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-rw-r--r--mat/domace_naloge/24/dokument.aux36
-rw-r--r--mat/domace_naloge/24/dokument.log2055
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-rw-r--r--mat/domace_naloge/24/dokument.tex214
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+I can't work with sizes bigger than about 19 feet.
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diff --git a/mat/domace_naloge/24/dokument.out b/mat/domace_naloge/24/dokument.out
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+++ b/mat/domace_naloge/24/dokument.out
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+\BOOKMARK [1][-]{section.1}{Zakljucek}{}% 1
diff --git a/mat/domace_naloge/24/dokument.pdf b/mat/domace_naloge/24/dokument.pdf
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diff --git a/mat/domace_naloge/24/dokument.tex b/mat/domace_naloge/24/dokument.tex
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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{xurl} % da breaka url
+\usepackage[a4paper, total={7in, 10in}]{geometry}
+\usepackage{graphicx}
+\usepackage{hologo}
+\usepackage{amssymb}
+\usepackage{calculator}
+\usepackage{pgfplots}
+\usepackage[inline]{enumitem}
+\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{datetime} % [ddMMyyyy]
+\usepackage{ccicons}
+\usepackage{chemformula}
+\usepackage{gensymb}
+\usepackage[normalem]{ulem}
+\usepackage[slovene]{babel}
+\usepackage{cancel}
+\usepackage{tabularx}
+\usepackage{xcolor}
+\usepackage{colortbl}
+\usepackage{exsheets}
+\usepackage{harpoon}
+\usepackage{readarray}
+\usepackage{forloop}
+\usepackage[nomessages]{fp}
+\usepackage{multirow}
+\newcolumntype{Y}{>{\centering\arraybackslash}X}
+% \usepackage{multienum} % weird with labels
+\usetikzlibrary{calc} %% not really needed............. idk.
+%\usetikzlibrary{external}
+% \usetkzobj{all} % tkz-euclide > 3.02 tega ne potrebuje več (:
+%\tikzexternalize
+\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}
+\renewcommand{\dateseparator}{. }
+\settimeformat{hhmmsstime}
+\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}{Kotne funkcije }
+\newcommand{\predmdn}{mat}
+\newcommand{\predmkaj}{domace\_naloge}
+\newcommand{\stevilkadn}{24}
+\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}}
+}
+\NewTasks[counter-format=\xslalph*),label-format=\bfseries]{primerTasks}(3)
+\newcommand\vektor{\overrightarrow}
+\newcommand{\iic}{I\textsuperscript{2}C }
+\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}}
+\newcommand\hcancel[2][black]{\setbox0=\hbox{$0#2$}%
+\rlap{\raisebox{.45\ht0}{\textcolor{#1}{\rule{\wd0}{1pt}}}}#2}
+% \everymath{\displaystyle} % https://tex.stackexchange.com/a/32847/212260
+\begin{document}
+\maketitle
+\begin{abstract}
+Ta dokument vsebuje navodila in rešitve domačih nalog snovi \textit{\snovdn}pri matematiki, ki sem jih spisal sam. Kjer je bilo potrebno izbirati neke poljubne naloge, sem jih vselej izbral naključno.
+\end{abstract}
+\paragraph{Navodilo naloge} \textbf{listi:} \textit{Kotne funkcije - 1} / 1, ... 15 (izberi štiri naloge)
+%\tableofcontents
+\begin{enumerate}[label=\textbf{\arabic*.}] % 8, 6, 14, 13
+ % \item Felicijan stoji na hribu, ki se dviguje 244 metrov visoko nad barjem naokoli. Z vrha vidi v ravno črto poravnani hiši, kjer stanuje on, in hišo svoje prijateljice Gizelice. Svojo vidi pod vpadnim kotom % 6
+ \setcounter{enumi}{5}
+ \item Stolp, visok 20 metrov, vidiš iz točke, ki leži v ravnini podnožja stolpa, pod kotom \ang{30}. Pod kakšnim kotom bi iz te točke videl dvakrat višji stolp, ki bi stal na istem mestu?
