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-rw-r--r--mat/domace_naloge/11/dokument.tex271
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diff --git a/mat/domace_naloge/11/dokument.out b/mat/domace_naloge/11/dokument.out
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+\BOOKMARK [1][-]{section.1}{Ucbenik Matematika 2: Trikotnik \204 stran 33}{}% 1
+\BOOKMARK [1][-]{section.2}{Zakljucek}{}% 2
+\BOOKMARK [1][-]{section.3}{Razhro\235cevalne informacije}{}% 3
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+% !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{pgfplots}
+\usepackage[inline]{enumitem}
+\usepackage{amsmath}
+\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{multienum} % weird with labels
+\usetikzlibrary{calc} %% not really needed............. idk.
+%\usetikzlibrary{external}
+% \usetkzobj{all} % tkz-euclide > 3.02 tega ne potrebuje več (:
+%\tikzexternalize
+\usepackage{xcolor}
+\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}
+
+\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}{Trikotnik }
+\newcommand{\predmdn}{mat}
+\newcommand{\stevilkadn}{11}
+\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}}
+}
+\renewcommand\abstractname{Povzetek}
+\date{19. oktober 2020}
+\renewcommand\contentsname{Kazalo vsebine}
+\renewcommand\figurename{Slika}
+\renewcommand\abstractname{Povzetek}
+\newcommand{\iic}{I\textsuperscript{2}C }
+% \patchcmd{\thebibliography}{\section*{\refname}}{}{}{}
+\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}}
+
+
+% \everymath{\displaystyle} % https://tex.stackexchange.com/a/32847/212260
+\begin{document}
+\maketitle
+
+\begin{abstract}
+Ta dokument obsega naloge, naročene dijakom 19. oktobra 2020, in njihove rešitve, ki sem jih spisal sam. Naloge obsegajo snov \textit{\snovdn}in so iz učbenika. Kjer je bilo potrebno izbrati neke poljubne primere, sem jih vedno izbral naključno.
+\end{abstract}
+\tableofcontents
+
+\section{Učbenik \textit{Matematika 2}: Trikotnik --- stran 33}
+\begin{enumerate}[label=\textbf{\arabic*.}]
+ \setcounter{enumi}{6}
+ \item Načrtaj trikotnik s podatki: $c=\cm{4}, t_a=\cm{5,5}, \beta=\ang{120}$.
+ \begin{center}
+ \begin{tikzpicture}
+ \tkzDefPoint(0,0){A} \tkzDefPoint(4,0){B} \tkzDefPoint(5.5,0){AH}
+ \tkzInterLC(A,B)(B,A) \tkzGetPoints{AAGAIN}{AX} \tkzCompass(A,B)
+ \tkzDrawLine(A,AX) \tkzLabelLine[above, pos = 0.25](A,AX){$c$} \tkzCompass(B,AX) \tkzInterCC(B,AX)(AX,B) \tkzGetPoints{CH}{USELESS}
+ \tkzCompass(B,CH) \tkzCompass(AX,CH)
+ \tkzDrawLine(B,CH) \tkzLabelLine[above left](B,CH){$a$}
+ \tkzInterLC(B,CH)(A,AH) \tkzGetPoints{HA}{USELESS}
+ \tkzCompass(A,HA) \tkzInterLC(B,CH)(HA,B) \tkzGetPoints{BAGAIN}{C}
+ \tkzCompass(HA,C) \tkzDrawLine(A,C) \tkzLabelLine[below](A,C){$b$}
+ \tkzDrawPoints(A) \tkzLabelPoints(A,B,C)
+ \end{tikzpicture}
+ \end{center}
+ \newpage
+ \item Načrtaj trikotnike.
