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(2014?乌鲁木齐)如图,在△ABC中,点D,E分别在AB,AC上,DE∥BC,AD=CE.若AB:AC=3:2,BC=10,则DE
(2014?乌鲁木齐)如图,在△ABC中,点D,E分别在AB,AC上,DE∥BC,AD=CE.若AB:AC=3:2,BC=10,则DE的长为()A.3B.4C.5D.6...
(2014?乌鲁木齐)如图,在△ABC中,点D,E分别在AB,AC上,DE∥BC,AD=CE.若AB:AC=3:2,BC=10,则DE的长为( )A.3B.4C.5D.6
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∵DE∥BC,
∴AD:AE=AB:AC=3:2,
∵AD=CE.
∴CE:AE=3:2,
∴AE:AC=2:5,
∴DE:BC=2:5,
∵BC=10,
∴DE:10=2:5,
解得DE=4.
故选:B.
∴AD:AE=AB:AC=3:2,
∵AD=CE.
∴CE:AE=3:2,
∴AE:AC=2:5,
∴DE:BC=2:5,
∵BC=10,
∴DE:10=2:5,
解得DE=4.
故选:B.
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