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Ministerul Educa釘iei, Cercetrii i Inovrii 
Centrul Na釘ional pentru Curriculum i Evaluare 樽n nv釘m但ntul Preuniversitar 
Solu釘ie 
1. 
錚 1  2   99 錚 = 1 
錚 錚 
=  錚 錚 
lg ... lg 2 
2 3 100 100 
. 
2. x < 3x + 3  x + 4 =1 x, x[3,4) x  3  x + 4 =1 x[3,4) , 
x  4 x  3 + x  4 =1 x = 4 . Deci x[3,4] . 
3. log3 x = t , 
錚 錚 x{9; 3} 
+ 1 = 5  錚 1 
錚種2 2; 
錚 
 t t 
2 2 
t 
4. Numrul cazurilor posibile 2010 : 2 =1005 . Numrul cazurilor favorabile 251. 
=  cos x =  1  sin x 
=  = 1 
. 
ctg 6 6 36 sin 
x x 
BACALAUREAT 2009-MATEMATIC - Proba D, tipul subiectului MT1, programa M1 
251 
1005 
p = . 
5. ( m  2 )2 + ( 2  m )2 = 4 .m{2;2} . 
2 
6. 
2 
2 
sin x sin x 
37

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D mt1 i_059

  • 1. Ministerul Educa釘iei, Cercetrii i Inovrii Centrul Na釘ional pentru Curriculum i Evaluare 樽n nv釘m但ntul Preuniversitar Solu釘ie 1. 錚 1 2 99 錚 = 1 錚 錚 = 錚 錚 lg ... lg 2 2 3 100 100 . 2. x < 3x + 3 x + 4 =1 x, x[3,4) x 3 x + 4 =1 x[3,4) , x 4 x 3 + x 4 =1 x = 4 . Deci x[3,4] . 3. log3 x = t , 錚 錚 x{9; 3} + 1 = 5 錚 1 錚種2 2; 錚 t t 2 2 t 4. Numrul cazurilor posibile 2010 : 2 =1005 . Numrul cazurilor favorabile 251. = cos x = 1 sin x = = 1 . ctg 6 6 36 sin x x BACALAUREAT 2009-MATEMATIC - Proba D, tipul subiectului MT1, programa M1 251 1005 p = . 5. ( m 2 )2 + ( 2 m )2 = 4 .m{2;2} . 2 6. 2 2 sin x sin x 37