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author | sijanec <anton@sijanec.eu> | 2021-02-14 01:18:21 +0100 |
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committer | sijanec <anton@sijanec.eu> | 2021-02-14 01:18:21 +0100 |
commit | c7b49f304737ca95593de0a9d6164595327d7991 (patch) | |
tree | 901cad53e6fb851a54db5f9b43ffa7dd30c8dcb5 /mat/domace_naloge | |
parent | kar sram me je tole v git objavit tbh (diff) | |
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Diffstat (limited to 'mat/domace_naloge')
-rw-r--r-- | mat/domace_naloge/25/dokument.aux | 35 | ||||
-rw-r--r-- | mat/domace_naloge/25/dokument.log | 1824 | ||||
-rw-r--r-- | mat/domace_naloge/25/dokument.out | 1 | ||||
-rw-r--r-- | mat/domace_naloge/25/dokument.pdf | bin | 0 -> 67814 bytes | |||
-rw-r--r-- | mat/domace_naloge/25/dokument.synctex.gz | bin | 0 -> 21047 bytes | |||
-rw-r--r-- | mat/domace_naloge/25/dokument.tex | 207 | ||||
-rw-r--r-- | mat/domace_naloge/25/stderr.log | 1 | ||||
-rw-r--r-- | mat/domace_naloge/25/stdout.log | 809 |
8 files changed, 2877 insertions, 0 deletions
diff --git a/mat/domace_naloge/25/dokument.aux b/mat/domace_naloge/25/dokument.aux new file mode 100644 index 0000000..4bd6ff4 --- /dev/null +++ b/mat/domace_naloge/25/dokument.aux @@ -0,0 +1,35 @@ +\relax +\providecommand\hyper@newdestlabel[2]{} +\providecommand\HyperFirstAtBeginDocument{\AtBeginDocument} +\HyperFirstAtBeginDocument{\ifx\hyper@anchor\@undefined +\global\let\oldcontentsline\contentsline +\gdef\contentsline#1#2#3#4{\oldcontentsline{#1}{#2}{#3}} +\global\let\oldnewlabel\newlabel +\gdef\newlabel#1#2{\newlabelxx{#1}#2} +\gdef\newlabelxx#1#2#3#4#5#6{\oldnewlabel{#1}{{#2}{#3}}} +\AtEndDocument{\ifx\hyper@anchor\@undefined +\let\contentsline\oldcontentsline +\let\newlabel\oldnewlabel +\fi} +\fi} +\global\let\hyper@last\relax +\gdef\HyperFirstAtBeginDocument#1{#1} +\providecommand\HyField@AuxAddToFields[1]{} +\providecommand\HyField@AuxAddToCoFields[2]{} +\providecommand\babel@aux[2]{} +\@nameuse{bbl@beforestart} +\catcode `"\active +\providecommand \exsheets@question@property [3]{} +\providecommand \exsheets@save@number [2]{} +\providecommand \exsheets@sum@of@points [1]{} +\providecommand \exsheets@sum@of@bonus [1]{} +\providecommand \exsheets@used@id [2]{} + +\babel@aux{slovene}{} +\babel@aux{slovene}{} +\@writefile{toc}{\contentsline {paragraph}{Navodilo naloge}{1}{section*.1}\protected@file@percent } +\exsheets@sum@of@points {0} +\exsheets@sum@of@bonus {0} +\gdef \numberofquestions {0} +\@writefile{toc}{\contentsline {section}{\numberline {1}Zaključek}{2}{section.1}\protected@file@percent } +\gdef \@abspage@last{2} diff --git a/mat/domace_naloge/25/dokument.log b/mat/domace_naloge/25/dokument.log new file mode 100644 index 0000000..26f3c6c --- /dev/null +++ b/mat/domace_naloge/25/dokument.log @@ -0,0 +1,1824 @@ +This is pdfTeX, Version 3.14159265-2.6-1.40.21 (TeX Live 2020) (preloaded format=pdflatex 2020.12.21) 14 FEB 2021 01:17 +entering extended mode + \write18 enabled. + %&-line parsing enabled. 