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Sven Riwoldt
2024-02-07 17:40:53 +01:00
commit 0836113d17
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54
Grafiken/I_Abb001.tex Normal file
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%!TEX root=MathIng.tex
\begin{figure}[htb]
\begin{minipage}[c]{0.5\textwidth}
\centering
\begin{framed}
\def\firstcircle{(0,0) circle (2cm)}
\def\secondcircle{(-0.5,0) circle (1cm)}
\colorlet{circle edge}{black}
\colorlet{circle area}{black!20!white}
\tikzset{filled/.style={fill=circle area, draw=circle edge, thick},
outline/.style={draw=circle edge,thick}}
\begin{tikzpicture}
\fill[filled] \secondcircle;
\draw[outline] \firstcircle node[xshift=-5mm] {$A$};
\draw[outline] \secondcircle node[xshift=2cm] {$B$};
\node[anchor=south,yshift=-8mm] at (current bounding box.south) {$A \subset B$};
\end{tikzpicture}
%\captionof{figure}{Venn-Diagramme}
\end{framed}
\end{minipage}
\begin{minipage}[c]{0.5\textwidth}
\centering
\begin{framed}
\def\firstcircle{(2,0) circle (2cm)}
\def\secondcircle{(-0.95,1) circle (1cm)}
\colorlet{circle edge}{black}
\colorlet{circle area}{black!20!white}
\tikzset{filled/.style={fill=circle area, draw=circle edge, thick},
outline/.style={draw=circle edge,thick}}
\begin{tikzpicture}
\fill[filled] \secondcircle;
\draw[outline] \firstcircle node {$A$};
\draw[outline] \secondcircle node {$B$};
\node[anchor=south,yshift=-8mm] at (current bounding box.south) {$A \not\subset B$};
\end{tikzpicture}
\end{framed}
\end{minipage}
\caption{Venn-Diagramme}\label{Abb001}
\end{figure}

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Grafiken/I_Abb002.tex Normal file
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%!TEX root=MathIng.tex
\begin{figure}[htb]
%%%die begin und end der minipage dürfen nicht mit Zeilenumbruch getrennt werden
\begin{minipage}[c]{0.33\textwidth}
\begin{framed}
\def\firstcircle{(2,0) circle (2cm)}
\def\secondcircle{(0,1) circle (1cm)} %(45:1)Winkel, Radius
\colorlet{circle edge}{black}
\colorlet{circle area}{black!20!white}
\tikzset{filled/.style={fill=circle area, draw=circle edge, thick},
outline/.style={draw=circle edge,thick}}
\begin{tikzpicture}[scale=0.7]
\begin{scope}
\clip \firstcircle;
\fill[filled] \secondcircle;
\end{scope}
\draw[outline] \secondcircle node {$A$};
\draw[outline] \firstcircle node {$B$};
\draw[outline] \secondcircle node {$A$};
\node[anchor=south,yshift=-2em] at (current bounding box.south) {$A \cap B$};
\end{tikzpicture}
%\captionof{figure}{Venn-Diagramme}
\end{framed}
\end{minipage}\begin{minipage}[c]{0.33\textwidth}
\begin{framed}
\def\firstcircle{(2,0) circle (2cm)}
\def\secondcircle{(-0.25,1) circle (1cm)}
\colorlet{circle edge}{black}
\colorlet{circle area}{black!20!white}
\tikzset{filled/.style={fill=circle area, draw=circle edge, thick},outline/.style={draw=circle edge,thick}}
\begin{tikzpicture}[scale=0.7]
\fill[filled] \secondcircle node {$A$};
\fill[filled] \firstcircle node {$B$};
\draw[outline] \secondcircle node {$A$};
\node[anchor=south,yshift=-8mm] at (current bounding box.south) {$A \cup B$};
\end{tikzpicture}
\end{framed}
\end{minipage}\begin{minipage}[c]{0.33\textwidth}
\begin{framed}
\def\firstcircle{(2,0) circle (2cm)}
\def\secondcircle{(-0.25,1) circle (1cm)}
\colorlet{circle edge}{black}
\colorlet{circle area}{black!20!white}
\tikzset{filled/.style={fill=circle area, draw=circle edge, thick},
outline/.style={draw=circle edge,thick}}
\begin{tikzpicture}[scale=0.7]
\begin{scope}
\clip \secondcircle;
\draw[filled, even odd rule] \secondcircle \firstcircle;
\end{scope}
\draw[outline] \firstcircle node {$B$}
\secondcircle node {$A$};
\node[anchor=south,yshift=-8mm] at (current bounding box.south) {$A \setminus B$};
\end{tikzpicture}
\end{framed}
\end{minipage}
\caption{Darstellung von Durchschnitts-, Vereinigungs- und Differenzmenge}\label{Abb002}
\end{figure}

