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moumous
@moumous
June 2021
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AIDEZ MOI SVP SVP C URGENT
LA FIGURE ET LES QUESTIONS SONT SEPAREES
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hugler62
ABCD : carré de coté x cm
ECF : triangle rectangle en C
Point E sur le segment [BC]
FC = 4cm
a) Aire notée a du carré ABCD en fonction de x.
a = x²
b) Calculer A pour x = 2 + √2
A = (2 + √2)²
A = 2² + 4√2 + (√2)²
A = 4 + 4√2 + 2
A = 6 + 4√2
Si le résultat doit respecter la forme a + b√2, alors : a = 6 et : b = 4
c) On donne : x > 1 et on donne : BE = 0,5 cm
A' = (EC * CF)/2
A' = (BC - EB) * CF/2
A' = (x - 0,5) * 4/2
A' = (x - 0,5) * 2
A' = 2x - 1
d) On donne : S = A + A'
S = A + A'
S = x² + (2x - 1)
S = x² + 2x - 1
e) Calculer S pour x = 2 + √2
S = x² + 2x - 1
S = (2 + √2)² + 2(2 + √2) - 1
S = [2² + 4√2 + (√2)²] + 2(2 + √2) - 1
S = [4 + 4√2 + 2] + (4 + 2√2) - 1
S = 6 + 4√2 + 4 + 2√2 - 1
S = 9 + 6√2
Si le résultat doit respecter la forme c + d√2, alors : c = 9 et : d = 6
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Lista de comentários
ECF : triangle rectangle en C
Point E sur le segment [BC]
FC = 4cm
a) Aire notée a du carré ABCD en fonction de x.
a = x²
b) Calculer A pour x = 2 + √2
A = (2 + √2)²
A = 2² + 4√2 + (√2)²
A = 4 + 4√2 + 2
A = 6 + 4√2
Si le résultat doit respecter la forme a + b√2, alors : a = 6 et : b = 4
c) On donne : x > 1 et on donne : BE = 0,5 cm
A' = (EC * CF)/2
A' = (BC - EB) * CF/2
A' = (x - 0,5) * 4/2
A' = (x - 0,5) * 2
A' = 2x - 1
d) On donne : S = A + A'
S = A + A'
S = x² + (2x - 1)
S = x² + 2x - 1
e) Calculer S pour x = 2 + √2
S = x² + 2x - 1
S = (2 + √2)² + 2(2 + √2) - 1
S = [2² + 4√2 + (√2)²] + 2(2 + √2) - 1
S = [4 + 4√2 + 2] + (4 + 2√2) - 1
S = 6 + 4√2 + 4 + 2√2 - 1
S = 9 + 6√2
Si le résultat doit respecter la forme c + d√2, alors : c = 9 et : d = 6