{"id":3614,"date":"2024-08-05T11:29:48","date_gmt":"2024-08-05T09:29:48","guid":{"rendered":"https:\/\/katedra.sk\/versenyek\/?post_type=matematikaverseny&#038;p=3614"},"modified":"2026-03-13T07:05:55","modified_gmt":"2026-03-13T06:05:55","slug":"levelezos-verseny-megoldasok","status":"publish","type":"matematikaverseny","link":"https:\/\/katedra.sk\/versenyek\/matematikaverseny\/levelezos-verseny-megoldasok\/","title":{"rendered":"Levelez\u0151s verseny &#8211; Megold\u00e1sok"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"3614\" class=\"elementor elementor-3614\" data-elementor-post-type=\"matematikaverseny\">\n\t\t\t\t<div class=\"elementor-element elementor-element-4073c01 e-con-full elementor-hidden-desktop elementor-hidden-laptop elementor-hidden-tablet elementor-hidden-mobile e-flex e-con e-parent\" data-id=\"4073c01\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-27ddeda elementor-widget elementor-widget-text-editor\" data-id=\"27ddeda\" data-element_type=\"widget\" data-e-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\t\t<p>Az egyes fordul\u00f3k megold\u00e1sait 2026 janu\u00e1rj\u00e1t\u00f3l fokozatosan tessz\u00fck k\u00f6zz\u00e9.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-e1a5910 e-con-full e-flex e-con e-parent\" data-id=\"e1a5910\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t<div class=\"elementor-element elementor-element-80dc21e e-con-full e-flex e-con e-child\" data-id=\"80dc21e\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-d4d7f5c elementor-widget elementor-widget-heading\" data-id=\"d4d7f5c\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h4 class=\"elementor-heading-title elementor-size-default\">1. fordul\u00f3<\/h4>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-0069da6 elementor-widget elementor-widget-heading\" data-id=\"0069da6\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<span class=\"elementor-heading-title elementor-size-default\"><a href=\"\/versenyek\/wp-content\/uploads\/2024\/08\/2025_2026_MATEMATIKA_MEGOLDASOK_1.pdf\">Megold\u00e1sok - 1. fordul\u00f3 (let\u00f6lt\u00e9s)<\/a><\/span>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-0a569a7 e-con-full elementor-hidden-desktop elementor-hidden-laptop elementor-hidden-tablet elementor-hidden-mobile e-flex e-con e-child\" data-id=\"0a569a7\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-053ca79 elementor-widget elementor-widget-heading\" data-id=\"053ca79\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h4 class=\"elementor-heading-title elementor-size-default\">1. fordul\u00f3<\/h4>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-7dba1ce elementor-widget elementor-widget-embedpress_pdf\" data-id=\"7dba1ce\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"embedpress_pdf.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t    <div class=\"embedpress-document-embed ep-doc-5551533835f0fe2b81ebca7a0b5b4989 ose-document emebedpress-unit-percent \" data-thememode=\"default\" data-customcolor=\"\" data-toolbar=\"yes\" data-toolbar-position=\"top\" data-open=\"no\" data-presentation-mode=\"yes\" data-download=\"yes\" data-copy=\"yes\" data-add-image=\"yes\" data-rotate=\"yes\" data-details=\"yes\" data-id=\"embedpress-pdf-7dba1ce\" data-selection-tool=\"0\" data-scrolling=\"0\" data-spreads=\"-1\" style=\" max-width:100%; display: inline-block\">\n\n        \n                <div >\n\n                    <div id=\"ep-elementor-content-7dba1ce\" class=\"ep-elementor-content   ep-percentage-width   