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1004padding-right: 25px; 1005line-height: 30px; 1006text-align: justify; 1007} 1008 1009 1010.bola { 1011 border-radius: 50%; 1012 display: inline-block; 1013 height: 8px; 1014 width: 8px; 1015 border: 1px solid #000000; 1016 background-color: #00FFFF; 1017} 1018 1019 1020.pso{ 1021margin-top:-20px; 1022margin-bottom:6px; 1023padding-left: 10px; 1024padding-right: 10px; 1025line-height: 30px; 1026text-align: justify; 1027} </style> 1028 </head> 1029 <body class="home blog custom-background layout-boxed two_col_left two-columns"> 1030 1031 <div class="container boxed-wrapper"> 1032 1033 <div id="top-bar" class="row clearfix "> 1034 <div class="col-md-12 top-bar-items"> 1035 1036 1037 1038 </div> 1039 </div> 1040 1041 1042 <div id="header" class="row"> 1043 1044 <img src="https://clubes.obmep.org.br/blog/wp-content/uploads/2012/12/LOGO_ANIMADO_62.gif" alt="Clubes de Matemática da OBMEP" title="Clubes de Matemática da OBMEP" width="" height="" /> 1045 </div> 1046 1047 1048 <nav class="navbar row navbar-inverse"> 1049 1050 <div class="navbar-header align-center"> 1051 <button type="button" class="navbar-toggle collapsed" data-toggle="collapse" data-target="#header-menu-wrap, #secondary-menu-wrap"> 1052 <span class="sr-only">Alternar navegação</span> 1053 <span class="icon-bar"></span> 1054 <span class="icon-bar"></span> 1055 <span class="icon-bar"></span> 1056 </button> 1057 1058 1059 <p class="header_title mobile-only"> 1060 Clubes de Matemática da OBMEP </p> 1061 1062 1063 </div> 1064 1065 <div class="collapse navbar-collapse" id="header-menu-wrap"> 1066 1067 <ul id="header-menu" class="nav navbar-nav flip"><li id="menu-item-32" class="menu-item menu-item-type-custom menu-item-object-custom current-menu-item current_page_item menu-item-32 active"><a href="/blog">InÃcio</a></li> 1068<li id="menu-item-36983" class="menu-item menu-item-type-post_type menu-item-object-page menu-item-36983"><a href="https://clubes.obmep.org.br/blog/sobre/">Sobre os Clubes</a></li> 1069<li id="menu-item-18956" class="menu-item menu-item-type-post_type menu-item-object-page menu-item-18956"><a href="https://clubes.obmep.org.br/blog/sala-de-competicoes/">Competições</a></li> 1070<li id="menu-item-11960" class="menu-item menu-item-type-custom menu-item-object-custom menu-item-11960"><a href="http://clubes.obmep.org.br/blog/informacao/">Fórum restrito</a></li> 1071<li id="menu-item-1136" class="menu-item menu-item-type-post_type menu-item-object-page menu-item-1136"><a href="https://clubes.obmep.org.br/blog/nossa-biblioteca/">Biblioteca dos Clubes</a></li> 1072<li id="menu-item-3510" class="menu-item menu-item-type-post_type menu-item-object-page menu-item-3510"><a href="https://clubes.obmep.org.br/blog/nossa-ludoteca/">Ludoteca dos Clubes</a></li> 1073<li id="menu-item-34818" class="menu-item menu-item-type-post_type menu-item-object-page menu-item-34818"><a href="https://clubes.obmep.org.br/blog/mural-de-avisos-oficial/">Mural de Avisos</a></li> 1074<li id="menu-item-6521" class="menu-item menu-item-type-custom menu-item-object-custom menu-item-6521"><a href="http://clubes.obmep.org.br/blog/sala-de-atividades/">Salas de Atividades</a></li> 1075<li id="menu-item-161546" class="menu-item menu-item-type-post_type menu-item-object-page menu-item-161546"><a href="https://clubes.obmep.org.br/blog/salas-de-estudo/">Salas de Estudos</a></li> 1076<li id="menu-item-142432" class="menu-item menu-item-type-post_type menu-item-object-page menu-item-142432"><a href="https://clubes.obmep.org.br/blog/salas-de-problemas/">Salas de Problemas</a></li> 1077<li id="menu-item-85603" class="menu-item menu-item-type-post_type menu-item-object-page menu-item-85603"><a href="https://clubes.obmep.org.br/blog/salas-para-leitura/">Salas para Leitura</a></li> 1078<li id="menu-item-2678" class="menu-item menu-item-type-post_type menu-item-object-page menu-item-2678">
