2. In two-dimensional space, lines divide a plane into a number of different regions.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{81510c1c-89ce-4fa8-aa1b-3c8b255804cc-3_421_328_306_278}
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\caption{Figure 1}
\end{figure}
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{81510c1c-89ce-4fa8-aa1b-3c8b255804cc-3_423_330_306_671}
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\caption{Figure 2}
\end{figure}
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{81510c1c-89ce-4fa8-aa1b-3c8b255804cc-3_426_330_303_1065}
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\caption{Figure 3}
\end{figure}
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{81510c1c-89ce-4fa8-aa1b-3c8b255804cc-3_423_332_306_1457}
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\caption{Figure 4}
\end{figure}
It is known that:
- One line divides a plane into 2 regions, as shown in Figure 1
- Two lines divide a plane into a maximum of 4 regions, as shown in Figure 2
- Three lines divide a plane into a maximum of 7 regions, as shown in Figure 3
- Four lines divide a plane into a maximum of 11 regions, as shown in Figure 4