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+\BOOKMARK [1][-]{section.3}{Zakljucek}{}% 3
+\BOOKMARK [1][-]{section.4}{Razhro\235cevalne informacije}{}% 4
diff --git a/mat/domace_naloge/8/dokument.pdf b/mat/domace_naloge/8/dokument.pdf
new file mode 100644
index 0000000..f4475a9
--- /dev/null
+++ b/mat/domace_naloge/8/dokument.pdf
diff --git a/mat/domace_naloge/8/dokument.synctex.gz b/mat/domace_naloge/8/dokument.synctex.gz
new file mode 100644
index 0000000..a1eb28a
--- /dev/null
+++ b/mat/domace_naloge/8/dokument.synctex.gz
diff --git a/mat/domace_naloge/8/dokument.tex b/mat/domace_naloge/8/dokument.tex
new file mode 100644
index 0000000..a179ea9
--- /dev/null
+++ b/mat/domace_naloge/8/dokument.tex
@@ -0,0 +1,378 @@
+% !TeX encoding = UTF-8
+% !TeX spellcheck = sl_SI
+\documentclass[]{article}
+\usepackage[utf8]{inputenc}
+\usepackage{etoolbox}
+\usepackage[hidelinks]{hyperref}
+\usepackage[a4paper, total={7in, 10in}]{geometry}
+\usepackage{graphicx}
+\usepackage{hologo}
+\usepackage{amssymb}
+\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{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{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
+\makeatletter
+\newcommand{\stevilkadn}{8}
+\newcommand{\snovdn}{Toge preslikave }
+\newcommand{\cm}[1]{\SI{#1}{\centi\meter}}
+\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{30. september 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 5. oktobra 2020, in njihove
+	rešitve, ki sem jih spisal sam. Naloge obsegajo snov \textit{\snovdn}in so
+	iz učbenika (stran 26) in vaj (stran 21). Kjer je bilo potrebno izbrati neke poljubne primere, sem jih vedno izbral naključno.
+\end{abstract}
+% \tableofcontents
+
+\section{Učbenik \textit{Matematika 2} --- stran 26}
+\begin{enumerate}[label=\textbf{\arabic*.}]
+	\item Prezrcali enakostranični trikotnik $ABC$, ki ima stranico dolgo \cm{1}, \textsuperscript{(kako lahko narišem razviden \cm{1} enakostranični trikotnik?!)}
+		\begin{enumerate}[label=\textbf{\xslalph*)}] % c, b
+			\begin{multicols}{2}
+				\setcounter{enumii}{1}
+				\item \color{cyan} čez nosilko stranice $BC$, \color{black}
+				\item \color{magenta} čez nosilko višine na osnovnico. \color{black}
+			\end{multicols}
+		\end{enumerate}
+		\begin{center}
+			\begin{tikzpicture}
+				\tkzDefPoint(0,0){A}
+				\tkzDefPoint(60:1){C}
+				\tkzDefPoint(1,0){B}
+				\tkzDrawLine(A,C) \tkzLabelLine[](A,C)
+				{$b=\color{magenta}a'\color{black}$}
+				\tkzDrawLine(C,B) \tkzLabelLine[pos = 0.25](C,B)
+				{$a=\color{magenta}b'\color{black}$}
+				\tkzDrawLine(B,A) \tkzLabelLine[below](B,A)
+				{$c=\color{magenta}c'\color{black}$}
+				\tkzDefMidPoint(C,B) \tkzGetPoint{CB}
+				\tkzCompass[color=cyan](C,CB) \tkzCompass[color=cyan](B,CB)
