{"id":4300,"date":"2018-03-01T11:52:20","date_gmt":"2018-03-01T10:52:20","guid":{"rendered":"http:\/\/www.tantaki.hu\/blog\/?p=4300"},"modified":"2022-02-15T16:14:31","modified_gmt":"2022-02-15T15:14:31","slug":"erettsegire-fel-logikai-szita","status":"publish","type":"post","link":"https:\/\/www.tantaki.hu\/blog\/erettsegire-fel-logikai-szita\/","title":{"rendered":"\u00c9retts\u00e9gire fel! \u2013 Logikai szita"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"4300\" class=\"elementor elementor-4300\" data-elementor-post-type=\"post\">\n\t\t\t\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-b3868d6 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"b3868d6\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-e76c83d\" data-id=\"e76c83d\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-42420ff elementor-widget elementor-widget-text-editor\" data-id=\"42420ff\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p><span style=\"font-weight: bold;\">\u00c9retts\u00e9gi<\/span>\u00a0felk\u00e9sz\u00edt\u0151 sorozatunk 5. r\u00e9sze a logikai szit\u00e1val foglalkozik. A\u00a0<span style=\"font-weight: bold;\"><a href=\"https:\/\/www.tantaki.hu\/blog\/erettsegire-fel-kamatos-kamat-kiszamitasa\/\" target=\"_blank\" rel=\"noopener\">kamatsz\u00e1m\u00edt\u00e1s<\/a>,<\/span>\u00a0az\u00a0<span style=\"font-weight: bold;\"><a href=\"https:\/\/www.tantaki.hu\/blog\/erettsegire-fel-kozepertek-szamitas\/\" target=\"_blank\" rel=\"noopener\">\u00e1tlagok<\/a><\/span>\u00a0\u00e9s a\u00a0<span style=\"font-weight: bold;\"><a href=\"https:\/\/www.tantaki.hu\/blog\/erettsegire-fel-szinusztetel\/\" target=\"_blank\" rel=\"noopener\">geometria<\/a><\/span>\u00a0ut\u00e1n a halmazok t\u00e9mak\u00f6re sem maradhat ki!<\/p><p>A matematika \u00e9retts\u00e9gi els\u0151 fel\u00e9ben tal\u00e1lhat\u00f3ak a\u00a0<span style=\"font-weight: bold;\">logikai feladatok.<\/span>\u00a0Gyakran el\u0151fordulnak halmazokkal kapcsolatos p\u00e9ld\u00e1k, amikhez megfelel\u0151 ismeretekre van sz\u00fcks\u00e9g. Tudnunk kell, hogy mit jelentenek az egyes szimb\u00f3lumok\u00a0<span style=\"font-weight: bold;\">(uni\u00f3, kiv\u00e9ve)<\/span>\u00a0\u00e9s megfelel\u0151en kell \u0151ket alkalmazni! Gyermeked halmazba tudja rendezni az adatokat? Amennyiben nem tudja mit jelent az\u00a0<span style=\"font-weight: bold;\">uni\u00f3<\/span>\u00a0kifejez\u00e9s, a Tantaki seg\u00edts\u00e9g\u00e9vel<span style=\"font-weight: bold;\">\u00a0gyorsan \u00e9s k\u00f6nnyen megtanulhatja!<\/span><\/p><p>K\u00f6zeleg a m\u00e1jusi megm\u00e9rettet\u00e9s, t\u00f6bb ezer di\u00e1k kezdi el az \u00e9retts\u00e9gi id\u0151szakot. Gyermeked megfelel\u0151en felk\u00e9sz\u00fclt r\u00e1? Matematika \u00e9retts\u00e9gi felk\u00e9sz\u00edt\u0151 tananyagunk minden t\u00e9mak\u00f6rt alaposan elsaj\u00e1t\u00edthat!\u00a0<\/p><p><b>Pr\u00f3b\u00e1ld ki most ingyenesen a matek \u00e9retts\u00e9gi felk\u00e9sz\u00edt\u0151 tananyagunk dem\u00f3 verzi\u00f3j\u00e1t!