问索引index和术语表glossaries同时排版，glossaries加载不出来的问题

我尝试了一下，正确的逐次编译命令可以是：

  xelatex mwe.tex
  makeglossaries mwe
  makeindex -o nouns.ind nouns.idx
  makeindex -o persons.ind persons.idx
  xelatex mwe.tex
  xelatex mwe.tex

注意这里的「makeglossaries mwe」这个命令是不会自动被「latexmk」接管的（可以通过latexmkrc来控制），可以找一个「最简单的makeglossaries」的例子试试，然后再看看texstudio要如何编译出「术语表」。

对于这类比较完整的书籍项目，可以考虑模仿「lshort-zh-cn」等项目（让ai辅助）写一个项目级别的latexmkrc文件，这样只要把默认recipe设置为latexmk则可以高枕无忧了...

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问怎么调整由 tikzpicture 环境生成的 TikZ 图片在 PDF 中的尺寸？

\documentclass[fontset=fandol]{ctexart}
\usepackage{tikz,tabularray,amsmath,graphicx,showframe}
\begin{document}
\begin{center}
\zihao{-6}
\begin{minipage}{.5\linewidth}
\centering
\begin{tblr}{baseline=c,columns={c,m},hlines,vlines}
级数 & 名称 & {风速大小\\(单位: $\mathrm{m/s}$)}\\
2 & 轻风 & $1.6\,\text{{}\~{}}\,3.3$ \\
3 & 微风 & $3.4\,\text{{}\~{}}\,5.4$ \\
4 & 和风 & $5.5\,\text{{}\~{}}\,7.9$ \\
5 & 劲风 & $8.0\,\text{{}\~{}}\,10.7$ \\
\end{tblr}\\[1ex]图1
\end{minipage}%
\begin{minipage}{.5\linewidth}
\centering  
\begin{tikzpicture}[baseline={(current bounding box.center)},scale=.6875]
  \draw[dash pattern=on 2pt off 2pt,gray] (0,0) grid (3,3);
  \draw[-stealth] (-.5,0) -- (3.5,0);
  \draw[-stealth] (0,-.5) -- (0,3.5);
  \draw[-stealth] (3,3)   -- (0,2);
  \draw[-stealth] (2,0)   -- (3,3);
  \foreach \x in {1,2,3} {
    \node at (\x,0) [below]      {$\x$};
    \node at (0,\x) [left]       {$\x$};
}
  \node at (0,0)    [below left] {$O$};
  \node at (3.5,0)  [below]      {$x$};
  \node at (0,3.5)  [left]       {$y$};
  \node at (1,3)    [below]      {视风风速};
  \node at (2.5,0)  [above]      {船速};
\end{tikzpicture}\\[1ex]图2
\end{minipage}
\end{center}

\bigskip

\newsavebox{\tmpbox}
\newcommand{\matchtmpboxdepth}[1]{%
  \raisebox{-\dp\tmpbox}{#1}%
}
\begin{lrbox}{\tmpbox}%
\zihao{-6}%
\begin{tblr}{baseline=c,columns={c,m},hlines,vlines}
级数 & 名称 & {风速大小\\(单位: $\mathrm{m/s}$)}\\
2 & 轻风 & $1.6\,\text{{}\~{}}\,3.3$ \\
3 & 微风 & $3.4\,\text{{}\~{}}\,5.4$ \\
4 & 和风 & $5.5\,\text{{}\~{}}\,7.9$ \\
5 & 劲风 & $8.0\,\text{{}\~{}}\,10.7$ \\
\end{tblr}%
\end{lrbox}

\begin{center}
\zihao{-6}
\begin{minipage}{.5\linewidth}
\centering
\usebox{\tmpbox}\\[1ex]图1%
\end{minipage}%
\begin{minipage}{.5\linewidth}
\centering  
\matchtmpboxdepth{%
\resizebox{!}{\dimexpr\ht\tmpbox+\dp\tmpbox\relax}{%
\begin{tikzpicture}
  \draw[dash pattern=on 2pt off 2pt,gray] (0,0) grid (3,3);
  \draw[-stealth] (-.5,0) -- (3.5,0);
  \draw[-stealth] (0,-.5) -- (0,3.5);
  \draw[-stealth] (3,3)   -- (0,2);
  \draw[-stealth] (2,0)   -- (3,3);
  \foreach \x in {1,2,3} {
    \node at (\x,0) [below]      {$\x$};
    \node at (0,\x) [left]       {$\x$};
}
  \node at (0,0)    [below left] {$O$};
  \node at (3.5,0)  [below]      {$x$};
  \node at (0,3.5)  [left]       {$y$};
  \node at (1,3)    [below]      {视风风速};
  \node at (2.5,0)  [above]      {船速}; 
   \draw[red, dashed, thick, overlay]
    ([xshift=.5\pgflinewidth,yshift=.5\pgflinewidth]current bounding box.south west) rectangle 
    ([xshift=-.5\pgflinewidth,yshift=-.5\pgflinewidth]current bounding box.north east);
\end{tikzpicture}
}}\\[1ex]图2
\end{minipage}
\end{center}

