如图，点\(D\;,\;E\;,\;F\)分别为\(\vartriangle ABC\)的三边\(AB\;,\;BC\;,\;CA\)的中点．
证明：（1）\(\overrightarrow {BA} + \overrightarrow {AF} = \overrightarrow {BC} + \overrightarrow {CF} \)；
（2）\(\overrightarrow {AE} + \overrightarrow {BF} + \overrightarrow {CD} = 0\).