+				\tkzInterLC(A,CB)(CB,A) \tkzGetPoints{AAGAIN}{AX}
+				\tkzDrawLine[color=cyan](A,AX)
+				\tkzDrawPoint[color=cyan](AX)
+				\tkzLabelPoint[color=cyan](AX){$A'$}
+				\tkzDrawLine[color=cyan, add = 0 and 0](C,AX)
+				\tkzLabelLine[color=cyan](C,AX){$b'$}
+				\tkzDrawLine[color=cyan, add = 0 and 0](B,AX)
+				\tkzLabelLine[color=cyan](B,AX){$c'$}
+				\tkzDrawLine[color=cyan, add = 0 and 0](B,C)
+				\tkzLabelLine[color=cyan, pos = 0.75](C,B){$a'$}
+				\tkzDefMidPoint(A,B) \tkzGetPoint{AB}
+				\tkzCompass[color=magenta](A,AB) \tkzCompass[color=magenta](B,AB)
+				\tkzDrawLine[color=magenta](C,AB)
+				\tkzLabelPoint[below left](A){$A=\color{magenta}B'\color{black}$}
+				\tkzLabelPoint[](B)
+					{$B=\color{cyan}B'\color{black}=\color{magenta}A'\color{black}$}
+				\tkzLabelPoint[above](C)
+					{$C=\color{cyan}C'\color{black}=\color{magenta}C'\color{black}$}
+				\tkzDrawPoints(A,B,C)
+			\end{tikzpicture}
+		\end{center}
+	\item Načrtaj krožnico s središčem $S$ in polmerom \cm{3} ter premico $p$, ki je od točke $S$ oddaljena \cm{2}, ter prezrcali krožnico čez premico.
+		\begin{center}
+			\begin{tikzpicture}
+				\tkzDefPoint(0,0){S}
+				\tkzDefPoint(4,0){K}
+				\tkzCompass(S,K)
+				\tkzDefPoint(3,0){R}
+				\tkzDrawCircle(S,R)
+				\tkzDrawLine(S,K)
+				\tkzInterCC(S,K)(K,S) \tkzGetPoints{SK}{KS}
+				\tkzCompass(K,SK) \tkzCompass(K,KS) \tkzCompass(S,SK) \tkzCompass(S,KS)
+				\tkzDrawLine(SK,KS) \tkzLabelLine[left](SK,KS){$p$}
+				\tkzInterLL(SK,KS)(S,K) \tkzGetPoint{P}
+				\tkzMarkRightAngles(S,P,SK)
+				\tkzInterLC(S,K)(P,K) \tkzGetPoints{SAGAIN}{SX} \tkzCompass(P,SX)
+				\tkzInterLC(S,R)(P,R) \tkzGetPoints{RX}{RAGAIN} \tkzCompass(P,RX)
+				\tkzLabelPoint(SX){$S'$}
+				\tkzLabelPoint(RX){$R'$}
+				\tkzDrawCircle(SX,RX)
+				\tkzDrawPoints(S,R)
+				\tkzLabelPoints(S,R)
+			\end{tikzpicture}
+		\end{center}
+	\item Premici $p$ in $q$ se sekata v točki $T$. Prezrcali premico $p$ čez premico $q$, če premici oklepata kot:
+		\begin{enumerate}[label=\textbf{\xslalph*)}] % b, č
+			\begin{multicols}{2}
+				\setcounter{enumii}{1}
+				\item \color{cyan}\ang{60}\color{black}
+				\setcounter{enumii}{3}
+				\item \color{magenta}\ang{75}\color{black}
+			\end{multicols}
+		\end{enumerate}
+		\begin{center}
+			\begin{tikzpicture}
+				\tkzDefPoint(-4,0){P}
+				\tkzDefPoint(4,0){R}
+				\tkzDefPoint(30:4){Q}
+				\tkzDefPoint(210:4){W}
+				\tkzDefPoint(60:4){Q1}
+				\tkzDefPoint(240:4){W1}
+				\tkzDefMidPoint(P,R) \tkzGetPoint{T}
+				\tkzDrawLine(P,R) \tkzLabelLine[above, pos = 0.25](P,R){$p$}
+				\tkzDrawLine[color=cyan](Q,W) \tkzLabelLine[above, pos = 0.25, color=cyan](Q,W){$q$} % cayn
+				\tkzCompass[color=cyan](T,W) \tkzInterCC(T,W)(W,P) \tkzGetPoints{PX}{PAGAIN}
