\documentclass[11pt,b4j,dvipdfmx,landscape,twocolumn,papersize]{jsarticle}
% furikana.sty	http://xymtex.com/fujitas2/texlatex/index.html#tategumi
\usepackage{ascmac,bm,amssymb,furikana}
\usepackage[deluxe]{otf}
\usepackage{graphicx,color}
%\usepackage{qrcode}
%\usepackage[pdfpagemode=FullScreen,setpagesize=false]{hyperref}
%\usepackage[pdfstartview={XYZ null null 1.75},setpagesize=false]{hyperref}
\usepackage{hyperref,pxjahyper}
\usepackage{tikz}
\usetikzlibrary{calc}
%\usetikzlibrary{intersections,patterns,angles,backgrounds,positioning}

%\AtBeginDvi{\special{pdf:pagesize width 364mm height 257mm}}
\textwidth=330truemm \textheight=226truemm \columnseprule=0pt
\topmargin=-24truemm \oddsidemargin=-8truemm

\hypersetup{% Oct 1 2023
	pdftitle={数学授業プリント},
	pdfauthor={gbb60166@gmail.com},
	pdfsubject={https://unilab.gbb60166.jp/math_ia/math_ia.htm}
	}

\newenvironment{nidan}{\begin{minipage}[t]{.225\textwidth}}{\end{minipage}}
%\def\nidangumi#1#2{\begin{nidan}{#1}\end{nidan}\quad%
%\begin{nidan}{#2}\end{nidan}}
\newcommand{\nidangumi}[2]{\begin{nidan}{#1}\end{nidan}\quad%
\begin{nidan}{#2}\end{nidan}}

% ■■■ 0より大きいときはdvipdfmxで印刷用PDFを作ることを想定（答えはプリント
% 下部に出力される）
%        0 のときはdvipdfmxでデジタル教材用PDFを作ることを想定（答えは問題の
% すぐ横に赤で出力され、後でOneNoteで黒く塗りつぶし）
\def\make_pdf_with_insatsu{1}

\everymath{\displaystyle}
\parindent=0zw \columnsep=3zw
\lineskiplimit=1ex \normallineskiplimit=\lineskiplimit 
\lineskip=\lineskiplimit \normallineskip=\lineskiplimit

\newcounter{toi} \newcounter{subtoi}[toi]
\newcounter{subsubtoi}[subtoi]

\def\toi{\refstepcounter{toi}\par          % 問
  \makebox[2zw][r]{\Large\ajKaku{\value{toi}}\hspace{0.5zw}}%
  \hangindent=2zw}

\def\subtoi{\refstepcounter{subtoi}\par    % 小問
  \makebox[3.4zw][r]{\ajKakko{\value{subtoi}}\hspace{1zw}}%
  \hangindent=3.4zw}

\def\subsubtoi{\refstepcounter{subsubtoi}\par    % 小小問
  \makebox[4.2zw][r]{\ajMaru{\value{subtoi}}\hspace{1zw}}%
  \hangindent=4.2zw}

\ifnum\make_pdf_with_insatsu>0
	\def\kotae#1{\relax}
\else
	\def\kotae#1{\hfill \textcolor{red}{\footnotesize\gtfamily\bfseries\(\boldsymbol{#1} \)}}
\fi

\newcommand{\Slash}[1]{\ooalign{\hfil\kern-0.2em／\hfil\crcr$#1$}}
\pagestyle{empty}

\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}}
\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


\begin{document}

%
%  ===========================以下本文===============================
%
\def\namae{%
{\Large\gtfamily\bfseries 数学I \quad 授業プリント \# 59}\hfill
年\hskip8ex 組\hskip8ex 号 \hskip5ex

\hfill 
\underline{氏名\rule[-2ex]{0cm}{6ex}\hskip30ex}}

\namae

\vskip-2ex

{\large\gtfamily\bfseries ■　余弦定理}
{\large （\kana{余弦}{よげん}とは$\cos$のことです）}

\bigskip

　余弦定理を使うと『二辺とその間の角度』が分かったときの
『向かい側の辺の長さ』を計算することが出来る。

\vspace*{-3ex}
\begin{center}
\begin{minipage}[t]{0.4\textwidth}
\begin{shadebox}

