Project ID:
6000000057
Accepted:
Typ:
Layout:
Question:
Dana jest prosta określona wykresem (spójrz na rysunek). Wybierz jej równanie kierunkowe.
Question 1:
{\obrA}
Question 1 Image:
Answer 1:
$y=\frac52x-2$
Question 2:
{\obrB}
Question 2 Image:
Answer 2:
$y=-x+3$
Question 3:
{\obrC}
Question 3 Image:
Answer 3:
$y=-1{,}5x+3$
Question 4:
{\obrD}
Question 4 Image:
Answer 4:
$y=-0{,}5x-2$
Question 5:
{\obrE}
Question 5 Image:
Answer 5:
$y=-\frac13x-2$
Question 6:
{\obrF}
Question 6 Image:
Answer 6:
$y=\frac13x-1$
Tex:
% tiket 32826
\NastavOD{3}
\def\obrA{\obrMsr[x=0.4cm,y=0.4cm]{-6}{6}{-6}6
{
\footnotesize
\coordinate (A) at (0,-2);
\coordinate (B) at (2,3);
\obrClip
\draw[gray!30,thin,step=1] (-6,-6) grid (6,6);
\obrOsaX[above left]
\obrOsaY[below right]
\obrPopisX[below]{-4,-2,2,4}
\obrPopisY[left]{-4,-2,2,4}
\obrZnackyX{-5,-3,-1,1,3,5}
\obrZnackyY{-5,-3,-1,1,3,5}
\obrFce{5/2*(\x)-2}
\draw[red] (3,4) node []{$p$};
\begin{scope}[blue,thick]
\obrKrizek[2pt]{A}{}{}
\obrKrizek[2pt]{B}{}{}
\end{scope}
}}
\def\obrB{\obrMsr[x=0.4cm,y=0.4cm]{-6}{6}{-6}6
{
\footnotesize
\coordinate (A) at (-2,5);
\coordinate (B) at (3,0);
\obrClip
\draw[gray!30,thin,step=1] (-6,-6) grid (6,6);
\obrOsaX[above left]
\obrOsaY[below right]
\obrPopisX[below]{-4,-2,2,4}
\obrPopisY[left]{-4,-2,2,4}
\obrZnackyX{-5,-3,-1,1,3,5}
\obrZnackyY{-5,-3,-1,1,3,5}
\obrFce{-(\x)+3}
\draw[red] (-2,4) node []{$s$};
\begin{scope}[blue,thick]
\obrKrizek[2pt]{A}{}{}
\obrKrizek[2pt]{B}{}{}
\end{scope}
}}
\def\obrC{\obrMsr[x=0.4cm,y=0.4cm]{-6}{6}{-6}6
{
\footnotesize
\coordinate (A) at (0,3);
\coordinate (B) at (4,-3);
\obrClip
\draw[gray!30,thin,step=1] (-6,-6) grid (6,6);
\obrOsaX[above left]
\obrOsaY[below right]
\obrPopisX[below]{-4,-2,2,4}
\obrPopisY[left]{-4,-2,2,4}
\obrZnackyX{-5,-3,-1,1,3,5}
\obrZnackyY{-5,-3,-1,1,3,5}
\obrFce{-1.5*(\x)+3}
\draw[red] (2,1) node []{$t$};
\begin{scope}[blue,thick]
\obrKrizek[2pt]{A}{}{}
\obrKrizek[2pt]{B}{}{}
\end{scope}
}}
\def\obrD{\obrMsr[x=0.4cm,y=0.4cm]{-6}{6}{-6}6
{
\footnotesize
\coordinate (A) at (-2,-1);
\coordinate (B) at (2,-3);
\obrClip
\draw[gray!30,thin,step=1] (-6,-6) grid (6,6);
\obrOsaX[above left]
\obrOsaY[below right]
\obrPopisX[below]{-4,-2,2,4}
\obrPopisY[left]{-4,-2,2,4}
\obrZnackyX{-5,-3,-1,1,3,5}
\obrZnackyY{-5,-3,-1,1,3,5}
\obrFce{-0.5*(\x)-2}
\draw[red] (3,-3) node []{$q$};
\begin{scope}[blue,thick]
\obrKrizek[2pt]{A}{}{}
\obrKrizek[2pt]{B}{}{}
\end{scope}
}}
\def\obrE{\obrMsr[x=0.4cm,y=0.4cm]{-6}{6}{-6}6
{
\footnotesize
\coordinate (A) at (-3,-1);
\coordinate (B) at (3,-3);
\obrClip
\draw[gray!30,thin,step=1] (-6,-6) grid (6,6);
\obrOsaX[above left]
\obrOsaY[below right]
\obrPopisX[below]{-4,-2,2,4}
\obrPopisY[left]{-4,-2,2,4}
\obrZnackyX{-5,-3,-1,1,3,5}
\obrZnackyY{-5,-3,-1,1,3,5}
\obrFce{-1/3*(\x)-2}
\draw[red] (2,-2) node []{$r$};
\begin{scope}[blue,thick]
\obrKrizek[2pt]{A}{}{}
\obrKrizek[2pt]{B}{}{}
\end{scope}
}}
\def\obrF{\obrMsr[x=0.4cm,y=0.4cm]{-6}{6}{-6}6
{
\footnotesize
\coordinate (A) at (-3,-2);
\coordinate (B) at (3,0);
\obrClip
\draw[gray!30,thin,step=1] (-6,-6) grid (6,6);
\obrOsaX[above left]
\obrOsaY[below right]
\obrPopisX[below]{-4,-2,2,4}
\obrPopisY[left]{-4,-2,2,4}
\obrZnackyX{-5,-3,-1,1,3,5}
\obrZnackyY{-5,-3,-1,1,3,5}
\obrFce{1/3*(\x)-1}
\draw[red] (-2,-2) node [below]{$k$};
\begin{scope}[blue,thick]
\obrKrizek[2pt]{A}{}{}
\obrKrizek[2pt]{B}{}{}
\end{scope}
}}