Iperbole

Question 1

Equazione Iperbole Interseca Asse x con C=(0.0)

Answer 1

x^2/a^2-y^2/b^2 = 1

Question 2

Semiasse Orizzontale (Iperbole)

Answer 2

a

Question 3

Semiasse Verticale (Iperbole)

Answer 3

b

Question 4

Asse Orizzontale (Iperbole)

Answer 4

2a

Question 5

Asse Verticale (Iperbole)

Answer 5

2b

Question 6

Vertici Iperbole Interseca Asse x con C=(0.0)

Answer 6

V1 = (-a,0) ; V2 = (a,0)

Question 7

Fuochi Iperbole Interseca Asse x con C=(0.0)

Answer 7

F1 = (-c,0) ; F2 = (c,0)

Question 8

Equazione Semidistanza Focale

Answer 8

c = sqrt(a^2+b^2)

Question 9

Asintoti Iperbole Interseca Asse x con C=(0.0)

Answer 9

y= ±(b/a)x

Question 10

Eccentricità Iperbole Interseca Asse x con C=(0.0)

Answer 10

e=c/a

Question 11

Equazione Iperbole Traslata Interseca Asse x

Answer 11

(x-xc)^2/a^2 - (y-yc)^2/b^2 = 1

Question 12

Assi Iperbole Traslata Interseca Asse x

Answer 12

x=xc ; y=yc

Question 13

Vertici Iperbole Traslata Interseca Asse x

Answer 13

V1 = (xc-a, yc) ; V2 = (xc+a, yc)

Question 14

Fuochi Iperbole Traslata Interseca Asse x

Answer 14

F1 = (xc-c, yc) ; F2 = (xc+c, yc)

Question 15

Asintoti Iperbole Traslata Interseca Asse x/y

Answer 15

(y-yc) = ± (b/a)(x-xc)

Question 16

Equazione Iperbole Interseca Asse y con C=(0.0)

Answer 16

x^2/a^2 - y^2/b^2 = -1

Question 17

Vertici Iperbole Interseca Asse y con C=(0.0)

Answer 17

V1= (0.-b) ; V2= (0,b)

Question 18

Fuochi Iperbole Interseca Asse y con C=(0.0)

Answer 18

F1=(0,-c) ; F2=(0,c)

Question 19

Asintoti Iperbole Interseca Asse y con C=(0.0)

Answer 19

y=±(b/a)x

Question 20

Eccentricità Iperbole Interseca Asse y con C=(0.0)

Answer 20

e= c/b

Question 21

Equazione Iperbole Interseca Asse y

Answer 21

(x-xc)^2/a^2 - (y-yc)^2/b^2 = -1

Question 22

Vertici Iperbole Interseca Asse y

Answer 22

V1 = (xc, yc-b) ; V2 = (xc, yc+b)

Question 23

Fuochi Iperbole Interseca Asse y

Answer 23

F1 = (xc, yc -c) ; F2 = (xc, yc+c)

Question 24

Equazione Iperbole Equilatera

Answer 24

x^2-y^2=a^2 Oppure xy=k

Question 25

Fuochi Iperbole Equilatera

Answer 25

F1 = (-sqrt(2k), -sqrt(2k)) ; F2 = (sqrt(2k), sqrt(2k)), k>0

F1 = (-sqrt(-2k), sqrt(-2k)); F2 = (sqrt(-2k), 2sqrt(-2k)); k<0

Question 26

Equazione Semidistanza Focale Iperbole Equilatera

Answer 26

2sqrt(|k|)

Question 27

Vertici Iperbole Equilatera

Answer 27

A1 = (-sqrt(k), -sqrt(k)) ; A2 = (sqrt(k), sqrt(k)), k>0

A1 = (-sqrt(-k), sqrt(-k)); A2 = (sqrt(-k), -sqrt(-k)), k<0

Question 28

Semiasse Traverso Iperbole Equilatera

Answer 28

sqrt(2|k|)