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%%
%% �������@�������當�����͂��܂�܂��@������
%%
%% white �� black�@�̒u������������Ɩ͔͉𓚗p�����ł��܂��B
%%
%%
\begin{document}
\twocolumn[%
  \begin{center}
    \Large\bf $3$�N~������
  \end{center}
  \begin{flushright}
    \underline{\hspace{1cm}}�N\underline{\hspace{1cm}}�g\underline{\hspace{1cm}}��
    \hspace{1zw}����\underline{\hspace{5cm}}
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\parindent = 0zw 
%%������}
%���ӁD�𓚂͂��ׂĉ𓚗p���ɋL�����Ȃ����B

\begin{enumerate}

\item \fbox{�@�@�@}�ɂ��Ă͂܂錾�t�܂��͐��⎮�������Ȃ����B

\begin{enumerate}

\item ���鐔$x$��$2$�悷���$a$�ɂȂ�Ƃ��C���Ȃ킿\fbox{�@\ajMaru{1}�@}�ł���Ƃ��C$x$��$a$�̕������Ƃ����B
���̐��̕������͐��C����$2$�����肻��\fbox{�@\ajMaru{2}�@}�͓������B
$0$�̕�������$0$�����ł���B

\item $a$�����̐��̂Ƃ��C$a$�̕��������C�L��$\sqrt{\mathstrut~~}$���g���āC���̕���\fbox{�@\ajMaru{3}�@}�C
���̕���\fbox{�@\ajMaru{4}�@}�ƕ\���B

\item $9$�̕������͍������g����\fbox{�@\ajMaru{5}�@}�ƕ\�����Ƃ��ł��邪�C�����\fbox{�@\ajMaru{6}�@}���Ӗ����Ă���B
���̂悤�ɁC�������̒��ɂ͍������g�킸�ɕ\�����Ƃ��ł��鐔������B
%�Ⴆ��$\dfrac{2}{\>7\>}$�͏����ɒ�����\fbox{�@\ajMaru{6}�@}�ƂȂ邩��C\fbox{�@\ajMaru{5}�@}�ł��B

\end{enumerate}

\vspace{1mm}
\begin{tabular}{|@{\vrule width 0.4pt}c@{}|c|@{}c@{}|c|@{\vrule width 0.4pt}}
\noalign{\hrule height 0.4pt}\hline
& \hspace{33mm} & & \hspace{33mm} \\[-8pt]
~\ajMaru{1}~ & \color{white}{$x^2=a$} & ~\ajMaru{2}~ &  \color{white}{��Βl} \\[-8pt]
& & & \\
\hline
& & & \\[-8pt]
~\ajMaru{3}~ & \color{white}{$\sqrt{\,a\,}$} & ~\ajMaru{4}~ & \color{white}{$-\sqrt{\,a\,}$} \\[-8pt]
& & & \\
\hline
& & & \\[-8pt]
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& & & \\
\noalign{\hrule height 0.4pt}\hline
\end{tabular}

%\item ���̐��͗L�����ł����C�������ł����B�L�����̂Ƃ��ɂ́��C�������̂Ƃ��ɂ́~�������Ȃ����B
%
%$\dfrac{\,12\,}{7}~~-0.09~~\sqrt{\,6\,}~~\sqrt{\,16\,}~~-\sqrt{\,5\,}$
%
%%\vspace{2mm}
%\hspace{-7mm}
%\begin{tabular}{|@{\vrule width 0.3pt \hspace{2,5mm}}c|c|c|c|@{\vrule width 0.3pt}}
%\noalign{\hrule height 0.3pt}\hline
% & ~\hspace{30mm}~ & & ~\hspace{30mm}~ \\[-8pt]
%(1) & {\color{white}{��}} & (2) & {\color{white}{$8$}} \\[-8pt]
% & & & \\
%\hline
% & & & \\[-8pt]
%(3) & {\color{white}{$3$}} & (4) & {\color{white}{��}} \\[-8pt]
% & & & \\
%\noalign{\hrule height 0.3pt}\hline
%\end{tabular}\\

%%�������̌v�Z
\item ���̎����v�Z���Ȃ����B(�󗓂Ɍv�Z�������Ȃ����B)

\begin{enumerate}

\item $\sqrt{\,7\,} \times \sqrt{\,2\,}$

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\item $2\sqrt{\,3\,} \times (-3\sqrt{\,5\,})\times \sqrt{\,10\,}$

