如图,已知BC=1/3AB=1/4CD,点E F分别是AB CD的中点,EF=60cm,求AB CD的长.a----e-c---b---f-----d

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如图,已知BC=1/3AB=1/4CD,点E F分别是AB CD的中点,EF=60cm,求AB CD的长.a----e-c---b---f-----d

如图,已知BC=1/3AB=1/4CD,点E F分别是AB CD的中点,EF=60cm,求AB CD的长.a----e-c---b---f-----d
如图,已知BC=1/3AB=1/4CD,点E F分别是AB CD的中点,EF=60cm,求AB CD的长.a----e-c---b---f-----d

如图,已知BC=1/3AB=1/4CD,点E F分别是AB CD的中点,EF=60cm,求AB CD的长.a----e-c---b---f-----d
已知,BC = (1/3)AB = (1/4)CD ,
可得:AB = 3BC ,CD = 4BC ;
已知,E、F分别是AB、CD的中点,
可得:AE = (1/2)AB = (3/2)BC ,DF = (1/2)CD = 2BC ;
因为,AD = AB+CD-BC = 6BC ,
所以,EF = AD-AE-DF = (5/2)BC ;
则有:BC = (2/5)EF = 24 cm ,
所以,AB = 3BC = 72 cm ,CD = 4BC = 96 cm .

当点E、F在CB延长线上时,点D与A重合,设BC=x,AB=3x,CD=4x
EF=EB-FB=1/2AB-(FC-BC)=1.5x-(1/2CD-x)=1.5x-(2x-x)=0.5x
即0.5x=60,x=120
AB=3x=360cm;CD=4x=480cm.

因为BC=1/3AB,E是AB的中点,
所以BE=1/2AB,
EC=1/2BC=1/2BC
BC=1/4CD,F是CD的中点,所以BC=BF
EF=6ocm,1/2BC + BC+ BC=60 BC=24
AB=3BC=72 CD=4BC=96

已知,BC = (1/3)AB = (1/4)CD ,
可得:AB = 3BC ,CD = 4BC ;
已知,E、F分别是AB、CD的中点,
可得:AE = (1/2)AB = (3/2)BC ,DF = (1/2)CD = 2BC ;
因为,AD = AB+CD-BC = 6BC ,
所以,EF = AD-AE-DF = (5/2)BC ;
则有:...

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已知,BC = (1/3)AB = (1/4)CD ,
可得:AB = 3BC ,CD = 4BC ;
已知,E、F分别是AB、CD的中点,
可得:AE = (1/2)AB = (3/2)BC ,DF = (1/2)CD = 2BC ;
因为,AD = AB+CD-BC = 6BC ,
所以,EF = AD-AE-DF = (5/2)BC ;
则有:BC = (2/5)EF = 24 cm ,
所以,AB = 3BC = 72 cm ,CD = 4BC = 96 cm

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已知,BC = (1/3)AB = (1/4)CD ,
可得:AB = 3BC ,CD = 4BC ;
已知,E、F分别是AB、CD的中点,
可得:AE = (1/2)AB = (3/2)BC ,DF = (1/2)CD = 2BC ;
因为,AD = AB+CD-BC = 6BC ,
所以,EF = AD-AE-DF = (5/2)BC ;
则有:...

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已知,BC = (1/3)AB = (1/4)CD ,
可得:AB = 3BC ,CD = 4BC ;
已知,E、F分别是AB、CD的中点,
可得:AE = (1/2)AB = (3/2)BC ,DF = (1/2)CD = 2BC ;
因为,AD = AB+CD-BC = 6BC ,
所以,EF = AD-AE-DF = (5/2)BC ;
则有:BC = (2/5)EF = 24 cm ,
所以,AB = 3BC = 72 cm ,CD = 4BC = 96 cm

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因为:BC = (1/3)AB = (1/4)CD ,
所以:AB = 3BC ,CD = 4BC ;
因为:E、F分别是AB、CD的中点,
所以:AE = (1/2)AB = (3/2)BC ,DF = (1/2)CD = 2BC ;
因为,AD = AB+CD-BC = 6BC ,
所以,EF = AD-AE-DF = (5/2)BC ;
因为:...

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因为:BC = (1/3)AB = (1/4)CD ,
所以:AB = 3BC ,CD = 4BC ;
因为:E、F分别是AB、CD的中点,
所以:AE = (1/2)AB = (3/2)BC ,DF = (1/2)CD = 2BC ;
因为,AD = AB+CD-BC = 6BC ,
所以,EF = AD-AE-DF = (5/2)BC ;
因为:BC = (2/5)EF = 24 cm ,
所以,AB = 3BC = 72 cm ,CD = 4BC = 96 cm 。

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