1078<a href="https://clubes.obmep.org.br/blog/nossa-videoteca/">Videoteca dos Clubes</a></li> 1079<li id="menu-item-18676" class="menu-item menu-item-type-post_type menu-item-object-page menu-item-18676"><a href="https://clubes.obmep.org.br/blog/sala-de-duvidas/">Dúvidas ?</a></li> 1080<li id="menu-item-36987" class="menu-item menu-item-type-post_type menu-item-object-page menu-item-36987"><a href="https://clubes.obmep.org.br/blog/equipe-com-obmep/">Equipe</a></li> 1081<li id="menu-item-229576" class="menu-item menu-item-type-custom menu-item-object-custom menu-item-229576"><a href="https://clubes.obmep.org.br/index/inscricao"><p style="background-color: #7f252c;"> <strong>â INSCREVA-SE! </strong></p></a></li> 1082</ul> 1083 1084 </div> 1085 1086 1087 </nav> 1088 1089 1090 <div id="content" class="clearfix hfeed row"> 1091 1092 1093 1094 <div id="content-main" class="clearfix content-main col-md-9"> 1095 <div class="carousel slide carousel-fade style-banner row" data-ride="carousel" id="graphene-slider"> 1096 1097 <div class="carousel-inner" role="listbox"> 1098 1099 <div class="item active" id="slider-post-229310"> 1100 1101 <a href="https://clubes.obmep.org.br/blog/2026/04/sempre-somam-tex11-tex/" class="permalink-overlay" title="Ver publicação"></a> 1102 1103 <div class="carousel-caption"> 1104 <div class="carousel-caption-content"> 1105 <h2 class="slider_post_title"><a href="https://clubes.obmep.org.br/blog/2026/04/sempre-somam-tex11-tex/">Sempre Somam [tex]11[/tex]</a></h2> 1106 <div class="slider_post_excerpt"><p>PROBLEMA Considere o conjunto [tex]\{1, 2, \dots, 10\}[/tex]. Mostre que ao escolhermos quaisquer seis números do conjunto, sempre haverá dois entre eles cuja soma resulte em [tex]11[/tex]. Reúnam seus Clubes e tentem resolver o problema. … </p> 1107</div> 1108 1109 <ul class="post-meta"> 1110 <li class="date"><i class="fa fa-clock-o"></i> 28 de abril de 2026</li> 1111 <li class="categories"><i class="fa fa-tags"></i> <a class="term term-category term-12" href="https://clubes.obmep.org.br/blog/category/combinatoria/">Contagem</a>, <a class="term term-category term-25" href="https://clubes.obmep.org.br/blog/category/problema-olimpico/">Problema OlÃmpico</a></li> 1112 <li class="post-author"><i class="fa fa-user"></i> <span class="author"><a href="https://clubes.obmep.org.br/blog/author/roberio/" rel="author">OBMEP_rb</a></span></li> 1113 </ul> 1114 1115 </div> 1116 </div> 1117 1118 1119 1120 </div> 1121 <div class="item " id="slider-post-229165"> 1122 1123 <a href="https://clubes.obmep.org.br/blog/2026/04/solucoes-inteiras/" class="permalink-overlay" title="Ver publicação"></a> 1124 1125 <div class="carousel-caption"> 1126 <div class="carousel-caption-content"> 1127 <h2 class="slider_post_title"><a href="https://clubes.obmep.org.br/blog/2026/04/solucoes-inteiras/">Soluções inteiras</a></h2> 1128 <div class="slider_post_excerpt"><p>PROBLEMA Quantas soluções inteiras possui a equação [tex]xy+2x-3y=17[/tex]? Reúnam seus Clubes e tentem resolver o problema. Caso não consigam, não se preocupem. A partir do dia 9, próxima quinta-feira, visitem a Sala Problemas da Semana: … </p> 1129</div> 1130 1131 <ul class="post-meta"> 1132 <li class="date"><i class="fa fa-clock-o"></i> 6 de abril de 2026</li> 1133 <li class="categories"><i class="fa fa-tags"></i> <a class="term term-category term-21" href="https://clubes.obmep.org.br/blog/category/problemas-e-desafios/problemao/">*** Problemão</a>, <a class="term term-category term-3" href="https://clubes.obmep.org.br/blog/category/algebra/">Ãlgebra