如图,已知 BD BE = AD CE = AB BC ,求证:△ABC∽△DBE

来源:学生作业帮助网 编辑:作业帮 时间:2024/07/02 20:28:16
如图,已知 BD BE = AD CE = AB BC ,求证:△ABC∽△DBE
x){}:Ooz>3vRprVy{f=Q^ &HB l ̳} Ɏ `)@a™@#BB3BVL=v Ne:el33D!N[  $ 03E6مv<;P1

如图,已知 BD BE = AD CE = AB BC ,求证:△ABC∽△DBE
如图,已知 BD BE = AD CE = AB BC ,求证:△ABC∽△DBE

如图,已知 BD BE = AD CE = AB BC ,求证:△ABC∽△DBE
证明:∵
BD
BE
=
AD
CE
=
AB
BC
,
∴△ABD∽△CBE.
∴∠ABD=∠EBC.
∴∠ABC=∠EBD.

BD
BE
=
AB
BC
,

BD
AB
=
BE
BC

∴△DBE∽△ABC.