已知A、B、C是平面上不共线三点,动点P满足向量OP=1/3[(1-λ)向量OA+(1-λ)向量OB+(1+2λ)向量OC](λ∈R且λ≠0),O为坐标原点,则P的轨迹一定通过△ABC的().A.内心 B.垂心 C.重心 D.AB边的中点
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![已知A、B、C是平面上不共线三点,动点P满足向量OP=1/3[(1-λ)向量OA+(1-λ)向量OB+(1+2λ)向量OC](λ∈R且λ≠0),O为坐标原点,则P的轨迹一定通过△ABC的().A.内心 B.垂心 C.重心 D.AB边的中点](/uploads/image/z/2693203-43-3.jpg?t=%E5%B7%B2%E7%9F%A5A%E3%80%81B%E3%80%81C%E6%98%AF%E5%B9%B3%E9%9D%A2%E4%B8%8A%E4%B8%8D%E5%85%B1%E7%BA%BF%E4%B8%89%E7%82%B9%2C%E5%8A%A8%E7%82%B9P%E6%BB%A1%E8%B6%B3%E5%90%91%E9%87%8FOP%3D1%2F3%5B%281-%CE%BB%29%E5%90%91%E9%87%8FOA%2B%281-%CE%BB%29%E5%90%91%E9%87%8FOB%2B%281%2B2%CE%BB%29%E5%90%91%E9%87%8FOC%5D%28%CE%BB%E2%88%88R%E4%B8%94%CE%BB%E2%89%A00%29%2CO%E4%B8%BA%E5%9D%90%E6%A0%87%E5%8E%9F%E7%82%B9%2C%E5%88%99P%E7%9A%84%E8%BD%A8%E8%BF%B9%E4%B8%80%E5%AE%9A%E9%80%9A%E8%BF%87%E2%96%B3ABC%E7%9A%84%EF%BC%88%EF%BC%89.A.%E5%86%85%E5%BF%83+B.%E5%9E%82%E5%BF%83+C.%E9%87%8D%E5%BF%83+D.AB%E8%BE%B9%E7%9A%84%E4%B8%AD%E7%82%B9)
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