%
%	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}
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% テーマ
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% 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
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%\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{arrows.meta}
%\usetikzlibrary{calc,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
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\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

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% ↑ 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
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% 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
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\definecolor{CUDGreen}{RGB}{3,175,122}
\definecolor{CUDBlue}{RGB}{0,90,255}
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\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}
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\begin{document}

\title{プレ高数学科}\author{gbb60166}


%■■■■■■■■■■■■■　テスト領域　■■■■■■■■■■■■■■



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

\begin{frame}[t]
\frametitle{四角形の面積}
\vspace*{-9pt}
\begin{tikzpicture}[scale=1,thick, >=stealth,
	gbb/.style={fill=white,inner sep=3pt},
	baseline={([yshift=-24pt] current bounding box.north)}]
%\draw[help lines] (0,0) grid (9,7);
\useasboundingbox (0,0) grid (9,7);
\draw(2,{3+(5/1.618)})--++(-1.5,0)
	(2,3)--++(-1.5,0);
\draw[{Stealth[length=1ex]}-{Stealth[length=1ex]}]
	(1,3)-- node[gbb]{縦} ++(0,{5/1.618});
\draw(2,3)--++(0,-1.5)
	(7,3)--++(0,-1.5);
\draw[{Stealth[length=1ex]}-{Stealth[length=1ex]}]
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	(2,3) rectangle ++(5,{5/1.618});
\end{tikzpicture}
\begin{minipage}[t]{0.38\textwidth}
\vspace*{1ex}
四角形の面積

\bigskip
\centerline{\( =\text{縦}\times\text{横} \)}
\end{minipage}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\begin{frame}[t]
\frametitle{平行四辺形の面積}
\vspace*{-9pt}
\begin{tikzpicture}[scale=1, very thick, >=stealth,
	gbb/.style={fill=white,inner sep=3pt},
	baseline={([yshift=-24pt] current bounding box.north)}]
%\draw[help lines] (0,0) grid (9,7);
\useasboundingbox (0,0) grid (9,7);
\visible<2-3>{\filldraw[fill=CUDCream,draw=black,line join=round]
			(1.8,2.2)--++(0,3)--++(1,0);
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\visible<-4>{\filldraw[fill=CUDCream,draw=black,line join=round]
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\visible<2-3>{\fill[white,line join=round](6.8,2.2) rectangle ++(1.2,3.2);
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	}
\visible<3->{\draw[thick,{Stealth[length=1ex]}-{Stealth[length=1ex]}]
		(0.9,2.2)--node[gbb]{高さ} ++(0,3);
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		(1.8,1.3)--node[gbb]{底辺} ++(5,0);
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		(1.8,2.2)--++(-1.5,0)
		(1.8,2.2)--++(0,-1.5)
		(6.8,2.2)--++(0,-1.5);
	}
\end{tikzpicture}
\begin{minipage}[t]{0.38\textwidth}
\vspace*{1ex}
平行四辺形の面積

