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<div><p style="text-align: left;"><br></p><p style="text-align: center;"><img src="https://t1.daumcdn.net/cfile/cafe/9913163359C2313F27" class="txc-image" actualwidth="658" hspace="1" vspace="1" border="0" width="658" exif="{}" data-filename="2번이요.png" style="clear:none;float:none;" id="A_9913163359C2313F271B81"/></p><p style="text-align: left;"></p><p style="text-align: left;"><br></p><p style="text-align: left;"><br></p><p style="text-align: left;"><br></p><p style="text-align: left;"><br></p><p style="text-align: left;"><br></p><p style="text-align: left;"><br></p><p style="text-align: left;"><br></p><p style="text-align: left;"><br></p><p style="text-align: left;"><br></p><p style="text-align: left;"><br></p><p style="text-align: left;"><br></p><p style="text-align: left;"><br></p><p style="text-align: left;"><br></p><p style="text-align: left;"><br></p></div><p style="margin-top: 0pt; margin-bottom: 0pt; margin-left: 0in; color: rgb(0, 0, 0); font-family: dotum; line-height: 14pt; direction: ltr; unicode-bidi: embed;"><b><font color="#ff0000"><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);">집합</span><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);"> </span><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);">문제입니다</span><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);">.</span></font></b></p><p style="margin-top: 0pt; margin-bottom: 0pt; margin-left: 0in; color: rgb(0, 0, 0); font-family: dotum; line-height: 14pt; direction: ltr; unicode-bidi: embed;"><span style="font-size: 10pt; font-family: "맑은 고딕";"><br></span></p><p style="margin-top: 0pt; margin-bottom: 0pt; margin-left: 0in; color: rgb(0, 0, 0); font-family: dotum; line-height: 14pt; direction: ltr; unicode-bidi: embed;"><span style="font-size: 10pt; font-family: "맑은 고딕";"><br></span></p><p style="margin-top: 0pt; margin-bottom: 0pt; margin-left: 0in; color: rgb(0, 0, 0); font-family: dotum; line-height: 14pt; direction: ltr; unicode-bidi: embed;"><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);">1</span><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);">번</span><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);"> </span><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);">문제를</span><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);"> </span><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);">푼</span><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);"> </span><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);">학생들의</span><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);"> </span><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);">집합을</span><span style="font-size: 10pt; font-family: "맑은 고딕";"><span style="color: rgb(80, 73, 65);"> </span><span style="color: rgb(80, 73, 65);">A, 2</span></span><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);">번</span><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);"> </span><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);">문제를</span><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);"> </span><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);">푼</span><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);"> </span><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);">학생들의</span><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);"> </span><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);">집합을</span><span style="font-size: 10pt; font-family: "맑은 고딕";"><span style="color: rgb(80, 73, 65);"> </span><span style="color: rgb(80, 73, 65);">B</span></span><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);">라고</span><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);"> </span><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);">한다면</span></p><p style="margin-top: 0pt; margin-bottom: 0pt; margin-left: 0in; color: rgb(0, 0, 0); font-family: dotum; line-height: 14pt; direction: ltr; unicode-bidi: embed;"><span style="font-size: 10pt; font-family: "맑은 고딕";"><br></span></p><p style="margin-top: 0pt; margin-bottom: 0pt; margin-left: 0in; color: rgb(0, 0, 0); font-family: dotum; line-height: 14pt; direction: ltr; unicode-bidi: embed;"><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);">n(A) = 25, n(A</span><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);">∩</span><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);">B)= 10, n(U) = 40</span><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);">이라는</span><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);"> </span><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);">정보를</span><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);"> </span><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);">준</span><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);"> </span><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);">셈입니다</span><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);">.