Stejnolehlost

Project ID: 
6000000079
Accepted: 
Podoblast: 
Typ: 
Layout: 
Question: 
Určete koeficient stejnolehlosti se středem v bodě $S$, ve které je obrazem trojúhelníku $ABC$ trojúhelník $A'B'C'$.
Questions Title: 
Obrazce:
Answers Title: 
Koeficient stejnolehlosti:
Question 1: 
{\obrA}
Question 1 Image: 
Answer 1: 

$-\frac12$

Question 2: 
{\obrB}
Question 2 Image: 
Answer 2: 

$-2$

Question 3: 
{\obrC}
Question 3 Image: 
Answer 3: 

$2$

Question 4: 
{\obrD}
Question 4 Image: 
Answer 4: 

$\frac12$

Answer 5: 

$4$

Answer 6: 

$-4$

Answer 7: 

$-\frac14$

Answer 8: 

$\frac14$

Tex: 
% tiket 32919 \NastavOD{4} \def\obrA{\obrMsr[x=0.7cm,y=0.7cm]{-1}2{-1}2 { \footnotesize \coordinate (A) at (0,0); \coordinate (B) at (4,0); \coordinate (C) at (3,4); \coordinate (A1) at (7.5,1.5); \coordinate (B1) at (5.5,1.5); \coordinate (C1) at (6,-0.5); \coordinate (S) at (5,1); \draw[dashed] (A) -- (A1) node [above]{$A'$}; \draw[dashed] (B) -- (B1) node [above]{$B'$}; \draw[dashed] (C) -- (C1) node [below]{$C'$}; \draw[black,thick] (A) node [below]{$A$} -- (B) node [below]{$B$} -- (C) node [above]{$C$} -- cycle; \draw[red,thick] (A1) -- (B1) -- (C1) -- cycle; \begin{scope}[thick] \obrKrizek[2pt]{S}{above,yshift=2pt}{S} \end{scope} }} \def\obrB{\obrMsr[x=0.7cm,y=0.7cm]{-1}2{-1}2 { \footnotesize \coordinate (A) at (0,0); \coordinate (B) at (4,0); \coordinate (C) at (3,4); \coordinate (A1) at ($(B)!0.5!(C)$); \coordinate (B1) at ($(A)!0.5!(C)$); \coordinate (C1) at ($(B)!0.5!(A)$); \coordinate (S) at (2.33,1.33); \draw[red,thick] (A) node [below]{\color{black}$A'$} -- (B) node [below]{\color{black}$B'$} -- (C) node [above]{\color{black}$C'$} -- cycle; \draw[black,thick] (A1) node [above right]{\color{black}$A$} -- (B1) node [above left] {\color{black}$B$} -- (C1) node [below]{\color{black}$C$} -- cycle; \begin{scope}[thick] \obrKrizek[2pt]{S}{above}{S} \end{scope} }} \def\obrC{\obrMsr[x=0.6cm,y=0.6cm]{-1}2{-1}2 { \footnotesize \coordinate (A) at (0,0); \coordinate (B) at (5,1); \coordinate (C) at (4,6); \coordinate (A1) at (2.25,1.75); \coordinate (B1) at (4.75,2.25); \coordinate (C1) at (4.25,4.75); \coordinate (S) at ($(C)!0.5!(B)$); \draw[red,thick] (A) node [below]{\color{black}$A'$} -- (B) node [below right]{\color{black}$B'$} -- (C) node [above]{\color{black}$C'$} -- cycle; \draw[black,thick] (A1) node [below left]{\color{black}$A$} -- (B1) node [right]{\color{black}$B$} -- (C1) node [right]{\color{black}$C$} -- cycle; \begin{scope}[thick] \obrKrizek[2pt]{S}{right}{S} \end{scope} }} \def\obrD{\obrMsr[x=0.7cm,y=0.7cm]{-1}2{-1}2 { \footnotesize \coordinate (A) at (0,0); \coordinate (B) at (4,0); \coordinate (C) at (3,4); \coordinate (A1) at ($(B)!0.5!(C)$); \coordinate (B1) at ($(A)!0.5!(C)$); \coordinate (C1) at ($(B)!0.5!(A)$); \coordinate (S) at (2.33,1.33); \draw[black,thick] (A) node [below]{$A$} -- (B) node [below right, xshift=-5pt]{$B=S=B'$} -- (C) node [above]{$C$} -- cycle; \draw[red,thick] (A1) node [above right]{\color{black}$C'$} -- (C1) node [below]{\color{black}$A'$} -- (B) -- cycle; }}