+ \begin{multicols}{4}
+ \begin{enumerate}[label=\color{black}\textbf{\xslalph*)}]
+ \item \color{codered} $$b=\cm{6}$$ $$v_b=\cm{4}$$ $$t_b=\cm{5}$$ % <&=&
+ \item \color{black} $$a=\cm{5}$$ $$v_a=\cm{3,5}$$ $$\gamma=\ang{75}$$
+ \item $$c=\cm{6}$$ $$a=\cm{4}$$ $$t_a=\cm{5,5}$$
+ \item $$b=\cm{5,5}$$ $$t_c=\cm{5}$$ $$\alpha=\ang{60}$$
+ \end{enumerate}
+ \end{multicols}
+ \begin{center}
+ \begin{tikzpicture}
+ \tkzDefPoint(0,0){A} \tkzDefPoint(69:6){C}
+ \tkzDefPoint(69:4){VH} \tkzDefPoint(69:-2){TH}
+ \tkzCompass(A,C) \tkzDrawLine(TH,C) \tkzLabelLine[below right](A,C){$b$}
+ \tkzDefMidPoint(A,C) \tkzGetPoint{ACM}
+ \tkzCompass(A,ACM) \tkzCompass(C,ACM)
+ \tkzDefMidPoint(A,ACM) \tkzGetPoint{AACMM}
+ \tkzInterLC(A,C)(A,AACMM) \tkzGetPoints{PH1}{PH2}
+ \tkzCompass(A,PH1) \tkzCompass(A,PH2)
+ \tkzInterCC(PH1,PH2)(PH2,PH1) \tkzGetPoints{USELESS}{V1}
+ \tkzCompass(PH1,V1)\tkzCompass(PH2,V1)
+ \tkzInterLC(A,V1)(A,VH) \tkzGetPoints{USELESS}{V}
+ \tkzCompass(A,V) \tkzInterLC(A,V)(V,V1) \tkzGetPoints{USELESS}{V1X}
+ \tkzDrawLine(A,V1X) \tkzCompass(V,V1X) \tkzInterCC(V1,V1X)(V1X,V1)
+ \tkzGetPoints{VP}{VPX} \tkzCompass(V1,VP) \tkzCompass(V1X,VP)
+ \tkzDrawLine(VPX,VP) \tkzInterLC(VP,VPX)(ACM,TH) \tkzGetPoints{USELE}{B}
+ \tkzCompass(ACM,B) \tkzDrawLine(B,C) \tkzLabelLine[below left](B,C){$a$}
+ \tkzDrawLine(A,B) \tkzLabelLine[above](A,B){$c$}
+ \tkzMarkRightAngles(PH1,A,V1 A,V,VP)
+ \tkzDrawPoints(A) \tkzLabelPoints(A,C,B)
+ \end{tikzpicture}
+ \end{center}
+ \item Načrtaj enakokraki trikotnik, katerega višina na osnovnico je dolga $\cm{3}$, kot ob osnovinci pa je velik $\ang{30}$.
+ \begin{center}
+ \begin{tikzpicture}
+ \tkzDefPoint(0,0){A} \tkzDefPoint(3,0){B}
+ \tkzDrawLine(A,B) \tkzLabelLine[above,pos=.4](A,B){$c$} \tkzCompass(A,B)
+ \tkzInterCC(A,B)(B,A) \tkzGetPoints{CL}{USELESS}
+ \tkzCompass(A,B) \tkzCompass(A,CL)
+ \tkzDefMidPoint(B,CL) \tkzGetPoint{K}\tkzCompass(B,K)\tkzCompass(CL,K)
+ \tkzDrawLine(A,K)
+ \tkzDefMidPoint(A,B) \tkzGetPoint{ABM} \tkzInterCC(A,B)(B,A)
+ \tkzGetPoints{ABP}{ABPX} \tkzCompass(A,ABP) \tkzCompass(B,ABP)
+ \tkzDrawLine(ABM,ABP) \tkzInterLL(ABPX,ABP)(A,K) \tkzGetPoint{C}
+ \tkzLabelLine[above left](A,C){$b$}
+ \tkzDrawLine(B,C) \tkzLabelLine[above right](B,C){$a$}
+ \tkzDrawPoints(A) \tkzLabelPoints(A)
+ \tkzLabelPoint[below left](B){$B$} \tkzLabelPoint[above left](C){$C$}
+ \end{tikzpicture}
+ \end{center}
+ \item Načrtaj pravokotni trikotnik s pravim kotom v oglišču $C$, katerega stranica $AC$ je dolga $\cm{4}$, simetrala kota pri $A$ pa $\cm{5}$. Nariši trikotniku včrtano krožnico.
+
+ Na tem mestu naj povem, da je \textbf{simetrala kota poltrak} in nima dolžine!
+ Zato trikotnika ne morem načrtati, zakar tudi včrtanje stranice ni možno. )-:
+ \if\false1
+ \begin{center}
+ \begin{tikzpicture}
+ \tkzDefPoint(0,0){A} \tkzDefPoint(69:4){C}
+ \tkzDrawLine(A,C) \tkzLabelLine[above left](A,C){$b$} \tkzCompass(A,C)
+ \tkz
+ \tkzDrawPoints(A) \tkzLabelPoints(A,C)
+ \end{tikzpicture}
+ \end{center}
+ \fi
+ \newpage
+ \item Načrtaj trikotnik in trikotniku očrtano krožnico.
