{"id":1462,"date":"2020-08-24T20:20:18","date_gmt":"2020-08-24T18:20:18","guid":{"rendered":"http:\/\/matma.com.pl\/?p=1462"},"modified":"2020-08-26T23:07:20","modified_gmt":"2020-08-26T21:07:20","slug":"graniastoslupy-2","status":"publish","type":"post","link":"http:\/\/matma.com.pl\/?p=1462","title":{"rendered":"Graniastos\u0142upy"},"content":{"rendered":"<p><span style=\"font-family: 'book antiqua', palatino, serif;\"><span style=\"color: #4472c4;\"><strong>Graniastos\u0142up<\/strong><\/span> to bry\u0142a przestrzenna, kt\u00f3rego podstaw\u0105 jest wielok\u0105t, a \u015bciany boczne s\u0105 r\u00f3wnoleg\u0142obokami. Obie podstawy graniastos\u0142upa s\u0105 do siebie r\u00f3wnoleg\u0142e. Je\u015bli w podstawie b\u0119dziemy mieli wielok\u0105t foremny, wtedy graniastos\u0142up nazywamy prawid\u0142owym. Aby zrobi\u0107 czytelny rysunek graniastos\u0142upa postawy rysujemy \u201cuko\u015bnie\u201d.<\/span><\/p>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\">Poni\u017cej przyk\u0142ady graniastos\u0142up\u00f3w:<\/span><\/p>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\"><img fetchpriority=\"high\" decoding=\"async\" class=\"wp-image-983 aligncenter\" src=\"http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/graniastos%C5%82upy-300x91.png\" sizes=\"(max-width: 501px) 100vw, 501px\" srcset=\"http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/graniastos\u0142upy-300x91.png 300w, http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/graniastos\u0142upy-768x232.png 768w, http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/graniastos\u0142upy.png 835w\" alt=\"\" width=\"501\" height=\"152\" \/><\/span><\/p>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\"><span style=\"color: #4472c4;\"><strong>Graniastos\u0142up prosty<\/strong><\/span>\u00a0ma dwie takie same podstawy, kt\u00f3re s\u0105 r\u00f3wnoleg\u0142e. W jego podstawie mo\u017ce by\u0107 dowolny wielok\u0105t. \u015aciany boczne graniastos\u0142upa prostego s\u0105 prostok\u0105tami i s\u0105 one prostopad\u0142e do podstaw.<\/span><\/p>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\"><img decoding=\"async\" class=\"alignnone wp-image-1286 aligncenter\" src=\"http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/siatka1-228x300.png\" sizes=\"(max-width: 180px) 100vw, 180px\" srcset=\"http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/siatka1-228x300.png 228w, http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/siatka1.png 279w\" alt=\"\" width=\"180\" height=\"237\" \/><\/span><\/p>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\">Je\u015bli w podstawie graniastos\u0142upa prostego b\u0119dzie prostok\u0105t, to taki graniastos\u0142up nazywamy\u00a0<span style=\"color: #4472c4;\"><strong>prostopad\u0142o\u015bcianem<\/strong><\/span>. W bry\u0142ach tych ka\u017cd\u0105 \u015bcian\u0119 mo\u017cna uzna\u0107 za podstaw\u0119.<\/span><\/p>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\"><img decoding=\"async\" class=\"wp-image-1289 aligncenter\" src=\"http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/prostopad%C5%82o%C5%9Bcian-256x300.png\" sizes=\"(max-width: 172px) 100vw, 172px\" srcset=\"http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/prostopad\u0142o\u015bcian-256x300.png 256w, http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/prostopad\u0142o\u015bcian.png 374w\" alt=\"\" width=\"172\" height=\"202\" \/><\/span><\/p>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\">Je\u015bli wszystkie \u015bciany prostopad\u0142o\u015bcianu b\u0119d\u0105 kwadratami to taki graniastos\u0142up nazywamy\u00a0<span style=\"color: #4472c4;\"><strong>sze\u015bcianem<\/strong><\/span>.