2012+2013X2014/2014 x 2015 -2016
2012 + 2013 x 2014 / 2014 x 2015 -2016
2012 + 2013 x 2014 / 2014 x 2015 -2016 = 1
mình trả lời đầu tiên nha
bn giải tri tiết giùm mình được không
2013 x 2014 +2012 / 2015 x2015 -2016=4054182+2012 / 4058210 - 2016= 4056194/4056194=1
x-2016/2016+x-2016/2015+x-2016/2014+x-2016/2013+x-2016/2012
2012 +2013 X 2014 / 2014 X 2015-2016
\(\frac{2012+2013.2014}{2014.2015-2016}\)= \(\frac{2012+2013.2014}{2014.\left(2013+2\right)-2016}\) = \(\frac{2012+2013.2014}{2014.2013+2.2014-2016}\)= \(\frac{2012+2013.2014}{2014.2013+4028-2016}\)= \(\frac{2012+2013.2014}{2014.2013+2012}\)= \(1\)
2012 +2013 X 2014/2014X2015-2016=???????????//?????/
tìm giá trị của biểu thức sau bằng cách hợp lí:
C= \(\dfrac{2014\left(2015^2+2016\right)-2016\left(2015^2-2014\right)}{2014\left(2013^2-2012\right)-2012\left(2013^2+2014\right)}\)
\(C=\dfrac{2014\left(2015^2+2016\right)-2016\left(2015^2-2014\right)}{2014\left(2013^2-2012\right)-2012\left(2013^2+2014\right)}\)
\(=\dfrac{2.2014.2016+2014.2015^2-2016.2015^2}{2014.2013^2-2012.2013^2-2.2012.2014}\)
\(=\dfrac{2.\left(2015+1\right)\left(2015-1\right)-2.2015^2}{2.2013^2-2.\left(2013+1\right)\left(2013-1\right)}\)
\(=\dfrac{2.\left(2015^2-1\right)-2.2015^2}{2.2013^2-2.\left(2013^2-1\right)}=\dfrac{-2}{2}=-1\)
Tính : 2012 + 2013 x 2014 / 2014 x 2015 - 2016 . Ai xong trc mik tik
2012 + 2013 x 2014
2014 x 2015 - 2016
\(\frac{2012+2013.2014}{2014.2015-2016}\)
\(\frac{2012+2013.2014}{2014.\left(2013+2\right)-2016}\)
\(\frac{2012+2013.2014}{2014.2013+2014.2-2016}\)
\(\frac{2012}{2012}\)
\(1\)
2012+2013x2014/2014x2015-2016
=2012+4054182/4058210-2016
=4056194:4056194
=1
Tính GTNN của B=|x-2016|+|x-2015|+|x-2014|+|x-2013|+|x-2012|+2016
Áp dụng bđt |a|+|b|+|c|+|d| \(\ge\)|a+b+c+d| ta có:
B = |x-2016|+|x-2015|+|x-2014|+|x-2013|+|x-2012|+2016
B = |2016-x|+|2015-x|+|x-2014|+|x-2013|+|x-2012|+2016 \(\ge\) |(2016-x)+(2015-x)+0+(x-2013)+(x-2012)|+2016 = |6|+2016 = 6+2016 = 2022
Dấu "=" xảy ra khi \(\left\{\begin{matrix}x-2015\le0\\x-2014=0\\x-2013\ge0\end{matrix}\right.\) => x = 2014
Ta có: \(\left|x-2016\right|\ge0\forall x\in R\)
\(\left|x-2015\right|\)\(\ge0\forall x\in R\)
.....................
=> |x-2016|+|x-2015|+|x-2014|+|x-2013|+|x-2012| \(\ge0\forall x\in R\)
=> |x-2016|+|x-2015|+|x-2014|+|x-2013|+|x-2012| + 2016 \(\ge0\forall x\in R\)
Dấu "=" xảy ra khi \(\left|x-2016\right|=0\); .....; \(\left|x-2012\right|=0\) Với \(\left|x-2016\right|=0\) => x = \(2016\) Với \(\left|x-2015\right|=0\) => x = 2015 Với \(\left|x-2014\right|=0\) => x = 2014 Với \(\left|x-2013\right|=0\) => x = 2013 Với \(\left|x-2012\right|=0\) => x = 2012 Vậy GTNN của B = 2016 khi x \(\in\) \(\left\{2016;2015;2014;2013;2012\right\}\)Điền dấu thích hợp (2013*2014+2012)/2014*2015-2016) ..... 2014/2015
Tính bằng cách thuận tiện nhất : ( 2014 x 2015 - 2016 ) : (2012 + 2013 x 2014 )
( 2014 x 2015 - 2016 ) : ( 2012 + 2013 x 2014 )
= ( 4058210 - 2016 ) : ( 2012 + 4054182 )
= 4056194 : 4056194
= 1
﴾ 2014 x 2015 ‐ 2016 ﴿ : ﴾ 2012 + 2013 x 2014 ﴿
= ﴾ 4058210 ‐ 2016 ﴿ : ﴾ 2012 + 4054182 ﴿
= 4056194 : 4056194
= 1
( 2014 x 2015 - 2016 ) : (2012 + 2013 x 2014 )
= ( 2014 x ( 2013 + 2 ) - 2016 ) : ( 2012 + 2013 x 2014 )
= ( 2014 x 2013 + 2014 x 2 - 2016 ) : ( 2012 + 2013 x 2014 )
= ( 2014 x 2 - 2016 ) : 2012
= ( 4028 - 2016 ) : 2012
= 2012 : 2012
= 1