$證明: 連接?? B D ,?? 取?? B D ??的中點(diǎn)?? O ,?? 連接?? O M 、???? O N ??$
$?? ∵ O M ??是?? \triangle A B D ??的中位線$
$?? ∴ O M / / B E,???? \angle B E N=\angle O M N??$
$ 同理可得?? O N / / C D,???? \angle N F C=\angle O N M ??$
$?? ∵O M=\frac {1}{2}\ \mathrm {A} B,???? O N=\frac {1}{2}\ \mathrm {C} D,???? A B=C D??$
$?? ∴O M=O N,???? \angle O M N=\angle O N M ??$
$?? ∴\angle B E N=\angle N F C ?$
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