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Ministerul Educaţiei, Cercetării şi Inovării 
Centrul Naţional pentru Curriculum şi Evaluare în Învăţământul Preuniversitar 
Soluţii 
1. ( ) ( ) 2 2 
1+ i 3 + 1− i 3 = −4∈] 
2. x, y sunt rădacinile ecuaţiei a2 − 4a + 3 = 0 , a∈{1,3} ; (x, y)∈{(1, 3), (3,1)} 
3. 6 x − 2 = x + 6 ; x2 − 24x +108 = 0 ; x∈{6,18} 
4. 18 3 
T = C k k 
x k + 1 9 
; T7 = 84 
d′ ⊥ 9 8 
5. d,d′ : 4x + 3y −12 = 0 ; { − 
} d d A A 
′ = ′ ′    
∩ , , 
; d(A,d) = 2 
5 5 
  
6. 
1 
cos 
B = , 
8 
3 
cos 
C = , 
4 
1 
C = ; cosB = cos 2C ⇒m()B) = 2m)(C) 
cos2 
8 
BACALAUREAT 2009-MATEMATICĂ - Proba D, MT1, programa M1

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  • 1. Ministerul Educaţiei, Cercetării şi Inovării Centrul Naţional pentru Curriculum şi Evaluare în Învăţământul Preuniversitar Soluţii 1. ( ) ( ) 2 2 1+ i 3 + 1− i 3 = −4∈] 2. x, y sunt rădacinile ecuaţiei a2 − 4a + 3 = 0 , a∈{1,3} ; (x, y)∈{(1, 3), (3,1)} 3. 6 x − 2 = x + 6 ; x2 − 24x +108 = 0 ; x∈{6,18} 4. 18 3 T = C k k x k + 1 9 ; T7 = 84 d′ ⊥ 9 8 5. d,d′ : 4x + 3y −12 = 0 ; { − } d d A A ′ = ′ ′    ∩ , , ; d(A,d) = 2 5 5   6. 1 cos B = , 8 3 cos C = , 4 1 C = ; cosB = cos 2C ⇒m()B) = 2m)(C) cos2 8 BACALAUREAT 2009-MATEMATICĂ - Proba D, MT1, programa M1