\begin{center}
\zihao{-6}
\begin{minipage}{.5\linewidth}
\centering
\usebox{\tmpbox}\\[1ex]图1%
\end{minipage}%
\begin{minipage}{.5\linewidth}
\centering  
\matchtmpboxdepth{%
  \includegraphics[height=\dimexpr\ht\tmpbox+\dp\tmpbox\relax]{example-image-duck}%
}
\\[1ex]图2
\end{minipage}
\end{center}

\end{document}

真实的题目排版里是不是也不是非要「严格对齐」不可呢？考虑到代码的可读性，直接用例如scale=0.65我个人觉得也是合适的。

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问生成一个血糖记录本，统计数据随表格中数据编译后更新

不建议用LaTeX的宏包来实现这种自动化。

IMHO...应该vibecoding一个简易的APP来记录更靠谱

srds...基于tabularray以及functional库是可以实现的，就是逻辑可能要做很多判断...

先简化例子

\documentclass[a4paper,landscape]{article}
\usepackage[fontset=fandol]{ctex}
\usepackage{xcharter-otf}
\usepackage[hmargin=1.2cm,vmargin=1.8cm]{geometry}
\usepackage{tabularray}
\usepackage{ninecolors}
\usepackage{xcolor}

\newcommand{\zz}[1]{\ifnum#1<10 0#1\else#1\fi}
\pagecolor{cyan!10}

\begin{document}
\title{\Large 血糖监测记录本}
\author{姓名：\underline{\hspace{4cm}} \quad 正常空腹：4.4～7.0 mmol/L}
\date{}
\maketitle

{\centering
\begin{longtblr}[caption={血糖记录本}]
{
  colspec = {*{9}{c}Q[8cm,c]},
  vlines,hlines,rowhead = 1,
  column{3} = {bg=pink!15},
  column{4-5} = {bg=green!15},
  column{6-7} = {bg=orange!15},
  column{8-9} = {bg=blue!15}
}
    日期 & 星期 & 空腹 & 早餐后1h & 早餐后2h & 午餐后1h & 午餐后2h & 晚餐后1h & 晚餐后2h & 备注 \\
    % 6月第4周 22-28（带实测数据）
    2026-\zz{6}-\zz{22}& 周一 &5.6 & & & 5.6 & 6.7 & & 7.8 & \\
    2026-\zz{6}-\zz{23}& 周二 & & & & & & & & \\
    2026-\zz{6}-\zz{24}& 周三 &2.33 & & & & & & & \\
    2026-\zz{6}-\zz{25}& 周四 &9.0 & & &  & & & & \\
    2026-\zz{6}-\zz{26}& 周五 &6.7(8:56) & & &7.3(13:41) & & &6.2(21:17) & 午餐后快步走40分钟 \\
    2026-\zz{6}-\zz{27}& 周六 &6.7(8:55) & & &6.8(14:09) & &7.0(20:44) & & 早餐、午餐后快步走40分钟；晚餐后混氧运动 \\
    2026-\zz{6}-\zz{28}& 周日 &6.0(9:12) & & & & & & &早餐后混氧运动 \\
    \SetCell[c=10]{l}{} & & & & & & & & & \\
\end{longtblr}
}

\end{document}

基于简化问题的“自动化”代码

\documentclass[a4paper,landscape]{article}
\usepackage[fontset=fandol]{ctex}
\usepackage{xcharter-otf}
\usepackage[hmargin=1.2cm,vmargin=1.8cm]{geometry}
\usepackage{tabularray}
\UseTblrLibrary{functional}
\usepackage{ninecolors}
\usepackage{xcolor}

