{"id":908,"date":"2024-03-31T17:51:00","date_gmt":"2024-03-31T15:51:00","guid":{"rendered":"http:\/\/ucitel.kvcso.cz\/?p=908"},"modified":"2024-04-15T07:25:25","modified_gmt":"2024-04-15T05:25:25","slug":"zobrazeni-v-geogebre","status":"publish","type":"post","link":"https:\/\/ucitel.kvcso.cz\/?p=908","title":{"rendered":"Zobrazen\u00ed v Geogeb\u0159e"},"content":{"rendered":"\n<p>O tom, \u017ee Geogebra je dnes nejlep\u0161\u00edm a nej\u00fasp\u011b\u0161n\u011bj\u0161\u00edm prost\u0159ed\u00edm pro podporu matematiky, asi nem\u00e1 smysl polemizovat. Jej\u00ed p\u0159esah nad r\u00e1mec geometrie je tak obs\u00e1hl\u00fd, \u017ee za\u010d\u00edn\u00e1 m\u00edt univerz\u00e1ln\u00ed charakter. Ale to neznamen\u00e1, \u017ee bychom planimetrii a stereometrii opom\u00edjeli. Na rozd\u00edl od mnoha jin\u00fdch aplikac\u00ed, kter\u00e9 umo\u017e\u0148uj\u00ed r\u016fzn\u00e9 formy testov\u00e1n\u00ed, je Geogebra p\u0159edev\u0161\u00ed tv\u016fr\u010d\u00ed platformou s velkou p\u0159\u00edstupnost\u00ed.<\/p>\n\n\n\n<p>Po\u010d\u00edta\u010d, tablet nebo mobil? Je to \u00fapln\u011b jedno a j\u00e1 v\u0161echny t\u0159i za\u0159\u00edzen\u00ed vyu\u017e\u00edv\u00e1m maxim\u00e1ln\u011b mo\u017en\u011b b\u011bhem v\u00fduky i p\u0159i p\u0159\u00edprav\u011b \u00faloh. M\u016fj c\u00edl je jasn\u00fd, nechci \u017e\u00e1k\u016fm p\u0159edkl\u00e1dat hodov\u00e9 produkty, ale u\u010d\u00edm je tvo\u0159it. Ob\u010das mus\u00edm n\u011bjakou \u00falohu zpracovat jako modelovou a tu p\u0159ekl\u00e1p\u00edm do videa. Tady ukazuji t\u0159i.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Shodn\u00e9 zobrazen\u00ed &#8211; ot\u00e1\u010den\u00ed<\/h3>\n\n\n\n<p>N\u00e1dhern\u00e1 \u00faloha, kter\u00e1 pat\u0159\u00ed mezi obt\u00ed\u017en\u011bj\u0161\u00ed. Z\u00e1rove\u0148 ale vytv\u00e1\u0159\u00ed n\u00e1vrh, jak k podobn\u00fdm p\u0159\u00edklad\u016fm p\u0159istupovat.<\/p>\n\n\n\n<p><em>Jsou d\u00e1ny t\u0159i soust\u0159edn\u00e9 kru\u017enice s polom\u011bry r<sub>1<\/sub> &lt; r<sub>2<\/sub> &lt; r<sub>3<\/sub>. Sestrojte rovnostrann\u00fd troj\u00faheln\u00edk ABC tak, aby ka\u017ed\u00fd z jeho vrchol\u016f byl um\u00edst\u011bn v\u017edy na jedn\u00e9 kru\u017enici.<\/em><\/p>\n\n\n\n<figure class=\"wp-block-embed-youtube wp-block-embed is-type-video is-provider-youtube wp-embed-aspect-4-3 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"Shodn\u00e9 zobrazen\u00ed - ot\u00e1\u010den\u00ed\" width=\"644\" height=\"483\" src=\"https:\/\/www.youtube.com\/embed\/3yDLeWAbY-k?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\">Podobn\u00e9 zobrazen\u00ed &#8211; stejnolehlost<\/h3>\n\n\n\n<p>Geometrick\u00e1 \u00faloha vyu\u017e\u00edv\u00e1 podobnost kru\u017enic. Vz\u00e1jemn\u00e1 poloha dvou kru\u017enic s r\u016fzn\u00fdm polom\u011brem je z hlediska stejnolehlosti nesm\u00edrn\u011b vd\u011b\u010dn\u00e1.<\/p>\n\n\n\n<p><em>Jsou d\u00e1ny dv\u011b r\u016fznob\u011b\u017eky p, q a kru\u017enice k<sub>1<\/sub>, kter\u00e1 se nedot\u00fdk\u00e1 \u017e\u00e1dn\u00e9 z obou r\u016fznob\u011b\u017eek. Sestrojte kru\u017enici k tak, aby se dot\u00fdkala p\u0159\u00edmek p, q a kru\u017enice k<sub>1<\/sub>.