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Jetaideettumaide
@Jetaideettumaide
January 2021
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Bonsoir
Est ce que quelqu’un pourrait m’aider à résoudre cet exercice de Maths svp ? Niveau Première S
Merci d’avance
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Amateur
Bonjour,
1a.
y=x²/4+1
Recherche du sommet
y'=x/2 =0 ==>x=0 et y=1 S=(0,1)
Hauteur minimale de sable: 1
1b.
si x>0 alors |x|=x et x²/4+1=x==>1/4(x²-4x+4)=0==>1/4(x-2)²=0==>x=2
B=(2,2)
si x<0 alors |x|=-x ==>x=-2
A=(-2,2)
2a.
y=-|x|
2b.
S=(0,-2.1)
2c.
y=k(x-0)²-2.1
2.d
C=(-3,-3) D=(3,-3)
Détermination de k
La courbe passe par D
-3=k*3²-2.1
k=-0.1
y=-0.1x²-2.1 est l'équation cherchée.
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1a.
y=x²/4+1
Recherche du sommet
y'=x/2 =0 ==>x=0 et y=1 S=(0,1)
Hauteur minimale de sable: 1
1b.
si x>0 alors |x|=x et x²/4+1=x==>1/4(x²-4x+4)=0==>1/4(x-2)²=0==>x=2
B=(2,2)
si x<0 alors |x|=-x ==>x=-2
A=(-2,2)
2a.
y=-|x|
2b.
S=(0,-2.1)
2c.
y=k(x-0)²-2.1
2.d
C=(-3,-3) D=(3,-3)
Détermination de k
La courbe passe par D
-3=k*3²-2.1
k=-0.1
y=-0.1x²-2.1 est l'équation cherchée.