(on the comparison of positive scale function and inverse scale function) It is known that in the same rectangular coordinate system, the positive scale function y = - 3x and the inverse scale function y = - 6 / X (this is a fraction, you should understand ~) intersect two points P and m below the x-axis, point a is on the negative half axis of the x-axis, and the distance from the origin is 4, Find: (1) the coordinates of P and m (2) Area of triangle map Depressed ……

(on the comparison of positive scale function and inverse scale function) It is known that in the same rectangular coordinate system, the positive scale function y = - 3x and the inverse scale function y = - 6 / X (this is a fraction, you should understand ~) intersect two points P and m below the x-axis, point a is on the negative half axis of the x-axis, and the distance from the origin is 4, Find: (1) the coordinates of P and m (2) Area of triangle map Depressed ……

How is it possible that the image intersects P and M points below the x-axis
(1)
Substituting y = - 3x into y = - 6 / X yields - 3x = - 6 / X
x^2=2 x=±√2
We can get the coordinates of two intersections: P (√ 2, - 3 √ 2); m (√ 2,3 √ 2)
(2)
Area of triangle map = (4 * 3 √ 2 + 4 * 3 √ 2) / 2 = 12 √ 2