\newcommand{\zz}[1]{\ifnum#1<10 0#1\else#1\fi}
\pagecolor{cyan!10}

\IgnoreSpacesOn
\prgNewFunction \SugarReadingValue { m } {
  \regexExtractOnceTF { \A \s* ([0-9]+ (?: \. [0-9]+)?) } {#1} \lTmpaSeq {
    \prgReturn { \seqVarItem \lTmpaSeq {2} }
  } {
    \prgReturn {}
  }
}

\prgNewFunction \SugarValuesFromCells { m m m M } {
  \clistClear #4
  \intStepOneInline {#1} {#2} {
    \clistMapVariable {#3} \lTmpbTl {
      \tlSet \lTmpaTl { \SugarReadingValue { \cellGetText {##1} {\tlUse \lTmpbTl} } }
      \tlVarIfEmptyF \lTmpaTl {
        \clistPutRight #4 { \tlUse \lTmpaTl }
      }
    }
  }
}

\prgNewFunction \SugarValuesMax { M } {
  \clistVarIfEmptyTF #1 {
    \prgReturn {}
  } {
    \clistGet #1 \lTmpaTl
    \clistVarMapInline #1 {
      \fpCompareT {##1} > { \lTmpaTl } {
        \tlSet \lTmpaTl {##1}
      }
    }
    \prgReturn { \tlUse \lTmpaTl }
  }
}

\prgNewFunction \SugarValuesMin { M } {
  \clistVarIfEmptyTF #1 {
    \prgReturn {}
  } {
    \clistGet #1 \lTmpaTl
    \clistVarMapInline #1 {
      \fpCompareT {##1} < { \lTmpaTl } {
        \tlSet \lTmpaTl {##1}
      }
    }
    \prgReturn { \tlUse \lTmpaTl }
  }
}

\prgNewFunction \SugarValuesMean { M } {
  \clistVarIfEmptyTF #1 {
    \prgReturn {}
  } {
    \fpZero \lTmpaFp
    \clistVarMapInline #1 {
      \fpAdd \lTmpaFp {##1}
    }
    \prgReturn { \fpEval { round((\fpUse \lTmpaFp) / \clistVarCount #1, 2) } }
  }
}

\prgNewFunction \FillSugarWeekStats { } {
  \SugarValuesFromCells {2} {8} {3} \lTmpaClist
  \SugarValuesFromCells {2} {8} {4,6,8} \lTmpbClist
  \SugarValuesFromCells {2} {8} {5,7,9} \lTmpcClist
  \cellSetText {9} {1} {
    \textbf{
      空腹：最高 \SugarValuesMax \lTmpaClist，最低 \SugarValuesMin \lTmpaClist，均值 \SugarValuesMean \lTmpaClist；
      餐后1h：最高 \SugarValuesMax \lTmpbClist，最低 \SugarValuesMin \lTmpbClist，均值 \SugarValuesMean \lTmpbClist；
      餐后2h：最高 \SugarValuesMax \lTmpcClist，最低 \SugarValuesMin \lTmpcClist，均值 \SugarValuesMean \lTmpcClist
    }
  }
}
\IgnoreSpacesOff

\begin{document}
\title{\Large 血糖监测记录本}
\author{姓名：\underline{\hspace{4cm}} \quad 正常空腹：4.4～7.0 mmol/L}
\date{}
\maketitle

{\centering
\begin{longtblr}[caption={血糖记录本}]
{
  colspec = {*{9}{c}Q[8cm,c]},
  vlines,hlines,rowhead = 1,
  column{3} = {bg=pink!15},
  column{4-5} = {bg=green!15},
  column{6-7} = {bg=orange!15},
  column{8-9} = {bg=blue!15},
  process = \FillSugarWeekStats
}
    日期 & 星期 & 空腹 & 早餐后1h & 早餐后2h & 午餐后1h & 午餐后2h & 晚餐后1h & 晚餐后2h & 备注 \\
    % 6月第4周 22-28（带实测数据）
    2026-\zz{6}-\zz{22}& 周一 &5.6 & & & 5.6 & 6.7 & & 7.8 & \\
    2026-\zz{6}-\zz{23}& 周二 & & & & & & & & \\
    2026-\zz{6}-\zz{24}& 周三 &2.33 & & & & & & & \\
    2026-\zz{6}-\zz{25}& 周四 &9.0 & & &  & & & & \\
    2026-\zz{6}-\zz{26}& 周五 &6.7(8:56) & & &7.3(13:41) & & &6.2(21:17) & 午餐后快步走40分钟 \\
    2026-\zz{6}-\zz{27}& 周六 &6.7(8:55) & & &6.8(14:09) & &7.0(20:44) & & 早餐、午餐后快步走40分钟；晚餐后混氧运动 \\
    2026-\zz{6}-\zz{28}& 周日 &6.0(9:12) & & & & & & &早餐后混氧运动 \\
    \SetCell[c=10]{l}{} & & & & & & & & & \\
\end{longtblr}
}

\end{document}

To-Do(我是不想做...)

