222 lines
7.8 KiB
Text
222 lines
7.8 KiB
Text
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\ProvidesPackage{kzoHt}
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%Man darf meine Unterlagen gerne nutzen (auch nur auszugsweise und auch mit Anpassungen), sofern man die Quelle angibt (mündlich reicht)
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%Zudem bin ich froh um Hinweise auf Fehler: lucius.hartmann@kzo.ch
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\usepackage{color}
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%\usepackage{ifthen}
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\newif\ifteacher\teacherfalse
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\def\teacher#1{\ifteacher\textcolor{gray}{#1}\else\textcolor{white}{#1}\fi}
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\def\onlyteacher#1{\ifteacher{\textcolor{gray}{#1}}\else{}\fi}
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\def\onlystudent#1{\ifteacher{}\else{#1}\fi}
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%FORMATS
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\setlength{\parindent}{0cm}
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\setlength{\oddsidemargin}{0cm}
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\setlength{\topmargin}{-1cm}
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\setlength{\textheight}{24cm}
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\setlength{\textwidth}{16cm}
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\pagestyle{empty}
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\setlength{\parskip}{2.4ex}
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%\renewcommand{\labelenumii}{\alph{enumii})}
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%%%% Abst\"ande in Tabellen, d.h. auch in Vektoren und Matrizen!!
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\renewcommand{\arraystretch}{1}
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% Druckformate
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\def\Absatz#1#2{\rule[-#2]{0cm}{#1}}
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\def\Kapitel#1{\centerline {\LARGE \bf #1\Absatz{0cm}{1cm}} \rm \normalsize}
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\def\Titel#1{\Absatz{1.5cm}{0cm}{\Large \bf #1}\Absatz{0cm}{0.6cm} \rm \normalsize}
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\def\Untertitel#1{\Absatz{0.8cm}{0cm}{\large \bf #1}\Absatz{0cm}{0.4cm} \rm \normalsize \\}
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\def\Satz#1#2#3{\Absatz{0.8cm}{0cm}{\large \bf #1}\Absatz{0cm}{0.4cm} \rm \normalsize \\ #2 \vspace{0.3cm}
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\Einrueckung{Beweis}{2cm}{1.7cm}{#3}{0.7cm}}
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\def\Satzunbewiesen#1#2{\Absatz{0.8cm}{0cm}{\large \bf #1}\Absatz{0cm}{0.4cm} \rm \normalsize \\ #2 \vspace{0.7cm}}
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\def\Definition#1{\begin{list}{Definition: \hfill}{\setlength{\leftmargin}{2.5cm} \setlength{\topsep}{0cm}
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\setlength{\labelsep}{0.4cm} \setlength{\labelwidth}{2.1cm}}\item #1 \vspace{0.5cm}\end{list}}
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\def\Aufgaben#1{\begin{list}{Aufgaben: \hfill}{\setlength{\leftmargin}{2.4cm} \setlength{\topsep}{0cm}
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\setlength{\labelsep}{0.4cm} \setlength{\labelwidth}{2cm}}\item #1 \vspace{0.5cm}\end{list}}
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\def\Beispiel#1{\begin{list}{Beispiel: \hfill}{\setlength{\leftmargin}{2.4cm} \setlength{\topsep}{0cm}
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\setlength{\labelsep}{0.4cm} \setlength{\labelwidth}{2cm}}\item #1 \vspace{0.5cm}\end{list}}
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\def\Vorgehen#1{\begin{list}{Vorgehen: \hfill}{\setlength{\leftmargin}{2.4cm} \setlength{\topsep}{0cm}
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\setlength{\labelsep}{0.4cm} \setlength{\labelwidth}{2cm}}\item #1 \vspace{0.5cm}\end{list}}
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\def\Block#1#2{\begin{list}{#1: \hfill}{\setlength{\leftmargin}{2.4cm} \setlength{\topsep}{0cm}
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\setlength{\labelsep}{0.4cm} \setlength{\labelwidth}{2cm}}\item #2 \vspace{0.5cm}\end{list}}
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\def\Blockbreit#1#2{\begin{list}{#1: \hfill}{\setlength{\leftmargin}{3.4cm} \setlength{\topsep}{0cm}
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\setlength{\labelsep}{0.4cm} \setlength{\labelwidth}{3cm}}\item #2 \vspace{0.5cm}\end{list}}
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\def\Idee#1{\begin{list}{\framebox{Idee} \hfill}{\setlength{\leftmargin}{1.4cm} \setlength{\topsep}{0cm}
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\setlength{\labelsep}{0.4cm} \setlength{\labelwidth}{1cm}}\item #1 \vspace{0.5cm}\end{list}}
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\def\Einrueckung#1#2#3#4#5{\begin{list}{#1: \hfill}{\setlength{\leftmargin}{#2} \setlength{\topsep}{0cm}
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\setlength{\labelsep}{.3cm} \setlength{\labelwidth}{#3}}\item #4 \vspace{#5}\end{list}}
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\newcommand{\gleichungssystem}[2]{\begin{tabular}[t]{|c|}#1 \\ #2
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\end{tabular}}
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% Bilder
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% Name und Hoehe
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\newcommand{\Bild}[2]{\raisebox{-#2}{\raisebox{0.5cm}{\includegraphics[height=#2]{#1}}}}
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% Name, Breite, Hoehe, Zwischenraum, Breite des Textes, Text
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\newcommand{\Bildlinks}[6]{\begin{minipage}[t]{#2}\Bild{#1}{#3}\end{minipage}\hspace{#4}