<\/b><\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-4c738fd elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"4c738fd\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-7af815a\" data-id=\"7af815a\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-9169391 elementor-widget elementor-widget-image\" data-id=\"9169391\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img fetchpriority=\"high\" decoding=\"async\" width=\"300\" height=\"177\" src=\"https:\/\/www.tantaki.hu\/blog\/wp-content\/uploads\/2018\/03\/erettsegire_feljpg-300x177.jpg\" class=\"attachment-medium size-medium wp-image-5198\" alt=\"\" srcset=\"https:\/\/www.tantaki.hu\/blog\/wp-content\/uploads\/2018\/03\/erettsegire_feljpg-300x177.jpg 300w, https:\/\/www.tantaki.hu\/blog\/wp-content\/uploads\/2018\/03\/erettsegire_feljpg-620x365.jpg 620w, https:\/\/www.tantaki.hu\/blog\/wp-content\/uploads\/2018\/03\/erettsegire_feljpg-768x452.jpg 768w, https:\/\/www.tantaki.hu\/blog\/wp-content\/uploads\/2018\/03\/erettsegire_feljpg.jpg 999w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-fb52ab6 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"fb52ab6\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-d6b51cd\" data-id=\"d6b51cd\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-95df188 elementor-align-center elementor-widget elementor-widget-button\" data-id=\"95df188\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/www.tantaki.hu\/demo\/erettsegire_fel_matek_demo\/story_html5.html\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Tananyag ind\u00edt\u00e1sa<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-734a7e4c elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"734a7e4c\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-2f697a7b\" data-id=\"2f697a7b\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-3e18f71f elementor-widget elementor-widget-text-editor\" data-id=\"3e18f71f\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p><!-- wp:image --><\/p><figure class=\"wp-block-image\"><span style=\"color: #da4453; font-family: 'Roboto Slab', serif; font-size: 16px; font-weight: bold;\">Logikai szita<\/span><\/figure><p>Ennek a m\u00f3dszernek az a l\u00e9nyege, hogy a halmazban l\u00e9v\u0151 \u00f6sszes elemb\u0151l <strong>kivonjuk<\/strong> az egy tulajdons\u00e1ggal rendelkez\u0151k sz\u00e1m\u00e1t.<\/p><p>Mutasd meg a Facebookon Te is az ismer\u0151seidnek a cikket, kattints a gombra:<br \/><script><br \/>\nvar w=102;<br \/>\nvar h=28;<br \/>\ndocument.write('<iframe src=\"https:\/\/www.facebook.com\/plugins\/share_button.php?href='+document.location+'&#038;layout=button&#038;size=large&#038;mobile_iframe=true&#038;appId=226902774100595&#038;width='+w+'&#038;height='+h+'\" width=\"'+w+'\" height=\"'+h+'\" style=\"border:none;overflow:hidden\" scrolling=\"no\" frameborder=\"0\" allowTransparency=\"true\"><\/iframe>');<br \/>\n<\/script><\/p><p>\u00c1ltal\u00e1ban olyan feladatokn\u00e1l haszn\u00e1ljuk, ahol k\u00e9t halmaz metszet\u00e9nek a sz\u00e1moss\u00e1g\u00e1t kell megadnunk.<\/p><p>Egy halmaz sz\u00e1moss\u00e1g\u00e1t (teh\u00e1t, hogy h\u00e1ny elemet tartalmaz) \u00edgy jel\u00f6lj\u00fck: <strong>|<em>A<\/em>|<\/strong><\/p><p><strong>K\u00e9t halmazra: <\/strong><\/p><p><img decoding=\"async\" class=\"aligncenter size-full wp-image-4301\" src=\"https:\/\/www.tantaki.hu\/blog\/wp-content\/uploads\/2017\/01\/halmaz1.png\" alt=\"\" width=\"193\" height=\"29\" \/><\/p><p><strong>H\u00e1rom halmazra: <\/strong><\/p><p><img decoding=\"async\" class=\"aligncenter