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<p>⇒ã<a href="https://arakannotie.com/wp-content/uploads/2018/10/2018saitama.pdf" rel="noopener" target="_blank">2018å¼ççç«é«çå¦æ ¡å ¥è©¦åé¡</a></p>
<p>æåã«ãä¼ããã¦ããã¾ãã</p>
<p>ã\(\large{\color{magenta}{\fbox{å¹³åç¹ï¼44.0}}}\)</p>
<p>ããã¯ä¿¡ããããªããã¨ãããæ®éã«å¯¾çããã°ããå¾ãªãæ°åã§ãã<br />
ç¾æç¹ã§å¹³åç¹ãã¨ããªãã¨æãã人ã¯ã<br />
æç§æ¸ç¨åº¦ã®åºç¤åé¡ã ãã§å¿ ãå°éã§ããããã«ãªãã¾ãã®ã§<span class="red b">絶対ã«ãããããªãã§ãã ãã</span>ã</p>
<p>ãã ããããã§ãã解説ã¯æéã®éãããã1åéãã®èª¬æã«ãªãã®ã§ãã¾ãæå¾ ããªãã§ä¸ããã<br />
ä½ã§ãããã§ãããæå¾ ããã¨ãããªãã¨ã¯ããã¾ãããç¬</p>
<p>â»ï¼ä¾é ¼äººã®æ³¨éï¼<br />
éä¸ã§ä½è¨ãªèª¬æå ¥ãã¦ãã¿ã¾ããã<br />
ã塾ã«è¡ã£ã¦ãã¦å¹³åç¹ãç®æ¨ã«ãã¦ãããåéã¸ã®ãã¬ã¼ã³ãã§ãããï¼<br />
大ããªå£°ã§ã¯è¨ãã¾ãããããã®å¡¾ãããæ¹ãè¯ãã§ãããã<br />
ã¨ãã£ããã£ã¦ãã¾ãããç¬<br />
模æ¬è©¦é¨ãªã©ã§çå¾ã«æ®éã«æºç¹åãããæ¹ãªã®ã§ãå¹æã®åºãªãã親ã®æ°ä¼ã塾éãããå«ããªæ¹ã§ãã</span></p>
<h4>第1åï¼å°åéåï¼ã®è§£èª¬</h4>
<h5>æåå¼ã®è¶³ãç®</h5>
<p>ã<div class="su-note" style="border-color:#dbd4dd;border-radius:3px;-moz-border-radius:3px;-webkit-border-radius:3px;"><div class="su-note-inner su-u-clearfix su-u-trim" style="background-color:#f5eef7;border-color:#ffffff;color:#000000;border-radius:3px;-moz-border-radius:3px;-webkit-border-radius:3px;"><br />
(1)ã\(4x+x\)ããè¨ç®ããªããã<br />
</div></div></p>
<p>æ®éã«åé¡é ãã¾ã¨ããã ãã§ããã<br />
ä¿æ°ã®è¶³ãç®ã«ãªãã¾ããã\(x\) ã¨ããé ã«ã¯ä¿æ°1ãçç¥ããã¦ãããã¨ãå¿ããªãããã«ãã¾ãããã</p>
<p>ã\(4x+x=(4+1)x=\underline{5x}\)</p>
<h5>å æ¸ä¹é¤ã®åªå é ä½</h5>
<p>ã<div class="su-note" style="border-color:#dbd4dd;border-radius:3px;-moz-border-radius:3px;-webkit-border-radius:3px;"><div class="su-note-inner su-u-clearfix su-u-trim" style="background-color:#f5eef7;border-color:#ffffff;color:#000000;border-radius:3px;-moz-border-radius:3px;-webkit-border-radius:3px;"><br />
(2)ã\(6-4\div(-2)\)ããè¨ç®ããªããã<br />
</div></div></p>
<p>ããã¯ç®æ°ã¨åãã§è¨ç®é åºãééããªãããã«ãã¾ãããã<br />
<span class="red b">ããç®ãå²ãç®ã¯ã足ãç®ãå¼ãç®ããå </span>ã§ãã</p>
<p>ã\(6-4\div(-2)\\ \\<br />
=6-\{4\div (-2)\}\\ \\<br />
=6-(-2)\\ \\<br />
=6+2=\underline{8}\)</p>
<p>ç§ã®çå¾ã®ããã«<span class="red b">å²ãç®ãéæ°ã®ããç®</span>ã¨ãããã¨ãã¯ã»ã¥ãã¦ãã人ã¯ãéã£ãæ¹æ³ã«ãªãã¾ããã©ã¡ãã§ãè¯ãã§ãã</p>
<p>ã\(6-4\div(-2)\\ \\<br />
