AB=AD,AC=AE,BC=DE.求证∠BAD=∠CAE
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AB=AD,AC=AE,BC=DE.求证∠BAD=∠CAEAB=AD,AC=AE,BC=DE.求证∠BAD=∠CAEAB=AD,AC=AE,BC=DE.求证∠BAD=∠CAE因为AB=AD,AC=AE
AB=AD,AC=AE,BC=DE.求证∠BAD=∠CAE
AB=AD,AC=AE,BC=DE.求证∠BAD=∠CAE
AB=AD,AC=AE,BC=DE.求证∠BAD=∠CAE
因为AB=AD,AC=AE,BC=DE 所以三角形BAC与三角形DAE全等 所以∠BAC=∠DAE
所以∠BAC-∠DAC=∠DAE-∠DAC 所以∠BAD=∠CAE
标准过程见图
3边相同 三角形全等 ∠BAD=∠BAC+∠CAD=∠CAD+∠DAE=∠CAE
∵AB=AC,AC=AE,BC=DE
∴△ABC≌△ADE
∴∠BAC=∠DAE
又∵∠BAD+∠DAC=∠DAC+∠EAC
∴∠BAD=∠CAE
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