e números reais</a>, <a class="term term-category term-13" href="https://clubes.obmep.org.br/blog/category/aritmetica/">Aritmética</a></li> 1134 <li class="post-author"><i class="fa fa-user"></i> <span class="author"><a href="https://clubes.obmep.org.br/blog/author/willian/" rel="author">OBMEP_wdo</a></span></li> 1135 </ul> 1136 1137 </div> 1138 </div> 1139 1140 1141 1142 </div> 1143 <div style="background-image:url(https://clubes.obmep.org.br/blog/wp-content/uploads/2026/09/Quantos-Triângulos-1.png);" class="item " id="slider-post-230423"> 1144 1145 <a href="https://clubes.obmep.org.br/blog/2026/09/quantos-triangulos/" class="permalink-overlay" title="Ver publicação"></a> 1146 1147 <div class="carousel-caption"> 1148 <div class="carousel-caption-content"> 1149 <h2 class="slider_post_title"><a href="https://clubes.obmep.org.br/blog/2026/09/quantos-triangulos/">Quantos Triângulos?</a></h2> 1150 <div class="slider_post_excerpt"><p>PROBLEMA Qual o número de triângulos na figura abaixo? Reúnam seus Clubes e tentem resolver o problema. Caso não consigam, não se preocupem. A partir do dia 10, próxima quinta-feira, visitem a Sala Problemas da … </p> 1151</div> 1152 1153 <ul class="post-meta"> 1154 <li class="date"><i class="fa fa-clock-o"></i> 6 de setembro de 2026</li> 1155 <li class="categories"><i class="fa fa-tags"></i> <a class="term term-category term-9" href="https://clubes.obmep.org.br/blog/category/problemas-e-desafios/desafio/">**** Desafio</a>, <a class="term term-category term-3" href="https://clubes.obmep.org.br/blog/category/algebra/">Ãlgebra e números reais</a></li> 1156 <li class="post-author"><i class="fa fa-user"></i> <span class="author"><a href="https://clubes.obmep.org.br/blog/author/roberio/" rel="author">OBMEP_rb</a></span></li> 1157 </ul> 1158 1159 </div> 1160 </div> 1161 1162 1163 1164 </div> 1165 <div class="item " id="slider-post-226378"> 1166 1167 <a href="https://clubes.obmep.org.br/blog/2025/08/ali-babao-ataca-novamente-7-segunda-temporada/" class="permalink-overlay" title="Ver publicação"></a> 1168 1169 <div class="carousel-caption"> 1170 <div class="carousel-caption-content"> 1171 <h2 class="slider_post_title"><a href="https://clubes.obmep.org.br/blog/2025/08/ali-babao-ataca-novamente-7-segunda-temporada/">Ali Babão Ataca Novamente 7 – Segunda Temporada</a></h2> 1172 <div class="slider_post_excerpt"><p>PROBLEMA Quantas soluções a equação [tex]\frac{\sqrt{x}}{2} + 1 = \frac{x-1}{2}[/tex] possui? Reúnam seus Clubes e tentem resolver o problema. Caso não consigam, não se preocupem. A partir do dia 28, próxima quinta-feira, visitem a Sala … </p> 1173</div> 1174 1175 <ul class="post-meta"> 1176 <li class="date"><i class="fa fa-clock-o"></i> 25 de agosto de 2025</li> 1177 <li class="categories"><i class="fa fa-tags"></i> <a class="term term-category term-8" href="https://clubes.obmep.org.br/blog/category/problemas-e-desafios/problema/">** Problema</a>, <a class="term term-category term-3" href="https://clubes.obmep.org.br/blog/category/algebra/">Ãlgebra e números reais</a>, <a class="term term-category term-1" href="https://clubes.obmep.org.br/blog/category/outros/">Outros</a></li> 1178 <li class="post-author"><i class="fa fa-user"></i> <span class="author"><a href="https://clubes.obmep.org.br/blog/author/pedro19math/" rel="author">OBMEP_pp</a></span></li> 1179 </ul> 1180 1181 </div> 1182 </div> 1183 1184 1185 1186 </div> 1187 <div class="item " id="slider-post-224199"> 1188 1189 <a href="https://clubes.obmep.org.br/blog/2024/12/mensagem-especial/" class="permalink-overlay" title="Ver publicação"></a> 1190 1191 <div class="carousel-caption"> 1192 <div class="carousel-caption-content"> 1193 <h2 class="slider_post_title"><a href="https://clubes.obmep.org.br/blog/2024/12/mensagem-especial/">Mensagem especial!