{"id":15934,"date":"2016-04-01T11:41:43","date_gmt":"2016-04-01T08:41:43","guid":{"rendered":"http:\/\/109.232.216.219\/~bilimvegelecek\/?p=15934"},"modified":"2018-01-05T11:50:03","modified_gmt":"2018-01-05T08:50:03","slug":"eglencelik-sorular","status":"publish","type":"post","link":"https:\/\/bilimvegelecek.com.tr\/index.php\/2016\/04\/01\/eglencelik-sorular","title":{"rendered":"E\u011flencelik sorular"},"content":{"rendered":"<p>Bilmecelerle u\u011fra\u015fmak matematik yapmaya benzer. Her iki etkinlikte de d\u00fc\u015f\u00fcnmeyi, anlamaya \u00e7al\u0131\u015fmay\u0131, ke\u015ffetmeyi, \u00e7\u00f6zmeyi veya \u00e7\u00f6zememeyi, sevinci veya s\u0131k\u0131nt\u0131y\u0131 ya\u015far\u0131z. B\u00f6ylesi bir yolculu\u011fa \u00e7\u0131kmak isteyen okurlar\u0131, s\u0131k\u0131nt\u0131s\u0131z olmas\u0131 dile\u011fimle a\u015fa\u011f\u0131daki sorularla ba\u015f ba\u015fa b\u0131rak\u0131yorum.<\/p>\n<figure id=\"attachment_15936\" aria-describedby=\"caption-attachment-15936\" style=\"width: 300px\" class=\"wp-caption alignright\"><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-15936\" src=\"https:\/\/bilimvegelecek.com.tr\/wp-content\/uploads\/2018\/01\/matematik-s-s-146-300x280.jpg\" alt=\"\" width=\"300\" height=\"280\" \/><figcaption id=\"caption-attachment-15936\" class=\"wp-caption-text\">\u015eekil 1<\/figcaption><\/figure>\n<p><strong>Birinci Soru. <\/strong>A, B, C, D, E, F harfleri 6&#215;6\u2019l\u0131k bir satran\u00e7 tahtas\u0131na \u015eekil 1\u2019deki gibi yerle\u015ftiriliyor. Kalan kareleri de A, B, C, D, E, F harfleriyle dolduraca\u011f\u0131z, ama her s\u00fctun ve her sat\u0131rda bu harflerin t\u00fcm\u00fc bulunmal\u0131. Bu ko\u015fullara g\u00f6re kalan karelere bu harfleri nas\u0131l yerle\u015ftirebilirsiniz?<\/p>\n<p><strong>\u0130kinci Soru.<\/strong> \u015eekil 2\u2019deki 7 kare s\u0131rayla 1\u2019den 7\u2019ye kadar numaraland\u0131r\u0131lm\u0131\u015ft\u0131r. \u015eekildeki gibi 1, 2, 3 numaral\u0131 karelere beyaz, 5, 6 ve 7 numaral\u0131 karelere de siyah pullar koyuyoruz. Ortadaki 4 numaral\u0131 kare ise bo\u015f kal\u0131yor.\u00a0 Amac\u0131m\u0131z, b\u00fct\u00fcn beyaz pullarla siyah pullar\u0131n yerlerini kar\u015f\u0131l\u0131kl\u0131 olarak de\u011fi\u015ftirmek, ama \u015fu ko\u015fullarla: 1) Beyazlar\u0131 soldan sa\u011fa do\u011fru, siyahlar\u0131 ise sa\u011fdan sola do\u011fru hareket ettirebiliriz. 2) Bu hareketleri yaparken bir pulu, bulundu\u011fu karenin biti\u015fi\u011findeki bo\u015f kareye getirebiliriz veya z\u0131t renkli bir pulun \u00fcst\u00fcnden atlat\u0131p bo\u015f bir kareye koyabiliriz.\u00a0 3) Pullar\u0131, renklerine bak\u0131lmaks\u0131z\u0131n, herhangi bir d\u00fczende hareket ettirebiliriz.