题目内容
如图□ABCD,E是BC上一点,BE:EC=2:3,AE交BD于F,则BF:FD等于( )
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A.2:5 | B.3:5 | C.2:3 | D.5:7 |
A
∵BE:EC=2:3,∴BE:BC=2:5,∵四边形ABCD是平行四边形,
∴AD=BC,AD∥BC,∴BE:AD=2:5,△ADF∽△EBF,∴
.故选A.
∴AD=BC,AD∥BC,∴BE:AD=2:5,△ADF∽△EBF,∴
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