size-full wp-image-4302\" src=\"https:\/\/www.tantaki.hu\/blog\/wp-content\/uploads\/2017\/01\/halmaz2.png\" alt=\"\" width=\"462\" height=\"29\" srcset=\"https:\/\/www.tantaki.hu\/blog\/wp-content\/uploads\/2017\/01\/halmaz2.png 462w, https:\/\/www.tantaki.hu\/blog\/wp-content\/uploads\/2017\/01\/halmaz2-300x19.png 300w\" sizes=\"(max-width: 462px) 100vw, 462px\" \/><\/p><h4>P\u00e9ldafeladat<\/h4><p>Egy iskola 12. \u00e9vfolyam\u00e1ra 145 di\u00e1k j\u00e1r. A h\u00e1rom legn\u00e9pszer\u0171bb sport a foci, az \u00fasz\u00e1s \u00e9s a k\u00e9zilabda. 68 di\u00e1k focizik, 71-en \u00fasznak,<\/p><p>\u00e9s 54-en k\u00e9zilabd\u00e1znak. 30 di\u00e1k focizik \u00e9s \u00faszik,<\/p><p>16 focizik \u00e9s k\u00e9zilabd\u00e1zik, \u00e9s 24 \u00faszik \u00e9s k\u00e9zilabd\u00e1zik.<\/p><p>\u00d6sszesen 3-an \u0171zik mindh\u00e1rom sportot. H\u00e1ny olyan di\u00e1k van,<\/p><p>aki ezek k\u00f6z\u00fcl egyik sportot sem v\u00e1lasztotta?<\/p><h4>Megold\u00e1s<\/h4><p>K\u00e9sz\u00edts\u00fcnk halmaz\u00e1br\u00e1t! 3 karika jel\u00f6li a h\u00e1rom sportot.<\/p><p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-4303\" src=\"https:\/\/www.tantaki.hu\/blog\/wp-content\/uploads\/2017\/01\/halmaz3.png\" alt=\"\" width=\"208\" height=\"174\" \/><\/p><p>A 3 karik\u00e1nak egy k\u00f6z\u00f6s r\u00e9sze van k\u00f6z\u00e9pen. Ide j\u00f6n az a 3 di\u00e1k, aki mindh\u00e1rom sportot \u0171zi. A 30 fociz\u00f3 \u00e9s \u00fasz\u00f3 di\u00e1kb\u00f3l levonjuk a 3-at, az 27. Ez ker\u00fcl a fociz\u00f3k \u00e9s \u00fasz\u00f3k k\u00f6z\u00f6s r\u00e9sz\u00e9be.<\/p><p>Ezut\u00e1n a fociz\u00f3k \u00e9s k\u00e9zilabd\u00e1z\u00f3k k\u00f6z\u00f6s r\u00e9sz\u00e9t t\u00f6lthetj\u00fck ki: 16 \u2013 3 = 13. V\u00e9g\u00fcl az \u00fasz\u00f3k \u00e9s k\u00e9zilabd\u00e1z\u00f3k\u00e9t: 24-3=21.<\/p><p>Ezut\u00e1n a csak fociz\u00f3k j\u00f6nnek. Ezt \u00fagy kapjuk meg, hogy 68-b\u00f3l kivonjuk a 27-et, a 3-at \u00e9s a 13-at, ami 25 lesz.<\/p><p>Ugyan\u00edgy megkapjuk a csak \u00fasz\u00f3kat (20) \u00e9s a csak k\u00e9zilabd\u00e1z\u00f3kat (17).<\/p><p>Ha az \u00f6sszes halmaz\u00e1br\u00e1ba ker\u00fclt sz\u00e1mot \u00f6sszeadjuk, 126-ot kapunk.<\/p><p>Ezt kivonjuk 145-b\u0151l, \u00e9s megkapjuk, hogy h\u00e1nyan vannak azok, akik m\u00e1st sportolnak: 19.<\/p><p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-4304\" src=\"https:\/\/www.tantaki.hu\/blog\/wp-content\/uploads\/2017\/01\/halmaz4.png\" alt=\"\" width=\"228\" height=\"171\" \/><\/p><p>Ha v\u00e9giggondoljuk a p\u00e9ld\u00e1kat, m\u00e1r nem is t\u0171nnek olyan neh\u00e9znek <strong>a halmazos feladatok.<\/strong><\/p><p>Tov\u00e1bbi tippeket szeretn\u00e9l kapni? <strong>Kattints a k\u00e9pre<\/strong> \u00e9s k\u00e9rd az ingyenes e-mailes tippeket!<\/p><p><a href=\"http:\/\/www.tantaki.hu\/hirlevel\/tantaki_gyujto?utm_source=erettsegi_5bejegyzes&amp;utm_campaign=Blog&amp;utm_medium=masodik_link\" target=\"_blank\" rel=\"noopener\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-4059\" src=\"https:\/\/www.tantaki.hu\/blog\/wp-content\/uploads\/2016\/09\/email_1.png\" alt=\"\" width=\"291\" height=\"111\" srcset=\"https:\/\/www.tantaki.hu\/blog\/wp-content\/uploads\/2016\/09\/email_1.png 