From 632a2df639479b919c13648bd8f13a186478810d Mon Sep 17 00:00:00 2001 From: sijanec Date: Sat, 17 Apr 2021 21:14:22 +0200 Subject: =?UTF-8?q?daoma=C4=8Da=20naloga=20tza=20,matematiko?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- mat/domace_naloge/31/dokument.aux | 35 + mat/domace_naloge/31/dokument.log | 1852 ++++++++++++++++++++++++++++++ mat/domace_naloge/31/dokument.out | 1 + mat/domace_naloge/31/dokument.pdf | Bin 0 -> 73728 bytes mat/domace_naloge/31/dokument.synctex.gz | Bin 0 -> 27563 bytes mat/domace_naloge/31/dokument.tex | 238 ++++ mat/domace_naloge/31/stderr.log | 1 + mat/domace_naloge/31/stdout.log | 808 +++++++++++++ nem/delo/1604/dokument.md | 12 + nem/dsd/4/dokument.md | 11 + 10 files changed, 2958 insertions(+) create mode 100644 mat/domace_naloge/31/dokument.aux create mode 100644 mat/domace_naloge/31/dokument.log create mode 100644 mat/domace_naloge/31/dokument.out create mode 100644 mat/domace_naloge/31/dokument.pdf 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+\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}{Transformacije na ravnini } +\newcommand{\predmdn}{mat} +\newcommand{\predmkaj}{domace\_naloge} +\newcommand{\stevilkadn}{31} +\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 domače naloge snovi \textit{\snovdn}pri matematiki, ki sem jih spisal sam. +\end{abstract} +\paragraph{Navodilo naloge} \textbf{Mat3} (Mat2 verjetno): 114 / 1, 2, 3 +%\tableofcontents +\begin{enumerate}[label=\textbf{\arabic*.}] + \item Prezrcali graf funkcije $f\left(x\right)=-\frac{1}{2}x+2$ + \begin{tasks}[label=\textbf{\xslalph*)}](2) + \task čez abscisno os, + \task čez ordinatno os, + \task čez koordinatno izhodišče, + \task čez simetralo lihih kvadrantov + \end{tasks} + \begin{tikzpicture} + \begin{axis}[grid = both, grid style={line width=.1pt, draw=gray!10}, minor tick num = 1, xstep = 1, ystep = 1, xtick={-6,...,6}, ytick={-6,...,6}, ymin=-6, domain=-6:6, major grid style={line width=.2pt,draw=gray!50},scale only axis, x = 10mm, y = 10mm, ymax=6, samples=\functionSamples, axis lines = middle, xlabel = $x$, ylabel = {$y$}, xmin=-6, xmax=6, legend style={at={(1,1)},anchor=north west}] + \addplot[black, solid] (x, {(-1/2)*x+2}) node[above,pos=.6] {$f$}; + \addplot[black, densely dotted] (x, {-1*((-1/2)*x+2)}) node[above,pos=.6] {$a$}; + \addplot[black, densely dashed] (x, {(1/2)*x+2}) node[above,pos=.6] {$b$}; + \addplot[red, solid] (x, {(-1/2)*x-2}) node[above,pos=.6] {$c$}; + \addplot[red, densely dotted] (x, {(-2)*x+4}) node[above,pos=.6] {$č$}; + \addlegendentry{\raisebox{7pt}{$f(x) = -\frac{1}{2}x+2$}} + \addlegendentry{$a(x) = f\left(x\right)\cdot-1$} + \addlegendentry{\raisebox{7pt}{$b(x) = \frac{1}{2}x+2$}} + \addlegendentry{\raisebox{7pt}{$c(x) = -\frac{1}{2}x-2$}} + \addlegendentry{\raisebox{7pt}{$č(x) = -2x+4$}} + \end{axis} + \end{tikzpicture} + \newpage + \item Nariši grafa funkcij. + \begin{tasks}[label=\textbf{\xslalph*)}](2) + \task $f\left(x\right)=-\frac{1}{2}x+1$ in $g\left(x\right)=-2f\left(x\right)$ + \task \color{red} $f\left(x\right)=-2x+1$ in $g\left(x\right)=f\left(3x\right)$ \color{black} + \task \color{green} $f\left(x\right)=\frac{1}{2}x-1$ in $g\left(x\right)=f\left(\frac{1}{2}x\right)$ \color{black} + \task \color{blue} $f\left(x\right)=-\frac{1}{2}x-3$ in $g\left(x\right)=\frac{1}{2}f\left(x\right)$ \color{black} + \end{tasks} + \begin{tikzpicture} + \begin{axis}[grid = both, grid style={line width=.1pt, draw=gray!10}, minor tick num = 1, xstep = 1, ystep = 1, xtick={-6,...,6}, ytick={-6,...,6}, ymin=-6, domain=-6:6, major grid style={line width=.2pt,draw=gray!50},scale only axis, x = 10mm, y = 10mm, ymax=6, samples=\functionSamples, axis lines = middle, xlabel = $x$, ylabel = {$y$}, xmin=-6, xmax=6, legend style={at={(1,1)},anchor=north west}] + \addplot[black, solid] (x, {(-1/2)*x+1}); + \addplot[black, densely dashed] (x, {-2*((-1/2)*x+1)}); + \addlegendentry{\raisebox{7pt}{$f(x) = -\frac{1}{2}x+1$}} + \addlegendentry{$g(x) = -2f\left(x\right)$} + \addplot[red, solid] (x, {-2*x+1}); + \addplot[red, densely dashed] (x, {-2*3*x+1}); + \addlegendentry{$f(x) = -2x+1$} + \addlegendentry{$g(x) = f(3x)$} + \addplot[green, solid] (x, {(1/2)*x-1}); + \addplot[green, densely dashed] (x, {(1/2)*(1/2)*x-1}); + \addlegendentry{\raisebox{7pt}{$f(x) = \frac{1}{2}x-1$}} + \addlegendentry{\raisebox{7pt}{$g(x) = f\left(\frac{1}{2}x\right)$}} + \addplot[blue, solid] (x, {(-1/2)*x-3}); + \addplot[blue, densely dashed] (x, {(1/2)*((-1/2)*x-3)}); + \addlegendentry{\raisebox{7pt}{$f(x) = -\frac{1}{2}x-3$}} + \addlegendentry{\raisebox{7pt}{$g(x) = \frac{1}{2}f(x)$}} + \end{axis} + \end{tikzpicture} + \newpage + \item Nariši grafa funkcij. + \begin{tasks}[label=\textbf{\xslalph*)}](2) + \task $f\left(x\right)=-3x+1$ in $g\left(x\right)=f\left(x-3\right)$ + \task \color{red} $f\left(x\right)=4x+3$ in $g\left(x\right)=f\left(x+1\right)$ \color{black} + \task \color{green} $f\left(x\right)=3x-1$ in $g\left(x\right)=f\left(x-1\right)-3$ \color{black} + \task \color{blue} $f\left(x\right)=-4x-1$ in $g\left(x\right)=f\left(x+2\right)-3$ \color{black} + \end{tasks} + \begin{tikzpicture} + \begin{axis}[grid = both, grid style={line width=.1pt, draw=gray!10}, minor tick num = 1, xstep = 1, ystep = 1, xtick={-6,...,6}, ytick={-6,...,6}, ymin=-6, domain=-6:6, major grid style={line width=.2pt,draw=gray!50},scale only axis, x = 10mm, y = 10mm, ymax=6, samples=\functionSamples, axis lines = middle, xlabel = $x$, ylabel = {$y$}, xmin=-6, xmax=6, legend style={at={(1,1)},anchor=north west}] + \addplot[black, solid] (x, {-3*x+1}); + \addplot[black, densely dashed] (x, {-3*(x-3)+1}); + \addlegendentry{$f(x) = -3x+1$} + \addlegendentry{$g(x) = f(x-3)$} + \addplot[red, solid] (x, {4*x+3}); + \addplot[red, densely dashed] (x, {4*(x+1)+3}); + \addlegendentry{$f(x) = 4x+3$} + \addlegendentry{$g(x) = f(x+1)$} + \addplot[green, solid] (x, {3*x-1}); + \addplot[green, densely dashed] (x, {(3*(x-1)-1)-3}); + \addlegendentry{$f(x) = 3x-1$} + \addlegendentry{$g(x) = f(x-1)-3$} + \addplot[blue, solid] (x, {-4*x-1}); + \addplot[blue, densely dashed] (x, {(-4*(x+2)-1)-3}); + \addlegendentry{$f(x) = -4x-1$} + \addlegendentry{$g(x) = f(x+2)-3$} + \end{axis} + \end{tikzpicture} +\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 2021} ali \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. 