</span></p><p style="margin-top: 0pt; margin-bottom: 0pt; margin-left: 0in; color: rgb(0, 0, 0); font-family: dotum; line-height: 14pt; direction: ltr; unicode-bidi: embed;"><span style="font-size: 10pt; font-family: "맑은 고딕";"><br></span></p><p style="margin-top: 0pt; margin-bottom: 0pt; margin-left: 0in; color: rgb(0, 0, 0); font-family: dotum; line-height: 14pt; direction: ltr; unicode-bidi: embed;"><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);">그리고 이것을 그림으로 나타내면 아래와 같습니다.</span></p><p style="margin-top: 0pt; margin-bottom: 0pt; margin-left: 0in; color: rgb(0, 0, 0); font-family: dotum; line-height: 14pt; direction: ltr; unicode-bidi: embed;"><span style="font-size: 10pt; font-family: "맑은 고딕";"><br></span></p><p style="margin-top: 0pt; margin-bottom: 0pt; margin-left: 0in; color: rgb(0, 0, 0); font-family: dotum; line-height: 14pt; direction: ltr; unicode-bidi: embed;"><br></p><p style="margin-top: 0pt; margin-bottom: 0pt; margin-left: 0in; color: rgb(0, 0, 0); font-family: dotum; line-height: 14pt; direction: ltr; unicode-bidi: embed; text-align: center;"><img src="https://t1.daumcdn.net/cfile/cafe/99BFAD3359C2318F1F" class="txc-image" actualwidth="480" hspace="1" vspace="1" border="0" width="480" exif="{}" data-filename="2015_초등_지역예선_2번_집합.png" style="clear:none;float:none;" id="A_99BFAD3359C2318F1F1137"/></p><p style="margin-top: 0pt; margin-bottom: 0pt; margin-left: 0in; color: rgb(0, 0, 0); font-family: dotum; line-height: 14pt; direction: ltr; unicode-bidi: embed;"><span style="font-size: 10pt; font-family: "맑은 고딕";"><br></span></p><p style="margin-top: 0pt; margin-bottom: 0pt; margin-left: 0in; color: rgb(0, 0, 0); font-family: dotum; line-height: 14pt; direction: ltr; unicode-bidi: embed;"><span style="font-size: 10pt; font-family: "맑은 고딕";"><br></span></p><p style="margin-top: 0pt; margin-bottom: 0pt; margin-left: 0in; color: rgb(0, 0, 0); font-family: dotum; line-height: 14pt; direction: ltr; unicode-bidi: embed;"><span style="font-size: 10pt; font-family: "맑은 고딕";"><br></span></p><p style="margin-top: 0pt; margin-bottom: 0pt; margin-left: 0in; color: rgb(0, 0, 0); font-family: dotum; line-height: 14pt; direction: ltr; unicode-bidi: embed;"><br></p><p style="margin-top: 0pt; margin-bottom: 0pt; margin-left: 0in; color: rgb(0, 0, 0); font-family: dotum; line-height: 14pt; direction: ltr; unicode-bidi: embed;"><span style="color: rgb(80, 73, 65);">여기서</span><span style="color: rgb(80, 73, 65);"> </span><b><span style="font-size: 12pt;"><font color="#0075c8"><span style="color: rgb(80, 73, 65);">파란색</span></font></span></b><span style="color: rgb(80, 73, 65);">으로 칠해진 부분의 인원수에 따라서 집합 B의 크기가 달라집니다.</span></p><p style="margin-top: 0pt; margin-bottom: 0pt; margin-left: 0in; color: rgb(0, 0, 0); font-family: dotum; line-height: 14pt; direction: ltr; unicode-bidi: embed;"><br></p><p style="margin-top: 0pt; margin-bottom: 0pt; margin-left: 0in; color: rgb(0, 0, 0); font-family: dotum; line-height: 14pt; direction: ltr; unicode-bidi: embed;"><span style="color: rgb(80, 73, 65);">파란색 부분은 풀어서 얘기하면, 1번 문제는 틀렸고 2번 문제만 맞은 사람입니다.</span></p><p style="margin-top: 0pt; margin-bottom: 0pt; margin-left: 0in; color: rgb(0, 0, 0); font-family: dotum; line-height: 14pt; direction: ltr; unicode-bidi: embed;"><br></p><p style="margin-top: 0pt; margin-bottom: 0pt; margin-left: 0in; color: rgb(0, 0, 0); font-family: dotum; line-height: 14pt; direction: ltr; unicode-bidi: embed;"><span style="color: rgb(80, 73, 65);">2번 문제만 맞은 사람들은</span><span style="color: rgb(80, 73, 65);"> </span><b><span style="font-size: 12pt; color: rgb(80, 73, 65);">0</span></b><span style="color: rgb(80, 73, 65);">명일 수도 있고 최대</span><span style="color: rgb(80, 73, 65);"> </span><b><span style="font-size: 12pt; color: rgb(80, 73, 65);">15</span></b><span style="color: rgb(80, 73, 65);">명일 수도 있습니다.