KVIZ - Elipsa - GeoGebra

1. Kako glasi kanonska jednadžba elipse?

[math]\frac{x^2}{a^2}+\frac{y^2}{b^2}=1[/math] [math]e=\sqrt{a^2-b^2}[/math] [math]\frac{\left(x-p\right)^2}{a^2}+\frac{\left(y-q\right)^2}{b^2}=1[/math]

2. Koje su koordinate rubnih točaka velike osi elipse?

[img]https://1.bp.blogspot.com/-khLlbgXTtzc/T_8SYvRmCPI/AAAAAAAADp8/JZuNf78owpc/s1600/elipsa+-+1.gif[/img]

B' (0,-b), B (0,b) [color=#222222]A[/color]' (-a,0) , A (a,0) [math]F_1\left(e,0\right)[/math], [math]F_2\left(-e,0\right)[/math]

3. Koja je kanonska jednadžba elipse ako je zadano a=4 i b=3?

[math]\frac{x^2}{25}+\frac{y^2}{16}=1[/math] [math]\frac{x^2}{16}+\frac{y^2}{9}=1[/math] [math]\frac{x^2}{9}+\frac{y^2}{64}=1[/math]

4. Koliko je a i b ako je zadana jednadžba elipse?

[img]data:image/png;base64,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[/img]

a=4, b= 5 a=4, b=3 a=5, b=4

5. Ako je poznata jednadžba elipse [math]\frac{x^2}{100}+\frac{y^2}{36}=1[/math], koordinate fokusa su

[math]F_1\left(-64,0\right),F_2\left(64,0\right)[/math] [math]F_1\left(-8,0\right),F_2\left(8,0\right)[/math] [math]F_1\left(0,-8\right),F_2\left(0,8\right)[/math]

KVIZ - Elipsa

2. Koje su koordinate rubnih točaka velike osi elipse?

4. Koliko je a i b ako je zadana jednadžba elipse?

Information: KVIZ - Elipsa