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-rw-r--r--mat/domace_naloge/1/dokument-figure0.dep1
-rw-r--r--mat/domace_naloge/1/dokument-figure0.dpth0
-rw-r--r--mat/domace_naloge/1/dokument-figure0.log1898
-rw-r--r--mat/domace_naloge/1/dokument-figure0.md51
-rw-r--r--mat/domace_naloge/1/dokument-figure0.pdfbin0 -> 10361 bytes
-rw-r--r--mat/domace_naloge/1/dokument-figure0.pgf-plot.gnuplot2
-rw-r--r--mat/domace_naloge/1/dokument-figure0.pgf-plot.table15
-rw-r--r--mat/domace_naloge/1/dokument-figure1.dep1
-rw-r--r--mat/domace_naloge/1/dokument-figure1.dpth0
-rw-r--r--mat/domace_naloge/1/dokument-figure1.log1876
-rw-r--r--mat/domace_naloge/1/dokument-figure1.md51
-rw-r--r--mat/domace_naloge/1/dokument-figure1.pgf-plot.gnuplot2
-rw-r--r--mat/domace_naloge/1/dokument-figure1.pgf-plot.table15
-rw-r--r--mat/domace_naloge/1/dokument.aux21
-rw-r--r--mat/domace_naloge/1/dokument.auxlock1
-rw-r--r--mat/domace_naloge/1/dokument.log2012
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-rw-r--r--mat/domace_naloge/1/dokument.pgf-plot.gnuplot2
-rw-r--r--mat/domace_naloge/1/dokument.pgf-plot.table15
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-rw-r--r--mat/domace_naloge/1/dokument.tex260
-rw-r--r--mat/domace_naloge/1/dokument.toc3
-rw-r--r--mat/domace_naloge/1/ocene.csv14
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diff --git a/mat/domace_naloge/1/dokument-figure0.dep b/mat/domace_naloge/1/dokument-figure0.dep
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+dokument-figure0.pdf: dokument-figure0.pgf-plot.table
diff --git a/mat/domace_naloge/1/dokument-figure0.dpth b/mat/domace_naloge/1/dokument-figure0.dpth
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diff --git a/mat/domace_naloge/1/dokument-figure0.log b/mat/domace_naloge/1/dokument-figure0.log
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new file mode 100644
index 0000000..07118b6
--- /dev/null
+++ b/mat/domace_naloge/1/dokument-figure0.md5
@@ -0,0 +1 @@
+\def \tikzexternallastkey {3141957C1C52B743D22297B3C8BF7B68}%
diff --git a/mat/domace_naloge/1/dokument-figure0.pdf b/mat/domace_naloge/1/dokument-figure0.pdf
new file mode 100644
index 0000000..0866b8e
--- /dev/null
+++ b/mat/domace_naloge/1/dokument-figure0.pdf
Binary files differ
diff --git a/mat/domace_naloge/1/dokument-figure0.pgf-plot.gnuplot b/mat/domace_naloge/1/dokument-figure0.pgf-plot.gnuplot
new file mode 100644
index 0000000..5d527c3
--- /dev/null
+++ b/mat/domace_naloge/1/dokument-figure0.pgf-plot.gnuplot
@@ -0,0 +1,2 @@
+set table "dokument-figure0.pgf-plot.table"; set format "%.5f"
+set format "%.7e";; set datafile separator ","; plot "ocene.csv" using 1:2 every 1;
diff --git a/mat/domace_naloge/1/dokument-figure0.pgf-plot.table b/mat/domace_naloge/1/dokument-figure0.pgf-plot.table
new file mode 100644
index 0000000..40d1547
--- /dev/null
+++ b/mat/domace_naloge/1/dokument-figure0.pgf-plot.table
@@ -0,0 +1,15 @@
+
+# Curve 0 of 1, 10 points
+# Curve title: ""ocene.csv" using 1:2 every 1"
+# x y type
+1.5000000e+00 3.0000000e+00 i
