已知关于x的方程x^2-(m+n+1)x+m=0(n≥0)的两个实数根为α,β,且α≤β(1)试用含有α、β的代数式表示m和n;(2)求证:α≤1≤β;(3)若点P(α,β)在△ABC的三条边上运动,且△ABC顶点的坐标分别是A(1,2)、B
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![已知关于x的方程x^2-(m+n+1)x+m=0(n≥0)的两个实数根为α,β,且α≤β(1)试用含有α、β的代数式表示m和n;(2)求证:α≤1≤β;(3)若点P(α,β)在△ABC的三条边上运动,且△ABC顶点的坐标分别是A(1,2)、B](/uploads/image/z/12169182-30-2.jpg?t=%E5%B7%B2%E7%9F%A5%E5%85%B3%E4%BA%8Ex%E7%9A%84%E6%96%B9%E7%A8%8Bx%5E2-%28m%2Bn%2B1%29x%2Bm%3D0%28n%E2%89%A50%29%E7%9A%84%E4%B8%A4%E4%B8%AA%E5%AE%9E%E6%95%B0%E6%A0%B9%E4%B8%BA%CE%B1%2C%CE%B2%2C%E4%B8%94%CE%B1%E2%89%A4%CE%B2%281%29%E8%AF%95%E7%94%A8%E5%90%AB%E6%9C%89%CE%B1%E3%80%81%CE%B2%E7%9A%84%E4%BB%A3%E6%95%B0%E5%BC%8F%E8%A1%A8%E7%A4%BAm%E5%92%8Cn%3B%282%29%E6%B1%82%E8%AF%81%3A%CE%B1%E2%89%A41%E2%89%A4%CE%B2%3B%283%29%E8%8B%A5%E7%82%B9P%EF%BC%88%CE%B1%2C%CE%B2%EF%BC%89%E5%9C%A8%E2%96%B3ABC%E7%9A%84%E4%B8%89%E6%9D%A1%E8%BE%B9%E4%B8%8A%E8%BF%90%E5%8A%A8%2C%E4%B8%94%E2%96%B3ABC%E9%A1%B6%E7%82%B9%E7%9A%84%E5%9D%90%E6%A0%87%E5%88%86%E5%88%AB%E6%98%AFA%EF%BC%881%2C2%EF%BC%89%E3%80%81B)
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