线段AB,AB延长线上取一点C,使BC=3AB,BA延长线上取一点D,使DA=3/2AB,E是DB中点,且EB=30cm,求DC的长.

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线段AB,AB延长线上取一点C,使BC=3AB,BA延长线上取一点D,使DA=3/2AB,E是DB中点,且EB=30cm,求DC的长.

线段AB,AB延长线上取一点C,使BC=3AB,BA延长线上取一点D,使DA=3/2AB,E是DB中点,且EB=30cm,求DC的长.
线段AB,AB延长线上取一点C,使BC=3AB,BA延长线上取一点D,使DA=3/2AB,E是DB中点,且EB=30cm,求DC的长.

线段AB,AB延长线上取一点C,使BC=3AB,BA延长线上取一点D,使DA=3/2AB,E是DB中点,且EB=30cm,求DC的长.
EB=DB/2=(DA+AB)/2=(3/2AB+AB)/2=5AB/4,AB=4EB/5
DC=DB+BC=2EB+3AB=2EB+3*4EB/5=22EB/5=22*30/5=132cm

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