Operácie s komplexnými číslami

Project ID: 
5000000016
Accepted: 
Template: 
Question: 
V sústave súradníc sú znázornené komplexné čísla A-J. Vypočítajte dané operácie s nimi a označte správny výsledok.
Question Row 1: 
A+B
Answer Row 1: 
*56i, 6+5i, 1, i
Question Row 2: 
DC
Answer Row 2: 
*5+6i, 5+2i, 1+6i, 1+2i
Question Row 3: 
EG
Answer Row 3: 
*12+5i, 12+5i, 2+11i, 12
Question Row 4: 
I/H
Answer Row 4: 
*3545i, 35+45i, 3545i, 35+45i
Question Row 5: 
F5
Answer Row 5: 
*128128i, 128+128i, 128128i, 128+128i
Question Row 6: 
J
Answer Row 6: 
*±i, ±1, {1;i}, {1;i}
Tex: 
% http://math4u.vsb.cz/ticket/32101 \let\oldQuestion\Question \def\I{\mathrm{i}} \def\Question{ \begin{minipage}[t]{0.6\linewidth} \leavevmode \oldQuestion \end{minipage} \hfill \begin{minipage}[t]{0.35\linewidth} \leavevmode \kern -30pt \def\delka{0.35cm} \obrMsr[x=\delka,y=\delka]{-5}8{-5}7 { \coordinate (A) at (3,-2); \coordinate (B) at (2,-4); \coordinate (C) at (-3,-2); \coordinate (D) at (2,4); \coordinate (E) at (-2,3); \coordinate (F) at (-2,2); \coordinate (G) at (3,2); \coordinate (H) at (1,-3); \coordinate (I) at (-3,1); \coordinate (J) at (-1,0); \obrClip \draw[gray!30,step=1] (-5,-5) grid (5,5); \draw[->] (-5,0) -- (5,0) node [right]{\small{$\mathrm{Re}(z)$}}; \draw[->] (0,-5) -- (0,5) node [above]{\small{$\mathrm{Im}(z)$}}; \obrPopisX[below]{-4,-2,2,4} \obrPopisY[left]{-4,-2,2,4} \begin{scope}[cyan] \obrKrizek[2pt]{A}{right}{A} \end{scope} \begin{scope}[black] \obrKrizek[2pt]{B}{above right}{B} \end{scope} \begin{scope}[yellow!80!black] \obrKrizek[2pt]{C}{below left}{C} \end{scope} \begin{scope}[green!60!black] \obrKrizek[2pt]{D}{above right}{D} \end{scope} \begin{scope}[orange] \obrKrizek[2pt]{E}{above}{E} \end{scope} \begin{scope}[gray] \obrKrizek[2pt]{F}{below}{F} \end{scope} \begin{scope}[blue] \obrKrizek[2pt]{G}{above right}{G} \end{scope} \begin{scope}[magenta] \obrKrizek[2pt]{H}{above right}{H} \end{scope} \begin{scope}[purple!80!black] \obrKrizek[2pt]{I}{left}{I} \end{scope} \begin{scope}[red] \obrKrizek[2pt]{J}{below right,xshift=-2pt}{J} \end{scope} } \end{minipage} } \pocetsloupcu{4}