http://www.xeix.org/ ca SPIP - www.spip.net https://www.xeix.org/local/cache-vignettes/L144xH108/siteon0-b283d.png?1787761806 http://www.xeix.org/ 108 144 https://www.xeix.org/forums/Enquesta-XEIX-Branca-de-la https://www.xeix.org/forums/Enquesta-XEIX-Branca-de-la 2006-10-15T08:00:00Z text/html ca SBM-XEIX Corregit <p>Us proposem aquesta enquesta, que pretén ser un ranking de la branca matemàtica preferida pels que visitin <a href="http://www.xeix.org" class='spip_url spip_out' rel='external'>www.xeix.org</a></p> - <a href="https://www.xeix.org/forums/" rel="directory">Fòrums</a> / <a href="https://www.xeix.org/Corregit" rel="tag">Corregit</a> <div class='rss_texte'><p><tt><form1></tt></p> <p>Si trobau a faltar qualque opció, o voleu fer alguna aclaració sobre el vostre vot, podeu utilitzar els comentaris.</p></div> https://www.xeix.org/forums/Emprant-una-sola-vegada-tots-els https://www.xeix.org/forums/Emprant-una-sola-vegada-tots-els 2006-01-08T23:46:59Z text/html ca Pilar Oliva <p>Emprant una sola vegada cada un dels dígits de l'any 2006 i amb l'ajuda de qualsevol operació matemàtica escriure tots els nombres naturals del zero al 20.</p> - <a href="https://www.xeix.org/forums/" rel="directory">Fòrums</a> <img class='spip_logo spip_logo_right spip_logos' alt="" style='float:right' src='https://www.xeix.org/local/cache-vignettes/L150xH67/arton61-15beb.jpg?1787760581' width='150' height='67' /> <div class='rss_chapo'><p>En aquest dia víspera de reprendre el curs i pensant sobre alguna activitat que m'ajudas a atreure l'atenció de l'alumnat, he pensat fer alguna cosa amb el nombre 2006. Amb els divisors no hi ha molt que fer, així que m'he posat a cercar nombres naturals amb els seus dígits, i he vist que emprant 0!=1 anaven sortint. Alguns tenen vàries solucions, les que més m'agraden són aquelles que els dígits van ordenats. Algun m'ha costat un poc de feina, com el 19, i algun se m'ha resistit.</p></div> <div class='rss_texte'><ul class="spip"><li> <img src='https://www.xeix.org/local/cache-vignettes/L500xH42/a6440d4ab9d08cab303e295f034c3b0a-b0d76.png?1787760996' style='vertical-align:middle;' width='500' height='42' alt=" 2 \times 0 + 0 \times 6 = 0 " title=" 2 \times 0 + 0 \times 6 = 0 " /></li></ul><ul class="spip"><li> <img src='https://www.xeix.org/local/cache-vignettes/L500xH42/b34e1aafc07225231d4e487c93bffc40-5afc6.png?1787760996' style='vertical-align:middle;' width='500' height='42' alt="0! + 0 \times 2 \times 6 = 1" title="0! + 0 \times 2 \times 6 = 1" /> <br/>ò bé <br/> <img src='https://www.xeix.org/local/cache-vignettes/L500xH42/db902f8934371215a1dc034fcdfbbe92-91c10.png?1787760996' style='vertical-align:middle;' width='500' height='42' alt="206^0 = 1" title="206^0 = 1" /></li></ul><ul class="spip"><li> <img src='https://www.xeix.org/local/cache-vignettes/L500xH42/039a92284469454cf35afd432e66b754-60a9b.png?1787760996' style='vertical-align:middle;' width='500' height='42' alt=" 