<\/p>\n<figure id=\"attachment_15749\" aria-describedby=\"caption-attachment-15749\" style=\"width: 300px\" class=\"wp-caption alignleft\"><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-15749\" src=\"https:\/\/bilimvegelecek.com.tr\/wp-content\/uploads\/2018\/01\/matematik-147-s-2-300x73.jpg\" alt=\"\" width=\"300\" height=\"73\" \/><figcaption id=\"caption-attachment-15749\" class=\"wp-caption-text\">\u015eekil 2<\/figcaption><\/figure>\n<p>Bu ko\u015fullara g\u00f6re, <strong>en az say\u0131da hamle ile<\/strong>, beyaz ve siyah pullar\u0131n yerlerini de\u011fi\u015ftirmek (\u015eekil 2\u2019deki beyaz pullar\u0131 siyah pullar\u0131n bulundu\u011fu karelere, siyah pullar\u0131 da beyaz pullar\u0131n bulundu\u011fu karelere ta\u015f\u0131mak) i\u00e7in pullar\u0131n numaralar\u0131na g\u00f6re hangi hareketleri yapmal\u0131y\u0131z?<\/p>\n<p><strong>\u00dc\u00e7\u00fcnc\u00fc Soru. <\/strong>\u00dczerlerine A, B, C, D harfleri yerle\u015ftirilmi\u015f d\u00f6rt pul, \u015eekil 3\u2019teki gibi taral\u0131 karelere koyulmu\u015ftur. Yapaca\u011f\u0131m\u0131z \u015fey, C ile D\u2019nin, A ile de B\u2019nin yerlerini de\u011fi\u015ftirmek, ama \u015fu ko\u015fullarla: 1) Pullar\u0131 her hangi bir y\u00f6nde bir veya birden fazla bo\u015f karenin \u00fczerinden ge\u00e7irebiliriz. \u00d6rne\u011fin B pulunu saat y\u00f6n\u00fcn\u00fcn tersinde hareket ettirerek, bir tur at\u0131p A pulunun yan\u0131na getirebiliriz. 2) Herhangi bir pulu di\u011fer bir pulun \u00fcst\u00fcnden atlatarak hareket ettiremeyiz.<\/p>\n<figure id=\"attachment_15750\" aria-describedby=\"caption-attachment-15750\" style=\"width: 300px\" class=\"wp-caption alignright\"><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-15750\" src=\"https:\/\/bilimvegelecek.com.tr\/wp-content\/uploads\/2018\/01\/matematik-147-s-3-300x155.jpg\" alt=\"\" width=\"300\" height=\"155\" \/><figcaption id=\"caption-attachment-15750\" class=\"wp-caption-text\">\u015eekil 3<\/figcaption><\/figure>\n<p>Bu ko\u015fullara g\u00f6re C ile D\u2019nin, A ile de B\u2019nin yerlerini de\u011fi\u015ftirmek i\u00e7in hangi hareketleri yapmal\u0131y\u0131z (A, B, C ve D pullar\u0131n\u0131n bulundu\u011fu karelere s\u0131ras\u0131yla 1, 2, 3, 4 numaralar\u0131 verelim. \u00c7\u00f6z\u00fcm yollayan okurlar\u0131m\u0131z bu numaralar\u0131 dikkate alarak hareketleri belirtirlerse seviniriz)<\/p>\n<p><strong>D\u00f6rd\u00fcnc\u00fc Soru. <\/strong>Bu problem, \u015eekil 4\u2019te g\u00f6r\u00fcld\u00fc\u011f\u00fc gibi ayn\u0131 hat \u00fczerinde bulunan A ve B trenlerinin yerlerinin de\u011fi\u015ftirilmesini konu etmektedir. Her iki trenin de iki\u015fer vagonu ve birer lokomotifi vard\u0131r. T\u00fcm vagonlar\u0131n uzunluklar\u0131 e\u015fittir. L-K-R ana hat olmak \u00fczere, K kav\u015fa\u011f\u0131ndan bir yan hat ayr\u0131lmaktad\u0131r. Yan hatt\u0131n uzunlu\u011fu sadece bir vagonun uzunlu\u011fu kadard\u0131r. Bu durumda makinistler hangi manevralar\u0131 yaparlarsa A treniyle B treninin yerleri de\u011fi\u015fmi\u015f, yani B, A\u2019nin arkas\u0131na ge\u00e7mi\u015f olur? (\u00c7\u00f6z\u00fcm yollayan okurlar\u0131m\u0131z, makinistlerin manevralar\u0131n\u0131 yazarken L\u2019yi sol y\u00f6ndeki, R\u2019yi sa\u011f y\u00f6ndeki ve K\u2019yi de kav\u015faktaki manevralar\u0131n g\u00f6sterimi i\u00e7in kullanabilirler.)