已知二次函数f(x)=ax^2+bx+c(a,b,c∈R)满足条件;①图像过原点①图像过原点②f(1+x)=f(1-x)③方程f(x)=x有等根(1)求f(x)的解析式(2)求f(x)在x∈【-1,2】上的值域
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![已知二次函数f(x)=ax^2+bx+c(a,b,c∈R)满足条件;①图像过原点①图像过原点②f(1+x)=f(1-x)③方程f(x)=x有等根(1)求f(x)的解析式(2)求f(x)在x∈【-1,2】上的值域](/uploads/image/z/7621779-3-9.jpg?t=%E5%B7%B2%E7%9F%A5%E4%BA%8C%E6%AC%A1%E5%87%BD%E6%95%B0f%28x%29%3Dax%5E2%2Bbx%2Bc%28a%2Cb%2Cc%E2%88%88R%29%E6%BB%A1%E8%B6%B3%E6%9D%A1%E4%BB%B6%EF%BC%9B%E2%91%A0%E5%9B%BE%E5%83%8F%E8%BF%87%E5%8E%9F%E7%82%B9%E2%91%A0%E5%9B%BE%E5%83%8F%E8%BF%87%E5%8E%9F%E7%82%B9%E2%91%A1f%281%2Bx%29%3Df%281-x%29%E2%91%A2%E6%96%B9%E7%A8%8Bf%28x%29%3Dx%E6%9C%89%E7%AD%89%E6%A0%B9%EF%BC%881%EF%BC%89%E6%B1%82f%28x%29%E7%9A%84%E8%A7%A3%E6%9E%90%E5%BC%8F%EF%BC%882%EF%BC%89%E6%B1%82f%28x%29%E5%9C%A8x%E2%88%88%E3%80%90-1%2C2%E3%80%91%E4%B8%8A%E7%9A%84%E5%80%BC%E5%9F%9F)
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