\vspace*{-6pt}
\[	\left({角度の向かい \atop 側の辺の長さ}\right)^2 =
	\tikz[baseline=1pt]\draw(3pt,3pt) node[circle, fill=red, inner sep=1pt]{\small\textcolor{white}{\gtfamily\bfseries 辺}};^2+
	\tikz[baseline=1pt]\draw(3pt,3pt) node[circle, fill=blue, inner sep=1pt]{\small\textcolor{white}{\gtfamily\bfseries 辺}};^2-2\times
	\tikz[baseline=1pt]\draw(3pt,3pt) node[circle, fill=red, inner sep=1pt]{\small\textcolor{white}{\gtfamily\bfseries 辺}};\times
	\tikz[baseline=1pt]\draw(3pt,3pt) node[circle, fill=blue, inner sep=1pt]{\small\textcolor{white}{\gtfamily\bfseries 辺}};\times\cos (間の角度)
\]
\vspace*{-8pt}

\end{shadebox}
\end{minipage}
\end{center}


\begin{minipage}[t]{0.33\textwidth}
\fbox{例題}\quad 右の三角形で，$x$の長さを求めなさい。

\bigskip

\quad
\fbox{解}\quad
余弦定理より

\vspace*{-6ex}
\begin{eqnarray*}
x^2 &=& 2^2+3^2-2\times2\times3\times\cos60^\circ \\
x^2 &=& \hooklen{2^2}{4}+\hooklen{3^2}{9}
	-2\times2\times3\times{\,1\,\over2} \\
x^2 &=& \hooklen{2^2+3^2}{13}
	-\hooklen{2\times2\times3\times{\,1\,\over2}}{6} \\
x^2 &=& \hskip3em 7 \\
x &=& \pm\sqrt{7} \\[2ex]
x>0だから\hskip1.5zw x&=& \sqrt{7}\quad\mbox{\□答}
\end{eqnarray*}
\end{minipage}
%\hskip3zw
%■ TikZ バージョン
\begin{tikzpicture}[rotate=0, scale=0.8,
	baseline={([yshift=-11pt] current bounding box.north)}]
\coordinate [label=left:{\footnotesize A}] (A) at (0,0);
\coordinate (B) at (3,0);
\coordinate (C) at (60:2);
\begin{scope}
\clip (A)--(B)--(C)--cycle;
\draw (A) circle (12pt);
\end{scope}
\draw (A)--(B)--(C)--cycle;
\draw[dashed] (A) to[out=-30,in=-150] 
	node [inner sep=2pt, fill=white]{\small $3$} (B);
\draw[dashed] (A) to[out=90,in=-150] 
	node [inner sep=2pt, fill=white]{\small $2$} (C);
\draw[dashed] (B) to[out=100,in=0] 
	node [inner sep=2pt, fill=white]{\small $x$} (C);
\draw(25:24pt) node[inner sep=1pt]{\small $60^\circ$};
\end{tikzpicture}