\displaystyle =6-4\times \left(-\frac{1}{2}\right)\\ \\<br />
=6+2=\underline{8}\)</p>
<h5>æåå¼ã®ä¹æ³é¤æ³</h5>
<p>ã<br />
ã<div class="su-note" style="border-color:#dbd4dd;border-radius:3px;-moz-border-radius:3px;-webkit-border-radius:3px;"><div class="su-note-inner su-u-clearfix su-u-trim" style="background-color:#f5eef7;border-color:#ffffff;color:#000000;border-radius:3px;-moz-border-radius:3px;-webkit-border-radius:3px;"><br />
(3)ã\(16a^2b\div (-8b)\times a\)ããè¨ç®ããªããã<br />
</div></div></p>
<p>æåå¼ã®è¨ç®ã§ãã<br />
ãããç¿ã£ãæ¹æ³ã«ãã£ã¦éãè¨ç®æ¹æ³ã«ãªãã¾ãããã©ã¡ãã§ãè¯ãã§ãã<br />
ããç®å²ãç®ã ããªã®ã§é çªã«è¨ç®ãã¾ãã</p>
<p>ã\(16a^2b\div (-8b)\times a\\ \\<br />
=-2a^2\times a\\ \\<br />
=\underline{-2a^3}\)</p>
<p>å²ãç®ã¯éæ°ã®ããç®ã¨ãã¦ãã人ã¯ã</p>
<p>ã\(16a^2b\div (-8b)\times a\\ \\<br />
\displaystyle =\frac{\color{red}{16}a^2\color{blue}{b}\times a}{-\color{red}{8}\color{blue}{b}}ã←ï¼\color{red}{ç´åå©ç¨}ï¼\\ \\<br />
=-2a^2\times a\\ \\<br />
=\underline{-2a^3}\)</p>
<p>ãã®ç¨åº¦ã®æåå¼ã ã¨å·®ã¯åºã¾ãããã<br />
æåå¼ãããããããå ´åã¯åæ°ã«ããã¨ãã¹ã¦åãæ¹æ³ã§çæéã§çµããã¾ãã</p>
<p>符å·ï¼ï¼ãï¼ï¼ã«ã¯æ°ãã¤ãã¦ããã¾ãããã</p>
<h5>ç¡çæ°ã®æçåã¨æ¸æ³</h5>
<p>ã<div class="su-note" style="border-color:#dbd4dd;border-radius:3px;-moz-border-radius:3px;-webkit-border-radius:3px;"><div class="su-note-inner su-u-clearfix su-u-trim" style="background-color:#f5eef7;border-color:#ffffff;color:#000000;border-radius:3px;-moz-border-radius:3px;-webkit-border-radius:3px;"><br />
(4)ã\(\displaystyle \frac{9}{\sqrt{3}}-2\sqrt{3}\)ããè¨ç®ããªããã<br />
</div></div></p>
<p>ç¡çæ°ã®è¨ç®ç¢ºèªåé¡ã§ããåæ¯ã®æçåã¨è¶³ãç®ã§ãã</p>
<p>åæ¯ã®æçåã®èª¬æã¯å¿ è¦ã¯ãªãã¨æãã¾ãããã¦ãããã«ãã£ã¦ããã¾ãã</p>
<p>ã\(\displaystyle \frac{9}{\sqrt{3}}-2\sqrt{3}\\ \\<br />
\displaystyle =\frac{9\times \color{red}{\sqrt{3}}}{\sqrt{3}\times \color{red}{\sqrt{3}}}-2\sqrt{3}ã←ï¼\color{red}{æçåã§ã}ï¼\\ \\<br />
\displaystyle =\frac{\color{blue}{9}\times \sqrt{3}}{\color{blue}{3}}-2\sqrt{3}ã←ï¼\color{blue}{ç´åã§ã}ï¼\\ \\<br />
=\color{magenta}{3}\sqrt{3}-\color{magenta}{2}\sqrt{3}ã←ï¼ã«ã¼ãã®ä¸ãåããªã®ã§æ´æ°é¨åã®å¼ãç®ï¼\\ \\<br />
=\underline{\sqrt{3}}\)ã</p>
<p>åé¡ã®æåã®ãã¼ã¸ã«æ¸ãã¦ããã¾ãããç¡çæ°ã¯ãã®ã¾ã¾ã§è¯ãã¨ããã¾ãã<br />
