![](https://rs.olm.vn/images/avt/0.png?1311)
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
Tính nhanh
1001 * 789 + 456 * 128 + 912 * 436
1001 . 789 + 456 . 128 + 912 .436 = 1245789
k nha
![](https://rs.olm.vn/images/avt/0.png?1311)
\(A=\frac{1001^{1001}}{1002^{1002}}=\frac{1001^{1000}.1001}{1002^{1001}.1002}\)
\(B=\frac{1001^{1001}+101101}{1002^{1002}+101202}=\frac{1001.1001^{1000}+1001.101}{1002.1002^{1001}+1002.101}\)
\(=\frac{1001\left(1001^{1000}+101\right)}{1002\left(1002^{1001}+101\right)}\)
Xét \(\frac{1001^{1000}+101}{1002^{1001}+101}\)\(-\frac{1001^{1000}}{1002^{1001}}\)
\(=\frac{1002^{1001}\left(1001^{1000}+101\right)-1001^{1000}\left(1002^{1001}+101\right)}{\left(1002^{1001}+101\right).1002^{1001}}\)
\(=\frac{1002^{1001}.1001^{1000}+1002^{1001}.101-1001^{1000}.1002^{1001}-1001^{1000}.101}{\left(1002^{1001}+101\right).1002^{1001}}\)
\(=\frac{101\left(1002^{1001}-1001^{1000}\right)}{\left(1002^{1001}+101\right).1002^{1001}}>0\)
=> \(\frac{1001^{1000}+101}{1002^{1001}+101}\)\(>\frac{1001^{1000}}{1002^{1001}}\)
=> \(\frac{1001\left(1001^{1000}+101\right)}{1002\left(1002^{1001}+101\right)}>\frac{1001^{1000}.1001}{1002^{1001}.1002}\)
=> \(B>A\)
![](https://rs.olm.vn/images/avt/0.png?1311)
5=1001−𝑥+1001
5=2002−𝑥
5=−𝑥+2002
5−2002=−𝑥+2002−2002
−1997=−𝑥
𝑥=1997
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{1000x1003}{1001x1002}\),\(\frac{1001x1002}{1003x1001}\),\(\frac{1000x1002}{1003x1001}\)
0.999998006 ,0.999002991 ,0.998004986
vậy \(\frac{1000x1003}{1001x1002}\)là ps lớn nhất
![](https://rs.olm.vn/images/avt/0.png?1311)
1001=abcabc:abc
=>abc*1001=abc.abcabc:abc=abcabc
ab*1001=ab.abcabc:abc=ababc
Ta có:
\(abc.1001=abc\left(1000+1\right)=abc000+abc=abcabc\)
\(ab.1001=ab\left(1000+1\right)=ab000+ab=ab0ab\)