1. (2004 College Entrance Examination - Beijing Paper) In $\triangle A B C$, $\sin A+\cos A=\frac{\sqrt{2}}{2}, A C=2, A B=3$, find $\tan A$ and the area of $\triangle A B C$.
1. $\tan A=-(2+\sqrt{3}) ; S_{\triangle A B C}=\frac{3}{4}(\sqrt{6}+\sqrt{2})$;