æ®éã¯è¿ä¼¼ãã¾ããã®ã§åé¡ã«æ¸ãã¦ããªãã¦ãç¡çæ°ã®ã¾ã¾ã§è¯ãã§ããã<br />
ãã ãã<span class="red b">åæ¯ã®ç¡çæ°ã¯æçåãã</span>ããã«æ示ããã¾ãã</p>
<h5>å æ°å解ã®æ³¨ç®ãã¤ã³ã</h5>
<p>ã<div class="su-note" style="border-color:#dbd4dd;border-radius:3px;-moz-border-radius:3px;-webkit-border-radius:3px;"><div class="su-note-inner su-u-clearfix su-u-trim" style="background-color:#f5eef7;border-color:#ffffff;color:#000000;border-radius:3px;-moz-border-radius:3px;-webkit-border-radius:3px;"><br />
(5)ã\(x^2+x-12\)ããå æ°å解ããªããã<br />
</div></div></p>
<p>å æ°å解ã®ç¬¬ä¸æ©ã¯å ±éå æ°ã®æãåºãã§ããããã¾ããã®ã§ã<br />
å®æ°é ã®ã\(-12\)ã㨠\(x\) ã®1次ã®é ã®ä¿æ°ã\(+1\)ãã«çç®ãã¾ãã</p>
<p>ããã¦ã\(12\)ãã¨ãªãã<br />
足ã足ãå¼ããããã¦ã\(+1\)ãã¨ãªãçµã¿åãããæ¢ãã¾ãã</p>
<p>ããã¦ã\(12\)ãã¨ãªãã®ã¯<br />
ã\(\color{black}{\fbox{1 × 12}}\) ã\(\color{black}{\fbox{2 × 6}}\) ã\(\color{red}{\fbox{3 × 4}}\)<br />
å¾ã¯éã«ãªãã ããªã®ã§ãã®çµã¿åããã ãã§è¯ãã§ãã<br />
å®æ°é ã¯-12ãªã®ã§ã©ã¡ããã«ãï¼ããã¤ãã¦ãå ããã¨ï¼1ã«ãªãã®ã¯ã<br />
ã\(\color{red}{\fbox{(-3) × 4}}\)ãã§ãã</p>
<p>ã ãã<br />
ã\(x^2+x-12=\underline{(x-3)(x+4)}\)</p>
<p>åé¡ã«ãå æ°å解ããªããããã¨ããã°å¿ ãå æ°å解ã§ãã¾ãã<br />
å æ°å解ããå¾ãå±éãã¦<span class="red b">åé¡ã¨åãå¼ã«ãªãã°æ£è§£</span>ã§ãã</p>
<h3>é£ç«æ¹ç¨å¼ãä»£å ¥æ³ã§è§£ãã¨ãã®è¨ç®ãã¹ãæ¸ããã³ã</h3>
<p>ã<div class="su-note" style="border-color:#dbd4dd;border-radius:3px;-moz-border-radius:3px;-webkit-border-radius:3px;"><div class="su-note-inner su-u-clearfix su-u-trim" style="background-color:#f5eef7;border-color:#ffffff;color:#000000;border-radius:3px;-moz-border-radius:3px;-webkit-border-radius:3px;"><br />
(6)ãé£ç«æ¹ç¨å¼ã\( \begin{cases}<br />
 2x-3y=11\\<br />
 y=x-4\\<br />
\end{cases}\)ãã解ããªããã<br />
</div></div></p>
<p><span class="red b">é£ç«æ¹ç¨å¼ã®è§£ãæ¹ã®åºæ¬ã¯ä¸æåæ¶å»</span>ã§ãã</p>
<p>ã\(y=x-4\)ããã\(-x+y=-4\)ãã¨ãã¦ã<br />
å æ¸æ³ã使ãã¾ããããã§ã¯ä»£å ¥æ³ãæ©ãã§ãããã</p>
<p>ã\( \begin{cases}<br />
 2x-3y=11\\<br />
 y=x-4\\<br />
\end{cases}\)</p>
<p>ã\( 2x-3y=11\)ãã® \(y\) ã«ã\(y=\color{red}{x-4}\)ããä»£å ¥ãã¾ãã<br />
ä»£å ¥ããã¨ãã®ãã¤ã³ãã¯ç¬¦å·ã«é¢ä¿ãªãï¼ãã£ãï¼ãã¤ãããã¨ã§ãããããã®èªè ã«ã¯ãä¼ããã¦ãã¾ãããã</p>
<p>ä»£å ¥ããã¨ãã¯ãã£ãã¤ããã¨ãã¹ãæ¸ãã¾ãã</p>
<p>ã\(\begin{eqnarray}<br />
2x-3y&#038;=&#038;11\\<br />
2x-3\color{red}{(x-4)}&#038;=&#038;11ãï¼ä»£å ¥ï¼\\<br />