+				\tkzCompass[color=cyan](W,PX) \tkzCompass[color=cyan](T,PX) \tkzLabelPoint[color=cyan](PX){$P'$}
+				\tkzCompass[color=cyan](T,Q) \tkzInterCC(T,Q)(Q,R) \tkzGetPoints{RX}{RAGAIN}
+				\tkzCompass[color=cyan](Q,RX) \tkzCompass[color=cyan](T,RX) \tkzLabelPoint[color=cyan](RX){$R'$}
+				\tkzDrawLine[color=cyan](RX,PX)
+				\tkzDrawLine[color=magenta](Q1,W1) \tkzLabelLine[color=magenta, above, pos = 0.25](Q1,W1){$q$} % magen
+				\tkzCompass[color=magenta](T,W1) \tkzInterCC(T,W1)(W1,P) \tkzGetPoints{PX1}{PAGAIN1}
+				\tkzCompass[color=magenta](W1,PX1) \tkzCompass[color=magenta](T,PX1) \tkzLabelPoint[color=magenta](PX1){$P'$}
+				\tkzCompass[color=magenta](T,Q1) \tkzInterCC(T,Q1)(Q1,R) \tkzGetPoints{RX1}{RAGAIN1}
+				\tkzCompass[color=magenta](Q1,RX1) \tkzCompass[color=magenta](T,RX1) \tkzLabelPoint[color=magenta](RX1){$R'$}
+				\tkzDrawLine[color=magenta](RX1,PX1)
+				\tkzDrawPoints(P,R,T)
+				\tkzLabelPoints(P,R,T)
+			\end{tikzpicture}
+		\end{center}
+	\item Zavrti enakostranični trikotnik $ABC$ okrog oglišča $C$ za kot:
+		\begin{enumerate}[label=\textbf{\xslalph*)}] % č, b
+			\begin{multicols}{2}
+				\setcounter{enumii}{1}
+				\item \color{cyan} \ang{60} \color{black}
+				\setcounter{enumii}{3}
+				\item \color{magenta} \ang{120} \color{black}
+			\end{multicols}
+			\begin{center}
+				\begin{tikzpicture}
+					\tkzDefPoint(0,0){A}
+					\tkzDefPoint(4,0){B}
+					\tkzDefPoint(60:4){C}
+					\tkzDrawLine(A,B) \tkzLabelLine[above](A,B){$c$}
+					\tkzDrawLine(A,C) \tkzLabelLine[below](A,C){$b$}
+					\tkzDrawLine(C,B) \tkzLabelLine[below](C,B){$a=\color{cyan}b'$}
+					\tkzInterCC(C,B)(B,C) \tkzGetPoints{CBU}{CBUNAPAK}
+					\tkzCompass[color=cyan](C,CBU) \tkzCompass[color=cyan](B,CBU)
+					\tkzDrawLine[color=cyan](C,B)
+					\tkzDrawLine[color=cyan](C,CBU)
+					\tkzLabelLine[above](C,CBU)
+						{$\color{cyan}a'\color{black}=\color{magenta}b'$}
+					\tkzDrawLine[color=cyan](B,CBU)
+					\tkzLabelLine[color=cyan, above](B,CBU){$c'$}
+					\tkzDrawLine[color=magenta](C,CBU)
+					\tkzInterLC(A,C)(C,A) \tkzGetPoints{AAGAIn}{AX}
+					\tkzDrawLine[color=magenta](C,AX) \tkzCompass[color=magenta](C,AX)
+					\tkzLabelLine[above, color=magenta](C,AX){$a'$}
+					\tkzDrawLine[color=magenta](AX,CBU)
+					\tkzLabelLine[color=magenta, above](AX,CBU){$c'$}
+					\tkzLabelPoint[color=magenta](AX){$A'$}
+					\tkzLabelPoint(CBU){$\color{cyan}B'\color{black}=\color{magenta}A'$}
+					\tkzLabelPoint(B){$B=\color{cyan}A'$}
+					\tkzLabelPoint(C){$C=\color{cyan}C'\color{black}=\color{magenta}C'$}
+					\tkzDrawPoints(A,B,C) \tkzLabelPoints(A)
+				\end{tikzpicture}
+			\end{center}
+		\end{enumerate}
+	\item Zavrti okrog središča:
+		\begin{enumerate}[label=\textbf{\xslalph*)}] % c, a
+			\begin{multicols}{2}
+				\item kvadrat za \ang{90}
