{"id":18735,"date":"2024-09-16T16:44:43","date_gmt":"2024-09-16T14:44:43","guid":{"rendered":"https:\/\/www.nns.cz\/blog\/?page_id=18735"},"modified":"2024-09-16T16:50:15","modified_gmt":"2024-09-16T14:50:15","slug":"zaklady-geometrie","status":"publish","type":"page","link":"https:\/\/www.nns.cz\/blog\/digitalni-kompetence\/zaklady-geometrie\/","title":{"rendered":"Z\u00e1klady geometrie"},"content":{"rendered":"

zp\u011bt na v\u00fdb\u011br titulu<\/a><\/h4>\n

Vyu\u017eili jste n\u011bkter\u00fd z n\u00e1m\u011bt\u016f ve v\u00fduce, m\u00e1te n\u00e1m\u011bty nebo p\u0159ipom\u00ednky? Kontaktujte n\u00e1s na digi@nns.cz<\/a>.<\/h3>\n

N\u00e1m\u011bty budou pr\u016fb\u011b\u017en\u011b aktualizov\u00e1ny a vylep\u0161ov\u00e1ny.<\/p>\n

Ke stran\u011b 6, 1.definice<\/h2>\n

V\u00a0aplikaci geogebra nebo v\u00a0aplikaci mathspad nakreslete p\u0159\u00edmku m<\/em>, kter\u00e1 je definov\u00e1na body C<\/em>, D<\/em>. Pot\u00e9 sestrojte p\u0159\u00edmku p<\/em>, kter\u00e1 je rovnob\u011b\u017en\u00e1 s\u00a0p\u0159\u00edmkou m<\/em>.<\/p>\n

https:\/\/www.geogebra.org\/geometry<\/a>
\nhttps:\/\/www.mathspad.co.uk\/i2\/construct.php<\/a><\/p>\n

Ke stran\u011b 6, 2.definice<\/h2>\n

V\u00a0aplikaci geogebra nebo v\u00a0aplikaci mathspad nakreslete p\u0159\u00edmku p<\/em>, kter\u00e1 je definov\u00e1na body A<\/em>, B<\/em>. Pot\u00e9 sestrojte p\u0159\u00edmku c<\/em>, kter\u00e1 je kolm\u00e1 k\u00a0p\u0159\u00edmce p<\/em>.<\/p>\n

https:\/\/www.geogebra.org\/geometry<\/a>
\nhttps:\/\/www.mathspad.co.uk\/i2\/construct.php<\/a><\/p>\n

Ke stran\u011b 14, p\u0159\u00edklad \u010d. 3<\/h2>\n

Nar\u00fdsujte a vy\u0159e\u0161te tuto \u00falohu (p\u0159. 3 v u\u010debnici) v\u00a0aplikaci geogebra nebo v\u00a0aplikaci mathspad.<\/p>\n

Doporu\u010den\u00e9 zdroje:
\nhttps:\/\/www.geogebra.org\/classic?lang=yi<\/a>
\nhttps:\/\/www.mathspad.co.uk\/i2\/construct.php<\/a><\/p>\n

Ke stran\u011b 14<\/h2>\n

S\u00a0pomoc\u00ed internetu vyhledejte stavbu, kter\u00e1 m\u00e1 kruhov\u00fd p\u016fdorys (tvar kruhu p\u0159i pohledu shora). Tuto stavbu vyhledejte na str\u00e1nk\u00e1ch https:\/\/www.google.cz\/intl\/cs\/earth\/<\/a>, zm\u011b\u0159te jej\u00ed pr\u016fm\u011br a pot\u00e9 polom\u011br n\u00e1strojem na m\u011b\u0159en\u00ed vzd\u00e1lenost\u00ed.<\/p>\n

Doporu\u010den\u00e9 zdroje:
\nhttps:\/\/www.google.cz\/intl\/cs\/earth\/<\/a>
\nhttps:\/\/earth.google.com\/web\/search\/%c4%8cist%c3%adrna+odpadn%c3%adch+vod,+Praha+6\/@50.1143718,14.39672808,174.34394238a,405.85112181d,35y,147.75431244h,0t,0r\/data=CigiJgokCbsogldPd0pAER-PMQsPckZAGSRb8fBr_TpAIbpPGPtOUxpA<\/a><\/p>\n