2x-3x\color{red}{+12}&#038;=&#038;11ãï¼ç¬¦å·æ³¨æï¼\\<br />
2x-3x&#038;=&#038;11\color{red}{-12}ãï¼ç§»é ï¼\\<br />
-x&#038;=&#038;-1\\<br />
x&#038;=&#038;1<br />
\end{eqnarray}\)</p>
<p>ããã§çµãã£ãããã¡ã§ããã<br />
ãé£ç«æ¹ç¨å¼ã解ããªãããããªã®ã§ã\(y\)ããæ±ãã¾ãã<br />
ï¼è§£çç¨ç´ã«ããã®ã§å¿ãããã¨ã¯ãªãã§ããããã©ãï¼</p>
<p>ã\(y=x-4\)ãã«ã\(x=1\)ããä»£å ¥ããã®ãæ©ãã§ãããã</p>
<p>ã\(y=x-4\\<br />
=(1)-4\\<br />
=1-4\\<br />
=-3\)</p>
<p>çãã\(\underline{x=1\,,\,y=-3}\)</p>
<h4>ï¼æ¬¡æ¹ç¨å¼ã®è§£ãæ¹é åºã¨è§£ã®å ¬å¼</h4>
<p>ã<div class="su-note" style="border-color:#dbd4dd;border-radius:3px;-moz-border-radius:3px;-webkit-border-radius:3px;"><div class="su-note-inner su-u-clearfix su-u-trim" style="background-color:#f5eef7;border-color:#ffffff;color:#000000;border-radius:3px;-moz-border-radius:3px;-webkit-border-radius:3px;"><br />
(7)ã\(3x^2-x-1=0\)ãã解ããªããã<br />
</div></div></p>
<p>ãæ¹ç¨å¼ã解ããªããããã¨ãããã¨ã¯ã<br />
ãã®æ¹ç¨å¼ãæºãã \(x\) ãæ±ããªãããã¨ãããã¨ã§ãã<br />
<span class="red b">æ¹ç¨å¼ã®è§£ã¨ã¯ãã®æ¹ç¨å¼ãæºãããã®</span>ã®ãã¨ãªã®ã§ã<br />
ãæ¹ç¨å¼ã®è§£ãæ±ããªããããã¨åãã§ãã</p>
<p>ï¼æ¬¡æ¹ç¨å¼ã解ãã¨ãã¯å æ°å解ãå©ç¨ããã®ãåªå ã§ããã<br />
ãã®ï¼æ¬¡æ¹ç¨å¼ã¯å æ°å解ã§ãã¾ããã</p>
<p>解ã®å ¬å¼ã®ç¢ºèªåé¡ã§ãã</p>
<p>ï¼æ¬¡æ¹ç¨å¼ã\(ax^2+bx+c=0\)ãã®è§£ã¯<br />
ã\(\large{\displaystyle \color{red}{x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}}} \)<br />
å°ãæ¹ã¯ããã¤ãããã¾ãããè¦ããæ¹ãã¯ããã§ãã<br />
試é¨ä¸ã«å°ãã«ã¯è©¦é¨æéããã£ãããªãã</p>
<p>è¦ãæ¹ã¯ç°¡åã§ãã<br />
解ã®å ¬å¼ã声ã«åºãã¦ï¼ï¼åå±ããããããæ°æ¥éãã£ã¦ãã ããã<br />
ããã¨ãã¯ã¹ã¤ã³ã¼ã«ã»2aåã®ã»ãã¤ãã¹bãã©ã¹ãã¤ãã¹ã«ã¼ãbã®2ä¹ãã¤ãã¹4acã<br />
åæã«å£ãè¦ãã¦ããã¾ãã</p>
<p>ã\(3x^2-x-1=0\)ãã¯<br />
ã\(\color{red}{a=3}\,,\,\color{blue}{b=-1}\,,\,\color{magenta}{c=-1}\)ã<br />
ãªã®ã§ããããã解ã®å ¬å¼ã«ä»£å ¥ãã¦ããã¾ãã</p>
<p>ã\(\displaystyle x=\frac{-(\color{blue}{-1})\pm \sqrt{(\color{blue}{-1})^2-4\cdot (\color{red}{3})\cdot (\color{magenta}{-1})}}{2\times \color{red}{3}}\\<br />
\displaystyle =\frac{1\pm \sqrt{1+12}}{6}\\<br />
\displaystyle =\frac{1\pm \sqrt{13}}{6}ãï¼çãï¼\)ã</p>
<h4>2ä¹ã«æ¯ä¾ããé¢æ°ã®æ¯ä¾å®æ°ã®æ±ºå®ã¨æãè¾¼ã¿æ³¨æç¹</h4>
