%
%	gbb60166@gmail.com	https://unilab.gbb60166.jp/prekou/prekou.htm
%
% aspectratio= は 1610, 169, 149, 54, 32 の中から選べる（省略時は 43）
% C:\texlive\2024\texmf-dist\tex\latex\beamer\beamer.cls
%\documentclass[20pt,dvipdfmx,usepdftitle=false,hyperref={pdfpagemode=FullScreen},aspectratio=169]{beamer}
%\documentclass[20pt,dvipdfmx,usepdftitle=false,hyperref={pdfstartview={XYZ null null 8.00}},aspectratio=169]{beamer}
\documentclass[20pt,dvipdfmx,usepdftitle=false,aspectratio=169]{beamer}
% pdfの栞の字化けを防ぐ
%\AtBeginDvi{\special{pdf:tounicode EUC-UCS2}}
% テーマ
\usetheme{Copenhagen}
% navi. symbolsは目立たないが，dvipdfmxを使うと機能しないので非表示に
\setbeamertemplate{navigation symbols}{} 
\usepackage{bxdpx-beamer,pxjahyper,minijs}
%\usepackage{graphicx}
%\usepackage{tkokugo,furikana,tsayusen,shiika,sfkanbun,jdkintou,plext}
\usepackage{type1cm}
\usepackage[deluxe]{otf}
%\usepackage{tikzsymbols}
%\usepackage[dvipdfmx]{graphicx}%
\def\pgfsysdriver{pgfsys-dvipdfmx.def}%（graphicxパッケージを使用しない場合はこの行を有効に）
%\def\pgfsysdriver{pgfsys-dvips.def}%デフォルト
%\usepackage[e]{esvect}
\usepackage{tikz}%（これで、pgfとpgfforが読み込まれます。）
%\usepackage{tikz-3dplot}
\usetikzlibrary{intersections}
%\usetikzlibrary{calc,arrows.meta,patterns,angles,backgrounds}
%\usepackage{animate}
%\usepackage{pgfplots}
%\pgfplotsset{compat=newest}
%\pgfplotsset{compat=newest, every axis/.append style={line width=1pt}}
%\PassOptionsToPackage{dvipdfmx}{graphicx}
\nofiles

\hypersetup{% Jul 18 2023
	pdftitle={プレ高数学科（LaTeX Beamer で汎用PDFプレゼンを作る）},
	pdfauthor={gbb60166@gmail.com},
	pdfsubject={https://unilab.gbb60166.jp/prekou/prekou.htm}
	}

% フォントはお好みで
%\usepackage{txfonts}

\mathversion{bold}
\renewcommand{\familydefault}{\sfdefault}
\renewcommand{\seriesdefault}{bx}
\renewcommand{\kanjifamilydefault}{\gtdefault}
\renewcommand{\kanjiseriesdefault}{bx}
\setbeamerfont{title}{size=\normalsize,series=\bfseries}
\setbeamerfont{frametitle}{size=\normalsize,series=\bfseries}
\setbeamertemplate{frametitle}[default][center]
\usefonttheme{professionalfonts}

% 参考にしたURL
% http://windom.phys.hirosaki-u.ac.jp/fswiki/wiki.cgi?page=LaTeX+Beamer%A4%C7%A5%D7%A5%EC%A5%BC%A5%F3%A5%C6%A1%BC%A5%B7%A5%E7%A5%F3

\newcommand{\Slash}[1]{\ooalign{\hfil\kern-3pt／\hfil\crcr$#1$}}
\everymath{\displaystyle}

\newcommand{\maruwaku}[1]{\begin{tikzpicture}[scale=0.7, baseline={([yshift=-22pt] current bounding box.north)}]
\filldraw[color=CUDBlue, line width=1pt, rounded corners=2pt] (-0.1,0)--(2.1,0)--(2.1,1.1)--(-0.1,1.1)--cycle;
\draw(1,0.5) node[white]{#1};
\end{tikzpicture}
}

\setbeamersize{text margin left=5mm,text margin right=5mm}
\fboxrule=0.8pt

\makeatletter
\newcommand{\hooklen}[2]{\settowidth{\@tempdima}{\(#1\)}
%\advance\@tempdima by.3ex
% ↑ 数式モードで式の前後に入るスペースを制御したかったが、
%    難しいのでやめた。段々難解なコードになっているのでやめた方がよい？
\hbox to\@tempdima{\hfil \(#2\)\hfil}}
%■等号付き不等号 by 美文書作成入門
\newcommand{\myleqq}{\mathrel{\mathpalette\gl@align<}}
\newcommand{\mygeqq}{\mathrel{\mathpalette\gl@align>}}
\newcommand{\gl@align}[2]{\lower.6ex\vbox{\baselineskip\z@skip\lineskip\z@
	\ialign{$\m@th#1\hfil##\hfil$\crcr#2\crcr=\crcr}}}
\makeatother