Ke stran\u011b 22, \u0159e\u0161en\u00fd \u00fakol 3<\/h2>\n

Vy\u0159e\u0161te tento \u00fakol v\u00a0aplikaci mathspad. Pomocn\u00e9 konstrukce r\u00fdsujte tenkou \u010darou.<\/p>\n

https:\/\/www.mathspad.co.uk\/i2\/construct.php<\/a><\/p>\n

Ke stran\u011b 29<\/h2>\n

S pomoc\u00ed internetu vyhledejte mapu \u010cesk\u00e9 republiky. P\u0159edstavte si, \u017ee Jihlava je pomysln\u00fd vrchol \u00fahlu a na\u0161e hlavn\u00ed m\u011bsto le\u017e\u00ed na jednom rameni tohoto \u00fahlu.<\/p>\n

a) Jmenujte jedno z\u00a0m\u011bst v\u00a0\u010cesk\u00e9 republice, kter\u00e9 by mohlo le\u017eet na druh\u00e9m rameni \u00fahlu tak, aby ramena sv\u00edrala ostr\u00fd \u00fahel (\u00fahel zvolte tak, aby byl v\u011bt\u0161\u00ed ne\u017e nulov\u00fd, ale men\u0161\u00ed ne\u017e prav\u00fd).
\nb) Jmenujte jedno z\u00a0m\u011bst v\u00a0\u010cesk\u00e9 republice, kter\u00e9 by mohlo le\u017eet na druh\u00e9m rameni \u00fahlu tak, aby ramena sv\u00edrala ostr\u00fd \u00fahel (\u00fahel zva\u017eujte tak, aby byl v\u011bt\u0161\u00ed ne\u017e prav\u00fd, ale men\u0161\u00ed ne\u017e p\u0159\u00edm\u00fd \u00fahel).<\/p>\n

Doporu\u010den\u00fd zdroj:
\nhttps:\/\/earth.google.com\/web\/search\/%C4%8Desk%C3%A1+republika<\/a><\/p>\n

Ke stran\u011b 34<\/h2>\n

Na internetu vyhledejte fotografii libovoln\u00e9 budovy nebo \u010d\u00e1sti budovy, na kter\u00e9 budete moci zn\u00e1zornit ostr\u00fd i tup\u00fd \u00fahel.<\/p>\n

Doporu\u010den\u00e9 zdroje:
\nhttps:\/\/www.blachotrapez.cz\/cs\/blog\/plechova-strecha-vydrzi-desitky-let-spravne-zvolena-predci-i-palene-tasky<\/a>
\nhttps:\/\/pixabay.com\/<\/a>
\nhttps:\/\/www.flickr.com\/<\/a><\/p>\n

Ke stran\u011b 35<\/h2>\n

S\u00a0pomoc\u00ed internetu zjist\u011bte, co je to azimut. Zjist\u011bte, jak\u00fd \u00fahel sv\u00edr\u00e1 graficky zn\u00e1zorn\u011bn\u00fd azimut, pokud byste cestovali z\u00a0Brna do Prahy. Pot\u00e9 zjist\u011bte, jak\u00fd \u00fahel sv\u00edr\u00e1 graficky zn\u00e1zorn\u011bn\u00fd azimut p\u0159i cest\u011b z\u00a0Prahy do Brna. Oba \u00fahly na\u010drtn\u011bte.<\/p>\n

Doporu\u010den\u00e9 zdroje:
\nhttps:\/\/cs.wikipedia.org\/wiki\/Azimut<\/a>
\nhttps:\/\/cs.distance.to\/Brno\/Praha<\/a><\/p>\n

Ke stran\u011b 35, cv. 7<\/h2>\n

\u00dalohu vy\u0159e\u0161te tak, \u017ee po\u017eadovan\u00e9 \u00fahly sestroj\u00edte v\u00a0aplikaci: https:\/\/www.mathspad.co.uk\/i2\/construct.php<\/a>.<\/p>\n

Ke stran\u011b 43, cv. 1<\/h2>\n

\u00dalohu vy\u0159e\u0161te tak, \u017ee po\u017eadovan\u00e9 \u00fahly sestroj\u00edte v\u00a0aplikaci: https:\/\/www.mathspad.co.uk\/i2\/construct.php<\/a>.<\/p>\n

Doporu\u010den\u00e9 zdroje:
\nhttps:\/\/www.mathspad.co.uk\/i2\/construct.php<\/a><\/p>\n

Ke stran\u011b 43, cv. 1<\/h2>\n

Podle internetov\u00e9 aplikace https:\/\/www.geogebra.org\/m\/ypg3edkh#material\/h9fpaere<\/a> sestrojte osu \u00fahlu.<\/p>\n

Ke stran\u011b 47, p\u0159\u00edklad 3<\/h2>\n

S\u00a0pomoc\u00ed aplikace Photomath v\u00a0mobiln\u00edm telefonu si p\u0159ekontrolujte v\u00fdsledky p\u0159\u00edklad\u016f.<\/p>\n

