MA - elipsa, úkol

Příklad

a=4

b=3

S(0;0)

Rovnice hyperboly, narýsovat

x²/16-y²/9=1

109/3,3a

Rovnice elipsy:

S(0;3)

C(3;3)

A(0;-2)

a=5

b=3

x²/9+(y-3)²/25=1

109/3,4c

16x²+25y²-64x+150y-111=0

16x²-64x+64+25y²+150y+225-111=289

16x²-64x+64+25y²+150y+225=400

(4x-8)²+(5y+15)²=400

(4x-8)²/400+(5y+15)²/400=1

4(x-2)²/20²+5(y+3)²/20²=1

(x-2)²/5²+(y+3)²/4²=1

a=5

b=4

e=odm 5²-4²=3

S(2;-3)

hlavní osa||x

A(-3;-3)

B(7;-3)

C(2;-7)

D(2;1)

E(5;-3)

F(-1;-3)