%
%	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:\w32tex\share\texmf\tex\latex\beamer\beamer.cls
%\documentclass[20pt,dvipdfmx,hyperref={pdfpagemode=FullScreen},aspectratio=169]{beamer}
%\documentclass[20pt,dvipdfmx,hyperref={pdfstartview={XYZ null null 8.00}},aspectratio=169]{beamer}
\documentclass[20pt,dvipdfmx,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,patterns}
%\usetikzlibrary{angles,intersections,arrows.meta,patterns,through,backgrounds}
%\usepackage{animate}
%\usepackage{pgfplots}
%\pgfplotsset{compat=newest}
%\pgfplotsset{compat=newest, every axis/.append style={line width=1pt}}
%\PassOptionsToPackage{dvipdfmx}{graphicx}
\nofiles

% フォントはお好みで
%\usepackage{txfonts}

\mathversion{bold}
\renewcommand{\familydefault}{\sfdefault}
% ■ 以前は{\bf }とかしてましたが \seriesdefault で一気に
%    変更出来ることがわかりました。2017/3/3
%    ソースも書き換えるつもりですが、見落として{\bf }が
%    残ったままになるかもしれません。
\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}

\def\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
\def\hooklen#1#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}}
\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{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
%■ \( x=5 \)で=の前後に挿入される太スペース（省略形は \;）
%\thickmuskip=5mu plus 5mu
\thickmuskip=2mu plus 2mu
% 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{面積を求めなさい}
\begin{minipage}[t]{0.4\textwidth}
\begin{tikzpicture}[scale=5,thick,>=stealth,inner sep=0pt,
	baseline={([yshift=-24pt] current bounding box.north)}]
\draw(0,0) arc (180:90:1cm);
\draw(1,0) arc (0:90:1cm);
\draw(0,0) rectangle (1,1);
\small
\draw[dashed](0,0) to[out=120,in=240]
	node[inner sep=2pt,fill=white]{$10$} (0,1);
\draw[dashed](0,1) to[out=30,in=150]
	node[inner sep=2pt,fill=white]{$10$} (1,1);
\filldraw[preaction={fill,CUDPink},pattern=north east lines]
	(0,0)--(1,0)--($ (0.5,{0.5*sqrt(3)}) $)--cycle;

\visible<2-3>{\draw[CUDBlue,ultra thick](0.5,0) circle (0.5pt)
			($ (1/4,{0.25*sqrt(3)}) $) circle (0.5pt)
			($ (3/4,{0.25*sqrt(3)}) $) circle (0.5pt);
	}
\footnotesize
\color{CUDBlue}
\visible<3->{\draw(30:0.2) node[fill=white]{$60^\circ$}
		(150:0.2)+(1,0) node[fill=white]{$60^\circ$};
	\draw[ultra thick](0.1,0) arc(0:60:0.1)
			(0.9,0) arc(180:120:0.1);
	}
\visible<4>{\draw[ultra thick,line join=round](0,0)--(0.5,0)
			--($ (0.5,{0.5*sqrt(3)}) $)--cycle; 
	}
\visible<4-5>{\draw[black](1/4,-0.1)
			node[fill=CUDCream]{比\,\(1\)}
		(0.16,0.5)
			node[fill=CUDCream]{比\,\(2\)}
		(0.67,0.58)
			node[fill=CUDCream]{比\,\(\sqrt{3}\)};
	}
\visible<5->{\draw[<->,ultra thick](0,0)--(0.5,0) 
		node[midway,fill=white,inner sep=1pt]{$5$};
	\draw[<->,ultra thick](0.5,0)--($ (0.5,{0.5*sqrt(3)}) $) 
		node[midway,fill=white,inner sep=1pt]{$5\sqrt{3}$};
	\draw(0.5,0.1)--(0.6,0.1)--(0.6,0);
	}
\visible<6->{\draw[CUDGreen,<->,line width=3pt](0,0)--(1,0) 
		node[midway,fill=white,inner sep=2pt]{$10$};
	}
\end{tikzpicture}
\end{minipage}
%
\hfill
%
\begin{minipage}[t]{0.55\textwidth}
\only<4>{\( 1:2:\sqrt{3} \)の三角形になる。}
\visible<6->{\( \text{底辺}\times\text{高さ}\div2 \)より\\}
\visible<7->{求める面積は\\[2ex]
	\( 10\times5\sqrt{3}\div2 \)\\[1ex]}
\visible<8->{\hspace*{10ex}\( =25\sqrt{3} \)\quad\□答}
\end{minipage}
\end{frame}
%%%%%%%%%%%%%%%%%%%☆★○●◎◇◆%%%%%%%%%%%%%%%%%%%%%

