3. If the quadratic function $y=a x^{2}+(1-4 a) x-2$ intersects the reciprocal function $y=\frac{8}{x}(x>0)$ at only one point, then this intersection point is $\qquad$
3. $(4,2)$.

The quadratic function passes through the point $(4,2)$ (regardless of the value of $a$), and $y=\frac{8}{x}$ always passes through the point $(4,2)$.