(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