Geogebra<\/strong> je m\u016fj nejobl\u00edben\u011bj\u0161\u00ed v\u00fdukov\u00fd n\u00e1stroj, kter\u00fd m\u00e1 dnes velk\u00e9 vyu\u017eit\u00ed nap\u0159\u00ed\u010d t\u00e9maty. J\u00e1 kladu na grafick\u00e9 \u0159e\u0161en\u00ed rovnic velk\u00fd d\u016fraz kv\u016fli modelov\u00e1n\u00ed r\u016fzn\u00fdch situac\u00ed d\u00edky pr\u00e1ci s parametry. Nav\u00edc u iracion\u00e1ln\u00edch rovnic lze uk\u00e1zat dopad d\u016fsledkov\u00fdch \u00faprav.<\/p>\n\n\n\n \u221a(x + 3) = x + 2<\/strong><\/p>\n\n\n\n Prvn\u00ed mo\u017enost – pr\u016fse\u010d\u00edk graf\u016f dvou funkc\u00ed (sou\u0159adnice X)<\/em><\/p>\n\n\n\n y= \u221a(x + 3)<\/p>\n\n\n\n y = x + 2<\/p>\n\n\n\n Druh\u00e1 mo\u017enost – pr\u016fse\u010d\u00edk graf\u016f dvou funkc\u00ed (sou\u0159adnice X)<\/em><\/p>\n\n\n\n y= \u221a(x + 3) – x – 2<\/p>\n\n\n\n y = 0<\/p>\n\n\n\n Ob\u011b mo\u017enosti v jednom proveden\u00ed. D\u00edky krokov\u00e1n\u00ed mohu nato\u010dit video nebo sd\u00edlet obrazovku v online v\u00fdkladu. Pokud u\u010d\u00edte matematiku, v obr\u00e1zku se ur\u010dit\u011b vyzn\u00e1te.<\/p>\n\n\n\n Grafick\u00e9 \u0159e\u0161en\u00ed v Geogeb\u0159e<\/em><\/p>\n\n\n\n Dal\u0161\u00ed v\u00fdborn\u00fd n\u00e1stroj je z d\u00edlny Microsoftu. Aplikace Math Solver<\/strong> je opravdu skv\u011bl\u00e1. V iPadu se jedn\u00e1 o rozhran\u00ed, kter\u00e9 umo\u017e\u0148uje z\u00e1pis z kl\u00e1vesnice, nebo ru\u010dn\u011b. \u00dalohu m\u016f\u017eete rovn\u011b\u017e vyfotit. V\u00fdstup je v podob\u011b v\u00fdsledku rovnice i v grafick\u00e9m \u0159e\u0161en\u00ed.<\/p>\n\n\n\n Math Solver – ru\u010dn\u00ed psan\u00ed a textov\u00fd n\u00e1hled<\/em><\/p>\n\n\n\n Math Solver – po\u010detn\u00ed a grafick\u00e9 \u0159e\u0161en\u00ed<\/em><\/p>\n\n\n\n T\u0159et\u00ed v \u0159ad\u011b je mezi \u017e\u00e1ky obl\u00edben\u00e1 aplikace Photomath<\/strong>, kter\u00e1 se pou\u017e\u00edv\u00e1 k v\u00fdpo\u010dtu rovnic pomoc\u00ed mobiln\u00edho telefonu nebo tabletu. U\u017eivatel\u00e9 v\u011bt\u0161inou sleduj\u00ed jen v\u00fdsledek, co\u017e je \u0161koda. Jej\u00ed p\u0159ednost je toti\u017e v nab\u00edzen\u00e9m postupu \u0159e\u0161en\u00ed v\u010detn\u011b koment\u00e1\u0159\u016f. Stalo se mi n\u011bkolikr\u00e1t, \u017ee si \u017e\u00e1ci porovn\u00e1vali m\u00e9 vysv\u011btlen\u00ed s postupem v aplikaci a cht\u011bli vysv\u011btlit rozd\u00edln\u00fd p\u0159\u00edstup. Pro samostudium \u0161ikovn\u00e1 pom\u016fcka. Samoz\u0159ejm\u011b snadno zneu\u017eiteln\u00e1, ale to bych te\u010f ne\u0159e\u0161il. <\/p>\n\n\n\n Photomath a postup \u0159e\u0161en\u00ed<\/em><\/p>\n\n\n\n Photomath – v\u00fdsledek a grafick\u00e9 \u0159e\u0161en\u00ed<\/em><\/p>\n\n\n\n Autor: Petr Chlebek <\/strong><\/p>\n","protected":false},"excerpt":{"rendered":" Iracion\u00e1ln\u00ed rovnice pat\u0159\u00ed k t\u00e9mat\u016fm, kter\u00e1 jsou pro \u017e\u00e1ky n\u00e1ro\u010dn\u011bj\u0161\u00ed. Je to d\u00e1no celkovou strukturou \u00faloh, i kdy\u017e se postup dr\u017e\u00ed podobn\u00fdch krok\u016f, zejm\u00e9na d\u00edky d\u016fsledkov\u00fdm \u00faprav\u00e1m se nemus\u00ed zada\u0159it. A te\u010f bychom m\u011bli t\u00e9ma vykl\u00e1dat distan\u010dn\u011b. Zvl\u00e1dneme to? Pokud um\u00edme zvolit rozumn\u00e9 programy, zcela jist\u011b ano. Nab\u00edz\u00ed se vyu\u017eit\u00ed nej\u010dast\u011bj\u0161\u00edch za\u0159\u00edzen\u00ed v rukou \u017e\u00e1k\u016f…<\/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":[108,37,15,34,76,75],"class_list":["post-383","post","type-post","status-publish","format-standard","hentry","category-sekce-ict","category-sekce-matematiky-a-informatiky","tag-digitalni-kompetence-2","tag-geogebra","tag-ict","tag-matematika","tag-math-solver","tag-photomath"],"_links":{"self":[{"href":"https:\/\/ucitel.kvcso.cz\/index.php?rest_route=\/wp\/v2\/posts\/383","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=383"}],"version-history":[{"count":5,"href":"https:\/\/ucitel.kvcso.cz\/index.php?rest_route=\/wp\/v2\/posts\/383\/revisions"}],"predecessor-version":[{"id":425,"href":"https:\/\/ucitel.kvcso.cz\/index.php?rest_route=\/wp\/v2\/posts\/383\/revisions\/425"}],"wp:attachment":[{"href":"https:\/\/ucitel.kvcso.cz\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=383"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ucitel.kvcso.cz\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=383"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ucitel.kvcso.cz\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=383"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}![\"iracion\u00e1ln\u00ed](\"https:\/\/public.kvcso.cz\/wp-content\/uploads\/2020\/05\/irac_rov_2.jpg\")
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