%\vskip8zh
\vfill


\hspace*{15mm}
\begin{tikzpicture}[rotate=0, scale=1.2, 
	baseline=(current bounding box.south)]
%\coordinate [label=above:{\footnotesize B}] (B) at (1.732,1);
\coordinate (B) at ($ ({sqrt(3)},1) $);% (1.732,1);
\coordinate (A) at (0,0);
\coordinate (C) at ($ ({sqrt(3)},0) $);% (1.732,0);
\draw (A)--(B)--(C)--cycle;
%\draw (1.532,0)--(1.532,0.2)--(1.732,0.2);
\draw (C) ++(-0.2,0)-- ++(0,0.2) -- ++(0.2,0);
\draw[dashed] (A) to[out=-30,in=-150] 
	node [solid, inner sep=2pt, fill=white]{\small $\sqrt{3}$} (C);
\draw[dashed] (A) to[out=60,in=180] 
	node [inner sep=2pt, fill=white]{\small $2$} (B);
\draw[dashed] (C) to[out=45,in=-45] 
	node [inner sep=2pt, fill=white]{\small $1$} (B);
\draw(8pt,0) arc [start angle=0, end angle=30,x radius=8pt, y radius=8pt];
\draw(10pt,0) arc [start angle=0, end angle=30,x radius=10pt, y radius=10pt];
\draw(20pt,5pt) node{\footnotesize $30^\circ$};
\draw(B) +(0,-5pt) 
	arc [start angle=270, end angle=210,x radius=5pt, y radius=5pt];
\draw(B) +(-5pt,-10pt) node{\footnotesize $60^\circ$};
\end{tikzpicture}
%
\hspace*{7zw}
%
\begin{tikzpicture}[rotate=0, scale=1.2, baseline=(current bounding box.south)]
%\coordinate [label=above:{\footnotesize B}] (B) at (1,1);
\coordinate (B) at (1,1);
\coordinate (A) at (0,0);
\coordinate (C) at (1,0);
\draw (A)--(B)--(C)--cycle;
%\draw (0.8,0)--(0.8,0.2)--(1,0.2);
\draw (C) ++(-0.2,0)-- ++(0,0.2) -- ++(0.2,0);
\draw[dashed] (A) to[out=-45,in=-135] node [inner sep=2pt, fill=white]{\small $1$} (C);
\draw[dashed] (A) to[out=90,in=180] node [solid, inner sep=1pt, fill=white]{\small $\sqrt{2}$} (B);
\draw[dashed] (C) to[out=45,in=-45] node [inner sep=2pt, fill=white]{\small $1$} (B);
\draw(5pt,0) arc [start angle=0, end angle=45,x radius=5pt, y radius=5pt];
\draw(12pt,5pt) node{\footnotesize $45^\circ$};
\draw(B) +(0,-5pt) arc [start angle=270, end angle=225,x radius=5pt, y radius=5pt];
\draw(B) +(-5pt,-13pt) node{\footnotesize $45^\circ$};
\end{tikzpicture}
%
\hspace*{7zw}
%
\begin{tikzpicture}[rotate=0, scale=1.2, baseline=(current bounding box.south)]
%\coordinate [label=above:{\footnotesize B}] (B) at (1,1.732);
\coordinate (B) at ($ (1,{sqrt(3)}) $);% (1,1.732);
\coordinate (A) at (0,0);
\coordinate (C) at (1,0);
\draw (A)--(B)--(C)--cycle;
%\draw (0.8,0)--(0.8,0.2)--(1,0.2);
\draw (C) ++(-0.2,0)-- ++(0,0.2) -- ++(0.2,0);
\draw[dashed] (A) to[out=-45,in=-135] node [inner sep=2pt, fill=white]{\small $1$} (C);
\draw[dashed] (A) to[out=90,in=210] node [inner sep=2pt, fill=white]{\small $2$} (B);
\draw[dashed] (C) to[out=45,in=-45] node [inner sep=2pt, fill=white]{\small $\sqrt{3}$} (B);
\draw(5pt,0) arc [start angle=0, end angle=60,x radius=5pt, y radius=5pt];
\draw(12pt,5pt) node{\footnotesize $60^\circ$};
\draw(B) +(0,-8pt) arc [start angle=270, end angle=240,x radius=8pt, y radius=8pt];
\draw(B) +(0,-10pt) arc [start angle=270, end angle=240,x radius=10pt, y radius=10pt];
\draw(B) +(-5pt,-20pt) node{\footnotesize $30^\circ$};
\end{tikzpicture}

\bigskip


\def\sikaku{\raisebox{0mm}{\fbox{\rule[-4mm]{0mm}{10mm}\hskip 8mm}}}

\hfill\( \cos 30^\circ =\) \sikaku\hfill
\( \cos 45^\circ =\) \sikaku\hfill
\( \cos 60^\circ =\) \sikaku\hfill\mbox{}