Doporu\u010den\u00e9 zdroje:
\nhttps:\/\/photomath.com\/<\/a><\/p>\n

Ke stran\u011b 59<\/h2>\n

S\u00a0pomoc\u00ed internetu zjist\u011bte, kter\u00e1 oblast se \u010dasto ozna\u010duje jako Bermudsk\u00fd troj\u00faheln\u00edk. Kter\u00e9 3 body tvo\u0159\u00ed pomysln\u00e9 vrcholy tohoto troj\u00faheln\u00edku? Kolik kilometr\u016f \u010din\u00ed obvod tohoto pomysln\u00e9ho troj\u00faheln\u00edku? K\u00a0v\u00fdpo\u010dt\u016fm pou\u017eijte kalkula\u010dku nebo po\u010d\u00edta\u010d.<\/p>\n

Doporu\u010den\u00e9 zdroje:
\nhttps:\/\/cs.wikipedia.org\/wiki\/Bermudsk%C3%BD_troj%C3%BAheln%C3%ADk<\/a>
\nhttps:\/\/www.google.com\/maps<\/a><\/p>\n

\"\"<\/p>\n

Ke stran\u011b 59<\/h2>\n
    \n
  1. S\u00a0pomoc\u00ed internetu zjist\u011bte, kolik stup\u0148\u016f ve skute\u010dnosti p\u0159edstavuje hodnota 12% na dopravn\u00ed zna\u010dce nebezpe\u010dn\u00e9 stoup\u00e1n\u00ed.<\/li>\n
  2. Nar\u00fdsujte pravo\u00fahl\u00fd troj\u00faheln\u00edk v\u00a0m\u011b\u0159\u00edtku 1:1 000, ve kter\u00e9m schematicky zn\u00e1zorn\u00edte tento \u00fahel. \u00dahel stoup\u00e1n\u00ed vyzna\u010dte a zm\u011b\u0159te pomoc\u00ed \u00fahlom\u011bru. Nam\u011b\u0159enou hodnotu porovnejte s\u00a0hodnotou, kterou jste vyhledali na internetu.<\/li>\n<\/ol>\n

    Doporu\u010den\u00fd zdroj:
    \n    https:\/\/www.matweb.cz\/prepocet-stoupani\/<\/a><\/p>\n

    Ke stran\u011b 68, \u0159e\u0161en\u00fd \u00fakol \u010d. 4<\/h2>\n

    V aplikaci geogebra nakreslete libovoln\u00fd obd\u00e9ln\u00edk, pomoc\u00ed n\u00e1stroje na m\u011b\u0159en\u00ed zm\u011b\u0159te jeho strany a\u00a0vypo\u010d\u00edtejte obsah tohoto obd\u00e9ln\u00edku.<\/p>\n

    https:\/\/www.geogebra.org\/geometry<\/a><\/p>\n

    Ke stran\u011b 68, cv. 4<\/h2>\n

    S\u00a0pomoc\u00ed internetu vyhledejte vnit\u0159n\u00ed rozm\u011bry fotbalov\u00e9 branky a vypo\u010d\u00edtejte, jak velkou plochu mus\u00ed vykr\u00fdt brank\u00e1\u0159, aby nedostal g\u00f3l.<\/p>\n

    Doporu\u010den\u00fd zdroj:
    \n    https:\/\/www.sporteo.cz\/micove-sporty\/rozmery-fotbalove-branky\/<\/a><\/p>\n

    Ke stran\u011b 71<\/h2>\n

    V\u00a0aplikaci Malov\u00e1n\u00ed 3D nakreslete krychli a kv\u00e1dr a s\u00a0pomoc\u00ed n\u00e1stroj\u016f na pooto\u010den\u00ed si je prohl\u00e9dn\u011bte ze v\u0161ech stran. Ur\u010dete, kde maj\u00ed dan\u00e1 t\u011blesa vrcholy, hrany a st\u011bny.<\/p>\n

    Doporu\u010den\u00fd zdroj:
    \nMalov\u00e1n\u00ed 3D<\/p>\n

    \u00daloha ke stran\u011b 72<\/h2>\n

    V\u00a0aplikaci Malov\u00e1n\u00ed 3D nakreslete trojbok\u00fd a \u010dty\u0159bok\u00fd jehlan, s\u00a0pomoc\u00ed n\u00e1stroj\u016f na pooto\u010den\u00ed si je prohl\u00e9dn\u011bte ze v\u0161ech stran a ur\u010dete, kde maj\u00ed dan\u00e1 t\u011blesa podstavu, hlavn\u00ed vrchol a bo\u010dn\u00ed st\u011bny.<\/p>\n

