So sanh 2 phan so
2009×2009+2008/2009×2009+2009 va 2009×2009+2009/2009×2009+2010
Những câu hỏi liên quan
So sánh 2 phân số:
A=2009*2009+2008/2009*2009+2009 va B=2009*2009+2009/2009*2009+2010
Vì 20009 x 2009 + 2008 < 2009 x 2009 + 2009
=>A < 1
Ta có: \(B=\frac{2009x2009+2009}{2008x2009+2010}=\frac{2009x\left(2008+1\right)+2009}{2008x2009+2010}=\frac{2008x2009+2009+2009}{2008x2009+2010}\)
\(B=\frac{2008x2009+4018}{2008x2009+2010}=\frac{2008x2009+2010+2008}{2008x2009+2010}=\frac{2008x2009+2010}{2008x2009+2010}+\frac{2008}{2008x2009+2010}\)
\(B=1+\frac{2008}{2008x2009+2010}>1\)
Mà A < 1
=>A < B
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- Uầy:)) Mới đây 3 li-ke:)) Nhanh vcc
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So sanh :2009^2009+1/2009^2010+1 va 2009^2010-2/2009^2011-2
So sánh A và B biết : A=2009*2009+2008/2009*2009+2009 va B=2009*2009+2009/2009*2009+2010
so sanh
A=2008/2009+2009/2010+2010+2011
B=2008+2009+2010/2009+2010+2011
Dễ thấy:
\(\frac{2008}{2009}>\frac{2008}{2009+2010+2011}\)
\(\frac{2009}{2010}>\frac{2009}{2009+2010+2011}\)
\(\frac{2010}{2011}>\frac{2010}{2009+2010+2011}\)
=>\(\frac{2008}{2009}+\frac{2009}{2010}+\frac{2010}{2011}>\frac{2008}{2009+2010+2011}+\frac{2009}{2009+2010+2011}+\frac{2010}{2009+2010+2011}\)
Hay \(\frac{2008}{2009}+\frac{2009}{2010}+\frac{2010}{2011}>\frac{2008+2009+2010}{2009+2010+2011}\)
Vậy A > B
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so sanh a va b biet
a=[(20092009+1)]:[(20092010+1)]
b=[(20092008+1)]:[(20092009+1)]
\(2009A=\frac{2009^{2010}+2009}{2009^{2010}+1}=\)\(\frac{2009^{2010}+1+2008}{2009^{2010}+1}=1+\frac{2008}{2009^{2010}+1}\)
\(2009B=\frac{2009^{2009}+2009}{2009^{2009}+1}=\frac{2009^{2009}+1+2008}{2009^{2009}+1}\)\(=1+\frac{2008}{2009^{2009}+1}\)
Vì \(1+\frac{2008}{2009^{2010}+1}< 1+\frac{2008}{2009^{2009}+1}\) \(\Leftrightarrow A< B\)
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\(A=\frac{2009^{2009}+1}{2009^{2010}+1}\Rightarrow2009A=\frac{2009^{2010}+2009}{2009^{2010}+1}\)
\(2009A=\frac{2009^{2010}+1}{2009^{2010}+1}+\frac{2008}{2009^{2010}+1}\)
\(2009A=1+\frac{2008}{2009^{2010}+1}\)
..... sory bn mk hơi luwoif chút nên bn tự lm tương tự vs phần B và so sánh nhé!^^
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Xem thêm câu trả lời
so sanh cac phan so sau (10^2008)+1-(10^2009)+1 va (10^2009)+1/(10^2010)+1
10^2008+1/10^2009+1<10^2009+1/10^2010+1
Tớ chỉ biết đáp án thôi
k cho mk nha
Thanks
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2008/2009+2009/2010+2010+2011+2011/2008
va 4
so sanh
\(\frac{2008}{2009}+\frac{2009}{2010}+\frac{2010}{2011}+\frac{2011}{2008}=1-\frac{1}{2009}+1-\frac{1}{2010}+1-\frac{1}{2011}+1+\frac{3}{2008}\)
\(=4+\left(\frac{1}{2008}-\frac{1}{2009}\right)+\left(\frac{1}{2008}-\frac{1}{2010}\right)+\left(\frac{1}{2008}-\frac{1}{2011}\right)>4\)
So sanh : 2008/2009 va 2009/2010
Giup mk voiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
2008/2009<2009/2010
Ht học tốt
Tíc cho mk nhé cảm ơn
so sanh: A=2009^2009+1/2009^2010+1 và B=2009^2010-2/2009^2011-2