\bigskip

\kotae{\cos 30^\circ={\sqrt{3}\over2},\quad \cos 45^\circ={1\over\sqrt{2}},\quad \cos 60^\circ={\,1\,\over2}}

\vfill



\ifnum\make_pdf_with_insatsu>0
	\rotatebox{180}{{\normalsize\gtfamily\bfseries プリント\#59}\scriptsize
	\ajKakko{5}~\( 2\sqrt{3} \)\ \ajKakko{6}~\( \sqrt{19} \)\ 
	\ajKakko{7}~\( 3\sqrt{5} \)\ \ajKakko{8}~\( \sqrt{7} \)\ 
	\ajKakko{9}~\( \sqrt{7} \)\ \ajKakko{10}~\( 2\sqrt{7} \)\ 
	}
\fi



\newpage



\toi 次の三角形の辺の長さ$x$を求めなさい。

\nidangumi{\subtoi %
%■ TikZ バージョン
\begin{tikzpicture}[rotate=-130, scale=0.4, baseline={([yshift=-11pt] current bounding box.north)}]
%\coordinate [label=left:{\footnotesize A}] (A) at (0,0);
\coordinate (A) at (0,0);
\coordinate (B) at (5,0);
\coordinate (C) at (60:4);
\begin{scope}
\clip (A)--(B)--(C)--cycle;
\draw (A) circle (20pt);
\end{scope}
\draw (A)--(B)--(C)--cycle;
%\draw[dashed, rounded corners=24pt] (A)--(1.5,-0.5)--(B);
%\draw(2.5,-0.5) node[inner sep=1pt]{\small $5$};
%\draw(75:2) node[inner sep=1pt]{\small $4$};
%\draw(30:4.3) node[inner sep=1pt]{\small $x$};
\draw[dashed] (A) to[out=-30,in=210] node [inner sep=2pt, fill=white]{\small $5$} (B);
\draw[dashed] (A) to[out=90,in=210] node [inner sep=2pt, fill=white]{\small $4$} (C);
\draw[dashed] (C) to[out=0,in=100] node [inner sep=2pt, fill=white]{\small $x$} (B);
\draw(30:36pt) node[inner sep=1pt]{\small $60^\circ$};
\end{tikzpicture}\kotae{\sqrt{21}}
}%
{\subtoi %
%■ TikZ バージョン
\begin{tikzpicture}[rotate=-100, scale=0.5, baseline={([yshift=-11pt] current bounding box.north)}]
%\coordinate [label=left:{\footnotesize A}] (A) at (0,0);
\coordinate (A) at (0,0);
\coordinate (B) at (3,0);
\coordinate (C) at (60:4);
\begin{scope}
\clip (A)--(B)--(C)--cycle;
\draw (A) circle (20pt);
\end{scope}
\draw (A)--(B)--(C)--cycle;
%\draw[dashed, rounded corners=24pt] (A)--(1.5,-0.5)--(B);
%\draw(1.5,-0.5) node[inner sep=1pt]{\small $3$};
%\draw(75:2) node[inner sep=1pt]{\small $4$};
%\draw(30:3.4) node[inner sep=1pt]{\small $x$};
\draw[dashed] (A) to[out=-30,in=210] node [inner sep=2pt, fill=white]{\small $3$} (B);
\draw[dashed] (A) to[out=90,in=225] node [inner sep=1pt, fill=white]{\small $4$} (C);
\draw[dashed] (C) to[out=-45,in=80] node [inner sep=2pt, fill=white]{\small $x$} (B);
\draw(35:36pt) node[inner sep=1pt]{\small $60^\circ$};
\end{tikzpicture}\kotae{\sqrt{13}}
}