\begin{frame}[t]
\frametitle{面積を求めなさい}
\vskip-3ex
\begin{tikzpicture}[scale=5,thick,inner sep=2pt,
		baseline=(current bounding box.north)]
\filldraw[preaction={fill,CUDPink},pattern=north east lines]
	(0,0.5) arc (90:0:0.5) arc (180:90:0.5)
	 arc (270:180:0.5) arc (0:-90:0.5);
\draw(0,0) rectangle (1,1);
\small
\draw[dashed](0,0) to[out=120,in=240] node[fill=white]{$5$} (0,0.5)
	to[out=120,in=240] node[fill=white]{$5$} (0,1)
	to[out=30,in=150] node[fill=white]{$5$} (0.5,1)
	to[out=30,in=150] node[fill=white]{$5$} (1,1);
\end{tikzpicture}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\begin{frame}[t]
\frametitle{面積を求めなさい}
\begin{tikzpicture}[scale=2,thick,
	baseline={([yshift=-5ex] current bounding box.north)}]
	\useasboundingbox(-0.3,-0.3) rectangle (1.3,1.3);
	\filldraw[fill=CUDBrightCyan](0,0) rectangle (1,1);
	\filldraw[preaction={fill,CUDPink},pattern=north east lines]
		(0,0.5) arc (90:0:0.5) arc (180:90:0.5)
		 arc (270:180:0.5) arc (0:-90:0.5);
\end{tikzpicture}
\( \hskip1ex = \hskip1ex \)
\begin{tikzpicture}[scale=2,thick,
	baseline={([yshift=-5ex] current bounding box.north)}]
	\useasboundingbox(-0.3,-0.3) rectangle (1.3,1.3);
	\filldraw[preaction={fill,CUDPink},pattern=north east lines]
		(0,0) rectangle (1,1);
	\footnotesize
	\draw[dashed](0,0) to[out=125,in=235]
		node[inner sep=0pt, fill=white]{$10$} (0,1)
	to[out=30,in=150]
		node[inner sep=2pt, fill=white]{$10$} (1,1);
\end{tikzpicture}
\( \hskip1ex - \hskip1ex \)
\begin{tikzpicture}[scale=2,thick,
	baseline={([yshift=-5ex] current bounding box.north)}]
	\useasboundingbox(-0.3,-0.3) rectangle (1.3,1.3);
	\filldraw[fill=CUDBrightCyan](0.5,0.5) circle (0.5);
	\draw[semithick](0,0.5)--(1,0.5)
		(0.5,0)--(0.5,1);
	\draw[dashed](0,0.5) to[out=-45,in=225]
		node[inner sep=1pt,fill=white]{\footnotesize $5$}(0.5,0.5);
\end{tikzpicture}

\pause
\vskip6pt
\( \hspace*{11.5ex} = \makebox[12ex]{\( 100 \)} - %
	\makebox[12ex]{\( \pi\!\times\!5^2 \)} \)

\pause
\vskip18pt
\( \hspace*{11.5ex} = \hskip3em 100-25\pi \)\quad\□答
\end{frame}
%%%%%%%%%%%%%%%%%%%☆★○●◎◇◆%%%%%%%%%%%%%%%%%%%%%

