<html><head><meta name="color-scheme" content="light dark"></head><body><pre style="word-wrap: break-word; white-space: pre-wrap;">\documentclass[11pt,
  % twoside,
  logo = {example-image},
  % logo height = 1cm,  % logo width = 2cm,
  title in boldface,
  % title in sffamily,
  theorem in new line,
  % remove qed,
  colored solution,
]{homework}

%% For highlighting the code in this document
\usepackage{newverbs}
\newverbcommand{\cverb}{\color{red!50!orange}}{}

%% Below is the main document


\UseLanguage{Traditional Chinese}


\title{å­¸ç§‘åç¨±ï¼Œç¬¬ä¸€å‘¨}
\author{ä½œè€…}
% \date{\todayï¼Œåœ°é»ž}
% \date{\today[only-year-month]ï¼Œåœ°é»ž}
\date{\TheDate{2024-01-01}ï¼Œåœ°é»ž}


\begin{document}


\textcolor{gray!55}{ï¼ˆå¦‚æžœä½&nbsp;æ‰“ç®—ç›´æŽ¥å¯«å‡ºè§£ç­”â€¦ï¼‰}

\begin{problem}
    é€™è£¡æ˜¯è§£ç­”/è­‰æ˜Žã€‚
\end{problem}


\bigskip\textcolor{gray!55}{ï¼ˆå¦‚æžœä½&nbsp;æ‰“ç®—å…ˆé™³è¿°å•é¡Œå¾Œå†å¯«å‡ºè§£ç­”â€¦ï¼‰}

\begin{problem}[å•é¡Œç°¡ä»‹]
    ä½&nbsp;å¯ä»¥æŠŠå•é¡Œé™³è¿°åœ¨é€™è£¡â€¦
\end{problem}

\begin{solution}
    â€¦ç„¶å¾ŒæŠŠè§£ç­”å¯«åœ¨é€™è£¡â€¦
\end{solution}

\bigskip\textcolor{gray!55}{ï¼ˆå¦‚æžœæ¯”èµ·\textquote{è§£}ï¼Œä½&nbsp;æ›´å¸Œæœ›å¯«\textquote{è­‰æ˜Ž}â€¦ï¼‰}

\begin{solution}[è­‰æ˜Ž]
    â€¦æˆ–è€…å¯«ä¸€å€‹é€™æ¨£çš„è­‰æ˜Žâ€¦
    \begin{lemma}[ä½&nbsp;å¯ä»¥åœ¨é€™è£¡å¯«ä¸€äº›è¨»é‡‹]\label{lem}
        ä¸€äº›è¼”åŠ©çµæžœã€‚
    \end{lemma}
    \begin{proof}
        é€™æ˜¯\cref{lem}çš„è­‰æ˜Žï¼Œå…¶ä¸­ç”¨åˆ°ä¸‹é¢çš„å…¬å¼ï¼ˆæ³¨æ„ä½¿ç”¨ \cverb|\qedhere|ï¼‰ï¼š
        \[
            \infty = \infty + 1
            \makebox[0pt][l]{\,ã€‚} % å¥å°¾çš„å¥è™Ÿ
            \qedhere               % ç”¨ä¾†æŠŠ Q.E.D. ç¬¦è™Ÿæ”¾åœ¨æ­£ç¢ºçš„ä½ç½®
        \]
    \end{proof}
    \begin{fact}[é€™å€‹çµè«–ç„¡é&nbsp;ˆè­‰æ˜Ž]
        \proofless
        ä½¿ç”¨ \cverb|\proofless| å¯ä»¥å°‡æ¨™è¨˜å®šç†çµæŸçš„ç©ºå¿ƒæ–¹æ¡†è®Šæˆå¯¦å¿ƒæ–¹æ¡†ã€‚
    \end{fact}
    â€¦å‰©é¤˜çš„æ­¥é©Ÿâ€¦
\end{solution}

