1. Given the function $y=\frac{\left|x^{2}-1\right|}{x-1}$, its graph intersects with the graph of the function $y=k x-2$ at two points. Then the range of the real number $k$ is $\qquad$ .
-,1. $(0,1) \cup(1,4)$.
From the given information, we have
$$
y=\left\{\begin{array}{ll}
x+1, & x \in(-\infty,-1) \cup(1,+\infty) ; \\
-x-1, & x \in[-1,1) .
\end{array}\right.
$$

Combining with the graph, we know $k \in(0,1) \cup(1,4)$.