\begin{frame}[t]
\frametitle{面積を求めなさい}
\vskip-3ex
\begin{tikzpicture}[scale=5,thick,inner sep=2pt,
	baseline=(current bounding box.north)]
\filldraw[preaction={fill,CUDPink},pattern=north east lines]
	(0,0)--(0.5,0) arc (180:90:0.5)
		--(1,1)--(0.5,1) arc (0:-90:0.5)--cycle;
\draw(0,0) rectangle  (1,1);
\small
\draw[dashed](0,0) to[out=120,in=240] node[fill=white]{$5$} (0,0.5)
	to[out=120,in=240] node[fill=white]{$5$} (0,1)
	to[out=30,in=150] node[fill=white]{$5$} (0.5,1)
	to[out=30,in=150] node[fill=white]{$5$} (1,1);
\end{tikzpicture}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\begin{frame}[t]
\frametitle{面積を求めなさい}
\begin{tikzpicture}[scale=2,thick,
	baseline={([yshift=-5ex] current bounding box.north)}]
	\useasboundingbox(-0.3,-0.3) rectangle (1.3,1.3);
	\filldraw[CUDBrightCyan,draw=black](0,0) rectangle (1,1);
	\filldraw[preaction={fill,CUDPink},pattern=north east lines]
		(0,0)--(0.5,0) arc (180:90:0.5)
			--(1,1)--(0.5,1) arc (0:-90:0.5)--cycle;
\end{tikzpicture}
\( \hskip1ex = \hskip1ex \)
\begin{tikzpicture}[scale=2,thick,
	baseline={([yshift=-5ex] current bounding box.north)}]
	\useasboundingbox(-0.3,-0.3) rectangle (1.3,1.3);
	\filldraw[preaction={fill,CUDPink},pattern=north east lines]
		(0,0) rectangle (1,1);
	\footnotesize
	\draw[dashed](0,0) to[out=125,in=235]
		node[inner sep=0pt, fill=white]{$10$} (0,1)
		to[out=30,in=150] node[inner sep=2pt,fill=white]{$10$} (1,1);
\end{tikzpicture}
\( \hskip1ex - \hskip1ex \)
\begin{tikzpicture}[scale=2,thick,
	baseline={([yshift=-5ex] current bounding box.north)}]
	\useasboundingbox(-0.3,-0.3) rectangle (1.3,1.3);
	\filldraw[CUDBrightCyan,draw=black](0,0.5)--(1,0.5) arc (0:180:0.5);
	\draw[semithick](0.5,1)--(0.5,0.5);
	\draw[dashed](0,0.5) to[out=-45,in=225]
		node[inner sep=0pt, fill=white]{\footnotesize $5$} (0.5,0.5);
\end{tikzpicture}

\pause
\vskip-6pt
\( \hspace*{11.5ex} = \makebox[12ex]{\( 100 \)} - %
	\makebox[12ex]{\( \dfrac{\pi\!\times\!5^2}{2} \)} \)

\pause
%\vskip18pt
\( \hspace*{11.5ex} = \hskip3em
	100-\dfrac{25\pi}{2} \)\quad\□答
\end{frame}
%%%%%%%%%%%%%%%%%%%☆★○●◎◇◆%%%%%%%%%%%%%%%%%%%%%

\begin{frame}[t]
\frametitle{面積を求めなさい}
\vskip-3ex
\begin{tikzpicture}[scale=6,thick,inner sep=1pt,
		baseline=(current bounding box.north)]
\filldraw[preaction={fill,CUDPink},pattern=north east lines]
	(0.5,0.5) circle (0.5);
\filldraw[fill=white](1/3,0.5) circle (1/3)
		(5/6,0.5) circle (1/6);
\draw(0,0.5)--(1,0.5);
\fill(0.5,0.5) circle (0.3pt);
\small
\draw[dashed](0,0.5)
	to[out=30,in=150] node[fill=white]{$20$}(2/3,0.5)
	to[out=30,in=150] node[fill=white]{$10$}(1,0.5);
\end{tikzpicture}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\begin{frame}[t]
\frametitle{面積を求めなさい}
\begin{tikzpicture}[scale=2,thick,
	baseline={([yshift=-5ex] current bounding box.north)}]
	\useasboundingbox(-0.1,-0.1) rectangle (1.1,1.1);
	\filldraw[preaction={fill,CUDPink},pattern=north east lines]
		(0.5,0.5) circle (0.5);
	\filldraw[fill=CUDBrightCyan](1/3,0.5) circle (1/3)
				(5/6,0.5) circle (1/6);
	\draw[semithick](0,0.5)--(1,0.5);
\end{tikzpicture}
\( \hskip1ex = \hskip1ex \)
\begin{tikzpicture}[scale=2,thick,
	baseline={([yshift=-5ex] current bounding box.north)}]
	\useasboundingbox(-0.1,-0.1) rectangle (1.1,1.1);
	\filldraw[preaction={fill,CUDPink},pattern=north east lines]
		(0.5,0.5) circle (0.5);
	\fill(0.5,0.5) circle (1pt);
	\draw[dashed](0,0.5) to[out=45,in=135]
		node[inner sep=1pt,fill=white]{\tiny $15$} (0.5,0.5);
\end{tikzpicture}
\( \hskip1ex - \hskip1ex \)
\begin{tikzpicture}[scale=2,thick,
	baseline={([yshift=-5ex] current bounding box.north)}]
	\useasboundingbox(-0.1,-0.1) rectangle (1.1,1.1);
	\filldraw[fill=CUDBrightCyan](0.5,0.5) circle (1/3);
	\fill(0.5,0.5) circle (1pt);
	\draw[dashed](1/6,0.5) to[out=45,in=135]
		node[inner sep=1pt, fill=white]{\tiny $10$} (0.5,0.5);
\end{tikzpicture}
\( \hskip1ex - \hskip1ex \)
\begin{tikzpicture}[scale=2,thick,
	baseline={([yshift=-5ex] current bounding box.north)}]
	\useasboundingbox(-0.1,-0.1) rectangle (1.1,1.1);
	\filldraw[fill=CUDBrightCyan](0.5,0.5) circle (1/6);
	\fill(0.5,0.5) circle (1pt);
	\draw[dashed](1/3,0.5) to[out=45,in=135]
		node[inner sep=1pt, fill=white]{\tiny $5$} (0.5,0.5);
\end{tikzpicture}

