垂直均匀分布页面的三个部分

Question

我有一个页面，其中有三个大“部分”，两个项目（枚举），以及页面底部的注释。有没有办法让它们均匀分布在页面上，而不必使用所有换行符？我似乎找不到有关该主题的任何内容。 \desymbol 是一个预定义宏。源文件如下：

\documentclass{article}
\usepackage{amsmath}
\newcommand\desymbol{? }
\begin{document}

\section*{Phase 3}
\begin{enumerate}
\item[1.]
Find the limit and prove using the \desymbol proof.
\begin{equation*}
\lim_{x\to a}(\text{sin}(x)) =
\end{equation*}
\\
\\
\\
\\
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\\
\\
\item[2.]
Find the limit and prove using the \desymbol proof.
\begin{equation*}
\lim_{x\to a}(\text{ln}(x)) =
\end{equation*}
\\
\\
\\
\\
\\
\\
\\
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\\
\end{enumerate}

\hrule\hspace{1mm}\\
\small{This lesson was adapted from a handout by Irena Swanson's MATH111 class at Reed College. The problems are partly my own creation, from her handout, and from D. A. Kouba at University of California, Davis.}

\end{document}

Answer 1

我建议您使用\vspace{\fill}电池代替\\指令。

请注意，这\small不是一个接受参数的宏。如果要限制此指令的范围，请写入{\small ...}，不是 \small{...}。

我也会放置\end{enumerate}指令前，而不是在第二\vspace{\fill}条指令之后。

\documentclass{article}
\usepackage{amsmath} % for 'equation*' environment
\newcommand\desymbol{xxx} %??
\begin{document}

\section*{Phase 3}
\begin{enumerate}
\item
Find the limit and prove using the \desymbol\ proof.
\begin{equation*}
\lim_{x\to a}(\text{sin}(x)) =
\end{equation*}
\vspace{\fill}
\item[2.]
Find the limit and prove using the \desymbol\ proof.
\begin{equation*}
\lim_{x\to a}(\text{ln}(x)) =
\end{equation*}
\end{enumerate}
\vspace{\fill}

\hrule
\smallskip\noindent%
{\small This lesson was adapted from a handout by Irena Swanson's MATH111 class at Reed College. The problems are partly my own creation, from her handout, and from D. A. Kouba at University of California, Davis.\par}

\end{document}

Answer 2

像这样吗？

请注意，enumerate它会自动对项目进行编号。您无需指定它们，而且最好不要指定它们，以防您稍后想要更改顺序或在中间添加项目。

\documentclass{article}
\usepackage{amsmath,amssymb}
\begin{document}
\section*{Phase 3}
\begin{enumerate}
  \item
  Find the limit and prove using the \maltese{} proof.
  \begin{equation*}
    \lim_{x\to a}(\text{sin}(x)) =
  \end{equation*}
  \vfill
  \item
  Find the limit and prove using the \maltese{} proof.
  \begin{equation*}
    \lim_{x\to a}(\text{ln}(x)) =
  \end{equation*}
  \vfill
\end{enumerate}

\hrule\hspace{1mm}

\noindent\small{This lesson was adapted from a handout by Irena Swanson's MATH111 class at Reed College. The problems are partly my own creation, from her handout, and from D. A. Kouba at University of California, Davis.}

\end{document}

然而，这可能不是排版致谢的最佳方式。

如果致谢仅适用于本节，我建议添加脚注：

\section*{Phase 3\footnote{...}}

如果确认适用于整个文档，我建议使用\thanks。

\documentclass{article}
\usepackage{amsmath,amssymb}
\title{Phase 3\thanks{%
    This lesson was adapted from a handout by Irena Swanson's MATH111 class at Reed College.
    The problems are partly my own creation, from her handout, and from D. A. Kouba at University of California, Davis.}%
}
\date{}
\begin{document}
\maketitle
\begin{enumerate}
  \item
  Find the limit and prove using the \maltese{} proof.
  \begin{equation*}
    \lim_{x\to a}(\text{sin}(x)) =
  \end{equation*}
  \vfill
  \item
  Find the limit and prove using the \maltese{} proof.
  \begin{equation*}
    \lim_{x\to a}(\text{ln}(x)) =
  \end{equation*}
  \vfill
\end{enumerate}

\end{document}

Answer 3

你不应该\\在段落的开头、结尾或段落之间使用，原始版本中的每个句子都会生成

Underfull \hbox (badness 10000) in paragraph at lines 33--50

10000 是最大限度TeX 所分配的糟糕程度，因此这种用法（以及由此产生的输出）（根据 TeX 的内置检查）是最糟糕的......

间距也\text{sin}有错误，并且根据数学之外的上下文，可能会使用错误的字体，使用\sin

您还应避免\item[1.]让乳胶数字事物几乎总是更好。

\small不接受参数，所以它\small ...不应该是\small{...}（或者只是使用\footnote它将添加规则，更改字体，并自动将文本置于底部）

我会将标记简化为

\documentclass{article}
\usepackage{amsmath}
\usepackage{enumitem}
\newcommand\desymbol{? }
\begin{document}

\section*{Phase 3\footnote{%
This lesson was adapted from a handout by Irena Swanson's MATH111 class at Reed College. The problems are partly my own creation, from her handout, and from D. A. Kouba at University of California, Davis.}}

\begin{enumerate}[label={[\arabic*.]},
topsep=\textheight minus\textheight,
itemsep=\textheight minus\textheight
]
\item
Find the limit and prove using the \desymbol proof.
\begin{equation*}
\lim_{x\to a}(\sin(x)) =
\end{equation*}

\item
Find the limit and prove using the \desymbol proof.
\begin{equation*}
\lim_{x\to a}(\ln(x)) =
\end{equation*}

\end{enumerate}


\end{document}