二次函数f(x)=ax²+bx+c的系数a,b,c互不相等,若1/a,1/b,1/c成等差数列,a,c,b成等比数列,且f(x)在[-1,0]上的最大值为-6,则a=希望有详细的解答.谢谢.
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![二次函数f(x)=ax²+bx+c的系数a,b,c互不相等,若1/a,1/b,1/c成等差数列,a,c,b成等比数列,且f(x)在[-1,0]上的最大值为-6,则a=希望有详细的解答.谢谢.](/uploads/image/z/5195401-25-1.jpg?t=%E4%BA%8C%E6%AC%A1%E5%87%BD%E6%95%B0f%EF%BC%88x%EF%BC%89%3Dax%26sup2%3B%2Bbx%2Bc%E7%9A%84%E7%B3%BB%E6%95%B0a%2Cb%2Cc%E4%BA%92%E4%B8%8D%E7%9B%B8%E7%AD%89%2C%E8%8B%A51%2Fa%2C1%2Fb%2C1%2Fc%E6%88%90%E7%AD%89%E5%B7%AE%E6%95%B0%E5%88%97%2Ca%2Cc%2Cb%E6%88%90%E7%AD%89%E6%AF%94%E6%95%B0%E5%88%97%2C%E4%B8%94f%EF%BC%88x%EF%BC%89%E5%9C%A8%5B-1%2C0%5D%E4%B8%8A%E7%9A%84%E6%9C%80%E5%A4%A7%E5%80%BC%E4%B8%BA-6%2C%E5%88%99a%3D%E5%B8%8C%E6%9C%9B%E6%9C%89%E8%AF%A6%E7%BB%86%E7%9A%84%E8%A7%A3%E7%AD%94.%E8%B0%A2%E8%B0%A2.)
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