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Solving 20 10 multiple-choice mathematics in Hubei college entrance examination (science)
This problem is solved by vectors.

AB=AM+MB，AC=AM+MC，

Because AB+AC=mAM

So AM+MB+AM+MC=mAM

Namely: MB+MC=(m-2)AM.

Because MA+MB+MC=0

Then MB+MC=-MA

So -MA=(m-2)AM。

AM=(m-2)AM

m-2= 1

So m=3

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