如图,梯形的梯子AA'//EE',AB=BC=CD=DE,A'B'=B'C'=C'D'=D'E',AA'=0.5m,EE'=0.8m求BB',CC',DD'的长
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![如图,梯形的梯子AA'//EE',AB=BC=CD=DE,A'B'=B'C'=C'D'=D'E',AA'=0.5m,EE'=0.8m求BB',CC',DD'的长](/uploads/image/z/1735986-66-6.jpg?t=%E5%A6%82%E5%9B%BE%2C%E6%A2%AF%E5%BD%A2%E7%9A%84%E6%A2%AF%E5%AD%90AA%27%2F%2FEE%27%2CAB%3DBC%3DCD%3DDE%2CA%27B%27%3DB%27C%27%3DC%27D%27%3DD%27E%27%2CAA%27%3D0.5m%2CEE%27%3D0.8m%E6%B1%82BB%27%2CCC%27%2CDD%27%E7%9A%84%E9%95%BF)
如图,梯形的梯子AA'//EE',AB=BC=CD=DE,A'B'=B'C'=C'D'=D'E',AA'=0.5m,EE'=0.8m求BB',CC',DD'的长
如图,梯形的梯子AA'//EE',AB=BC=CD=DE,A'B'=B'C'=C'D'=D'E',AA'=0.5m,EE'=0.8m求BB',CC',DD'的长
如图,梯形的梯子AA'//EE',AB=BC=CD=DE,A'B'=B'C'=C'D'=D'E',AA'=0.5m,EE'=0.8m求BB',CC',DD'的长
∵四边形AEE′A′是梯形
又∵AB=BC=CD=DE,A'B'=B'C'=C'D'=D'E,
∴AC=CE,A′C′=C′E′,
∴CC′是梯形AEE′A′的中位线,
∴CC′=(0.5+0.8)/2=0.65m
同理可得BB′是梯形ACC′A′的中位线,DD′是梯形CEE′C′的中位线,
∴BB′=(0.5+0.65)/2=0.575m
DD′=(0.65+0.8)/2=0.725m
∵A′B′=B′C′=C′D′=D′E′,AB=BC=CD=DE,
∴BB'∥CC'∥DD',
∵AA′∥EE′,
∴AA'∥BB'∥CC'∥DD'∥EE',
∴CC'为梯形AEE'A'的中位线,BB'为梯形ACC'A'的中位线,DD'为梯形CEE'C'的中位线,
∴CC'=(0.4+0.8)÷2=0.6,
BB'=(0.4+0.6)÷2=0.5,<...
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∵A′B′=B′C′=C′D′=D′E′,AB=BC=CD=DE,
∴BB'∥CC'∥DD',
∵AA′∥EE′,
∴AA'∥BB'∥CC'∥DD'∥EE',
∴CC'为梯形AEE'A'的中位线,BB'为梯形ACC'A'的中位线,DD'为梯形CEE'C'的中位线,
∴CC'=(0.4+0.8)÷2=0.6,
BB'=(0.4+0.6)÷2=0.5,
DD'=(0.6+0.8)÷2=0.7.
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