44. In the rectangular coordinate system $x O y$, point $A(x, y)(x y \neq 0)$ has a symmetric point $B$ with respect to the $x$-axis, and a symmetric point $C$ with respect to the $y$-axis, and $S_{\triangle A O B}=4$, then $S_{\triangle A B C}=$ $\qquad$
Answer: 8.
Solution: According to the given conditions, in the Cartesian coordinate system, let's assume point $A$ is in the first quadrant, and draw the following diagram, then
$$
\begin{array}{r}
S_{\triangle A O B}=\frac{1}{2} x \cdot 2 y=x y=4, \\
S_{\triangle A B C}=\frac{1}{2} \cdot 2 x \cdot 2 y=2 x y=8 .
\end{array}
$$

Therefore,
if $A$ is in other quadrants, by symmetry, the area of triangle $A B C$ is also 8.