\vfill

%\mbox{\rotatebox{180}{\scriptsize\fbox{1} (1)~$\sqrt{61}$ \quad (2)~$13$ \quad (3)~$\sqrt{5}$ \quad (4)~$\sqrt{7}$ \quad
%(5)~$\sqrt{5}$ \quad (6)~$2\sqrt{21}$ \quad (7)~$\sqrt{7}$ \quad (8)~$7$ \quad \fbox{2} (1)~$5$ \quad (2)~$2$}}


\nidangumi{\subtoi %
%■ TikZ バージョン
\begin{tikzpicture}[rotate=0, scale=1, baseline={([yshift=-11pt] current bounding box.north)}]
%\coordinate [label=left:{\footnotesize A}] (A) at (0,0);
\coordinate (A) at (0,0);
\coordinate (B) at (3,0);
\coordinate (C) at ($(135:1.414)+(3,0)$);
\begin{scope}
\clip (A)--(B)--(C)--cycle;
\draw (B) circle (9pt);
\end{scope}
\draw (A)--(B)--(C)--cycle;
%\draw[dashed, rounded corners=24pt] (A)--(1.5,-0.5)--(B);
%\draw(1.5,-0.3) node[inner sep=1pt]{\small $3$};
%\draw(2.8,0.7) node[inner sep=1pt]{\small $\sqrt{2}$};
%\draw(35:1.2) node[inner sep=1pt]{\small $x$};
\draw[dashed] (A) to[out=-30,in=210] node [inner sep=2pt, fill=white]{\small $3$} (B);
\draw[dashed] (A) to[out=45,in=180] node [inner sep=2pt, fill=white]{\small $x$} (C);
\draw[dashed] (C) to[out=0,in=90] node [inner sep=0pt, fill=white]{\small $\sqrt{2}$} (B);
\draw(B) ++(-16pt,6pt) node[inner sep=1pt]{\small $45^\circ$};
\end{tikzpicture}\kotae{\sqrt{5}}
}%
{\subtoi %
%■ TikZ バージョン
\begin{tikzpicture}[rotate=0, scale=0.3, baseline={([yshift=-11pt] current bounding box.north)}]
\coordinate (A) at (0,0);
\coordinate (B) at (8,0);
\coordinate (C) at (60:5);
\begin{scope}
\clip (A)--(B)--(C)--cycle;
\draw (A) circle (24pt);
\end{scope}
\draw (A)--(B)--(C)--cycle;
%\draw(4,-0.5) node[inner sep=1pt]{\small $8$};
%\draw(75:2.5) node[inner sep=1pt]{\small $5$};
%\draw(30:6) node[inner sep=1pt]{\small $x$};
\draw[dashed] (A) to[out=-30,in=210] node [inner sep=2pt, fill=white]{\small $8$} (B);
\draw[dashed] (A) to[out=90,in=210] node [inner sep=2pt, fill=white]{\small $5$} (C);
\draw[dashed] (C) to[out=0,in=120] node [inner sep=2pt, fill=white]{\small $x$} (B);
\draw(25:56pt) node[inner sep=1pt]{\small $60^\circ$};
\end{tikzpicture}\kotae{7}
}