</span></p><p style="margin-top: 0pt; margin-bottom: 0pt; margin-left: 0in; color: rgb(0, 0, 0); font-family: dotum; line-height: 14pt; direction: ltr; unicode-bidi: embed;"><br></p><p style="margin-top: 0pt; margin-bottom: 0pt; margin-left: 0in; color: rgb(0, 0, 0); font-family: dotum; line-height: 14pt; direction: ltr; unicode-bidi: embed;"><span style="color: rgb(80, 73, 65);">그렇기 때문에 2번 문제를 맞은 사람은 최소 0 + 10 = 10명, 최대 15 + 10 = 25명 입니다.</span></p><p style="margin-top: 0pt; margin-bottom: 0pt; margin-left: 0in; color: rgb(0, 0, 0); font-family: dotum; line-height: 14pt; direction: ltr; unicode-bidi: embed;"><br></p><p style="margin-top: 0pt; margin-bottom: 0pt; margin-left: 0in; color: rgb(0, 0, 0); font-family: dotum; line-height: 14pt; direction: ltr; unicode-bidi: embed;"><span style="font-size: 10pt; font-family: "맑은 고딕";"><br></span></p><p style="margin-top: 0pt; margin-bottom: 0pt; margin-left: 0in; color: rgb(0, 0, 0); font-family: dotum; line-height: 14pt; direction: ltr; unicode-bidi: embed;"><b><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);">공식을</span><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);"> </span><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);">이용한다면</span></b><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);">,</span></p><p style="margin-top: 0pt; margin-bottom: 0pt; margin-left: 0in; color: rgb(0, 0, 0); font-family: dotum; line-height: 14pt; direction: ltr; unicode-bidi: embed;"><br></p><p style="margin-top: 0pt; margin-bottom: 0pt; margin-left: 0in; color: rgb(0, 0, 0); font-family: dotum; line-height: 14pt; direction: ltr; unicode-bidi: embed;"><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);">n(A</span><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);">∪</span><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);">B) =</span><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);"> n(A) + n(B) - n(A</span><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);">∩</span><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);">B)</span></p><p style="margin-top: 0pt; margin-bottom: 0pt; margin-left: 0in; color: rgb(0, 0, 0); font-family: dotum; line-height: 14pt; direction: ltr; unicode-bidi: embed;"><span style="font-size: 10pt; font-family: "맑은 고딕";"><br></span></p><p style="margin-top: 0pt; margin-bottom: 0pt; margin-left: 0in; color: rgb(0, 0, 0); font-family: dotum; line-height: 14pt; direction: ltr; unicode-bidi: embed;"><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);">n(A</span><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);">∪</span><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);">B) = 25 + n(B) - 10 = 15 + n(B) </span><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);">입니다</span><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);">.</span></p><p style="margin-top: 0pt; margin-bottom: 0pt; margin-left: 0in; color: rgb(0, 0, 0); font-family: dotum; line-height: 14pt; direction: ltr; unicode-bidi: embed;"><span style="font-size: 10pt; font-family: "맑은 고딕";"><br></span></p><p style="margin-top: 0pt; margin-bottom: 0pt; margin-left: 0in; color: rgb(0, 0, 0); font-family: dotum; line-height: 14pt; direction: ltr; unicode-bidi: embed;"><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);">25 ≤ n(A</span><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);">∪</span><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);">B) </span><span style="font-family: "맑은 고딕"; font-size: 13.3333px; color: rgb(80, 73, 65);">≤</span><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);"> 40</span><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);">이므로</span><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);">, n(B)</span><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);">는</span><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);"> </span><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);">최소</span><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);">10</span><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);">에서</span><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);"> </span><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);">최대</span><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);">25</span><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);">의</span><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);"> </span><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);">범위를</span><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);"> </span><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);">갖습니다</span><span