    Doporu\u010den\u00fd zdroj:
    \nMalov\u00e1n\u00ed 3D<\/p>\n

    Ke stran\u011b 73<\/h2>\n

    V\u00a0aplikaci Malov\u00e1n\u00ed 3D nakreslete v\u00e1lec a ku\u017eel a s\u00a0pomoc\u00ed n\u00e1stroj\u016f na pooto\u010den\u00ed si je prohl\u00e9dn\u011bte ze v\u0161ech stran. Ur\u010dete, kde maj\u00ed dan\u00e1 t\u011blesa pl\u00e1\u0161\u0165.<\/p>\n

    Doporu\u010den\u00fd zdroj:
    \nMalov\u00e1n\u00ed 3D<\/p>\n

    Ke stran\u011b 74, cv. 2<\/h2>\n

    S\u00a0pomoc\u00ed internetu vyhledejte stavby nebo \u010d\u00e1sti staveb, kter\u00e9 maj\u00ed tvar jehlanu, hranolu, ku\u017eele, v\u00e1lce a koule a prohl\u00e9dn\u011bte si je ze v\u0161ech stran, zejm\u00e9na p\u0159i pohledu shora.<\/p>\n

    Doporu\u010den\u00e9 zdroje:
    \n    https:\/\/www.google.cz\/intl\/cs\/earth\/<\/a>
    \n    https:\/\/pixabay.com\/<\/a>
    \n    https:\/\/www.flickr.com\/<\/a><\/p>\n

    \u00daloha ke stran\u011b 74, p\u0159. 2<\/h2>\n

    V\u00a0aplikaci malov\u00e1n\u00ed 3D nakreslete v\u0161echny uveden\u00e9 tvary a s\u00a0pomoc\u00ed n\u00e1stroj\u016f na pooto\u010den\u00ed si je prohl\u00e9dn\u011bte ze v\u0161ech stran. Ur\u010dete, kde m\u00e1 dan\u00e9 t\u011bleso podstavu.<\/p>\n

    Doporu\u010den\u00fd zdroj:
    \nMalov\u00e1n\u00ed 3D<\/p>\n

    zp\u011bt na v\u00fdb\u011br titulu<\/a><\/h4>\n","protected":false},"excerpt":{"rendered":"

    zp\u011bt na v\u00fdb\u011br titulu Vyu\u017eili jste n\u011bkter\u00fd z n\u00e1m\u011bt\u016f ve v\u00fduce, m\u00e1te n\u00e1m\u011bty nebo p\u0159ipom\u00ednky? Kontaktujte n\u00e1s na digi@nns.cz. N\u00e1m\u011bty budou pr\u016fb\u011b\u017en\u011b aktualizov\u00e1ny a vylep\u0161ov\u00e1ny. Ke stran\u011b 6, 1.definice V\u00a0aplikaci geogebra nebo v\u00a0aplikaci mathspad nakreslete p\u0159\u00edmku m, kter\u00e1 je definov\u00e1na body C, D. Pot\u00e9 sestrojte p\u0159\u00edmku p, kter\u00e1 je rovnob\u011b\u017en\u00e1 s\u00a0p\u0159\u00edmkou m. https:\/\/www.geogebra.org\/geometry https:\/\/www.mathspad.co.uk\/i2\/construct.php Ke stran\u011b 6, […]<\/p>\n","protected":false},"author":12,"featured_media":0,"parent":15791,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-18735","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.nns.cz\/blog\/wp-json\/wp\/v2\/pages\/18735","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.nns.cz\/blog\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.nns.cz\/blog\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.nns.cz\/blog\/wp-json\/wp\/v2\/users\/12"}],"replies":[{"embeddable":true,"href":"https:\/\/www.nns.cz\/blog\/wp-json\/wp\/v2\/comments?post=18735"}],"version-history":[{"count":8,"href":"https:\/\/www.nns.cz\/blog\/wp-json\/wp\/v2\/pages\/18735\/revisions"}],"predecessor-version":[{"id":18744,"href":"https:\/\/www.nns.cz\/blog\/wp-json\/wp\/v2\/pages\/18735\/revisions\/18744"}],"up":[{"embeddable":true,"href":"https:\/\/www.nns.cz\/blog\/wp-json\/wp\/v2\/pages\/15791"}],"wp:attachment":[{"href":"https:\/\/www.nns.cz\/blog\/wp-json\/wp\/v2\/media?parent=18735"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}