\vfill




\newpage%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%



\nidangumi{\subtoi %
%■ TikZ バージョン
\begin{tikzpicture}[rotate=-120, scale=0.4, baseline={([yshift=-11pt] current bounding box.north)}]
%\coordinate [label=left:{\footnotesize A}] (A) at (0,0);
\coordinate (A) at (0,0);
\coordinate (B) at (6.93,0);
\coordinate (C) at (30:6);
\begin{scope}
\clip (A)--(B)--(C)--cycle;
\draw (A) circle (20pt);
\end{scope}
\draw (A)--(B)--(C)--cycle;
%\draw(3.5,-1.1) node[inner sep=1pt]{\small $4\sqrt{3}$};
%\draw(45:3) node[inner sep=1pt]{\small $6$};
%\draw(15:7) node[inner sep=1pt]{\small $x$};
\draw[dashed] (A) to[out=-30,in=210] node [inner sep=0pt, fill=white]{\small $4\sqrt{3}$} (B);
\draw[dashed] (A) to[out=45,in=180] node [inner sep=2pt, fill=white]{\small $6$} (C);
\draw[dashed] (C) to[out=-30,in=90] node [inner sep=2pt, fill=white]{\small $x$} (B);
\draw(15:48pt) node[inner sep=1pt]{\small $30^\circ$};
\end{tikzpicture}\kotae{2\sqrt{3}}
}%
{\subtoi %
%■ TikZ バージョン
\begin{tikzpicture}[rotate=-140, scale=0.4, baseline={([yshift=-11pt] current bounding box.north)}]
%\coordinate [label=left:{\footnotesize A}] (A) at (0,0);
\coordinate (A) at (0,0);
\coordinate (B) at (5,0);
\coordinate (C) at (60:3);
\begin{scope}
\clip (A)--(B)--(C)--cycle;
\draw (A) circle (20pt);
\end{scope}
\draw (A)--(B)--(C)--cycle;
%\draw(2.5,-0.5) node[inner sep=1pt]{\small $5$};
%\draw(75:1.5) node[inner sep=1pt]{\small $3$};
%\draw(30:4) node[inner sep=1pt]{\small $x$};
\draw[dashed] (A) to[out=-30,in=210] node [inner sep=2pt, fill=white]{\small $5$} (B);
\draw[dashed] (A) to[out=90,in=180] node [inner sep=2pt, fill=white]{\small $3$} (C);
\draw[dashed] (C) to[out=0,in=120] node [inner sep=2pt, fill=white]{\small $x$} (B);
\draw(30:36pt) node[inner sep=1pt]{\small $60^\circ$};
\end{tikzpicture}\kotae{\sqrt{19}}
}%


\vfill

\nidangumi{\subtoi %
%■ TikZ バージョン
\begin{tikzpicture}[rotate=20, scale=0.3, baseline={([yshift=-11pt] current bounding box.north)}]
\coordinate (A) at (0,0);
\coordinate (B) at (4.242,0);
\coordinate (C) at (45:9);
\begin{scope}
\clip (A)--(B)--(C)--cycle;
\draw (A) circle (24pt);
\end{scope}
\draw (A)--(B)--(C)--cycle;
%\draw(2.1,-0.8) node[inner sep=1pt]{\small $3\sqrt{2}$};
%\draw(55:4.5) node[inner sep=1pt]{\small $9$};
%\draw(22:6) node[inner sep=1pt]{\small $x$};
\draw[dashed] (A) to[out=-45,in=225] node [inner sep=0pt, fill=white]{\small $3\sqrt{2}$} (B);
\draw[dashed] (A) to[out=60,in=210] node [inner sep=0pt, fill=white]{\small $9$} (C);
\draw[dashed] (C) to[out=280,in=45] node [inner sep=2pt, fill=white]{\small $x$} (B);
\draw(22:56pt) node[inner sep=1pt]{\small $45^\circ$};
\end{tikzpicture}\kotae{3\sqrt{5}}
}
{\subtoi %
%■ TikZ バージョン
\begin{tikzpicture}[rotate=0, scale=1, baseline={([yshift=-11pt] current bounding box.north)}]
%\coordinate [label=left:{\footnotesize A}] (A) at (0,0);
\coordinate (A) at (0,0);
\coordinate (B) at (3,0);
\coordinate (C) at ($(120:1)+(3,0)$);
\begin{scope}
\clip (A)--(B)--(C)--cycle;
\draw (B) circle (9pt);
\end{scope}
\draw (A)--(B)--(C)--cycle;
%\draw[dashed, rounded corners=24pt] (A)--(1.5,-0.5)--(B);
%\draw(1.5,-0.3) node[inner sep=1pt]{\small $3$};
%\draw(2.9,0.5) node[inner sep=1pt]{\small $1$};
%\draw(30:1.2) node[inner sep=1pt]{\small $x$};
\draw[dashed] (A) to[out=-30,in=210] node [inner sep=2pt, fill=white]{\small $3$} (B);
\draw[dashed] (A) to[out=45,in=180] node [inner sep=2pt, fill=white]{\small $x$} (C);
\draw[dashed] (C) to[out=-10,in=80] node [inner sep=1pt, fill=white]{\small $1$} (B);
\draw(B) ++(-16pt,6pt) node[inner sep=1pt]{\small $60^\circ$};
\end{tikzpicture}\kotae{\sqrt{7}}
}%

