Bonsoir est ce que vous pouvez m’aider en math svp ! L’entrai 5 Merci.... Pergunta de ideia deDami12

January 2021 1 35 Report

Bonsoir est ce que vous pouvez m’aider en math svp ! L’entrai 5
Merci

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loulakar

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Bonjour,

1) aire de. NMC et AND :

MC = 1 - x
NC = 1 - x

Aire d’un triangle rectangle :
(Base * hauteur) / 2 = MC * NC / 2
[(1 - x)(1 - x)]/2

ND = x
AD = 1

Aire = (ND * AD)/2
Aire = x/2

2) aire du carré ABCD : 1 * 1 = 1

Aire ABMN = 1 - x/2 - (1 - x)(1 - x)/2
Aire = (2 - x - (1 - x)(1 - x))/2
Aire = (2 - x - (1 - x - x + x^2))/2
Aire = (2 - x - 1 + 2x - x^2)/2
Aire = (-x^2)/2 + x/2 + 1/2

3) aire maximale :

Quelle valeur de x :

Aire = -x^2 + x + 1

Pour x = 1 l’aire sera maximum

Aire = -(1^2) + 1 + 1
Aire = -1 + 2
Aire = 1

1 votes Thanks 1

Dami12 Merci

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