\bigskip
\visible<3->{\centerline{\( =\text{底辺}\times\text{高さ} \)}}
\end{minipage}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\begin{frame}[t]
\frametitle{三角形の面積}
\vspace*{-9pt}
\begin{animateinline}[autoplay]{3}%
\multiframe{19}{iAngle=0+10}{
\begin{tikzpicture}[scale=1, very thick, >=stealth,
%	gbb/.style={fill=white,inner sep=3pt},
	baseline={([yshift=-24pt] current bounding box.north)}]
%\draw[help lines] (0,0) grid (9,7);
\useasboundingbox (0,0) grid (9,7);
\filldraw[fill=CUDCream,draw=black,line join=round]
	(0,2.5)--++(5,0)--++(-2,4)--cycle;
\filldraw[fill=CUDBrightCyan,draw=black,
	rotate around={\iAngle:(4,4.5)},line join=round]
		(0,2.5)--++(5,0)--++(-2,4)--cycle;
\end{tikzpicture}
}
\end{animateinline}
\begin{minipage}[t]{0.38\textwidth}
\vspace*{1ex}
\( \text{三角形の面積}\times2 \)
\end{minipage}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\begin{frame}[t]
\frametitle{三角形の面積}
\vspace*{-9pt}
%\begin{animateinline}[autoplay]{3}%
%\multiframe{19}{iAngle=0+10}{
\begin{tikzpicture}[scale=1, very thick, >=stealth,
	gbb/.style={fill=white,inner sep=3pt},
	baseline={([yshift=-24pt] current bounding box.north)}]
%\draw[help lines] (0,0) grid (9,7);
\useasboundingbox (0,0) grid (9,7);
\draw[thick](3,6.5)--(8.7,6.5);
\draw[thick](5,2.5)--++(3.7,0);
\draw[thick,{Stealth[length=1ex]}-{Stealth[length=1ex]}]
	(8.2,2.5)--node[gbb]{高さ} ++(0,4);
\draw[thick](0,2.5)--++(0,-1);
\draw[thick](5,2.5)--++(0,-1);
\draw[thick,{Stealth[length=1ex]}-{Stealth[length=1ex]}]
	(0,1.8)--node[gbb]{底辺} ++(5,0);
\filldraw[fill=CUDCream,draw=black,line join=round]
	(0,2.5)--++(5,0)--++(-2,4)--cycle;
\visible<1>{\filldraw[fill=CUDBrightCyan,draw=black,
	rotate around={180:(4,4.5)},line join=round](0,2.5)--++(5,0)--++(-2,4)--cycle;
	}
\end{tikzpicture}
%}
%\end{animateinline}
\begin{minipage}[t]{0.38\textwidth}
\vspace*{1ex}
\( \text{三角形の面積}\alt<2->{\textcolor{gray!25}{{}\times2}}{\times2} \)

\bigskip
\visible<1>{\( =\text{\small 平行四辺形の面積} \)}

\bigskip
\( =\text{底辺}\!\times\!\text{高さ}
	\visible<2->{\textcolor{CUDRed}{\div2}} \)
\end{minipage}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\begin{frame}[t]
\frametitle{台形の面積}
\vspace*{-9pt}
\begin{animateinline}[autoplay]{3}%
\multiframe{22}{iAngle=0+10}{
\begin{tikzpicture}[scale=1, very thick, >=stealth,
	baseline={([yshift=-24pt] current bounding box.north)}]
%\draw[help lines] (0,0) grid (9,7);
\useasboundingbox (0,0) grid (9,7);
\filldraw[fill=CUDCream,draw=black,line join=round]
	(3.5,2.5)--++(4.7,0)--++(-1,3)--++(-2,0)--cycle;