% カラーユニバーサルデザインを調べたつもりだがあまり自信がありません
% http://www.fukushihoken.metro.tokyo.jp/kiban/machizukuri/kanren/color.files/colorudguideline.pdf
% http://jfly.iam.u-tokyo.ac.jp/colorset/

% ■ アクセントカラー小面積を目立たせる高彩度色
\definecolor{CUDRed}{RGB}{255,75,0}
\definecolor{CUDGreen}{RGB}{3,175,122}
\definecolor{CUDBlue}{RGB}{0,90,255}
\definecolor{CUDCyan}{RGB}{77,196,255}
\definecolor{CUDMagenta}{RGB}{153,0,153}
\definecolor{CUDYellow}{RGB}{255,241,0}
\definecolor{CUDBrown}{RGB}{128,64,0}

\definecolor{CUDOrange}{RGB}{246,170,0}

% ■ ベースカラー広い面積の塗り分けに用いる低・中彩度色
\definecolor{CUDPink}{RGB}{255,202,191}
\definecolor{CUDBrightGreen}{RGB}{119,217,168}
\definecolor{CUDLime}{RGB}{216,242,85}
\definecolor{CUDCream}{RGB}{255,255,128}
\definecolor{CUDBrightCyan}{RGB}{191,228,255}
%\definecolor{CUD}{RGB}{}%

\setbeamercolor{CUDBrightGreen}{fg=black,bg=CUDBrightGreen!50}
\setbeamercolor{CUDBrightCyan}{fg=black,bg=CUDBrightCyan}
\setbeamercolor{CUDCream}{fg=black,bg=CUDCream!75}



\begin{document}

\title{プレ高数学科}\author{gbb60166}

%■ 本文と数式モードの間に挿入される空白スペース
%\mathsurround=-1pt
%■ \( \log\log \)でlogとlogの間に挿入される細スペース（省略形は \,）
%\thinmuskip=3mu
%■ \( a+b \)で+の前後に挿入される中スペース（省略形は \>）
%\medmuskip=2mu plus 1mu minus 1mu
\medmuskip=2mu minus 1mu
%■ \( x=5 \)で=の前後に挿入される太スペース（省略形は \;）
%\thickmuskip=5mu plus 5mu
\thickmuskip=3mu plus 2mu
% mu は math units の省略で長さの単位

\newcommand{\myparallel}{\,\raisebox{.3ex}{\small /\kern-.2em/}\,}
\newcommand{\hi}{\,\raisebox{0.2ex}{$:$}\,}

%■■■■■■■■■■■■■　テスト領域　■■■■■■■■■■■■■■


%\end{document}
%■■■■■■■■■■■■■　完成品　■■■■■■■■■■■■■■

\begin{frame}[t]
\frametitle{平行線と比}
\begin{tikzpicture}[rotate=0, scale=1.4,>=stealth,very thick,
	baseline={( [yshift=-36pt] current bounding box.north)}]
%\draw[help lines](-0.3,-1.3) grid (4.3,3.3);
\useasboundingbox(-0.3,-1.3) grid (4.3,3.3);

\scriptsize
\draw[name path=linea](0,2.8) node[above]{$\ell$}--++(4,0);
\draw[name path=lineb](0,1.2) node[above]{$m$}--++(4,0);
\draw[name path=linec](0,0) node[above]{$n$}--++(4,0);

\draw[name path=linel](2,3.1)--(0.7,-0.3);
\draw[name path=linel'](3,3.1)--(3.4,-0.3);

\path[name intersections={of=linea and linel, by=A}];
\path[name intersections={of=lineb and linel, by=B}];
\path[name intersections={of=linec and linel, by=C}];
\path[name intersections={of=linea and linel', by=A'}];
\path[name intersections={of=lineb and linel', by=B'}];
\path[name intersections={of=linec and linel', by=C'}];

%\coordinate[label=above left:\textrm{A}](A) at (A);
%\coordinate[label=above left:\textrm{B}](B) at (B);
%\coordinate[label=above left:\textrm{C}](C) at (C);
%\coordinate[label=above right:\(\textrm{A}'\)](A') at (A');
%\coordinate[label=above right:\(\textrm{B}'\)](B') at (B');
%\coordinate[label=above right:\(\textrm{C}'\)](C') at (C');
\coordinate(A) at (A);
\coordinate(B) at (B);
\coordinate(C) at (C);
\coordinate(A') at (A');
\coordinate(B') at (B');
\coordinate(C') at (C');

