Project ID:
5000000005
Accepted:
Template:
Question:
V sústave súradníc sú znázornené komplexné čísla \( A \)-\( G \). Zaškrtnite ku každému z daných komplexných čísel komplexne združené číslo. Pokiaľ nie je na obrázku znázornené komplexne združené číslo, zaškrtnite X .
Answer Header 1:
$\color{blue}A$
Answer Header 2:
$\color{red}B$
Answer Header 3:
$\color{purple}C$
Answer Header 4:
$\color{green}D$
Answer Header 5:
$\color{yellow}E$
Answer Header 6:
$\color{pink}F$
Answer Header 7:
$\color{darkblue}G$
Answer Header 8:
X
Question Row 1:
$-2\mathrm{i}$
Answer Row 1:
3
Question Row 2:
$2\mathrm{i}$
Answer Row 2:
7
Question Row 3:
$-3+2\mathrm{i}$
Answer Row 3:
1
Question Row 4:
$-3-2\mathrm{i}$
Answer Row 4:
6
Question Row 5:
$-2+3\mathrm{i}$
Answer Row 5:
8
Question Row 6:
$-2-3\mathrm{i}$
Answer Row 6:
2
Tex:
% http://math4u.vsb.cz/ticket/32578
\definecolor{darkblue}{rgb}{0,0,0.5}
\definecolor{pink}{rgb}{1,0.5,0}
\definecolor{yellow}{rgb}{1,0.5,0.5}
\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{0.4cm}
\obrMsr[x=\delka,y=\delka]{-5.5}{4.5}{-3.5}{5.5}
{\footnotesize
\begin{scope}
\obrClip
\draw[help lines,xstep=\delka,ystep=\delka] (-6,-5) grid (8,6);
\end{scope}
\draw[->](\MsrXmin,0)--(\MsrXmax,0) node[right] {$\mathrm{Re}(z)$};
\draw[->](0,\MsrYmin)--(0,\MsrYmax) node[above] {$\mathrm{Im}(z)$};
\foreach \a/\b/\jmeno/\barva in
{-3/-2/A/blue, -2/3/B/red, 0/2/C/purple, 2/-3/D/green, 2/3/E/yellow, -3/2/F/pink, 0/-2/G/darkblue}
{\color{\barva} \draw (\a,\b) node [above right] {$\jmeno$};
\draw[thick] (\a-0.2,\b)--(\a+0.2,\b);
\draw[thick] (\a,\b-0.2)--(\a,\b+0.2);
}
\foreach \X in {-5,-4,-3,-2,-1,1,2,3,4} {\draw (\X,0) node [below,xshift=2pt] {\footnotesize$\X$};}
\foreach \Y in {-3,-2,-1,1,2,3,4} {\draw (0,\Y) node [left,yshift=-2pt] {\footnotesize$\Y$};}
}
\end{minipage}}