so sanh
A=2015.2016 va B=2016^2
Những câu hỏi liên quan
A= 20162016+2/20162016-2 va B= 20162016/20162016-3. Hay so sanh A va B
so sanh A va B
A=2016 mu 2016+2-1/2016 mu 2016-1
B=2016mu 2016/2016-3
1. So sanh :
a) \(\frac{2015.2016-1}{2016.2015}\) va \(\frac{2016.2017-1}{2016.2017}\)
b) \(\frac{2015.2016}{2015.2016+1}\) va \(\frac{2016.2017}{2016.2017+1}\)
c) \(\frac{33.10^3}{2^3.5.10^3+7000}\) va \(\frac{3774}{5271}\)
a.\(\frac{2015.2016-1}{2015.2016}=1-\frac{1}{2015.2016}\)
\(\frac{2016.2017-1}{2016.2017}=1-\frac{1}{2016.2017}\)
vì \(\frac{1}{2015.2016}>\frac{1}{2016.2017}\)
=>\(-\frac{1}{2015.2016}< -\frac{1}{2016.2017}\)
=>\(1-\frac{1}{2015.2016}< 1-\frac{1}{2016.2017}\)
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so sanh phan so a/b va a+2016/b+2016
so sanh
A = 2016^2 va B = 2017 . 2015
So sanh A va B biet
A=2017^100/1+2017+2017^2+2017^3+.....+2017^100
B=2016^100/1+2016+2016^2+2016^3+.....+2016^100
So sanh A=2016^2016+1/2016^2017+1 va B=2016^2015+1/2016^2015+1
so sanh A va B
A=2017^100 / 1+2017+2017^2+2017^3+...+2017^100
B=2016^100 / 1+2016+2016^2+2016^3+...+2016^100
so sanh
A=2016/2017+2017/2018 va B=2016+2017/2017+2018
So sánh \(A=\dfrac{2016}{2017}+\dfrac{2017}{2018}\) và \(B=\dfrac{2016+2017}{2017+2018}\)
Có 2 cách:
C1 :Rảnh thì bấm máy tính luôn rồi so sánh (nhưng cách này tỉ lệ sai khá cao nếu bất cẩn ghi nhầm số):
\(A=\dfrac{2016}{2017}+\dfrac{2017}{2018}\) \(=1,999008674\approx2\)
\(B=\dfrac{2016+2017}{2017+2018}\) \(=0,9995043371\approx1\)
Do 2 > 1 nên :
\(\Rightarrow A>B\).
C2:
Ta có:
\(\dfrac{2016}{2017}>\dfrac{2016}{2018}\Rightarrow A>\dfrac{2016}{2018}+\dfrac{2017}{2018}\Rightarrow A>\dfrac{2016+2017}{2017}\)
\(B=\dfrac{2016+2017}{2017+2018}=\dfrac{2016+2017}{4035}\)
Vì \(\dfrac{2016+2017}{2018}>\dfrac{2016+2017}{4035}\)
\(\Rightarrow A>B\).
_ Học tốt :))_
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