<\/span><\/p>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-1290 aligncenter\" src=\"http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/sze%C5%9Bcianek-300x282.png\" sizes=\"(max-width: 199px) 100vw, 199px\" srcset=\"http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/sze\u015bcianek-300x282.png 300w, http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/sze\u015bcianek.png 318w\" alt=\"\" width=\"199\" height=\"186\" \/><\/span><\/p>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\">W ka\u017cdym graniastos\u0142upie prostym mamy:<\/span><\/p>\n<ul>\n<li><span style=\"font-family: 'book antiqua', palatino, serif;\">dwie postawy b\u0119d\u0105ce wielok\u0105tami;<\/span><\/li>\n<li><span style=\"font-family: 'book antiqua', palatino, serif;\">\u015bciany boczne prostopad\u0142e do podstaw;<\/span><\/li>\n<li><span style=\"font-family: 'book antiqua', palatino, serif;\">odcinek, kt\u00f3ry \u0142\u0105czy podstawy i jest do nich prostopad\u0142y nazywany\u00a0<strong><span style=\"color: #4472c4;\">wysoko\u015bci\u0105 graniastos\u0142upa<\/span>.<\/strong><\/span><\/li>\n<\/ul>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\"><img loading=\"lazy\" decoding=\"async\" class=\" wp-image-1288 aligncenter\" src=\"http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/graniastos%C5%82up-opisy-300x189.png\" sizes=\"(max-width: 425px) 100vw, 425px\" srcset=\"http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/graniastos\u0142up-opisy-300x189.png 300w, http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/graniastos\u0142up-opisy.png 646w\" alt=\"\" width=\"425\" height=\"268\" \/><\/span><\/p>\n<p style=\"text-align: left;\"><span style=\"font-family: 'book antiqua', palatino, serif;\">W tym miejscu nale\u017cy wspomnie\u0107 o <span style=\"color: #4472c4;\"><strong>graniastos\u0142upach pochy\u0142ych<\/strong><\/span>, kt\u00f3rych \u015bciany boczne s\u0105 r\u00f3wnoleg\u0142obokami. Wysoko\u015b\u0107 nie jest kraw\u0119dzi\u0105 boczn\u0105, jak w graniastos\u0142upach prostych.<\/span><\/p>\n<p><span style=\"font-family: 'book antiqua', palatino, serif;\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-1466 aligncenter\" src=\"http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/GRANIASTOS\u0141UP-pochy\u0142y-300x116.png\" alt=\"\" width=\"442\" height=\"171\" srcset=\"http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/GRANIASTOS\u0141UP-pochy\u0142y-300x116.png 300w, http:\/\/matma.com.pl\/wp-content\/uploads\/2020\/08\/GRANIASTOS\u0141UP-pochy\u0142y.png 621w\" sizes=\"(max-width: 442px) 100vw, 442px\" \/><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Graniastos\u0142up to bry\u0142a przestrzenna, kt\u00f3rego podstaw\u0105 jest wielok\u0105t, a \u015bciany boczne s\u0105 r\u00f3wnoleg\u0142obokami. Obie podstawy graniastos\u0142upa s\u0105 do siebie r\u00f3wnoleg\u0142e. Je\u015bli w podstawie b\u0119dziemy mieli wielok\u0105t foremny, wtedy graniastos\u0142up nazywamy prawid\u0142owym. Aby zrobi\u0107 czytelny rysunek graniastos\u0142upa postawy rysujemy \u201cuko\u015bnie\u201d. Poni\u017cej przyk\u0142ady graniastos\u0142up\u00f3w: Graniastos\u0142up prosty\u00a0ma dwie takie same podstawy, kt\u00f3re s\u0105 r\u00f3wnoleg\u0142e. W jego podstawie mo\u017ce [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[6,14],"tags":[],"class_list":["post-1462","post","type-post","status-publish","format-standard","hentry","category-baza-wiedzy","category-klasa-vii"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v20.1 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Graniastos\u0142upy - Matma.com.pl<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"http:\/\/matma.com.pl\/?p=1462\" \/>\n<meta property=\"og:locale\" content=\"pl_PL\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Graniastos\u0142upy - Matma.com.pl\" \/>\n<meta property=\"og:description\" content=\"Graniastos\u0142up to bry\u0142a przestrzenna, kt\u00f3rego podstaw\u0105 jest wielok\u0105t, a \u015bciany boczne s\u0105 r\u00f3wnoleg\u0142obokami. Obie podstawy graniastos\u0142upa s\u0105 do siebie r\u00f3wnoleg\u0142e. Je\u015bli w podstawie b\u0119dziemy mieli wielok\u0105t foremny, wtedy graniastos\u0142up nazywamy prawid\u0142owym. Aby zrobi\u0107 czytelny rysunek graniastos\u0142upa postawy rysujemy \u201cuko\u015bnie\u201d. Poni\u017cej przyk\u0142ady graniastos\u0142up\u00f3w: Graniastos\u0142up prosty\u00a0ma dwie takie same podstawy, kt\u00f3re s\u0105 r\u00f3wnoleg\u0142e. 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