如图,已知AB/AD=BC/DE=AE/AC,点B、D、E在同一直线上,试说明∠BAD=∠CBE=∠EAC

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如图,已知AB/AD=BC/DE=AE/AC,点B、D、E在同一直线上,试说明∠BAD=∠CBE=∠EAC
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如图,已知AB/AD=BC/DE=AE/AC,点B、D、E在同一直线上,试说明∠BAD=∠CBE=∠EAC
如图,已知AB/AD=BC/DE=AE/AC,点B、D、E在同一直线上,试说明∠BAD=∠CBE=∠EAC

如图,已知AB/AD=BC/DE=AE/AC,点B、D、E在同一直线上,试说明∠BAD=∠CBE=∠EAC
∵AB/AD=BC/DE=AE/AC
∴△ABC∽△ADE
∴∠BAC=∠DAE
即∠BAD+∠DAC=∠DAC+∠EAC
∴∠BAD=∠EAC
2、
∵△ABC∽△ADE
∴∠ADE=∠ABC
∵∠ADE=∠BAD+∠ABE
∠ABC=∠ABE+∠CBE
∴∠BAE=∠CBE=∠EAC