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+
diff --git a/mat/domace_naloge/1/dokument-figure1.dep b/mat/domace_naloge/1/dokument-figure1.dep
new file mode 100644
index 0000000..64640e4
--- /dev/null
+++ b/mat/domace_naloge/1/dokument-figure1.dep
@@ -0,0 +1 @@
+dokument-figure1.pdf: dokument-figure1.pgf-plot.table
diff --git a/mat/domace_naloge/1/dokument-figure1.dpth b/mat/domace_naloge/1/dokument-figure1.dpth
new file mode 100644
index 0000000..e69de29
--- /dev/null
+++ b/mat/domace_naloge/1/dokument-figure1.dpth
diff --git a/mat/domace_naloge/1/dokument-figure1.log b/mat/domace_naloge/1/dokument-figure1.log
new file mode 100644
index 0000000..3442d98
--- /dev/null
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diff --git a/mat/domace_naloge/1/dokument-figure1.pgf-plot.table b/mat/domace_naloge/1/dokument-figure1.pgf-plot.table
new file mode 100644
index 0000000..40d1547
--- /dev/null
+++ b/mat/domace_naloge/1/dokument-figure1.pgf-plot.table
@@ -0,0 +1,15 @@
+
+# Curve 0 of 1, 10 points
+# Curve title: ""ocene.csv" using 1:2 every 1"
+# x y type
+1.5000000e+00 3.0000000e+00 i
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+3.0000000e+00 4.0000000e+00 i
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diff --git a/mat/domace_naloge/1/dokument.aux b/mat/domace_naloge/1/dokument.aux
new file mode 100644
index 0000000..5341302
--- /dev/null
+++ b/mat/domace_naloge/1/dokument.aux
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+\@writefile{toc}{\contentsline {section}{\numberline {3}Razhro\IeC {\v s}\IeC {\v c}evalne informacije}{2}{section.3}}
diff --git a/mat/domace_naloge/1/dokument.auxlock b/mat/domace_naloge/1/dokument.auxlock
new file mode 100644
index 0000000..323417a
--- /dev/null
+++ b/mat/domace_naloge/1/dokument.auxlock
@@ -0,0 +1 @@
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diff --git a/mat/domace_naloge/1/dokument.log b/mat/domace_naloge/1/dokument.log
new file mode 100644
index 0000000..bd9731e
--- /dev/null
+++ b/mat/domace_naloge/1/dokument.log
@@ -0,0 +1,2012 @@
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diff --git a/mat/domace_naloge/1/dokument.out b/mat/domace_naloge/1/dokument.out
new file mode 100644
index 0000000..6ab9143
--- /dev/null
+++ b/mat/domace_naloge/1/dokument.out
@@ -0,0 +1,3 @@
+\BOOKMARK [1][-]{section.1}{Ucbenik Matematika 2: Stran 11}{}% 1
+\BOOKMARK [1][-]{section.2}{Zakljucek}{}% 2
+\BOOKMARK [1][-]{section.3}{Razhro\235cevalne informacije}{}% 3
diff --git a/mat/domace_naloge/1/dokument.pdf b/mat/domace_naloge/1/dokument.pdf
new file mode 100644
index 0000000..d94f57d
--- /dev/null
+++ b/mat/domace_naloge/1/dokument.pdf
Binary files differ
diff --git a/mat/domace_naloge/1/dokument.pgf-plot.gnuplot b/mat/domace_naloge/1/dokument.pgf-plot.gnuplot
new file mode 100644
index 0000000..5382d6a
--- /dev/null
+++ b/mat/domace_naloge/1/dokument.pgf-plot.gnuplot
@@ -0,0 +1,2 @@
+set table "dokument.pgf-plot.table"; set format "%.5f"
+set format "%.7e";; set datafile separator ","; plot "ocene.csv" using 1:2 every 1;
