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id của mik 88461550
còn câu hỏi thì mik ko bt nhé mik mới lớp4
nick là ri nhé
Ta thấy mẫu số ở PS A = mẫu số PS B nên ta xét ở tử số của 2 số.
2020+201<2020+2019 nên PS B lớn hơn
Mik ko chơi mini world nha k mik vs
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A = 2019 \(\times\) 2021 + 2023
A = (2018 + 1).(2022 -1) + 2023
A = 2018.2022 - 2018 + 2023 > 2018.2022 - 2022
Vậy A > B
Cách 1: Nhìn qua là biết A > B :))
Cách 2: Giải cụ thể:
A = 2019 x 2021 + 2023
= 2018 x 2021 + 2021 + 2023 = 2018 x 2021 + 4044
B = 2018 x 2022 - 2022
= 2018 x 2021 + 2018 - 2022 = 2018 x 2021 - 4
⇒ A > B và lớn hơn: 4044 + 4 = 4048
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\(\dfrac{2021}{2019}và\dfrac{2023}{2021}\)
\(\Rightarrow\dfrac{2021}{2019}-\dfrac{2}{2019}=\dfrac{2023}{2021}-\dfrac{2}{2021}\left(=1\right)\)
\(\Rightarrow\dfrac{2}{2019}>\dfrac{2}{2021}\Rightarrow\dfrac{2021}{2019}< \dfrac{2023}{2021}\)
Chứng minh bđt phụ nếu a>b \(\Rightarrow\dfrac{a}{b}>\dfrac{a+m}{b+m}\left(vớim\in N^{\circledast}\right)\Rightarrow a\left(b+m\right)>b\left(a+m\right)\Rightarrow ab+am>ab+bm\Rightarrow am>bm\Rightarrow a>b\) \(\Rightarrow\dfrac{a}{b}>\dfrac{a+m}{b+m}\left(1\right)\)
Áp dụng bđt (1) có :
\(2021>2019\Rightarrow\dfrac{2021}{2019}>\dfrac{2021+2}{2019+2}=\dfrac{2023}{2021}\)
2019 . x + 1/2021 . x + 1/2023 . x - 1/2023 = 2019 + 1/2021
mọi người ơi trả lời nhanh giùm mình nhé
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a: \(B=\dfrac{154}{155+156}+\dfrac{155}{155+156}\)
\(\dfrac{154}{155}>\dfrac{154}{155+156}\)
\(\dfrac{155}{156}>\dfrac{155}{155+156}\)
=>154/155+155/156>(154+155)/(155+156)
=>A>B
b: \(C=\dfrac{2021+2022+2023}{2022+2023+2024}=\dfrac{2021}{6069}+\dfrac{2022}{6069}+\dfrac{2023}{6069}\)
2021/2022>2021/6069
2022/2023>2022/2069
2023/2024>2023/6069
=>D>C
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a) Ta có A = \(\frac{2^{2018}+1}{2^{2019}+1}\)
=> 2A = \(\frac{2^{2019}+2}{2^{2019}+1}=1+\frac{1}{2^{2019}+1}\)
Lại có B = \(\frac{2^{2017}+1}{2^{2018}+1}\)
=> 2B = \(\frac{2^{2018}+2}{2^{2018}+1}=\frac{2^{2018}+1+1}{2^{2018}+1}=1+\frac{1}{2^{2018}+1}\)
Vì \(\frac{1}{2^{2018}+1}>\frac{1}{2^{2019}+1}\Rightarrow1+\frac{1}{2^{2018}+1}>1+\frac{1}{2^{2019}+1}\Rightarrow2B>2A\Rightarrow B>A\)
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Lời giải:
$\frac{2021}{2023}=1-\frac{2}{2023}< 1-\frac{2}{4000}=1-\frac{1}{2000}< 1-\frac{1}{2018}=\frac{2017}{2018}$
Ta có
A = 2017/2019 =1 - 2/2019
B = 2021/2023 = 1 - 2/2013
MÀ 2/2019 < 2/2013 => 1 - 2/2019 > 1 - 2/2013 hay A > B
Vậy A > B
Easy mà bạn :
Ta có :
\(A=\frac{2017}{2019}=1-\frac{2}{2019}\)
\(B=\frac{2021}{2023}=1-\frac{2}{2023}\)
Do \(\frac{2}{2019}>\frac{2}{2023}\)
\(\Rightarrow1-\frac{2}{2019}< 1-\frac{2}{2023}\)
\(\Rightarrow A< B\)
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