cho mn hỏi câu tính nhanh này với nhé
\(\left(\frac{2011}{2012}+\frac{2012}{2013}+\frac{2013}{2014}\right)x\left(1+1x2+1x2x3-9\right)\)
giúp mn nhé mn sắp phải nộp zùi
Những câu hỏi liên quan
Bài 1: Tính nhanh
\(\left(1-\frac{1}{7}\right)\times\left(1-\frac{1}{8}\right)\times\left(1-\frac{1}{9}\right)\times...\times\left(1-\frac{1}{2011}\right)\)
Bài 2:
So sánh\(\frac{2011}{2012}+\frac{2012}{2013}+\frac{2013}{2011}\)với 3
\(\left(1-\frac{1}{7}\right).\left(1-\frac{1}{8}\right).\left(1-\frac{1}{9}\right)......\left(1-\frac{1}{2011}\right)\)
\(=\frac{6}{7}.\frac{7}{8}.\frac{8}{9}.....\frac{2010}{2011}\)
\(=\frac{6.7.8.9.....2010}{7.8.9.10.....2011}\)
\(=\frac{6}{2011}\)
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Cho biểu thức A, tính giá trị của A tại \(x=2012^{2013}\)
\(A=\frac{\left(x+2012\right)^2+2\left(x+2013\right)\left(x-2013\right)+\left(x-2012\right)^2}{\left(x^2-2012\right)+\left(x^2-2013\right)}\)
Giúp mình liền nhé, đúng thì mình tick cho ^_^
giải pt
\(0,05\left(\frac{2x-2}{2011}+\frac{2x}{2012}+\frac{2x+2}{2013}\right)=3,3-\left(\frac{x-1}{2011}+\frac{x}{2012}+\frac{x+1}{2013}\right)\)
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...
Đọc tiếp
Không tính cụ thể , hãy sắp xếp các biểu thức sau theo thứ tự giảm dần :
\(\frac{\frac{2010}{2011}}{\frac{2012}{2013}}+\frac{\frac{2011}{2012}}{\frac{2013}{2014}}+\frac{\frac{2012}{2013}}{\frac{2014}{2015}}\)
\(\frac{\frac{2010}{2011}+\frac{2011}{2012}+\frac{2012}{2013}}{\frac{2012}{2013}+\frac{2013}{2014}+\frac{2014}{2015}}\)
\(\frac{\frac{2010+2011+2012}{2011+2012+2013}}{\frac{2012+2013+2014}{2013+2014+2015}}\)
\(\frac{\frac{2010}{2011}+\frac{2011}{2012}+\frac{2012}{2013}}{\frac{2012+2013+2014}{2013+2014+2015}}\)
\(\frac{\frac{2010+2011+2012}{2011+2012+2013}}{\frac{2012}{2013}+\frac{2013}{2014}+\frac{2014}{2015}}\)
$\frac{\frac{2010}{2011}}{\frac{2012}{2013}}+\frac{\frac{2011}{2012}}{\frac{2013}{2014}}+\frac{\frac{2012}{2013}}{\frac{2014}{2015}}$
$\frac{\frac{2010}{2011}}{\frac{2012}{2013}}+\frac{\frac{2011}{2012}}{\frac{2013}{2014}}+\frac{\frac{2012}{2013}}{\frac{2014}{2015}}$
$\frac{\frac{2010+2011+2012}{2011+2012+2013}}{\frac{2012+2013+2014}{2013+2014+2015}}$
$\frac{\frac{2010}{2011}+\frac{2011}{2012}+\frac{2012}{2013}}{\frac{2012+2013+2014}{2013+2014+2015}}$
$\frac{\frac{2010+2011+2012}{2011+2012+2013}}{\frac{2012}{2013}+\frac{2013}{2014}+\frac{2014}{2015}}$
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Xem thêm câu trả lời
Tìm số nguyên x bé nhất thỏa mãn:\(\left(\frac{2011}{2012}+\frac{2012}{2013}+\frac{2013}{2011}\right)\left(x-2013\right)>3x-6039\)
Gấp nha, 1 sp cho người trả lời đúng và nhanh nhất nha!
