(8分)
若平面内给定三个向量
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,
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(1)求
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。
(2)求满足
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的实数m,n的值。
(1)(0,6)
(2)
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设G为
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的重心,过G的直线
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分别交AB,AC于
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,已知:
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,
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和
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的面积分别为
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,
(Ⅰ) 求
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
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设
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为非零向量,下列命题:
①若
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与
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平行,则
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与

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②若
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,
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,
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与
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共线,则A、B、C、D四点必在同一条直线上;
③若
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与
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共线,则
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;
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;
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,
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,则
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,
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,
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、
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