2 + 0 \times 0 \times 6 = 2" title=" 2 + 0 \times 0 \times 6 = 2" /> <br/>ò bé <br/> <img src='https://www.xeix.org/local/cache-vignettes/L500xH42/f51782a101b4c7d89c4d7e0d4ed1a303-01afc.png?1787760996' style='vertical-align:middle;' width='500' height='42' alt="\sqrt{6-2} + 0 + 0 = 2" title="\sqrt{6-2} + 0 + 0 = 2" /></li></ul><ul class="spip"><li> <img src='https://www.xeix.org/local/cache-vignettes/L500xH42/c04b8971bba54cc9250278ae99f86111-e8cf9.png?1787760996' style='vertical-align:middle;' width='500' height='42' alt="2 + 0! + 0 \times 6 = 3" title="2 + 0! + 0 \times 6 = 3" /> <br/>ò bé <br/> <img src='https://www.xeix.org/local/cache-vignettes/L500xH42/e55f8a5baa6c2e20809e4ba78f8be73f-68872.png?1787760996' style='vertical-align:middle;' width='500' height='42' alt="6:2 +0 + 0 = 3" title="6:2 +0 + 0 = 3" /> <br/>ò bé <br/> <img src='https://www.xeix.org/local/cache-vignettes/L500xH42/48ba5e57ba9b01d44b45ce2c8ae08b75-315bb.png?1787760996' style='vertical-align:middle;' width='500' height='42' alt="6: (2+0!) +0! = 3" title="6: (2+0!) +0! = 3" /> <br/>ò bé <br/> <img src='https://www.xeix.org/local/cache-vignettes/L500xH42/8bd3f89c97589c464984cf86eb29261d-6a360.png?1787760996' style='vertical-align:middle;' width='500' height='42' alt="\sqrt{6+2+0!} + 0 =3" title="\sqrt{6+2+0!} + 0 =3" /></li></ul><ul class="spip"><li> <img src='https://www.xeix.org/local/cache-vignettes/L500xH42/c64796c1cca5c08a0eba3d8d6819f1b8-840fe.png?1787760996' style='vertical-align:middle;' width='500' height='42' alt="6 -2 + 0 + 0 = 4" title="6 -2 + 0 + 0 = 4" /> <br/>ò bé <br/> <img src='https://www.xeix.org/local/cache-vignettes/L500xH42/f4fb8cf243303078da1880dff0b0d58a-e64b6.png?1787760996' style='vertical-align:middle;' width='500' height='42' alt="\sqrt{6-2} + 0! + 0! = 4" title="\sqrt{6-2} + 0! + 0! = 4" /> <br/>ò bé <br/> <img src='https://www.xeix.org/local/cache-vignettes/L500xH42/3c49308026441c31b178856053f79d5f-8da59.png?1787760996' style='vertical-align:middle;' width='500' height='42' alt=" (\sqrt{6-2})^{(0!+0!)} = 4" title=" (\sqrt{6-2})^{(0!+0!)} = 4" /></li></ul><ul class="spip"><li><img src='https://www.xeix.org/local/cache-vignettes/L500xH42/a8e076102dd65c0526189194b4894f49-c6d29.png?1787760996' style='vertical-align:middle;' width='500' height='42' alt=" 6-2 + 0! + 0 = 5 " title=" 6-2 + 0! + 0 = 5 " /> <br/>ò bé <br/> <img src='https://www.xeix.org/local/cache-vignettes/L500xH42/52c6ece7759efab16dae448c00dc3932-43101.png?1787760996' style='vertical-align:middle;' width='500' height='42' alt=" 6- 0! + 0 \times 2 = 5 " title=" 6- 0! + 0 \times 2 = 5 " /></li></ul><ul class="spip"><li> <img src='https://www.xeix.org/local/cache-vignettes/L500xH42/b994738dd91e3c00f9e0d60d510fc5b2-6dba6.png?1787760996' style='vertical-align:middle;' width='500' height='42' alt="6-2 + 0! + 0!= 6" title="6-2 + 0! + 0!