处理日期结构
处理分周、分月的计算统计逻辑
处理每周新增一行进行记录的表格排布逻辑
表末输出不同层级的总结

这里每一步都需要做海量的逻辑处理... 意义也不大...

2 条评论收藏感谢

问求普林斯顿大学图书模板的下载链接？

确定是旧版，2011年的，15年前，应该有许多改进。

如果只看2011年的.cls,并不能得到「应该有许多改进」

但这个文件结构被破坏了，他已经“被使用”了。

是什么意思呢？

pupbook.cls

2 条评论收藏感谢

问生成一个血糖记录本，统计数据随表格中数据编译后更新

统计数据随表格中数据编译后更新

1 条评论收藏感谢

问如何自定义一个命令输入平行且等于号？

Claim:这个解决方案存在一些依赖

\documentclass{article}
\usepackage{unicode-math}
\usepackage{exam-zh-symbols}
\begin{document}

$A \paralleleq B$

\[A \paralleleq B\]

\end{document}

更好的办法是把原始定义摘出来，留做习题。

Edit

Hint here

0 条评论收藏感谢

问在 tikz 绘制的一个图中，如何让所有的两两相交的曲线在交点处不重合

Another possibility in tikz-cd:

0 条评论收藏感谢

问如何在beamer中对插入的图片进行标注，并分步骤显示标注？

\documentclass[tikz,border=8pt]{standalone}
\usepackage[svgnames]{xcolor}
\usepackage{fourier}
\usetikzlibrary{arrows.meta,calc,positioning,shadows,shapes.geometric,shapes.symbols}
\begin{document}
\begin{tikzpicture}[
  font=\sffamily,=Latex,
  line/.style={wire,draw=black!75},
  orange line/.style={wire,draw=DarkOrange},
  wire/.style={line width=.8pt,-{Latex[length=3mm,width=2.2mm]}},
  component/.style={draw=black!75,line width=.8pt,fill=white,drop shadow},
  tag/.style={component,signal,signal to=#1,minimum width=31mm,minimum height=8mm,inner xsep=4mm},
  block/.style={component,draw=DarkOrange,fill=gray!20,line width=.9pt,minimum width=34mm,minimum height=48mm},
  constant/.style={component,minimum size=12mm},
  gain/.style={component,regular polygon,regular polygon sides=3,shape border rotate=-90,minimum size=17mm},
  display/.style={component,minimum width=12mm,minimum height=13mm}
]
\node[block] (system) {};
\node[tag=east,fill=Violet!45,anchor=east] (isabc) at ([xshift=-30mm,yshift=14mm]system.west) {Is\_ABC};
\node[constant,anchor=west] (dc) at (isabc.west |- system.west) {$320$};
\node[tag=east,fill=LightSalmon,anchor=east] (theta) at ([xshift=-30mm,yshift=-14mm]system.west) {theta\_e};
\node[anchor=west] at ([yshift=14mm]system.west) {Is\_ABC};
\node[anchor=west] at (system.west) {V\_dc};
\node[anchor=west] at ([yshift=-14mm]system.west) {theta\_e};
\node[anchor=east] at ([yshift=10mm]system.east) {idq\_pu};
\node[anchor=east] at ([yshift=-10mm]system.east) {V\_dc\_pu};
\node[DarkOrange,anchor=north,font=\bfseries] at ([yshift=-1mm]system.south) {$3s{>}2s\ \&\ pu$};
\node[tag=west,fill=Cyan!45,anchor=west] (idqpu) at ([xshift=25mm,yshift=10mm]system.east) {idq\_pu};
\node[tag=west,fill=SlateBlue!55,anchor=west] (vdcpu) at ([xshift=25mm,yshift=-10mm]system.east) {Vdc\_pu};
\coordinate (branch) at ($(system.east)+(12mm,10mm)$);
\node[gain] (ibase) at ([xshift=22mm,yshift=22mm]branch) {};
\node at (ibase) {ibase};
\node[below=2mm of ibase] (ibaselabel) {ibase};
\node[display,right=14mm of ibase] (display) {};
\node[rectangle,draw=black!75,line width=.7pt,minimum width=8mm,minimum height=5mm] at ([yshift=2mm]display.center) {};
\node at (ibaselabel -| display) {idq};
\draw[line] (isabc.east) -- ([yshift=14mm]system.west);
\draw[line] (dc.east) -- (system.west);
\draw[line] (theta.east) -- ([yshift=-14mm]system.west);
\draw[orange line] ([yshift=10mm]system.east) -- (idqpu.west);
\draw[orange line] ([yshift=-10mm]system.east) -- (vdcpu.west);
\fill[DarkOrange] (branch) circle (1.1pt);
\draw[orange line] (branch) |- (ibase.west);
\draw[line] (ibase.east) -- (display.west);
\end{tikzpicture}
\end{document}

