如图,已知AB分之AE = BC分之ED = AC分之AD 证明∠BAD=∠CAE

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如图,已知AB分之AE = BC分之ED = AC分之AD 证明∠BAD=∠CAE
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如图,已知AB分之AE = BC分之ED = AC分之AD 证明∠BAD=∠CAE
如图,已知AB分之AE = BC分之ED = AC分之AD 证明∠BAD=∠CAE

如图,已知AB分之AE = BC分之ED = AC分之AD 证明∠BAD=∠CAE
楼主你好
∵AB分之AE = BC分之ED = AC分之AD
∴△ABC∽△ADE,
∴∠BAC=∠DAE,
∴∠BAD=∠CAE.
满意请点击屏幕下方“选为满意回答”,谢谢.

证明:∵AB分之AE = BC分之ED = AC分之AD
∴△ABC∽△AED
∴∠BAC=∠EAD
∴∠BAC-∠DAC=∠EAD-∠DAC
即∠BAD=∠EAC

因为 AB分之AE = BC分之ED = AC分之AD
所以 三角形 ABC 与三角形ADE相似
所以 角BAC=角DAE
角BAD=角BAE-角DAE
角CAE=角BAE-角BAC
所以 角BAD=角CAE