2012×2013+2011
2014×2013-2015
Không tính cụ thể , hãy sắp xếp các biểu thức sau theo thứ tự giảm dần :
\(\frac{\frac{2010}{2011}}{\frac{2012}{2013}}+\frac{\frac{2011}{2012}}{\frac{2013}{2014}}+\frac{\frac{2012}{2013}}{\frac{2014}{2015}}\)
\(\frac{\frac{2010}{2011}+\frac{2011}{2012}+\frac{2012}{2013}}{\frac{2012}{2013}+\frac{2013}{2014}+\frac{2014}{2015}}\)
\(\frac{\frac{2010+2011+2012}{2011+2012+2013}}{\frac{2012+2013+2014}{2013+2014+2015}}\)
\(\frac{\frac{2010}{2011}+\frac{2011}{2012}+\frac{2012}{2013}}{\frac{2012+2013+2014}{2013+2014+2015}}\)
\(\frac{\frac{2010+2011+2012}{2011+2012+2013}}{\frac{2012}{2013}+\frac{2013}{2014}+\frac{2014}{2015}}\)
$\frac{\frac{2010}{2011}}{\frac{2012}{2013}}+\frac{\frac{2011}{2012}}{\frac{2013}{2014}}+\frac{\frac{2012}{2013}}{\frac{2014}{2015}}$
$\frac{\frac{2010}{2011}}{\frac{2012}{2013}}+\frac{\frac{2011}{2012}}{\frac{2013}{2014}}+\frac{\frac{2012}{2013}}{\frac{2014}{2015}}$
$\frac{\frac{2010+2011+2012}{2011+2012+2013}}{\frac{2012+2013+2014}{2013+2014+2015}}$
$\frac{\frac{2010}{2011}+\frac{2011}{2012}+\frac{2012}{2013}}{\frac{2012+2013+2014}{2013+2014+2015}}$
$\frac{\frac{2010+2011+2012}{2011+2012+2013}}{\frac{2012}{2013}+\frac{2013}{2014}+\frac{2014}{2015}}$
dễ ợt nhưng éo biết làm thông cảm nha
ban Dang Ha Trang an noi gi ki vay
(1/2012+1/2013-1/2014)/(5/2012+5/2013-5/2014)-(2/2103+2/2014-2/2015)/(3/2013+3/2014-3/2015)
\(\frac{\frac{1}{2012}+\frac{1}{2013}-\frac{1}{2014}}{\frac{5}{2012}+\frac{5}{2013}-\frac{5}{2014}}-\frac{\frac{2}{2013}+\frac{2}{2014}-\frac{2}{2015}}{\frac{3}{2013}+\frac{3}{2014}-\frac{3}{2015}}\)
=\(\frac{\frac{1}{2012}+\frac{1}{2013}-\frac{1}{2014}}{5\left(\frac{1}{2012}+\frac{1}{2013}-\frac{1}{2014}\right)}-\frac{2\left(\frac{1}{2013}+\frac{1}{2014}-\frac{1}{2015}\right)}{3\left(\frac{1}{2013}+\frac{1}{2014}-\frac{1}{2015}\right)}=\frac{1}{5}-\frac{2}{3}=\frac{3}{15}-\frac{10}{15}=-\frac{7}{15}\)
cho B = 2012/2013 + 2013/2014 + 2015/2012 . hãy so sánh B với 3
\(B=\frac{2013-1}{2013}+\frac{2014-1}{2014}+\frac{2012+3}{2012}\)
\(B=1-\frac{1}{2013}+1-\frac{1}{2014}+1+\frac{3}{2012}=3+\frac{3}{2012}-\left(\frac{1}{2013}+\frac{1}{2014}\right)\)
Ta có
\(\frac{1}{2013}< \frac{1}{2012};\frac{1}{2014}< \frac{1}{2012}\Rightarrow\frac{1}{2013}+\frac{1}{2014}< \frac{2}{2012}\)
Mà \(\frac{3}{2012}-\frac{2}{2012}=\frac{1}{2012}>0\Rightarrow\frac{3}{2012}-\left(\frac{1}{2013}+\frac{1}{2014}\right)>0\)
=> B>3
cho B = 2012/2013 + 2013/2014 + 2015/2012 . hãy so sánh B với 3
\(B=\frac{2012}{2013}+\frac{2013}{2014}+\frac{2015}{2012}\)
\(B=\frac{2012}{2013}+\frac{2013}{2014}+\left(\frac{1}{2012}+\frac{1}{2012}+\frac{2013}{2012}\right)\)
\(B=\left(\frac{2012}{2013}+\frac{1}{2012}\right)+\left(\frac{2013}{2014}+\frac{1}{2012}\right)+\frac{2013}{2012}\)
\(3=1+1+1\)
\(\frac{2012}{2013}+\frac{1}{2012}>1\)
\(\frac{2013}{2014}+\frac{1}{2012}>1\)
\(\frac{2013}{2012}>1\)
vậy B > 3
Ai giúp mình câu này với
(1+1/2+1/3+...+1/2012+1/2013) .x +2013 = 2014+2015/2+...+4025/2012+4026/2013
Tính hợp lý (2011/2012+2012/2013+2013/2014+2014/2015)×(1/5-2/3:10/3)
So sánh:\(\frac{2010}{2011}+\frac{2011}{2012}+\frac{2012}{2013}+\frac{2013}{2014}\)và\(\frac{2010}{2008}+\frac{2011}{2013}+\frac{2012}{2014}+\frac{2013}{2015}\)
giải giúp mình nhé. A=2012×2014+2015/2014+2013×2013
Tìm x: (1+1/2+1/3+...+1/2013).x+2013=2014/1+2015/2+...+4025/2012+4026/2013