Point P is in the second quadrant, the distance from P to X axis is 4, and the distance from P to y axis is 3, then the coordinate of point P is

-3,4

Given a (4, b), B (a, - 2), if a and B are symmetric about X axis, then a= ，b= If a and B are symmetric about the Y axis, then a= ，b= If a and B are symmetric about the origin, then a= ，b= ．

If a and B are symmetric about X axis, then a = 4, B = 2; if a and B are symmetric about y axis, then a = - 4, B = - 2; if a and B are symmetric about origin, then a = - 4, B = 2, so the answer is: 4, 2; - 4, - 2; - 4, 2

It is proved that the angular bisector of the inverse scale function is axisymmetric with respect to quadrants 1 and 3

It is proved that the analytic expression of inverse proportion function is y = K / X
Point a (a, b) is on the image of inverse scale function y = K / X
Then AB = K
The symmetric point of the angular bisector of point a about quadrant 1 and 3 is B (B, a)
Because Ba = K
So point B is on the image with the inverse scale function y = K / X
Therefore, the angular bisectors of the inverse scale function with respect to quadrants 1 and 3 are axisymmetric

If point P is in the fourth quadrant and the distances to x-axis and y-axis are 4 and 5 respectively, the coordinates of point P are

The distances to the X and Y axes are the ordinate and abscissa respectively
The x abscissa of the fourth quadrant is positive and Y is negative
So (5, - 4)

It is known that a focus a (- 3,4) of an image with inverse scale function y = K / X and linear function y = MX + n
The distance from the intersection of the image of the first-order function and the x-axis to the origin is 5

Point a is on y = K / x, so k = - 12 can be obtained
A is on y = MX + N, so 4 = - 3M + n (1)
The distance from the point of intersection of the image of a linear function and X axis to the origin is 5, N / M = 5 or - 5 (2)
From (1) (2), M = 2, n = 10 or M = - 1 / 2, n = 5 / 2 can be obtained
The analytic formula is obtained

Point P is in the second quadrant, the distance from P to X axis is 4, and the distance from P to y axis is 3, then the coordinate of point P is