ep-content-protection-disabled\">\n                        <div id=\"7dba1ce\" class=\"ep-embed-content-wraper\">\n                            <div><iframe title=\"2025_2026_MATEMATIKA_MEGOLDASOK_1\" class=\"embedpress-embed-document-pdf embedpress-pdf-7dba1ce\" style=\"width: 100%!important;height: 720px;; max-width:100%; display: inline-block\" src=\"https:\/\/katedra.sk\/versenyek\/wp-admin\/admin-ajax.php?action=get_viewer&#038;file=https%3A%2F%2Fkatedra.sk%2Fversenyek%2Fwp-content%2Fuploads%2F2024%2F08%2F2025_2026_MATEMATIKA_MEGOLDASOK_1.pdf&#038;scrolling=0&#038;selection_tool=0&#038;spreads=-1#key=dGhlbWVNb2RlPWRlZmF1bHQmdG9vbGJhcj10cnVlJnBvc2l0aW9uPXRvcCZwcmVzZW50YXRpb249dHJ1ZSZsYXp5TG9hZD1mYWxzZSZkb3dubG9hZD10cnVlJmNvcHlfdGV4dD10cnVlJmFkZF90ZXh0PXRydWUmZHJhdz10cnVlJmFkZF9pbWFnZT10cnVlJnBkZl9yb3RhdGlvbj10cnVlJnBkZl9kZXRhaWxzPXRydWUmem9vbV9pbj10cnVlJnpvb21fb3V0PXRydWUmZml0X3ZpZXc9dHJ1ZSZib29rbWFyaz10cnVlJnNvdW5kPXRydWUmZmxpcGJvb2tfdG9vbGJhcl9wb3NpdGlvbj1ib3R0b20mc2VsZWN0aW9uX3Rvb2w9MCZzY3JvbGxpbmc9MCZzcHJlYWRzPS0xJmlzX3Byb19hY3RpdmU9MA==&#038;zoom=page-width\" class=\"embedpress-embed-document-pdf embedpress-pdf-7dba1ce\" data-emid=\"embedpress-pdf-7dba1ce\" data-embed-type=\"PDF\" frameborder=\"0\"><\/iframe><\/div>                        <\/div>\n\n                    <\/div>\n\n\n                   \n                <\/div>\n            \n    <\/div>\n\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-d676744 e-con-full e-flex e-con e-child\" data-id=\"d676744\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-c919226 elementor-widget elementor-widget-heading\" data-id=\"c919226\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h4 class=\"elementor-heading-title elementor-size-default\">2. fordul\u00f3<\/h4>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-0e2b22a elementor-widget elementor-widget-heading\" data-id=\"0e2b22a\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<span class=\"elementor-heading-title elementor-size-default\"><a href=\"\/versenyek\/wp-content\/uploads\/2024\/08\/2025_2026_MATEMATIKA_MEGOLDASOK_2.pdf\">Megold\u00e1sok - 2. fordul\u00f3 (let\u00f6lt\u00e9s)<\/a><\/span>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-af323eb e-con-full elementor-hidden-desktop elementor-hidden-laptop elementor-hidden-tablet elementor-hidden-mobile e-flex e-con e-child\" data-id=\"af323eb\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-1a789f0 elementor-widget elementor-widget-heading\" data-id=\"1a789f0\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h4 class=\"elementor-heading-title elementor-size-default\">2. fordul\u00f3<\/h4>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-4d50125 elementor-widget elementor-widget-embedpress_pdf\" data-id=\"4d50125\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"embedpress_pdf.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t    <div class=\"embedpress-document-embed ep-doc-288c75aaa22f711c268f78fd8cc95188 ose-document emebedpress-unit-percent \" data-thememode=\"default\" data-customcolor=\"\" data-toolbar=\"yes\" data-toolbar-position=\"top\" data-open=\"no\" data-presentation-mode=\"yes\" data-download=\"yes\" data-copy=\"yes\" data-add-image=\"yes\" data-rotate=\"yes\" data-details=\"yes\" data-id=\"embedpress-pdf-4d50125\" data-selection-tool=\"0\" data-scrolling=\"0\" data-spreads=\"-1\" style=\" max-width:100%; display: inline-block\">\n\n        \n                <div >\n\n                    <div id=\"ep-elementor-content-4d50125\" class=\"ep-elementor-content   