\pause
\vskip6pt
\( \hspace*{9ex} = \makebox[9ex]{\( \pi\!\times\!15^2 \)} - %
	\makebox[9ex]{\( \pi\!\times\!10^2 \)} - %
	\makebox[9ex]{\( \pi\!\times\!5^2 \)}  \)

\pause
\vskip6pt
\( \hspace*{9ex} = \makebox[9ex]{\( 225\pi \)} - %
	\makebox[9ex]{\( 100\pi \)} - %
	\makebox[9ex]{\( 25\pi \)}  \)

\pause
\vskip6pt
\( \hspace*{9ex} = \hskip2em 100\pi \)\quad\□答
\end{frame}
%%%%%%%%%%%%%%%%%%%☆★○●◎◇◆%%%%%%%%%%%%%%%%%%%%%

\begin{frame}[t]
\frametitle{面積を求めなさい}
\vskip-3ex
\begin{tikzpicture}[scale=5,thick,inner sep=2pt,
	baseline=(current bounding box.north)]
\filldraw[preaction={fill,CUDPink},pattern=north east lines]
	(0,0) arc (-90:0:1) arc (90:180:1);
\draw(0,0) rectangle (1,1);
\small
\draw[dashed](0,0) to[out=120,in=240] node[fill=white]{$10$} (0,1)
	to[out=30,in=150] node[fill=white]{$10$} (1,1);
\end{tikzpicture}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\begin{frame}[t]
\frametitle{面積を求めなさい}
\begin{tikzpicture}[scale=2,thick,
	baseline={([yshift=-5ex] current bounding box.north)}]
	\useasboundingbox(-0.3,-0.3) rectangle (1.3,1.3);
	\filldraw[fill=CUDBrightCyan](0,0) rectangle (1,1);
	\filldraw[preaction={fill,CUDPink},pattern=north east lines]
		(0,0) arc (-90:0:1) arc (90:180:1);
\end{tikzpicture}
\( \hskip1ex = \hskip1ex \)
\begin{tikzpicture}[scale=2,thick,
	baseline={([yshift=-5ex] current bounding box.north)}]
	\useasboundingbox(-0.3,-0.3) rectangle (1.3,1.3);
	\filldraw[preaction={fill,CUDPink},pattern=north east lines]
	(0,0) rectangle (1,1);
\end{tikzpicture}
$\hskip1ex - \hskip1ex 2\times$
\begin{tikzpicture}[scale=2,thick,
	baseline={([yshift=-5ex] current bounding box.north)}]
	\useasboundingbox(-0.3,-0.3) rectangle (1.3,1.3);
	\filldraw[fill=CUDBrightCyan](0,0) arc (180:90:1)--(0,1)--cycle;
\end{tikzpicture}

