%
%	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}


\begin{document}

\title{プレ高数学科}\author{gbb60166}

\fboxsep=1pt


%■ 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=1mu plus 1mu 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
% mu は math units の省略で長さの単位

\def\ittan{\begin{tikzpicture}[scale=0.7,
	baseline={([yshift=-21pt] current bounding box.north)}]
\filldraw[very thick,draw=CUDBlue,fill=CUDYellow,rounded corners=1pt]
	(0,0)--++(0.8,0)--++(0,0.8)--++(-0.8,0)--cycle;
\draw(0.4,0.4) node[CUDBlue]
	{\fontsize{7pt}{7pt}\selectfont
		\shortstack{一旦\\[-2pt]停止}};
\end{tikzpicture}
}

%■■■■■■■■■■■■■　テスト領域　■■■■■■■■■■■■■■


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

\begin{frame}[t]
\frametitle{$2$つの数を解にもつ$2$次方程式の$1$つは？}
\( x=\text{\textcolor{CUDRed}{●}},\text{\textcolor{CUDGreen}{▲}} \)を
解にもつ$2$次方程式の$1$つは

\vskip1ex
\centerline{%
\begin{beamercolorbox}[wd=0.88\textwidth,ht=4ex,dp=2ex,shadow=true,
	rounded=true, center]{CUDCream}
\large
\( x^2-(\text{\textcolor{CUDRed}{●}}+\text{\textcolor{CUDGreen}{▲}})x
	+\text{\textcolor{CUDRed}{●}}\!\times\!
		\text{\textcolor{CUDGreen}{▲}}=0 \)
\end{beamercolorbox}
}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\begin{frame}[t]
\frametitle{$2$つの数を解にもつ$2$次方程式の$1$つは？}
こっちを覚えた方がいいと思うよ…

\vskip1ex
\centerline{%
\begin{beamercolorbox}[wd=0.88\textwidth,ht=4ex,dp=2ex,shadow=true,
	rounded=true, center]{CUDCream}
\large
\( x^2-\text{\colorbox{CUDBlue}{\textcolor{white}{たし算}}}\ x
	+\text{\colorbox{CUDMagenta}{\textcolor{white}{かけ算}}}=0 \)
\end{beamercolorbox}
}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\begin{frame}[t]
\frametitle{\( -7,\ 4 \)を解にもつ$2$次方程式の$1$つは？}
\vspace*{-5ex}
\pause
\begin{eqnarray*}
\text{\colorbox{CUDBlue}{\textcolor{white}{たし算}}}
	&=& (-7)+4 \\
&=& \hskip1em\textcolor{CUDBlue}{-3} \ \ittan
				\\[3ex]\pause
\text{\colorbox{CUDMagenta}{\textcolor{white}{かけ算}}}
	&=& (-7)\times4 \\
&=& \hskip1em\textcolor{CUDMagenta}{-28} \ \ittan
\end{eqnarray*}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\begin{frame}[t]
\frametitle{\( -7,\ 4 \)を解にもつ$2$次方程式の$1$つは？}
\centerline{%
\begin{minipage}[c]{0.88\textwidth}
\begin{beamercolorbox}[wd=\textwidth,ht=2.4ex,dp=1ex,shadow=true,
	rounded=true, center]{CUDCream}
\large
\( x^2-\text{\colorbox{CUDBlue}{\textcolor{white}{たし算}}}\ x
	+\text{\colorbox{CUDMagenta}{\textcolor{white}{かけ算}}}=0 \)
\end{beamercolorbox}
\end{minipage}
}

\bigskip
に当てはめて

\bigskip
\hspace*{6em}\( x^2-(\textcolor{CUDBlue}{-3})x
		+(\textcolor{CUDMagenta}{-28})=0 \)

