What is the formula for the distance from a point to a straight line?

│AXo+BYo+C│/√(A?+B?).

Of all the line segments connecting a point outside a straight line to points on the line, the vertical segment is the shortest, and the length of this vertical segment is called the distance from the point to the line. The line Ax+By+C=0 coordinates (Xo, Yo) then the distance from this point to this line is:│AXo+BYo+C│/√(A?+B?).

The length of the vertical segment from a point outside the line to the line is called the distance from the point to the line. And the distance of this vertical line segment is the shortest distance from any point to the line. Line Ax+By+C=0 Coordinates (Xo, Yo) then the distance from this point to this line is: │AXo+BYo+C│/√(A?+B?).

The vertical segment is the shortest of all segments connecting a point outside the line to points on the line.

The distance from a point to a line is called the vertical segment.

Expanded

1. The combination of number and shape is a commonly used mathematical problem solving ideology, the combination of number and shape of the idea of some abstract mathematical problems can be visualized, vivid, and able to change the abstract thinking into image thinking, which can help to grasp the essence of the mathematical problem; in addition, due to the use of the combination of number and shape of the approach In addition, because of the use of the combination of mathematics and shapes, many problems will be solved, and the solution is simple.

2. The so-called combination of numbers and shapes, is based on the correspondence between numbers and shapes, through the mutual transformation of numbers and shapes to solve mathematical problems, the realization of the combination of numbers and shapes, often related to the following:

(1) the correspondence between the real numbers and the points on the number axis.

(2) The correspondence between functions and graphs.

(3) The correspondence of a curve to an equation.

(4) Concepts built up against a background of geometric elements and geometric conditions, such as complex numbers and trigonometric functions.

(5) The structure of a given equation or algebraic formula contains obvious geometric meaning. Such as the equation .

3. Throughout the years of high school exams, the clever use of the combination of mathematical ideas to solve some abstract mathematical problems, can play a multiplier effect, the focus of the combination of mathematical and physical shape is to study the "shape to help the number".

4. The idea of combining digital and physical form of a wide range of applications, common in solving equations and inequalities, such as in the domain of the function, the problem of the highest value, in the search for complex numbers and trigonometric functions to solve the problem, the use of digital and physical form of the knot idea, not only intuitive and easy to find the way to solve the problem, but also to avoid the complexity of the calculations and reasoning, greatly simplified the process of solving the problem.

This in the solution of multiple-choice questions, fill in the blanks in the more superior, we should pay attention to the development of this ideological awareness, we must strive to have a map in the chest to see the number of charts, in order to open up the horizons of their own thinking.

5, the paper of the idea of combining number and shape

The idea of combining number and shape in short is to combine the mathematical "number" and mathematical "shape" to solve mathematical problems in a kind of mathematical thinking. The combination of number and shape is specifically the combination of abstract mathematical language and intuitive graphics, so that the combination of abstract thinking and image thinking, through the "number" and "shape" of the correspondence between the conversion to solve mathematical problems.

In secondary school mathematics, there are three main types of problem solving: "number" into "shape", "shape" into "number" and "number" "shape" combination.

Reference:

Baidu Wikipedia, the free encyclopedia of distance from a point to a line

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