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如图,在△ABE中,AB=AE,AD=AC,∠BAD=∠EAC,BC、DE交于点O.求证:(1)△ABC≌△AED;(2)OB=OE.
题目内容:
如图,在△ABE中,AB=AE,AD=AC,∠BAD=∠EAC,BC、DE交于点O.
求证:(1)△ABC≌△AED;
(2)OB=OE.
优质解答
证明:(1)∵∠BAD=∠EAC,∴∠BAD+∠DAC=∠EAC+∠DAC,即∠BAC=∠EAD.在△ABC和△AED中AB=AE∠BAC=∠EADAC=AD,∴△ABC≌△AED(SAS).(2)∵由(1)知△ABC≌△AED∴∠ABC=∠AED,∵AB=AE,∴∠ABE=∠AEB,∴...
求证:(1)△ABC≌△AED;
(2)OB=OE.
优质解答
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