It is known that the intersection point of the image with the inverse scale function y = K / X and the linear function y = MX + n is a3,4 And the distance from the intersection of the image of the first-order function and the x-axis to the origin is 5 Finding two analytic expressions Find the coordinates of another point and determine what type of angle AOB is
∵ the analytic expression of inverse scale function y = K / x, and a (3,4)
We get y = 12 / X
The distance from the intersection of the image of a function of degree and the X axis to the origin is 5
The intersection x-axis of y = MX + N and B1 (5,0) or B2 (- 5,0)
Substituting the coordinates of point a, we can get y = - 2x + 10 or y = 1 / 2x + 5 / 2
When y = - 2x + 10, the angle AOB is an acute angle
When y = 1 / 2x + 5 / 2, the angle AOB is obtuse