What is the origin of the coordinate axis and where is the origin of the planar Cartesian coordinate

Definition: Two number axes that are perpendicular to each other and have a common origin in a plane.

Composition of a planar Cartesian coordinate system.

1.The principle of Cartesian coordinates is used to determine the coordinate system of the plane position of the ground point on the projection surface.

Unlike the mathematical Cartesian coordinate system, it has an x-axis on the vertical axis and a y-axis on the horizontal axis. On the projection surface, the projection is carried by ** warp.

The Cartesian coordinate system in which the projection is the adjustable axis, the equatorial projection is the transverse axis (y-axis), and their intersection is the origin is called the national coordinate system, otherwise it is called the independent coordinate system.

2.Mathematically a planar Cartesian coordinate system.

Draw two number axes in a plane that are perpendicular to each other and have a common origin. The horizontal axis is the x-axis and the vertical axis is the y-axis. In this way, we say that a planar Cartesian coordinate system is established on a plane, which is referred to as a Cartesian coordinate system. The plane where the coordinate system is located is called the coordinate plane, and the two coordinate axes.

The common origin of is called the origin of the Cartesian coordinate system. The x-axis and y-axis divide the coordinate plane into four quadrants, the upper right one is called the first quadrant.

The other three parts are called the second quadrant in a counterclockwise direction.

Quadrant 3 and 4. The quadrants are bounded by the number axis, and the points on the horizontal and vertical axes do not belong to any quadrant.

Once we have established a planar Cartesian coordinate system, we can determine the coordinates of any point in the plane of the coordinate system. Conversely, for any one coordinate, we can determine a point it represents within the coordinate plane.

For any point c in the plane, the point is divided into c axis and axis perpendicular.

The corresponding points a and b on the axis are called the abscissa and ordinate of point c, respectively, and the ordinal pairs (a, b) are called the coordinates of point c.

In any two points, if the abscissa of the two points is the same, the line of the two points is parallel to the vertical axis; If the ordinates of the two points are the same, the lines of the two points are parallel to the horizontal axis. Geometry can be proved by this proof method.

Distance. 1) The distance from the point to the axis and the origin.

The distance from the point to the x-axis is; The distance from the point to the axis is; The distance from the point to the origin is;

2) The distance between two points on the same coordinate axis.

The distance between two points on the x-axis is;

The distance between two points on the axis is;

The idea of coordinates was that of the French mathematician and philosopher Descartes.

Founded.

The general origin of the coordinate axis is ( , and in the case of solid geometry, sometimes the establishment of a Cartesian coordinate system is ( ,

1. When using AutoCAD to design, it is often necessary to change the origin of the coordinate system in the drawing. So how to deal with it? The following uses a 4x2 rectangle as an example to demonstrate the origin of the coordinates. Change from the bottom left corner to the center of the rectangle.

2. First of all, enter the English letter ucs in the command line and press the enter key.

3. Then enter the letter o on the command line and press the enter key.

4. Enter the new origin coordinates (2,1) on the command line and press the enter key.

5. You can see that the coordinate setting is completed.

The planar coordinate system draws two number axes that are perpendicular to each other and have a common origin in the plane "two dimensions".

Abbreviated as Cartesian coordinate system. Planar Cartesian coordinate system.

There are two coordinate axes, of which the horizontal axis is the x-axis and the orientation to the right is the positive direction; The longitudinal axis is the y-axis, and the orientation is the positive direction. The plane in which the coordinate system is located is called the coordinate plane.

The common origin of the two axes is called the origin of the planar Cartesian coordinate system. The x-axis y-axis divides the coordinate plane into four quadrants, and the upper right part is called the first quadrant.

The other three parts are called the second, third, and fourth quadrants in a counterclockwise direction.

1. Characteristics of plane coordinate system:

The abscissa axis of the planar coordinate system stipulates that the Z axis and the Y axis are reversed.

The squares of the planar coordinate system are ordered in opposite directions, and the coordinate system quadrants on the measurement are clockwise.

Direction number. Whether the origin of the plane coordinate system is of practical significance.

2. The difference between the plane coordinate system and the mathematical coordinates:

The coordinate axis is different, the horizontal axis is the y-axis and the vertical axis is the x-axis. In mathematics, the horizontal axis is the x-axis and the vertical axis is the y-axis.

The quadrants are different, clockwise in measurement and counterclockwise in mathematics. The upper right is the same as the first quadrant.

In terms of application, the Cartesian coordinate system of the plane is the same as the Cartesian coordinate system of the plane in mathematics.

Belong. The axes include the origin.

1. A set of straight lines or a set of curves used to define a coordinate system; The position of a point on an axis is uniquely determined by a coordinate value, while the position of a point on another axis is uniquely determined by a single value, and the value of the other coordinates on this axis is zero.

2. Two intersecting straight lines used as reference lines in plane analytic geometry.

3. Three straight lines with a common point are the intersection lines of three reference coordinate planes in 3D analytic geometry.

The origin is the intersection of the x-axis and the y-axis, that is, the point (0,0), that is, the coordinates of the x-axis are 0, that is, the y-axis, and the coordinates of the y-axis are 0, that is, the x-axis, so it can be seen that the origin is both a point on the x-axis and a point on the y-axis. I didn't learn the Cartesian coordinate system in mathematics.