</a></h2> 1194 <div class="slider_post_excerpt"><p> Olá, pessoal! As postagens de novos conteúdos serão retomadas no dia 3 de fevereiro de 2025. Mas não pensem que nós, da equipe, vamos esquecer de vocês durante todo esse tempo, viu? Estaremos empenhados em … </p> 1195</div> 1196 1197 <ul class="post-meta"> 1198 <li class="date"><i class="fa fa-clock-o"></i> 25 de dezembro de 2024</li> 1199 <li class="categories"><i class="fa fa-tags"></i> <a class="term term-category term-1" href="https://clubes.obmep.org.br/blog/category/outros/">Outros</a></li> 1200 <li class="post-author"><i class="fa fa-user"></i> <span class="author"><a href="https://clubes.obmep.org.br/blog/author/noemi/" rel="author">OBMEP_nzm</a></span></li> 1201 </ul> 1202 1203 </div> 1204 </div> 1205 1206 1207 1208 </div> 1209 </div> 1210 1211 <ol class="carousel-indicators slider_nav"> 1212 <li data-target="#graphene-slider" class="active" data-sli
1212de-to="0"></li> 1213 <li data-target="#graphene-slider" data-slide-to="1"></li> 1214 <li data-target="#graphene-slider" data-slide-to="2"></li> 1215 <li data-target="#graphene-slider" data-slide-to="3"></li> 1216 <li data-target="#graphene-slider" data-slide-to="4"></li> 1217 1218 </ol> 1219 1220 <a class="left carousel-control" href="#graphene-slider" role="button" data-slide="prev"> 1221 <i class="fa fa-long-arrow-left"></i> 1222 <span class="sr-only">Previous</span> 1223 </a> 1224 <a class="right carousel-control" href="#graphene-slider" role="button" data-slide="next"> 1225 <i class="fa fa-long-arrow-right"></i> 1226 <span class="sr-only">Next</span> 1227 </a> 1228 </div> 1229 1230 <div class="entries-wrapper"> 1231 1232 1233 1234<div id="post-230537" class="clearfix post post-230537 type-post status-publish format-standard hentry category-problema category-outros item-wrap"> 1235 1236 <div class="entry clearfix"> 1237 1238 <div class="post-date date alpha "> 1239 <p class="default_date"> 1240 <span class="month">set</span> 1241 <span class="day">27</span> 1242 </p> 1243 </div> 1244 1245 <h2 class="post-title entry-title"> 1246 <a href="https://clubes.obmep.org.br/blog/2026/09/massa-das-embalagens/" rel="bookmark" title="Link permanente para Massa das Embalagens"> 1247 Massa das Embalagens </a> 1248 </h2> 1249 1250 <ul class="post-meta"> 1251 <li class="byline"> 1252 Por <span class="author"><a href="https://clubes.obmep.org.br/blog/author/roberio/" rel="author">OBMEP_rb</a></span> em <span class="terms"><a class="term term-category term-8" href="https://clubes.obmep.org.br/blog/category/problemas-e-desafios/problema/">** Problema</a>, <a class="term term-category term-1" href="https://clubes.obmep.org.br/blog/category/outros/">Outros</a></span> </li> 1253 <li class="print-date"> 1254 <p class="printonly"><em>27 de setembro de 2026</em></p> </li> 1255 </ul> 1256 1257 <div class="entry-content clearfix"> 1258 1259 1260 <div class="excerpt-thumb"><a href="https://clubes.obmep.org.br/blog/2026/09/massa-das-embalagens/"></a></div> 1261 1262 <p>PROBLEMA Uma editora de materiais para vestibular envia seu material para todo Brasil. Sabe-se que [tex]40[/tex] embalagens com apostilas, numeradas de [tex]1[/tex] a [tex]40[/tex], são posicionadas, uma atrás da outra, em uma esteira transportadora direcionada para o caminhão de entrega. A massa total destas [tex]40[/tex] embalagens é de [tex]106[/tex] e a massa de cada embalagem … </p> 1263<p><a class="more-link btn" href="https://clubes.obmep.org.br/blog/2026/09/massa-das-embalagens/">Continue lendo</a></p> 1264 1265 1266 1267 1268 </div> 1269 1270 <ul class="entry-footer"> 1271 <li class="comment-link col-sm-4"><i class="fa