How are the eight quadrants of space divided?

Three coordinate planes divide the space into eight parts, each of which is called a quadrant.

The eight quadrants are represented by the letter , respectively, which contains the x-axis, y-axis and z-axis positive semi-axis is the first quadrant, and the other three quadrants on the xoy plane are arranged in a counterclockwise direction, in order they are the first and quadrant; The quadrant adjacent to the quadrant below the xoy plane is the quadrant, and then it is also arranged in a counterclockwise direction as the quadrant and quadrant.

Extended Materials. The coordinates of the origin of the spatial Cartesian coordinate system are (0,0,0); If the point m is on the x-axis, its coordinates are (x,0,0); Also for a point on the y-axis, its coordinates are (0,y,0); For points on the z-axis, their coordinates are (0,0,z); Similarly, a point located in the xoy plane has coordinates of (x,y,0); a point located in the yoz plane with coordinates of (0,y,z);

A point located on the plane of xoz with coordinates of (x,0,z). It can be seen that the coordinates of the points located on the coordinate axis, on the coordinate plane and within the limits of each hexagram have their own characteristics.

The quadrant is the Cartesian coordinate system, and the founder is Descartes. It is mainly used in trigonometry and complex numbers in the Argen diagram coordinate system (complex plane). In a planar Cartesian coordinate system, the plane is divided into four regions by the horizontal and vertical axes, that is, four quadrants.

The quadrant is centered on the origin, divided into I and II by the horizontal and vertical axes, and starts from the upper right in a counterclockwise direction

iiiiv The four quadrants, the origin and the axes do not belong to any quadrant.

In the three-dimensional geometry of space, the x-axis, y-axis, and z-axis of the coordinate axes perpendicular to each other can be determined, which are collectively called coordinate planes. The coordinate planes determined by the x-axis and y-axis are called xoy planes, and similarly there are yoz planes and zox planes. Three coordinate planes can divide the space into eight parts.

The eight hexagram parts are represented by letters , respectively, which contains the x-axis, y-axis and z-axis positive half axis is the first hexagram limit, and the other three hexagram limits on the xoy surface are arranged in the counterclockwise direction, in order of the first and hexagram limits; The hexagram limit adjacent to the hexagram limit below the xoy plane is the hexagram limit, and then it is also arranged in a counterclockwise direction as the hexagram limit.

Extended information: The four regions divided by the horizontal and vertical axes in the planar Cartesian coordinate system are divided into four quadrants. The quadrant is centered on the origin, and the x,y axis is the dividing line. The upper right is called the first quadrant, the upper left is called the second quadrant, the lower left is called the third quadrant, and the lower right is called the fourth quadrant.

Points on the axes do not belong to any quadrants.

The first quadrant: (positive +, + positive), the horizontal and vertical coordinates are the same sign, denoted as xy>0;

Second quadrant: (minus-, +positive), the horizontal and vertical coordinates are different signs, denoted as xy<0;

Third quadrant: (negative -,- negative), the horizontal and vertical coordinates are the same sign, denoted as xy>0;

Fourth quadrant: (positive +, -negative), the horizontal and vertical coordinates are different signs, denoted as xy<0.

The three coordinate planes divide the space into eight parts, and each part is called a quadrant.

The eight quadrants are represented by the letter , respectively, which contains the x-axis, y-axis and z-axis positive semi-axis is the first quadrant, and the other three quadrants on the xoy plane are arranged in a counterclockwise direction, in order they are the first and quadrant; Under the xoy plane, the opening square is adjacent to the Changtandi quadrant, and then it is also arranged in the counterclockwise direction as the first and first quadrants.