Neue Extremwertaufgabe Planimetrie

21_22_A/6MT19c_pr3_Extreme/Pruefung.tex

@@ -38,7 +38,7 @@
 
 %% Aufgabe Zündholzschachtel S. 174 (Geom.-Buch) Aufg. 235
 
-
+\input{P_TALS/stereo/extremwerte/Eckzaun_v1}
 \input{P_TALS/stereo/extremwerte/Blechkiste_v1}
 % Aber vereinfachen (Schachtel ohne Deckel) sodass nicht zwei Größen
 % gesucht werden. oder 232

aufgaben/P_TALS/stereo/extremwerte/Eckzaun_v1.tex

@@ -0,0 +1,22 @@
+\begin{frage}[4]%% Anzahl Punkte für diese Aufgabe
+
+  An einer Ecke eines Hauses befindet sich ein Garten, der eingezäunt
+  werden soll. Siehe Figur 1 links:
+
+  \bbwCenterGraphic{10cm}{P_TALS/stereo/extremwerte/img/Eckzaun.png}
+
+  Der Zaun soll als Quadrat mit einspringender Ecke symmetrisch um
+  die Hausecke gebaut werden. Siehe Figur 2 rechts.
+
+  Der gesamte Zaun misst $18 m = z$.
+
+  Wie müssen die 18 Meter in Stücke der Länge $x$ und $b$ aufgeteilt
+  werden, sodass die eingezäunte Fläche maximal wird? Wie groß ist
+  dann diese maximale Fläche?
+
+  \vspace{7mm}
+  
+  Die Maximalfläche misst \LoesungsRaum{27} $m^2$.
+
+  \platzFuerBerechnungen{12}%%
+\end{frage} 

aufgaben/P_TALS/stereo/extremwerte/LokalesMaximum_v1.tex

@@ -24,7 +24,7 @@ Geben Sie das \textbf{absolute} (globale) Minimum als Koordinaten eines Punktes
 $M_g = (\LoesungsRaum{0} | \LoesungsRaum{0}) $
 
 
-Geben Sie das \textbf{relative} (loakle) Minimum als Koordinaten eines Punktes $M_r$ auf \textbf{mindestens 5 (fünf) signimikante} Stellen an:
+Geben Sie das \textbf{relative} (loakle) Minimum als Koordinaten eines Punktes $M_r$ auf \textbf{mindestens 5 (fünf) signifikante} Stellen an:
 
 \leserluft{}
 

aufgaben/P_TALS/stereo/extremwerte/img_src/Eckzaun.svg

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