0 条评论收藏感谢

问 latex绘图填充区域颜色问题

Here below is the proposal based on luadraw:

Example A

\documentclass[border=5pt]{standalone}
\usepackage{fourier-otf}
\usepackage{luadraw}
\begin{document}
    \begin{luadraw}{name=fillarea}
    local ld = luadraw
    local g = ld.graph:new{
        window={-2.5,2.5,-2.5,2.5,2,1},
        size={8,10},margin=0.25
    }
    local pi,f = math.pi,math.atan
    local h = function() return pi/2 end
    g:Filloptions("full","red!30",0.3)
    g:Linestyle("noline")
    g:Ddomain2(f,h,{x={0,2}})
    g:Lineoptions("dashed","black",4)
    g:Filloptions("none",nil,1)
    g:DlineEq(0,1,-pi/2)
    g:DlineEq(0,1,pi/2)
    g:Lineoptions("solid","black",6)
    g:Dcartesian(f,{x={-2,2}})
    g:Daxes({0,1,1},{labelpos={"none","none"},originpos={"none","none"},xyticks={0,0},legend={"$x$","$y$"},arrows="-Stealth"})
    g:Show()
    \end{luadraw}
\end{document}

Example B

\documentclass[border=5pt]{standalone}
\usepackage{fourier-otf}
\usepackage{luadraw}
\usepackage[svgnames]{xcolor}
\begin{document}
    \begin{luadraw}{name=gradbox}
        local ld = luadraw
        local g = ld.graph:new{window={-5,4,-5.5,5},size={10,10}}
        local i, pi = ld.cpx.I, math.pi
        local h = function(x) return x^2/2-2 end
        local f = function(x) return math.sin(3*x)+h(x) end
        g:Dgradbox(
            {-pi-4*i,pi+4*i,pi/3,1},
            {
                grid=true,originloc=0,
                originnum={0,0},
                labeltext={"\\pi",""}, 
                labelden={3,1}, 
                title="\\textbf{Title}", 
                legend={"Legend $x$","Legend $y$"}
            }
        )
        g:Filloptions("full","blue",0.6); g:Linestyle("noline")
        g:Ddomain2(f,h,{x={-pi/2,2*pi/3}}) 
        g:Filloptions("none",nil,1); g:Lineoptions("solid",nil,8)
        g:Dcartesian(h,{x={-pi,pi}, draw_options="DarkBlue"}) 
        g:Dcartesian(f,{x={-pi,pi},draw_options="Crimson"})
        g:Show()
    \end{luadraw}
\end{document}

Example C

\documentclass[border=5pt]{standalone}
\usepackage{fourier-otf}
\usepackage{luadraw}
\usepackage[svgnames]{xcolor}
\begin{document}
    \begin{luadraw}{name=implicit_inequalities}
        local ld = luadraw
        local cpx = ld.cpx
        local Z = cpx.Z
        local g = ld.graph:new{ window = {-3, 4, -3, 5}, size = {10, 10} }
        local f1 = function(x,y) return -x*y+y^2-x^2-1 end
        local f2 = function(x,y) return x^3-x-y^2+4 end
        local filloptions = "draw=none,pattern= north west lines, pattern color=cyan"
        g:Daxes( {0,1,1},{grid=true,gridstyle="dashed",xyticks={0,0},arrows="-Stealth"})
        g:Dimplicit_inequalities( 
            {f1,'<',f2,">"}, 
            {view={-2,5,-5,5}, draw_options=filloptions}
        ) 
        g:Dimplicit(f1, {draw_options="red,thick"})
        g:Dimplicit(f2, {view={-2,5,-5,5}, draw_options="violet,thick"})
        local eq = \luastringO{$\begin{cases}y^2-x^2-xy < 1\\ x^3-x+4 > y^2\end{cases}$} 
        g:Dlabel( eq, Z(2.25,1), {node_options="fill=white"})
        g:Show()
    \end{luadraw}
\end{document}