\ifnum\iAngle<190
	\filldraw[fill=CUDBrightCyan,rotate around={\iAngle:(6,4)},
		draw=black,line join=round]
		(3.5,2.5)--++(4.7,0)--++(-1,3)--++(-2,0)--cycle;
\else
	\filldraw[fill=CUDBrightCyan,	draw=black,line join=round]
		({6.8-1.1*((\iAngle/10)-18)},2.5)--++(-2,0)
			--++(-1,3)--++(4.7,0)--cycle;
\fi
\end{tikzpicture}
}
\end{animateinline}
\begin{minipage}[t]{0.38\textwidth}
\vspace*{1ex}
\( \text{台形の面積}\times2 \)
\end{minipage}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\begin{frame}[t]
\frametitle{台形の面積}
\vspace*{-9pt}
\begin{tikzpicture}[scale=1, very thick, >=stealth,
	gbb/.style={fill=white,inner sep=3pt},
	baseline={([yshift=-24pt] current bounding box.north)}]
%\draw[help lines] (0,0) grid (9,7);
\useasboundingbox (0,0) grid (9,7);
\draw[thick](7,5.5)--++(1.7,0);
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	\draw[thick,{Stealth[length=1ex]}-{Stealth[length=1ex]}]
		(8.5,2.5)--node[gbb,rotate=90]
			{\footnotesize 高さ} ++(0,3);
	\draw[thick](1.5,2.5)--++(0,-2);
	\draw[thick](8.2,2.5)--++(0,-2);
	\draw[thick,{Stealth[length=1ex]}-{Stealth[length=1ex]}]
		(1.5,1)-- node[gbb]{\footnotesize 底辺} ++(6.7,0);
\visible<2->{\draw[thick](3.5,2.5)--++(0,-1);
	\draw[thick,{Stealth[length=1ex]}-{Stealth[length=1ex]}]
		(1.5,1.8)-- node[gbb]
			{\footnotesize 上底} ++(2,0);
	\draw[thick,{Stealth[length=1ex]}-{Stealth[length=1ex]}]
		(3.5,1.8)-- node[gbb]{\footnotesize 下底} ++(4.7,0);
	}
\filldraw[fill=CUDCream,draw=black,line join=round]
	(3.5,2.5)--++(4.7,0)--++(-1,3)--++(-2,0)--cycle;
\visible<-2>{\filldraw[fill=CUDBrightCyan,draw=black,line join=round]
	(3.5,2.5)--++(-2,0)--++(-1,3)--++(4.7,0)--cycle;
	}
\end{tikzpicture}
\begin{minipage}[t]{0.38\textwidth}
\vspace*{1ex}
\( \text{台形の面積}
	\alt<3->{\textcolor{gray!25}{{}\times2}}{\times2} \)

\bigskip
\visible<-2>{\( =\text{\small 平行四辺形の面積} \)}

\bigskip
\visible<-2>{\footnotesize \( = \makebox[4.8em]{底辺}
		\times\!\text{高さ} \) }

\bigskip
\visible<2->{\footnotesize \( =( \text{上底}+\text{下底} )
	\times\text{高さ}\visible<3->{\textcolor{CUDRed}{\div2}} \)
	}
\end{minipage}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\begin{frame}[t]
\frametitle{ひし形の面積}
\vspace*{-9pt}
\begin{tikzpicture}[scale=1, very thick, >=latex,
	gbb/.style={fill=white,inner sep=3pt},
	baseline={([yshift=-24pt] current bounding box.north)}]
%\draw[help lines] (0,0) grid (9,7);
\useasboundingbox (0,0) grid (9,7);
\visible<2>{\filldraw[fill=CUDBrightCyan,draw=black,line join=round]
		(1,2) rectangle ++(6,4);
	}
\filldraw[fill=CUDCream,draw=black,line join=round]
	(1,4)--++(3,-2)--++(3,2)--++(-3,2)--cycle;
\visible<2->{\draw[thick,{Stealth[length=1ex]}-{Stealth[length=1ex]}](4,2)--
		node[pos=0.7,gbb]{縦} ++(0,4);
	\draw[thick,{Stealth[length=1ex]}-{Stealth[length=1ex]}](1,4)--
		node[pos=0.7,gbb]{横} ++(6,0);
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\visible<2>{\draw(5.5,5)++(-0.5,-0.2) node{\scriptsize ○};
	\draw(5.5,5)++(0.5,0.4) node{\scriptsize ○};
	\draw(2.5,5)++(-0.5,0.4) node{\scriptsize □};
	\draw(2.5,5)++(0.5,-0.2) node{\scriptsize □};
	\draw(5.5,3)++(-0.5,0.2) node{\scriptsize △};
	\draw(5.5,3)++(0.5,-0.4) node{\scriptsize △};
	\draw(2.5,3)++(-0.5,-0.4) node{\scriptsize ☆};
	\draw(2.5,3)++(0.5,0.2) node{\scriptsize ☆};
	}
\end{tikzpicture}
\begin{minipage}[t]{0.38\textwidth}
\vspace*{1ex}
\visible<2->{\( \text{ひし形の面積}
		\alt<3->{\textcolor{gray!25}{{}\times2}}{\times2} \)

