{"id":911,"date":"2025-12-05T13:31:01","date_gmt":"2025-12-05T12:31:01","guid":{"rendered":"https:\/\/mymatma.pl\/?p=911"},"modified":"2025-12-08T17:11:10","modified_gmt":"2025-12-08T16:11:10","slug":"zadanie-34","status":"publish","type":"post","link":"https:\/\/mymatma.pl\/?p=911","title":{"rendered":"Zadanie 34"},"content":{"rendered":"\n<p><strong>zadanie 16 \u2013 czerwiec 2025 ( 1 pkt)<\/strong><\/p>\n\n\n\n<p>Trzywyrazowy ci\u0105g (4,m,m\u22121) jest geometryczny, gdy liczba m jest:<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-28f84493 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-28f84493 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><\/div>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-28f84493 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-28f84493 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n    <div class=\"premium-wrapper-odp\" id=\"odp_69e22a790b311\">\n        <button class=\"premium-btn-odp\"\n                data-id=\"odp_69e22a790b311\"\n                style=\"margin-top:10px; padding:12px 20px; background:#28a745; color:#fff; border-radius:25px; border:none; cursor:pointer; font-weight:bold;\">\n            Poka\u017c odpowied\u017a\n        <\/button>\n\n        <div class=\"premium-content-odp\" style=\"display:none; padding:15px; border:1px solid #28a745; margin-top:10px; background:#e6ffe6; border-radius:25px;\">\n            \nPrawid\u0142owa odpowied\u017a to C.\n        <\/div>\n    <\/div>\n    \n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n    <div class=\"premium-wrapper-wyjasnienie\" id=\"wyjasnienie_69e22a790b31d\">\n        <button class=\"premium-btn-wyjasnienie\"\n                data-id=\"wyjasnienie_69e22a790b31d\"\n                style=\"margin-top:10px; padding:12px 20px; background:#28a745; color:#fff; border-radius:25px; border:none; cursor:pointer; font-weight:bold;\">\n            Poka\u017c wyja\u015bnienie\n        <\/button>\n\n        <div class=\"premium-content-wyjasnienie\" style=\"display:none; padding:15px; border:1px solid #28a745; margin-top:10px; background:#e6ffe6; border-radius:25px;\">\n            \n<!DOCTYPE html>\n<html lang=\"pl\">\n<head>\n    <meta charset=\"UTF-8\">\n    <meta name=\"viewport\" content=\"width=device-width, initial-scale=1.0\">\n<\/head>\n<body>\n    <p>Dany jest trzywyrazowy ci\u0105g geometryczny (4, m, m-1).<\/p>\n\n    <p>Wybierz warto\u015b\u0107 liczby m, dla kt\u00f3rej ci\u0105g jest geometryczny:<\/p>\n    <ul>\n        <li>a) -3<\/li>\n        <li>b) -2<\/li>\n        <li>c) 2<\/li>\n        <li>d) 3<\/li>\n    <\/ul>\n\n    <div>\n        <p>Krok 1: Warunek ci\u0105gu geometrycznego:<\/p>\n        <p>m \/ 4 = (m-1) \/ m<\/p>\n\n        <p>Krok 2: Rozwi\u0105zujemy r\u00f3wnanie:<\/p>\n        <p>m\u00b2 = 4(m-1) \u2192 m\u00b2 = 4m &#8211; 4 \u2192 m\u00b2 &#8211; 4m + 4 = 0 \u2192 (m-2)\u00b2 = 0 \u2192 m = 2<\/p>\n\n        <p><strong>Wniosek:<\/strong> Poprawna odpowied\u017a to <strong>c) 2<\/strong><\/p>\n    <\/div>\n<\/body>\n<\/html>\n        <\/div>\n    <\/div>\n    \n<\/div>\n<\/div>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>zadanie 16 \u2013 czerwiec 2025 ( 1 pkt) Trzywyrazowy ci\u0105g (4,m,m\u22121) jest geometryczny, gdy liczba m jest:<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"saved_in_kubio":false,"_uag_custom_page_level_css":"","_themeisle_gutenberg_block_has_review":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[31,102,115,81,83],"tags":[29,100,112],"class_list":["post-911","post","type-post","status-publish","format-standard","hentry","category-ciag-geometryczny","category-czerwiec-2025","category-trzy-kolejne-wyrazy-ciagu","category-zadania-maturalne","category-zadania-tematami","tag-ciag-geometryczny","tag-czerwiec-2025","tag-trzy-kolejne-wyrazy-ciagu"],"jetpack_featured_media_url":"","uagb_featured_image_src":{"full":false,"thumbnail":false,"medium":false,"medium_large":false,"large":false,"1536x1536":false,"2048x2048":false,"kubio-fullhd":false,"woocommerce_thumbnail":false,"woocommerce_single":false,"woocommerce_gallery_thumbnail":false},"uagb_author_info":{"display_name":"adminmymatma","author_link":"https:\/\/mymatma.pl\/?author=1"},"uagb_comment_info":0,"uagb_excerpt":"zadanie 16 \u2013 czerwiec 2025 ( 1 pkt) Trzywyrazowy ci\u0105g (4,m,m\u22121) jest geometryczny, gdy liczba m jest:","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/mymatma.pl\/index.php?rest_route=\/wp\/v2\/posts\/911","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mymatma.pl\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mymatma.pl\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mymatma.pl\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mymatma.pl\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=911"}],"version-history":[{"count":3,"href":"https:\/\/mymatma.pl\/index.php?rest_route=\/wp\/v2\/posts\/911\/revisions"}],"predecessor-version":[{"id":926,"href":"https:\/\/mymatma.pl\/index.php?rest_route=\/wp\/v2\/posts\/911\/revisions\/926"}],"wp:attachment":[{"href":"https:\/\/mymatma.pl\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=911"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mymatma.pl\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=911"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mymatma.pl\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=911"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}