Example D

\documentclass[multi={luadraw},border=5pt]{standalone}
\usepackage[svgnames]{xcolor}
\usepackage{luadraw}
\usepackage{fourier-otf}

\begin{document}
    \begin{luadraw}{name=implicit_inequalities1}
        local ld = luadraw
        local cpx = ld.cpx
        local Z = cpx.Z
        local g = ld.graph:new{ window = {-3, 4, -2, 6}, size = {10, 10} }
        g:Daxes({0,1,1}, {grid=true, gridstyle = "dashed",arrows="-Stealth", legend={"$x$","$y$"}})
        local f1 = function(x,y) return x^2 + y^2 - 2*x - 4*y - 4 end
        local f2 = function(x,y) return y-math.sin(8*x)  end
        local f3 = function(x,y) return math.sin(8*x)  end
        local filloptions = "draw=none,pattern= north west lines, pattern color=cyan"
        g:Dimplicit_inequalities( {f1,'<',f2,">"}, {grid={100,100}, draw_options=filloptions})
        g:Dimplicit(f1, {draw_options="red,thick"})
        g:Dcartesian(f3, {draw_options="blue"});
        g:Show()
    \end{luadraw}

    \begin{luadraw}{name=implicit_inequalities2}
        local ld = luadraw
        local cpx = ld.cpx
        local Z = cpx.Z
        local g = ld.graph:new{ window = {-3, 4, -2, 6}, size = {10, 10} }
        g:Daxes({0,1,1}, {grid=true, gridstyle = "dashed",arrows="-Stealth", legend={"$x$","$y$"}})
        local f1 = function(x,y) return x^2 + y^2 - 2*x - 4*y - 4 end
        local f2 = function(x,y) return y-math.sin(8*x)  end
        local f3 = function(x,y) return math.sin(8*x)  end
        local filloptions = "draw=none,pattern= north west lines, pattern color=cyan"
        g:Dimplicit_inequalities( {f1,'<',f2,"<"}, {grid={100,100}, draw_options=filloptions})
        g:Dimplicit(f1, {draw_options="red,thick"})
        g:Dcartesian(f3, {draw_options="blue"});
        g:Show()
    \end{luadraw}
\end{document}

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问怎样绘制指数函数图象？

代码是没问题的，问题很可能事万恶的该死的「CTeX套装」...

\documentclass[tikz,border=5pt]{standalone}
\begin{document}
\begin{tikzpicture}[scale=.4]
        \draw[->,>=stealth](-2.2,0)--(3,0) node[below] {$x$};
        \draw[->,>=stealth](0,-2)--(0,4) node[left] {$y$};
        \draw[domain=-2:1.8,smooth] plot(\x,{2^\x});
\end{tikzpicture}
\end{document}

在TeXLive2026下效果一切正常：

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问请问这种图形怎么用Tikz画出来

单个第三个图片怎么画出来？

@u92074 2026年了，直接考虑luadraw;-)

Here below is the proposal:

\documentclass{standalone}
\usepackage[svgnames]{xcolor}
\usepackage[3d]{luadraw}

\begin{document}

\begin{luadraw}{name=round-cobuid}
local ld = luadraw
local pt3d = ld.pt3d
local M, vecI, vecJ, vecK = pt3d.M, pt3d.vecI, pt3d.vecJ, pt3d.vecK
local sqrt, sin, cos = math.sqrt, math.sin, math.cos

local g = ld.graph3d:new{
  window3d={-5,5,-5,5,-5,5},
  window={-4,3,-2,4},viewdir={35,80}
}

