因为我想提供一个三角函数教程，所以在处理乳胶时，我收到了一个过满警告，显示“过满 \vbox”。
\documentclass{beamer}
\usepackage[utf8]{inputenc}
%tikzpicture
\usepackage{tikz}
\usepackage{scalerel}
\usepackage{pict2e}
\usepackage{tkz-euclide}
\usetikzlibrary{calc}
\usetikzlibrary{patterns,arrows.meta}
\usetikzlibrary{shadows}
\usetikzlibrary{external}
%pgfplots
\usepackage{pgfplots}
\pgfplotsset{compat=newest}
\usepgfplotslibrary{statistics}
\usepgfplotslibrary{fillbetween}
%colours
\usepackage{xcolor}
%layout justify text
\usepackage{ragged2e}
\apptocmd{\frame}{}{\justifying}{}
%layout
\usefonttheme{professionalfonts}
\setbeamertemplate{navigation symbols}{}
\usetheme{Darmstadt}
\title{Introduction to Trigonometric Function}
\author{}
\date{}
\begin{document}
\begin{frame}
\titlepage
\end{frame}
\begin{frame}{Outline}
\tableofcontents
\end{frame}
\begin{frame}
\frametitle{Angles of Rotation}
\begin{center}
\begin{tikzpicture}[scale=4, cap = round, > = latex,
dot/.style = {circle, fill, minimum size=1.2mm},
lbl/.style = {fill=white, inner sep=2pt, near start, sloped}]
% draw the coordinates
\draw[->] (-1.5,0) -- (1.5,0) node[right] {$x$};
\draw[->] (0,-1.5) -- (0,1.5) node[above] {$y$};
% draw the unit circle
\draw[thick] (0,0) circle[radius=1];
% draw dots, labels
\foreach \i/\j/\k in {
30/\frac{\pi}{6}/{\left(\frac{\sqrt{3}}{2},\frac{1}{2}\right)},
45/\frac{\pi}{4}/{\left(\frac{\sqrt{2}}{2},\frac{\sqrt{2}}{2}\right)},
60/\frac{\pi}{3}/{\left(\frac{1}{2},\frac{\sqrt{3}}{2}\right)},
90/\frac{\pi}{2}/{\rotatebox{-90}{(0,1)}},
120/\frac{2\pi}{3}/{\left(\frac{-1}{2},\frac{\sqrt{3}}{2}\right)},
135/\frac{3\pi}{4}/{\left(\frac{-\sqrt{2}}{2},\frac{\sqrt{2}}{2}\right)},
150/\frac{5\pi}{6}/{\left(\frac{-\sqrt{3}}{2},\frac{1}{2}\right)},
180/\pi/{(-1,0)},
210/\frac{7\pi}{6}/{\left(\frac{-1}{2},\frac{-\sqrt{3}}{2}\right)},
225/\frac{5\pi}{4}/{\left(\frac{-\sqrt{2}}{2},\frac{-\sqrt{2}}{2}\right)},
240/\frac{4\pi}{3}/{\left(\frac{-\sqrt{3}}{2},\frac{-1}{2}\right)},
270/\frac{3\pi}{2}/{\rotatebox{90}{(0,-1)}},
300/\frac{5\pi}{3}/{\left(\frac{1}{2},\frac{-\sqrt{3}}{2}\right)},
315/\frac{7\pi}{4}/{\left(\frac{\sqrt{2}}{2},\frac{-\sqrt{2}}{2}\right)},
330/\frac{11\pi}{6}/{\left(\frac{1}{2},\frac{-\sqrt{3}}{2}\right)},
360/2\pi/{(1,0)}}
{\path[draw=gray] (\i:0) -- (\i:0.5) -- node[lbl] {$\i$} (\i:0.75)-- node[lbl] {$\j$} (\i:1) node[dot] {};
\ifnum\i<270
\ifnum\i>90
\path (\i:1) -- node[lbl, anchor=east] {$\k$} (\i:1.4);
\else
\path (\i:1) -- node[lbl, anchor=west] {$\k$} (\i:1.4);