fa-comments"></i> <a href="https://clubes.obmep.org.br/blog/2026/09/massa-das-embalagens/#respond">Deixe um comentário</a></li> 1272 </ul> 1273 </div> 1274</div> 1275 1276 <p class="printonly"><span class="printonly url"><strong>Link permanente para este artigo: </strong><span>https://clubes.obmep.org.br/blog/2026/09/massa-das-embalagens/</span></span></p> 1277 1278 1279 1280 1281<div id="post-230535" class="clearfix post post-230535 type-post status-publish format-standard hentry category-probleminha category-outros item-wrap"> 1282 1283 <div class="entry clearfix"> 1284 1285 <div class="post-date date alpha "> 1286 <p class="default_date"> 1287 <span class="month">set</span> 1288 <span class="day">27</span> 1289 </p> 1290 </div> 1291 1292 <h2 class="post-title entry-title"> 1293 <a href="https://clubes.obmep.org.br/blog/2026/09/vista-de-dados/" rel="bookmark" title="Link permanente para Vista de Dados"> 1294 Vista de Dados </a> 1295 </h2> 1296 1297 <ul class="post-meta"> 1298 <li class="byline"> 1299 Por <span class="author"><a href="https://clubes.obmep.org.br/blog/author/roberio/" rel="author">OBMEP_rb</a></span> em <span class="terms"><a class="term term-category term-10" href="https://clubes.obmep.org.br/blog/category/problemas-e-desafios/probleminha/">* Probleminha</a>, <a class="term term-category term-1" href="https://clubes.obmep.org.br/blog/category/outros/">Outros</a></span> </li> 1300 <li class="print-date"> 1301 <p class="printonly"><em>27 de setembro de 2026</em></p> </li> 1302 </ul> 1303 1304 <div class="entry-content clearfix"> 1305 1306 1307 <div class="excerpt-thumb">
1307<a href="https://clubes.obmep.org.br/blog/2026/09/vista-de-dados/"></a></div> 1308 1309 <p>PROBLEMA Em um dado comum de seis faces, a soma dos pontos das faces opostas resulta sempre em sete pontos. Na figura dada, considerando apenas essa vista, qual a quantidade total de pontos das faces não visÃveis? Reúnam seus Clubes e tentem resolver o problema. Caso não consigam, não se preocupem. A partir do dia … </p> 1310<p><a class="more-link btn" href="https://clubes.obmep.org.br/blog/2026/09/vista-de-dados/">Continue lendo</a></p> 1311 1312 1313 1314 1315 </div> 1316 1317 <ul class="entry-footer"> 1318 <li class="comment-link col-sm-4"><i class="fa fa-comments"></i> <a href="https://clubes.obmep.org.br/blog/2026/09/vista-de-dados/#respond">Deixe um comentário</a></li> 1319 </ul> 1320 </div> 1321</div> 1322 1323 <p class="printonly"><span class="printonly url"><strong>Link permanente para este artigo: </strong><span>https://clubes.obmep.org.br/blog/2026/09/vista-de-dados/</span></span></p> 1324 1325 1326 1327 1328<div id="post-230529" class="clearfix post post-230529 type-post status-publish format-standard hentry category-problema category-geometria item-wrap"> 1329 1330 <div class="entry clearfix"> 1331 1332 <div class="post-date date alpha "> 1333 <p class="default_date"> 1334 <span class="month">set</span> 1335 <span class="day">27</span> 1336 </p> 1337 </div> 1338 1339 <h2 class="post-title entry-title"> 1340 <a href="https://clubes.obmep.org.br/blog/2026/09/reducoes-na-area/" rel="bookmark" title="Link permanente para Reduções na Ãrea"> 1341 Reduções na Ãrea </a> 1342 </h2> 1343 1344 <ul class="post-meta"> 1345 <li class="byline"> 1346 Por <span class="author"><a href="https://clubes.obmep.org.br/blog/author/roberio/" rel="author">OBMEP_rb</a></span> em <span class="terms"><a class="term term-category term-8" href="https://clubes.obmep.org.br/blog/category/problemas-e-desafios/problema/">** Problema</a>, <a class="term term-category term-2" href="https://clubes.obmep.org.br/blog/category/geometria/">Geometria</a></span> </li> 1347 <li class="print-date"> 1348 <p