style="font-size: 10pt; font-family: "맑은 고딕"; color: rgb(80, 73, 65);">. </span></p><p style="margin-top: 0pt; margin-bottom: 0pt; margin-left: 0in; color: rgb(0, 0, 0); font-family: dotum; line-height: 14pt; direction: ltr; unicode-bidi: embed;"><span style="font-size: 10pt; font-family: "맑은 고딕";"><br></span></p><p style="margin-top: 0pt; margin-bottom: 0pt; margin-left: 0in; color: rgb(0, 0, 0); font-family: dotum; line-height: 14pt; direction: ltr; unicode-bidi: embed;"><span style="font-size: 10pt; font-family: "맑은 고딕";"><br></span></p><p style="margin-top: 0pt; margin-bottom: 0pt; margin-left: 0in; color: rgb(0, 0, 0); font-family: dotum; line-height: 14pt; direction: ltr; unicode-bidi: embed;"><span style="font-size: 10pt; font-family: "맑은 고딕";"><br></span></p><p style="margin-top: 0pt; margin-bottom: 0pt; margin-left: 0in; color: rgb(0, 0, 0); font-family: dotum; line-height: 14pt; direction: ltr; unicode-bidi: embed;"><span style="font-size: 10pt; font-family: "맑은 고딕";"><br></span></p><p style="margin-top: 0pt; margin-bottom: 0pt; margin-left: 0in; color: rgb(0, 0, 0); font-family: dotum; line-height: 14pt; direction: ltr; unicode-bidi: embed;"><span style="font-size: 10pt; font-family: "맑은 고딕";"><br></span></p><p style="margin-top: 0pt; margin-bottom: 0pt; margin-left: 0in; line-height: 14pt; direction: ltr; unicode-bidi: embed;"><font color="#000000" face="맑은 고딕"><span style="font-size: 13.3333px;"><br></span></font></p><p style="margin-top: 0pt; margin-bottom: 0pt; margin-left: 0in; line-height: 14pt; direction: ltr; unicode-bidi: embed;"><font color="#000000" face="맑은 고딕"><span style="font-size: 13.3333px;"><br></span></font></p><p style="margin-top: 0pt; margin-bottom: 0pt; margin-left: 0in; line-height: 14pt; direction: ltr; unicode-bidi: embed;"><font color="#000000" face="맑은 고딕"><span style="font-size: 13.3333px;"><br></span></font></p><p style="margin-top: 0pt; margin-bottom: 0pt; margin-left: 0in; line-height: 14pt; direction: ltr; unicode-bidi: embed;"><font color="#000000" face="맑은 고딕"><span style="font-size: 13.3333px;"><br></span></font></p><p style="margin-top: 0pt; margin-bottom: 0pt; margin-left: 0in; line-height: 14pt; direction: ltr; unicode-bidi: embed;"><font color="#000000" face="맑은 고딕"><span style="font-size: 13.3333px;"><br></span></font></p><p style="margin-top: 0pt; margin-bottom: 0pt; margin-left: 0in; line-height: 14pt; direction: ltr; unicode-bidi: embed;"><font color="#000000" face="맑은 고딕"><span style="font-size: 13.3333px;"><br></span></font></p><p style="margin-top: 0pt; margin-bottom: 0pt; margin-left: 0in; line-height: 14pt; direction: ltr; unicode-bidi: embed;"><font color="#000000" face="맑은 고딕"><span style="font-size: 13.3333px;">문제 출처 : <a href="http://www.digitalculture.or.kr/koi/KoiMain.do" target="_blank" class="tx-link">한국정보올림피아드 홈페이지 </a><a href="http://www.digitalculture.or.kr/koi/KoiMain.do" target="_blank" class="tx-link"><a href="http://www.digitalculture.or.kr/koi/KoiMain.do" target="_blank" class="tx-link">http://www.digitalculture.or.kr/koi/KoiMain.do</a></a></span></font></p><p style="margin-top: 0pt; margin-bottom: 0pt; margin-left: 0in; line-height: 14pt; direction: ltr; unicode-bidi: embed;"></p><p style="margin-top: 0pt; margin-bottom: 0pt; margin-left: 0in; line-height: 14pt; direction: ltr; unicode-bidi: embed;"><font color="#000000" face="맑은 고딕"><span style="font-size: 13.3333px;">해설 출처 : <a href="http://cafe.naver.com/studykoi" target="_blank" class="tx-link">한국정보올림피아드 카페 </a><a href="http://cafe.naver.com/studykoi" target="_blank" class="tx-link"><a href="http://cafe.naver.com/studykoi" target="_blank" class="tx-link">http://cafe.naver.com/studykoi</a></a></span></font></p>
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초딩도 푸는문제 - 2015 정보올림피아드 지역예선 초등부 2번 문제
뇌섹남
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17.09.20 18:16
댓글 9
다음검색
첫댓글 최솟값이 10인 선택지가 3번밖에 없어서...
요즘 초딩이면 충분히 풀거같은뎅 초딩이 어디까지 배우는지 모르겠넹
쉽네
후후.. 번호가 높아질수록 난이도가 상승합니다
근데 b만 맞은 학생이 최소 0명이면 나머지 15명은 아예 안풀었다는건가..
아 둘다 못 푼 학생이구나
이건 1점 짜리 문제죠
선택지미스
1번 문제를 못푼 25명 중 한명이 나요.