\bigskip
\hspace*{4.1em}\□答\quad\( x^2\hooklen{{}-(-3)}{{}+3}x
			\hooklen{{}+(-28)}{{}-28}=0 \)
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\begin{frame}[t]
%■ \textwidth に ↓ 押し込むために細工をしています
\frametitle{\( 2{-}\sqrt{5},2{+}\sqrt{5} \)を解にもつ$2$次方程式の$1$つは？}
\vspace*{-5ex}
\pause
\begin{eqnarray*}
\text{\colorbox{CUDBlue}{\textcolor{white}{たし算}}} &=&
	(2-\sqrt{5})+(2+\sqrt{5}) \\
&=& \hooklen{(2-\sqrt{5})+(2+\sqrt{5})}{\textcolor{CUDBlue}{4} \ \ittan}
							\\[1ex]\pause
\text{\colorbox{CUDMagenta}{\textcolor{white}{かけ算}}} &=&
	(2-\sqrt{5})(2+\sqrt{5}) \\
&=& \qquad 2^2-\sqrt{5}^{\kern4pt 2}
	\qquad\textcolor{CUDRed}{\scriptscriptstyle (A+B)(A-B)=A^2-B^2} \\
&=& \qquad\hooklen{2^2}{4}-\hooklen{\sqrt{5}^{\kern4pt 2}}{5}\\
&=& \hskip3.2em \textcolor{CUDMagenta}{-1} \ \ittan
\end{eqnarray*}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\begin{frame}[t]
%■ \textwidth に ↓ 押し込むために細工をしています
\frametitle{\( 2{-}\sqrt{5},2{+}\sqrt{5} \)を解にもつ$2$次方程式の$1$つは？}
\centerline{%
\begin{minipage}[c]{0.88\textwidth}
\begin{beamercolorbox}[wd=\textwidth,ht=2.4ex,dp=1ex,shadow=true,
	rounded=true, center]{CUDCream}
\large
\( x^2-\text{\colorbox{CUDBlue}{\textcolor{white}{たし算}}}\ x
	+\text{\colorbox{CUDMagenta}{\textcolor{white}{かけ算}}}=0 \)
\end{beamercolorbox}
\end{minipage}
}

\bigskip
に当てはめて

\bigskip
\hspace*{6em}\( x^2-\textcolor{CUDBlue}{4}x+(\textcolor{CUDMagenta}{-1})=0 \)

\bigskip
\hspace*{4em}\□答\quad\( x^2-4x-1=0 \)
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\begin{frame}[t]
\frametitle{\( -3+i,-3-i \)を解にもつ$2$次方程式の$1$つは？}
\vspace*{-5ex}
\pause
\begin{eqnarray*}
\text{\colorbox{CUDBlue}{\textcolor{white}{たし算}}} &=&
	(-3+i)+(-3-i) \\
&=& \hooklen{(-3+i)+(-3-i)}{\textcolor{CUDBlue}{-6} \ \ittan} \\[1ex]\pause
\text{\colorbox{CUDMagenta}{\textcolor{white}{かけ算}}} &=&
	(-3+i)(-3-i) \\\pause
&=& \quad (-3)^2-\hooklen{(-1)}{\alt<5->{\textcolor{CUDGreen}{i^{\kern4pt 2}}}
		{i^{\kern4pt 2}}}\quad
	\textcolor{CUDRed}{\scriptscriptstyle (A+B)(A-B)=A^2-B^2} \\\pause
&=& \quad \hooklen{(-3)^2}{9}-(\textcolor{CUDGreen}{-1})\hskip2em
	\textcolor{CUDGreen}{\scriptstyle i^{\kern3pt 2}=-1 \text{です}}\\
&=& \hskip3.2em \textcolor{CUDMagenta}{10} \ \ittan
\end{eqnarray*}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\begin{frame}[t]
\frametitle{\( -3+i,-3-i \)を解にもつ$2$次方程式の$1$つは？}
\centerline{%
\begin{minipage}[c]{0.88\textwidth}
\begin{beamercolorbox}[wd=\textwidth,ht=2.4ex,dp=1ex,shadow=true,
	rounded=true, center]{CUDCream}
\large
\( x^2-\text{\colorbox{CUDBlue}{\textcolor{white}{たし算}}}\ x
	+\text{\colorbox{CUDMagenta}{\textcolor{white}{かけ算}}}=0 \)
\end{beamercolorbox}
\end{minipage}
}

\bigskip
に当てはめて

\bigskip
\hspace*{6em}\( x^2-(\textcolor{CUDBlue}{-6})x+\textcolor{CUDMagenta}{10}=0 \)

\bigskip
\hspace*{4em}\□答\quad\( x^2+6x+10=0 \)
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%










\end{document}

\textcolor{CUDRed}{
