Project ID:
6000000036
Accepted:
Typ:
Layout:
Question:
K předpisu funkce přiřaďte její graf:
Question 1 Image:
Answer 1:
$f(x)=\sin (3x)$
Question 2 Image:
Answer 2:
$f(x)=\cos \!\left (2x+\frac {\pi }2\right )$
Question 3 Image:
Answer 3:
$f(x)=-\sin (2x+\pi )$
Question 4 Image:
Answer 4:
$f(x)=-\sin \!\left (x-\frac {\pi }2\right )$
Answer 5:
$f(x)=-\sin (3x)$
Answer 6:
$f(x)=-\sin \!\left (x+\frac {\pi }2\right )$
Tex:
% tiket 32577
\NastavOD{3}
\NastavOT{3}
\otazka{\obrA}{$f(x)=\sin(3x)$}
\otazka{\obrB}{$f(x)=\cos\!\left(2x+\frac{\pi}2\right)$}
\otazka{\obrC}{$f(x)=-\sin(2x+\pi)$}
\otazka{\obrD}{$f(x)=-\sin\!\left(x-\frac{\pi}2\right)$}
\fake{$f(x)=-\sin(3x)$}
\fake{$f(x)=-\sin\!\left(x+\frac{\pi}2\right)$}
\def\delka{0.35cm}
\def\PI{3.14}
\def\obrA{
\obrMsr[x=\delka,y=2*\delka]{-3*\PI}{3*\PI}{-3}{3}
{
\footnotesize
\obrClip
\obrOsaX[above left]
\obrOsaY[below right]
\obrPopisY[left]{-2,-1,1,2}
\obrZnackyX{-2*\PI,-\PI,\PI,2*\PI}
\draw[gray!30,thin] (-2*\PI,-3) -- (-2*\PI,3);
\draw[gray!30,thin] (-\PI,-3) -- (-\PI,3);
\draw[gray!30,thin] (\PI,-3) -- (\PI,3);
\draw[gray!30,thin] (2*\PI,-3) -- (2*\PI,3);
\draw[gray!30,thin] (-3*\PI,-2) -- (3*\PI,-2);
\draw[gray!30,thin] (-3*\PI,-1) -- (3*\PI,-1);
\draw[gray!30,thin] (-3*\PI,1) -- (3*\PI,1);
\draw[gray!30,thin] (-3*\PI,2) -- (3*\PI,2);
\draw (-2*\PI,0) node [below]{$-2\pi$};
\draw (-\PI,0) node [below]{$-\pi$};
\draw (\PI,0) node [below]{$\pi$};
\draw (2*\PI,0) node [below]{$2\pi$};
\draw[thick] (-18*\PI/6,0) sin (-17*\PI/6,-1) cos (-16*\PI/6,0) sin (-15*\PI/6,1) cos (-14*\PI/6,0) sin (-13*\PI/6,-1) cos (-12*\PI/6,0) sin (-11*\PI/6,1) cos (-10*\PI/6,0) sin (-9*\PI/6,-1) cos (-8*\PI/6,0) sin (-7*\PI/6,1) cos (-6*\PI/6,0) sin (-5*\PI/6,-1) cos (-4*\PI/6,0) sin (-3*\PI/6,1) cos (-2*\PI/6,0) sin (-\PI/6,-1) cos (0,0) sin (\PI/6,1) cos (2*\PI/6,0) sin (3*\PI/6,-1) cos (4*\PI/6,0) sin (5*\PI/6,1) cos (6*\PI/6,0) sin (7*\PI/6,-1) cos (8*\PI/6,0) sin (9*\PI/6,1) cos (10*\PI/6,0) sin (11*\PI/6,-1) cos (12*\PI/6,0) sin (13*\PI/6,1) cos (14*\PI/6,0) sin (15*\PI/6,-1) cos (16*\PI/6,0) sin (17*\PI/6,1) cos (18*\PI/6,0);
}
}
\def\obrB{
\obrMsr[x=\delka,y=2*\delka]{-3*\PI}{3*\PI}{-3}{3}
{
\footnotesize
\obrClip
\obrOsaX[above left]
\obrOsaY[below right]
\obrPopisY[left]{-2,-1,1,2}
\obrZnackyX{-2*\PI,-\PI,\PI,2*\PI}
\draw[gray!30,thin] (-2*\PI,-3) -- (-2*\PI,3);
\draw[gray!30,thin] (-\PI,-3) -- (-\PI,3);
\draw[gray!30,thin] (\PI,-3) -- (\PI,3);
\draw[gray!30,thin] (2*\PI,-3) -- (2*\PI,3);
\draw[gray!30,thin] (-3*\PI,-2) -- (3*\PI,-2);
\draw[gray!30,thin] (-3*\PI,-1) -- (3*\PI,-1);
\draw[gray!30,thin] (-3*\PI,1) -- (3*\PI,1);
\draw[gray!30,thin] (-3*\PI,2) -- (3*\PI,2);
