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+% do-vimlatex-onwrite
+\documentclass[]{article}
+\usepackage[utf8]{inputenc}
+\usepackage{siunitx}
+\usepackage[slovene]{babel}
+\usepackage[inline]{enumitem}
+\usepackage[a4paper, total={7in, 10in}]{geometry}
+\usepackage{hologo}
+\usepackage[hidelinks,unicode]{hyperref}
+\usepackage{datetime}
+\usepackage{tkz-euclide}
+\usepackage{amssymb}
+\usepackage{multicol}
+\usepackage{listings}
+\usepackage{xcolor}
+% \sisetup{output-decimal-marker = {,}, quotient-mode=fraction, per-mode=fraction} % frac način
+% \sisetup{output-decimal-marker = {,}, quotient-mode=fraction, per-mode=symbol} % poševnica način
+\sisetup{output-decimal-marker = {,}, quotient-mode=fraction} % na -1 način
+\settimeformat{hhmmsstime}
+\newcommand{\razhroscevanje}{0}
+\newcommand{\razhroscevanjeg}{0} % grafično razhroščevanje
+\makeatletter
+\newcommand{\xslalph}[1]{\expandafter\@xslalph\csname c@#1\endcsname}
+\newcommand{\@xslalph}[1]{%
+ \ifcase#1\or a\or b\or c\or \v{c}\or d\or e\or f\or g\or h\or i%
+ \or j\or k\or l\or m\or n\or o\or p\or r\or s\or \v{s}%
+ \or t\or u\or v\or z\or \v{z}
+ \else\@ctrerr\fi%
+}
+\AddEnumerateCounter{\xslalph}{\@xslalph}{m}
+\makeatother
+\definecolor{codegreen}{rgb}{0,0.6,0}
+\definecolor{codegray}{rgb}{0.5,0.5,0.5}
+\definecolor{codepurple}{rgb}{0.58,0,0.82}
+\definecolor{backcolour}{rgb}{0.95,0.95,0.92}
+\lstdefinestyle{mystyle}{
+ backgroundcolor=\color{backcolour},
+ commentstyle=\color{codegreen},
+ keywordstyle=\color{magenta},
+ numberstyle=\tiny\color{codegray},
+ stringstyle=\color{codepurple},
+ basicstyle=\ttfamily\footnotesize,
+ breakatwhitespace=false,
+ breaklines=true,
+ captionpos=b,
+ keepspaces=true,
+ numbers=left,
+ numbersep=5pt,
+ showspaces=false,
+ showstringspaces=false,
+ showtabs=false,
+ tabsize=2
+}
+\lstset{style=mystyle}
+\newcommand{\cm}[1]{
+ \SI[parse-numbers=false]{#1}{\centi\meter}
+}
+\newcommand{\m}[1]{
+ \SI[parse-numbers=false]{#1}{\meter}
+}
+\newcommand{\kvm}[1]{
+ \SI[parse-numbers=false]{#1}{\meter\squared}
+}
+\newcommand{\kvcm}[1]{
+ \SI[parse-numbers=false]{#1}{\centi\meter\squared}
+}
+\newcommand{\herod}{
+ \text{herod}
+}
+\title{Domača naloga}
+\author{Anton Luka Šijanec, 3. a}
+\begin{document}
+\maketitle
+\begin{abstract}
+Rešitev domače naloge, naročene 20. januarja 2022. Navodilo: \textbf{Mat3:} 43 / 3, 4, 9, 10. Ker na 43. strani sploh ni nalog 9 in 10, predvidevam, da je imel profesor v mislih naloge s strani 59.
+\end{abstract}
+% \tableofcontents
+\section{Naloge in rešitve}
+\begin{enumerate}[label=\textbf{\arabic*.}]
+ \setcounter{enumi}{2}
+ \item Marko je na dvorišču narisal trikotnik, katerega stranice so bile dolge \m{5}, \m{8} in \cm{12}, Tadeja pa je narisala trikotnik, katerega stranice so bile dolge \m{5}, \m{8} in \cm{9}. Kateri trikotnik je imel večjo ploščino? Za koliko?
+ $$
+ s = \frac{a+b+c}{2} \wedge s_M = \m{12,5} \wedge s_T = \m{11} \Rightarrow
+ S = \sqrt{s(s-a)(s-b)(s-c)} \wedge S_M = \kvm{210,9375} \wedge S_T = \kvm{396}
+ $$
+ Tadejin je večji za \kvm{185,0625}.
+ \item Stranici romboida sta dolgi \cm{52} in \cm{32}, diagonala pa \cm{44}. Kolikšna je njegova ploščina?
+ $$
+ s = \frac{\cm{52}+\cm{32}+\cm{44}}{2} \wedge
+ S=2\sqrt{s(s-\cm{52})(s-\cm{32})(s-\cm{44})}=\kvcm{1402,16974721}
+ $$
+ \setcounter{enumi}{8}
+ \item Stranice trikotnika so dolge \cm{5}, \cm{6} in \cm{7}. Koliko so veliki notranji koti tega trikotnika? Kolikšen je polmer trikotniku očrtane krožnice? Kolikšna je ploščina trikotnika?
+ $$
+ \gamma=\arccos\left(\frac{a^2+b^2-c^2}{2ab}\right)=\ang{78,463} \wedge
+ \alpha=\ang{57,122} \wedge \beta=\ang{44,415}
+ $$$$
+ R=\frac{c}{\sin\gamma}=2R
+ \wedge R=\frac{\frac{\cm{7}}{\sin\ang{78,463}}}{2}=\cm{3,572}
+ $$$$
+ S=\herod(\cm{5}, \cm{6}, \cm{7})=\kvcm{14,6969}
+ $$
+ \item Koliko sta dolgi najdaljša in najkrajša višina trikotnika, ki ima stranice dolge \cm{8}, \cm{11} in \cm{14}?
+ $$
+ v_a=\frac{2\herod(a, b, c)}{\cm{8}}=\cm{10,978} \wedge
+ v_b=\frac{2\herod(a, b, c)}{\cm{11}}=\cm{7,984} \wedge
+ v_c=\frac{2\herod(a, b, c)}{\cm{14}}=\cm{6,273}
+ $$
+\end{enumerate}
+\section{Zaključek}
+\hologo{LaTeX} izvorna koda dokumenta je objavljena na \url{https://git.sijanec.eu/sijanec/sola-gimb-3}. Za izdelavo dokumenta je potreben \texttt{TeXLive 2020}.
+\if\razhroscevanje1
+\vfill
+\section*{Razhroščevalne informacije}
+Konec generiranja dokumenta \today\ ob \currenttime.
+
+Dokument se je generiral R0qK1KR2 \SI{}{\second}. % aaasecgeninsaaa
+\fi
+\end{document}