<image> In the figure, in $$\triangle ABC$$, $$AB = AC$$ and $$AD$$ is the median of $$\triangle ABC$$. $$E$$ is the midpoint of $$AC$$. Connect $$DE$$, and let $$DF \perp AB$$ at $$F$$. Prove that: 
$$(1) \angle B = \angle EDC$$;
$$(2) \angle BDF = \angle ADE$$.