\bigskip
\( =\text{縦}\times\text{横}
		\visible<3->{\textcolor{CUDRed}{{}\div2}} \)
	}
\end{minipage}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\begin{frame}[t]
\frametitle{ひし形でなくても、対角線が直角なら}
\vspace*{-9pt}
\begin{tikzpicture}[scale=1, very thick, >=latex,
	gbb/.style={fill=white,inner sep=3pt},
	baseline={([yshift=-24pt] current bounding box.north)}]
%\draw[help lines] (0,0) grid (9,7);
\useasboundingbox (0,0) grid (9,7);
\visible<2>{\filldraw[fill=CUDBrightCyan,draw=black,line join=round]
		(6,4)+(-4.4,-3.3) rectangle +(2.7,2);
	}
\filldraw[fill=CUDCream,draw=black,line join=round]
	(6,4)+(2.7,0)--+(0,2)--+(-4.4,0)--+(0,-3.3)--cycle;
\visible<2->{\draw[thick,{Stealth[length=1ex]}-{Stealth[length=1ex]}]
		(6,4)+(0,-3.3)--
			node[pos=0.8,gbb]{縦} +(0,2);
	\draw[thick,{Stealth[length=1ex]}-{Stealth[length=1ex]}]
		(6,4)+(-4.4,0)--
			node[pos=0.8,gbb]{横} +(2.7,0);
	}
\visible<2>{\draw(7.5,5)++(-0.5,-0.2) node{\scriptsize ○};
	\draw(7.5,5)++(0.5,0.4) node{\scriptsize ○};
	\draw(4,5)++(-0.8,0.4) node{\scriptsize □};
	\draw(4,5)++(0.8,-0.2) node{\scriptsize □};
	\draw(7.5,2.5)++(-0.5,0.4) node{\scriptsize △};
	\draw(7.5,2.5)++(0.5,-0.6) node{\scriptsize △};
	\draw(3.5,2.5)++(-0.8,-0.6) node{\scriptsize ☆};
	\draw(3.5,2.5)++(0.8,0.4) node{\scriptsize ☆};
	}
\end{tikzpicture}
\begin{minipage}[t]{0.38\textwidth}
\vspace*{1ex}
\visible<2->{\( \text{こんな形の面積}
		\alt<3->{\textcolor{gray!25}{{}\!\times\!2}}{\!\times\!2} \)