\vfill
\LINEK{-30\sqrt{\,6\,}}

\item $4\sqrt{\,2\,}+2\sqrt{\,3\,}-\sqrt{\,2\,}+\sqrt{\,3\,}$

\vfill
\LINEK{3\sqrt{\,2\,}+3\sqrt{\,3\,}}

\item $\sqrt{\,72\,}-\sqrt{\,8\,}+3\sqrt{\,18\,}$

{\color{white}{$=6\sqrt{\,2\,}-2\sqrt{\,2\,}+9\sqrt{\,2\,}$}}

\vfill
\LINEK{13\sqrt{\,2\,}}

\item $\dfrac{\,\sqrt{\,10\,}\,}{6}\times 3\sqrt{\,6\,}\div \dfrac{\,\sqrt{\,5\,}\,}{2}$

{\color{white}{$=\dfrac{\,\sqrt{\,10\,}\,}{6}\times 3\sqrt{\,6\,}\times \dfrac{2}{\,\sqrt{\,5\,}\,}$}}

\vfill
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\item $\sqrt{\,50\,}-\dfrac{8}{\,\sqrt{\,2\,}\,}+\sqrt{\,72\,}$

{\color{white}{$=5\sqrt{\,2\,}-4\sqrt{\,2\,}+6\sqrt{\,2\,}$}}

\vfill
\vfill
\LINEK{\,7\sqrt{\,2\,}}

\item $(2\sqrt{\,2\,}+3)(3-2\sqrt{\,2\,})$

{\color{white}{$=6\sqrt{\,2\,}-8+9-6\sqrt{\,2\,}$}}

\vfill
\vfill
\LINEK{1}

\end{enumerate}


\newpage

\item ����4�̐��̑召���C�s�������g���ĕ\���Ȃ����B

$\dfrac{2}{\,5\,}~,~\dfrac{\,\sqrt{\,2\,}\,}{5}~,~\dfrac{2}{\,\sqrt{\,5\,}\,}~,~\sqrt{\,\dfrac{2}{\,5\,}\,}$

\hspace{-5mm}���l������
{\color{white}{$\dfrac{\sqrt{\,4\,}}{\,5\,}~,~\dfrac{\,\sqrt{\,2\,}\,}{5}~,~\dfrac{\,\sqrt{\,20\,}\,}{5}~,~\dfrac{\,\sqrt{\,10\,}\,}{5}$}}

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%%�������̈Ӗ��̉��p
\item ���̖₢�ɓ����Ȃ����B

\begin{enumerate}

%%�ߎ��l�v�Z
\item $a=3-\sqrt{\,3\,}$�̂Ƃ�$a^2-6a+9$�̎��̒l�����߂Ȃ����B

\hspace{-10mm}���l������

{\color{white}{
\begin{tabular}{@{}r@{}c@{}l@{}}
$a^2-6a+9$ & $\,=\,$ & $(x-3)^2$ \\
& $\,=\,$ & $(3-\sqrt{\,3\,}-3)^2$ \\
& $\,=\,$ & $(-\sqrt{\,3\,})^2$ \\
\end{tabular}
}}

\LINEK{3}

\item $\sqrt{\>5\>}=2.236, �܂���\sqrt{\>50\>}=7.071$�𗘗p����$\sqrt{\>2000\>}$�̒l�����߂Ȃ�
���B

\hspace{-10mm}���l������

{\color{white}{
\begin{tabular}{@{}r@{}c@{}l@{}}
$\sqrt{\,2000\,}$ & $\,=\,$ & $20\sqrt{\,5\,}$ \\
& $\,=\,$ & $20\times 2.236$ \\
\end{tabular}
}}

\LINEK{44.72}

\item $\sqrt{\,\dfrac{\,45\,}{2}n\,}$�����R���ƂȂ鎩�R��$n$������������3���߂Ȃ����B

\hspace{-10mm}���l������


{\color{white}{$45=3^2\times 5$�ƕ�������$1,4,9$���}}


\LINEK{10,40,90}

%\item $\dfrac{3}{\,13\,}$���z�����ɂȂ邱�Ƃ������Ȃ����B
%
%���l������
%
%{\color{white}{$\dfrac{3}{\,13\,}=0.230769230769\cdots$}}
%
%\LINEK{0.230769230769\cdots}

\end{enumerate}

\item ���̐}�͔��a��3\ajLig{cm}��5\ajLig{cm}�̉~�ł��B
����$2$�̉~�̖ʐς̘a�ɓ������~����肽���Ǝv���܂��B
���a����\ajLig{cm}�ɂ���΂悢�ł����B

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������������ѓ��� \\
{\color{white}{���߂�~�̔��a��$r$\ajLig{cm}�Ƃ����}} \\
{\color{white}{
\begin{tabular}{@{}r@{}c@{}l@{}}
$\pi r^2$ & $\,=\,$ & $34\pi$ \\
$r^2$ & $\,=\,$ & $34$ \\
$r$ & $\,=\,$ & $\pm \sqrt{\,34\,}$ \\
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{\color{white}{$r>0$���$r=-\sqrt{\,34\,}$�͕s�K}}\\
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\end{enumerate}
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