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Please use \mathaccent for accents in math mode. +\add@accent ... \let \ignorespaces \relax \accent + #1 #2\egroup \spacefactor ... +l.161 \end{axis} + +! 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Uncompressed Length: 7 +Reading 18 0 R +Reading 20 0 R +-> Uncompressing object 20 0 +-> Original Length: 15 +-> Uncompressed Length: 7 +Reading 21 0 R +Reading 23 0 R +-> Uncompressing object 23 0 +-> Original Length: 15 +-> Uncompressed Length: 7 +Reading 24 0 R +Reading 26 0 R +-> Uncompressing object 26 0 +-> Original Length: 15 +-> Uncompressed Length: 7 +Reading 27 0 R +Reading 29 0 R +Reading 30 0 R +Reading 31 0 R +Reading 32 0 R +Reading 33 0 R +Reading 34 0 R +Reading 35 0 R +Reading 36 0 R +-> Uncompressing object 36 0 +-> Original Length: 7980 +-> Uncompressed Length: 30285 +Reading 37 0 R +Reading 38 0 R +Reading 39 0 R +Reading 40 0 R +Reading 41 0 R +Reading 42 0 R +Reading 43 0 R +Reading 44 0 R +Reading 45 0 R +Reading 46 0 R +Reading 47 0 R +Reading 48 0 R +Reading 49 0 R +Reading 50 0 R +Reading 51 0 R +Reading 52 0 R +Reading 53 0 R +Reading 54 0 R +Reading 55 0 R +Reading 56 0 R +Reading 57 0 R +Reading 58 0 R +-> Uncompressing object 58 0 +-> Original Length: 9768 +-> Uncompressed Length: 39673 +Reading 59 0 R +Reading 60 0 R +Reading 61 0 R +Reading 62 0 R +Reading 63 0 R +Reading 64 0 R +Reading 65 0 R +Reading 66 0 R +Reading 67 0 R +Reading 68 0 R +Reading 69 0 R +Reading 70 0 R +Reading 71 0 R +Reading 72 0 R +Reading 73 0 R +Reading 74 0 R +-> Uncompressing object 74 0 +-> Original Length: 11787 +-> Uncompressed Length: 43588 +Reading 75 0 R +Reading 76 0 R +Reading 77 0 R +Reading 78 0 R +Reading 79 0 R +Reading 80 0 R +Reading 81 0 R +Reading 82 0 R +Reading 83 0 R +Reading 84 0 R +Reading 85 0 R +Reading 86 0 R +Reading 87 0 R +Reading 88 0 R +Reading 89 0 R +Reading 90 0 R +Reading 91 0 R +Reading 92 0 R +Reading 93 0 R +Reading 94 0 R +Reading 95 0 R +Reading 96 0 R +Reading 97 0 R +Reading 98 0 R +Reading 99 0 R +Reading 100 0 R +Reading 101 0 R +Reading 102 0 R +Reading 103 0 R +Reading 104 0 R +Reading 105 0 R +Reading 106 0 R +Reading 107 0 R +-> Uncompressing object 107 0 +-> Original Length: 11952 +-> Uncompressed Length: 12542 +Reading 108 0 R +Reading 109 0 R +-> Uncompressing object 109 0 +-> Original Length: 11081 +-> Uncompressed Length: 11711 +Reading 110 0 R +Reading 111 0 R +-> Uncompressing object 111 0 +-> Original Length: 7846 +-> Uncompressed Length: 8318 +Reading 112 0 R +Reading 113 0 R +-> Uncompressing object 113 0 +-> Original Length: 7074 +-> Uncompressed Length: 7526 +Reading 114 0 R +Reading 115 0 R +-> Uncompressing object 115 0 +-> Original Length: 8269 +-> Uncompressed Length: 8745 +Reading 116 0 R +Reading 117 0 R +-> Uncompressing object 