<p>ã<div class="su-note" style="border-color:#dbd4dd;border-radius:3px;-moz-border-radius:3px;-webkit-border-radius:3px;"><div class="su-note-inner su-u-clearfix su-u-trim" style="background-color:#f5eef7;border-color:#ffffff;color:#000000;border-radius:3px;-moz-border-radius:3px;-webkit-border-radius:3px;"><br />
(8)ãé¢æ° \(y=ax^2\)ãã«ã¤ãã¦ï¼\(x\) ã®å¤åãã\(-1≦x≦2\)ãã®ã¨ãï¼\(y\) ã®å¤åã¯ã\(ï¼8≦y≦0\)ãã¨ãªãã¾ããããã®ã¨ãï¼\(a\) ã®å¤ãæ±ããªããã<br />
</div></div></p>
<p>2次é¢æ°ãæ¾ç©ç·ã®åé¡ã§ãã<br />
é¢æ°ã®åé¡ã«åãçµãã¨ãã¯ã°ã©ããã§ããã ãæ¸ããã¨ã§ãã<br />
é¢æ°å ¨ä½ã§ã¯ãã£ã¨ãããã¨ã¯ããã¾ãããå¾ã®åé¡ã«ããã¾ãã®ã§ããã§èª¬æãã¾ãã</p>
<p>ã\(y=ax^2\)ãã®ã°ã©ã㯠\(a\) ãæ£ã®ã¨ãã¨è² ã®ã¨ãã§å½¢ãä¸ä¸éã«ãªãã¾ãã</p>
<p>ã\(a\) ãæ£ã®ã¨ãã¯ä¸ã«å¸ï¼ä¸ã«éãï¼å½¢<br />
ã\(a\) ãè² ã®ã¨ãã¯ä¸ã«å¸ï¼ä¸ã«éãï¼å½¢</p>
<p><img src="https://arakannotie.com/wp-content/uploads/2018/10/houbutusen1.jpg" alt="" width="374" height="391" class="aligncenter size-full wp-image-12572" /></p>
<p>ã«ãªãã¾ãã</p>
<p> ã\(y\) ã®å¤åã¯ã\(\color{red}{ï¼8≦y≦0}\)</p>
<p>ã¨ãªãã¨ããã° \(a\) ã¯<span class="red b">è² ã®ã¨ã</span>ããããå¾ã¾ããã</p>
<p>ããã§å©ç¨ã§ããã®ãå¼ççã®å ´åã¯ãå¥ç´ãã§ãã<br />
解çç¨ç´ã¨å¥ã«è¨ç®ç¨ç´ã¨ãã¦å¥ç´ãé ããã¾ãã®ã§ããã®ç´ã«å¤§ã¾ããªã°ã©ããæ¸ãã¦ã¿ãã¨ããã«ãããã¾ãã</p>
<p>ã\(x\) ã®å¤åãã\(-1≦x≦2\)ãã®ã¨ãï¼\(y\) ã®å¤åã¯ã\(ï¼8≦y≦0\)</p>
<p>ãã°ã©ãã«ããã¨ã\(y=ax^2\) ã®ã°ã©ã㯠\(y\) 軸ã軸ã¨ãã¦<span class="red b">å·¦å³å¯¾ç§°</span>ãªã®ã§</p>
<p><img src="https://arakannotie.com/wp-content/uploads/2018/10/houbutusen2.jpg" alt="" width="407" height="347" class="aligncenter size-full wp-image-12573" /></p>
<p>ãããã \(x=2\) ã®ã¨ãã« \(y=-8\) ã¨ãªãã¯ãã§ãã<br />
ï¼åç¹ãæ大㧠\(x=-1\) ã®ã¨ãã¯æ大ãæå°ã«é¢ä¿ããªããï¼</p>
<p>ã\(y=ax^2\) ã®<span class="red b">æ¯ä¾å®æ°ã¯åç¹ä»¥å¤ã®1ç¹ãä»£å ¥ããã°æ±ºã¾ã</span>ã®ã§ã<br />
\((\,x\,,\,y\,)=(\,2\,,\,-8\,)\)ããã\(y=ax^2\)ãã«ä»£å ¥ãã¦ã</p>
<p>ã\(-8=a(2)^2=4a\)ãããããã\(\underline{a=-2}\)ã</p>
<p>é¢æ°ã§ã¯æãè¾¼ã¿ã¯ç¦ç©ã§ãã®ã§ãã§ããã ãã°ã©ãã¯æ¸ãã¦èããããã«ãã¾ãããã</p>
<p>ã\(y=ax^2\)ãã®é¢æ°ã§ãæ¯ä¾ãåæ¯ä¾ã¨åãã§\(\color{red}{å®æ° a}\) ã<span class="green b">æ¯ä¾å®æ°</span>ã¨ããã®ã¯ç¢ºèªãã¦ããã¦ãã ããã</p>
<h5>移é ã¨ã¯ä½ãè¦ãã¦ãã¾ãã</h5>
<p>ã<div class="su-note" style="border-color:#dbd4dd;border-radius:3px;-moz-border-radius:3px;-webkit-border-radius:3px;"><div class="su-note-inner su-u-clearfix su-u-trim" style="background-color:#f5eef7;border-color:#ffffff;color:#000000;border-radius:3px;-moz-border-radius:3px;-webkit-border-radius:3px;"><br />
