Question

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

khong quy dong. So sanh A va B

Answer 1

Ta có: 2000/2001>1/2 ;  2001/2002>1/2

=>A=1/2+1/2=1=>A>1

B=2000+2001/2001+2002=4001/4003<1

A>1;B<1

=>A>B

Vậy A>B

Answer 2

$B=\frac{2000}{2001+2002}+\frac{2001}{2001-2002}$B=20002001+2002 +20012001−2002 

Vì:

 

Answer 3

Ta có : \(B=\frac{2000}{2001+2002}+\frac{2001}{2001-2002}\)

Vì : \(\frac{2000}{2001}>\frac{2000}{2001+2002}\)

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

\(\Rightarrow\left(\frac{2000}{2001}+\frac{2001}{2002}\right)>\left(\frac{2000}{2001-2002}-\frac{2001}{2001+2001}\right)\)

\(\Rightarrow A>B\)

Answer 4

Ta thấy 2000/2001=2000/2001

Mà 2001/2000>2001/2002

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

Vậy A>B
_Con giúp rồi=)))k đi ạ=))))