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信息发布者:
对应边:$MQ$与$PN$,$MO$与$PO$,$OQ$与$ON$
对应角:$\angle M$与$\angle P$,$\angle Q$与$\angle N$,$\angle MOQ$与$\angle PON$
解:$\because \triangle ABC \cong \triangle DBC$,$\therefore \angle A = \angle D = 45°$,$\angle ACB = \angle DCB$.又$\because \angle ACB + \angle DCB = \angle ACD = 76°$,$\therefore \angle DCB = \angle ACB = 38°$.$\therefore \angle DBC = 180° - \angle DCB - \angle D = 180° - 38° - 45° = 97°$.
(1)相等.$\because \triangle ABE \cong \triangle ACF$,$\therefore AB = AC$,$AE = AF$,$\therefore AB - AF = AC - AE$,即$BF = CE$.
(2)相等.$\because \triangle ABE \cong \triangle ACF$.$\therefore \angle AEB = \angle AFC$.$\therefore \angle BFO = \angle CEO$.


对应边:$MQ$与$PN$,$MO$与$PO$,$OQ$与$ON$
对应角:$\angle M$与$\angle P$,$\angle Q$与$\angle N$,$\angle MOQ$与$\angle PON$
解:$\because \triangle ABC \cong \triangle DBC$,$\therefore \angle A = \angle D = 45°$,$\angle ACB = \angle DCB$.又$\because \angle ACB + \angle DCB = \angle ACD = 76°$,$\therefore \angle DCB = \angle ACB = 38°$.$\therefore \angle DBC = 180° - \angle DCB - \angle D = 180° - 38° - 45° = 97°$.
(1)相等.$\because \triangle ABE \cong \triangle ACF$,$\therefore AB = AC$,$AE = AF$,$\therefore AB - AF = AC - AE$,即$BF = CE$.
(2)相等.$\because \triangle ABE \cong \triangle ACF$.$\therefore \angle AEB = \angle AFC$.$\therefore \angle BFO = \angle CEO$.