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% !TeX encoding = UTF-8
% !TeX spellcheck = sl_SI
% do-vimlatex-onwrite
\documentclass[]{article}
\usepackage[utf8]{inputenc}
\usepackage{etoolbox}
\usepackage[hidelinks]{hyperref}
\usepackage[a4paper, total={7in, 10in}]{geometry}
\usepackage{graphicx}
\usepackage{hologo}
\usepackage{amssymb}
\usepackage{calculator}
\usepackage{pgfplots}
\usepackage[inline]{enumitem}
\usepackage{amsmath}
\usepackage{siunitx}
\usepackage{multicol}
\usepackage{tabularcalc}
\usepackage{amsmath}
\usepackage{float}
\usepackage{tasks}
\usepackage{filecontents}
\usepackage{textcomp}
\usepackage{tkz-euclide}
\usepackage{dirtytalk}
\usepackage{csquotes}
\usepackage{listings}
% \usepackage{multienum} % weird with labels
\usetikzlibrary{calc} %% not really needed............. idk.
%\usetikzlibrary{external}
% \usetkzobj{all} % tkz-euclide > 3.02 tega ne potrebuje več (:
%\tikzexternalize
\usepackage{xcolor}
\sisetup{output-decimal-marker = {,}, quotient-mode=fraction,per-mode=fraction} % per-mode=symbol
\newcommand\ddfrac[2]{\frac{\displaystyle #1}{\displaystyle #2}}
\newcommand{\functionSamples}{100} % fix to fancier value upon release, keep low during development
\newcommand{\razhroscevanje}{1}
\definecolor{codegreen}{rgb}{0,0.6,0}
\definecolor{codered}{rgb}{1,0,0}
\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}
\def\@maketitle{%
\newpage
\null
\vskip 2em%
\begin{center}%
\let \footnote \thanks
{\LARGE \@title \par}%
\vskip 1.5em%
{\large
\lineskip .5em%
\begin{tabular}[t]{c}% <------
\@author% <------ Authors
\end{tabular}\par}% <------
\vskip 1em%
{\large \@date}%
\end{center}%
\par
\vskip 1.5em}
%opening
\newcommand{\snovdn}{Trikotnik --- konstrukcije }
\newcommand{\predmdn}{mat}
\newcommand{\stevilkadn}{14}
\newcommand{\cm}[1]{\SI{#1}{\centi\meter}}
\newcommand{\kmh}[1]{\SI{#1}{\kilo\meter\per\hour}}
\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
\newcommand\gauss[2]{1/(#2*sqrt(2*pi))*exp(-((x-#1)^2)/(2*#2^2))} % Gauss function, parameters mu and sigma
\newcommand*\textfrac[2]{
\frac{\text{#1}}{\text{#2}}
}
\renewcommand\abstractname{Povzetek}
\date{22. oktober 2020}
\renewcommand\contentsname{Kazalo vsebine}
\renewcommand\figurename{Slika}
\renewcommand\abstractname{Povzetek}
\newcommand{\iic}{I\textsuperscript{2}C }
% \patchcmd{\thebibliography}{\section*{\refname}}{}{}{}
\title{%
\snovdn --- \stevilkadn. domača naloga \\
\large Matematika, Gimnazija Bežigrad}
\author{\begin{tabular}{rl}
\textbf{Profesor:} & prof. Vilko Domajnko \\
\textbf{Avtor:} & Anton Luka Šijanec, 2. a
% \textbf{Avtor:} & Anton Luka Šijanec \\ & Member 2 \\ & Member 3
\end{tabular}}
% \everymath{\displaystyle} % https://tex.stackexchange.com/a/32847/212260
\begin{document}
\maketitle
\begin{abstract}
Ta dokument obsega naloge, naročene dijakom 22. oktobra 2020, in njihove rešitve, ki sem jih spisal sam. Naloge obsegajo snov \textit{\snovdn}in so iz učnega lista profesorja Domajnka in vaj.
