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Ministerul Educaţiei, Cercetării şi Tineretului
Centrul Naţional pentru Curriculum şi Evaluare în Învăţământul Preuniversitar
BACALAUREAT 2008-MATEMATICĂ - Proba D, tipul subiectului MT1, programa M1
Soluţii
1. i
2. 2
( ) ; ( ) 0, 3 2 0g x y f y y y= = − + = ; { }1,2y∈ ;
3
1,
2
x
 
∈ 
 
3. 2
lg (8 9) lg10( 1)x x x+ = − ; 2
2 9 10 0x x− − = ;
9 161
4
x
+
=
4. ( )1 20n n − < ; { }2,3,4n∈
5. ( ) ( )2 1 2 1
1
,0 ; , ,
2
A d d d d d A d
 
∈ = 
 
; ( )1
5
,
10
d A d = ; ( )1 2,d d d =
5
10
6. 0 6 2
sin75
4
+
= ; 0 6 2
sin15
4
−
= ;
6
2

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  • 1. Ministerul Educaţiei, Cercetării şi Tineretului Centrul Naţional pentru Curriculum şi Evaluare în Învăţământul Preuniversitar BACALAUREAT 2008-MATEMATICĂ - Proba D, tipul subiectului MT1, programa M1 Soluţii 1. i 2. 2 ( ) ; ( ) 0, 3 2 0g x y f y y y= = − + = ; { }1,2y∈ ; 3 1, 2 x   ∈    3. 2 lg (8 9) lg10( 1)x x x+ = − ; 2 2 9 10 0x x− − = ; 9 161 4 x + = 4. ( )1 20n n − < ; { }2,3,4n∈ 5. ( ) ( )2 1 2 1 1 ,0 ; , , 2 A d d d d d A d   ∈ =    ; ( )1 5 , 10 d A d = ; ( )1 2,d d d = 5 10 6. 0 6 2 sin75 4 + = ; 0 6 2 sin15 4 − = ; 6 2