788w, https:\/\/www.tantaki.hu\/blog\/wp-content\/uploads\/2016\/09\/email_1-300x115.png 300w, https:\/\/www.tantaki.hu\/blog\/wp-content\/uploads\/2016\/09\/email_1-768x293.png 768w, https:\/\/www.tantaki.hu\/blog\/wp-content\/uploads\/2016\/09\/email_1-620x237.png 620w\" sizes=\"(max-width: 291px) 100vw, 291px\" \/><\/a><\/p><p>K\u00f6sz\u00f6nj\u00fck, hogy vel\u00fcnk tartott\u00e1l az \u00f6t r\u00e9szes felk\u00e9sz\u00edt\u0151 sorozatunk sor\u00e1n! Rem\u00e9lj\u00fck gyermeked sikeresen teljes\u00edti a matematika \u00e9retts\u00e9git!<\/p><p>\u00a0<\/p><p>Nagy Erika<br \/>a j\u00e1t\u00e9kos tanul\u00e1s szak\u00e9rt\u0151je<\/p><p>Ha tetszett a cikk, mutasd meg a bar\u00e1taidnak is! Kattints a megoszt\u00e1s gombra!<br \/><script><br \/>\nvar w=102;<br \/>\nvar h=28;<br \/>\ndocument.write('<iframe src=\"https:\/\/www.facebook.com\/plugins\/share_button.php?href='+document.location+'&#038;layout=button&#038;size=large&#038;mobile_iframe=true&#038;appId=226902774100595&#038;width='+w+'&#038;height='+h+'\" width=\"'+w+'\" height=\"'+h+'\" style=\"border:none;overflow:hidden\" scrolling=\"no\" frameborder=\"0\" allowTransparency=\"true\"><\/iframe>');<br \/>\n<\/script><\/p><p>\u00a0<\/p><p><!-- wp:paragraph --><\/p><p><!-- \/wp:paragraph --><\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>\u00c9retts\u00e9gi&nbsp;felk\u00e9sz\u00edt\u0151 sorozatunk 5. r\u00e9sze a logikai szit\u00e1val foglalkozik. A&nbsp;kamatsz\u00e1m\u00edt\u00e1s,&nbsp;az&nbsp;\u00e1tlagok&nbsp;\u00e9s a&nbsp;geometria&nbsp;ut\u00e1n a halmazok t\u00e9mak\u00f6re sem maradhat ki! A matematika \u00e9retts\u00e9gi els\u0151 fel\u00e9ben tal\u00e1lhat\u00f3ak a&nbsp;logikai feladatok.&nbsp;Gyakran el\u0151fordulnak halmazokkal kapcsolatos p\u00e9ld\u00e1k, amikhez megfelel\u0151 ismeretekre van sz\u00fcks\u00e9g. Tudnunk kell, hogy mit jelentenek az egyes szimb\u00f3lumok&nbsp;(uni\u00f3, kiv\u00e9ve)&nbsp;\u00e9s megfelel\u0151en kell \u0151ket alkalmazni! Gyermeked halmazba tudja rendezni az adatokat? Amennyiben nem tudja [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":5197,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[93,383,1,8,308],"tags":[246,379,394,397,395,7,247,204,396],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.tantaki.hu\/blog\/wp-json\/wp\/v2\/posts\/4300"}],"collection":[{"href":"https:\/\/www.tantaki.hu\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.tantaki.hu\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.tantaki.hu\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.tantaki.hu\/blog\/wp-json\/wp\/v2\/comments?post=4300"}],"version-history":[{"count":18,"href":"https:\/\/www.tantaki.hu\/blog\/wp-json\/wp\/v2\/posts\/4300\/revisions"}],"predecessor-version":[{"id":5255,"href":"https:\/\/www.tantaki.hu\/blog\/wp-json\/wp\/v2\/posts\/4300\/revisions\/5255"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.tantaki.hu\/blog\/wp-json\/wp\/v2\/media\/5197"}],"wp:attachment":[{"href":"https:\/\/www.tantaki.hu\/blog\/wp-json\/wp\/v2\/media?parent=4300"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.tantaki.hu\/blog\/wp-json\/wp\/v2\/categories?post=4300"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.tantaki.hu\/blog\/wp-json\/wp\/v2\/tags?post=4300"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}