\bigskip\textcolor{gray!55}{ï¼ˆå¯«\textquote{ç­”}ä¹Ÿæ˜¯å¯ä»¥çš„â€¦ï¼‰}

\begin{answer}
    \verb|answer| ç’°å¢ƒçš„ç”¨æ³•å’Œ \verb|solution| æ˜¯å®Œå…¨ç›¸åŒçš„ã€‚
\end{answer}


\enlargethispage*{\baselineskip}


\bigskip\textcolor{gray!55}{ï¼ˆæˆ–è€…å¦‚æžœä½&nbsp;æ›´å–œæ­¡å‚³çµ±çš„è­‰æ˜Žæ¨£å¼â€¦ï¼‰}

\begin{proof}
    \verb|proof| ç’°å¢ƒä»å¯ä½¿ç”¨ã€‚
\end{proof}


\bigskip\textcolor{gray!55}{ï¼ˆå¦‚æžœä½&nbsp;æƒ³ç‚ºä¸€å€‹å¤§å•é¡Œä¸­çš„æ¯å€‹å°å•é¡Œåˆ†åˆ¥æ’°å¯«è§£ç­”â€¦ï¼‰}

\begin{problem}[ä¸€å€‹ç”±è¨±å¤šå°å•é¡Œæ§‹æˆçš„å¤§å•é¡Œ]
    \begin{enumerate}
        \item ç¬¬ä¸€å€‹å•é¡Œã€‚

        \begin{solution}
            ç¬¬ä¸€å€‹å•é¡Œçš„è§£ç­”ã€‚
        \end{solution}

        \item ç¬¬äºŒå€‹å•é¡Œã€‚

        \begin{enumerate}
            \item ç¬¬ä¸€å€‹å°å•ã€‚

            \begin{solution}
                ç¬¬ä¸€å€‹å°å•çš„è§£ç­”ã€‚
            \end{solution}

            \item ç¬¬äºŒå€‹å°å•ã€‚

            \begin{solution}
                ç¬¬äºŒå€‹å°å•çš„è§£ç­”ã€‚
            \end{solution}

        \end{enumerate}

        \item ç¬¬ä¸‰å€‹å•é¡Œã€‚

        \begin{solution}
            ç¬¬ä¸‰å€‹å•é¡Œçš„è§£ç­”ã€‚
        \end{solution}

    \end{enumerate}
    åœ¨æœ«å°¾ä½¿ç”¨ \cverb|\noqed|ï¼ˆæˆ– \cverb|\noQED|ï¼‰å¯ä»¥å–æ¶ˆç”¨æ–¼æ¨™è¨˜ç•¶å‰å•é¡ŒçµæŸçš„æ–¹æ¡†ã€‚
    \noQED
\end{problem}


\bigskip\textcolor{gray!55}{ï¼ˆå¦‚æžœä½&nbsp;å¸Œæœ›æ‰‹å‹•ç·¨è™Ÿä¸€å€‹ç¿’é¡Œâ€¦ï¼‰}

\ManualNumbering{exercise}{A.1.1}
\begin{exercise}[ä¸€å€‹æ‰‹å‹•ç·¨è™Ÿçš„ç¿’é¡Œ]
    ä½¿ç”¨ \cverb|\ManualNumbering| ä»¥æ‰‹å‹•å°æŸå€‹ç¿’é¡Œé€²è¡Œç·¨è™Ÿã€‚ é€™å€‹ç·¨è™Ÿåªæœƒå½±éŸ¿ä¸‹ä¸€å€‹è¢«æŒ‡å®šçš„ç’°å¢ƒã€‚
\end{exercise}

\begin{exercise}
    ä¹‹å¾Œç·¨è™Ÿä¾¿æœƒæ¢å¾©æ­£å¸¸ã€‚
\end{exercise}


\bigskip\textcolor{gray!55}{ï¼ˆå¦‚æžœä½&nbsp;æœ‰æš«æ™‚è§£æ±ºä¸å‡ºä¾†çš„å•é¡Œâ€¦ï¼‰}

\DNF&lt;ä¸€äº›æè¿°&gt;


\end{document}
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