<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{Chinese}


\title{å­¦ç§‘åç§°ï¼Œç¬¬ä¸€å‘¨}
\author{ä½œè€…}
% \date{\todayï¼Œåœ°ç‚¹}
% \date{\today[only-year-month]ï¼Œåœ°ç‚¹}
\date{\TheDate{2024-01-01}ï¼Œåœ°ç‚¹}


\begin{document}


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

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


\bigskip\textcolor{gray!55}{ï¼ˆå¦‚æžœä½&nbsp;æ‰“ç®—å…ˆé™ˆè¿°é—®é¢˜åŽå†å†™å‡ºè§£ç­”â€¦ï¼‰}

\begin{problem}[é—®é¢˜ç®€ä»‹]
    ä½&nbsp;å¯ä»¥æŠŠé—®é¢˜é™ˆè¿°åœ¨è¿™é‡Œâ€¦
\end{problem}

\begin{solution}
    â€¦ç„¶åŽæŠŠè§£ç­”å†™åœ¨è¿™é‡Œâ€¦
\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¸€ä¸ªè¿™æ&nbsp;·çš„è¯æ˜Žâ€¦
    \begin{lemma}[ä½&nbsp;å¯ä»¥åœ¨è¿™é‡Œå†™ä¸€äº›æ³¨é‡Š]\label{lem}
        ä¸€äº›è¾…åŠ©ç»“æžœã€‚
    \end{lemma}
    \begin{proof}
        è¿™æ˜¯\cref{lem}çš„è¯æ˜Žï¼Œå…¶ä¸­ç”¨åˆ°ä¸‹é¢çš„å…¬å¼ï¼ˆæ³¨æ„ä½¿ç”¨ \cverb|\qedhere|ï¼‰ï¼š
        \[
            \infty = \infty + 1
            \makebox[0pt][l]{\,ã€‚} % å¥å°¾çš„å¥å·
            \qedhere               % ç”¨æ¥æŠŠ Q.E.D. ç¬¦å·æ”¾åœ¨æ­£ç¡®çš„ä½ç½®
        \]
    \end{proof}
    \begin{fact}[è¿™ä¸ªç»“è®ºæ—&nbsp;éœ€è¯æ˜Ž]
        \proofless
        ä½¿ç”¨ \cverb|\proofless| å¯ä»¥å°†æ&nbsp;‡è®°å®šç†ç»“æŸçš„ç©ºå¿ƒæ–¹æ¡†å˜ä¸ºå®žå¿ƒæ–¹æ¡†ã€‚
    \end{fact}
    â€¦å‰©ä½™çš„æ­¥éª¤â€¦â€¦
\end{solution}

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

\begin{answer}
    \verb|answer| çŽ¯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¬¢ä¼&nbsp;ç»Ÿçš„è¯æ˜Žæ&nbsp;·å¼â€¦ï¼‰}

\begin{proof}
    \verb|proof| çŽ¯å¢ƒä¾ç„¶å¯ç”¨ã€‚
\end{proof}


\bigskip\textcolor{gray!55}{ï¼ˆå¦‚æžœä½&nbsp;æƒ³ä¸ºä¸€ä¸ªå¤§é—®é¢˜ä¸­çš„æ¯ä¸ªå°é—®é¢˜åˆ†åˆ«æ’°å†™è§£ç­”â€¦ï¼‰}

\begin{problem}[ä¸€ä¸ªç”±å¾ˆå¤šå°é—®é¢˜æž„æˆçš„å¤§é—®é¢˜]
    \begin{enumerate}
        \item ç¬¬ä¸€ä¸ªé—®é¢˜ã€‚

        \begin{solution}
            ç¬¬ä¸€ä¸ªé—®é¢˜çš„è§£ç­”ã€‚
        \end{solution}

        \item ç¬¬äºŒä¸ªé—®é¢˜ã€‚

        \begin{enumerate}
            \item ç¬¬ä¸€ä¸ªå°é—®ã€‚

            \begin{solution}
                ç¬¬ä¸€ä¸ªå°é—®çš„è§£ç­”ã€‚
            \end{solution}

            \item ç¬¬äºŒä¸ªå°é—®ã€‚

            \begin{solution}
                ç¬¬äºŒä¸ªå°é—®çš„è§£ç­”ã€‚
            \end{solution}

        \end{enumerate}

        \item ç¬¬ä¸‰ä¸ªé—®é¢˜ã€‚

        \begin{solution}
            ç¬¬ä¸‰ä¸ªé—®é¢˜çš„è§£ç­”ã€‚
        \end{solution}

    \end{enumerate}
    åœ¨æœ«å°¾ä½¿ç”¨ \cverb|\noqed|ï¼ˆæˆ– \cverb|\noQED|ï¼‰å¯ä»¥å–æ¶ˆæ&nbsp;‡è®°ç”¨äºŽå½“å‰é—®é¢˜ç»“æŸçš„æ–¹æ¡†ã€‚
    \noQED
\end{problem}


\bigskip\textcolor{gray!55}{ï¼ˆå¦‚æžœä½&nbsp;å¸Œæœ›æ‰‹åŠ¨ç¼–å·ä¸€ä¸ªä¹&nbsp;é¢˜â€¦ï¼‰}

\ManualNumbering{exercise}{A.1.1}
\begin{exercise}[ä¸€ä¸ªæ‰‹åŠ¨ç¼–å·çš„ä¹&nbsp;é¢˜]
    ä½¿ç”¨ \cverb|\ManualNumbering| ä»¥æ‰‹åŠ¨å¯¹æŸä¸ªä¹&nbsp;é¢˜è¿›è¡Œç¼–å·ã€‚è¿™ä¸ªç¼–å·åªä¼šå½±å“ä¸‹ä¸€ä¸ªè¢«æŒ‡å®šçš„çŽ¯å¢ƒã€‚
\end{exercise}

\begin{exercise}
    ä¹‹åŽç¼–å·ä¾¿ä¼šæ¢å¤æ­£å¸¸ã€‚
\end{exercise}


\bigskip\textcolor{gray!55}{ï¼ˆå¦‚æžœä½&nbsp;æœ‰æš‚æ—¶è§£å†³ä¸å‡ºæ¥çš„é—®é¢˜â€¦ï¼‰}

\DNF&lt;ä¸€äº›æè¿°&gt;


\end{document}
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