Coordinate axes意思

"Coordinate axes" is a term used in mathematics, particularly in geometry and calculus, to refer to a system of lines used to determine the position of a point or an object in a space. This system is based on the concept of coordinates, which are numbers that describe the position of a point relative to the axes.

In two-dimensional space (a plane), there are two coordinate axes: the x-axis and the y-axis. The point where they intersect is called the origin. The x-axis is usually horizontal, and the y-axis is vertical. Each axis is a number line, and the position of a point on the plane is given by an ordered pair of numbers (x, y), where x is the distance from the y-axis and y is the distance from the x-axis.

In three-dimensional space, there is an additional coordinate axis, the z-axis, which is typically perpendicular to the xy-plane (formed by the x- and y-axes). The position of a point in three-dimensional space is given by an ordered triple of numbers (x, y, z), where x and y are as before, and z is the distance from the xy-plane.

Coordinate axes are a fundamental tool in mathematics and physics for describing the location of points, the path of curves, and the shape of surfaces. They are also used in computer graphics and engineering to design and analyze complex systems and structures.