(9)ãæ¹ç¨å¼ \(3(2x-1)=-9\) ãï¼æ¬¡ã®ããã«è§£ãã¾ããããçå¼ã®ä¸¡è¾ºã«åãæ°ãããã¦ãï¼çå¼ã¯æãç«ã¤ããã¨ããçå¼ã®æ§è³ªã使ã£ã¦ï¼æ¹ç¨å¼ãå¤å½¢ãã¦ããã®ã¯ã©ãã§ãããã¢ï½ã¨ã®ä¸ãã1ã¤é¸ã³ï¼ãã®è¨å·ãæ¸ããªããã<br />
<img src="https://arakannotie.com/wp-content/uploads/2018/10/saitamaikou1.jpg" alt="" width="347" height="204" class="aligncenter size-full wp-image-12574" />ã</div></div></p>
<p>ãã®åé¡ã®ããçå¼ã®ä¸¡è¾ºã«åãæ°ãããã¦ãï¼çå¼ã¯æãç«ã¤ããã¨ããçå¼ã®æ§è³ªã使ã£ã¦ï¼æ¹ç¨å¼ãå¤å½¢ãã¯ãã<span class="red b">移é </span>ãã®ãã¨ã§ãã<br />
移é ã«ã¤ãã¦ã¯ãã§ã«ï¼6ï¼ã§èª¬æãã¦ããã®ã§å¿ è¦ããã¾ããããå度説æãã¦ããã¾ãã</p>
<p>ãæ¹ç¨å¼ \(3(2x-1)=-9\)ãã解ãã¨ãã«ãå±éã㦠\(x\) ã®é ã ãã左辺ã«æ®ãããã«å¤å½¢ãã¾ãã</p>
<p>ã\(\begin{eqnarray}<br />
3(2x-1)&#038;=&#038;-9\\<br />
6x-3&#038;=&#038;-9<br />
\end{eqnarray}\)</p>
<p>ããã§ï¼3ãå³è¾ºã«ç§»é ãããã®ã§ããã符å·ãå¤ãã¦å³è¾ºã«ç§»é ããã®ãæ®éã«ãªã£ã¦ããã¨æãã¾ãããããã¯<span class="red b">両辺ã«ï¼3ãããã¦ãã</span>ã®ã¨åããã¨ã§ãã</p>
<p>ãã\(\begin{eqnarray}<br />
3(2x-1)&#038;=&#038;-9\\<br />
6x-3&#038;=&#038;-9\\<br />
6x-3\color{red}{+3}&#038;=&#038;-9\color{red}{+3}\\<br />
6x&#038;=&#038;-9+3\\<br />
6x&#038;=&#038;-6\\<br />
x&#038;=&#038;-1<br />
\end{eqnarray}\)</p>
<p>ãã®3è¡ç®ãçç¥ãã¦ãåé¡ã¯ããã¾ããã<br />
ãã ãããã§èãã¦ããã®ã¯ãã移é ããã¨ç¬¦å·ãå¤ããæå³ãæãåºãã¦ãã ããããã¨ãããã¨ã§ãã</p>
<p>çãã¯ã\(\underline{ã¤}\)</p>
<p><span class="red b">移é ã¯ä¸¡è¾ºã«çããæ°ãå ãã¦ãã</span>ãã¨ã«ãªãã¾ãã</p>
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<p>ã\(\begin{eqnarray}<br />
6x&#038;=&#038;-6\\<br />
x&#038;=&#038;-1<br />
\end{eqnarray}\)</p>
<p>ããã¯</p>
<p>ã\(\begin{eqnarray}<br />
6x&#038;=&#038;-6\\<br />
6x\times \color{red}{\frac{1}{6}}&#038;=&#038;-6\times \color{red}{\frac{1}{6}}\\<br />
x&#038;=&#038;-1<br />
\end{eqnarray}\)</p>
<p>ããããåºæ¬çãªæä½ã®æå³ãåãåé¡æ§æã¯ãªããªãé¢ç½ãã§ããã<br />
çãã¯åºãããã§ãæ©æ¢°çãã¨ãã人ãå¤ãã§ãããã</p>
<h5>度æ°åå¸è¡¨ããå¹³åå¤ãåºãæ¹æ³</h5>
<p>ã<div class="su-note" style="border-color:#dbd4dd;border-radius:3px;-moz-border-radius:3px;-webkit-border-radius:3px;"><div class="su-note-inner su-u-clearfix su-u-trim" style="background-color:#f5eef7;border-color:#ffffff;color:#000000;border-radius:3px;-moz-border-radius:3px;-webkit-border-radius:3px;"><br />
