The locus of a point with equal distance between two points in space. In, the plane formula is A*(x-x0)+B*(y-y0)+C*(z-z0)=0, which is defined as the set of all points whose connecting line with the fixed point (x0, y0, z0) is perpendicular to the fixed direction (a, b, c). These two definitions are consistent in mathematics.
Extended data:
First, the judgment of plane intersection
If two planes have a common point, they are said to intersect.
Second, the judgment of parallelism between line and plane
A straight line out of the plane is parallel to a straight line in this plane, so this straight line is parallel to this plane.
Third, the determination of plane parallelism
1. If two intersecting straight lines on one plane are parallel to the other plane, then the two planes are parallel.
2. Two planes perpendicular to the same straight line are parallel.
Fourth, the nature of parallel lines and planes.
A straight line is parallel to a plane, so any plane passing through this straight line is parallel to the intersection of this plane.
Five, the nature of plane parallel
1. If two parallel planes intersect the third plane at the same time, their intersection lines are parallel.
2. If a straight line is in a plane, the plane parallel to this plane is parallel to this straight line.
VI. Determination of Vertical Lines and Planes
1. If a straight line is perpendicular to two intersecting straight lines on a plane, the straight line is perpendicular to the plane.
2. If a straight line is perpendicular to a plane, a straight line parallel to the straight line is perpendicular to the plane.
VII. Determination of Vertical Plane
If one plane intersects the perpendicular of the other plane, the two planes are perpendicular.
Eight, the nature of the vertical line.
1, two straight lines perpendicular to the same plane are parallel.
2. If a straight line is perpendicular to a plane, it is perpendicular to all straight lines in the plane.
3. Two lines parallel to the same line are parallel to each other.
Nine, the nature of the vertical plane
If two planes are perpendicular, a straight line perpendicular to the intersection in one plane is perpendicular to the other plane.
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