	\bigskip
	\( =\text{縦}\times\text{横}
		\visible<3->{\textcolor{CUDRed}{{}\div2}} \)
	}
\end{minipage}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\begin{frame}[t]
\frametitle{では、この形の面積}
\vspace*{-9pt}
\begin{tikzpicture}[scale=1, very thick, >=latex,
	gbb/.style={fill=white,inner sep=1pt},
	baseline={([yshift=-24pt] current bounding box.north)}]
%\draw[help lines] (0,0) grid (9,7);
\useasboundingbox (0,0) grid (9,7);
\visible<2>{\filldraw[fill=CUDBrightCyan,rotate around={-10:(4.5,3.5)},
		draw=black,line join=round](1.3,1.5) rectangle (8,6.2);
	}
\filldraw[fill=CUDCream,rotate around={-10:(4.5,3.5)},draw=black,line join=round]
	(1.3,4)--(6,1.5)--(8,4)--(3,6.2)--cycle;
\visible<2->{\draw[CUDBlue,rotate around={-10:(4.5,3.5)},
		{Stealth[length=1ex]}-{Stealth[length=1ex]}](1.3,4)--
			node[gbb]{\ajMaru{1}} (8,4);
	\draw[CUDRed,rotate around={-10:(4.5,3.5)},
		{Stealth[length=1ex]}-{Stealth[length=1ex]}](3,6.2)--
			node[gbb]{\ajMaru{2}} (3,4);
	\draw[semithick,rotate around={-10:(4.5,3.5)}]
		(3,4)++(-12pt,0)--++(0,12pt)--++(12pt,0);
	\draw[CUDGreen,rotate around={-10:(4.5,3.5)},
		{Stealth[length=1ex]}-{Stealth[length=1ex]}](6,1.5)--
			node[gbb]{\ajMaru{3}} (6,4);
	\draw[semithick,rotate around={-10:(4.5,3.5)}]
		(6,4)++(12pt,0)--++(0,-12pt)--++(-12pt,0);
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\visible<2>{\draw(4.8,4.7) node{\scriptsize ○};
	\draw(7,5) node{\scriptsize ○};
	\draw(2.2,6) node{\scriptsize □};
	\draw(2.7,5.2) node{\scriptsize □};
	\draw(6.5,2.8) node{\scriptsize △};
	\draw(7,1.9) node{\scriptsize △};
	\draw(2.5,2.5) node{\scriptsize ☆};
	\draw(4.5,3) node{\scriptsize ☆};
	}
\end{tikzpicture}
\begin{minipage}[t]{0.38\textwidth}
\vspace*{1ex}
\visible<2->{\( \text{この形の面積}
		\alt<3->{\textcolor{gray!25}{{}\!\times\!2}}{\!\times\!2} \)

	\bigskip
	{\small \( =\text{\textcolor{CUDBlue}{\ajMaru{1}}}\times
		( \text{\textcolor{CUDRed}{\ajMaru{2}}} +
		\text{\textcolor{CUDGreen}{\ajMaru{3}}} )
		\visible<3->{\textcolor{CUDRed}{{}\div2}} \) }
	}
\end{minipage}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\begin{frame}[t]
\frametitle{円の面積}
\vspace*{-9pt}
\begin{tikzpicture}[scale=1, very thick, >=stealth,
	gbb/.style={fill=white,inner sep=3pt},
	baseline={([yshift=-24pt] current bounding box.north)}]
%\draw[help lines] (0,0) grid (7,7);
\useasboundingbox (0,0) grid (7,7);
\coordinate (O) at (3.5,4);
\filldraw[fill=CUDCream,draw=black,line join=round](O) circle(2.5);
\fill[CUDRed](O) circle(2pt);
\draw[CUDBlue,text=black,{Stealth[length=1ex]}-{Stealth[length=1ex]}](O)--
	node[gbb]{\small 半径} ++(2.5,0);
\end{tikzpicture}
\begin{minipage}[t]{0.5\textwidth}
\vspace*{1ex}
円の面積

\bigskip
%\centerline{\( =\text{\Large $\pi$}\times\text{半径}^2 \)}
\centerline{\( =\text{\Large$\pi$}\times\text{半径}^2 \)}

\bigskip
\centerline{（{\Large $\pi$}は円周率）}
\end{minipage}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\begin{frame}[t]
\frametitle{扇形の面積}
\vspace*{-9pt}
\begin{tikzpicture}[scale=1, very thick, >=stealth,
	gbb/.style={fill=white,inner sep=1pt},
	baseline={([yshift=-24pt] current bounding box.north)}]
%\draw[help lines] (0,0) grid (7,7);
\useasboundingbox (0,0) grid (7,7);
\coordinate (O) at (3.5,4);
\filldraw[fill=CUDCream,draw=black,line join=round](O)--++(2.5,0)
	arc [start angle=0, end angle=64,radius=2.5] --cycle;
\visible<2->{\draw[dashed,line join=round](O) circle(2.5);
	\draw[<->](O)++(0.5,0) arc [start angle=0, end angle=64,radius=0.5];
	\draw[semithick](O)++(0,1)--++(0,-1.9);
	\draw[semithick](O)++(2.5,1)--++(0,-1.9);
	\draw(O)++(1,0.5) node{\footnotesize 角度};
	\draw[CUDBlue,{Stealth[length=1ex]}-{Stealth[length=1ex]}]
		(O)++(0,-0.7)-- node[gbb]{\small 半径} ++(2.5,0);
	\draw[CUDRed,{Stealth[length=1ex]}-{Stealth[length=1ex]}]
		(O)++(2,0) arc [start angle=0, end angle=360,radius=2];
	\draw[CUDRed](O)++(0,-1.5) node{\( 360^\circ \)};
	}
\end{tikzpicture}
\begin{minipage}[t]{0.5\textwidth}
\vspace*{1ex}
扇形の面積

