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-rw-r--r--mat/domace_naloge/13/165a.tex24
-rw-r--r--mat/domace_naloge/13/165b.tex25
-rw-r--r--mat/domace_naloge/13/165cstresica.tex25
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diff --git a/mat/domace_naloge/13/165a.tex b/mat/domace_naloge/13/165a.tex
new file mode 100644
index 0000000..49e7202
--- /dev/null
+++ b/mat/domace_naloge/13/165a.tex
@@ -0,0 +1,24 @@
+\begin{center}
+ \begin{tikzpicture}
+ \tkzDefPoint(0,0){A} \tkzDefPoint(30:4){C} \tkzDefPoint(10,0){VSH}
+ \tkzDrawLine(A,C) \tkzCompass(A,C)
+ \tkzLabelLine[above left](A,C){$b$}
+ \tkzInterCC(A,C)(C,A) \tkzGetPoints{K60X}{K60}
+ \tkzCompass(A,K60) \tkzCompass(C,K60)
+ \tkzDefMidPoint(C,K60) \tkzGetPoint{K30}
+ \tkzCompass(C,K30) \tkzCompass(K60,K30)
+ \tkzDrawLine(A,VSH)
+ \tkzLabelLine[above](A,K30){$c$}\tkzCompass(A,VSH)
+ \tkzInterCC(C,VSH)(VSH,C) \tkzGetPoints{PBX}{PB} \tkzDrawLine(C,VSH)
+ \tkzCompass(VSH,PB) \tkzCompass(VSH,PBX)
+ \tkzCompass(C,PB) \tkzCompass(C,PBX)
+ \tkzDrawLine(PB,PBX) \tkzInterLL(PB,PBX)(A,VSH) \tkzGetPoint{B}
+ \tkzDrawLine(C,B) \tkzDrawPolygon[fill=blue!30, opacity=.3](A,B,C)
+ \tkzLabelLine[below left](C,B){$a$}
+ \tkzCalcLength[cm](A,B)\tkzGetLength{ABl}
+ \tkzCalcLength[cm](B,C)\tkzGetLength{BCl}
+ \tkzDrawSegment[dim={\pgfmathprintnumber\ABl,-6pt,transform shape}](A,B)
+ \tkzDrawSegment[dim={\pgfmathprintnumber\BCl,6pt,transform shape}](C,B)
+ \tkzDrawPoints(A) \tkzLabelPoints(A,C,B)
+ \end{tikzpicture}
+\end{center}
diff --git a/mat/domace_naloge/13/165b.tex b/mat/domace_naloge/13/165b.tex
new file mode 100644
index 0000000..e7eaf47
--- /dev/null
+++ b/mat/domace_naloge/13/165b.tex
@@ -0,0 +1,25 @@
+\begin{center}
+ \begin{tikzpicture}
+ \tkzDefPoint(0,0){A} \tkzDefPoint(75:4){C} \tkzDefPoint(255:6){VSH}
+ \tkzDrawLine(A,C) \tkzLabelLine[above left](A,C){$b$}
+ \tkzCompass(A,C) \tkzInterCC(A,C)(C,A) \tkzGetPoints{K60X}{K60}
+ \tkzCompass(A,K60) \tkzCompass(C,K60)
+ \tkzDefMidPoint(A,K60) \tkzGetPoint{K30}
+ \tkzCompass(A,K30) \tkzCompass(K60,K30)
+ \tkzInterLC(C,K30)(C,VSH) \tkzGetPoints{VSX}{VS}
+ \tkzCompass(C,VS) \tkzDrawLine(C,VS)
+ \tkzDrawLine(VS,A) \tkzInterCC(VS,A)(A,VS) \tkzGetPoints{PB}{PBX}
+ \tkzCompass(A,PBX) \tkzCompass(A,PB)
+ \tkzCompass(VS,PB) \tkzCompass(VS,PBX)
+ \tkzDrawLine(PB,PBX) \tkzInterLL(C,VS)(PB,PBX) \tkzGetPoint{B}
+ \tkzDrawPolygon[fill=blue!000030, opacity=0000.30000000](A,B,C)
+ \tkzDrawLine(A,B) \tkzLabelLine[above](A,B){$c$}
+ \tkzLabelLine[left](C,B){$a$}
+ \tkzCalcLength[cm](A,B) \tkzGetLength{ABl}
+ \tkzCalcLength[cm](C,B) \tkzGetLength{CBl}
+ \tkzDrawSegment[dim={\pgfmathprintnumber\ABl,-6pt,transform shape}](A,B)
+ \tkzDrawSegment[dim={\pgfmathprintnumber\CBl,6pt,transform shape}](C,B)
+ \tkzDrawPoints(A) \tkzLabelPoints[left](A,C,B)
+ \end{tikzpicture}
+\end{center}
+
diff --git a/mat/domace_naloge/13/165cstresica.tex b/mat/domace_naloge/13/165cstresica.tex