\fi
\else
\path (\i:1) -- node[lbl, anchor=west] {$\k$} (\i:1.3);
\fi}
\end{tikzpicture}
\end{center}
\end{frame}
\end{document}
这是屏幕截图。
如何修复它或者是否有任何默认设置代码可以修复此警告？
答案1
tikzpicture由于太大，您会收到此警告。通过更改scale=4为 来减小其大小scale=1.9，警告将消失：
\documentclass{beamer}
\usepackage[utf8]{inputenc}
%layout
\usetheme{Darmstadt}
\usefonttheme{professionalfonts}
\setbeamertemplate{navigation symbols}{}
%layout justify text
\usepackage{ragged2e}
\apptocmd{\frame}{}{\justifying}{}
%tikzpicture
\usepackage{tikz}
\usetikzlibrary{arrows.meta,
calc,
patterns,
shadows}
\usetikzlibrary{external}
\begin{document}
\begin{frame}
\frametitle{Angles of Rotation}
\begin{center}
\begin{tikzpicture}[scale=1.9, % <---
cap = round, > = latex,
dot/.style = {circle, fill, minimum size=2mm, inner sep=0pt}, % <---
lbl/.style = {fill=white, inner sep=2pt, near start, sloped}]
% draw the coordinates
\draw[->] (-1.5,0) -- (1.5,0) node[right] {$x$};
\draw[->] (0,-1.5) -- (0,1.5) node[above] {$y$};
% draw the unit circle
\draw[thick] (0,0) circle[radius=1];
% draw dots, labels
\foreach \i/\j/\k in {
30/\frac{\pi}{6}/{\left(\frac{\sqrt{3}}{2},\frac{1}{2}\right)},
45/\frac{\pi}{4}/{\left(\frac{\sqrt{2}}{2},\frac{\sqrt{2}}{2}\right)},
60/\frac{\pi}{3}/{\left(\frac{1}{2},\frac{\sqrt{3}}{2}\right)},
90/\frac{\pi}{2}/{\rotatebox{-90}{(0,1)}},
120/\frac{2\pi}{3}/{\left(\frac{-1}{2},\frac{\sqrt{3}}{2}\right)},
135/\frac{3\pi}{4}/{\left(\frac{-\sqrt{2}}{2},\frac{\sqrt{2}}{2}\right)},
150/\frac{5\pi}{6}/{\left(\frac{-\sqrt{3}}{2},\frac{1}{2}\right)},
180/\pi/{(-1,0)},
210/\frac{7\pi}{6}/{\left(\frac{-1}{2},\frac{-\sqrt{3}}{2}\right)},
225/\frac{5\pi}{4}/{\left(\frac{-\sqrt{2}}{2},\frac{-\sqrt{2}}{2}\right)},
240/\frac{4\pi}{3}/{\left(\frac{-\sqrt{3}}{2},\frac{-1}{2}\right)},
270/\frac{3\pi}{2}/{\rotatebox{90}{(0,-1)}},
300/\frac{5\pi}{3}/{\left(\frac{1}{2},\frac{-\sqrt{3}}{2}\right)},
315/\frac{7\pi}{4}/{\left(\frac{\sqrt{2}}{2},\frac{-\sqrt{2}}{2}\right)},
330/\frac{11\pi}{6}/{\left(\frac{1}{2},\frac{-\sqrt{3}}{2}\right)},
360/2\pi/{(1,0)}}
{\path[draw=gray] (\i:0) -- (\i:0.5) -- node[lbl] {$\i$} (\i:0.75)-- node[lbl] {$\j$} (\i:1) node[dot] {};
\ifnum\i<270
\ifnum\i>90
\path (\i:1) -- node[lbl, anchor=east] {$\k$} (\i:1.4);
\else
\path (\i:1) -- node[lbl, anchor=west] {$\k$} (\i:1.4);
\fi
\else
\path (\i:1) -- node[lbl, anchor=west] {$\k$} (\i:1.3);
\fi}
\end{tikzpicture}
\end{center}
\end{frame}
\end{document}
编译结果
无关： Beamer 加载了一些包，其中包括“xcolor”包，因此您不需要再次加载。