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Nicolas1501
@Nicolas1501
January 2021
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Urgent,Bonsoir pouvez vous m'aider merçi.
(..est inscrit dans le triangle ABCD)
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anniebusschaert
Je ne vois pas bien le début de ton exercice
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no63
Salut
1) concerne geogebra
2)Aire(DMQ)=(b*h)/2=x^2/2
Aire(AMN)=((10-x)(6-x))/2 soit (x^2-16x+60)/2
Aire(ABCD)=60
c)A(x)=Aire(ABCD)-2*Aire(DMQ)-2*Aire(AMN)
A(x)=60-2*(x^2/2)-2*(x^2-16x+60)/2
A(x)=60-x^2-x^2+16x-60
A(x)=-2x^2+16x
d) forme canonique est de la forme a(x-alpha)^2+beta
alpha=-b/2a
=-16/-4 alpha=4
beta=f(alpha)=f(4)=32
soit A(x)=-2(x-4)^2+32
e) Aire maximale pour x=4 pour une aire de 32
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Lista de comentários
1) concerne geogebra
2)Aire(DMQ)=(b*h)/2=x^2/2
Aire(AMN)=((10-x)(6-x))/2 soit (x^2-16x+60)/2
Aire(ABCD)=60
c)A(x)=Aire(ABCD)-2*Aire(DMQ)-2*Aire(AMN)
A(x)=60-2*(x^2/2)-2*(x^2-16x+60)/2
A(x)=60-x^2-x^2+16x-60
A(x)=-2x^2+16x
d) forme canonique est de la forme a(x-alpha)^2+beta
alpha=-b/2a
=-16/-4 alpha=4
beta=f(alpha)=f(4)=32
soit A(x)=-2(x-4)^2+32
e) Aire maximale pour x=4 pour une aire de 32