已知函数f(x)=ax^2+bx+c(a不等于0)满足f(x)=0,对于任意x属于R都有f(x)大于等于x,且f(-1/2+x)=f(-1/2-x令g(x)=f(x)-|λx-1|(λ>0)(1)求函数f(x)的表达式(2)求函数g(x)的单调区间(3)研究函数g(x)在
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![已知函数f(x)=ax^2+bx+c(a不等于0)满足f(x)=0,对于任意x属于R都有f(x)大于等于x,且f(-1/2+x)=f(-1/2-x令g(x)=f(x)-|λx-1|(λ>0)(1)求函数f(x)的表达式(2)求函数g(x)的单调区间(3)研究函数g(x)在](/uploads/image/z/1627991-71-1.jpg?t=%E5%B7%B2%E7%9F%A5%E5%87%BD%E6%95%B0f%EF%BC%88x%29%3Dax%5E2%2Bbx%2Bc%28a%E4%B8%8D%E7%AD%89%E4%BA%8E0%29%E6%BB%A1%E8%B6%B3f%EF%BC%88x%EF%BC%89%3D0%2C%E5%AF%B9%E4%BA%8E%E4%BB%BB%E6%84%8Fx%E5%B1%9E%E4%BA%8ER%E9%83%BD%E6%9C%89f%28x%29%E5%A4%A7%E4%BA%8E%E7%AD%89%E4%BA%8Ex%2C%E4%B8%94f%28-1%2F2%2Bx%29%3Df%28-1%2F2-x%E4%BB%A4g%28x%29%3Df%28x%29-%7C%CE%BBx-1%7C%28%CE%BB%3E0%29%281%29%E6%B1%82%E5%87%BD%E6%95%B0f%EF%BC%88x%EF%BC%89%E7%9A%84%E8%A1%A8%E8%BE%BE%E5%BC%8F%EF%BC%882%EF%BC%89%E6%B1%82%E5%87%BD%E6%95%B0g%EF%BC%88x%EF%BC%89%E7%9A%84%E5%8D%95%E8%B0%83%E5%8C%BA%E9%97%B4%EF%BC%883%EF%BC%89%E7%A0%94%E7%A9%B6%E5%87%BD%E6%95%B0g%EF%BC%88x%EF%BC%89%E5%9C%A8)
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