class="printonly"><em>27 de setembro de 2026</em></p> </li> 1349 </ul> 1350 1351 <div class="entry-content clearfix"> 1352 1353 1354 <div class="excerpt-thumb"><a href="https://clubes.obmep.org.br/blog/2026/09/reducoes-na-area/"><img width="256" height="264" src="https://clubes.obmep.org.br/blog/wp-content/uploads/2026/09/Vista-de-Dados-1.png" class="attachment-medium size-medium" alt="" /></a></div> 1355 1356 <p>PROBLEMA Doze palitos de fósforo com tamanhos iguais a [tex]1\ u[/tex] foram dispostos na forma de um triângulo com lados medindo [tex]3\ u, 4\ u, 5\ u[/tex] conforme figura a seguir. Seja [tex]x[/tex] a quantidade de palitos que se deve movimentar para reduzir a área da região delimitada em [tex]1\ u^2[/tex] e [tex]y[/tex] a quantidade … </p> 1357<p><a class="more-link btn" href="https://clubes.obmep.org.br/blog/2026/09/reducoes-na-area/">Continue lendo</a></p> 1358 1359 1360 1361 1362 </div> 1363 1364 <ul class="entry-footer"> 1365 <li class="comment-link col-sm-4"><i class="fa fa-comments"></i> <a href="https://clubes.obmep.org.br/blog/2026/09/reducoes-na-area/#respond">Deixe um comentário</a></li> 1366 </ul> 1367 </div> 1368</div> 1369 1370 <p class="printonly"><span class="printonly url"><strong>Link permanente para este artigo: </strong><span>https://clubes.obmep.org.br/blog/2026/09/reducoes-na-area/</span></span></p> 1371 1372 1373 1374 1375<div id="post-230510" class="clearfix post post-230510 type-post status-publish format-standard hentry category-problema category-combinatoria item-wrap"> 1376 1377 <div class="entry clearfix"> 1378 1379 <div class="post-date date alpha "> 1380 <p class="default_date"> 1381 <span class="month">set</span>
1382 <span class="day">21</span> 1383 </p> 1384 </div> 1385 1386 <h2 class="post-title entry-title"> 1387 <a href="https://clubes.obmep.org.br/blog/2026/09/torneio-de-xadrez/" rel="bookmark" title="Link permanente para Torneio de Xadrez"> 1388 Torneio de Xadrez </a> 1389 </h2> 1390 1391 <ul class="post-meta"> 1392 <li class="byline"> 1393 Por <span class="author"><a href="https://clubes.obmep.org.br/blog/author/pedro19math/" rel="author">OBMEP_pp</a></span> em <span class="terms"><a class="term term-category term-8" href="https://clubes.obmep.org.br/blog/category/problemas-e-desafios/problema/">** Problema</a>, <a class="term term-category term-12" href="https://clubes.obmep.org.br/blog/category/combinatoria/">Contagem</a></span> </li> 1394 <li class="print-date"> 1395 <p class="printonly"><em>21 de setembro de 2026</em></p> </li> 1396 </ul> 1397 1398 <div class="entry-content clearfix"> 1399 1400 1401 <div class="excerpt-thumb"><a href="https://clubes.obmep.org.br/blog/2026/09/torneio-de-xadrez/"></a></div> 1402 1403 <p>PROBLEMA Considere um torneio de xadrez com [tex]10[/tex] participantes. Na primeira rodada, cada participante joga somente uma vez. Assim, ocorrerão [tex]5[/tex] jogos simultâneos. Determine o número de modos que esta primeira rodada pode ser realizada, levando em consideração que jogar de brancas ou de pretas, muda a configuração de uma partida. Reúnam seus Clubes e … </p> 1404<p><a class="more-link btn" href="https://clubes.obmep.org.br/blog/2026/09/torneio-de-xadrez/">Continue lendo</a></p> 1405 1406 1407 1408 1409 </div> 1410 1411 <ul class="entry-footer"> 1412 <li class="comment-link col-sm-4"><i class="fa fa-comments"></i> <a href="https://clubes.obmep.org.br/blog/2026/09/torneio-de-xadrez/#respond">Deixe um comentário</a></li> 1413 </ul> 1414 </div> 1415</div> 1416 1417 <p class="printonly"><span class="printonly url"><strong>Link permanente para este artigo: </strong><span>https://clubes.obmep.org.br/blog/2026/09/torneio-de-xadrez/</span></span></p> 1418 1419 1420 1421 1422<div id="post-230506" class="clearfix