\draw (-2*\PI,0) node [below]{$-2\pi$};
\draw (-\PI,0) node [below]{$-\pi$};
\draw (\PI,0) node [below]{$\pi$};
\draw (2*\PI,0) node [below]{$2\pi$};
\draw[thick] (-12*\PI/4,0) sin (-11*\PI/4,-1) cos (-10*\PI/4,0) sin (-9*\PI/4,1) cos (-8*\PI/4,0) sin (-7*\PI/4,-1) cos (-6*\PI/4,0) sin (-5*\PI/4,1) cos (-4*\PI/4,0) sin (-3*\PI/4,-1) cos (-2*\PI/4,0) sin (-\PI/4,1) cos (0,0) sin (\PI/4,-1) cos (2*\PI/4,0) sin (3*\PI/4,1) cos (4*\PI/4,0) sin (5*\PI/4,-1) cos (6*\PI/4,0) sin (7*\PI/4,1) cos (8*\PI/4,0) sin (9*\PI/4,-1) cos (10*\PI/4,0) sin (11*\PI/4,1) cos (12*\PI/4,0);
}
}
\def\obrC{
\obrMsr[x=\delka,y=2*\delka]{-3*\PI}{3*\PI}{-3}{3}
{
\footnotesize
\obrClip
\obrOsaX[above left]
\obrOsaY[below right]
\obrPopisY[left]{-2,-1,1,2}
\obrZnackyX{-2*\PI,-\PI,\PI,2*\PI}
\draw[gray!30,thin] (-2*\PI,-3) -- (-2*\PI,3);
\draw[gray!30,thin] (-\PI,-3) -- (-\PI,3);
\draw[gray!30,thin] (\PI,-3) -- (\PI,3);
\draw[gray!30,thin] (2*\PI,-3) -- (2*\PI,3);
\draw[gray!30,thin] (-3*\PI,-2) -- (3*\PI,-2);
\draw[gray!30,thin] (-3*\PI,-1) -- (3*\PI,-1);
\draw[gray!30,thin] (-3*\PI,1) -- (3*\PI,1);
\draw[gray!30,thin] (-3*\PI,2) -- (3*\PI,2);
\draw (-2*\PI,0) node [below]{$-2\pi$};
\draw (-\PI,0) node [below]{$-\pi$};
\draw (\PI,0) node [below]{$\pi$};
\draw (2*\PI,0) node [below]{$2\pi$};
\draw[thick] (-12*\PI/4,0) sin (-11*\PI/4,1) cos (-10*\PI/4,0) sin (-9*\PI/4,-1) cos (-8*\PI/4,0) sin (-7*\PI/4,1) cos (-6*\PI/4,0) sin (-5*\PI/4,-1) cos (-4*\PI/4,0) sin (-3*\PI/4,1) cos (-2*\PI/4,0) sin (-\PI/4,-1) cos (0,0) sin (\PI/4,1) cos (2*\PI/4,0) sin (3*\PI/4,-1) cos (4*\PI/4,0) sin (5*\PI/4,1) cos (6*\PI/4,0) sin (7*\PI/4,-1) cos (8*\PI/4,0) sin (9*\PI/4,1) cos (10*\PI/4,0) sin (11*\PI/4,-1) cos (12*\PI/4,0);
}
}
\def\obrD{
\obrMsr[x=\delka,y=2*\delka]{-3*\PI}{3*\PI}{-3}{3}
{
\footnotesize
\obrClip
\obrOsaX[above left]
\obrOsaY[below right]
\obrPopisY[left]{-2,-1,1,2}
\obrZnackyX{-2*\PI,-\PI,\PI,2*\PI}
\draw[gray!30,thin] (-2*\PI,-3) -- (-2*\PI,3);
\draw[gray!30,thin] (-\PI,-3) -- (-\PI,3);
\draw[gray!30,thin] (\PI,-3) -- (\PI,3);
\draw[gray!30,thin] (2*\PI,-3) -- (2*\PI,3);
\draw[gray!30,thin] (-3*\PI,-2) -- (3*\PI,-2);
\draw[gray!30,thin] (-3*\PI,-1) -- (3*\PI,-1);
\draw[gray!30,thin] (-3*\PI,1) -- (3*\PI,1);
\draw[gray!30,thin] (-3*\PI,2) -- (3*\PI,2);
\draw (-2*\PI,0) node [below]{$-2\pi$};
\draw (-\PI,0) node [below]{$-\pi$};
\draw (\PI,0) node [below]{$\pi$};
\draw (2*\PI,0) node [below]{$2\pi$};
\draw[thick] (-6*\PI/2,-1) cos (-5*\PI/2,0) sin (-4*\PI/2,1) cos (-3*\PI/2,0) sin (-2*\PI/2,-1) cos (-\PI/2,0) sin (0,1) cos (\PI/2,0) sin (2*\PI/2,-1) cos (3*\PI/2,0) sin (4*\PI/2,1) cos (5*\PI/2,0) sin (6*\PI/2,-1) ;
}
}