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1.
Ministerul Educaţiei, Cercetării
şi Inovării Centrul Naţional pentru Curriculum şi Evaluare în Învăţământul Preuniversitar Soluţie 10 1. ( 1+ i )20 = ( 1+ i )2 = ( 2i )10 = −1024 . 2. f ( f ( x )) = 1 f = x x , (−10) + (−9) + ...+ (−1) +1+ ...+10 = 0 . 3. Funcţia este strict crescătoare, fiind compunere de funcţii strict crescătoare, deci funcţia f este injectivă. 5! 5! 4. − 6 ⋅ = 0 . 2! 3!2! 5. ( ) 2 2 m m − + −= 3 4 1 11 + 3 4 ⇒ m∈{−10;0} . 6. cos75D − cos15D = −2sin 45D sin30D , D = 2 D = 1 ⇒ 2 sin 45 ,sin 30 2 2 D − D = − . cos75 cos15 BACALAUREAT 2009-MATEMATICĂ - Proba D, tipul subiectului MT1, programa M1 2
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