Origin symmetry

Geometric phenomenon

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Origin symmetry is a kind of mathematics geometry Phenomenon: the origin is the intersection of X axis and Y axis. Odd function Any point of Symmetrical point ， Rectangular coordinate system The point of the previous point (x, y) symmetrical about the origin is (- x, - y).

Chinese name: Origin symmetry
Understanding: Origin symmetry in mathematics

Origin: Intersection of X axis and Y axis
Odd function: Any point of a function has a symmetrical point

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one Basic concepts
two Odd function

Basic concepts

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To understand the origin symmetry in mathematics, we must first understand Rectangular coordinate system (i.e. X, Y Axis ）The intersection of the X axis and the Y axis in is called the origin.

When there is a point (X, Y) on the coordinate axis (where X, Y are positive) Symmetrical point Same as Coordinate system The two points (- X, - Y) in are called origin symmetry, and the point (X, Y) just referred to is first quadrant Point (upper right of rectangular coordinate system), (- X, - Y) is third quadrant Point (bottom left of rectangular coordinate system).

Odd function

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If a function f(x) Of Define Fields Any sum of x in range If any y in the is f (- x)=- f (x), and the domain is symmetric about the origin, then f (x) is a singular function (that is, if any point (X, Y) of this function f (x) has a symmetric point, it is called a singular function).

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