Lời giải:
Ta có:
\(\left(\frac{2011}{2012}+\frac{2012}{2013}+\frac{2013}{2011}\right)(x-2013)>3x-6039\)
\(\Leftrightarrow \left(\frac{2011}{2012}+\frac{2012}{2013}+\frac{2013}{2011}\right)(x-2013)-(3x-6039)>0\)
\(\Leftrightarrow \left(\frac{2011}{2012}+\frac{2012}{2013}+\frac{2013}{2011}\right)(x-2013)-3(x-2013)>0\)
\(\Leftrightarrow (x-2013)\left(\frac{2011}{2012}+\frac{2012}{2013}+\frac{2013}{2011}-3\right)>0\)
Ta thấy:
\(\frac{2011}{2012}+\frac{2012}{2013}+\frac{2013}{2011}-3=1-\frac{1}{2012}+1-\frac{1}{2013}+1+\frac{2}{2011}-3\)
\(=\frac{1}{2011}-\frac{1}{2012}+\frac{1}{2011}-\frac{1}{2013}>0\)
Do đó, để \( (x-2013)\left(\frac{2011}{2012}+\frac{2012}{2013}+\frac{2013}{2011}-3\right)>0\) thì \(x-2013>0\)
\(\Leftrightarrow x>2013\). Vì $x$ là số nguyên bé nhất nên $x=2014$
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Bài 1: Tính nhanh
\(\left(1-\frac{1}{7}\right)\times\left(1-\frac{1}{8}\right)\times\left(1-\frac{1}{9}\right)\times...\times\left(1-\frac{1}{2011}\right)\)
Bài 2:
So sánh \(\frac{2011}{2012}+\frac{2012}{20013}+\frac{2013}{2011}\)với 3
frac{frac{1}{2}+frac{1}{3}+......+frac{1}{2013}}{frac{2012}{1}+frac{2012}{2}+frac{2011}{3}+...+frac{1}{2013}}frac{frac{1}{2}+frac{1}{3}+..+frac{1}{2013}}{frac{2012}{1}+2+frac{2012}{2}+1+frac{2011}{3}+1+...+frac{1}{2013}+1-2014}frac{frac{1}{2}+frac{1}{3}+...+frac{1}{2013}}{frac{2014}{1}+frac{2014}{2}+...+frac{2014}{2013}-2014}frac{frac{1}{2}+frac{1}{3}+...+frac{1}{2013}}{2014left(1+frac{1}{2}+frac{1}{3}+...+frac{1}{2013}-1right)}frac{1}{2014}
Đọc tiếp
\(\frac{\frac{1}{2}+\frac{1}{3}+......+\frac{1}{2013}}{\frac{2012}{1}+\frac{2012}{2}+\frac{2011}{3}+...+\frac{1}{2013}}\)
=\(\frac{\frac{1}{2}+\frac{1}{3}+..+\frac{1}{2013}}{\frac{2012}{1}+2+\frac{2012}{2}+1+\frac{2011}{3}+1+...+\frac{1}{2013}+1-2014}\)
=\(\frac{\frac{1}{2}+\frac{1}{3}+...+\frac{1}{2013}}{\frac{2014}{1}+\frac{2014}{2}+...+\frac{2014}{2013}-2014}\)
=\(\frac{\frac{1}{2}+\frac{1}{3}+...+\frac{1}{2013}}{2014\left(1+\frac{1}{2}+\frac{1}{3}+...+\frac{1}{2013}-1\right)}\)
=\(\frac{1}{2014}\)
Tìm số nguyên \(x\)nhỏ nhất thỏa mãn:
\(\left(\frac{2011}{2012}+\frac{2012}{2013}+\frac{2013}{2011}\right).\left(x-2013\right)>3x-6039\)
k=\(\frac{1+\left(1+2\right)+\left(1+2+3\right)+...+\left(1+2+3+...+2013\right)}{2013\cdot1+2012\cdot2+2011\cdot3+...+2\cdot2012+1\cdot2013}\)
K+2003=?
(Các bạn hãy giúp mình trả lời giúp mình bài này mau nhé, bạn nào đúng mình sẽ tick cho)