(10)ã<img src="https://arakannotie.com/wp-content/uploads/2018/10/0001saitamasiryou1.jpg" alt="" width="222" height="208" class="alignright size-full wp-image-12577" />å³ã®è¡¨ã¯ï¼ããã¯ã©ã¹ã®ãã³ããã¼ã«æãã®è¨é²ãï¼åº¦æ°åå¸è¡¨ã«è¡¨ãããã®ã§ãããã®ã¯ã©ã¹ã®ãã³ããã¼ã«æãã®è¨é²ã®å¹³åå¤ãï¼åº¦æ°åå¸è¡¨ããæ±ããªããã</div></div></p>
<p>æ±ãããã®ã¯å¹³åå¤ã§ãã<br />
å¹³åå¤ã¯ç·å¾ç¹ãç·äººæ°ã§å²ã£ããã®ã«ãªãã¾ãã</p>
<p>ã\(\displaystyle \color{red}{å¹³åå¤ï¼\frac{ç·å¾ç¹}{度æ°åè¨}}\)</p>
<p>ãã ãç·å¾ç¹ã度æ°åå¸è¡¨ã§ã¯ã¯ã£ãããã¾ããã<br />
ä¾ãã°ãéç´\(\,10\,\mathrm{m}以ä¸\,20\,\mathrm{m}æªæº\)ã«ã¯6人ãã¾ããããã®6人ã®è·é¢ã¯ããããä½mãªã®ãããã£ã¦ãã¾ããã</p>
<p>ããã§ã度æ°åå¸è¡¨ã§è¡¨ãããå ´åã¯ã<br />
<span class="red b">ãã®éç´ã®äººå ¨å¡ãéç´ã®çãä¸ã®å¤</span>ã¨è¦ãªãã¾ãã</p>
<p>ãã®éç´ã®çãä¸ã®å¤ãã<span class="red b">éç´å¤</span>ãã¨ããã¾ãã<br />
éç´\(\,10\,\mathrm{m}以ä¸\,20\,\mathrm{m}æªæº\)ã®éç´å¤ã¯ \(15\,\mathrm{m}\)ã§ãã<br />
éç´\(\,20\,\mathrm{m}以ä¸\,30\,\mathrm{m}æªæº\)ã®éç´å¤ã¯ \(25\,\mathrm{m}\)ã§ãã</p>
<p>éç´å¤ã®æ±ãæ¹ã¯éç´ã®å·¦ç«¯ï¼å°ããå¤ï¼ã¨å³ç«¯ï¼å¤§ããå¤ï¼ãããã¦2ã§å²ãã°åºã¦ãã¾ãã</p>
<p>ã\(\displaystyle éç´å¤ï¼\frac{éç´ã®å·¦ç«¯ï¼å³ç«¯}{2}\)</p>
<p>éç´å¤ã«åº¦æ°ãããã¦ããã¹ã¦ããã¨ç·å¾ç¹ã¨ãªãã¾ãã</p>
<p>ãéç´å¤ã 5mãã®äººã¯ã\(\color{red}{2}\)人<br />
ãéç´å¤ã15mãã®äººã¯ã\(\color{red}{6}\)人<br />
ãéç´å¤ã25mãã®äººã¯ã\(\color{red}{7}\)人<br />
ãéç´å¤ã35mãã®äººã¯ã\(\color{red}{4}\)人<br />
ãéç´å¤ã45mãã®äººã¯ã\(\color{red}{1}\)人</p>
<p>å¹³åå¤ã¯ã\(\displaystyle \frac{ã(éç´å¤×度æ°)ã®åã}{度æ°åè¨}\)<br />
ãªã®ã§å¹³åå¤ã¯<br />
ã<br />
ã\(\displaystyle \frac{5\times 2+15\times 6+25\times 7+35\times 4+45\times 1}{20}\\<br />
\displaystyle =\frac{10+90+175+140+45}{20}\\<br />
\displaystyle =\frac{460}{20}\\<br />
=23\)</p>
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<td style="text-align: center;">6ï¼ ã®é£å¡©æ°´</td>
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100ï¼6&#038;=&#038;x:a\\<br />
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<p>ã\(\begin{eqnarray}<br />
100:7&#038;=&#038;600:m\\<br />
100\,m&#038;=&#038;7\times 600\\<br />
100\,m&#038;=&#038;4200\\<br />
m&#038;=&#038;\underline{42}<br />
\end{eqnarray}\)</p>
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<p>ã\(\color{magenta}{\fbox{é£å¡©æ°´ã®é}}\)<br />
