1. In the Cartesian coordinate system $x O y$, points $A, B$ lie on the parabola $y^{2}=2 x$, satisfying $\overrightarrow{O A} \cdot \overrightarrow{O B}=-1, F$ is the focus of the parabola, then the minimum value of $S_{\triangle O F A}+S_{\triangle O F B}$ is $\qquad$ .
Let $A\left(\frac{y_{1}^{2}}{2}, y_{1}\right), B\left(\frac{y_{2}^{2}}{2}, y_{2}\right)$, then $\overrightarrow{O A} \cdot \overrightarrow{O B}=\frac{y_{1}^{2} y_{2}^{2}}{4}+y_{1} y_{2}=-1 \Rightarrow y_{1} y_{2}=-2$. Therefore, $S_{\triangle O F A}+S_{\triangle O F B}=\frac{1}{4}\left(\left|y_{1}\right|+\left|y_{2}\right|\right) \geqslant \frac{\sqrt{2}}{2}$.