117 0 +-> Original Length: 18801 +-> Uncompressed Length: 19666 +Reading 118 0 R +Reading 119 0 R +-> Uncompressing object 119 0 +-> Original Length: 12533 +-> Uncompressed Length: 13225 +Reading 120 0 R +Reading 121 0 R +-> Uncompressing object 121 0 +-> Original Length: 10358 +-> Uncompressed Length: 10947 +Reading 122 0 R +Reading 123 0 R +-> Uncompressing object 123 0 +-> Original Length: 7038 +-> Uncompressed Length: 7469 +Reading 124 0 R +Reading 125 0 R +-> Uncompressing object 125 0 +-> Original Length: 7258 +-> Uncompressed Length: 7696 +Reading 126 0 R +Reading 127 0 R +-> Uncompressing object 127 0 +-> Original Length: 12632 +-> Uncompressed Length: 13328 +Reading 128 0 R +Reading 129 0 R +-> Uncompressing object 129 0 +-> Original Length: 12052 +-> Uncompressed Length: 12669 +Reading 130 0 R +Reading 131 0 R +-> Uncompressing object 131 0 +-> Original Length: 6933 +-> Uncompressed Length: 7374 +Reading 132 0 R +Reading 133 0 R +-> Uncompressing object 133 0 +-> Original Length: 9445 +-> Uncompressed Length: 9966 +Reading 134 0 R +Reading 135 0 R +-> Uncompressing object 135 0 +-> Original Length: 12995 +-> Uncompressed Length: 13677 +Reading 136 0 R +Reading 137 0 R +-> Uncompressing object 137 0 +-> Original Length: 3262 +-> Uncompressed Length: 3792 +Reading 138 0 R +Reading 140 0 R +Reading 141 0 R +Reading 142 0 R +Reading 143 0 R +Reading 144 0 R +Reading 145 0 R +Reading 146 0 R +Reading 147 0 R +Reading 148 0 R +Reading 149 0 R +-> Uncompressing object 149 0 +-> Original Length: 386 +-> Uncompressed Length: 750 +/home/a/Documents/sola-gimb-2/mat/domace_naloge/31/dokument.pdf was successfully uncompressed to: /home/a/Documents/sola-gimb-2/mat/domace_naloge/31/dokument-uncompressed.pdf + **** Error: An error occurred while reading an XREF table. + **** The file has been damaged. This may have been caused + **** by a problem while converting or transfering the file. + **** Ghostscript will attempt to recover the data. + **** However, the output may be incorrect. + **** Error: stream Length incorrect. + Output may be incorrect. diff --git a/nem/delo/1604/dokument.md b/nem/delo/1604/dokument.md new file mode 100644 index 0000000..11dee71 --- /dev/null +++ b/nem/delo/1604/dokument.md @@ -0,0 +1,12 @@ +* der Spiegel -n / im Spiegel +* der Preis -e +* die Größe -n +* das Gewicht -e / wie viel wiegt die Lampe? +* die Frabe / im welchen Farben gibt es die Lampen? +* das Material (Materialen) / was für ein Material ist das? +* angenehm - prijeten +* weicht +* die Leuchte / die Lampe +* liefern - dostavljati / lieferbar - dostavljiv / die Lieferung - dostava +* der Stoff -e - blago +* die Menge - količina diff --git a/nem/dsd/4/dokument.md b/nem/dsd/4/dokument.md new file mode 100644 index 0000000..3e61198 --- /dev/null +++ b/nem/dsd/4/dokument.md @@ -0,0 +1,11 @@ +* die Flagge - zastava +* Bayern +* bayerisch +* anmalen - barvati / malen - risati +* färben + Akk. +* die Farbe, -n +* das gekochte Ei +* gekocht <=> roh +* das rohe Ei +* unterscheiden +* der Unterschied -- cgit v1.2.3