= 6" /> <br/>ò bé <br/> <img src='https://www.xeix.org/local/cache-vignettes/L500xH42/09d46ab96804dbcdc2f376b9a8bdd601-ea258.png?1787760996' style='vertical-align:middle;' width='500' height='42' alt="6 - 0 \times 0 \times 2 = 6" title="6 - 0 \times 0 \times 2 = 6" /></li></ul><ul class="spip"><li><img src='https://www.xeix.org/local/cache-vignettes/L500xH42/3bcad6cff8f4b79a2fc2af93f99c6411-4b725.png?1787760996' style='vertical-align:middle;' width='500' height='42' alt="6 - 0! + 0 + 2 = 7 " title="6 - 0! + 0 + 2 = 7 " /> <br/>ò bé <br/> <img src='https://www.xeix.org/local/cache-vignettes/L500xH42/1a5010ff4a545faa86a5fc56b913e5b7-ab05e.png?1787760996' style='vertical-align:middle;' width='500' height='42' alt="6 + 0! + 0 \times 2 = 7" title="6 + 0! + 0 \times 2 = 7" /></li></ul><ul class="spip"><li><img src='https://www.xeix.org/local/cache-vignettes/L500xH42/4c0adcb37b211463cd72a516ff4bee9e-d8245.png?1787760996' style='vertical-align:middle;' width='500' height='42' alt=" 2 + 0 + 0 + 6 = 8" title=" 2 + 0 + 0 + 6 = 8" /> <br/>ò bé <br/> <img src='https://www.xeix.org/local/cache-vignettes/L500xH42/679d13809b2d400ad7d5bc6da34b6bdb-b3cd6.png?1787760996' style='vertical-align:middle;' width='500' height='42' alt=" ( 0! + 0! )^{6:2} = 8" title=" ( 0! + 0! )^{6:2} = 8" /></li></ul><ul class="spip"><li><img src='https://www.xeix.org/local/cache-vignettes/L500xH42/3261a76059564ed150307df634a1dad9-23552.png?1787760996' style='vertical-align:middle;' width='500' height='42' alt=" 2 + 0! + 0 + 6 = 9" title=" 2 + 0! + 0 + 6 = 9" /> <br/>ò bé <br/> <img src='https://www.xeix.org/local/cache-vignettes/L500xH42/f7747802ef6ce5ba123c5023e129b743-71e1d.png?1787760996' style='vertical-align:middle;' width='500' height='42' alt="( 6: 2 )^{(0!+0!)} = 9" title="( 6: 2 )^{(0!+0!)} = 9" /></li></ul><ul class="spip"><li><img src='https://www.xeix.org/local/cache-vignettes/L500xH42/099ee6c69b7ec30758e987f2e8767222-4cf16.png?1787760996' style='vertical-align:middle;' width='500' height='42' alt=" 2 \times ( 6- 0!) +0 = 10" title=" 2 \times ( 6- 0!) +0 = 10" /> <br/>ò bé <br/> <img src='https://www.xeix.org/local/cache-vignettes/L500xH42/ecadf1afc9bf735f3060e3bf89f2520a-f24ce.png?1787760996' style='vertical-align:middle;' width='500' height='42' alt="2 + 0! + 0! + 6 = 10" title="2 + 0! + 0! + 6 = 10" /></li></ul><ul class="spip"><li><img src='https://www.xeix.org/local/cache-vignettes/L500xH42/5c9a14ec6ac4c59e15f9a7663e37c4aa-b1d9f.png?1787760996' style='vertical-align:middle;' width='500' height='42' alt=" 2 \times 6 - 0! + 0 = 11" title=" 2 \times 6 - 0! + 0 = 11" /> <br/>ò bé <br/> <img src='https://www.xeix.org/local/cache-vignettes/L500xH42/39424083282b2af98a4a1b5c0979233a-eea13.png?1787760996' style='vertical-align:middle;' width='500' height='42' alt="\sqrt{(6-0!)!-0!+2!}=11" title="\sqrt{(6-0!)!-0!+2!