Set the coordinates (x, y) of point P, and determine the position of point P in the coordinate plane according to the following conditions: (1) xy = 0; (2) XY > 0; (3) x + y = 0

Set the coordinates (x, y) of point P, and determine the position of point P in the coordinate plane according to the following conditions: (1) xy = 0; (2) XY > 0; (3) x + y = 0

(1) ∵ xy = 0, ∵ x = 0 or y = 0, ∵ P point is on the coordinate axis; (2) ∵ XY > 0, ∵ X and y have the same sign, ∵ P point is in the first or third quadrant; (3) ∵ x + y = 0, ∵ X and y are opposite to each other,