Równanie ogólne płaszczyzny

Project ID: 
6000000064
Accepted: 
Typ: 
Layout: 
Question: 
Wskaż równanie ogólne płaszczyzny pokazanej na rysunku.
Questions Title: 
Płaszczyzny:
Answers Title: 
Równania ogólne:
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} }}