As shown in the figure, if the product of a point a on the image of the inverse scale function and the rectangle aboc enclosed by the coordinate axis is 8, then the analytical expression of the inverse scale function is______ ．

From the meaning of the question: S = | K | = 8, then k = ± 8; and because the image of the inverse proportion function is located in the first and third quadrant, k > 0, then k = 8, the analytic expression of the inverse proportion function is: y = 8x. So the answer is: y = 8x

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