular to the same plane are parallel.

Second, the line vertical judgment:

The straight line on the (1) plane is perpendicular to the projection of a diagonal line on this plane, so it is also perpendicular to this diagonal line.

(2) A straight line in a plane is perpendicular to a diagonal of this plane, so it is perpendicular to the projection of this diagonal.

(3) If a straight line is perpendicular to a plane, it is perpendicular to all the straight lines in the plane.

Supplement: If a straight line is perpendicular to one of the two parallel lines, it must also be perpendicular to the other parallel line.

Third, the judgment that the straight line is parallel to the plane:

If a straight line out of the plane is parallel to a straight line in the plane, then the straight line is parallel to the plane.

② The two planes are parallel, and the straight line in one plane must be parallel to the other plane.

Fourth, the judgment of plane parallelism:

① Two intersecting straight lines in one plane are parallel to two intersecting straight lines in another plane, and the two planes are parallel.

② Two planes perpendicular to the same straight line are parallel.

Five, the line vertical judgment:

If a straight line is perpendicular to two intersecting straight lines on a plane, it is perpendicular to the plane.

(2) If one of two parallel lines is perpendicular to a plane, then the other is also perpendicular to this plane.

③ The straight line is perpendicular to one of the two parallel planes and the other plane.

(4) If two planes are perpendicular, the straight line perpendicular to the intersection line in one plane must be perpendicular to the other plane.