\draw[CUDCyan,->,line width=3pt](B)--
		node[pos=0.5,xshift=-1em]{\ajMaru{2}}(C);
	\draw[CUDCyan,->,line width=3pt](B')--
		node[pos=0.5,xshift=1em]{\ajMaru{4}}(C');
\draw[CUDRed,->,line width=3pt](A)--
		node[pos=0.5,xshift=-1em]{\ajMaru{1}}(B);
\draw[CUDRed,->,line width=3pt](A')--
		node[pos=0.5,xshift=1em]{\ajMaru{3}}(B');
\end{tikzpicture}
\hfill
\begin{minipage}[t]{0.55\textwidth}
直線\( \ell,m,n \)が平行ならば\\

\quad
\(\textcolor{CUDRed}{\text{\ajMaru{1}}}\hi
	\textcolor{CUDCyan}{\text{\ajMaru{2}}}
=\textcolor{CUDRed}{\text{\ajMaru{3}}}\hi
	\textcolor{CUDCyan}{\text{\ajMaru{4}}}\)\\

{\footnotesize$($\(\textcolor{CUDRed}{\text{\ajMaru{1}}}\hi
	\textcolor{CUDRed}{\text{\ajMaru{3}}}
=\textcolor{CUDCyan}{\text{\ajMaru{2}}}\hi
	\textcolor{CUDCyan}{\text{\ajMaru{4}}}\)でもよい$)$}
\end{minipage}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\begin{frame}[t]
\frametitle{例題}
\begin{tikzpicture}[rotate=0, scale=1.4,>=stealth,very thick,
	baseline={( [yshift=-36pt] current bounding box.north)}]
%\draw[help lines](-0.3,-1.3) grid (4.3,3.3);
\useasboundingbox(-0.3,-1.3) grid (4.3,3.3);

\scriptsize
\draw[name path=linea](0,3) node[above]{$\ell$}--++(4,0);
\draw[name path=lineb](0,1.8) node[above]{$m$}--++(4,0);
\draw[name path=linec](0,0) node[above]{$n$}--++(4,0);

\draw[name path=linel](1.2,3.3)--(0.7,-0.3);
\draw[name path=linel'](1.8,3.3)--(3.8,-0.3);

\path[name intersections={of=linea and linel, by=A}];
\path[name intersections={of=lineb and linel, by=B}];
\path[name intersections={of=linec and linel, by=C}];
\path[name intersections={of=linea and linel', by=A'}];
\path[name intersections={of=lineb and linel', by=B'}];
\path[name intersections={of=linec and linel', by=C'}];

%\coordinate[label=above left:\textrm{A}](A) at (A);
%\coordinate[label=above left:\textrm{B}](B) at (B);
%\coordinate[label=above left:\textrm{C}](C) at (C);
%\coordinate[label=above right:\(\textrm{A}'\)](A') at (A');
%\coordinate[label=above right:\(\textrm{B}'\)](B') at (B');
%\coordinate[label=above right:\(\textrm{C}'\)](C') at (C');
\coordinate(A) at (A);
\coordinate(B) at (B);
\coordinate(C) at (C);
\coordinate(A') at (A');
\coordinate(B') at (B');
\coordinate(C') at (C');

\draw[dashed,semithick](A) to[out=215,in=130]
	node[inner sep=1pt,fill=white,xshift=-0.5em]{\(2\textrm{cm}\)}(B);
\draw[dashed,semithick](B) to[out=215,in=130]
	node[inner sep=1pt,fill=white,xshift=-0.5em]{\(3\textrm{cm}\)}(C);
\draw[dashed,semithick](A') to[out=-20,in=80]
	node[inner sep=1pt,fill=white,xshift=1em]{\(2.4\textrm{cm}\)}(B');
\draw[dashed,semithick](B') to[out=-20,in=80]
	node[inner sep=1pt,fill=white,xshift=.7em]{\(x\,\textrm{cm}\)}(C');

\draw(2,-0.5)
	node{\(\ell\,\raisebox{.1ex}{/\kern-.2em/}\,m
		\,\raisebox{.1ex}{/\kern-.2em/}\,n\)};
\end{tikzpicture}
\pause
\hfill
\begin{minipage}[t]{0.5\textwidth}
\vskip-4ex
\begin{eqnarray*}
2\hi3 &=& 2.4\hi x\\
2\times x &=& 3\times2.4 \\
\hooklen{2\hi3}{2x} &=& \hooklen{2.4\hi x}{7.2}\\
x &=& 3.6\,\textrm{cm}\ \text{\□答}
\end{eqnarray*}
\end{minipage}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%





\end{document}

\textcolor{CUDRed}{