\visible<2->{\bigskip
	\centerline{\( =\makebox[9.8ex]{\textcolor{CUDBlue}{円の面積}}\times
		\myfrac{\text{角度}^\circ}{\textcolor{CUDRed}{360^\circ}} \)}

	\bigskip
	\centerline{\( =\textcolor{CUDBlue}{\text{\Large$\pi$}\!\times\!
		\text{半径}^2}\times
		\myfrac{\text{角度}^\circ}{\textcolor{CUDRed}{360^\circ}} \)}
	}
\end{minipage}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\begin{frame}[t]
\frametitle{扇形の面積（弧の長さを使って）}
\vspace*{-9pt}
\begin{tikzpicture}[scale=1, very thick, >=stealth,
	gbb/.style={fill=white,inner sep=1pt},
	baseline={([yshift=-24pt] current bounding box.north)}]
%\draw[help lines] (0,0) grid (7,7);
\useasboundingbox (0,0) grid (7,7);
\coordinate (O) at (3.5,4);
\filldraw[fill=CUDCream,draw=black,line join=round](O)--++(2.5,0)
	arc [start angle=0, end angle=64,radius=2.5] --cycle;
\visible<2->{\draw[CUDBlue,{Stealth[length=1ex]}-{Stealth[length=1ex]}]
		(O)-- node[gbb]{\footnotesize 半径}++(2.5,0);
	\draw[CUDRed,{Stealth[length=1ex]}-{Stealth[length=1ex]}]
		(O)++(2.5,0) arc [start angle=0, end angle=64,radius=2.5]
		node[gbb]{\footnotesize 弧の長さ};

	\filldraw[fill=CUDCream,draw=black,line join=round]
		(0.5,1)--++({2*2.5*pi*64/360},0)--++(-1,2.5)--cycle;
	\draw[CUDRed,{Stealth[length=1ex]}-{Stealth[length=1ex]}]
		(0.5,1)-- node[yshift=-1.6ex,gbb]
			{\footnotesize 弧の長さ} ++({2*2.5*pi*64/360},0);
	\draw[CUDBlue,{Stealth[length=1ex]}-{Stealth[length=1ex]}]
		(0.5,1)++({2*2.5*pi*64/360},0)++(-1,2.5)-- 
			node[xshift=-4pt,gbb]{\footnotesize 半径} ++(0,-2.5);
	\draw(5,2) node{\small と同じ面積};
	}

\end{tikzpicture}
\begin{minipage}[t]{0.5\textwidth}
\vspace*{1ex}
扇形の面積

\visible<2->{\bigskip
	\centerline{\( =\text{\textcolor{CUDRed}{弧の長さ}}\times
		\text{\textcolor{CUDBlue}{半径}}\div2 \)}

