如图,在△ABE中,AB=AE,AD=AC,角BAD=角EAC,BC,DE交于点O.请问这道题怎如图,在△ABE中,AB=AE,AD=AC,角BAD=角EAC,BC,DE交于点O. 请问这道题怎么写
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![如图,在△ABE中,AB=AE,AD=AC,角BAD=角EAC,BC,DE交于点O.请问这道题怎如图,在△ABE中,AB=AE,AD=AC,角BAD=角EAC,BC,DE交于点O. 请问这道题怎么写](/uploads/image/z/5203264-40-4.jpg?t=%E5%A6%82%E5%9B%BE%2C%E5%9C%A8%E2%96%B3ABE%E4%B8%AD%2CAB%3DAE%2CAD%3DAC%2C%E8%A7%92BAD%3D%E8%A7%92EAC%2CBC%2CDE%E4%BA%A4%E4%BA%8E%E7%82%B9O.%E8%AF%B7%E9%97%AE%E8%BF%99%E9%81%93%E9%A2%98%E6%80%8E%E5%A6%82%E5%9B%BE%2C%E5%9C%A8%E2%96%B3ABE%E4%B8%AD%2CAB%3DAE%2CAD%3DAC%2C%E8%A7%92BAD%3D%E8%A7%92EAC%2CBC%2CDE%E4%BA%A4%E4%BA%8E%E7%82%B9O.+%E8%AF%B7%E9%97%AE%E8%BF%99%E9%81%93%E9%A2%98%E6%80%8E%E4%B9%88%E5%86%99)
如图,在△ABE中,AB=AE,AD=AC,角BAD=角EAC,BC,DE交于点O.请问这道题怎如图,在△ABE中,AB=AE,AD=AC,角BAD=角EAC,BC,DE交于点O. 请问这道题怎么写
如图,在△ABE中,AB=AE,AD=AC,角BAD=角EAC,BC,DE交于点O.请问这道题怎
如图,在△ABE中,AB=AE,AD=AC,角BAD=角EAC,BC,DE交于点O. 请问这道题怎么写
如图,在△ABE中,AB=AE,AD=AC,角BAD=角EAC,BC,DE交于点O.请问这道题怎如图,在△ABE中,AB=AE,AD=AC,角BAD=角EAC,BC,DE交于点O. 请问这道题怎么写
【1楼抄袭的,同一团队,我都觉得丢人】
证明:
①
∵∠BAD=∠EAC
∴∠BAD+∠DAC=∠EAC+∠DAC
即∠BAC=∠EAD
又∵AB=AE,AC=AD
∴△ABC≌△AED(SAS)
②
∵△ABC≌△AED
∴∠ABC=∠AED
∵AB=AE
∴∠ABE=∠AEB
∴∠ABE-∠ABC=∠AEB-∠AED
即∠OEB=∠OBE
∴OB=OE
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