Câu hỏi 107
Xác định mọi nghiệm thực dương của hệ phương trình sau:
$$
\begin{aligned}
& a=\max \left\{\frac{1}{b}, \frac{1}{c}\right\} \\
& b=\max \left\{\frac{1}{c}, \frac{1}{d}\right\} \\
& c=\max \left\{\frac{1}{d}, \frac{1}{e}\right\} \\
& d=\max \left\{\frac{1}{e}, \frac{1}{f}\right\} \\
& e=\max \left\{\frac{1}{f}, \frac{1}{a}\right\} \\
& f=\max \left\{\frac{1}{a}, \frac{1}{b}\right\}
\end{aligned}
$$
$$
\begin{aligned}
& a=\max \left\{\frac{1}{b}, \frac{1}{c}\right\} \\
& b=\max \left\{\frac{1}{c}, \frac{1}{d}\right\} \\
& c=\max \left\{\frac{1}{d}, \frac{1}{e}\right\} \\
& d=\max \left\{\frac{1}{e}, \frac{1}{f}\right\} \\
& e=\max \left\{\frac{1}{f}, \frac{1}{a}\right\} \\
& f=\max \left\{\frac{1}{a}, \frac{1}{b}\right\}
\end{aligned}
$$