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\(A=\frac{2012.2010+2013}{2011.2011+2012}\)
\(\Rightarrow A=\frac{\left(2011+1\right).\left(2011-1\right)+2013}{2011.2011+2012}\)
\(\Rightarrow A=\frac{2011\left(2011+1\right)-2011-1+2013}{2011.2011+2012}\)
\(\Rightarrow A=\frac{2011^2+2011-2011-1+2013}{2011^2+2012}\)
\(\Rightarrow A=\frac{2011^2-1+2013}{2011^2+2012}\)
\(\Rightarrow A=\frac{2011^2+2012}{2011^2+2012}=1\)
Vậy A = 1
\(\dfrac{2011}{2010}< \dfrac{2011+1}{2010+1}=\dfrac{2012}{2011}\)
\(\Rightarrow\dfrac{2011}{2010}< \dfrac{2012}{2011}\)
\(\dfrac{2012}{2011}và\dfrac{2011}{2010}\\ \dfrac{2012}{2011}-1=\dfrac{1}{2011}\\ \dfrac{2011}{2010}-1=\dfrac{1}{2010}\\ \)
Vì \(\dfrac{1}{2011}< \dfrac{1}{2010}\\ \Rightarrow\dfrac{2012}{2011}< \dfrac{2011}{2010}\)
\(\dfrac{2010}{2011}\) và \(\dfrac{2011}{2012}\)
Ta có:
\(1-\dfrac{2010}{2011}=\dfrac{1}{2011}\)
\(1-\dfrac{2011}{2012}=\dfrac{1}{2012}\)
Vì \(\dfrac{1}{2011}>\dfrac{1}{2012}\) nên \(\dfrac{2010}{2011}< \dfrac{2011}{2012}\)
A=2010/2009+2011/2010+2012/2011+2009/2012=4,00000148
vay A lon hon 4
A>4
a bang 2010/2009cong2012/2011cong2009/2012 bang4,00000148 vay A LON HON 4
1.
tong cua hai so la;
425x2=850
vi ab la so co hai chu so nen => 7ab hon ab la 700 don vi
so 7ab la:
(850+700):2=775
=> ab=75
2.
ta co
2010/2011=1-1/2011
2011/2012=1-1/2012
2012/2013=1-1/2013
2013/2014=1-1/2014
vi so bi tru deu la 1 nen ta co:
1/2011>1/2012>1/2013>1/2014
vay 2010/2011<2011/2012<2012/2013<2013/2014
thảo nhi làm đúng rồi