设函数f(x)=x^2-x+b,且满足f(log2(a)=b,log2[f(a)]=2(a>0,a不等于1),求f(log2(x)的最小值及对应的x的
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![设函数f(x)=x^2-x+b,且满足f(log2(a)=b,log2[f(a)]=2(a>0,a不等于1),求f(log2(x)的最小值及对应的x的](/uploads/image/z/2531379-3-9.jpg?t=%E8%AE%BE%E5%87%BD%E6%95%B0f%28x%29%3Dx%5E2-x%2Bb%2C%E4%B8%94%E6%BB%A1%E8%B6%B3f%EF%BC%88log2%28a%29%3Db%2Clog2%5Bf%28a%29%5D%3D2%28a%EF%BC%9E0%2Ca%E4%B8%8D%E7%AD%89%E4%BA%8E1%EF%BC%89%2C%E6%B1%82f%28log2%28x%29%E7%9A%84%E6%9C%80%E5%B0%8F%E5%80%BC%E5%8F%8A%E5%AF%B9%E5%BA%94%E7%9A%84x%E7%9A%84)
设函数f(x)=x^2-x+b,且满足f(log2(a)=b,log2[f(a)]=2(a>0,a不等于1),求f(log2(x)的最小值及对应的x的
设函数f(x)=x^2-x+b,且满足f(log2(a)=b,log2[f(a)]=2(a>0,a不等于1),求f(log2(x)的最小值及对应的x的
设函数f(x)=x^2-x+b,且满足f(log2(a)=b,log2[f(a)]=2(a>0,a不等于1),求f(log2(x)的最小值及对应的x的
代进去求解即可
a= 4
b = 2
f(log2(x)) = (log2(x))^2 -log2(x) + 2 = (log2(x) - 1/2)^2 + 9/4
故当log2(x) = 1/2时,f(log2(x)) 有最小值9/4
即x 等于根号2时,f(log2(x)) 有最小值9/4
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