<\/p>\n<figure id=\"attachment_15751\" aria-describedby=\"caption-attachment-15751\" style=\"width: 700px\" class=\"wp-caption alignnone\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-15751 size-full\" src=\"https:\/\/bilimvegelecek.com.tr\/wp-content\/uploads\/2018\/01\/matematik-147-s-4.jpg\" alt=\"\" width=\"700\" height=\"118\" srcset=\"https:\/\/bilimvegelecek.com.tr\/wp-content\/uploads\/2018\/01\/matematik-147-s-4.jpg 700w, https:\/\/bilimvegelecek.com.tr\/wp-content\/uploads\/2018\/01\/matematik-147-s-4-600x101.jpg 600w, https:\/\/bilimvegelecek.com.tr\/wp-content\/uploads\/2018\/01\/matematik-147-s-4-300x51.jpg 300w\" sizes=\"auto, (max-width: 700px) 100vw, 700px\" \/><figcaption id=\"caption-attachment-15751\" class=\"wp-caption-text\">\u015eekil 4<\/figcaption><\/figure>\n<p><strong>Be\u015finci Soru. <\/strong>\u00a0Silindir \u015feklinde camdan yap\u0131lm\u0131\u015f 6 litrelik iki kab\u0131m\u0131z var. Kaplardan ince ve uzun olan\u0131n\u0131n y\u00fcksekli\u011fi 9 birim, k\u0131sa ve geni\u015f olan\u0131n\u0131n y\u00fcksekli\u011fi 4 birim. Ayr\u0131ca, b\u00fcy\u00fck bir \u00fc\u00e7\u00fcnc\u00fc kab\u0131m\u0131z var. Bir musluktan istedi\u011fimiz kadar su alabilece\u011fimize g\u00f6re 6 litre suyu nas\u0131l \u00f6l\u00e7eriz?<\/p>\n<p><strong>Alt\u0131nc\u0131 Soru. <\/strong>\u0130ki arkada\u015f \u0130zmir\u2019den saat 6.00\u2019da hareket ederek 6 saatte Bursa\u2019ya var\u0131yorlar.<\/p>\n<p>Ertesi g\u00fcn yine saat 6.00\u2019da Bursa\u2019dan \u0130zmir\u2019e hareket ederek 4 saat sonra \u0130zmir\u2019de oluyorlar. Arac\u0131n s\u00fcr\u00fcc\u00fcs\u00fc d\u00f6n\u00fc\u015f yolunda arkada\u015f\u0131na \u201cD\u00fcn tam bu saatte buradayd\u0131k.\u201d dedi\u011fi anda saat ka\u00e7t\u0131?<\/p>\n<p><strong>Yedinci Soru. <\/strong>Bir hekim 5 g\u00fcnde bir n\u00f6bet tutmaktad\u0131r. \u0130lk n\u00f6betini sal\u0131 g\u00fcn\u00fc tutuyor, ama n\u00f6bet tutma s\u0131ras\u0131 tekrar sal\u0131ya rastlad\u0131\u011f\u0131nda 4 g\u00fcnde bir n\u00f6bet tutmaya ba\u015fl\u0131yor.\u00a0 Sonraki n\u00f6beti yine sal\u0131ya geldi\u011finde 3 g\u00fcnde bir n\u00f6bet tutuyor. Bu \u015fekilde, n\u00f6bet tutu\u011fu her sal\u0131 iki n\u00f6bet aras\u0131ndaki s\u00fcreyi 1 g\u00fcn azalt\u0131yor. Bu hekim ka\u00e7 n\u00f6bet tutar?