%
%	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{calc}
%\usetikzlibrary{arrows.meta,patterns,angles,intersections,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}

%\setbeamercolor{frametitle}{use=structure,fg=white,bg=structure.fg}
%\setbeamercolor{palette primary}{use=structure,fg=white,bg=structure.fg}
%\setbeamercolor{frametitle}{bg=CUDOrange}
%\setbeamercolor{palette primary}{bg=CUDOrange}
%\setbeamercolor{frametitle}{bg=CUDCyan!25,fg=black}
%\setbeamercolor{palette primary}{bg=CUDCyan!25,fg=black}
%\setbeamercolor{frametitle}{bg=CUDCream!75,fg=black!80}
%\setbeamercolor{palette primary}{bg=CUDCream!75,fg=black!80}

\newcommand{\myfrac}[2]{\mathchoice%■ 修正 Oct 8,2023
	{%\fontsize{20}{20}\selectfont%	\displaystyle
		\frac{\raisebox{-.6ex}{\(#1\)}}{\raisebox{.4ex}{\(#2\)}}}%
	{\textstyle{\frac{#1}{#2}}}%	\textstyle
	{%\fontsize{13}{13}\selectfont%	\scriptstyle
		\frac{\raisebox{0ex}{\(#1\)}}{\raisebox{-.4ex}{\(#2\)}}}%
	{%\fontsize{11}{11}\selectfont%	\scriptscriptstyle
		\frac{\raisebox{0ex}{\(#1\)}}{\raisebox{-.4ex}{\(#2\)}}}%
	}


\begin{document}

\title{プレ高数学科}\author{gbb60166}

%　斜線（１桁を消す）
\def\sshasen#1{\kern-.5em\tikz[baseline=2pt]
	\draw[line width=2pt, #1](0.1,0.6)--(0.5,0.1);}

%　斜線（２桁を消す）
\def\ssshasen#1{\kern-1em\tikz[baseline=2pt]
	\draw[line width=2pt, #1](0,0.6)--(0.8,0.1);}

%■■■■■■■■■■■■　テスト領域　■■■■■■■■■■■■■


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

\begin{frame}[t]
\frametitle{分数のたし算ひき算}
\vskip-2zh
\large
\begin{eqnarray*}
\Bigl(-\,\myfrac{\,3\,}{4}\Bigr)
	-\Bigl(-\,\myfrac{\,1\,}{6}\Bigr) \pause & =& 
	-\hooklen{\,3\times3\,}{\myfrac{\,3\,}
		{\alt<3->{\textcolor{CUDRed}{4}}{4}}}
	{\fboxsep=0pt\colorbox{CUDCream}{\(+\)}}
	\hooklen{1\times2}{\myfrac{\,1\,}
		{\alt<3->{\textcolor{CUDRed}{6}}{6}}}\\[.5ex]\pause 
\lower0.8ex\vbox{\hsize=0.4\textwidth \noindent\footnotesize
	\textcolor{CUDRed}{$4$と$6$の最小公倍数は$12$なので分母を$12$にする}}
&=& -\,\myfrac{\,3\textcolor{CUDGreen}{\times 3}\,}{4\textcolor{CUDGreen}{\times 3}}
	+\myfrac{\,1\textcolor{CUDMagenta}{\times 2}\,}{6\textcolor{CUDMagenta}{\times 2}}\\[.5ex]
& =& -\hooklen{\,3\times3}{\myfrac{\,9\,}{\textcolor{CUDRed}{12}}}
	+\hooklen{1\times2}{\myfrac{\,2\,}{\textcolor{CUDRed}{12}}}
\end{eqnarray*}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\begin{frame}[t]
\frametitle{分数のたし算ひき算}
\vskip-2zh
\large
\begin{eqnarray*}
&=& -\,\myfrac{\,9\,}{12}+\myfrac{\,2\,}{12}\\[.5ex]\pause 
&=& \myfrac{\ -9+2\ }{12}\\[.5ex]
&=& \hooklen{\ -9+2\ }{\myfrac{\,-7\,}{12}}\text{\□答}
\end{eqnarray*}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\begin{frame}[t]
\frametitle{分数のかけ算}
\vskip-2zh
\large
\begin{eqnarray*}
\myfrac{\,3\,}{4}\times\myfrac{\,5\,}{12} &=& \pause
\hskip-0.8em
	{{}^{\displaystyle\textcolor{CUDRed}{1}}\atop{}}\myfrac{\,3\sshasen{CUDRed}\,}{4}\times
		\myfrac{\,5\,}{12\ssshasen{CUDRed}}{{}\atop{}_{\displaystyle\textcolor{CUDRed}{4}}} \\[.5ex]\pause
	& =& \myfrac{\,\textcolor{CUDRed}{1}\,}{4}\times
		\myfrac{\,5\,}{\textcolor{CUDRed}{4}} \\[.5ex]\pause
	& =&  \myfrac{\ \textcolor{CUDRed}{1}\times5\ }{4\times\textcolor{CUDRed}{4}}
		\quad =\myfrac{5}{16}\quad\text{\□答}
	\end{eqnarray*}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\begin{frame}[t]
\frametitle{分数のわり算}
	\vskip-2zh
\large
	\begin{eqnarray*}
\myfrac{\,9\,}{8}\alt<2->{\textcolor{CUDBlue}{{}\div\myfrac{\,3\,}{4}}}{{}\div\myfrac{\,3\,}{4}}\pause
&=& \myfrac{\,9\,}{8}\textcolor{CUDBlue}{{}\times\myfrac{\,4\,}{3}}\quad
	\vbox{\hsize=0.46\textwidth \footnotesize
	\textcolor{CUDBlue}{【$\div$を$\times$にして逆数にする】}}
\\[.5ex]\pause
&=& \hskip-0.8em
	{{}^{\displaystyle\textcolor{CUDRed}{3}}\atop{}_{\displaystyle\textcolor{CUDGreen}{2}}}\myfrac{\,9\sshasen{CUDRed}\,}{8\sshasen{CUDGreen}}\times
		\myfrac{\,4\sshasen{CUDGreen}\,}{3\sshasen{CUDRed}}{{}^{\displaystyle\textcolor{CUDGreen}{1}}\atop{}_{\displaystyle\textcolor{CUDRed}{1}}} \\[.5ex]\pause
	& =& \myfrac{\,\textcolor{CUDRed}{3}\,}{\textcolor{CUDGreen}{2}}\times
		\myfrac{\,\textcolor{CUDGreen}{1}\,}{\textcolor{CUDRed}{1}}
	\quad =\myfrac{\,3\,}{2}\quad\text{\□答}
	\end{eqnarray*}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%



\end{document}




