First of all, only parallel straight lines have distance. The method of finding the distance from straight line to straight line is: Ax+By+C 1=0 and Ax+By+C2=0 are two parallel straight lines, and their distance is |C 1-C2| divided by the root sign (A+B).
A straight line is the trajectory of a point moving in a certain direction and its opposite direction in a plane or space, and it is an unbending straight line. Straight line is the basic concept of geometry, which has different descriptions in different geometric systems.
Distance formula between straight lines
D=C 1-C2|/√(A~2+B~2) Let the equation of two straight lines be Ax+By+C 1=0Ax+By+C2=0. The distance from a point to a straight line is the shortest, and the length of this vertical line segment is the length of all line segments connecting a point outside the straight line and a point on the straight line.
Formula of distance between two points
The distance formula between two points is often used to find the distance between two points and the coordinates of points in a function diagram, and it is one of the distance formulas. The distance formula between two points describes the relationship between points and the distance between points.
Extended data:
If two straight lines are Ax+By+C 1=0 and Ax+By+C2=0, the distance is | C 1-C2 |/√ (A 2+B 2). The distance between a straight line and a straight line only exists between two parallel lines, that is to say, it is impossible to find the distance without two parallel lines.
Two straight lines that never intersect in the same plane are called parallel lines. Parallel lines must be defined on the same plane, which does not apply to solid geometry, such as straight lines on different planes, which are neither intersecting nor parallel.
In advanced mathematics, the definition of parallel lines is that two lines intersecting at infinity are parallel lines, because there is no absolute parallelism in theory. The definition of parallel lines includes three basic characteristics: one is in the same plane, the other is two straight lines, and the third is non-intersection.
The distance from a point to a straight line is the length of the vertical line segment, which is the shortest of all the line segments connecting a point outside the straight line and all the points on the straight line. The goal is to improve students' understanding of the combination of numbers and shapes by deducing the distance formula from points to straight lines, and to deepen students' consciousness of dealing with "graphics" with "calculation".
The linear equation in the formula is Ax+By+C=0, and the coordinate of point P is (x0, y0). Of all the line segments connecting a point outside the straight line with a point on the straight line, the vertical line segment is the shortest, and the length of this vertical line segment is called the distance from the point to the straight line.