Free Printable Kružnice, elipsa

1.

Rovnice daného útvaru je

a)

$\left(x+3\right)^2+\left(y-2\right)^2=4$

b)

$\left(x-3\right)^2+\left(y+2\right)^2=4$

c)

$\left(x+3\right)^2+\left(y-2\right)^2=2$

d)

$\left(x-3\right)^2+\left(y+2\right)^2=2$

2.

Rovnice daného útvaru je

a)

$\frac{\left(x-1\right)^2}{9}+\frac{\left(y+2\right)^2}{1}=1$

b)

$\frac{\left(x+1\right)^2}{9}+\frac{\left(y-2\right)^2}{1}=1$

c)

$\frac{\left(x-1\right)^2}{3}+\frac{\left(y+2\right)^2}{1}=1$

d)

$\frac{\left(x+1\right)^2}{3}+\frac{\left(y-2\right)^2}{1}=1$

3.

V elipse

\frac{\left(x-5\right)^2}{25}+\frac{\left(y+2\right)^2}{4}=1

platí

a)

$S[5,-2],\ a=5,\ b=2$

b)

$S[-5,2],\ a=5,\ b=2$

c)

$S[5,-2],\ a=25,\ b=4$

d)

$S[-5,2],\ a=25,\ b=4$

4.

\frac{\left(x+1\right)^2}{16}+\frac{\left(y-4\right)^2}{9}=1

hodnota excentricity e= v elipse je

a)

$\sqrt{7}$

b)

$5$

c)

$1$

d)

$7$

5.

Je dán bod

A[3,-4]

a kružnice

\left(x-1\right)^2+\left(y+2\right)^2=25

. Kde leží bod A vůči kružnici?

a)

uvnitř kružnice

b)

na kružnici

c)

vně kružnice

d)

nelze určit

6.

$S[-2,3],\ r=\sqrt{7}$

rovnice této kružnice je

a)

$\left(x+2\right)^2+\left(y-3\right)^2=7$

b)

$\left(x-2\right)^2+\left(y+3\right)^2=7$

c)

$\left(x+2\right)^2+\left(y-3\right)^2=\sqrt{7}$

d)

$\left(x-2\right)^2+\left(y+3\right)^2=\sqrt{7}$

7.

$S[-6,-4],\ a=\sqrt{5},\ b=\sqrt{2}$ rovnice této elipsy je

a)

$\frac{\left(x+6\right)^2}{5}+\frac{\left(y+4\right)^2}{2}=1$

b)

$\frac{\left(x-6\right)^2}{5}+\frac{\left(y-4\right)^2}{2}=1$

c)

$\frac{\left(x+6\right)^2}{\sqrt{5}}+\frac{\left(y+4\right)^2}{\sqrt{2}}=1$

d)

$\frac{\left(x-6\right)^2}{\sqrt{5}}+\frac{\left(y-4\right)^2}{\sqrt{2}}=1$

8.

$\frac{\left(x-3\right)^2}{10}+\frac{y^2}{15}=1$ poloha této elipsy a její střed je

a)

nastojato, $S[3,0]$

b)

nastojato, $S[3,1]$

c)

naležato, $S[3,0]$

d)

naležato, $S[3,1]$

9.

$\left(x-3\right)^2+\left(y+1\right)^2=1$ obecná rovnice této kružnice je

a)

$x^2+y^2-6x+2y+9=0$

b)

$x^2+y^2-6x+2y-9=0$

c)

$x^2+y^2+6x-2y+9=0$

d)

$x^2+y^2-6x+2y+10=0$

10.

$4x^2-24x$

úpravou výrazu získáme

a)

$4\left(x-3\right)^2-36$

b)

$4\left(x-3\right)^2-9$

c)

$4\left(x-3\right)^2+36$

d)

$4\left(x-12\right)^2-36$

Kružnice, elipsa

Total questions: 10

Worksheet time: 22mins

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