What is the coordinate of a point symmetrical about the X axis, Y axis, and origin at any point P (a, b) in the rectangular coordinate system of the plane? (1) The coordinate of point P (a, b) on the symmetrical point about the x-axis is P (a, -b). Its coordinate characteristics are: the horizontal coordinate does not change, and the vertical coordinate becomes the opposite number; (2) Point P ( a, b) The coordinate of the symmetrical point on the y-axis is P (-a, b), the coordinate characteristics are: the vertical coordinate is unchanged, the horizontal coordinate becomes the opposite number; (3) point P (a, b) about the origin The coordinate of the symmetric point is P (-a, -b), and its coordinate characteristics are: the abscissa becomes the opposite number, and the ordinate also becomes the opposite number.
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