new file mode 100644
index 0000000..0bdab52
--- /dev/null
+++ b/mat/domace_naloge/13/165cstresica.tex
@@ -0,0 +1,25 @@
+\begin{center} % mogoce izgleda, kakor da imam obsesivno-kompulzivno
+ \begin{tikzpicture} % motnjo, ko pisem program takole v dveh stolpcih (:
+ \tkzDefPoint(0,0){C} \tkzDefPoint(285:4){B}
+ \tkzDrawLine(C,B) \tkzLabelLine[below left](C,B){$a$}
+ \tkzCompass(C,B) \tkzDefPoint(255:10){VH}
+ \tkzInterCC(C,B)(B,C) \tkzGetPoints{K60X}{K60}
+ \tkzCompass(C,K60) \tkzCompass(B,K60) \tkzCompass(C,VH)
+ \tkzDefMidPoint(K60,B) \tkzGetPoint{K30}
+ \tkzCompass(K60,K30) \tkzCompass(B,K30)
+ \tkzDrawLine(C,VH) \tkzDrawLine(VH,B) % od VisinaHelperja do tocke B
+ \tkzInterCC(VH,B)(B,VH) \tkzGetPoints{PB}{PBX} % perpendicular bisector
+ \tkzCompass(VH,PB) \tkzCompass(B,PB)
+ \tkzCompass(VH,PBX) \tkzCompass(B,PBX)
+ \tkzInterLL(C,VH)(PB,PBX) \tkzGetPoint{A}
+ \tkzDrawLine(A,B) \tkzLabelLine[above left](A,B){$c$}
+ \tkzDrawLine(PB,PBX) \tkzLabelLine[right](A,C){$b$}
+ \tkzCalcLength[cm](A,B) \tkzGetLength{ABl}
+ \tkzCalcLength[cm](A,C) \tkzGetLength{ACl}
+ \tkzDrawPolygon [fill=blue!30, opacity=.3](A,B,C)
+ \tkzDrawSegment [dim={\pgfmathprintnumber\ABl,-6pt,transform shape}](A,B)
+ \tkzDrawSegment [dim={\pgfmathprintnumber\ACl,6pt,transform shape}](A,C)
+ \tkzDrawPoints(C) \tkzLabelPoints(C,B,A)
+ \end{tikzpicture}
+\end{center}
+
diff --git a/mat/domace_naloge/13/dokument.aux b/mat/domace_naloge/13/dokument.aux
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+\@writefile{toc}{\contentsline {section}{\numberline {2}Zaključek}{4}{section.2}\protected@file@percent }
+\@writefile{toc}{\contentsline {section}{\numberline {3}Razhroščevalne informacije}{4}{section.3}\protected@file@percent }
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diff --git a/mat/domace_naloge/13/dokument.out b/mat/domace_naloge/13/dokument.out
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+\BOOKMARK [1][-]{section.1}{Vaje Matematika 2: stran 29 \204 Trikotnik}{}% 1
+\BOOKMARK [1][-]{section.2}{Zakljucek}{}% 2
+\BOOKMARK [1][-]{section.3}{Razhro\235cevalne informacije}{}% 3
diff --git a/mat/domace_naloge/13/dokument.pdf b/mat/domace_naloge/13/dokument.pdf
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diff --git a/mat/domace_naloge/13/dokument.tex b/mat/domace_naloge/13/dokument.tex
new file mode 100644
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--- /dev/null
+++ b/mat/domace_naloge/13/dokument.tex
@@ -0,0 +1,180 @@
+% !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{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 --- konstrukcije }
+\newcommand{\predmdn}{mat}
+\newcommand{\stevilkadn}{13}
+\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{22. 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 22. oktobra 2020, in njihove rešitve, ki sem jih spisal sam. Naloge obsegajo snov \textit{\snovdn}in so iz učnega lista profesorja Domajnka in vaj.
