(2011. Bazhong) as shown in the figure, if the image of primary function y = 2x-1 and inverse scale function y = K / 2x passes through a (1,1), and y = 2x-1 intersects with y axis at point D, another intersection point with inverse scale function y = K / 2x is B, and there is a point C in the positive half axis of Y axis, so that the area of △ ABC is 6, then the coordinates of point C can be obtained

(2011. Bazhong) as shown in the figure, if the image of primary function y = 2x-1 and inverse scale function y = K / 2x passes through a (1,1), and y = 2x-1 intersects with y axis at point D, another intersection point with inverse scale function y = K / 2x is B, and there is a point C in the positive half axis of Y axis, so that the area of △ ABC is 6, then the coordinates of point C can be obtained

Substituting a (1,1) into y = K / (2x) to get 1 = K / 2, k = 2, the inverse proportion function is y = 1 / x, and y = 2x-1 is eliminated by y = 1 / X and y = 2x-1 to get 1 / x = 2x-1, that is, 2x & # 178; - X-1 = 0, when x = 1 or x = - 1 / 2, x = - 1 / 2, where x = 0 in B (- 1 / 2, - 2) y = 2x-1, we get y = - 1  y = 2x-1 and y