<\/p>\n<p><strong>Sekizinci Soru. <\/strong>Bir kuyrukta bulunan <em>A<\/em>,<em> B<\/em> ve <em>C <\/em>gibi \u00fc\u00e7 ki\u015fiden <em>A<\/em>\u2019n\u0131n <em>B<\/em> ile aras\u0131nda 11, <em>C <\/em>ile aras\u0131nda 15 ki\u015fi vard\u0131r. <em>B<\/em> ile <em>C<\/em> aras\u0131ndaki ki\u015fi say\u0131s\u0131 <em>A<\/em>\u2019n\u0131n hem ba\u015ftan hem sondan s\u0131ra say\u0131s\u0131na e\u015fitse <em>C<\/em> ka\u00e7\u0131nc\u0131 s\u0131rada olabilir?<\/p>\n<p><strong>Not:<\/strong> \u0130lk d\u00f6rd\u00fc daha \u00f6nce bu k\u00f6\u015fede yay\u0131mlanm\u0131\u015f olan sekiz sorunun \u00e7\u00f6z\u00fcmlerini a_torun60@hotmail.com adresine 15 Nisan 2016 tarihine kadar g\u00f6nderen ilk iki okura <em>Matemati\u011fin (M)izah\u0131 <\/em>isimli kitab\u0131m hediye edilecektir.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Bilmecelerle u\u011fra\u015fmak matematik yapmaya benzer. Her iki etkinlikte de d\u00fc\u015f\u00fcnmeyi, anlamaya \u00e7al\u0131\u015fmay\u0131, ke\u015ffetmeyi, \u00e7\u00f6zmeyi veya \u00e7\u00f6zememeyi, sevinci veya s\u0131k\u0131nt\u0131y\u0131 ya\u015far\u0131z. B\u00f6ylesi bir yolculu\u011fa \u00e7\u0131kmak isteyen okurlar\u0131, s\u0131k\u0131nt\u0131s\u0131z olmas\u0131 dile\u011fimle a\u015fa\u011f\u0131daki sorularla ba\u015f ba\u015fa b\u0131rak\u0131yorum. Birinci Soru. A, B, C, D, E, F harfleri 6&#215;6\u2019l\u0131k bir satran\u00e7 tahtas\u0131na \u015eekil 1\u2019deki gibi yerle\u015ftiriliyor. Kalan kareleri de A, [&hellip;]<\/p>\n","protected":false},"author":375,"featured_media":15935,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[183,25,514],"tags":[208,1572,1530],"class_list":["post-15934","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-146-sayi","category-matematik","category-matematik-sohbetleri","tag-matematik","tag-problemler","tag-sayilar"],"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/bilimvegelecek.com.tr\/index.php\/wp-json\/wp\/v2\/posts\/15934","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/bilimvegelecek.com.tr\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/bilimvegelecek.com.tr\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/bilimvegelecek.com.tr\/index.php\/wp-json\/wp\/v2\/users\/375"}],"replies":[{"embeddable":true,"href":"https:\/\/bilimvegelecek.com.tr\/index.php\/wp-json\/wp\/v2\/comments?post=15934"}],"version-history":[{"count":0,"href":"https:\/\/bilimvegelecek.com.tr\/index.php\/wp-json\/wp\/v2\/posts\/15934\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/bilimvegelecek.com.tr\/index.php\/wp-json\/wp\/v2\/media\/15935"}],"wp:attachment":[{"href":"https:\/\/bilimvegelecek.com.tr\/index.php\/wp-json\/wp\/v2\/media?parent=15934"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/bilimvegelecek.com.tr\/index.php\/wp-json\/wp\/v2\/categories?post=15934"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/bilimvegelecek.com.tr\/index.php\/wp-json\/wp\/v2\/tags?post=15934"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}