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Grafiken/I_Abb003.tex Normal file
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\begin{figure}[htb]
\centering
\begin{tikzpicture}
\draw (0,0) -- (2,1) node[anchor=west] {$B_1$};
\draw (2.6,1) -- (4.6,1.25) node[anchor=west] {$B_2$};
\draw (2.6,1) -- (4.6,0.75) node[anchor=west] {$B_3$};
\draw (5.2,1.25) -- (7.2,1.25) node[anchor=west] {$B_3$};
\draw (5.2,0.75) -- (7.2,0.75) node[anchor=west] {$B_2$};
\draw (0,0) -- (2,0) node[anchor=west] {$B_2$};
\draw (2.6,0) -- (4.6,0.25) node[anchor=west] {$B_1$};
\draw (2.6,0) -- (4.6,-0.25) node[anchor=west] {$B_3$};
\draw (5.2,0.25) -- (7.2,0.25) node[anchor=west] {$B_3$};
\draw (5.2,-0.25) -- (7.2,-0.25) node[anchor=west] {$B_1$};
\draw (0,0) -- (2,-1) node[anchor=west] {$B_3$};
\draw (2.6,-1) -- (4.6,-0.75) node[anchor=west] {$B_1$};
\draw (2.6,-1) -- (4.6,-1.25) node[anchor=west] {$B_2$};
\draw (5.2,-0.75) -- (7.2,-0.75) node[anchor=west] {$B_2$};
\draw (5.2,-1.25) -- (7.2,-1.25) node[anchor=west] {$B_1$};
\node (P1) at (2.3,-1.85) {1. Platz};
\node (P2) at (4.9,-1.85) {2. Platz};
\node (P3) at (7.4,-1.85) {3. Platz};
\end{tikzpicture}
\caption{Platzierungsmöglichkeiten der drei Bücher $B_{1}, B_{2}, B_{3}$}
\end{figure}

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Grafiken/I_Abb004.tex Normal file
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\begin{figure}[htb]
\centering
\begin{tikzpicture}
\draw[-latex, thick] (-6,0) -- (6, 0);
\foreach \c in {-5,0,...,5}{
\draw (\c,-.1) -- (\c,.1) node[below=4pt] {$\scriptstyle\c$};
}
\draw[latex-latex](-5,0.5) --(0,0.5) node[above, midway]{$|-5|=5$};
\draw[latex-latex](0,0.5) --(5,0.5) node[above, midway]{$|5|=5$};
\end{tikzpicture}
\caption{Betrag einer reellen Zahl}
\end{figure}

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Grafiken/I_Abb005.tex Normal file
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\begin{figure}[htb]
\centering
\begin{tikzpicture}[sloped,scale=1.5]
\draw[-latex](0,0)--(6,0) node[midway, below]{$\vec{x}+\vec{y}$};
\draw[-latex](0,0)--(2,1) node[midway, above]{$\vec{x}$};
\draw[-latex](2,1)--(6,0) node[midway, above]{$\vec{y}$};
\end{tikzpicture}
\caption{Vektoraddition}
\end{figure}