diff --git a/mat/domace_naloge/1/dokument.pgf-plot.table b/mat/domace_naloge/1/dokument.pgf-plot.table
new file mode 100644
index 0000000..40d1547
--- /dev/null
+++ b/mat/domace_naloge/1/dokument.pgf-plot.table
@@ -0,0 +1,15 @@
+
+# Curve 0 of 1, 10 points
+# Curve title: ""ocene.csv" using 1:2 every 1"
+# x y type
+1.5000000e+00 3.0000000e+00 i
+2.0000000e+00 3.0000000e+00 i
+3.0000000e+00 4.0000000e+00 i
+1.0000000e+00 1.0000000e+00 i
+2.5000000e+00 3.0000000e+00 i
+4.0000000e+00 5.0000000e+00 i
+3.5000000e+00 4.0000000e+00 i
+5.0000000e+00 5.0000000e+00 i
+4.0000000e+00 4.0000000e+00 i
+2.0000000e+00 2.0000000e+00 i
+
diff --git a/mat/domace_naloge/1/dokument.synctex.gz b/mat/domace_naloge/1/dokument.synctex.gz
new file mode 100644
index 0000000..10bdb6c
--- /dev/null
+++ b/mat/domace_naloge/1/dokument.synctex.gz
Binary files differ
diff --git a/mat/domace_naloge/1/dokument.tex b/mat/domace_naloge/1/dokument.tex
new file mode 100644
index 0000000..7194af5
--- /dev/null
+++ b/mat/domace_naloge/1/dokument.tex
@@ -0,0 +1,260 @@
+\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}
+\usetikzlibrary{calc} %% not really needed............. idk.
+%\usetikzlibrary{external}
+\usetkzobj{all}
+%\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}
+\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{\stevilkadn}{1}
+\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{8. september 2020}
+\renewcommand\contentsname{Kazalo vsebine}
+\renewcommand\figurename{Slika}
+\renewcommand\abstractname{Povzetek}
+\newcommand{\iic}{I\textsuperscript{2}C }
+% \patchcmd{\thebibliography}{\section*{\refname}}{}{}{}
+\title{%
+ Osnovni geometrijski pojmi --- \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 8. septembra 2020, in njihove rešitve, ki sem jih spisal sam. Naloge obsegajo snov \textit{Osnovni geometrijski pojmi} in so iz učbenika (stran 11). Kjer je bilo potrebno izbrati neke poljubne naloge, sem jih vedno izbral naključno.
+\end{abstract}
+\tableofcontents
+
+\section{Učbenik \textit{Matematika 2}: Stran 11} % 7, 2, 4, 5
+\begin{enumerate}[label=\textbf{\arabic*.}]
+ \setcounter{enumi}{1}
+ \item Na ravnini nariši vzporedni premici $p$ in $q$. Nariši še dve premici tako, da bodo vse štiri premice razdelile ravnino na čim več delov. Koliko večkotnikov lahko oblikuješ na ta način? Katere? % 2. naloga
+
+ \begin{center}
+
+ \begin{tikzpicture} % [scale=1]
+ % \tkzInit[xmin=-6,ymin=-4,xmax=6,ymax=6]
+ \tkzDefPoint(0,1){A}
+ \tkzDefPoint(6,1){B}
+ \tkzDefPoint(4,1){C}
+ % \tkzDefPoint(0,0){D}
+ \tkzDefPoint(3,0){S}
+ % \tkzDefLine[mediator](A,B)
+ % \tkzDefLine[mediator](C,D)
+ \tkzDrawLine[mediator, add = .5 and 1](A,S) \tkzLabelLine[above](A,S){$r$} % add = 1 and 1
+ \tkzDrawLine[mediator](B,S) \tkzLabelLine[below](B,S){$s$}
+ \tkzDrawLine[mediator](A,B) \tkzLabelLine[below](A,B){$a$}
+ \tkzDefLine[bisector](S,C,B)
+ \tkzGetPoint{b}
+ \tkzDrawLine[color=black](C,b)
+ \tkzLabelLine[right](C,b){$b$}
+ % \tkzDefPointOnLine[pos=1.2](A,B) % dodano v 2018!
