f(x)=log^2(x+1)/(x-1)+log^2(x-1)+log^2(p-x)的值域(负无穷,log^(p+1)^2/4],则p的取值范围是?

问题描述:

f(x)=log^2(x+1)/(x-1)+log^2(x-1)+log^2(p-x)的值域(负无穷,log^(p+1)^2/4],则p的取值范围是?
对称轴应该大于1吧?要不然取不到最大值,p/2大于1,所以p应该大于3吧

f(x)=log^2(x+1)/(x-1)+log^2(x-1)+log^2(p-x)定义域:(x+1)/(x-1)>0,且x-1>0,且p-x>0x<-1或x>1,且x>1,且x<p∴1<x<pf(x)=log2 (x+1)/(x-1)+log2 (x-1)+log2 (p-x)=log2 [(x+1)/(x-1) *(x-1) * (p-x) ]=lo...