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Grafiken/I_Abb006.tex Normal file
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\begin{figure}[htb]
\centering
\begin{tikzpicture}
\draw[-latex] (-0.5,0) -- (7,0) node[below] {$x$};
\draw[-latex] (0,-0.5) -- (0,6) node[left] {$y$};
\coordinate[] (A) at (4,3);
\draw[] (A) circle [radius=1.5];
\draw[] (A) to ["$r$",sloped] ++ (45:1.5) coordinate[] (B) ;
\draw[] (B) to [] ++ (270:{sqrt(1.125)}) coordinate[] (C);
\draw (C) to (A);
\draw[fill=black] (A) circle (0.05);
\draw[fill=black] (B) circle (0.05);
\draw[dashed] (A) -- (4,-0.1) node[yshift=-2mm]{$x_m$};
\draw[dashed] (A) -- (-0.1,3) node[xshift=-3mm]{$y_m$};
\draw[dashed] (C) -- (4+1.06066,-0.1) node[yshift=-2mm]{$x$};
\draw[dashed] (B) -- (-0.1, 4.06066) node[xshift=-3mm]{$y$};
\draw[latex-latex] (4,2.4) -- (5.106066, 2.4) node [midway, below ]{$a$} ;
\draw[latex-latex] (2,3) -- (2, 4.06066) node[midway, left]{$b$};
\draw pic["$\cdot$", draw, angle radius=3mm ] {angle=B--C--A};
\end{tikzpicture}
\caption{Kreis mit Mittelpunkt $M\left(x_{m}, y_{m}\right)$ und Radius $r$.}
\end{figure}

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\begin{figure}[htb]
\centering
\begin{tikzpicture}
\draw[-latex] (-3,0) -- (3,0) node[below] {$x$};
\draw[-latex] (0,-1.5) -- (0,2) node[left] {$y$};
\draw (0,0) ellipse (2.03cm and 1.17cm);
\coordinate[] (A) at (-0.75,0) ;
\coordinate[] (B) at (0,1.17);
\coordinate[] (C) at (0.75,0);
\coordinate[] (D) at (-0.35,0);
\coordinate[] (E) at (0.35,0);
\coordinate[] (F) at (0,0.4);
\draw (A) -- (B) node[midway,xshift=-7] {$a$};
\draw (C) -- (B)node[midway,xshift=7] {$a$} ;
\draw[fill=black] (A) circle (0.05) node[below] {$F_1$};
\draw[fill=black] (C) circle (0.05) node[below] {$F_2$};
\node[yshift=-5] at (D) {$e$};
\node[yshift=-5] at (E) {$e$};
\node[xshift=4] at (F) {$b$};
\draw[-latex] (5,0) -- (11,0) node[below] {$x$};
\draw[-latex] (8,-1.5) -- (8,2) node[left] {$y$};
\draw (8,0) ellipse (2.03cm and 1.17cm);
\coordinate[] (G) at (7.25,0) ;
\coordinate[] (H) at (8.75,0) ;
\coordinate[] (I) at (9.33,0.88) ;
\draw[fill=black] (G) circle (0.05) node[below] {$F_1$};
\draw[fill=black] (H) circle (0.05) node[below] {$F_2$};
\draw[fill=black] (I) circle (0.05) node[above] {$P$};
\coordinate[] (J) at (7.65,0);
\coordinate[] (K) at (8.35,0);
\node[yshift=-5] at (J) {$e$};
\node[yshift=-5] at (K) {$e$};
\coordinate[] (L) at (9.33,0); %x
\coordinate[] (M) at (8,0.88); %y
\draw (G) -- (I);
\draw (H) -- (I);
\draw[dashed](L) -- (I);
\draw[dashed](M) -- (I);
\node[xshift=-6] at (M) {$y$};
\node[yshift=-6] at (L) {$x$};
\end{tikzpicture}
\caption{Ellipse mit Mittelpunkt $M(0,0)$}
\end{figure}

