Giải:

A=10²⁰⁰⁴+1/10²⁰⁰⁵+1

10A=10²⁰⁰⁵+10/10²⁰⁰⁵+1

10A=10²⁰⁰⁵+1+9/10²⁰⁰⁵+1

10A=1+9/10²⁰⁰⁵+1

Tương tự:

B=10²⁰⁰⁵+1/10²⁰⁰⁶+1

10B=1+9/10²⁰⁰⁶+1

Vì 9/10²⁰⁰⁵+1>9/10²⁰⁰⁶+1 nên 10A>10B

⇒A>B

Chúc bạn học tốt!

\(10A=10.\dfrac{10^{2004}+1}{10^{2005}+1}=\dfrac{10^{2005}+10}{10^{2005}+1}=1+\dfrac{9}{10^{2005}+1}\\ 10B=10.\dfrac{10^{2005}+1}{10^{2006}+1}=\dfrac{10^{2006}+10}{10^{2006}+1}=1+\dfrac{9}{10^{2006}+1}\)

vì \(\dfrac{9}{10^{2005}+1}>\dfrac{9}{10^{2006}+1}\Rightarrow10A>10B\Rightarrow A>B\)

Đề bài đâu bn?

Ta có: \(10\cdot A=\dfrac{10^{2005}+10}{10^{2005}+1}=1+\dfrac{9}{10^{2005}+1}\)

\(10B=\dfrac{10^{2006}+10}{10^{2006}+1}=1+\dfrac{9}{10^{2006}+1}\)

mà \(\dfrac{9}{10^{2005}+1}>\dfrac{9}{10^{2006}+1}\)

nên 10A>10B

hay A>B

\(\frac{a}{b}=\frac{ab+a}{b^2+b};\frac{a+1}{b+1}=\frac{ab+b}{b^2+b}\)

\(+,a>b\Rightarrow ab+a>ab+b\Rightarrow\frac{a}{b}>\frac{a+1}{b+1}\left(vì:b>0\right)\)

\(+,a=b\Rightarrow\frac{a}{b}=\frac{a+1}{b+1}=1\)

\(+,a< b\Rightarrow ab+a< ab+b\Rightarrow\frac{a}{b}< \frac{a+1}{b+1}\left(vì:b>0\right)\)

\(Vậy:voi:a>b\text{ thì }\frac{a}{b}>\frac{a+1}{b+1};voi:a=b\text{ thì: }\frac{a}{b}=\frac{a+1}{b+1}=1;voi:a< b\text{ thì:}\frac{a}{b}< \frac{a+1}{b+1}\)

mình không biết mà có biết cũng không có hứng trả lời

ai nhanh nhat minh k cho dung thi cung k[lam loi giai ra nha]

Nho cac ban giai nhanh gium minh