post post-230506 type-post status-publish format-standard hentry category-probleminha category-algebra item-wrap"> 1423 1424 <div class="entry clearfix"> 1425 1426 <div class="post-date date alpha "> 1427 <p class="default_date"> 1428 <span class="month">set</span> 1429 <span class="day">21</span> 1430 </p> 1431 </div> 1432 1433 <h2 class="post-title entry-title"> 1434 <a href="https://clubes.obmep.org.br/blog/2026/09/230506/" rel="bookmark" title="Link permanente para Maximizando um Envelope"> 1435 Maximizando um Envelope </a> 1436 </h2> 1437 1438 <ul class="post-meta"> 1439 <li class="byline"> 1440 Por <span class="author"><a href="https://clubes.obmep.org.br/blog/author/pedro19math/" rel="author">OBMEP_pp</a></span> em <span class="terms"><a class="term term-category term-10" href="https://clubes.obmep.org.br/blog/category/problemas-e-desafios/probleminha/">* Probleminha</a>, <a class="term term-category term-3" href="https://clubes.obmep.org.br/blog/category/algebra/">Ãlgebra e números reais</a></span> </li> 1441 <li class="print-date"> 1442 <p class="printonly"><em>21 de setembro de 2026</em></p> </li> 1443 </ul> 1444 1445 <div class="entry-content clearfix"> 1446 1447 1448 <div class="excerpt-thumb"><a href="https://clubes.obmep.org.br/blog/2026/09/230506/"></a></div> 1449 1450 <p>PROBLEMA Em um envelope há [tex]5[/tex] cartões, cada um com um número inteiro positivo escrito. Sabe-se que: A soma de todos os [tex]5[/tex] números é [tex]20[/tex]; Existem mais números pares do que números Ãmpares entre os cartões; Todos os números são menores que [tex]10[/tex]. Qual é o maior valor que pode estar escrito em um … </p> 1451<p><a class="more-link btn" href="https://clubes.obmep.org.br/blog/2026/09/230506/">Continue lendo</a></p> 1452 1453 1454 1455 1456 </div> 1457 1458 <ul class="entry-footer"> 1459 <li class="comment-link col-sm-4"><i class="fa fa-comments"></i> <a href="https://clubes.obmep.org.br/blog/2026/09/230506/#respond">Deixe um comentário</a></li> 1460 </ul> 1461 </div> 1462</div> 1463 1464 <p class="printonly"><span class="printonly url"><strong>Link permanente para este artigo: </strong><span>https://clubes.obmep.org.br/blog/2026/09/230506/</span></span></p> 1465 1466 </div> 1467 1468 <div class="pagination-wrapper"> 1469 <ul class="pagination"> 1470 <li class="disabled"><span class="page-numbers"><i class="fa fa-angle-left"></i></span></li> <li class="active"><span aria-current='page' class='page-numbers current'>1</span></li><li><a class='page-numbers' href='https://clubes.obmep.org.br/blog/page/2/'>2</a></li><li><a class='page-numbers' href='https://clubes.obmep.org.br/blog/page/3/'>3</a></li><li><span class="page-numbers dots">…</span></li><li><a class='page-numbers' href='https://clubes.obmep.org.br/blog/page/50/'>50</a></li><li><a class="next page-numbers" href="https://clubes.obmep.org.br/blog/page/2/"><i class="fa fa-angle-right"></i></a></li>
1470 </ul> 1471 </div> 1472 1473 1474 1475 </div><!-- #content-main --> 1476 1477 1478<div id="sidebar1" class="sidebar sidebar-right widget-area col-md-3"> 1479 1480 1481 <div id="nav_menu-2" class="sidebar-wrap clearfix widget_nav_menu"><h3>Informações Gerais</h3><div class="menu-sem-nome-container"><ul id="menu-sem-nome" class="menu"><li id="menu-item-36864" class="menu-item menu-item-type-custom menu-item-object-custom menu-item-36864"><a href="/site/confirmacao">👉 CONFIRMAÃÃO DE INSCRIÃÃO</a></li> 1482<li id="menu-item-36991" class="menu-item menu-item-type-custom menu-item-object-custom menu-item-36991"><a href="/site/index/tutorial-email-outlook">👉 AVISO AOS USUÃRIOS DO HOTMAIL</a></li> 1483</ul></div></div><div id="text-3" class="sidebar-wrap clearfix widget_text"><h3>VÃdeo do Momento</h3> <div class="textwidget"><p style="text-align:center; color: #B22222;font-size:16px"><strong>Bernhard Riemann</strong></p> 1484<p style="text-align: center;"> O Gênio que Antecipou Einstein e Desafiou os Limites da Matemática!