Project ID:
6000000064
Accepted:
Typ:
Layout:
Question:
Určte všeobecnú rovnicu roviny znázornenej na obrázku.
Questions Title:
Rovina:
Answers Title:
Všeobecné rovnice rovín:
Question 1:
{\obrA}
Question 1 Image:
Answer 1:
$z-3=0$
Question 2:
{\obrB}
Question 2 Image:
Answer 2:
$3y+5z-15=0$
Question 3:
{\obrC}
Question 3 Image:
Answer 3:
$5x+3y-15=0$
Question 4:
{\obrD}
Question 4 Image:
Answer 4:
$5x+3y+3z-15=0$
Question 5:
{\obrE}
Question 5 Image:
Answer 5:
$5x+5y+3z-15=0$
Question 6:
{\obrF}
Question 6 Image:
Answer 6:
$3x+5y+3z-15=0$
Answer 7:
$3x+3y+5z-15=0$
Answer 8:
$5x+3y+5z-15=0$
Tex:
% tiket 32956
\NastavOD{2}
\def\obrA{\obrMsr[x=0.25cm,y=0.25cm,z=0.15cm]{-4}{4}{-3}7
{
\footnotesize
\coordinate (A) at (0,3,0);
\fill[red!30] (0,3,0) -- (6,3,0) -- (6,3,-6) -- (0,3,-6) -- cycle;
\draw[red,thick] (0,3,-6) -- (0,3,0) -- (6,3,0);
\draw[-latex] (0,0,0) -- (0,0,-6) node [above left]{$x$};
\draw[-latex] (0,0,0) -- (6,0,0) node [above]{$y$};
\draw[-latex] (0,0,0) -- (0,6,0) node [right]{$z$};
\begin{scope}[thick,blue]
\obrKrizek[2pt]{A}{above right}{\color{black}3}
\end{scope}
}}
\def\obrB{\obrMsr[x=0.2cm,y=0.25cm,z=0.15cm]{-4}{4}{-3}7
{
\footnotesize
\coordinate (A) at (0,3,0);
\coordinate (B) at (5,0,0);
\fill[red!30] (0,3,0) -- (5,0,0) -- (5,0,-6) -- (0,3,-6) -- cycle;
\draw[red,thick] (0,3,-6) -- (0,3,0) -- (5,0,0) -- (5,0,-6);
\draw[-latex] (0,0,0) -- (0,0,-6) node [above left]{$x$};
\draw[-latex] (0,0,0) -- (8,0,0) node [above]{$y$};
\draw[-latex] (0,0,0) -- (0,6,0) node [right]{$z$};
\begin{scope}[thick,blue]
\obrKrizek[2pt]{A}{above right}{\color{black}3}
\obrKrizek[2pt]{B}{above right}{\color{black}5}
\end{scope}
}}
\def\obrC{\obrMsr[x=0.2cm,y=0.25cm,z=0.15cm]{-4}{4}{-3}7
{
\footnotesize
\coordinate (A) at (0,0,-3);
\coordinate (B) at (5,0,0);
\fill[red!30] (0,0,-3) -- (0,6,-3) -- (5,6,0) -- (5,0,0) -- cycle;
\draw[red,thick] (0,6,-3) -- (0,0,-3) -- (5,0,0) -- (5,6,0);
\draw[-latex] (0,0,0) -- (0,0,-6) node [above left]{$x$};
\draw[-latex] (0,0,0) -- (8,0,0) node [above]{$y$};
\draw[-latex] (0,0,0) -- (0,6,0) node [right]{$z$};
\begin{scope}[thick,blue]
\obrKrizek[2pt]{A}{above left}{\color{black}3}
\obrKrizek[2pt]{B}{above right}{\color{black}5}
\end{scope}
}}
\def\obrD{\obrMsr[x=0.2cm,y=0.2cm,z=0.15cm]{-4}{4}{-3}7
{
\footnotesize
\coordinate (A) at (0,0,-3);
\coordinate (B) at (5,0,0);
\coordinate (C) at (0,5,0);
\fill[red!30] (0,0,-3) -- (0,5,0) -- (5,0,0) -- cycle;
\draw[red,thick] (0,0,-3) -- (0,5,0) -- (5,0,0) -- cycle;
\draw[-latex] (0,0,0) -- (0,0,-6) node [above left]{$x$};
\draw[-latex] (0,0,0) -- (8,0,0) node [above]{$y$};
\draw[-latex] (0,0,0) -- (0,8,0) node [right]{$z$};
\begin{scope}[thick,blue]
\obrKrizek[2pt]{A}{above left}{\color{black}3}
\obrKrizek[2pt]{B}{above right}{\color{black}5}
\obrKrizek[2pt]{C}{above right}{\color{black}5}
\end{scope}
}}
\def\obrE{\obrMsr[x=0.25cm,y=0.2cm,z=0.15cm]{-4}{4}{-3}7
{
\footnotesize
\coordinate (A) at (0,0,-3);
\coordinate (B) at (3,0,0);
\coordinate (C) at (0,5,0);
\fill[red!30] (0,0,-3) -- (0,5,0) -- (3,0,0) -- cycle;
\draw[red,thick] (0,0,-3) -- (0,5,0) -- (3,0,0) -- cycle;
\draw[-latex] (0,0,0) -- (0,0,-6) node [above left]{$x$};
\draw[-latex] (0,0,0) -- (6,0,0) node [above]{$y$};
\draw[-latex] (0,0,0) -- (0,8,0) node [right]{$z$};
\begin{scope}[thick,blue]
\obrKrizek[2pt]{A}{above left}{\color{black}3}
\obrKrizek[2pt]{B}{above right}{\color{black}3}
\obrKrizek[2pt]{C}{above right}{\color{black}5}
\end{scope}
}}
\def\obrF{\obrMsr[x=0.25cm,y=0.2cm,z=0.1cm]{-4}{4}{-3}7
{
\footnotesize
\coordinate (A) at (0,0,-5);
\coordinate (B) at (3,0,0);
\coordinate (C) at (0,5,0);
\fill[red!30] (0,0,-5) -- (0,5,0) -- (3,0,0) -- cycle;
\draw[red,thick] (0,0,-5) -- (0,5,0) -- (3,0,0) -- cycle;
\draw[-latex] (0,0,0) -- (0,0,-8) node [above left]{$x$};
\draw[-latex] (0,0,0) -- (6,0,0) node [above]{$y$};
\draw[-latex] (0,0,0) -- (0,8,0) node [right]{$z$};
\begin{scope}[thick,blue]
\obrKrizek[2pt]{A}{above left}{\color{black}5}
\obrKrizek[2pt]{B}{above right}{\color{black}3}
\obrKrizek[2pt]{C}{above right}{\color{black}5}
\end{scope}
}}