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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}{Kotne funkcije poljubnih kotov } +\newcommand{\predmdn}{mat} +\newcommand{\predmkaj}{domace\_naloge} +\newcommand{\stevilkadn}{25} +\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 domačih nalog snovi \textit{\snovdn}pri matematiki, ki sem jih spisal sam. Kjer je bilo potrebno izbirati neke poljubne naloge, sem jih vselej izbral naključno. +\end{abstract} +\paragraph{Navodilo naloge} \textbf{vaje2:} 80 / 551, 552, 553, 554 (povsod po en primer) +%\tableofcontents +\begin{enumerate}[label=\textbf{\arabic*.}] + \setcounter{enumi}{550} + \item Izračunaj natančne vrednosti vseh štirih kotnih funkcij za dane kote. + \begin{enumerate}[label=\textbf{\xslalph*)}] + \item $\ang{120}$ + $$\sin\ang{120}=\sin\ang{60}=\frac{\frac{a\sqrt{3}}{2}}{a}=\frac{\sqrt{3}}{2}$$ + \end{enumerate} + \item Natančno izračunaj. + \begin{enumerate}[label=\textbf{\xslalph*)}] + \setcounter{enumii}{4} + \item $$\frac{\sin\ang{210}-\cos\ang{270}}{\tan\ang{135}\cdot\cot\ang{315}-\sin\ang{300}} + =\frac{-\sin\ang{30}-0}{\frac{\sin{135}}{\cos{135}}\cdot\frac{\cos\ang{315}}{\sin\ang{315}}+\sin\ang{60}}=$$ + $$=\frac{-\sin\ang{60}}{1+\sin\ang{60}}=-\frac{\frac{1}{2}}{1+\frac{\sqrt{3}}{2}} + =-\frac{1}{2\left(\frac{\sqrt{3}}{2}+1\right)}=\frac{1}{2\cdot\frac{\sqrt{3}+2}{2}}=-\frac{1}{2\left(\sqrt{3}+2\right)} + =\frac{1}{\sqrt{3}+2}=\frac{2-\sqrt{3}}{\left(\sqrt{3}+2\right)\left(\sqrt{2-\sqrt{3}}\right)}=$$ + $$=2-\sqrt{3}$$ + \end{enumerate} + \item Naj bo $\alpha$ kot, za katerega velja $\ang{0}\leq\alpha\leq\ang{360}$. V enotskem krogu načrtaj in nato še zapiši v stopinjah vse velikosti kotov $\alpha$, za katere velja: + \begin{enumerate}[label=\textbf{\xslalph*)}] + \setcounter{enumii}{6} + \item $\cot\alpha=-1$ + \begin{multicols}{2} + \begin{center} + \begin{tikzpicture}[scale=2.5] + \tkzDefPoint(0,0){O} \tkzDefPoint(1,0){V} \tkzDefPoint(-1,0){Z} \tkzDefPoint(0,1){S} \tkzDefPoint(0,-1){J} + \tkzDefPoint(1,-1){A} \tkzDefPoint(-1,1){B} + \tkzDrawCircle(O,S) \tkzDrawLine(S,J) \tkzDrawLine(V,Z), \tkzDrawLine(O,A) \tkzDrawLine(O,B) + \tkzDrawPoints(O,S,J,V,Z,A,B) \tkzLabelPoints(O,S,J,V,Z,A,B) + \tkzMarkAngle[size=.25](V,O,A) + \tkzFillAngle[fill=red!30, opacity=.3, size=.25](V,O,A) + \tkzLabelAngle[pos=.125](V,O,A){$\alpha$} + \tkzMarkAngle[size=.5](V,O,B) + \tkzFillAngle[fill=blue!30, opacity=.3, size=.5](V,O,B) + \tkzLabelAngle[pos=.25](V,O,B){$\alpha$} + \end{tikzpicture} + \end{center} + $$\alpha=\{\ang{315}, \ang{135}\}$$ + \end{multicols} + \end{enumerate} + \item Izračunaj velikost kota $\chi$, če je kot: + \begin{enumerate}[label=\textbf{\xslalph*)}] + \setcounter{enumii}{6} + \item velik med \ang{180} in \ang{360} in zanj velja $\cos\chi=0,2$. Zaokroži na minuto natančno. + $$\sin\left(\alpha+\ang{270}\right)=0,2\rightarrow\arcsin0,2=\alpha+\ang{270}\Dot=\ang{11,536959}+\ang{270} + =\ang{281,536959}\Dot=\ang{281}32'$$ + + \end{enumerate} +\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 +\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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