Recently, the provincial civil servants announced the written test results, which consist of application and test. You usually answer the test paper in the application, and your opinion is not too outrageous. Generally, the scores are good, and most candidates are concentrated at around 70 points. But generally speaking, people with good math and physics and strong logical thinking ability can easily get above 70, and most of the candidates are concentrated around 60, which is the most critical factor to open the score. Therefore, mathematics not only teaches us logical thinking ability, but also is closely related to every bit of our life.
One day, Descartes, a great French philosopher, physicist, mathematician and physiologist in the17th century and the founder of analytic geometry, was ill in bed. He saw a spider in the corner of the roof and pulled down the silk. After a while, the spider climbed up along the silk and drew left and right. The spider's "performance" inspired Descartes. He thought, you can think of a spider as a point. It can move up and down, left and right in the room. Can you determine every position of the spider with a set of numbers? He thought that two adjacent walls in the room gave three lines to the ground. If the angle on the ground is taken as the starting point and the three intersecting lines are taken as the three axes, isn't the position of any point in space expressed by the sequential three numbers found on these three axes?
If so, Descartes created the coordinate system and built a bridge between algebra and geometry. It enables geometric concepts to be described by algebraic methods and geometric figures to be expressed by algebraic forms, so that advanced algebraic methods can be applied to the study of geometry.
What are coordinates? It is an ordered data set selected according to the specified method in the reference system, which is used to determine the position of a point in space. In order to explain the position, velocity and direction of a particle, its coordinate system must be selected. The method of specifying coordinates in the question is the coordinate system used in the question. There are many kinds of coordinate systems, such as Cartesian coordinate system, plane polar coordinate system, cylindrical coordinate system (or cylindrical coordinate system) and spherical coordinate system (or spherical coordinate system).
Two number axes perpendicular to each other on the same plane and having a common origin form a plane rectangular coordinate system, which is called rectangular coordinate system for short. Usually, the two number axes are placed in horizontal and vertical positions respectively, and the right and upward directions are the positive directions of the two number axes respectively. The horizontal axis is called X axis or horizontal axis, the vertical axis is called Y axis or vertical axis, X axis and Y axis are collectively called coordinate axes, and their common origin O is called the origin of rectangular coordinate system.
In three-dimensional solid geometry, in order to clearly calculate the equation of a geometric body, it is necessary to establish a mathematical model according to its length, width and height, in which the long axis of the horizontal plane is X axis; The high axis perpendicular to the horizontal plane is the Y axis, and the axis parallel to the X axis is the Z axis, which together form the spatial coordinate system.
Engels once commented on the coordinate system: "There are variables in the coordinate system, and the invention of variables really makes the knowledge of dialectics enter mathematics." When we play chess with our elders, the position of the chess pieces is constantly changing; In the apartment room setting, different rooms are different points; Going home by car, the setting of parking spaces put us in different spatial positions. All this is because the coordinate system is playing its due role.
The greatest significance of coordinate system is not to tell us the greatness of mathematics, but to teach us the correct methods to solve problems. Just like the steering wheel in human history, don't get lost in any position, mathematics will always bring human beings to the right position.
The greatest meaning of life is to live more conveniently; The greatest significance of mathematics is to help people live more conveniently. For thousands of years, mathematics has been guided by human life and explored the universe as the truth, which has cultivated people's more agile thinking and faster way of doing things since it appeared. It is silent and abstract, but it is more practical except abstraction. Just like the prescription prescribed by the doctor, even if we don't understand it, we still enter the body and mind, and the medicine goes into the disease.