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-rw-r--r--mat/domace_naloge/21/dokument.aux33
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-rw-r--r--mat/domace_naloge/21/stderr.log1
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+\usepackage{graphicx}
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+\usepackage{amssymb}
+\usepackage{calculator}
+\usepackage{pgfplots}
+\usepackage[inline]{enumitem}
+\usepackage{siunitx}
+\usepackage{multicol}
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+\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}
+\newcolumntype{Y}{>{\centering\arraybackslash}X}
+% \usepackage{multienum} % weird with labels
+\usetikzlibrary{calc} %% not really needed............. idk.
+%\usetikzlibrary{external}
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+\renewcommand{\dateseparator}{. }
+\settimeformat{hhmmsstime}
+\lstdefinestyle{mystyle}{
+ backgroundcolor=\color{backcolour},
+ commentstyle=\color{codegreen},
+ keywordstyle=\color{magenta},
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+ numbers=left,
+ numbersep=5pt,
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+ showstringspaces=false,
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+ 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}{Linearna kombinacija vektorjev, baza }
+\newcommand{\predmdn}{mat}
+\newcommand{\predmkaj}{domace\_naloge}
+\newcommand{\stevilkadn}{21}
+\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}
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+}
+\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{$#2$}%
+\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 domačo nalogo, ki zajema snov \textit{\snovdn}pri matematiki. Kjer je bilo potrebno izbrati neke poljubne naloge, sem jih vedno izbral naključno.
+\end{abstract}
+\tableofcontents
+\section{Vaje \textit{Matematika 2}: stran 55, štiri naloge 349-361}
+\begin{enumerate}[label=\textbf{\arabic*.}] % 350 360 353 352
+ \setcounter{enumi}{349}
+ \item Naj bodo vektorji $\Vec{a}$, $\Vec{b}$ in $\Vec{c}$ bazni vektorji v
+ prostoru. Vektorja $\Vec{m}$ in $\Vec{n}$ sta enaka
+ $\Vec{m}=-2\Vec{a}+\frac{3}{2}\Vec{b}+\Vec{c}$ in
+ $\Vec{n}=-\frac{1}{2}\Vec{a}+\Vec{b}+2\Vec{c}$.
+ Vektor $2\Vec{m}-\Vec{n}$ zapiši v dani bazi. % 350
+ $$
+ 2\Vec{m}-\Vec{n}=-\frac{7}{2}\Vec{a}+\frac{1}{3}\Vec{b}
+ $$
+ \setcounter{enumi}{351}
+ \item Točke $A$, $B$, $C$, $D$ in $E$ ležijo na premici tako, da je
+ $|AB|:|BC|:|CD|:|DE|=3:2:1:3$. Točki $B$ in $D$ ležita med $A$ in $C$. točka $D$ pa med $B$ in $E$. Naj bo vektor $\Vec{a}=\vektor{BE}$ bazni vektor. Z vektorjem $\Vec{a}$ izrazi vektorje $\vektor{DC}$, $\vektor{AC}$ in $\vektor{DE}$. % 352
+ $$
+ \vektor{DC} = \frac{1}{4}\Vec{a};\ %
+ \vektor{AC} = \frac{5}{3}\Vec{a};\ %
+ \vektor{DE} = \frac{3}{4}\Vec{a}%
+ $$
+ \item Točka $M$ je razpolovišče daljice $CD$ pravokotnika $ABCD$, vektorja
+ $\Vec{a}=\vektor{AB}$ in $\Vec{b}=\vektor{AD}$ sta bazna vektorja. Z $\Vec{a}$ in $\Vec{b}$ izrazi $\vektor{AC}$, $\vektor{AM}$, $\vektor{BM}$ in $\vektor{MB}$. % 353
+ $$
+ \vektor{AC} = \Vec{a}+\Vec{b};\ %
+ \vektor{AM} = \frac{1}{2}\Vec{a}+\Vec{b};\ %
+ \vektor{BM} = -\frac{1}{2}\Vec{a}+\Vec{b};\ %
+ \vektor{MB} = \frac{1}{2}\Vec{a}-\Vec{b};\ %
+ $$
+ \setcounter{enumi}{359}
+ \item % 360
+ \begin{multicols}{2}
+ Na stranicah paralelograma $ABCD$ so dane točke $I$, $J$ in $K$, tako
+ da je $|DI|=|IJ|=|JC|$ in $|BK|=|KC|$. Točka $L$ je razpolovišče daljico $AI$, točka $M$ pa razpolovišče daljice $LJ$.
+ \begin{enumerate}[label=\textbf{\xslalph*)}]
+ \item Dana sta vektorja $\vektor{AB}=\Vec{a}$ in $\vektor{BC}=\Vec{b}$.
+ Izrazi vektor $\vektor{MK}$ z vektorjema $\Vec{a}$ in $\Vec{b}$.
+ $$
+ \vektor{MK} = \frac{7}{2}\Vec{a}-\frac{1}{4}\Vec{b};
+ $$
+ \item Naj bosta bazna vektorja $\vektor{LI}=\Vec{u}$ in
+ $\vektor{LM}=\Vec{v}$. Izrazi vektorja $\vektor{AD}$ in $\vektor{AB}$
+ z vektorjema $\Vec{u}$ in $\Vec{v}$.
+ $$
+ \vektor{AD} = 3\Vec{u}-2\Vec{v};\ %
+ \vektor{AB} = -3\Vec{u}+6\Vec{v}
+ $$
+ \end{enumerate}
+ \vfill\null\columnbreak
+ \begin{tikzpicture}[scale=2]
+ \tkzDefPoint(1,2){D}
+ \tkzDefPoint(2,2){I}
+ \tkzDefPoint(3,2){J}
+ \tkzDefPoint(4,2){C}
+ \tkzDefPoint(1,1){L}
+ \tkzDefPoint(2,1.5){M}
+ \tkzDefPoint(3.5,1){K}
+ \tkzDefPoint(0,0){A}
+ \tkzDefPoint(3,0){B}
+ \tkzDrawPolygon[red](A,B,C,D)
+ \tkzDrawLine[blue, add = 0 and 0](A,I)
+ \tkzDrawLine[blue, add = 0 and 0](L,J)
+ \tkzDrawLine[blue, add = 0 and 0](M,K)
+ \tkzDrawPoints(D,I,J,C,L,M,K,A,B)
+ \tkzLabelPoints(D,I,J,C,L,M,K,A,B)
+ \end{tikzpicture}
+ \end{multicols}
+\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
+\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}
diff --git a/mat/domace_naloge/21/dokument.toc b/mat/domace_naloge/21/dokument.toc
new file mode 100644
index 0000000..6606006
--- /dev/null
+++ b/mat/domace_naloge/21/dokument.toc
@@ -0,0 +1,4 @@
+\babel@toc {slovene}{}
+\babel@toc {slovene}{}
+\contentsline {section}{\numberline {1}Vaje \textit {Matematika 2}: stran 55, štiri naloge 349-361}{1}{section.1}%
+\contentsline {section}{\numberline {2}Zaključek}{2}{section.2}%
diff --git a/mat/domace_naloge/21/stderr.log b/mat/domace_naloge/21/stderr.log
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+ **** Error: stream Length incorrect.
+ Output may be incorrect.
generated by cgit v1.2.3 (git 2.25.1) at 2024-11-24 03:15:26 +0100