+
+ \begin{multicols}{2}
+ \def\c{34.6410}
+ \begin{tikzpicture}[scale=.15]
+ \tkzDefPoint(0,0){Jaz}
+ \tkzDefPoint(\c,0){HisaJZ} \tkzDefPoint(\c+10,0){HisaJV} \tkzDefPoint(\c,20){HisaSZ} \tkzDefPoint(\c+10,20){HisaSV}
+ \tkzDefPoint(\c,0){StolpJZ} \tkzDefPoint(\c+10,0){StolpJV} \tkzDefPoint(\c,40){StolpSZ} \tkzDefPoint(\c+10,40){StolpSV}
+ \tkzDrawPolygon[fill=red!30, opacity=.3](HisaJZ,HisaJV,HisaSV,HisaSZ)
+ \tkzDrawPolygon[fill=blue!30, opacity=.3](StolpJZ,StolpJV,StolpSV,StolpSZ)
+ \tkzDrawLine(Jaz,HisaSZ) \tkzDrawLine(Jaz,StolpSZ) \tkzDrawLine(Jaz,StolpJZ)
+ \tkzDrawPoints(Jaz) \tkzLabelPoints(Jaz)
+ \end{tikzpicture}
+ \vfill\null\columnbreak
+ Predpostavljam, da ne govorimo o \href{https://sl.wikipedia.org/wiki/Po\%C5\%A1evni\_stolp\_v\_Pisi}{stolpu v Pisi}.
+ $$\displaystyle\arctan{\left(\SI{40}{\meter}:\frac{\SI{20}{\meter}}{\tan{\ang{30}}}\right)}\Tilde=\ang{49,1}$$
+ \end{multicols}
+ \setcounter{enumi}{7}
+ \newpage
+ \item Plavalec v morjo opazuje ladjo, ki pravkar izginja za obzorjem. Ve, da je njen jambor visok 10 metrov. Kako daleč od plavalca je ta ladja?
+ \small
+
+ Zemljo v računu poenostavi v kroglo s polmerom \SI{6368}{\kilo\meter}. Računaj razdaljo po morju. Zatem poišči še razdaljo po zraku. Presenečenje ne bo izostalo.
+ \normalsize
+ \begin{multicols}{2}
+ \def\r{6368}
+ \def\a{1132.96}
+ \begin{tikzpicture}[scale=.005]
+ \tkzDefPoint(0,0){Zemlja} \tkzDefPoint(90:\r){Plavalec} \tkzDefPoint(\a,\r){Vrh}
+ \tkzDrawCircle(Zemlja,Plavalec)
+ \tkzDrawLine[add=0 and 0](Zemlja,Plavalec) \tkzLabelLine[left](Zemlja,Plavalec){$r$}
+ \tkzDrawLine[add=0 and 0](Plavalec,Vrh) \tkzLabelLine[above](Plavalec,Vrh){Pogled}
+ \tkzDrawLine[add=0 and 0](Zemlja,Vrh) \tkzLabelLine[below](Zemlja,Vrh){$r+jambor$}
+ \tkzDrawPoints(Zemlja,Plavalec,Vrh) \tkzLabelPoints(Plavalec,Zemlja,Vrh)
+ \end{tikzpicture}
+ \vfill\null\columnbreak
+ Po zraku:
+ $$\sqrt{(r+\SI{10}{\meter})^2-r^2}\Tilde=\SI{11,285393}{\kilo\meter}$$
+ Po morju:
+ $$r\pi\arccos{\left(\frac{r}{r+\SI{10}{\meter}}\right)}:\ang{180}\Tilde=\SI{11,285380}{\kilo\meter}$$
+ \paragraph{Presenečenje?} po zraku $<$ po morju
+ \vfill
+ \small
+ * skica nima pravih razmerij, jambor je dolg \SI{100}{\kilo\meter}
+ \normalsize
+ \end{multicols}
+ \setcounter{enumi}{12}
+ \item Izračunaj ploščino pravilnega 12-kotnika, ki ima stranico dolgo \SI{1}{\centi\meter}.
+ $$\left(\left(\frac{\sin{\frac{\ang{360}}{12}:2}}{\SI{1}{\centi\meter}:2}\right)^2\cdot12\cdot\sin{\frac{\ang{360}}{12}}\right):2\Tilde=\SI{2700}{\centi\meter}$$
+ \item Izračunaj dolžino diagonale pravilnega petkotnika s stranico dolžine \cm{4}.
+ $$\sin{\left((5-2)\ang{180}:5:2\right)}\cdot4\cdot2\Tilde=\cm{6,472135955}$$
+\end{enumerate}
+\section{Zaključek}
+Ta dokument je informativne narave in se lahko še spreminja. Najnovejša različica, torej PDFji in
+\hologo{LaTeX}\footnote{Za izdelavo dokumenta potrebujete \texttt{TeXLive 2020}.}
+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
+\vfill
+\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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