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ab: seite 1 fertig (hat länger gedauert weil tikz)

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fierke
2026-07-09 21:48:39 +02:00
parent ffe01cbe1a
commit 640f93e3d1
2 changed files with 95 additions and 5 deletions
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@@ -104,11 +104,11 @@
after skip=10pt
}
\newtcolorbox{taskbox}[1][]{
\newtcolorbox{extrataskbox}[1][]{
before title={\refstepcounter{commoncounter}}, % KRITISCH: vor dem Titel!
title={Aufgabe \thecommoncounter: #1},
title={Zusatzaufgabe: #1},
colback=white,
colframe=white!75!orange,
colframe=white!75!red,
fonttitle=\bfseries,
boxrule=0.6mm,
coltitle=black,
@@ -242,12 +242,102 @@
\begin{center}
\textit{Die Summe des Steins ist die Summe der darüberliegenden Steine. }
\end{center}
\begin{figure}[H]
\begin{figure}[!ht]
\centering
\includegraphics[width=0.7\linewidth]{pyramide_01}
\begin{circuitikz}[x=0.8cm,y=0.8cm]
% oberste Reihe
\draw[dashed,gray!60] (8.875,16.25) rectangle (10.25,14.875);
\node[text=gray!60] at (9.55,15.5625) {0};
\draw (10.25,16.25) rectangle (13,14.875);
\node[anchor=center] at (11.6,15.5625) {1};
\draw[dashed,gray!60] (13,16.25) rectangle (14.375,14.875);
\node[text=gray!60] at (13.75,15.5625) {0};
% zweite Reihe
\draw[dashed,gray!60] (7.5,14.875) rectangle (8.875,13.5);
\node[text=gray!60] at (8.175,14.1875) {0};
\draw (8.875,14.875) rectangle (11.625,13.5);
\draw (11.625,14.875) rectangle (14.375,13.5);
\draw[dashed,gray!60] (14.375,14.875) rectangle (15.75,13.5);
\node[text=gray!60] at (15,14.1875) {0};
% dritte Reihe
\draw[dashed,gray!60] (6.125,13.5) rectangle (7.5,12.125);
\node[text=gray!60] at (6.8,12.8125) {0};
\draw (7.5,13.5) rectangle (10.25,12.125);
\draw (10.25,13.5) rectangle (13,12.125);
\draw (13,13.5) rectangle (15.75,12.125);
\draw[dashed,gray!60] (15.75,13.5) rectangle (17.125,12.125);
\node[text=gray!60] at (16.375,12.8125) {0};
% unterste Reihe
\draw[dashed,gray!60] (4.75,12.125) rectangle (6.125,10.75);
\node[text=gray!60] at (5.425,11.4375) {0};
\draw (6.125,12.125) rectangle (8.875,10.75);
\draw (8.875,12.125) rectangle (11.625,10.75);
\draw (11.625,12.125) rectangle (14.375,10.75);
\draw (14.375,12.125) rectangle (17.125,10.75);
\draw[dashed,gray!60] (17.125,12.125) rectangle (18.5,10.75);
\node[text=gray!60] at (17.875,11.4375) {0};
\end{circuitikz}
\end{figure}
\item Berechne die Steine der Pyramide:
\begin{figure}[!ht]
\centering
\begin{circuitikz}[x=0.8cm,y=0.8cm]
\draw (10.25,16.25) rectangle (13,14.875);
\node at (10.875,15.5625) {$\binom{0}{0}=$};
\draw (8.875,14.875) rectangle (11.625,13.5);
\node at (9.5,14.1875) {$\binom{1}{0}=$};
\draw (11.625,14.875) rectangle (14.375,13.5);
\node at (12.25,14.1875) {$\binom{1}{1}=$};
\draw (10.25,13.5) rectangle (13,12.125);
\node at (10.875,12.8125) {$\binom{2}{0}=$};
\draw (7.5,13.5) rectangle (10.25,12.125);
\node at (8.125,12.8125) {$\binom{2}{1}=$};
\draw (13,13.5) rectangle (15.75,12.125);
\node at (13.625,12.8125) {$\binom{2}{2}=$};
\draw (11.625,12.125) rectangle (14.375,10.75);
\node at (12.25,11.4375) {$\binom{3}{0}=$};
\draw (8.875,12.125) rectangle (11.625,10.75);
\node at (9.5,11.4375) {$\binom{3}{1}=$};
\draw (6.125,12.125) rectangle (8.875,10.75);
\node at (6.75,11.4375) {$\binom{3}{2}=$};
\draw (14.375,12.125) rectangle (17.125,10.75);
\node at (15,11.4375) {$\binom{3}{3}=$};
\end{circuitikz}
\end{figure}
\end{enumerate}
\begin{extrataskbox}
Entwirf einen Computeralgorithmus, der den Binomialkoeffizienten berechnet, ohne dass dieser die Fakultät benutzt!
\end{extrataskbox}
\label{LastPage}
\end{document}