Câu hỏi của Trịnh Hồng Phát

Question

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

So sánh A và B

Kim Ngưu cute · Accepted Answer

B= $\dfrac{2000+2001}{2001+2002}=\dfrac{2000}{2001+2002}+\dfrac{2001}{2001+2002}$

Ta có : $\dfrac{2000}{2001}>\dfrac{2000}{2001+2002};\dfrac{2001}{2002}>\dfrac{2001}{2001+2002}$

$\Rightarrow$ $\dfrac{2000}{2001}+\dfrac{2001}{2000}>\dfrac{2000+2001}{2001+2002}$

$\Rightarrow$ A>BCâu trả lời: B= $\dfrac{2000+2001}{2001+2002}=\dfrac{2000}{2001+2002}+\dfrac{2001}{2001+2002}$

Ta có : $\dfrac{2000}{2001}>\dfrac{2000}{2001+2002};\dfrac{2001}{2002}>\dfrac{2001}{2001+2002}$

$\Rightarrow$ $\dfrac{2000}{2001}+\dfrac{2001}{2000}>\dfrac{2000+2001}{2001+2002}$

$\Rightarrow$ A>B

Dương Huy Vũ · Answer

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