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% !TeX encoding = UTF-8
% !TeX spellcheck = sl_SI
% do-vimlatex-onwrite
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\usepackage{tkz-euclide}
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\usepackage[ddMMyyyy]{datetime}
\usepackage{ccicons}
\usepackage{chemformula}
\usepackage{gensymb}
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\usepackage{cancel}
% \usepackage{multienum} % weird with labels
\usetikzlibrary{calc} %% not really needed............. idk.
%\usetikzlibrary{external}
% \usetkzobj{all} % tkz-euclide > 3.02 tega ne potrebuje več (:
%\tikzexternalize
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{\large
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\begin{tabular}[t]{c}% <------
\@author% <------ Authors
\end{tabular}\par}% <------
\vskip 1em%
{\large \@date}%
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\par
\vskip 1.5em}
%opening
\newcommand{\snovdn}{Koti }
\newcommand{\predmdn}{mat}
\newcommand{\predmkaj}{advent}
\newcommand{\stevilkadn}{1}
\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}
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\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}
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\newcommand\gauss[2]{1/(#2*sqrt(2*pi))*exp(-((x-#1)^2)/(2*#2^2))} % Gauss function, parameters mu and sigma
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% \renewcommand\abstractname{Povzetek}
% \date{17. november 2020}
% \renewcommand\contentsname{Kazalo vsebine}
% \renewcommand\figurename{Slika}
% \renewcommand\abstractname{Povzetek}
\newcommand{\iic}{I\textsuperscript{2}C }
% \patchcmd{\thebibliography}{\section*{\refname}}{}{}{}
\title{%
\snovdn --- \stevilkadn. naloga Famnitovega matematičnega adventnega koledarja
\\
\large Matematika, Univerza na Primorskem}
\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}}
\newcommand\hcancel[2][black]{\setbox0=\hbox{$#2$}%
\rlap{\raisebox{.45\ht0}{\textcolor{#1}{\rule{\wd0}{1pt}}}}#2}
% \everymath{\displaystyle} % https://tex.stackexchange.com/a/32847/212260
\begin{document}
\maketitle
\begin{abstract}
Dokument z nalogo in njeno rešitvijo.
\end{abstract}
\tableofcontents
\section{Naloga}
V notranjost kvadrata ABCD narišemo točko E, tako da bo enako oddaljena od točke B, kot je od točke B oddaljena točka A, in da bo kot DAE meril 26 stopinj. Točka F naj bo presečišče daljic BE in AC. Določi kote trikotnika BCF in jih vnesi po velikosti.
\section{Rešitev}
\begin{center}
\begin{tikzpicture}
\newcommand\stranica{6}
\tkzDefPoint(0,0){A} \tkzDefPoint(\stranica,0){B}
\tkzDefPoint(\stranica,\stranica){C} \tkzDefPoint(0,\stranica){D}
\tkzDefPoint(90+26:\stranica){EH} \tkzDefPoint(90-26:\stranica){26}
\tkzDrawPolygon[fill=red!30, opacity=.3](A,B,C,D)
\tkzDrawLine(A,EH)
\tkzDrawLine(A,26)
\tkzLabelAngle[pos=3, shift={({0},{0})}, red](D,A,EH){$\angle DAE$}
\tkzLabelAngle[pos=3, shift={({0},{0})}](26,A,E){$\angle EAD$}
\tkzDrawPolygon[fill=red!30, opacity=.3](A,B,C,D)
\tkzDrawCircle(B,A)
\tkzInterLC(A,26)(B,A) \tkzGetPoints{AAGAIN}{E}
\tkzDrawLine(A,C) \tkzDrawLine(B,E)
\tkzInterLL(A,C)(B,E) \tkzGetPoint{F}
\tkzFindAngle(F,C,B) \tkzGetAngle{aFCB}
\tkzFindAngle(B,F,C) \tkzGetAngle{aBFC}
\tkzFindAngle(C,B,F) \tkzGetAngle{aCBF}
\sisetup{round-mode=places}
\tkzLabelAngle(F,C,B){$\ang[round-precision=0]{\aFCB}$}
\tkzLabelAngle(B,F,C){$\ang[round-precision=0]{\aBFC}$}
\tkzLabelAngle(C,B,F){$\ang[round-precision=0]{\aCBF}$}
\tkzDrawPoints(A,B,C,D,E,F) \tkzLabelPoints(A,B,C,D,E,F)
\end{tikzpicture}
\end{center}
\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 v mojem šolskem Git repozitoriju na
\url{https://git.sijanec.eu/sijanec/sola-gimb-2} v mapi
\href{https://git.sijanec/sola-gimb-2/src/branch/master/\predmdn/\predmkaj/\stevilkadn/}{/\predmdn/\predmkaj/\stevilkadn/}. Povezava za ogled zadnje različice tega dokumenta v PDF obliki je \url{http://razor.arnes.si/~asija3/files/sola/gimb/2/\predmdn/\predmkaj/\stevilkadn/dokument.pdf} in/ali \url{https://git.sijanec.eu/sijanec/sola-gimb-2/raw/branch/master/\predmdn/\predmkaj/\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: \today\ ob \currenttime\footnote{To ne nakazuje dejanskega časa, ko je bil dokument napisan, temveč čas, ko je bi dokument generiran v PDF/DVI obliko. Isto velja za datum v glavi dokumenta. Če berete direktno iz LaTeX datoteke, bo to vedno današnji datum.}%\input|"date -Ins"
Dokument se je generiral R0qK1KR2 \SI{}{\second}.
\fi
% \item $$$$ aaasecgeninsaaa R0qK1KR2
\end{document}
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