+					\begin{center}
+						\begin{tikzpicture}
+							\tkzDefPoint(0,1){D} \tkzDefPoint(1,1){C}
+							\tkzDefPoint(0,0){A} \tkzDefPoint(1,0){B}
+							\tkzDrawLine(A,B) \tkzDrawLine(B,C)
+							\tkzDrawLine(C,D) \tkzDrawLine(D,A)
+							\tkzDrawPoints(A,B,C,D)
+							\tkzLabelPoint[below left](A){$A=D'$}
+							\tkzLabelPoint[](B){$B=A'$}
+							\tkzLabelPoint[above right](C){$C=B'$}
+							\tkzLabelPoint[above left](D){$D=C'$}
+						\end{tikzpicture}
+					\end{center}
+				\setcounter{enumii}{2}
+				\item krožnico za \ang{90}
+					\begin{center}
+						\begin{tikzpicture}
+							\tkzDefPoint(0,0){S}
+							\tkzDefPoint(1,0){K}
+							\tkzDrawCircle(S,K)
+							\tkzDrawPoints(S)
+							\tkzLabelPoints(S)
+						\end{tikzpicture}
+					\end{center}
+			\end{multicols}
+		\end{enumerate}
+	\item Prezrcali
+		\begin{enumerate}[label=\textbf{\xslalph*)}] % c, b
+			\setcounter{enumii}{1}
+			\item pravilni šestkotnik $ABCDEF$ čez eno izmed oglišč,
+			\item krožnico čez eno izmed točk na njej.
+			\begin{multicols}{2}
+				\begin{center}
+					\begin{tikzpicture}
+						\tkzDefPoint(0,0){O}
+						% šestkotnik 360/6=60
+						\foreach[count=\i] \ANG in {60,60*2,60*3,60*4,60*5,60*6} {
+							\tkzDefPoint({2*cos(\ANG*pi/180)},{2*sin(\ANG*pi/180)}){P\i}
+						}
+						\foreach[count=\i] \ANG in {60,60*2,60*3,60*4,60*5,60*6} {
+							\tkzDefPoint({2*cos(\ANG*pi/180)+4},{2*sin(\ANG*pi/180)}){R\i}
+						}
+						\tkzDrawPolygon[](P1,P2,P3,P4,P5,P6)
+						\tkzDrawPoints(P1,P2,P3,P4,P5,P6)
+						\tkzDrawPolygon[color=magenta](R1,R2,R3,R4,R5,R6)
+						\tkzDrawPoints[color=magenta](R1,R2,R3,R4,R5,R6)
+						\tkzDrawLine[color=cyan](P2,R5) \tkzDrawLine[color=cyan](P4,R1)
+						\tkzDrawLine[add=0.1 and 0.1, color=cyan](P3,R6)
+						\tkzCompass[color=cyan](P6,R5) \tkzCompass[color=cyan](P6,R6)
+						\tkzCompass[color=cyan](P6,R1) \tkzCompass[color=cyan](P6,R2)
+						\tkzCompass[color=cyan](P6,R4)
+					\end{tikzpicture}
+				\end{center}
+				\begin{center}
+					\begin{tikzpicture}
+						\tkzDefPoint(0,0){S}
+						\tkzDefPoint(1.5,0){K}
+						\tkzDefPoint(3,0){SX}
+						\tkzDrawCircle(S,K)
+						\tkzDrawCircle[color=magenta](SX,K)
+						\tkzDrawLine[color=cyan](S,SX)
+						\tkzCompass[color=cyan](K,SX)
+						\tkzLabelPoint[color=magenta](SX){$S'$}
+						\tkzDrawPoints(S) \tkzLabelPoints(S)
+						\tkzDrawPoints[color=magenta](K)
+					\end{tikzpicture}
+				\end{center}
+			\end{multicols}
+		\end{enumerate}
+\end{enumerate}
+\section{Zbirka nalog \textit{Matematika 2} --- stran 21}
+\begin{enumerate}[label=\textbf{\arabic*.}] % 113, 108, 112, 105
+	\setcounter{enumi}{104}
+	\item Slike preriši na karirast papir v zvezek. Nariši zrcalne slike likov glede na narisano premico.