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\begin{figure}[htb]
\centering
\begin{tikzpicture}
\draw[-latex] (-4,-2) -- (3,-2) node[below] {$x$};
\draw[-latex] (-4 ,-2) -- (-4,2) node[left] {$y$};
\draw (0,0) ellipse (2.42cm and 1cm);
\coordinate[] (A) at (0,0) ;
\coordinate[] (B) at (1.49,0.79) ;
\draw[fill=black] (A) circle (0.05) node[below] {};
\draw[fill=black] (B) circle (0.05) node[below] {};
\coordinate[] (Y1) at (-4.1, 0.79);
\coordinate[] (Y2) at (-4.1, 0);
\coordinate[] (X1) at (0, -2.1);
\coordinate[] (X2) at (1.49, -2.1);
\draw[thin, dashed] (Y1) node[left] {$y$} -- (B) ;
\draw[thin, dashed] (Y2) node[left] {$y_m$} -- (A) node[left] {};
\draw[-latex](A) -- (B);
\draw[thin, dashed](X1) node[yshift=-4] {$x_m$} -- (A);
\draw[thin, dashed](X2) node[yshift=-4] {$x$} -- (B);
\coordinate[] (ETA1) at (0,-0.5);
\coordinate[] (ETA2) at (1.49,-0.5);
\draw[-latex, thick] (0,0) -- (3,0) node[below] {$\eta$};
\draw[latex-latex] (ETA1) -- (ETA2) node[midway,below] {$\eta$};
\draw[-latex, thick] (0,0) -- (0,1.5) node[above] {$\xi$};
\coordinate[] (XI1) at (-1,0);
\coordinate[] (XI2) at (-1,0.79);
\draw[latex-latex] (XI1) -- (XI2) node[left,midway] {$\xi$};
\end{tikzpicture}
\caption{Ellipse mit Mittelpunkt $M\left(x_{m}, y_{m}\right)$}
\end{figure}

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%!TEX root=../../MathIng.tex
%%%Nur Muster
\begin{figure}[htb]
\centering
\begin{tikzpicture}
\tikzstyle{every node}=[font=\scriptsize]
\draw[-latex] (-5.5,0) -- (-1,0) node[below] {$x$};
\foreach \x in {-4,-3.5,...,-1.5}
\draw (\x,-0.1) -- (\x,0.1);
\node[below] at (-3.5, -0.1) {$2$};
\node[below] at (-2.5, -0.1) {$4$};
\node[below] at (-1.5, -0.1) {$6$};
\draw[-latex] (-4.5,-2) -- (-4.5,2) node[left] {$y$};
\foreach \y in {-1,-0.5,...,1}
\draw (-4.6,\y) -- (-4.4,\y);
\node[left] at (-4.6, -1) {$-2$};
\node[left] at (-4.6, -0.5) {$-1$};
\node[left] at (-4.6, 0.5) {$1$};
\node[left] at (-4.6, 1) {$2$};
\draw[-latex] (1.5,0) -- (6,0) node[below] {$x$};
\foreach \x in {3,3.5,...,5.5}
\draw (\x,-0.1) -- (\x,0.1);
\node[below] at (3.5, -0.075) {$2$};
\node[below] at (4.5, -0.075) {$4$};
\node[below] at (5.5, -0.075) {$6$};
\draw[-latex] (2.5,-2) -- (2.5,2) node[left] {$y$};
\foreach \y in {-1,-0.5,...,1}
\draw (2.4,\y) -- (2.6,\y);
\node[left] at (2.4, -1) {$-2$};
\node[left] at (2.4, -0.5) {$-1$};
\node[left] at (2.4, 0.5) {$1$};
\node[left] at (2.4, 1) {$2$};
\draw[fill=black] (-3,1) circle (0.05) node[above] {$z_1$};
\draw[fill=black] (-3,-1) circle (0.05) node[below] {$z_2$};
\draw[-latex] (2.5,0) -- (4,1)node[midway, above]{$z_1$};
\draw[-latex] (2.5,0) -- (4,-1)node[midway, below]{$z_2$};
\end{tikzpicture}
\caption{Darstellung komplexer Zahlen in der Gaußschen Ebene}
\end{figure}