试题与答案

函数f(x)=2ln x的图象与函数g(x)=x2-4x+5的图象的交点个数为(

题型:选择题

题目:

函数f(x)=2ln x的图象与函数g(x)=x2-4x+5的图象的交点个数为( ).

A.3

B.2

C.1

D.0

答案:

答案:B

由已知g(x)=(x-2)2+1,所以其顶点为(2,1),又f(2)=2ln 2∈(1,2),可知点(2,1)位于函数f(x)=2ln x图象的下方,故函数f(x)=2ln x的图象与函数g(x)=x2-4x+5的图象有2个交点.

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