设二次函数f(x)=ax^2+bx+c的图像过点(0,1)和(1,4)且对于任意实数x,不等式f(x)≥4x恒成立1.求函数f(x)的表达式2.设g(x)=kx+1,若F(x)=log2[g(x)-f(x)]在区间[1,2]上是增函数,求实数k的取值范围
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![设二次函数f(x)=ax^2+bx+c的图像过点(0,1)和(1,4)且对于任意实数x,不等式f(x)≥4x恒成立1.求函数f(x)的表达式2.设g(x)=kx+1,若F(x)=log2[g(x)-f(x)]在区间[1,2]上是增函数,求实数k的取值范围](/uploads/image/z/2084547-3-7.jpg?t=%E8%AE%BE%E4%BA%8C%E6%AC%A1%E5%87%BD%E6%95%B0f%28x%29%3Dax%5E2%2Bbx%2Bc%E7%9A%84%E5%9B%BE%E5%83%8F%E8%BF%87%E7%82%B9%280%2C1%29%E5%92%8C%281%2C4%29%E4%B8%94%E5%AF%B9%E4%BA%8E%E4%BB%BB%E6%84%8F%E5%AE%9E%E6%95%B0x%2C%E4%B8%8D%E7%AD%89%E5%BC%8Ff%EF%BC%88x%EF%BC%89%E2%89%A54x%E6%81%92%E6%88%90%E7%AB%8B1.%E6%B1%82%E5%87%BD%E6%95%B0f%28x%29%E7%9A%84%E8%A1%A8%E8%BE%BE%E5%BC%8F2.%E8%AE%BEg%28x%29%3Dkx%2B1%2C%E8%8B%A5F%28x%29%3Dlog2%5Bg%28x%29-f%28x%29%5D%E5%9C%A8%E5%8C%BA%E9%97%B4%5B1%2C2%5D%E4%B8%8A%E6%98%AF%E5%A2%9E%E5%87%BD%E6%95%B0%2C%E6%B1%82%E5%AE%9E%E6%95%B0k%E7%9A%84%E5%8F%96%E5%80%BC%E8%8C%83%E5%9B%B4)
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