-- length, width, height
local L, W, H = 5.0, 2.4, 3.0

local t = 0.5

local scene = {}

local function add_quarter_cylinder(center, r1, r2, axis, n)
  local poly = ld.cylinder(
    center, axis, sqrt(pt3d.dot(r1, r1)), 4*n
  )
  poly = ld.cutpoly(poly, {center, r1}, true)
  poly = ld.cutpoly(poly, {center, r2}, true)

  local arc1, arc2 = {}, {}
  for k=0,n do
    local u = k*math.pi/2/n
    local p = center + cos(u)*r1 + sin(u)*r2
    table.insert(arc1, p)
    table.insert(arc2, p+axis)
  end

  table.insert(scene, g:addPoly(poly, {color="white"}))
  table.insert(scene, g:addPolyline({
    arc1, arc2,
    {arc1[1], arc2[1]},
    {arc1[#arc1], arc2[#arc2]}
  }, {hidden=true, hiddenstyle="dashed"}))
end

local function add_octant_sphere(center, r1, r2, r3, n)
  local poly = ld.sphere(center, sqrt(pt3d.dot(r1, r1)), 4*n, 2*n)
  poly = ld.cutpoly(poly, {center, r1}, true)
  poly = ld.cutpoly(poly, {center, r2}, true)
  poly = ld.cutpoly(poly, {center, r3}, true)

  local function arc(a, b)
    local points = {}
    for k=0,n do
      local u = k*math.pi/2/n
      table.insert(points, center + cos(u)*a + sin(u)*b)
    end
    return points
  end

  table.insert(scene, g:addPoly(poly, {color="white", contrast=0}))
  table.insert(scene, g:addPolyline({
    arc(r1, r2), arc(r1, r3), arc(r2, r3)
  }, {hidden=true, hiddenstyle="dashed"}))
end

local boxes = {
  ld.parallelep(M(0,0,0), L*vecI, W*vecJ, H*vecK),
  ld.parallelep(M(0,0,H), L*vecI, W*vecJ, t*vecK),
  ld.parallelep(M(0,W,0), L*vecI, t*vecJ, H*vecK),
  ld.parallelep(M(L,0,0), t*vecI, W*vecJ, H*vecK)
}

for _,poly in ipairs(boxes) do
  table.insert(scene, g:addPoly(poly, {color="white",edge=true,hidden=true,hiddenstyle="dashed"}))
end

add_quarter_cylinder(M(0,W,H), t*vecJ, t*vecK, L*vecI, 18)
add_quarter_cylinder(M(L,0,H), t*vecI, t*vecK, W*vecJ, 18)
add_quarter_cylinder(M(L,W,0), t*vecI, t*vecJ, H*vecK, 18)
add_quarter_cylinder(M(0,W,0), t*vecJ, -t*vecK, L*vecI, 18)
add_quarter_cylinder(M(L,0,0), t*vecI, -t*vecK, W*vecJ, 18)
add_octant_sphere(M(L,W,H), t*vecI, t*vecJ, t*vecK, 12)
add_octant_sphere(M(L,W,0), t*vecI, t*vecJ, -t*vecK, 12)

g:Dscene3d(table.unpack(scene))

g:Show()
\end{luadraw}

\end{document}

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问如何设置beamer顶部当前导航条的背景色为另一种颜色？

在.cls里面搜类似「浙大蓝」这种颜色的名称...改一下...

另外，你猜猜「巧妇难为无米之炊」的LaTeX论坛版是什么呢...

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问在 tikz 绘制的一个图中，如何让所有的两两相交的曲线在交点处不重合

参考 knots 包
虽然已经有最佳答案了，我也来补充一个治标的方法，需要保证连续的线可以使用双线 double 绘制，选项 [draw = white, double=black,double distance =0.4pt]

也许比较治本的方法。

\documentclass[tikz,border=5pt]{standalone}
% https://tex.stackexchange.com/a/762955/322482
% https://github.com/loopspace/spath3/issues/37
\ExplSyntaxOn
\msg_redirect_name:nnn { kernel } { variant-same-as-base } { info }
\ExplSyntaxOff

\usetikzlibrary{knots}

\ExplSyntaxOn
\msg_redirect_name:nnn { kernel } { variant-same-as-base } { error }
\ExplSyntaxOff

\begin{document}
\begin{tikzpicture}
    \begin{knot}[clip width=5, flip crossing=1]
    \strand[red, ultra thick] (0,0) .. controls +(1,0) and +(-1,0) .. (2,1) .. controls +(1,0) and +(-1,0) .. (4,0);
    \strand[blue, ultra thick] (0,1) .. controls +(1,0) and +(-1,0) .. (2,0) .. controls +(1,0) and +(-1,0) .. (4,1);
    \end{knot}
\end{tikzpicture}
\end{document}

