已知P是三角形OAB所在平面内一点,且向量OP=xOA(向量)+yOB(向量)(x,y属于R)(1)若点P在直线AB上,则x,y应满足什么条件?(2)若0<x+y<1,求证点P必在三角形OAB内.
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![已知P是三角形OAB所在平面内一点,且向量OP=xOA(向量)+yOB(向量)(x,y属于R)(1)若点P在直线AB上,则x,y应满足什么条件?(2)若0<x+y<1,求证点P必在三角形OAB内.](/uploads/image/z/14344700-68-0.jpg?t=%E5%B7%B2%E7%9F%A5P%E6%98%AF%E4%B8%89%E8%A7%92%E5%BD%A2OAB%E6%89%80%E5%9C%A8%E5%B9%B3%E9%9D%A2%E5%86%85%E4%B8%80%E7%82%B9%2C%E4%B8%94%E5%90%91%E9%87%8FOP%3DxOA%28%E5%90%91%E9%87%8F%29%2ByOB%EF%BC%88%E5%90%91%E9%87%8F%EF%BC%89%EF%BC%88x%2Cy%E5%B1%9E%E4%BA%8ER%EF%BC%89%EF%BC%881%EF%BC%89%E8%8B%A5%E7%82%B9P%E5%9C%A8%E7%9B%B4%E7%BA%BFAB%E4%B8%8A%2C%E5%88%99x%2Cy%E5%BA%94%E6%BB%A1%E8%B6%B3%E4%BB%80%E4%B9%88%E6%9D%A1%E4%BB%B6%3F%EF%BC%882%EF%BC%89%E8%8B%A50%EF%BC%9Cx%2By%EF%BC%9C1%2C%E6%B1%82%E8%AF%81%E7%82%B9P%E5%BF%85%E5%9C%A8%E4%B8%89%E8%A7%92%E5%BD%A2OAB%E5%86%85.)
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