</p> 1485<p style="text-align: center;"><strong>Clique na telinha!</strong></p> 1486<p style="text-align: center;"><iframe src="https://www.youtube.com/embed/bh-iTN05HA4?si=uUgGoGkA3VDaSxe0" frameborder="0" allowfullscreen></iframe></p> 1487</div> 1488 </div><div id="categories-3" class="sidebar-wrap clearfix widget_categories"><h3>Categorias</h3> <ul> 1489 <li class="cat-item cat-item-10"><a href="https://clubes.obmep.org.br/blog/category/problemas-e-desafios/probleminha/" >* Probleminha</a> 1490</li> 1491 <li class="cat-item cat-item-8"><a href="https://clubes.obmep.org.br/blog/category/problemas-e-desafios/problema/" title="Problemas Gerais">** Problema</a> 1492</li> 1493 <li class="cat-item cat-item-21"><a href="https://clubes.obmep.org.br/blog/category/problemas-e-desafios/problemao/" >*** Problemão</a> 1494</li> 1495 <li class="cat-item cat-item-9"><a href="https://clubes.obmep.org.br/blog/category/problemas-e-desafios/desafio/" >**** Desafio</a> 1496</li> 1497 <li class="cat-item cat-item-3"><a href="https://clubes.obmep.org.br/blog/category/algebra/" >Ãlgebra e números reais</a> 1498</li> 1499 <li class="cat-item cat-item-48"><a href="https://clubes.obmep.org.br/blog/category/aplicando-a-matematica/" >Aplicando a Matemática</a> 1500</li> 1501 <li class="cat-item cat-item-13"><a href="https://clubes.obmep.org.br/blog/category/aritmetica/" >Aritmética</a> 1502</li> 1503 <li class="cat-item cat-item-22"><a href="https://clubes.obmep.org.br/blog/category/aviso/" >Aviso</a> 1504</li> 1505 <li class="cat-item cat-item-12"><a href="https://clubes.obmep.org.br/blog/category/combinatoria/" >Contagem</a> 1506</li> 1507 <li class="cat-item cat-item-26"><a href="https://clubes.obmep.org.br/blog/category/desafio-olimpico/" >Desafio OlÃmpico</a> 1508</li> 1509 <li class="cat-item cat-item-34"><a href="https://clubes.obmep.org.br/blog/category/funcoes/" >Funções</a> 1510</li> 1511 <li class="cat-item cat-item-2"><a href="https://clubes.obmep.org.br/blog/category/geometria/" >Geometria</a> 1512</li> 1513 <li class="cat-item cat-item-19"><a href="https://clubes.obmep.org.br/blog/category/latex/" >Latex</a> 1514</li> 1515 <li class="cat-item cat-item-49"><a href="https://clubes.obmep.org.br/blog/category/matematica-financeira/" >Matemática financeira</a> 1516</li> 1517 <li class="cat-item cat-item-1"><a href="https://clubes.obmep.org.br/blog/category/outros/" >Outros</a> 1518</li> 1519 <li class="cat-item cat-item-37"><a href="https://clubes.obmep.org.br/blog/category/probabilidade/" >Probabilidade e EstatÃstica</a> 1520</li> 1521 <li class="cat-item cat-item-25"><a href="https://clubes.obmep.org.br/blog/category/problema-olimpico/" >Problema OlÃmpico</a> 1522</li> 1523 <li class="cat-item cat-item-18"><a href="https://clubes.obmep.org.br/blog/category/problemas-e-desafios/" >Problemas e Desafios</a> 1524</li> 1525 <li class="cat-item cat-item-17"><a href="https://clubes.obmep.org.br/blog/category/desafioraciocinio-logico/" >RaciocÃnio Lógico</a> 1526</li> 1527 <li class="cat-item cat-item-4"><a href="https://clubes.obmep.org.br/blog/category/trigonometria/" >Trigonometria</a> 1528</li> 1529 </ul> 1530</div><div id="text-4" class="sidebar-wrap clearfix widget_text"><h3>AVISO</h3> <div class="textwidget"><p><img src="http://clubes.obmep.org.br/blog/wp-content/uploads/2013/01/menino.jpg" alt="" width="50" height="60" class="aligncenter size-full wp-image-1001" /></p> 1531<p style="font-size: 14px; 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