Belongs, the intersection of the x-axis and the y-axis is the origin, so it is subordinate to the x-axis and the y-axis and is the point on it.

The origin belongs to neither the x-axis nor the y-axis.

The origin is counted on the y-axis. Both the x-axis and y-axis include the origin.

The real axis and the imaginary axis are concepts in the complex number field, the complex number z=x+iy, x is called the real part, y is called the imaginary part, and then the points composed of coordinates (x, y) form the entire complex number field, in the coordinate plane, the x-axis is called the real axis, and the y-axis is called the imaginary axis. For example, the point (1,0) is taken as 1 on the real axis, 0 is on the imaginary axis, the point is located on the x-axis, corresponding to the complex number z=1, and the imaginary part is 0, which is the real number.

Extended Materials. The real and imaginary axes of the hyperbola can be used to make asymptotic lines and then the hyperbolic plots. When the real and imaginary axes are equal in length, such a hyperbola is called an equiaxed hyperbola, and the two asymptotic lines are perpendicular to each other. If the imaginary axis of the known hyperbola is the real axis, the hyperbola with the real axis is the imaginary axis is called the conjugate hyperbola of the original hyperbola, and the two hyperbolas that are conjugate to each other have a common asymptote line, and the four intersections are on the same circle.

It can also be defined as the trajectory of a point where the difference in distance from two fixed points (called focal points) is constant. This fixed distance difference is twice as much as a, where a is the distance from the center of the hyperbola to the vertex of the nearest branch of the hyperbola. a is also called the real semi-axis of the hyperbola.

The focal points are located on the through axis, and their middle point is called the center, which is generally located at the origin.

You see the definition of a planar Cartesian coordinate system:

Two number axes perpendicular to each other and with a common origin on the same plane form a planar Cartesian coordinate system, which is referred to as a Cartesian coordinate system.

In other words, there is a common point on the xy axis that is their origin, so it is both on the x-axis and on the y-axis.

It must be calculated that as long as the coordinates are (0,a) the form is on the y-axis and (b,0) is on the x-axis.

Calculated on the x,y axis (0,0) means (x,y), which means that x is 0 and y is 0

The origin coordinates are (0,0).

On the x-axis, but also on the y-axis.

Count, two points intersect at the origin.

The coordinate origin refers to the intersection of coordinate axes, which is widely used in mathematics, physics, engineering and other fields.

In a two-dimensional Cartesian coordinate system, the coordinates of the origin are (0,0). In a 3D Cartesian coordinate system, the coordinates of the origin are (0,0,0). The origin is a point that acts as a reference datum in the numeracal, 2D, and 3D coordinate systems, and can be used to calculate the coordinates of other points.

On the number axis, the origin is 0 points, and from the origin, the points on the rays in the positive direction (positive semi-axis) correspond to positive numbers, and the points on the rays in the opposite direction (negative semi-axis) correspond to negative numbers, and the origin corresponds to zero.

The coordinate origin is the datum point that defines the other points in the coordinate system. In a planar Cartesian coordinate system, the coordinate origin is the intersection of the x-axis and the y-axis, a point in the center of the coordinate system. In the three-dimensional right-angle system, the coordinate origin is the intersection of the x-axis, y-axis, and z-axis, and is a point in the center of the coordinate system.

In specific applications, the position of the coordinate origin can be adjusted according to the specific needs and the choice of coordinate system. For example, in the design of mechanical parts, a coordinate system with the center of the part as the origin can be established to facilitate the calculation and measurement of the size and position of the part.

In short, the coordinate origin is an important concept in mathematics and physics, and it is an important basis for establishing a coordinate system and calculating the position of other points.

A coordinate origin is a point in a set of coordinate systems, usually denoted by (0,0). It is the datum point that defines the other points in the coordinate system, and it is also the starting point that represents the position of the other points. Coordinate origins are widely used in mathematics, physics, engineering, and other fields.

In a planar Cartesian coordinate system, the coordinate origin is the intersection of the x-axis and y-axis, that is, a point in the center of the coordinate system. In a 3D Cartesian coordinate system, the coordinate origin is the intersection of the x-axis, y-axis, and z-axis, that is, a point located in the center of the Youcong Pose coordinate system.

Very responsibly to tell you that the high school entrance examination Xianghuai will never ask this question.

Of course, you still want to belong to it and don't belong to it, and if you look at it dialectically, junior high school thinks that when you go to high school, you will think that when you learn a new one, you will think that it is not.

The origin does not belong to any one quadrant.

Draw two number axes in a plane that are perpendicular to each other and have a common origin.

The horizontal axis is the x-axis, and the vertical axis is the y-axis. In this way, we say that a planar Cartesian coordinate system is established on the plane, which is referred to as the clear Cartesian coordinate system.

The plane where the coordinate system is located is called the coordinate plane, and the common origin of the two coordinate axes is called the origin of the Cartesian coordinate system. The x-axis and y-axis divide the coordinate plane into four quadrants, the upper right is called the first quadrant, and the other three parts are called the second, third, and fourth quadrants in a counterclockwise direction. The quadrants are bounded by the number axis, and the points on the horizontal and vertical axes do not belong to any quadrant.