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%% ※※※　ここから文書がはじまります　※※※
%%
\begin{document}
\twocolumn[%
  \begin{center}
    \Large\bf ３年~式の計算(問題用紙)
  \end{center}
  \begin{flushright}
    \underline{\hspace{1cm}}年\underline{\hspace{1cm}}組\underline{\hspace{1cm}}番
    \hspace{1zw}氏名\underline{\hspace{5cm}}
  \end{flushright}
 \vspace{5mm}]

\parindent = 0zw 
%%相似作図
注意．解答はすべて解答用紙に記入しなさい。

\begin{enumerate}

\item \fbox{　　　}にあてはまる言葉または数や式を書きなさい。

\begin{enumerate}

\item 下の長方形の花壇において、面積をそれぞれ求めると\ajMaru{1}が\fbox{　ア　}(\ajLig{m2})となり、

\ajMaru{2}が\fbox{　イ　}(\ajLig{m2})、\ajMaru{3}が\fbox{　ウ　}(\ajLig{m2})、

\ajMaru{4}が\fbox{　エ　}(\ajLig{m2})となる。
よって４つを組み合わせた大きな長方形の面積は\fbox{　オ　}(\ajLig{m2})となる。

このことから$(a+4)(b+2)=$\fbox{　オ　}が成り立つ。

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%
%       1     147
%     148   12833
%FileTable3.01/0012981

\vspace{-8mm}
\item 自然数がいくつかの整数の積の形で表されるとき、その1つ1つの整数を、
もとの自然数の\fbox{　カ　}といいます。
例えば30の\fbox{　カ　}をすべて求めると\fbox{　キ　}となります。

%\item また$(a+4)(b+3)$のかっこのはずし方で置き換える方法がある。
%これは$b+3=M$と置き換えると元の式は\fbox{　カ　}となり、
%この式に対して分配法則を用いてかっこをはずすと\fbox{　キ　}となり、
%置き換えた$M$を元に戻すと\fbox{　ク　}となる。
%このことからも$(a+4)(b+3)=$\fbox{　オ　}が成り立つことがわかる。
\end{enumerate}

\item 次の式を展開しなさい。
\begin{enumerate}

\item $(2x-3)(y+4)$
\vfill

\item $(x+5)(x-3)$
\vfill

\item $(a-6)(a-3)$
\vfill

\item $(y-3)^2$
\vfill

\item $(4x+3)^2$
\vfill

\end{enumerate}

\item 次の式を因数分解しなさい。
\begin{enumerate}

\item $4a^2-6a$
\vfill

\item $x^2-8x+15$
\vfill

\item $a^2+12ab+36b^2$
\vfill

\item $25x^2-1$
\vfill

\item $-2x^3+8x^2-8x$
\vfill

\end{enumerate}

\newpage

\item 次の数を素因数分解し指数を使って表しなさい。

\begin{enumerate}

\item $24$
\vfill
\vfill

\item $36$

\vfill
\vfill

\item $2009$

\vfill
\vfill

\end{enumerate}

\item 乗法公式を利用して、次の計算をしなさい。

\begin{enumerate}
\item $102\times 102-98\times 98$
\vfill
\vfill

\item $201^2$
\vfill
\vfill

\end{enumerate}

\item 90にできるだけ小さい自然数をかけて、その積がある自然数の2乗になるようにします。
どんな数をかければいいか答えなさい。
\vfill
\vfill
\vfill

\item 連続する2つの奇数の大きい方の数の2乗から小さい方の数の2乗をひいた差は、
8の倍数になります。このことを文字を使って説明しなさい。
\vfill
\vfill
\vfill

\end{enumerate}

\newpage

\twocolumn[%
  \begin{center}
    \Large\bf ３年~式の計算(解答用紙)
  \end{center}
  \begin{flushright}
   \underline{\hspace{1cm}}年\underline{\hspace{1cm}}組\underline{\hspace{1cm}}番
    \hspace{1zw}氏名\underline{\hspace{5cm}}
  \end{flushright}
 \vspace{5mm}]

\parindent = 0zw 
%%相似作図
\begin{enumerate}

\item 　~

\hspace{-5mm}
\begin{tabular}{|c|c|c|c|}
\hline
 & & & \\[-8pt]
ア &  ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~& イ & ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\\[-8pt]
 & & & \\
\hline
 & & & \\[-8pt]
ウ &  ~~~~~~~~~~~~~~~~~~~~~~& エ & ~~~~~~~~~~~~~~~~~~~~~~\\[-8pt]
 & & & \\
\hline
 & \multicolumn{3}{l|}{  } \\[-8pt]
オ &  \multicolumn{3}{l|}{  } \\[-8pt]
 & \multicolumn{3}{l|}{  } \\
\hline
 &  \\[-8pt]
カ &  ~~~~~~~~~~~~~~~~~~~~~~ \\[-8pt]
 & \\
\hline
 & \multicolumn{3}{l|}{  } \\[-8pt]
キ &  \multicolumn{3}{l|}{  } \\[-8pt]
 & \multicolumn{3}{l|}{  } \\
\hline
\end{tabular}\\

\item 　~~~~~~~~~~~~~~~~
\begin{enumerate}

\item $(2x-3)(y+4)$
\vfill
\LINE

\item $(x+5)(x-3)$
\vfill
\LINE

\item $(a-6)(a-3)$
\vfill
\LINE

\item $(y-3)^2$
\vfill
\LINE

\item $(4x+3)^2$
\vfill
\LINE

\end{enumerate}

\item 　~~~~~~~~~~~~~~~~

\begin{enumerate}

\item $4a^2-6a$
\vfill
\LINE

\item $x^2-8x+15$
\vfill
\LINE

\item $a^2+12ab+36b^2$
\vfill
\LINE

\item $25x^2-1$
\vfill
\LINE

\item $-2x^3+8x^2-8x$
\vfill
\LINE

\end{enumerate}

\newpage

\item 　~~~~~~~~~~~~~~~~

\begin{enumerate}

\item $24$
\vfill
\LINE

\item $36$

\vfill
\LINE

\item $2009$

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\item $102\times 102-98\times 98$

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\item $201^2$

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