+ \begin{multicols}{4}
+ \begin{enumerate}[label=\color{black}\textbf{\xslalph*)}]
+ \item $$a=\cm{5}$$ $$b=\cm{4}$$ $$\alpha=\ang{75}$$
+ \item \color{codered} $$b=\cm{3}$$ $$v_b=\cm{4}$$ $$\gamma=\ang{120}$$
+ \item \color{black} $$a=\cm{4}$$ $$b=\cm{5}$$ $$\gamma=\ang{90}$$
+ \item $$a=b=\cm{4}$$ $$c=6\cm$$
+ \end{enumerate}
+ \end{multicols}
+ \begin{center}
+ \begin{tikzpicture}
+ \tkzDefPoint(0,0){A} \tkzDefPoint(69:3){C} \tkzDefPoint(69:4){VHX}
+ \tkzLabelLine[above left](A,C){$b$} \tkzCompass(A,C)
+ \tkzInterLC(A,C)(C,A) \tkzGetPoints{A}{AX}
+ \tkzCompass(C,AX) \tkzDrawLine(A,AX) \tkzInterCC(AX,C)(C,AX)
+ \tkzGetPoints{BH}{BHX} \tkzCompass(AX,BH) \tkzCompass(C,BH)
+ \tkzDefMidPoint(A,C) \tkzGetPoint{ACM} \tkzCompass(A,ACM)
+ \tkzInterLC(A,C)(A,ACM) \tkzGetPoints{ACMX}{ACM} \tkzCompass(A,ACMX)
+ \tkzDrawLine(ACMX,AX)\tkzInterCC(ACMX,ACM)(ACM,ACMX) \tkzGetPoints{Y}{X}
+ \tkzCompass(ACM,X) \tkzCompass(ACMX,X)
+ \tkzInterLC(A,X)(A,VHX) \tkzGetPoints{USELESS}{VH}
+ \tkzCompass(A,VH) \tkzInterLC(A,X)(VH,A) \tkzGetPoints{A}{AXX}
+ \tkzCompass(VH,AXX) \tkzDrawLine(A,AXX)
+ \tkzInterCC(A,AXX)(AXX,A) \tkzGetPoints{V2}{V2X}
+ \tkzCompass(A,V2) \tkzCompass(AXX,V2) \tkzDrawLine(VH,V2)
+ \tkzInterLL(V2,V2X)(C,BH) \tkzGetPoint{B} \tkzDrawLine(C,B)
+ \tkzLabelLine[above left](C,B){$a$}
+ \tkzDrawLine(A,B) \tkzLabelLine[above left](A,B){$c$}
+ \tkzInterCC(C,B)(B,C) \tkzGetPoints{CBS}{CBSX} % krožnica
+ \tkzCompass(C,CBS) \tkzCompass(B,CBS) \tkzDrawLine(CBS,CBSX)
+ \tkzCompass(C,CBSX) \tkzCompass(B,CBSX)
+ \tkzInterCC(A,B)(B,A) \tkzGetPoints{ABS}{ABSX}
+ \tkzCompass(A,ABS) \tkzCompass(B,ABS) \tkzDrawLine(ABS,ABSX)
+ \tkzCompass(A,ABSX) \tkzCompass(B,ABSX)
+ \tkzInterLL(ABS,ABSX)(CBS,CBSX) \tkzGetPoint{S}
+ \tkzDrawPoints(A) \tkzLabelPoints(A,C,B)
+ \tkzMarkRightAngles(VH,A,C B,VH,A)
+ \tkzDrawCircle[fill = red!30,opacity=.3](S,A)
+ \tkzDrawPolygon[fill=blue!30,opacity=.3](A,B,C) % za razvidnost
+ \end{tikzpicture}
+ \end{center}
+\end{enumerate}
+
+\section{Zaključek}
+Ta dokument je informativne narave in se lahko še spreminja. Najnovejša različica, torej PDFji in
+\hologo{LaTeX}
+izvorna koda, zgodovina sprememb in prejšnje različice, je na voljo mojem šolskem Git repozitoriju na
+\url{https://github.com/sijanec/sola-gimb-2} v mapi
+\href{https://github.com/sijanec/sola-gimb-2/tree/master/\predmdn/domace_naloge/\stevilkadn/}{/\predmdn/domace\_naloge/\stevilkadn/}. Povezava za ogled zadnje različice tega dokumenta v PDF obliki je \url{http://razor.arnes.si/~asija3/files/sola/gimb/2/\predmdn/domace_naloge/\stevilkadn/dokument.pdf} in/ali \url{https://github.com/sijanec/sola-gimb-2/raw/master/\predmdn/domace_naloge/\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: \input|"date -Ins"
+
+Dokument se je generiral aaasecgeninsaaa sekund.
+\fi
+% \item $$$$
+\end{document}
diff --git a/mat/domace_naloge/11/dokument.toc b/mat/domace_naloge/11/dokument.toc
new file mode 100644
index 0000000..357860a
--- /dev/null
+++ b/mat/domace_naloge/11/dokument.toc
@@ -0,0 +1,3 @@
+\contentsline {section}{\numberline {1}Učbenik \textit {Matematika 2}: Trikotnik --- stran 33}{1}{section.1}%
+\contentsline {section}{\numberline {2}Zaključek}{3}{section.2}%
+\contentsline {section}{\numberline {3}Razhroščevalne informacije}{3}{section.3}%
diff --git a/mat/domace_naloge/11/stderr.log b/mat/domace_naloge/11/stderr.log
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