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\begin{minipage}[t]{#5}#6\end{minipage}}
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\newcommand{\Bildrechts}[6]{\begin{minipage}[t]{#5}#6\end{minipage}\hspace{#4}
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\begin{minipage}[t]{#2}\Bild{#1}{#3}\end{minipage}}
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% Formeln innerhalb von Text
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\def\dsp{\displaystyle}
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\def\bruch#1#2{\displaystyle \frac{#1}{#2}}
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% Formeln
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\def\deg#1{#1^\circ} % Grad
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\def\apo{\textsc{\char13}} % Apostroph
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\def\longvec#1{\stackrel{\longrightarrow}{#1}}
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\def\strecke#1{\stackrel{\mbox{---}}{#1}}
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\def\vektorxy#1#2{\left(\begin{array}{c}#1\\#2\end{array}\right)}
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\def\vektorxyz#1#2#3{\left(\begin{array}{c}#1\\#2\\#3\end{array}\right)}
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\newcommand{\geradexy}[5][t]{\vektorxy{x}{y} = \vektorxy{#2}{#3} + #1 \cdot \vektorxy{#4}{#5}}
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\newcommand{\geradexyz}[7][t]{\vektorxyz{x}{y}{z} = \vektorxyz{#2}{#3}{#4} + #1 \cdot \vektorxyz{#5}{#6}{#7}}
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\def\promille{$\hspace{0.5mm}^0\hspace{-1mm}/\hspace{-0.5mm}_{00}$}
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% Kursiv
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\def\i{\itshape}
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% Rechtsbuendig
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\def\ralign{\hfill }
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% Durchnummerierung von Aufgaben
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\newcounter{index}
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\newcounter{tempindex}
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\newcommand{\saveindex}{\setcounter{tempindex}{\value{index}}}
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\newenvironment{nummerierung}[1][0]{\begin{list}{\arabic{index}.}{\usecounter{index}\setcounter{index}{#1}}}{\end{list}}
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% Pruefungen
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\def\punkte#1{\ralign{\i (#1)}}
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\newcommand{\prtitel}[3]{{\Large\bf #1}\hspace{0.8cm}#2\hspace{0.8cm}#3\hspace{0.8cm}
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Name:\vspace{0.4cm}}
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\newcommand{\text}[2][12.5]{\begin{minipage}[t]{#1cm}#2\end{minipage}}
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\newcommand{\praufgabe}[3][13.65]{\text[#1]{#2}\punkte{#3}}
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\newcommand{\prteilaufgabe}[3][12]{\praufgabe[#1]{#2}{#3}}
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\newcommand{\prteilaufg}[4][12.85]{{\begin{minipage}[t]{0.8cm}\Absatz{0.5cm}{0cm}#2\end{minipage}}\prteilaufgabe[#1]{#3}{#4}}
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\newcounter{number}
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\newenvironment{aufgaben}[1][0]{\begin{list}{\arabic{number}.}
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{\usecounter{number}
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\setcounter{number}{#1}
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\setlength{\leftmargin}{1.5em}
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\setlength{\parsep}{0.5ex plus0.2ex minus0.1ex}
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\setlength{\itemsep}{3.5ex plus0.2ex minus0.2ex}}}
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{\end{list}}
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\newcounter{letter}
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\newenvironment{teilaufgabe}{\begin{list}{\alph{letter})}
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{\usecounter{letter}
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\setlength{\leftmargin}{1.5em}
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\setlength{\parsep}{0.5ex plus0.2ex minus0.1ex}
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\setlength{\itemsep}{1ex plus0.2ex minus0.1ex}
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}} {\end{list}}
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\newcounter{savenumber}
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\newcommand{\aufgabesichern}{\setcounter{savenumber}{\value{number}}}
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\newcommand{\aufgabefortsetzen}{\setcounter{number}{\value{savenumber}}}
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\newcounter{saveletter}
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\newcommand{\teilaufgabesichern}{\setcounter{saveletter}{\value{letter}}}
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\newcommand{\teilaufgabefortsetzen}{\setcounter{letter}{\value{saveletter}}}
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% Koordinatensysteme
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\newcounter{x}
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\newcounter{y}
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\newcounter{x1}
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\newcounter{x2}
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\newcounter{y1}
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\newcounter{y2}
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\newcounter{min}
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\newcounter{xline}
