The point P is hyperbolic y = - 4 / X (x)

The point P is hyperbolic y = - 4 / X (x)

There must be K

It is known that P is any point on the hyperbola y = 2000x, passing through p to make PA ⊥ X axis, Pb ⊥ Y axis, a and B are perpendicular feet respectively. (1) calculate the area of the quadrilateral paob. (2) how does the area of the quadrilateral paob change when P moves to the left?

As shown in the figure, (1) the area of quadrilateral paob = 2000; (2) when point P moves to the left, the area of quadrilateral paob remains unchanged, which is equal to 2000

It is known that P is any point on the hyperbola y = 2000 / X. through P, PA ⊥ X axis, Pb ⊥ Y axis, a and B are perpendicular feet respectively
It is known that P is any point on the hyperbola y = 2000 / X. draw PA ⊥ X axis, Pb ⊥ Y axis, a and B are perpendicular feet respectively
(1) Find the area of the quadrilateral paob
(2) When point P moves to the left, how does the area of paob change

(1) Find the area of quadrilateral paob = 2000
(2) When point P moves to the left, the area of paob on four sides remains unchanged

As shown in the figure, point P is on the image of the inverse scale function. Through point P, make the PA ⊥ X axis at point a, and make the Pb ⊥ Y axis at point B. if the area of the rectangular OAPB is 9, then the analytical expression of the inverse scale function is______ ．

Because the point P is on the image of the inverse scale function, the area of the rectangular OAPB s = | K | = 9, k = ± 9. And because the image of the inverse scale function is in a three quadrant, then k = 9, so the analytic expression of the inverse scale function is y = 9x