在我的某些幻灯片中，尤其是技术幻灯片，我希望将上一张幻灯片的底部（最好是稍微褪色）保留为下一张幻灯片的底部顶部，以便我开始介绍新材料，以便读者能够看到想法和符号的流动。从某种意义上说，就像一个人在黑板上写字一样。然后一次擦除一行……
例如，类似于以下内容的自动化版本...
\documentclass[xcolor=dvipsnames,professionalfonts]{beamer}
\usepackage{xcolor}
\begin{document}
\begin{frame}
This is an important theorem due to Euler:
\pause
\bigskip
\begin{block}{Theorem}
If $n$ and $a$ are coprime positive integers, then
$$
a^{\varphi (n)} \equiv 1 \pmod{n}
$$
where $\varphi(n)$ is Euler's totient function
\end{block}
\end{frame}
\begin{frame}
There is a direct proof: Let $R = \{x_1, x_2, ..., x_{\varphi(n)}\}$ be a reduced residue system
(mod $n$) and let $a$ be any integer coprime to $n$. The proof hinges on the fundamental fact that
multiplication by $a$ permutes the $x_i$:
\only<1>{
\textcolor{lightgray}{\begin{block}{Theorem}
\textcolor{lightgray}{If $n$ and $a$ are coprime positive integers, then
$$
a^{\varphi (n)} \equiv 1 \pmod{n}
$$
where $\varphi(n)$ is Euler's totient function}
\end{block}}}
\only<2>{
in other words if $ax_j ≡ ax_k (\pmod n)$ then $j = k$. That is, the sets $R$ and $aR = \{ax_1, ax_2, ..., ax_{\varpi(n)}\}$,
considered as sets of congruence classes $(\pmod n)$, are identical
so the product of all the numbers in $R$ is congruent $(\pmod n)$ to the product of all the numbers in $aR$:
$$
\prod_{i=1}^{\varphi(n)} x_i \equiv \prod_{i=1}^{\varphi(n)}
ax_i \equiv a^{\varphi(n)}\prod_{i=1}^{\varphi(n)} x_i \pmod{n},
$$
and using the cancellation law to cancel the $x_i$'s gives Euler's theorem:
$$
a^{\varphi(n)}\equiv 1 \pmod{n}.
$$}
\end{frame}
\end{document}
答案1
一些观点：
- 您可以使用
\usebackgroundtemplate和pdfpages插入幻灯片作为背景。 - 表明透水滑梯，
\beamer@startpageofframe很有用。 - 使用
mdframed并tikz阻挡先前渗透的滑道。 - 由于将 pdf 插入到其自身中很危险，因此我创建了两个文件
199832-main.tex和199832-material.pdf。它们几乎完全相同，只是以199832-material.pdf开头的行\usebackgroundtemplate被注释掉了。
所以第10页如下：
以下是代码
\documentclass[t]{beamer}
\usetheme{Berkeley}
\beamertemplatenavigationsymbolsempty
\usepackage{pdfpages}
\usepackage[hidealllines=true,backgroundcolor=white,framemethod=tikz]{mdframed}
\newmdenv[settings={\tikzset{every picture/.style={opacity=0.95}}}]{mymdframed}
\begin{document}
\begin{frame}\begin{mymdframed}
\only<+->{AAAAAAAA AAAAAAAA AAAAAAAA AAAAAAAA \\ AAAAAAAA AAAAAAAA AAAAAAAA AAAAAAAA \\}
\only<+->{AAAAAAAA AAAAAAAA AAAAAAAA AAAAAAAA \\ AAAAAAAA AAAAAAAA AAAAAAAA AAAAAAAA \\}
\only<+->{AAAAAAAA AAAAAAAA AAAAAAAA AAAAAAAA \\ AAAAAAAA AAAAAAAA AAAAAAAA AAAAAAAA \\}
\only<+->{AAAAAAAA AAAAAAAA AAAAAAAA AAAAAAAA \\ AAAAAAAA AAAAAAAA AAAAAAAA AAAAAAAA \\}
\end{mymdframed}\end{frame}
\makeatletter
\newcount\my@frameendprev
\usebackgroundtemplate{\vbox{\my@frameendprev\beamer@startpageofframe\advance\my@frameendprev by-1\includepdf[pages={\the\my@frameendprev}]{199832-material.pdf}}}
\makeatother
\begin{frame}\begin{mymdframed}
\only<+->{BBBBBBBB BBBBBBBB BBBBBBBB BBBBBBBB \\ BBBBBBBB BBBBBBBB BBBBBBBB BBBBBBBB \\}
\only<+->{BBBBBBBB BBBBBBBB BBBBBBBB BBBBBBBB \\ BBBBBBBB BBBBBBBB BBBBBBBB BBBBBBBB \\}
\only<+->{BBBBBBBB BBBBBBBB BBBBBBBB BBBBBBBB \\ BBBBBBBB BBBBBBBB BBBBBBBB BBBBBBBB \\}
\only<+->{BBBBBBBB BBBBBBBB BBBBBBBB BBBBBBBB \\ BBBBBBBB BBBBBBBB BBBBBBBB BBBBBBBB \\}
\end{mymdframed}\end{frame}
\begin{frame}\begin{mymdframed}
\only<+->{CCCCCCCC CCCCCCCC CCCCCCCC CCCCCCCC \\ CCCCCCCC CCCCCCCC CCCCCCCC CCCCCCCC \\}
\only<+->{CCCCCCCC CCCCCCCC CCCCCCCC CCCCCCCC \\ CCCCCCCC CCCCCCCC CCCCCCCC CCCCCCCC \\}
\only<+->{CCCCCCCC CCCCCCCC CCCCCCCC CCCCCCCC \\ CCCCCCCC CCCCCCCC CCCCCCCC CCCCCCCC \\}
\only<+->{CCCCCCCC CCCCCCCC CCCCCCCC CCCCCCCC \\ CCCCCCCC CCCCCCCC CCCCCCCC CCCCCCCC \\}
\end{mymdframed}\end{frame}
\begin{frame}\begin{mymdframed}
\only<+->{DDDDDDDD DDDDDDDD DDDDDDDD DDDDDDDD \\ DDDDDDDD DDDDDDDD DDDDDDDD DDDDDDDD \\}
\only<+->{DDDDDDDD DDDDDDDD DDDDDDDD DDDDDDDD \\ DDDDDDDD DDDDDDDD DDDDDDDD DDDDDDDD \\}
\only<+->{DDDDDDDD DDDDDDDD DDDDDDDD DDDDDDDD \\ DDDDDDDD DDDDDDDD DDDDDDDD DDDDDDDD \\}
\only<+->{DDDDDDDD DDDDDDDD DDDDDDDD DDDDDDDD \\ DDDDDDDD DDDDDDDD DDDDDDDD DDDDDDDD \\}
\end{mymdframed}\end{frame}
\end{document}