Question

so sánh biểu thức A và B biết rằng ;

A =2000/2001+2001/2001 B=2000+2001/2001+2002

Answer 1

Đề sai chỗ 2001/2001 phải là 2001/2002

\(A=\dfrac{2000}{2001}+\dfrac{2001}{2002}>\dfrac{2000}{2002}+\dfrac{2001}{2002}=\dfrac{4001}{2002}>1\)

B=\(\dfrac{2000+2001}{2001+2002}=\dfrac{4001}{4003}< 1\)

=>A>B

Answer 2

A > B

Answer 3

Ta có :

B = \(\dfrac{2000+2001}{2001+2002}\) \(=\dfrac{2000}{2001+2002}+\dfrac{2001}{2001+2002}\)

Vì \(\dfrac{2000}{2001}\) > \(\dfrac{2000}{2001+2002}\)

\(\dfrac{2001}{2002}\) \(>\dfrac{2001}{2001+2002}\)

Nên \(\dfrac{2000}{2001}+\dfrac{2001}{2002}\) \(>\dfrac{2000+2001}{2001+2002}\)

Vậy A > B