reduce volume of the last exercise

2 files changed, 51 insertions, 2 deletions

diff --git a/Mathe/23_24/06/10/7A/test/Aufgaben/dreiecke_winkel_bestimmen.png b/Mathe/23_24/06/10/7A/test/Aufgaben/dreiecke_winkel_bestimmen.png
deleted file mode 120000
index 2243df0a..00000000
--- a/Mathe/23_24/06/10/7A/test/Aufgaben/dreiecke_winkel_bestimmen.png
+++ /dev/null
@@ -1 +0,0 @@
-../../../../../../7/5/Aufgaben/dreiecke_winkel_bestimmen.png
\ No newline at end of file
diff --git a/Mathe/23_24/06/10/7A/test/Aufgaben/dreiecke_winkel_bestimmen.tex b/Mathe/23_24/06/10/7A/test/Aufgaben/dreiecke_winkel_bestimmen.tex
index e3da3b35..a77a18e5 120000..100644
--- a/Mathe/23_24/06/10/7A/test/Aufgaben/dreiecke_winkel_bestimmen.tex
+++ b/Mathe/23_24/06/10/7A/test/Aufgaben/dreiecke_winkel_bestimmen.tex
@@ -1 +1,51 @@
-../../../../../../7/5/Aufgaben/dreiecke_winkel_bestimmen.tex
\ No newline at end of file
+\begin{Aufg}[Winkel bestimmen] %vgl. SMART https://smart.uni-bayreuth.de/data/gym/Mathematik/j07/714/754/1030/1030.html Weiterführende Aufgabe 1
+Bestimme die Größe aller mit griechischen Buchstaben gekennzeichneter Winkel.
+Die Abbildung ist nicht maßstabsgetreu. \\
+Hinweis: Der Punkt $M$ ist der Mittelpunkt des Kreises.
+\begin{center}
+\begin{tikzpicture}[rotate=45]
+\coordinate (M) at (0, 0);
+\coordinate (A) at (-3, 0);
+\coordinate (C) at (3, 0);
+\coordinate (D) at (100:3);
+\coordinate (B) at (320:3);
+
+\node[xshift=0.2cm, yshift=-0.2cm] at (M) {M};
+\node[left] at (A) {A};
+\node[right] at (B) {B};
+\node[left] at (D) {D};
+\node[above] at (C) {C};
+
+\node[draw, circle, minimum size=6cm] at (M) {};
+
+\draw (A) -- (C);
+\draw (A) -- (D) node [minimum size=0, pos=0.5] (AD) {};
+\draw (A) -- (B);
+\draw (B) -- (C);
+\draw (C) -- (D);
+\draw (B) -- (M) -- (AD.center) node[left] (E) {E};
+
+\draw pic["$\gamma$", draw, angle radius=1cm] {angle=A--D--C};
+\draw pic["$\alpha$", draw, angle radius=0.9cm] {angle=C--A--D};
+%\draw pic["$\beta$", draw, angle radius=1cm] {angle=C--B--E};
+%\draw pic["$\delta$", draw, angle radius=0.9cm] {angle=A--AD--B};
+\draw pic[draw, angle radius=1.1cm] {angle=B--A--C};
+\draw pic["$\epsilon$", draw, angle radius=0.8cm] {angle=C--M--E};
+\draw pic["$\psi$", draw, angle radius=1.5cm] {angle=E--B--A};
+\draw pic["$45\degree$", draw, angle radius=1.5cm] {angle=D--C--A};
+\draw[Triangle-] ($(A) + (0.8cm, -0.1cm)$) -- ($(A) + (0.5cm, -1cm)$) node[below right, yshift=0.3cm] {$26\degree$};
+\end{tikzpicture}
+\end{center}
+\end{Aufg}
+
+\begin{Lsg}
+\iftoggle{erwartungshorizont}{A2/A3; K2, K5\\}{}
+\begin{itemize}
+\item $\gamma = 90\degree$\Point (ACD Thaleskreis)
+\item $\alpha = 45\degree$\Point (Innenwinkelsumme ACD)
+\item $\psi = 26\degree $\Point (AMB gleichschenklig)
+%\item $\beta = 90\degree - 26\degree = 64\degree$\Point (ACB Thaleskreis)
+\item $\epsilon = 180\degree - (180\degree - 2*26\degree) = 128\degree$\Point (Innenwinkelsumme gleichschenklig ABC, Scheitelwinkel)
+% \item $\delta = 180\degree - 45\degree - (180\degree - 128\degree)) = 83\degree$\Point (Innenwinkelsumme AME, Scheitelwinkel)
+\end{itemize}
+\end{Lsg}