+	\setcounter{enumi}{107}
+	\item V pravokotnem sistemu nariši daljivo s krajiščema $A(3,-2)$ in $B(6,1)$. Nariši daljice:
+		\begin{itemize}
+			\item $A_1B_1$, ki je zrcalna slika daljice $AB$ glede na os $x$,
+			\item $A_2B_2$, ki je zrcalna slika daljice $AB$ glede na os $y$,
+			\item $A_3B_3$, ki je zrcalna slika daljice $AB$ glede na simetralo lihih kvadrantov,
+			\item $A_4B_4$, ki je zrcalna slika daljice $AB$ glede na simetralo sodih kvadrantov,
+		\end{itemize}
+		in zapiši koordinate krajišč teh daljic.
+	\setcounter{enumi}{111}
+	\item Nariši:
+		\begin{enumerate}[label=\textbf{\xslalph*)}]
+			\item trikotnik s podatki $a=\cm{5}$, $b=\cm{4}$ in $c=\cm{4}$ ter ga prezrcali čez stranico $c$,
+			\item enakostranični trikotnik $ABC$ s \cm{3} dolgo stranico ter ga prezrcali čez stranico $AC$,
+			\item kvadrat $ABCD$ s stranico, dolgo \cm{2}, in ga prezrcali čez stranico $AD$,
+			\item pravokotnik $ABCD$ s stranicama, dolgima $a=\cm{4}$ in $b=\cm{2}$, in ga prezrcali čez diagonalo $AC$.
+		\end{enumerate}
+	\item Slike preriši na karirast papir. Nariši vse simetrale.
+\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/mat/domace_naloge/\stevilkadn/}{/mat/domace\_naloge/\stevilkadn/}. Povezava za ogled zadnje različice tega dokumenta v PDF obliki je  \url{http://razor.arnes.si/~asija3/files/sola/gimb/2/mat/domace_naloge/\stevilkadn/dokument.pdf} in/ali \url{https://github.com/sijanec/sola-gimb-2/raw/master/mat/domace_naloge/\stevilkadn/dokument.pdf}.
+
+\if\razhroscevanje1
+\section{Razhroščevalne informacije}
+Te informacije so generirane, ker je omogočeno razhroščevanje. Prej 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"
+\fi
+%	\item $$$$
+\end{document}
diff --git a/mat/domace_naloge/8/dokument.toc b/mat/domace_naloge/8/dokument.toc
new file mode 100644
index 0000000..5f75087
--- /dev/null
+++ b/mat/domace_naloge/8/dokument.toc
@@ -0,0 +1,4 @@
+\contentsline {section}{\numberline {1}Učbenik \textit {Matematika 2} --- stran 26}{1}{section.1}%
+\contentsline {section}{\numberline {2}Zbirka nalog \textit {Matematika 2} --- stran 21}{3}{section.2}%
+\contentsline {section}{\numberline {3}Zaključek}{4}{section.3}%
+\contentsline {section}{\numberline {4}Razhroščevalne informacije}{4}{section.4}%
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