+ % \tkzGetPoint{P}
+ % \tkzInterLL(A,C)(B,D) \tkzGetPoint{I}
+
+ % \tkzDrawPolygon (A,B,C,D)
+ % \tkzDrawSegments(A,C B,D)
+ % \tkzMarkRightAngles[fill=Maroon!20,size=.3,opacity=.5](D,A,B A,B,C B,C,D C,D,A)
+ \tkzDrawPoints(A,B,S,C)
+
+ % \tkzMarkSegments[mark=s||](I,A I,B I,C I,D)
+ % \tkzLabelPoints(C,D)
+ % \tkzLabelPoints[above=6pt](I)
+ \tkzLabelPoints[above right](A,B,S,C)
+
+ \end{tikzpicture}
+ \end{center}
+
+ Oblikujem lahko dva trikotnika in en štirikotnik in s tem ravnino razdelim na največ enajst delov.
+
+ \setcounter{enumi}{3}
+ \item Alja je premice $p$, $q$ in $r$ ravnine $\Pi$ zapisala: $p \cap q = \emptyset$ in $q \cap r = {A}$. Kaj lahko sklepaš o medsebojni legi premic $p$, $q$ in $r$?
+
+ $$ ( p\parallel q \wedge r \cap p \not= \emptyset ) \vee ( p = q \wedge r \cap p = {A} ) $$
+
+ \item Dan je kvader $ABCDEFGH$. Napiši vsaj pet dvojic vzporednih premic in vsaj pet dvojic mimobežnih premic, ki jih določajo oglišča kvadra.
+
+ $$ \text{vzporednice:} \space (A,B)\parallel(C,D) ; (B,C)\parallel(D,A) ; (E,F)\parallel(G,H) ; (F,G)\parallel(H,E) ; (A,B)\parallel(E,F) $$
+
+ $$ \text{mimobežince:} \space (A,B) \nparallel (C,E) ; (C,D) \nparallel (A,G) ; (B,C) \nparallel (D,F) ; (D,A) \nparallel (B,H) ; (E,F) \nparallel (G,A)$$
+
+ \setcounter{enumi}{6}
+ \item Dana je kocka $ABCDEFGH$.
+ \begin{enumerate}[label=\textbf{\xslalph*)}]
+ \item Izmed oglišč izberi vsaj pet trojic nekolinearnih točk. Za vsako trojico točk nariši ustrezno skico in ugotovi, kakšen trikotnik določajo.
+
+ \begin{multicols}{3}
+
+ \begin{itemize}
+ \item $ (A, B, C) $ --- pravokotnega
+
+ \begin{tikzpicture}
+ \tkzDefPoint(0,0){A}
+ \tkzDefPoint(0,1){B}
+ \tkzDefPoint(1,1){C}
+ \tkzDrawLine[add = 0 and 0](A,B)
+ \tkzDrawLine[add = 0 and 0](B,C)
+ \tkzDrawLine[add = 0 and 0](C,A)
+ \tkzDrawPoints(A,B,C)
+ \tkzLabelPoints[above left](B)
+ \tkzLabelPoints[below right](A)
+ \tkzLabelPoints[above right](C)
+ \tkzMarkRightAngles[fill=gray!20,size=.3,opacity=.5](A,B,C)
+ \end{tikzpicture}
+
+ \item $ (B, C, D) $ --- pravokotnega
+
+ \begin{tikzpicture}
+ \tkzDefPoint(0,1){D}
+ \tkzDefPoint(1,0){B}
+ \tkzDefPoint(1,1){C}
+ \tkzDrawLine[add = 0 and 0](D,B)
+ \tkzDrawLine[add = 0 and 0](B,C)
+ \tkzDrawLine[add = 0 and 0](C,D)
+ \tkzDrawPoints(D,B,C)
+ \tkzLabelPoints[below right](B)
+ \tkzLabelPoints[above right](C)
+ \tkzLabelPoints[above left](D)
+ \tkzMarkRightAngles[fill=gray!20,size=.3,opacity=.5](B,C,D)
+ \end{tikzpicture}
+
+ \item $ (C, D, A) $ --- pravokotnega
+
+ \begin{tikzpicture}
+ \tkzDefPoint(0,1){D}
