{"id":203,"date":"2026-03-05T11:21:17","date_gmt":"2026-03-05T10:21:17","guid":{"rendered":"https:\/\/zalapto.pl\/baza\/?p=203"},"modified":"2026-03-05T11:23:49","modified_gmt":"2026-03-05T10:23:49","slug":"zadanie-1-matura-probna-matematyka-marzec-2026","status":"publish","type":"post","link":"https:\/\/zalapto.pl\/baza\/zadanie-1-matura-probna-matematyka-marzec-2026\/","title":{"rendered":"Zadanie 1 &#8211; Matura pr\u00f3bna matematyka CKE (Marzec 2026)"},"content":{"rendered":"\n\n\n<div class=\"mb-4\">\n    <a href=\"https:\/\/zalapto.pl\/baza\/matura-probna-matematyka-cke-2026-marzec\" class=\"btn btn-outline-primary btn-sm rounded-pill fw-bold shadow-sm\">\n        <i class=\"bi bi-arrow-left me-1\"><\/i> Wr\u00f3\u0107 do pe\u0142nego arkusza z marcem 2026\n    <\/a>\n<\/div>\n\n<div class=\"card border border-light shadow-sm rounded-4 mb-5\">\n    <div class=\"card-body p-4 p-md-5\">\n        \n        <h2 class=\"fw-bold text-dark mb-4 border-bottom pb-2 fs-4\">Tre\u015b\u0107 zadania<\/h2>\n        <div class=\"fs-5 mb-4 text-dark\" style=\"line-height: 1.8;\">\n            Liczby \\( x \\) oraz \\( y \\) s\u0105 ca\u0142kowite i dodatnie. W wyniku dzielenia liczby \\( x \\) przez liczb\u0119 \\( y \\) otrzymano iloraz 20 i reszt\u0119 26. Doko\u0144cz zdanie. Wybierz w\u0142a\u015bciw\u0105 odpowied\u017a spo\u015br\u00f3d podanych.<br><br>\n            Liczba \\( \\frac{x}{y} \\) jest r\u00f3wna:<br>\n            A. \\( 26+\\frac{20}{x} \\)<br>\n            B. \\( 26+\\frac{20}{y} \\)<br>\n            C. \\( 20+\\frac{26}{x} \\)<br>\n            D. \\( 20+\\frac{26}{y} \\)\n        <\/div>\n\n        <h2 class=\"fw-bold text-dark mb-4 border-bottom pb-2 mt-5 fs-4\">Rozwi\u0105zanie krok po kroku<\/h2>\n        \n        <details class=\"mb-3\">\n            <summary class=\"btn btn-warning text-dark fw-bold rounded-pill px-4\" style=\"cursor: pointer;\">\n                <i class=\"bi bi-lightbulb\"><\/i> Zobacz podpowied\u017a\n            <\/summary>\n            <div class=\"p-4 mt-3 bg-light border rounded-4\">\n                Zapisz og\u00f3ln\u0105 zale\u017cno\u015b\u0107 wynikaj\u0105c\u0105 z dzielenia z reszt\u0105: \\( \\text{Dzielna} = \\text{iloraz} \\cdot \\text{dzielnik} + \\text{reszta} \\). Podstaw swoje liczby z zadania, a nast\u0119pnie podziel obie strony utworzonego r\u00f3wnania przez \\( y \\).\n            <\/div>\n        <\/details>\n\n        <details>\n            <summary class=\"btn btn-success fw-bold rounded-pill px-4\" style=\"cursor: pointer;\">\n                <i class=\"bi bi-check-circle\"><\/i> Sprawd\u017a pe\u0142ne rozwi\u0105zanie\n            <\/summary>\n            <div class=\"p-4 mt-3 bg-success bg-opacity-10 border border-success rounded-4 text-dark fs-6\">\n                \n                <p><strong>1. Zapisujemy r\u00f3wnanie:<\/strong><\/p>\n                Wiemy, \u017ce je\u015bli podzielimy \\( x \\) przez \\( y \\), dostaniemy 20 ca\u0142ych cz\u0119\u015bci i zostanie nam reszta 26. Matematycznie zapisujemy to tak:\n                $$ x = 20 \\cdot y + 26 $$\n                \n                <p><strong>2. Przekszta\u0142camy wz\u00f3r, aby uzyska\u0107 u\u0142amek z zadania:<\/strong><\/p>\n                Szukamy warto\u015bci u\u0142amka \\( \\frac{x}{y} \\), wi\u0119c po prostu podzielmy nasze r\u00f3wnanie obustronnie przez \\( y \\):\n                <div class=\"za-math-scroll\">\n                    $$ \\frac{x}{y} = \\frac{20y + 26}{y} $$\n                    $$ \\frac{x}{y} = \\frac{20y}{y} + \\frac{26}{y} $$\n                <\/div>\n                Igreki przy pierwszej liczbie si\u0119 skracaj\u0105, wi\u0119c zostaje nam:\n                $$ \\frac{x}{y} = 20 + \\frac{26}{y} $$\n                \n                <hr class=\"border-success opacity-25 my-4\">\n                <p class=\"fw-bold mb-0 text-success fs-5\">Poprawna odpowied\u017a: D<\/p>\n                \n            <\/div>\n        <\/details>\n\n    <\/div>\n<\/div>\n\n<div class=\"bg-primary bg-opacity-10 border border-primary border-opacity-25 rounded-4 p-4 text-center mt-2\">\n    <p class=\"fw-bold text-primary mb-2\">To zadanie sprawi\u0142o Ci trudno\u015b\u0107?<\/p>\n    <p class=\"small text-muted mb-3\">Zosta\u0142o ma\u0142o czasu do maja, ale z nami na pewno to <strong>Za\u0142apiesz<\/strong>. Przer\u00f3bmy to razem na wirtualnej tablicy.<\/p>\n    <a href=\"https:\/\/zalapto.pl\/#zapisy\" class=\"btn btn-primary btn-sm rounded-pill fw-bold px-4\">Zapisz si\u0119 na korepetycje<\/a>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Wr\u00f3\u0107 do pe\u0142nego arkusza z marcem 2026 Tre\u015b\u0107 zadania Liczby \\( x \\) oraz \\( y \\) s\u0105 ca\u0142kowite i dodatnie. W wyniku dzielenia liczby \\( x \\) przez liczb\u0119 \\( y \\) otrzymano iloraz 20 i reszt\u0119 26. Doko\u0144cz zdanie. Wybierz w\u0142a\u015bciw\u0105 odpowied\u017a spo\u015br\u00f3d podanych. Liczba \\( \\frac{x}{y} \\) jest r\u00f3wna: A. \\( 26+\\frac{20}{x} [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[3,26],"tags":[],"class_list":["post-203","post","type-post","status-publish","format-standard","hentry","category-matura-podstawowa","category-zadania"],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/zalapto.pl\/baza\/wp-json\/wp\/v2\/posts\/203","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/zalapto.pl\/baza\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/zalapto.pl\/baza\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/zalapto.pl\/baza\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/zalapto.pl\/baza\/wp-json\/wp\/v2\/comments?post=203"}],"version-history":[{"count":3,"href":"https:\/\/zalapto.pl\/baza\/wp-json\/wp\/v2\/posts\/203\/revisions"}],"predecessor-version":[{"id":207,"href":"https:\/\/zalapto.pl\/baza\/wp-json\/wp\/v2\/posts\/203\/revisions\/207"}],"wp:attachment":[{"href":"https:\/\/zalapto.pl\/baza\/wp-json\/wp\/v2\/media?parent=203"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/zalapto.pl\/baza\/wp-json\/wp\/v2\/categories?post=203"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/zalapto.pl\/baza\/wp-json\/wp\/v2\/tags?post=203"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}