题目内容
如图,在△ABC中,BC=6,G是△ABC的重心,过G作边BC的平行线交AC于点H,则GH的长为______.
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如图,连接AG,并延长AG交BC于D;
∵G是△ABC的重心,
∴AG:GD=2:3,且D是BC的中点;
∵GH∥BC,
∴
=
=
;
∵CD=
BC=3,
∴GH=2.
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∵G是△ABC的重心,
∴AG:GD=2:3,且D是BC的中点;
∵GH∥BC,
∴
GH |
CD |
AG |
AD |
2 |
3 |
∵CD=
1 |
2 |
∴GH=2.
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