Exo1:
1) A = 4V3 + 2V27 - V48 = 4V3 + 6V3 - 4V3 = 6V3
B = 2V24 - V600 + V96 = 4V6 - 10V6 + 4V6 = -10V6
2) C = (V3 - V2)(V3 + 5V2) = 3 + 5V6 - V6 - 10 = 4V6 - 7
Exo2:
1) PA² = ZA² - PZ² = 200 - 20 = 180
PA = V180 = 6V5
2) perimetre = PA + ZA + PZ = 6V5 + 5V8 + 2V5 = 8V5 + 10V2 cm
aire = PA x PZ = 6V5 x 2V5 = 60 cm²
Ex3
1) (-2)^3 -2(-2) + 4 = -8 + 4 + 4 = 0 vraie
2)(V3 - 1)² + 2(V3 - 1) - 2 = 4 - 2V3 + 2V3 - 2 = 2 fausse
3) (1 + 2V3)² = 1 + 4V3 + 12 = 13 + 4V3 fausse
Ex4
1) BC² = AC² + AB² = 625 + 900 = 1525
BC = 5V61
2) cos(BAC) = AC/AB = 25/30 = 5/6
BAC = 34°
BAD = BAC + CAD = 83°
ABD n'est pas un triangle rectangle
3) BD = BC + CD
tan(CAD) = tan(49°) = CD/AC
CD = AC*tan(49°) = 28.8 cm
