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\(\frac{2010.2011+4022}{2011.2014-4022}=\frac{2011.\left(2010+2\right)}{2011.\left(2014-2\right)}\)\(=\frac{2011.2012}{2011.2012}=1\)
\(\frac{2010\times2011+4022}{2011\times2014-4022}\)
\(=\frac{2011\times\left(2010+2\right)}{2011\times\left(2014-2\right)}\)
\(=\frac{2011\times2012}{2011\times2012}\)
\(=1\)
Cho mk xin cái li ke
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Ta có: \(\dfrac{2012.2013-1}{2012.2013}\)=\(\dfrac{2012.2013}{2012.2013}-\dfrac{1}{2012.2013}\)(1)
\(\dfrac{2011.2012-1}{2011.2012}\)=\(\dfrac{2011.2012}{2011.2012}-\dfrac{1}{2011.2012}\)(2)
Ta thấy:\(\dfrac{1}{2011.2012}>\dfrac{1}{2012.2013}\)=>(1)>(2) (vì số bị trừ đều như nhau mà số trừ lớn hơn nên b/thức đó bé hơn)
Vậy \(\dfrac{2011.2012-1}{2011.2012}< \dfrac{2012.2013-1}{2012.2013}\)
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\(\frac{2008\cdot2009+4018}{2010\cdot2011-4020}=\frac{2008\cdot2009+2009\cdot2}{2010\cdot2011-2010\cdot2}=\frac{\left(2008+2\right)\cdot2009}{2010\left(2011-2\right)}=\frac{2010\cdot2009}{2010\cdot2009}=1\)
b
2008.2009 + 4018 = 2008.2009 + 2.2009 0.25
= 2009.(2008+2) = 2009.2010 0.25
2010.2011-4020 = 2010.2011-2.2010 0.25
= 2010.(2011-2) = 2010.2009 0.25
⇒2008.2009 4018
2010.2011 4020
+
−
= 1
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Ta có:
2010 . 2011/2010 . 2011 + 1 2009 . 2010/2009 . 2010 + 1
= 1 - 1/2010 . 2011 + 1 = 1 - 1/2009 . 2010 + 1
Vì 2010 . 2011 + 1 > 2009 . 2010 + 1
=> 1/2010 . 2011 + 1 < 1/2009 . 2010 + 1
=> 1 - 1/2010 . 2011 + 1 > 1 - 1/2009 . 2010 + 1
=> 2010.2011/2010.2011+1 > 2009.2010/2009.2010+1
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\(A=\frac{2010.2011+4022}{2012.2013-4024}\)
\(A=\frac{2010.2011+2011.2}{2012.2013-2012.2}\)
\(A=\frac{2011.\left(2010+2\right)}{2012.\left(2013-1\right)}\)
\(A=\frac{2011.2012}{2012.2013}=\frac{2011}{2012}\)
mk nhầm r, xl bn nha
...
\(A=\frac{2011.\left(2010-2\right)}{2012.\left(2013-2\right)}\)
\(A=\frac{2011.2012}{2012.2011}=1\)