\documentclass[tikz,border=5pt]{standalone}
% https://tex.stackexchange.com/a/762955/322482
% https://github.com/loopspace/spath3/issues/37
\ExplSyntaxOn
\msg_redirect_name:nnn { kernel } { variant-same-as-base } { info }
\ExplSyntaxOff

\usetikzlibrary{intersections,spath3}

\ExplSyntaxOn
\msg_redirect_name:nnn { kernel } { variant-same-as-base } { error }
\ExplSyntaxOff

\begin{document}
\begin{tikzpicture}
\path[spath/save=pathA] (0,0) .. controls +(1,0) and +(-1,0) .. (2,1) .. controls +(1,0) and +(-1,0) .. (4,0);
\path[spath/save=pathB] (0,1) .. controls +(1,0) and +(-1,0) .. (2,0) .. controls +(1,0) and +(-1,0) .. (4,1);
\tikzset{
  spath/split at intersections={pathA}{pathB},
  spath/insert gaps after components={pathA}{5pt}{1},
  spath/insert gaps after components={pathB}{5pt}{2},
}

\draw[red, ultra thick, spath/use=pathA];
\draw[blue, ultra thick, spath/use=pathB];
\end{tikzpicture}
\end{document}

那个最佳答案里的 knot 宏包实际上也有问题，不能满足我的要求

...? 或许补充更多原始需求的信息...?

类似花老师的这个需求：

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问图中阴影部分要怎么画？

Step1. 代码不要包含一大堆与原始问题无关的内容。

Step2. 可以考虑基于angles库绘制代码，简化并美化角度的标注

Step3. 基于patterns库实现阴影的绘制

\documentclass[tikz,border=5pt]{standalone}
\usepackage{amsmath}
\usepackage{fourier}
\usetikzlibrary{arrows.meta,angles,quotes,patterns,bending}
\begin{document}
    \begin{tikzpicture}
        \draw[-Stealth,thick] (-2,0)--(4,0);
        \draw[-Stealth,thick] (0,-3)--(0,3) node[above]{$(z)$};
        \draw (3,-3) -- coordinate[pos=.1] (A) (0,0) node[label=below left:$O$] (O) {} -- coordinate[pos=.9] (B) (2.5,3);
        \draw[pattern=north west lines,pattern color=magenta!50] (A) -- (0,0) -- (B) -- (A) -- cycle;
        \pic["$\pi/\alpha$", draw=teal, text=teal, fill=white, -Stealth, angle eccentricity=1.75] {angle = A--O--B};
    \end{tikzpicture}
\end{document}

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问使用pgfplots绘折线图时，如何改变某几个点的颜色？

提问请务必提供代码。否则别人要从零开始搓，这不合理。

\documentclass{standalone}
\usepackage{libertine}
\usepackage{libertinust1math}
\usepackage{pgfplots}
\pgfplotsset{compat=1.18}

\begin{document}
    \begin{tikzpicture}
    \begin{axis}[
        width=10cm,height=6cm,
        ymin=0, ymax=450,
        xtick={1,2,3,4,5},
        ytick={0,50,100,150,200,250,300,350,400,450},
        xticklabels={Jan., Feb., Mar., Apr., May.},
        ymajorgrids=true,
        axis line style={gray},
        tick style={draw=none}
    ]
    \addplot[
        color=blue!60!cyan,
        line width=1.5pt,
        mark=diamond*,
        mark size=3pt,
        scatter,scatter src=explicit symbolic,
        scatter/classes={
            a={cyan},
            b={magenta},
            c={teal},
            d={orange},
            e={violet}
        }
    ] table [meta=color] {
        x y color
        1 100 e
        2 200 d
        3 265 c
        4 400 b
        5 355 a
    };
    \end{axis}
    \end{tikzpicture}
\end{document}

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不建议用LaTeX的宏包来实现这种自动化。

IMHO...应该vibecoding一个简易的APP来记录更靠谱

先简化例子

基于简化问题的“自动化”代码

To-Do(我是不想做...)

Claim:这个解决方案存在一些依赖

Edit

Example A

Example B

Example C

Example D

提问请务必提供代码。否则别人要从零开始搓，这不合理。

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