Project ID:
6000000076
Accepted:
Typ:
Layout:
Question:
Přiřaďte modrým oblastem jejich obsah.
Question 1:
{\obrA}
Question 1 Image:
Answer 1:
$\frac23$
Question 2:
{\obrB}
Question 2 Image:
Answer 2:
$1-\frac{\sqrt3}2$
Question 3:
{\obrC}
Question 3 Image:
Answer 3:
$\frac74$
Question 4:
{\obrD}
Question 4 Image:
Answer 4:
$4$
Question 5:
{\obrE}
Question 5 Image:
Answer 5:
$\frac92$
Question 6:
{\obrF}
Question 6 Image:
Answer 6:
$\frac73$
Answer 7:
$\frac{23}5$
Answer 8:
$1+\sqrt 2$
Tex:
% tiket 33033
\NastavOD{4}
\def\PI{3.14}
\def\obrA{\obrMsr[x=1cm,y=1cm]{-1}{4}{-1}3
{
\footnotesize
\obrClip
\fill[cyan!30,variable=\x,domain=0:1] (0,0) plot ({\x},{(\x)^(1/2)}) -- (1,0) -- cycle;
\draw[gray!30,thin,step=1] (-1,-1) grid (4,3);
\obrOsaX[above left]
\obrOsaY[below right]
\obrPopisX[below]{1,2,3}
\obrPopisY[left]{1,2}
\obrFce[black,domain=0:4]{(\x)^(1/2)}
\draw (2,1) node []{$y=\sqrt x$};
}}
\def\obrB{\obrMsr[x=1cm,y=2cm]{-\PI/4}{5*\PI/4}{-0.5}{1.5}
{
\footnotesize
\obrClip
\fill[cyan!30] (0,0) sin (\PI/2,1) cos (\PI,0) -- cycle;
\fill[white] (0,0) sin (\PI/2,1) cos (5*\PI/6,0.5) -- (5*\PI/6,0) -- cycle;
\draw[thin,gray!30] (\PI,-0.5) -- (\PI,1.5);
\draw[thin,gray!30] (-\PI/4,0.5) -- (5*\PI/4,0.5);
\draw[thin,gray!30] (-\PI/4,1) -- (5*\PI/4,1);
\obrOsaX[above left]
\obrOsaY[below right]
\obrZnackyX{2.6167,\PI}
\obrPopisY[left]{0.5,1}
\draw[thick] (0,0) sin (\PI/2,1) cos (\PI,0) sin (3*\PI/2,-1);
\draw (\PI/2,1) node [above]{$y=\sin x$};
\draw (\PI,0) node [below, yshift=-1pt]{$\pi$};
\draw (2.6167,0) node [below, yshift=-1pt]{$\frac{5\pi}{6}$};
}}
\def\obrC{\obrMsr[x=1cm,y=0.8cm]{-2}{3}{-1}4
{
\footnotesize
\obrClip
\fill[cyan!30,variable=\x,domain=0:1] (0,0) -- plot ({\x},{-(\x)^(3)+2}) -- (1,0) -- cycle;
\draw[gray!30,thin,step=1] (-2,-1) grid (3,4);
\obrOsaX[above left]
\obrOsaY[below right]
\obrPopisX[below]{-1,1,2}
\obrPopisY[left]{1,2,3}
\obrFce[black]{-(\x)^(3)+2}
\draw (1,2) node [right]{$y=-x^3+2$};
}}
\def\obrD{\obrMsr[x=1cm,y=0.8cm]{-2}{3}{-1}4
{
\footnotesize
\obrClip
\fill[cyan!30,variable=\x,domain=-1:1] (-1,0) -- plot ({\x},{(\x)^(3)+2}) -- (1,0) -- cycle;
\draw[gray!30,thin,step=1] (-2,-1) grid (3,4);
\obrOsaX[above left]
\obrOsaY[below right]
\obrPopisX[below]{-1,1,2}
\obrPopisY[left]{1,2,3}
\obrFce[black]{(\x)^(3)+2}
\draw (1,3) node [right]{$y=x^3+2$};
}}
\def\obrE{\obrMsr[x=0.8cm,y=0.9cm]{-3*\PI/4}{5*\PI/4}{-3.5}{3.5}
{
\footnotesize
\obrClip
\fill[cyan!30] (-\PI/6,0) -- (-\PI/6,2.5981) sin (0,3) cos (\PI/2,0) -- cycle;
\draw[thin,gray!30] (-\PI/2,-3.5) -- (-\PI/2,3.5);
\draw[thin,gray!30] (\PI/2,-3.5) -- (\PI/2,3.5);
\draw[thin,gray!30] (\PI,-3.5) -- (\PI,3.5);
\draw[thin,gray!30] (-3*\PI/4,-3) -- (7*\PI/4,-3);
\draw[thin,gray!30] (-3*\PI/4,-2) -- (7*\PI/4,-2);
\draw[thin,gray!30] (-3*\PI/4,-1) -- (7*\PI/4,-1);
\draw[thin,gray!30] (-3*\PI/4,1) -- (7*\PI/4,1);
\draw[thin,gray!30] (-3*\PI/4,2) -- (7*\PI/4,2);
\draw[thin,gray!30] (-3*\PI/4,3) -- (7*\PI/4,3);
\obrOsaX[above left]
\obrOsaY[below right]
\obrZnackyX{-1.57,-0.5233,1.57,\PI}
\obrPopisY[left]{-3,-2,-1,1,2,3}
\draw[thick] (-\PI,-3) cos (-\PI/2,0) sin (0,3) cos (\PI/2,0) sin (\PI,-3) cos (3*\PI/2,0);
\draw (\PI/2,1) node [right]{$y=3\cos x$};
\draw (\PI,0) node [below, yshift=-1pt]{$\pi$};
\draw (-0.5233,0) node [below, yshift=-1pt]{$-\frac{\pi}{6}$};
\draw (-1.57,0) node [below, yshift=-1pt]{$-\frac{\pi}{2}$};
\draw (1.57,0) node [below, yshift=-1pt]{$\frac{\pi}{2}$};
}}
\def\obrF{\obrMsr[x=0.8cm,y=0.8cm]{-2}{4}{-1}5
{
\footnotesize
\obrClip
\fill[cyan!30,variable=\x,domain=1:2] (1,0) -- plot ({\x},{(\x)^(2)}) -- (2,0) -- cycle;
\draw[gray!30,thin,step=1] (-2,-1) grid (4,5);
\obrOsaX[above left]
\obrOsaY[below right]
\obrPopisX[below]{-1,1,2,3}
\obrPopisY[left]{1,2,3,4}
\obrFce[black,domain=-2:3]{(\x)^(2)}
\draw (2,4) node [right]{$y=x^2$};
}}