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\newcounter{yline}
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\newcounter{n}
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\newcounter{m}
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\newcounter{xtemp}
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\newcounter{ytemp}
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% Haeuschen: [4mm]{anzahlx}{anzahly}
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\newcommand{\Haeuschen}[3][4]{
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\setcounter{x1}{#2}
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\stepcounter{x1}
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\setcounter{y1}{#3}
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\stepcounter{y1}
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\setlength{\unitlength}{#1mm}
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\begin{picture}(#2,#3)
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\multiput(0,0)(0,1){\value{y1}}{\line(1,0){#2}}
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\multiput(0,0)(1,0){\value{x1}}{\line(0,1){#3}}
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\end{picture}
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}
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% Koordinatensystem: [4mm]{anzahlx}{anzahly}{ursprungx}{ursprungy}
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\newcommand{\Koordinatensystem}[5][4]{
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\setcounter{x}{#2}
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\stepcounter{x}
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\setcounter{y}{#3}
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\stepcounter{y}
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\setlength{\unitlength}{#1mm}
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\begin{picture}(#2,#3)
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\multiput(0,0)(0,1){\value{y}}{\line(1,0){#2}}
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\multiput(0,0)(1,0){\value{x}}{\line(0,1){#3}}
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\linethickness{0.3mm}
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\put(0,#5){\vector(1,0){\value{x}}}
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\put(#4,0){\vector(0,1){\value{y}}}
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\end{picture}
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}
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% Koordinatensystem: [4mm]{anzahlx}{anzahly}{ursprungx}{ursprungy}{abstandlinien}
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\newcommand{\Koordinatensystemerweitert}[6][4]{
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\setcounter{x2}{#2}
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\stepcounter{x2}
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\setcounter{y2}{#3}
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\stepcounter{y2}
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\setcounter{min}{#6}
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\addtocounter{min}{-1}
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\setcounter{xline}{#4}
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\loop
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\ifnum\value{xline}>\value{min}
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\addtocounter{xline}{-#6}
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\repeat
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\setcounter{yline}{#5}
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\loop
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\ifnum\value{yline}>\value{min}
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\addtocounter{yline}{-#6}
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\repeat
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\setcounter{n}{0}
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\setcounter{xtemp}{\value{xline}}
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\loop
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\ifnum\value{xtemp}<\value{x2}
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\stepcounter{n}
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\addtocounter{xtemp}{#6}
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\repeat
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\setcounter{m}{0}
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\setcounter{ytemp}{\value{yline}}
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\loop
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\ifnum\value{ytemp}<\value{y2}
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\stepcounter{m}
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\addtocounter{ytemp}{#6}
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\repeat
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\setlength{\unitlength}{#1mm}
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\begin{picture}(#2,#3)
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\multiput(0,0)(0,1){\value{y2}}{\line(1,0){#2}}
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\multiput(0,0)(1,0){\value{x2}}{\line(0,1){#3}}
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\linethickness{0.3mm}
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\multiput(0,\value{yline})(0,#6){\value{m}}{\line(1,0){#2}}
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\multiput(\value{xline},0)(#6,0){\value{n}}{\line(0,1){#3}}
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\linethickness{0.3mm}
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\put(0,#5){\vector(1,0){\value{x2}}}
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\put(#4,0){\vector(0,1){\value{y2}}}
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\end{picture}
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}
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