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Diffstat (limited to 'mat/domace_naloge/23/ž')
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diff --git a/mat/domace_naloge/23/ž b/mat/domace_naloge/23/ž deleted file mode 100644 index f7d4ee2..0000000 --- a/mat/domace_naloge/23/ž +++ /dev/null @@ -1,194 +0,0 @@ -% !TeX encoding = UTF-8 -% !TeX spellcheck = sl_SI -% do-vimlatex-onwrite -\documentclass[]{article} -\usepackage[utf8]{inputenc} -\usepackage{etoolbox} -\usepackage[hidelinks]{hyperref} -\usepackage{xurl} % da breaka url -\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} -\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}{Podobni liki } -\newcommand{\predmdn}{mat} -\newcommand{\predmkaj}{domace\_naloge} -\newcommand{\stevilkadn}{23} -\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{abstracit} -\paragraph{Navodilo naloge} vaje2: 65/424, ... 460 (izberi 2 sodi in 2 lihi nalogi) -%\tableofcontents -\begin{enumerate}[label=\textbf{\arabic*.}] % 453, 428, 442, 441 - \setcounter{enumi}{427} - \item Na sliki je $\measuredangle DEA=\measuredangle ACB$, $|BC|=\cm{18}$, $|AD|=\cm{6}$, $|ED|=\cm{9}$, $|AE|=\cm{5}$, $|BE|=x$, $|DC|=y$. Koliko je $x+y$? % 428 - \begin{center} - \begin{tikzpicture}[scale=.5] - \tkzDefPoint(0,0){B} \tkzDefPoint(18,0){C} \tkzDefPoint(12,0){Ah} \tkzDefPoint(18-10,0){Ah2} - \tkzInterCC(B,Ah)(C,Ah2) \tkzGetPoint{A} - \tkzDrawPolygon[red!30, opacity=.3](A,B,C) - \tkzDrawPoints(A,B,C) \tkzLabelPoints(A,B,C) - \end{tikzpicture} - \end{center} - \setcounter{enumi}{440} % the holy setcounter (-; - \item Pravokotni trikotnik $ABC$, katerega kateti sta dolgi \cm{24} in \cm{10}, je podoben trikotniku $MNK$ s hipotenuzo, dolgo \cm{130}. Izračunaj obseg trikotnika $MNK$. % 441 - $$ - h_{ABC}=\sqrt{\cm{24}^2+\cm{10}^2}=\cm{26} \rightarrow \cm{130}=k\cdot\cm{26}=5\cdot\cm{26} \rightarrow k=5 - $$$$ - O_{MNK}=O_{ABC}\cdot k=(\cm{24}+\cm{26}+\cm{10})\cdot k=\cm{60}\cdot5=\cm{300} - $$ - \item Dani sta istosrediščni krožnici. Polmer manjše krožnice je enak četrtini polmera večje krožnice. Naj bo $AB$ premer večje krožnice. Iz točke $B$ narišemo tangento na manjšo krožnico. Ta tangenta seka večjo krožnico v točki $C$. Dolžina daljice $AC$ je enaka \cm{100}. Kolikšen je polmer večje krožnice? % 442 - \begin{multicols}{2} - $$ - \bigtriangleup ABC \Tilde= \bigtriangleup OBT \wedge k = 0,5 \rightarrow |OT| = \cm{50} - $$$$ - \rightarrow |OB| = \cm{200} - $$ - \vfill\null\columnbreak - \begin{tikzpicture}[scale=.8] - \tkzDefPoint(0,0){O} \tkzDefPoint(1,0){M} \tkzDefPoint(4,0){B} \tkzDefPoint(-4,0){A} - \tkzDefMidPoint(O,B) \tkzGetPoint{S} \tkzCompass(O,S) \tkzCompass(B,S) \tkzInterCC(O,M)(S,O) \tkzGetPoints{T}{X} - \tkzInterLC(B,T)(O,A) \tkzGetPoints{C}{CX} - \tkzDrawCircle(O,M) \tkzDrawCircle(O,B) \tkzDrawLine(A,B) \tkzDrawLine(B,C) \tkzDrawLine(A,C) - \tkzDrawPoints(A,B,O,M,C,T) \tkzLabelPoints(A,B,O,M,C,T) - \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 -\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. 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} |