2004*2007+6/2005*2005+2009
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Tham khảo
Ta có:
2004×2007+6
=(2005-1)×2007+6
=2005×2007-2007+6
=2005×(2005+2)-2007+6
=2005×2005+2005×2-2007+6
=2005×2005+4010-2007+6
=2005×2005+9
Vậy 2004×2007+6/2005×2005+2009=1
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\(\frac{2004\times2007+6}{2005\times2005-2009}\)
\(=\frac{4022028+6}{4020025-2009}\)
\(=\frac{4022034}{4018016}.\)
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=(1-2-3+4)+(5-6-7+8)+...+(2005-2006-2007+2008)+2009
=2009
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\(A=\frac{2002}{2001}+\frac{2003}{2002}+\frac{2004}{2003}+\frac{2005}{2004}+\frac{2006}{2005}+\frac{2007}{2006}+\frac{2008}{2007}+\frac{2009}{2008}>\frac{2001}{2001}+\frac{2002}{2002}+\frac{2003}{2003}+\frac{2004}{2004}+\frac{2005}{2005}+\frac{2006}{2006}+\frac{2007}{2007}+\frac{2008}{2008}\)
\(A=\frac{2002}{2001}+\frac{2003}{2002}+\frac{2004}{2003}+\frac{2005}{2004}+\frac{2006}{2005}+\frac{2007}{2006}+\frac{2008}{2007}+\frac{2009}{2008}>1+1+1+1+1+1+1+1\)\(A=\frac{2002}{2001}+\frac{2003}{2002}+\frac{2004}{2003}+\frac{2005}{2004}+\frac{2006}{2005}+\frac{2007}{2006}+\frac{2008}{2007}+\frac{2009}{2008}>8\)
\(A>8\)
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