\pause
\hrule height1pt width0.96\textwidth

\begin{tikzpicture}[scale=2,thick,
	baseline={([yshift=-5ex] current bounding box.north)}]
	\useasboundingbox(-0.3,-0.3) rectangle (1.3,1.3);
	\filldraw[fill=CUDBrightCyan](0,0) arc (180:90:1)--(0,1)--cycle;
\end{tikzpicture}
\( \hskip1ex = \hskip1ex \)
\begin{tikzpicture}[scale=2,thick,
	baseline={([yshift=-5ex] current bounding box.north)}]
	\useasboundingbox(-0.3,-0.3) rectangle (1.3,1.3);
	\filldraw[fill=CUDBrightGreen](0,0) rectangle (1,1);
\end{tikzpicture}
\( \hskip1ex - \hskip1ex \)
\begin{tikzpicture}[scale=2,thick,
	baseline={([yshift=-5ex] current bounding box.north)}]
	\useasboundingbox(-0.3,-0.3) rectangle (1.3,1.3);
	\filldraw[fill=CUDLime](0,0) arc (180:90:1)--(1,0)--cycle;
\end{tikzpicture}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\begin{frame}[t]
\frametitle{面積を求めなさい}
%\hspace*{3ex}
\begin{tikzpicture}[scale=2,thick,
	baseline={([yshift=-5ex] current bounding box.north)}]
	\useasboundingbox(-0.3,-0.3) rectangle (1.3,1.3);
	\filldraw[fill=CUDBrightCyan](0,0) arc (180:90:1)--(0,1)--cycle;
\end{tikzpicture}
\( \hskip1ex = \hskip1ex \)
\begin{tikzpicture}[scale=2,thick,
	baseline={([yshift=-5ex] current bounding box.north)}]
	\useasboundingbox(-0.3,-0.3) rectangle (1.3,1.3);
	\filldraw[fill=CUDBrightGreen](0,0) rectangle (1,1);
	\scriptsize
	\draw[dashed](0,0) to[out=120,in=240]
		node[inner sep=0pt, fill=white]{$10$} (0,1)
	to[out=30,in=150] node[inner sep=2pt, fill=white]{$10$} (1,1);
\end{tikzpicture}
\( \hskip1ex - \hskip1ex \)
\begin{tikzpicture}[scale=2,thick,
	baseline={([yshift=-5ex] current bounding box.north)}]
	\useasboundingbox(-0.3,-0.3) rectangle (1.3,1.3);
	\filldraw[fill=CUDLime](0,0) arc (180:90:1)--(1,0)--cycle;
	\draw[dashed](0,0) to[out=-30,in=210]
		node[inner sep=2pt, fill=white]{\scriptsize $10$} (1,0);
\end{tikzpicture}

\pause
\vskip6pt
\( \hspace*{11.5ex} = \makebox[12.5ex]{\( 100 \)} - %
	\makebox[12ex]{\( \dfrac{\,\pi\!\times\!10^2\,}{4} \)} \)

\pause
\vskip9pt
\( \hspace*{11.5ex} = \hskip3em
	\textcolor{CUDBlue}{100 -  25\pi} \)\quad\ittan
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\begin{frame}[t]
\frametitle{面積を求めなさい}
\begin{tikzpicture}[scale=2,thick,
	baseline={([yshift=-5ex] current bounding box.north)}]
	\useasboundingbox(-0.3,-0.3) rectangle (1.3,1.3);
\filldraw[fill=CUDBrightCyan](0,0) rectangle (1,1);
\filldraw[preaction={fill,CUDPink},pattern=north east lines]
	(0,0) arc (-90:0:1) arc (90:180:1);
\end{tikzpicture}
\( \hskip1ex = \hskip1ex \)
\begin{tikzpicture}[scale=2,thick,
	baseline={([yshift=-5ex] current bounding box.north)}]
	\useasboundingbox(-0.3,-0.3) rectangle (1.3,1.3);
	\filldraw[preaction={fill,CUDPink},pattern=north east lines]
		(0,0) rectangle (1,1);
	\scriptsize
	\draw[dashed](0,0) to[out=120,in=240]
		node[inner sep=0pt, fill=white]{$10$} (0,1)
	to[out=30,in=150] node[inner sep=2pt, fill=white]{$10$} (1,1);
\end{tikzpicture}
$\hskip1ex - \hskip1ex 2\times$
\begin{tikzpicture}[scale=2,thick,
	baseline={([yshift=-5ex] current bounding box.north)}]
	\useasboundingbox(-0.3,-0.3) rectangle (1.3,1.3);
	\filldraw[fill=CUDBrightCyan](0,0) arc (180:90:1)--(0,1)--cycle;
\end{tikzpicture}