\end{abstract}
\tableofcontents
\section{Vaje \textit{Matematika 2}: stran 29 --- Trikotnik}
\begin{enumerate}[label=\textbf{\arabic*.}]
\setcounter{enumi}{164}
\item[\textbf{165.*}] Načrtaj trikotnik $ABC$ z dano vsoto dolžin stranic. Napiši postopek načrtovanja.
% Nihče ni rekel, v katerem jeziku, zato bom postopek opisal kar v \hologo{LaTeX} jeziku \texttt{PGF/Ti\textit{k}Z}. Kako prikladno, ne?
\begin{enumerate}[label=\textbf{\xslalph*)}] % b č a d
\item $a+c=\cm{10}, \alpha=\ang{30}, b=\cm{4}$
\input{165a}
\lstinputlisting[language=TeX]{165a.tex}
\item $a+c=\cm{10}, \gamma=\ang{30}, b=\cm{4}$
\input{165b}
\lstinputlisting[language=TeX]{165b.tex}
\setcounter{enumii}{3}
\item $b+c=\cm{7}, v_b=\cm{3}, a=\cm{4}$
% \input{165cstresica} % ne, to nalogo sem si kar v možganih izmislil...
% \lstinputlisting[language=TeX]{165cstresica.tex}
\item $a+b+c=\cm{12}, \alpha=\ang{30}, \beta=\ang{75}$
% Nisem povsem prepričan, če smem uporabljati \textit{matematiko} \textsuperscript{(kaj sploh je to?)}, ampak nekako \textit{očitno} je, da so stranice trikotnika v razmerju $75:75:30$, torej je najkrajša dolga $\frac{1}{6}\cm{12}$.
%\begin{center}
% \begin{tikzpicture}
% \tkzDefPoint(0,0){A} \tkzDefPoint(3,0){12}
% \tkz
% \tkzDrawPoints()
% \end{tikzpicture}
%\end{center}
\end{enumerate}
\item[\textbf{166.*}] Načrtaj trikotnik $ABC$ z dano razliko dolžin stranic. Napiši postopek načrtovanja.
\begin{enumerate}[label=\textbf{\xslalph*)}] % c b
\setcounter{enumii}{1}
\item $a-c=\cm{2}, \gamma=\ang{30}, v_a=\cm{4}$
\item $b-c=\cm{1}, \gamma=\ang{60}, a=\cm{3}$
\end{enumerate}
\end{enumerate}
\section{Zaključek}
Ta dokument je informativne narave in se lahko še spreminja. Najnovejša različica, torej PDFji in
\hologo{LaTeX}
izvorna koda, zgodovina sprememb in prejšnje različice, je na voljo mojem šolskem Git repozitoriju na
\url{https://github.com/sijanec/sola-gimb-2} v mapi
\href{https://github.com/sijanec/sola-gimb-2/tree/master/\predmdn/domace_naloge/\stevilkadn/}{/\predmdn/domace\_naloge/\stevilkadn/}. Povezava za ogled zadnje različice tega dokumenta v PDF obliki je \url{http://razor.arnes.si/~asija3/files/sola/gimb/2/\predmdn/domace_naloge/\stevilkadn/dokument.pdf} in/ali \url{https://github.com/sijanec/sola-gimb-2/raw/master/\predmdn/domace_naloge/\stevilkadn/dokument.pdf}.
\if\razhroscevanje1
\section{Razhroščevalne informacije}
Te informacije so generirane, ker je omogočeno razhroščevanje. Pred objavo dokumenta izklopite razhroščevanje. To naredite tako, da nastavite ukaz \texttt{razhroscevanje} na 0 v začetku dokumenta.
Grafi imajo natančnost \functionSamples\space točk na graf.
Konec generiranja dokumenta: \input|"date -Ins"
Dokument se je generiral aaasecgeninsaaa \SI{}{\second}.
\fi
% \item $$$$
\end{document}
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