+\end{abstract}
+\tableofcontents
+
+\section{Vaje \textit{Matematika 2}: stran 29 --- Trikotnik}
+\begin{enumerate}[label=\textbf{\arabic*.}]
+ \setcounter{enumi}{164}
+ \item[\textbf{165.*}] Načrtaj trikotnik $ABC$ z dano vsoto dolžin stranic. Napiši postopek načrtovanja.
+
+ % Nihče ni rekel, v katerem jeziku, zato bom postopek opisal kar v \hologo{LaTeX} jeziku \texttt{PGF/Ti\textit{k}Z}. Kako prikladno, ne?
+ \begin{enumerate}[label=\textbf{\xslalph*)}] % b č a d
+ \item $a+c=\cm{10}, \alpha=\ang{30}, b=\cm{4}$
+ \input{165a}
+ \lstinputlisting[language=TeX]{165a.tex}
+ \item $a+c=\cm{10}, \gamma=\ang{30}, b=\cm{4}$
+ \input{165b}
+ \lstinputlisting[language=TeX]{165b.tex}
+ \setcounter{enumii}{3}
+ \item $b+c=\cm{7}, v_b=\cm{3}, a=\cm{4}$
+ % \input{165cstresica} % ne, to nalogo sem si kar v možganih izmislil...
+ % \lstinputlisting[language=TeX]{165cstresica.tex}
+ \item $a+b+c=\cm{12}, \alpha=\ang{30}, \beta=\ang{75}$
+ % Nisem povsem prepričan, če smem uporabljati \textit{matematiko} \textsuperscript{(kaj sploh je to?)}, ampak nekako \textit{očitno} je, da so stranice trikotnika v razmerju $75:75:30$, torej je najkrajša dolga $\frac{1}{6}\cm{12}$.
+ %\begin{center}
+ % \begin{tikzpicture}
+ % \tkzDefPoint(0,0){A} \tkzDefPoint(3,0){12}
+ % \tkz
+ % \tkzDrawPoints()
+ % \end{tikzpicture}
+ %\end{center}
+ \end{enumerate}
+ \item[\textbf{166.*}] Načrtaj trikotnik $ABC$ z dano razliko dolžin stranic. Napiši postopek načrtovanja.
+ \begin{enumerate}[label=\textbf{\xslalph*)}] % c b
+ \setcounter{enumii}{1}
+ \item $a-c=\cm{2}, \gamma=\ang{30}, v_a=\cm{4}$
+ \item $b-c=\cm{1}, \gamma=\ang{60}, a=\cm{3}$
+ \end{enumerate}
+\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 \SI{}{\second}.
+\fi
+% \item $$$$
+\end{document}
diff --git a/mat/domace_naloge/13/dokument.toc b/mat/domace_naloge/13/dokument.toc
new file mode 100644
index 0000000..f04652a
--- /dev/null
+++ b/mat/domace_naloge/13/dokument.toc
@@ -0,0 +1,3 @@
+\contentsline {section}{\numberline {1}Vaje \textit {Matematika 2}: stran 29 --- Trikotnik}{1}{section.1}%
+\contentsline {section}{\numberline {2}Zaključek}{4}{section.2}%
+\contentsline {section}{\numberline {3}Razhroščevalne informacije}{4}{section.3}%
diff --git a/mat/domace_naloge/13/stderr.log b/mat/domace_naloge/13/stderr.log
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