{"id":6407,"date":"2024-01-11T11:20:35","date_gmt":"2024-01-11T10:20:35","guid":{"rendered":"https:\/\/nova.otroci.org\/?p=6407"},"modified":"2024-01-16T11:16:49","modified_gmt":"2024-01-16T10:16:49","slug":"matematika-algebra","status":"publish","type":"post","link":"https:\/\/nova.otroci.org\/index.php\/2024\/01\/11\/matematika-algebra\/","title":{"rendered":"Algebra"},"content":{"rendered":"\n
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\u0160E VE\u010c OSTALIH u\u010dnih listov, skupaj z re\u0161itvami, ki jih na spletni strani ne boste na\u0161li, dobite v na\u0161i spletni trgovini na naslovu : https:\/\/trgovina.otroci.org<\/a> (kliknite na povezavo) .<\/em><\/strong><\/p>\n\n\n\n

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Algebra je veja matematike, ki se ukvarja z matemati\u010dnimi ena\u010dbami in njihovimi lastnostmi. Vklju\u010duje operacije, kot so se\u0161tevanje, od\u0161tevanje, mno\u017eenje in deljenje, kot tudi manipulacijo z znaki in uporabo \u010drk, tako imenovanih spremenljivk, ki predstavljajo \u0161tevila. Algebra se uporablja za re\u0161evanje ena\u010db in za analizo in razumevanje odnosov med spremenljivkami. Nekatere pogoste teme v algebri so re\u0161evanje linearnih ena\u010db, risanje linearnih ena\u010db in delo s polinomi.<\/p>\n\n\n\n

Linearne ena\u010dbe so ena\u010dbe, v katerih spremenljivke nastopajo z enona\u010dinskim koeficientom. Linearne ena\u010dbe se lahko re\u0161ujejo na ve\u010d na\u010dinov, enega od na\u010dinov je gaussova eliminacija (gauss-jordan), ki temelji na premikanju \u010dlenov ena\u010dbe iz ene vrstice v drugo in na razli\u010dne operacije, ki jih izvajamo na vrsticah. Drugi na\u010din je substitucijska metoda (zamenjevalni na\u010din), ki temelji na ena\u010dbo, ki jo \u017eelimo re\u0161iti in na ena\u010dbo iz drugega sistema ena\u010db.<\/p>\n\n\n\n

Ena\u010dbo 2x + 3y = 6, na primer, lahko re\u0161imo tako, da jo raz\u0161irimo na 2x = -3y + 6 in nato x = -3\/2 y + 3.<\/p>\n\n\n\n

Drugi na\u010din za re\u0161evanje linearnih ena\u010db je grafi\u010dni na\u010din, ki temelji na risanju ena\u010dbe v koordinatnem sistemu in najti to\u010dko prese\u010di\u0161\u010da (koordinat x,y) ki bo re\u0161itev ena\u010dbe.<\/p>\n\n\n\n

Polinomi so matemati\u010dni izrazi, sestavljeni iz spremenljivk in \u0161tevil, ki so kombinirani z operacijami se\u0161tevanja in mno\u017eenja. Polinomi se lahko dolo\u010dijo z stopnjo, ki je najvi\u0161ji potencial spremenljivke.<\/p>\n\n\n\n

Delo s polinomi vklju\u010duje razli\u010dne operacije, kot so:
se\u0161tevanje in od\u0161tevanje polinomov (npr. (x^2 + 3x + 2) + (x^2 \u2013 x \u2013 6) = 2x^2 + 2x \u2013 4)
mno\u017eenje polinomov (npr. (x \u2013 3)(x + 2) = x^2 \u2013 x \u2013 6)
deljenje polinomov s polinomi (npr. (x^3 + 2x^2 \u2013 x \u2013 2) : (x + 1) = x^2 \u2013 x \u2013 2 + 2x^-1 \u2013 2x^-2)
faktorizacija polinomov (npr. x^2 + x \u2013 6 = (x + 3)(x \u2013 2))
iskanje ni\u010del polinoma (npr. x^2 + x \u2013 6 = 0 ima ni\u010dli x = -3, x = 2)<\/p>\n\n\n\n

Delo z polinomi se uporablja pri re\u0161evanju razli\u010dnih matemati\u010dnih problemov, kot so npr. krivulje, nihanja, konstrukcija in analiza funkcij.<\/p>\n\n\n\n

Ena\u010dbe ena spremenljivka<\/h2>\n\n\n\n
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Naloga 1<\/a><\/p>\n<\/div>\n\n\n\n

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Naloga 2<\/a><\/p>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n

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Naloga 3<\/a><\/p>\n<\/div>\n\n\n\n

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Naloga 4<\/a><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n

Ena\u010dbe dve spremenljivki<\/h2>\n\n\n\n
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Naloga 1<\/a><\/p>\n<\/div>\n\n\n\n

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Naloga 2<\/a><\/p>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n

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Naloga 3<\/a><\/p>\n<\/div>\n\n\n\n

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Naloga 4<\/a><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n

Ena\u010dbe defenirana spremenljivka<\/h2>\n\n\n\n
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<\/a>Naloga 1<\/a><\/p>\n<\/div>\n\n\n\n

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Naloga 2<\/a><\/p>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n

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Naloga 3<\/a><\/p>\n<\/div>\n\n\n\n

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Naloga 4<\/a><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n

Poenostavitev izrazov<\/h2>\n\n\n\n
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Naloga 1<\/a><\/p>\n<\/div>\n\n\n\n

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Naloga 2<\/a> <\/p>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n

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Naloga 3<\/a><\/p>\n<\/div>\n\n\n\n

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Naloga 4<\/a><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n

Predalgebrske ena\u010dbe<\/h2>\n\n\n\n
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Naloga 1<\/a><\/p>\n<\/div>\n\n\n\n

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Naloga 2<\/a><\/p>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n

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Naloga 3<\/a> <\/p>\n<\/div>\n\n\n\n

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Naloga 4<\/a><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n

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\u0160E VE\u010c OSTALIH u\u010dnih listov, skupaj z re\u0161itvami, ki jih na spletni strani ne boste na\u0161li, dobite v na\u0161i spletni trgovini na naslovu : https:\/\/trgovina.otroci.org<\/a> (kliknite na povezavo) .<\/em><\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"

\u0160E VE\u010c OSTALIH u\u010dnih listov, skupaj z re\u0161itvami, ki jih na spletni strani ne boste na\u0161li, dobite v na\u0161i spletni<\/p>\n","protected":false},"author":1,"featured_media":6560,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"ngg_post_thumbnail":0,"footnotes":""},"categories":[49],"tags":[],"class_list":["post-6407","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-matematika"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/nova.otroci.org\/index.php\/wp-json\/wp\/v2\/posts\/6407","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/nova.otroci.org\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/nova.otroci.org\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/nova.otroci.org\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/nova.otroci.org\/index.php\/wp-json\/wp\/v2\/comments?post=6407"}],"version-history":[{"count":0,"href":"https:\/\/nova.otroci.org\/index.php\/wp-json\/wp\/v2\/posts\/6407\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/nova.otroci.org\/index.php\/wp-json\/wp\/v2\/media\/6560"}],"wp:attachment":[{"href":"https:\/\/nova.otroci.org\/index.php\/wp-json\/wp\/v2\/media?parent=6407"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/nova.otroci.org\/index.php\/wp-json\/wp\/v2\/categories?post=6407"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/nova.otroci.org\/index.php\/wp-json\/wp\/v2\/tags?post=6407"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}