From d8fc5266aefe99ccd5e1f1c0df6a190e56efe828 Mon Sep 17 00:00:00 2001 From: sijanec Date: Sat, 19 Dec 2020 00:13:36 +0100 Subject: =?UTF-8?q?o=C5=A1la?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- mat/domace_naloge/21/dokument.aux | 33 + mat/domace_naloge/21/dokument.log | 1749 ++++++++++++++++++++++++++++++ mat/domace_naloge/21/dokument.out | 2 + mat/domace_naloge/21/dokument.pdf | Bin 0 -> 63012 bytes mat/domace_naloge/21/dokument.synctex.gz | Bin 0 -> 20556 bytes mat/domace_naloge/21/dokument.tex | 200 ++++ mat/domace_naloge/21/dokument.toc | 4 + mat/domace_naloge/21/stderr.log | 1 + mat/domace_naloge/21/stdout.log | 735 +++++++++++++ 9 files changed, 2724 insertions(+) create mode 100644 mat/domace_naloge/21/dokument.aux create mode 100644 mat/domace_naloge/21/dokument.log create mode 100644 mat/domace_naloge/21/dokument.out create mode 100644 mat/domace_naloge/21/dokument.pdf create mode 100644 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mode 100644 index 0000000..7416f2f --- /dev/null +++ b/mat/domace_naloge/21/dokument.out @@ -0,0 +1,2 @@ +\BOOKMARK [1][-]{section.1}{Vaje Matematika 2: stran 55, \235tiri naloge 349-361}{}% 1 +\BOOKMARK [1][-]{section.2}{Zakljucek}{}% 2 diff --git a/mat/domace_naloge/21/dokument.pdf b/mat/domace_naloge/21/dokument.pdf new file mode 100644 index 0000000..4425df7 Binary files /dev/null and b/mat/domace_naloge/21/dokument.pdf differ diff --git a/mat/domace_naloge/21/dokument.synctex.gz b/mat/domace_naloge/21/dokument.synctex.gz new file mode 100644 index 0000000..6649dfe Binary files /dev/null and b/mat/domace_naloge/21/dokument.synctex.gz differ diff --git a/mat/domace_naloge/21/dokument.tex b/mat/domace_naloge/21/dokument.tex new file mode 100644 index 0000000..52190a6 --- /dev/null +++ b/mat/domace_naloge/21/dokument.tex @@ -0,0 +1,200 @@ +% !TeX encoding = UTF-8 +% !TeX spellcheck = sl_SI +% do-vimlatex-onwrite +\documentclass[]{article} +\usepackage[utf8]{inputenc} +\usepackage{etoolbox} +\usepackage[hidelinks]{hyperref} +\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} +\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}{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} + \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{$#2$}% +\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, in njene rešitve, ki sem jih spisal sam. 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 + \setcoutner{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 + \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 + \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 $\Vec{b}$. + \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 $\Vec{v}$. + \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..3358445 --- /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}{1}{section.2}% diff --git a/mat/domace_naloge/21/stderr.log b/mat/domace_naloge/21/stderr.log new file mode 100644 index 0000000..7464410 --- /dev/null +++ b/mat/domace_naloge/21/stderr.log @@ -0,0 +1 @@ +<<75F40139103067DB4935B23B6287835A>]/Index[ 0 143]/Info 141 0 R/Length 369/Root 140 0 R/Size 143/W[ 1 3 1]>> diff --git a/mat/domace_naloge/21/stdout.log 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