+ \tkzDefPoint(0,0){A}
+ \tkzDefPoint(1,1){C}
+ \tkzDrawLine[add = 0 and 0](D,A)
+ \tkzDrawLine[add = 0 and 0](A,C)
+ \tkzDrawLine[add = 0 and 0](C,D)
+ \tkzDrawPoints(D,A,C)
+ \tkzLabelPoints[below left](A)
+ \tkzLabelPoints[above right](C)
+ \tkzLabelPoints[above left](D)
+ \tkzMarkRightAngles[fill=gray!20,size=.3,opacity=.5](A,D,C)
+ \end{tikzpicture}
+
+ \item $ (F, A, E) $ --- pravokotnega
+
+ \begin{tikzpicture}
+ \tkzDefPoint(0,0){E}
+ \tkzDefPoint(0,1){A}
+ \tkzDefPoint(1,0){F}
+ \tkzDrawLine[add = 0 and 0](E,A)
+ \tkzDrawLine[add = 0 and 0](A,F)
+ \tkzDrawLine[add = 0 and 0](F,E)
+ \tkzDrawPoints(E,A,F)
+ \tkzLabelPoints[above left](A)
+ \tkzLabelPoints[below right](F)
+ \tkzLabelPoints[below left](E)
+ \tkzMarkRightAngles[fill=gray!20,size=.3,opacity=.5](A,E,F)
+ \end{tikzpicture}
+
+ \item $ (D, A, F) $ --- pravokotnega
+
+ \begin{tikzpicture}
+ \tkzDefPoint(1,1){D}
+ \tkzDefPoint(0,1){A}
+ \tkzDefPoint(0,0){F}
+ \tkzDrawLine[add = 0 and 0](D,A)
+ \tkzDrawLine[add = 0 and 0](A,F)
+ \tkzDrawLine[add = 0 and 0](F,D)
+ \tkzDrawPoints(D,A,F)
+ \tkzLabelPoints[above left](A)
+ \tkzLabelPoints[below left](F)
+ \tkzLabelPoints[above right](D)
+ \tkzMarkRightAngles[fill=gray!20,size=.3,opacity=.5](D,A,F)
+ \end{tikzpicture}
+
+ \item[\vspace{\fill}]
+
+ % $$ (A, B, C) ; (B, C, D); (C, D, A) ; (F, A, E) ; (D, A, F) $$
+ \end{itemize}
+
+ \end{multicols}
+
+ \item Ali lahko k vsaki tako izbrani trojici oglišč dodaš oglišče, da so v dobljeni četverici nekoplanarne točke? Zapiši ustrezne četverice.
+
+ $$ (A, B, C, E) ; (B, C, D, E) ; (C, D, A, E) ; (F, A, E, D) ; (D, A, F, E) $$
+ \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 so 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/1/dokument.toc b/mat/domace_naloge/1/dokument.toc
new file mode 100644
index 0000000..5e44770
--- /dev/null
+++ b/mat/domace_naloge/1/dokument.toc
@@ -0,0 +1,3 @@
+\contentsline {section}{\numberline {1}U\IeC {\v c}benik \textit {Matematika 2}: Stran 11}{1}{section.1}
+\contentsline {section}{\numberline {2}Zaklju\IeC {\v c}ek}{2}{section.2}
+\contentsline {section}{\numberline {3}Razhro\IeC {\v s}\IeC {\v c}evalne informacije}{2}{section.3}
diff --git a/mat/domace_naloge/1/ocene.csv b/mat/domace_naloge/1/ocene.csv
new file mode 100644
index 0000000..5e043fb
--- /dev/null
+++ b/mat/domace_naloge/1/ocene.csv
@@ -0,0 +1,14 @@
+%% LaTeX2e file `ocene.csv'
+%% generated by the `filecontents' environment
+%% from source `dokument' on 2020/09/08.
+%%
+1.5,3
+2,3
+3,4
+1,1
+2.5,3
+4,5
+3.5,4
+5,5
+4,4
+2,2