<\/em><\/p>\n\n\n\n<figure class=\"wp-block-embed-youtube wp-block-embed is-type-video is-provider-youtube wp-embed-aspect-4-3 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"Stejnolehlost u kru\u017enic\" width=\"644\" height=\"483\" src=\"https:\/\/www.youtube.com\/embed\/bH2aNB-Hs3U?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<p><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Vyu\u017eit\u00ed v\u00edce zobrazen\u00ed<\/h3>\n\n\n\n<p>\u00daloha kombinuje stejnolehlost a st\u0159edovou soum\u011brnost. A aby to nebylo m\u00e1lo, je\u0161t\u011b je t\u0159eba zn\u00e1t vlastnosti troj\u00faheln\u00edku a rovnob\u011b\u017en\u00edku.&nbsp;<\/p>\n\n\n\n<p><em>Je d\u00e1n troj\u00faheln\u00edk CKL a bod T, kter\u00fd le\u017e\u00ed v jeho vnit\u0159n\u00ed oblasti. Sestrojte troj\u00faheln\u00edk ABC s t\u011b\u017ei\u0161t\u011bm T tak, aby bod A le\u017eel na stran\u011b CK a bod B na stran\u011b LC.<\/em><\/p>\n\n\n\n<figure class=\"wp-block-embed-youtube wp-block-embed is-type-video is-provider-youtube wp-embed-aspect-4-3 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"Konstrukce troj\u00faheln\u00edku s vyu\u017eit\u00edm zobrazen\u00ed\" width=\"644\" height=\"483\" src=\"https:\/\/www.youtube.com\/embed\/xWddOIKGl1E?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<p><strong>Autor: Petr Chlebek<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>O tom, \u017ee Geogebra je dnes nejlep\u0161\u00edm a nej\u00fasp\u011b\u0161n\u011bj\u0161\u00edm prost\u0159ed\u00edm pro podporu matematiky, asi nem\u00e1 smysl polemizovat. Jej\u00ed p\u0159esah nad r\u00e1mec geometrie je tak obs\u00e1hl\u00fd, \u017ee za\u010d\u00edn\u00e1 m\u00edt univerz\u00e1ln\u00ed charakter. Ale to neznamen\u00e1, \u017ee bychom planimetrii a stereometrii opom\u00edjeli. Na rozd\u00edl od mnoha jin\u00fdch aplikac\u00ed, kter\u00e9 umo\u017e\u0148uj\u00ed r\u016fzn\u00e9 formy testov\u00e1n\u00ed, je Geogebra p\u0159edev\u0161\u00ed tv\u016fr\u010d\u00ed platformou&#8230;<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[18,7],"tags":[37,113,34,86,120],"class_list":["post-908","post","type-post","status-publish","format-standard","hentry","category-sekce-ict","category-sekce-matematiky-a-informatiky","tag-geogebra","tag-geometrie","tag-matematika","tag-video","tag-zobrazeni"],"_links":{"self":[{"href":"https:\/\/ucitel.kvcso.cz\/index.php?rest_route=\/wp\/v2\/posts\/908","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ucitel.kvcso.cz\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ucitel.kvcso.cz\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ucitel.kvcso.cz\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/ucitel.kvcso.cz\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=908"}],"version-history":[{"count":11,"href":"https:\/\/ucitel.kvcso.cz\/index.php?rest_route=\/wp\/v2\/posts\/908\/revisions"}],"predecessor-version":[{"id":930,"href":"https:\/\/ucitel.kvcso.cz\/index.php?rest_route=\/wp\/v2\/posts\/908\/revisions\/930"}],"wp:attachment":[{"href":"https:\/\/ucitel.kvcso.cz\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=908"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ucitel.kvcso.cz\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=908"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ucitel.kvcso.cz\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=908"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}