已知1/3≤a≤1,若f(x)=ax2-2x+1在区间〔1,3〕上的最大值为M(a),最小值为N(a),令g(a)=M(a)-N(a),(1)求g(a)的解析式;(2)判断g(a)的单调性,并求出g(a)的最小值.
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![已知1/3≤a≤1,若f(x)=ax2-2x+1在区间〔1,3〕上的最大值为M(a),最小值为N(a),令g(a)=M(a)-N(a),(1)求g(a)的解析式;(2)判断g(a)的单调性,并求出g(a)的最小值.](/uploads/image/z/14786050-58-0.jpg?t=%E5%B7%B2%E7%9F%A51%2F3%E2%89%A4a%E2%89%A41%2C%E8%8B%A5f%EF%BC%88x%EF%BC%89%3Dax2-2x%2B1%E5%9C%A8%E5%8C%BA%E9%97%B4%E3%80%941%2C3%E3%80%95%E4%B8%8A%E7%9A%84%E6%9C%80%E5%A4%A7%E5%80%BC%E4%B8%BAM%EF%BC%88a%EF%BC%89%2C%E6%9C%80%E5%B0%8F%E5%80%BC%E4%B8%BAN%EF%BC%88a%EF%BC%89%2C%E4%BB%A4g%EF%BC%88a%EF%BC%89%3DM%EF%BC%88a%EF%BC%89-N%EF%BC%88a%EF%BC%89%2C%281%29%E6%B1%82g%EF%BC%88a%EF%BC%89%E7%9A%84%E8%A7%A3%E6%9E%90%E5%BC%8F%3B%282%29%E5%88%A4%E6%96%ADg%EF%BC%88a%EF%BC%89%E7%9A%84%E5%8D%95%E8%B0%83%E6%80%A7%2C%E5%B9%B6%E6%B1%82%E5%87%BAg%EF%BC%88a%EF%BC%89%E7%9A%84%E6%9C%80%E5%B0%8F%E5%80%BC.)
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