	\vskip4ex
	\centerline{\( =\makebox[4zw]{\textcolor{CUDRed}{底辺}}\times
		\text{\textcolor{CUDBlue}{高さ}}\div2 \)}
	}
\end{minipage}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\begin{frame}[t]
\frametitle{楕円の面積}
\vspace*{-9pt}
\begin{tikzpicture}[scale=1, very thick, >=stealth,
	gbb/.style={fill=white,inner sep=3pt},
	baseline={([yshift=-24pt] current bounding box.north)}]
%\draw[help lines] (0,0) grid (7,7);
\useasboundingbox (0,0) grid (7,7);
\coordinate (O) at (3.5,4);
\filldraw [fill=CUDCream,draw=black](O) circle [x radius=2.8, y radius=1.8];
\fill[CUDRed](O) circle(2pt);
\draw[CUDBlue,text=black,{Stealth[length=1ex]}-{Stealth[length=1ex]}]
	(O)-- node[gbb]{\footnotesize 長半径} ++(2.8,0);
\draw[CUDBlue,text=black,{Stealth[length=1ex]}-{Stealth[length=1ex]}]
	(O)-- node[gbb]{\footnotesize 短半径} ++(0,1.8);
\end{tikzpicture}
\begin{minipage}[t]{0.5\textwidth}
\vspace*{1ex}
楕円の面積

\bigskip
\centerline{\( =\text{\Large$\pi$}\times\text{長半径}\times\text{短半径} \)}

\bigskip
\centerline{（{\Large$\pi$}は円周率）}
\end{minipage}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\begin{frame}[t]
\frametitle{ドーナツ型の面積}
\vspace*{-9pt}
\begin{tikzpicture}[scale=1, very thick, >=stealth,
	gbb/.style={fill=white,inner sep=1pt},
	baseline={([yshift=-24pt] current bounding box.north)}]
%\draw[help lines] (-3.5,-3.5) grid (3.5,3.5);
\useasboundingbox (-3.5,-3.5) grid (3.5,3.5);
\coordinate (O) at (0,0);
\visible<1-2,7->{\filldraw[fill=CUDCream,draw=black,line join=round](O) circle(2.5);
	\filldraw[fill=white,draw=black,line join=round](O) circle(1);
	}
\visible<3>{\filldraw[fill=CUDCream,draw=black,line join=round](0,0.5)
		circle({sqrt((2.5)^2-1^2+0.5^2)});
	\filldraw[fill=white,draw=black,line join=round](0,0.5) circle(0.5);
	}
\visible<4>{\filldraw[fill=CUDCream,draw=black,line join=round](0,0.75)
		circle({sqrt((2.5)^2-1^2+0.25^2)});
	\filldraw[fill=white,draw=black,line join=round](0,0.75) circle(0.25);
	}
\visible<5>{\filldraw[fill=CUDCream,draw=black,line join=round](0,0.9)
		circle({sqrt((2.5)^2-1^2+0.1^2)});
	\filldraw[fill=white,draw=black,line join=round](0,0.9) circle(0.1);
	}
\visible<6>{\filldraw[fill=CUDCream,draw=black,line join=round](0,1)
		circle({sqrt((2.5)^2-1^2)});
	\fill[CUDRed](0,1) circle(2.4pt);
	}

\visible<2->{\draw[CUDBlue,text=black,
	{Stealth[length=1ex]}-{Stealth[length=1ex]}]
	({-sqrt((2.5)^2-1^2)},1)--node[midway,yshift=1.6ex,gbb]
			{\small 長さ} ({sqrt((2.5)^2-1^2)},1);
	}
\end{tikzpicture}
\begin{minipage}[t]{0.5\textwidth}
\vspace*{1ex}
\only<2-6>{この長さが同じドーナツ型は面積が同じなので}

\only<6>{\bigskip
	\( \text{半径}=\myfrac{\text{長さ}}{2} \)の円の面積\\[1ex]
	と同じとなって
	}

\only<7->{\bigskip
	\( \text{ドーナツ型の面積} \)

	\bigskip
	\centerline{\( =\text{\Large$\pi$}\times
		\Bigl(\myfrac{\text{長さ}}{2}\Bigr)^2 \)}
	}
\end{minipage}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%




\end{document}