ep-percentage-width   ep-content-protection-disabled\">\n                        <div id=\"4d50125\" class=\"ep-embed-content-wraper\">\n                            <div><iframe title=\"2025_2026_MATEMATIKA_MEGOLDASOK_2\" class=\"embedpress-embed-document-pdf embedpress-pdf-4d50125\" style=\"width: 100%!important;height: 720px;; max-width:100%; display: inline-block\" src=\"https:\/\/katedra.sk\/versenyek\/wp-admin\/admin-ajax.php?action=get_viewer&#038;file=https%3A%2F%2Fkatedra.sk%2Fversenyek%2Fwp-content%2Fuploads%2F2024%2F08%2F2025_2026_MATEMATIKA_MEGOLDASOK_2.pdf&#038;scrolling=0&#038;selection_tool=0&#038;spreads=-1#key=dGhlbWVNb2RlPWRlZmF1bHQmdG9vbGJhcj10cnVlJnBvc2l0aW9uPXRvcCZwcmVzZW50YXRpb249dHJ1ZSZsYXp5TG9hZD1mYWxzZSZkb3dubG9hZD10cnVlJmNvcHlfdGV4dD10cnVlJmFkZF90ZXh0PXRydWUmZHJhdz10cnVlJmFkZF9pbWFnZT10cnVlJnBkZl9yb3RhdGlvbj10cnVlJnBkZl9kZXRhaWxzPXRydWUmem9vbV9pbj10cnVlJnpvb21fb3V0PXRydWUmZml0X3ZpZXc9dHJ1ZSZib29rbWFyaz10cnVlJnNvdW5kPXRydWUmZmxpcGJvb2tfdG9vbGJhcl9wb3NpdGlvbj1ib3R0b20mc2VsZWN0aW9uX3Rvb2w9MCZzY3JvbGxpbmc9MCZzcHJlYWRzPS0xJmlzX3Byb19hY3RpdmU9MA==&#038;zoom=page-width\" class=\"embedpress-embed-document-pdf embedpress-pdf-4d50125\" data-emid=\"embedpress-pdf-4d50125\" data-embed-type=\"PDF\" frameborder=\"0\"><\/iframe><\/div>                        <\/div>\n\n                    <\/div>\n\n\n                   \n                <\/div>\n            \n    <\/div>\n\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-dd0babe e-con-full e-flex e-con e-child\" data-id=\"dd0babe\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-2251c89 elementor-widget elementor-widget-heading\" data-id=\"2251c89\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h4 class=\"elementor-heading-title elementor-size-default\">3. fordul\u00f3<\/h4>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-56aadd5 elementor-widget elementor-widget-heading\" data-id=\"56aadd5\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<span class=\"elementor-heading-title elementor-size-default\"><a href=\"\/versenyek\/wp-content\/uploads\/2024\/08\/2025_2026_MATEMATIKA_MEGOLDASOK_3.pdf\">Megold\u00e1sok - 3. fordul\u00f3 (let\u00f6lt\u00e9s)<\/a><\/span>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-4e42d6f e-con-full elementor-hidden-desktop elementor-hidden-laptop elementor-hidden-tablet elementor-hidden-mobile e-flex e-con e-child\" data-id=\"4e42d6f\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-5533ad9 elementor-widget elementor-widget-heading\" data-id=\"5533ad9\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h4 class=\"elementor-heading-title elementor-size-default\">3. fordul\u00f3<\/h4>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-d2ca9d8 elementor-widget elementor-widget-embedpress_pdf\" data-id=\"d2ca9d8\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"embedpress_pdf.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t    <div class=\"embedpress-document-embed ep-doc-de9028de4ce60fbf5653c82f21ff30da ose-document emebedpress-unit-percent \" data-thememode=\"default\" data-customcolor=\"\" data-toolbar=\"yes\" data-toolbar-position=\"top\" data-open=\"no\" data-presentation-mode=\"yes\" data-download=\"yes\" data-copy=\"yes\" data-add-image=\"yes\" data-rotate=\"yes\" data-details=\"yes\" data-id=\"embedpress-pdf-d2ca9d8\" data-selection-tool=\"0\" data-scrolling=\"0\" data-spreads=\"-1\" style=\" max-width:100%; display: inline-block\">\n\n        \n                <div >\n\n                    <div