\pause
\vskip6pt
\( \hspace*{11.5ex} = \makebox[10ex]{\( 100 \)}-2\,(
	\textcolor{CUDBlue}{100-25\pi} ) \)

\pause
\vskip6pt
\( \hspace*{11.5ex} = \makebox[10ex]{\( 100 \)}-200+50\pi \)

\pause
\vskip6pt
\( \hspace*{11.5ex} = \hskip2em 50\pi-100 \)\quad\□答
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\begin{frame}[t]
\frametitle{一般化すると下記のようになる}
\vskip-3ex
\begin{tikzpicture}[scale=5,thick,inner sep=2pt,
	baseline=(current bounding box.north)]
\filldraw[preaction={fill,CUDPink},pattern=north east lines]
	(0,0) arc (-90:0:1) arc (90:180:1);
\draw(0,0) rectangle  (1,1);
\small
\draw[dashed](0,0) to[out=120,in=240] node[fill=white]{$x$} (0,1)
	to[out=30,in=150] node[fill=white]{$x$} (1,1);
%\draw(2,0.7) node{\large\( \dfrac{\ x^2}{2}\,\pi-x^2 \)};
\draw(2,0.7) node{\large\( \left(\dfrac{\,\pi\,}{2}\, -1 \right)x^2 \)};
\end{tikzpicture}
\end{frame}
%%%%%%%%%%%%%%%%%%%☆★○●◎◇◆%%%%%%%%%%%%%%%%%%%%%

\begin{frame}[t]
\frametitle{面積を求めなさい}
%\vskip-3ex
\begin{minipage}[t]{0.4\textwidth}
\begin{tikzpicture}[scale=5,thick,
	baseline={([yshift=-24pt] current bounding box.north)}]
\alt<3->{\filldraw[fill=CUDBrightGreen](0,0) arc (-90:0:0.5)
	arc(90:180:0.5);}
	{\filldraw[preaction={fill,CUDPink},pattern=north east lines]
		(0,0) arc (-90:0:0.5) arc (90:180:0.5);
	}
\filldraw[preaction={fill,CUDPink},pattern=north east lines]
		(0.5,0.5) arc (-90:0:0.5) arc (90:180:0.5)
		(1,0) arc (0:90:0.5) arc (180:270:0.5)
		(0.5,0.5) arc (0:90:0.5) arc (180:270:0.5);
\draw(0,0) rectangle  (1,1);
\small
\draw[dashed](0,0) to[out=120,in=240]
	node[inner sep=2pt,fill=white]{$10$} (0,1)
	to[out=30,in=150] node[inner sep=2pt, fill=white]{$10$} (1,1);
\visible<2->{\draw[CUDBlue](0,0.5)--(0.5,0.5)--(0.5,0);
	\draw[CUDBlue,dashed](0,0) to[out=30,in=150]
		node[inner sep=1pt, fill=white]{$5$} (0.5,0);
	}
\end{tikzpicture}
\end{minipage}
%
\hfill
%
\begin{minipage}[t]{0.55\textwidth}
\visible<3->{式に当てはめると$1$個分で\textcolor{CUDGreen}{
\( \left( \tfrac{\,\pi\,}{2}-1 \right)\times5^2\)}
	\rule[-14pt]{0pt}{38pt}だから、}
\visible<4->{求める面積は\\[1ex]
	\( 4 \times 
	\textcolor{CUDGreen}{\left( \tfrac{\,\pi\,}{2}-1 \right)
	\times 5^2 } \)\\[1ex]
	}
\visible<5->{\hspace*{5ex}\( =50\pi-100 \)\quad\□答}
\end{minipage}
\end{frame}
%%%%%%%%%%%%%%%%%%%☆★○●◎◇◆%%%%%%%%%%%%%%%%%%%%%



\end{document}