}=11" /></li></ul><ul class="spip"><li><img src='https://www.xeix.org/local/cache-vignettes/L500xH42/a61efa3ea9c16949bd859d4bcdebf3cb-8b615.png?1787760996' style='vertical-align:middle;' width='500' height='42' alt=" 2 \times 6 + 0 + 0 = 12" title=" 2 \times 6 + 0 + 0 = 12" /> <br/>ò bé <br/> <img src='https://www.xeix.org/local/cache-vignettes/L500xH42/f4e7e58304e0de3e78f0098b6fa08dc1-82d3c.png?1787760996' style='vertical-align:middle;' width='500' height='42' alt="( 6 + 0 ) \times ( 2 +0 ) =12" title="( 6 + 0 ) \times ( 2 +0 ) =12" /></li></ul><ul class="spip"><li> <img src='https://www.xeix.org/local/cache-vignettes/L500xH42/8ddc8c253723039ad187169ccbd142df-bb2d1.png?1787760996' style='vertical-align:middle;' width='500' height='42' alt="2 \times 6 + 0! + 0 = 13" title="2 \times 6 + 0! + 0 = 13" /></li></ul><ul class="spip"><li> <img src='https://www.xeix.org/local/cache-vignettes/L500xH42/1043c9af7a1fc03d530551c6afea0e35-c8bbc.png?1787760996' style='vertical-align:middle;' width='500' height='42' alt="2 \times 6 + 0! + 0! = 14" title="2 \times 6 + 0! + 0! = 14" /></li></ul><ul class="spip"><li><img src='https://www.xeix.org/local/cache-vignettes/L500xH42/8f56a442fdcefd9cf6391bc9d887778a-962b0.png?1787760996' style='vertical-align:middle;' width='500' height='42' alt=" ( 6 - 0! ) \times ( 2 + 0! ) = 15 " title=" ( 6 - 0! ) \times ( 2 + 0! ) = 15 " /></li><li> <img src='https://www.xeix.org/local/cache-vignettes/L500xH42/afb945830a69798e0f5abec51fb729b8-65b8a.png?1787760996' style='vertical-align:middle;' width='500' height='42' alt="( 6 + 2 ) \times ( 0! + 0!) = 16" title="( 6 + 2 ) \times ( 0! + 0!) = 16" /> <br/>ò bé <br/> <img src='https://www.xeix.org/local/cache-vignettes/L500xH42/8bcf0027eecae908570997760a3b1d01-3a417.png?1787760996' style='vertical-align:middle;' width='500' height='42' alt=" ( 6 -2 )^{(0!+0!)} = 16" title=" ( 6 -2 )^{(0!+0!)} = 16" /></li></ul><ul class="spip"><li><img src='https://www.xeix.org/local/cache-vignettes/L500xH42/5fb67f08e24ca10be196ffa1d5e0afa2-b586e.png?1787760996' style='vertical-align:middle;' width='500' height='42' alt="\sqrt{6!:2+0!} -0! =18 " title="\sqrt{6!:2+0!} -0! =18 " /></li></ul><ul class="spip"><li><img src='https://www.xeix.org/local/cache-vignettes/L500xH42/eb28d9e2da56c7ea1f164c4911d950a9-506eb.png?1787760996' style='vertical-align:middle;' width='500' height='42' alt="\sqrt{6!:2+0!} -0 =19" title="\sqrt{6!:2+0!} -0 =19" /></li></ul><ul class="spip"><li><img src='https://www.xeix.org/local/cache-vignettes/L500xH42/15a824bd1a2455259a3c4b2790edaf17-62516.png?1787760996' style='vertical-align:middle;' width='500' height='42' alt="\sqrt{6!:2+0!} +0! =20" title="\sqrt{6!:2+0!} +0! =20" /></li></ul> <p>Podeu completar la llista (com veis falta el 17), i si voleu, continuar-la, responent al missatge abaix!</p> <p>Un <a href="http://usuarios.lycos.es/matemagnum/problemes/2002_2.htm" class='spip_out' rel='external'>problema similar</a> es va proposar per al 2002, fins a 100.</p></div>