\vfill

\ifnum\make_pdf_with_insatsu>0
	\rotatebox{180}{{\normalsize\gtfamily\bfseries プリント\#59}\scriptsize
	\ \( \cos 30^\circ={\sqrt{3}\over2},\ \cos 45^\circ={1\over\sqrt{2}},\ 
	\cos 60^\circ={\,1\,\over2} \)\ 
	{\normalsize\ajKaku{1}}~\ajKakko{1}~\( \sqrt{21} \)\ 
	\ajKakko{2}~\( \sqrt{13} \)\ 
	\ajKakko{3}~\( \sqrt{5} \)\ \ajKakko{4}~\( 7 \)\ 
	}
\fi


\newpage%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%





\nidangumi{\subtoi %
%■ TikZ バージョン
\begin{tikzpicture}[rotate=0, scale=1, baseline={([yshift=-11pt] current bounding box.north)}]
%\coordinate [label=left:{\footnotesize A}] (A) at (0,0);
\coordinate (A) at (0,0);
\coordinate (B) at ($({-sqrt(3)},0)$);%(-1.732,0);
\coordinate (C) at (150:4);
\begin{scope}
\clip (A)--(B)--(C)--cycle;
\draw (A) circle (9pt);
\end{scope}
\draw (A)--(B)--(C)--cycle;
%\draw[dashed, rounded corners=24pt] (A)--(1.5,-0.5)--(B);
%\draw(-1,-0.3) node[inner sep=1pt]{\small $\sqrt{3}$};
%\draw(140:2) node[inner sep=1pt]{\small $4$};
%\draw(-2.8,0.8) node[inner sep=1pt]{\small $x$};
\draw[dashed] (A) to[out=210,in=-30] node [inner sep=0pt, fill=white]{\small $\sqrt{3}$} (B);
\draw[dashed] (A) to[out=135,in=0] node [inner sep=2pt, fill=white]{\small $4$} (C);
\draw[dashed] (C) to[out=280,in=150] node [inner sep=2pt, fill=white]{\small $x$} (B);
\draw(A) ++(-24pt,6pt) node[inner sep=1pt]{\small $30^\circ$};
\end{tikzpicture}\kotae{\sqrt{7}}
}%
{\subtoi %
%■ TikZ バージョン
\begin{tikzpicture}[rotate=-130, scale=0.4, baseline={([yshift=-11pt] current bounding box.north)}]
%\coordinate [label=left:{\footnotesize A}] (A) at (0,0);
\coordinate (A) at (0,0);
\coordinate (B) at (6,0);
\coordinate (C) at (60:4);
\begin{scope}
\clip (A)--(B)--(C)--cycle;
\draw (A) circle (20pt);
\end{scope}
\draw (A)--(B)--(C)--cycle;
%\draw[dashed, rounded corners=24pt] (A)--(1.5,-0.5)--(B);
%\draw(2.5,-0.5) node[inner sep=1pt]{\small $6$};
%\draw(75:2) node[inner sep=1pt]{\small $4$};
%\draw(30:4.7) node[inner sep=1pt]{\small $x$};
\draw[dashed] (A) to[out=-30,in=210] node [inner sep=2pt, fill=white]{\small $6$} (B);
\draw[dashed] (A) to[out=90,in=210] node [inner sep=2pt, fill=white]{\small $4$} (C);
\draw[dashed] (C) to[out=0,in=120] node [inner sep=2pt, fill=white]{\small $x$} (B);
\draw(30:36pt) node[inner sep=1pt]{\small $60^\circ$};
\end{tikzpicture}\kotae{2\sqrt{7}}
}%

\vfill


\end{document}
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