id=\"ep-elementor-content-d2ca9d8\" class=\"ep-elementor-content   ep-percentage-width   ep-content-protection-disabled\">\n                        <div id=\"d2ca9d8\" class=\"ep-embed-content-wraper\">\n                            <div><iframe title=\"2025_2026_MATEMATIKA_MEGOLDASOK_3\" class=\"embedpress-embed-document-pdf embedpress-pdf-d2ca9d8\" style=\"width: 100%!important;height: 720px;; max-width:100%; display: inline-block\" src=\"https:\/\/katedra.sk\/versenyek\/wp-admin\/admin-ajax.php?action=get_viewer&#038;file=https%3A%2F%2Fkatedra.sk%2Fversenyek%2Fwp-content%2Fuploads%2F2024%2F08%2F2025_2026_MATEMATIKA_MEGOLDASOK_3.pdf&#038;scrolling=0&#038;selection_tool=0&#038;spreads=-1#key=dGhlbWVNb2RlPWRlZmF1bHQmdG9vbGJhcj10cnVlJnBvc2l0aW9uPXRvcCZwcmVzZW50YXRpb249dHJ1ZSZsYXp5TG9hZD1mYWxzZSZkb3dubG9hZD10cnVlJmNvcHlfdGV4dD10cnVlJmFkZF90ZXh0PXRydWUmZHJhdz10cnVlJmFkZF9pbWFnZT10cnVlJnBkZl9yb3RhdGlvbj10cnVlJnBkZl9kZXRhaWxzPXRydWUmem9vbV9pbj10cnVlJnpvb21fb3V0PXRydWUmZml0X3ZpZXc9dHJ1ZSZib29rbWFyaz10cnVlJnNvdW5kPXRydWUmZmxpcGJvb2tfdG9vbGJhcl9wb3NpdGlvbj1ib3R0b20mc2VsZWN0aW9uX3Rvb2w9MCZzY3JvbGxpbmc9MCZzcHJlYWRzPS0xJmlzX3Byb19hY3RpdmU9MA==&#038;zoom=page-width\" class=\"embedpress-embed-document-pdf embedpress-pdf-d2ca9d8\" data-emid=\"embedpress-pdf-d2ca9d8\" data-embed-type=\"PDF\" frameborder=\"0\"><\/iframe><\/div>                        <\/div>\n\n                    <\/div>\n\n\n                   \n                <\/div>\n            \n    <\/div>\n\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-0acdaf0 e-con-full elementor-hidden-desktop elementor-hidden-laptop elementor-hidden-tablet elementor-hidden-mobile e-flex e-con e-child\" data-id=\"0acdaf0\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-40606fe elementor-widget elementor-widget-heading\" data-id=\"40606fe\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h4 class=\"elementor-heading-title elementor-size-default\">4. fordul\u00f3<\/h4>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-fde2f16 elementor-widget elementor-widget-heading\" data-id=\"fde2f16\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<span class=\"elementor-heading-title elementor-size-default\"><a href=\"\/versenyek\/wp-content\/uploads\/2024\/08\/2025_2026_MATEMATIKA_MEGOLDASOK_4.pdf\">Megold\u00e1sok - 4. fordul\u00f3 (let\u00f6lt\u00e9s)<\/a><\/span>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-f0a31ab e-con-full e-flex e-con e-child\" data-id=\"f0a31ab\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-7d31d9d elementor-widget elementor-widget-heading\" data-id=\"7d31d9d\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h4 class=\"elementor-heading-title elementor-size-default\">4. fordul\u00f3<\/h4>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-5cfe17a elementor-widget elementor-widget-embedpress_pdf\" data-id=\"5cfe17a\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"embedpress_pdf.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t    <div class=\"embedpress-document-embed ep-doc-04452066194b3caf11134656e10d6411 ose-document emebedpress-unit-percent \" data-thememode=\"default\" data-customcolor=\"\" data-toolbar=\"yes\" data-toolbar-position=\"top\" data-open=\"no\" data-presentation-mode=\"yes\" data-download=\"yes\" data-copy=\"yes\" data-add-image=\"yes\" data-rotate=\"yes\" data-details=\"yes\" data-id=\"embedpress-pdf-5cfe17a\" data-selection-tool=\"0\" data-scrolling=\"0\" data-spreads=\"-1\" style=\" max-width:100%; 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