ã\(\color{red}{\fbox{é£å¡©ã®é}}\)</p>
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ã<span class="red b">6ï¼ ã®é£å¡©æ°´ \(x\) gä¸ã®é£å¡©ã¨ã<br />
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<p>ã10ï¼ ã®é£å¡©æ°´ \(y\) gä¸ã®é£å¡©ã®é \(b\) ã¯ã<br />
æ¯ä¾å¼<br />
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<p>7ï¼ ã®é£å¡©æ°´ \(600\) gä¸ã®é£å¡©ã®éã¯â 㧠\(42\,\mathrm{g}\) ã¨æ±ãã¦ããã®ã§ä½¿ãã¾ãããã</p>
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ããã \(x\,,\,y\) ã®æ¹ç¨å¼ã«ããã¨ã<br />
ã\(\displaystyle \frac{6x}{100}+\frac{10x}{100}=42ã･･･(ã¤)\)</p>
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ã</p>
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<td style="text-align: center;">6ï¼ ã®é£å¡©æ°´</td>
<td style="text-align: center;">10ï¼ ã®é£å¡©æ°´</td>
<td style="text-align: center;">7ï¼ ã®é£å¡©æ°´</td>
</tr>
<tr>
<td>é£å¡©æ°´ã®è³ªé(g)</td>
<td style="text-align: center;">\(x\)</td>
<td style="text-align: center;">\(y\)</td>
<td style="text-align: center;">\(600\)</td>
</tr>
<tr>
<td>é£å¡©ã®å²å</td>
<td style="text-align: center;">\(\displaystyle \frac{6}{100}\)</td>
<td style="text-align: center;">\(\displaystyle \frac{10}{100}\)</td>
<td style="text-align: center;">\(\displaystyle \frac{7}{100}\)</td>
</tr>
<tr>
<td>é£å¡©ã®è³ªé(g)</td>
<td style="text-align: center;">\(\displaystyle \frac{6}{100}\times x\)</td>
<td style="text-align: center;">\(\displaystyle \frac{10}{100}\times y\)</td>
<td style="text-align: center;">\(\displaystyle \frac{7}{100}\times 600\)</td>
</tr>
</tbody>
</table>
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\hspace{7pt} x+y=600\hspace{30pt}･･･(ã¢)\\ \\<br />
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\end{cases}\)</p>
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\displaystyle \frac{6x}{100}+\frac{10y}{100}&#038;=&#038;42\\<br />
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3\,x\,+\,5\,y&#038;=&#038;2100ã･･･(ã¤)&#8217;<br />
\end{eqnarray}\)</p>
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\hspace{7pt} \displaystyle \frac{6x}{100}+\frac{10y}{100}=42\hspace{10pt}<br />
\end{cases}\)</span></p>
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