Resolucao Eear 2 2011
September 16, 2022 | Author: Anonymous | Category: N/A
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RESOLO SARGENTO AERONTICA 2/2011 Profo.: Waldomário Melo
P ! M , D , , , B, . A D, . M , , . A! C
CONCRSO DE SARGENTO AERONTICA 2/2011
PROA TIPO 04 REALIADO EM 05 DE DEEMBRO DE 2010 GABARITO: D 51. S = = , 2
) .
) .
sec y cos sec y
) /
TPICO: TRIGONOMETRIA (R T) T) P: M M M RESOLO HERT: 1 sec y cos sec y
=
cos y 1 seny seny m . = = = 1 cos y 1 cos y n seny
cos 60 o =
cateto adjacente
cos 60 o =
4
1
hipotenusa
a
60 (
4
2=a a = 8cm
4
GABARITO: D 55. A : 5,5
→ B I = 20,30. P B : ) 5,20 ) 5,20 ) 5,30 ) 20,30
TPICO: FNO P: M M M RESOLO HERT: U CD = I , , . L, , B 20,30.
:
) .
TPICO: GEOMETRIA PLANA P: M M M RESOLO HERT:
GABARITO: C 52. U ABCD . D , ABCD : ) . ) . ) . ) .
TPICO: GEOMETRIA PLANA P: M M M RESOLO HERT: T , . C , , , .
GABARITO: A 56. S = 1 3. O 2 + : ) 3 3
) 1 3
) 3 +
) 1 +
TPICO: NMEROS COMPLEOS P: M M M RESOLO HERT: = 1 3 = 1 + 3 2 + = 2.(1 3) + (1 + 3) = 3 3
GABARITO: C 57. S () , . ) ; . ) ; . ) ; . ) ; .
TPICO: GEOMETRIA ESPACIAL P: M M M RESOLO HERT: C E: H = 2.R = D (D: )
GABARITO: B 53. S () = () = . S ()
GABARITO: B 58.
() , : ) > 1 < 1. ) > 1 0 < < 1. ) 0 < < 1 > 1. ) 0 < < 1 0 < < 1.
2, 0, 2 1 + . O : ) 6 ) 5 ) 4 ) 3
TPICO: LOGARITMOS P: M M M RESOLO HERT:
TPICO: EQAES POLINOMIAIS P: M M M RESOLO HERT:
P () = , > 1. N 0 < < 1,
RAES COMPLEAS
() = .
GABARITO: C 54. E , 4 , 60. A , , : ) 6 ) 7 ) 8 ) 9
S = + n 1 n n 2 2 a n x + a n − 1 x − + a n − 2 x − + ... + a 2 x + a1 x + a0 = 0 , Z = a − bi . L:
1 = 2
2 = 0
3 = 2
4 = 1 +
x5 = x 4 = 1 − i
O . P, 5 5.
.. GABARITO: B 59. U M
GABARITO: C 63. C
, 40 20. A , , 6,0 7,0. A, 60 : ) 6,14 ) 6,3 ) 7,2 ) 7,5
, , 5 , 4 3 . A , 2, : ) 9π ) 16π ) 18π ) 24π
TPICO: ESTATSTICA (M A) P: M M M RESOLO HERT: P 1 : M 1 = x1 (notas) n1 ( alunos ) x1
40
= 6 → x1 = 240
M 2 = x 2
20
GABARITO: A 64. U
x 2 (notas) n 2 ( alunos )
R. A :
) 2
= 7 → x 2 = 140
M Turma
TPICO: GEOMETRIA PLANA P: M M M RESOLO HERT: A. = A + A 2 2 2 2 A. = π3 + (π5 π4 )= 18π
TPICO: L S P: M M M RESOLO HERT: = 2 R = D
Q
2
3 3cm . A , , : ) 24
) 27
TPICO: GEOMETRIA ESPACIAL P: M M M a×m
2 2
= 9cm
2
=
2 R
2
R 3
R 2 2 R
=
2
λ
2
+ 3 4 = 0, : ) B λ C λ. ) B λ C λ. ) B C λ. ) B C λ.
TPICO: GEOMETRIA ANALTICA P: M M M RESOLO HERT: 2
2
B(1, 2) → + 3 4 = 0 2
2
(1) + (2) 3.(1) 4 1+434 0 2 < 0 B λ. 2
Alateral = 3 A face = 3.(9) = 27cm
GABARITO: D 65. D B(1,2) C(0,1)
61. U 2 3 cm
2 3 ×3 3
2
) 30
GABARITO: D
A face =
R 3
2
2
A face =
R
T E
ap3
) 21
A 2
ap 4
) 18
) 3 2
R 2
10
2 D = 20cm
L R
H
30 10 . O , , : ) 10 ) 15 ) 20 ) 25
o sen30 10 = D 1
) 2 3
TPICO: GEOMETRIA PLANA (P R ) P: M M M RESOLO HERT:
x1 + x 2 240 + 140 = = ≅ 6,3. n1 + n 2 40 + 20
GABARITO: C 60. U , ,
10
) 3
0
2
C(0, 1) → + 3 4 = 0
2
2
GABARITO: C 62. U 3 , 1 , 2 3 . A : ) 3/2 ) 4/3 ) 9/2 ) 8/3
2
(0) + (1) 3.(0) 4 0+104 0 3 < 0 C λ.
0
TPICO: GEOMETRIA ESPACIAL P: M M M RESOLO HERT: Vcubo Vparal
=
a
3
L × c × H
=
3
3
1× 2 × 3
=
27 6
=
9 2
2
.. GABARITO: D 66. O 30
GABARITO: D 70. A ()= 2
3 E M . C , 170 : ) 13 ) 18 ) 22 ) 25
: ) 0 < < 4
) > 0
TPICO: FNO MODLAR P: M M M RESOLO HERT:
2
TPICO: ESTATSTICA P: M M M RESOLO HERT: C , , ,), 170 170,180), 180,190) 190,200), , 15 + 8 + 2 = 25 .
GABARITO: B 67. S A = 120 B = 240, : ) B = A.
) B = A.
) B = 2A.
) B = 2A.
TPICO: TRIGONOMETRIA P: M M M RESOLO HERT: R II Q I Q: 180 120 = 60
A 6 S 1 8 S2 : ) 150 ) 125 ) 100
) 75
TPICO: PROGESSO ARITMTICA PROGRESSO GEOMTRICA P: M M M RESOLO HERT: S1 = (1, 5, 25, 125, ...) 1 = 1 = 5/1 = 5 6 = 1.
6 = 1.5 5 6 = 5
240 = +60 = L: B = A
GABARITO: B 71. S S1 = (1, 5, 25, 125, ...) S 2 = (4, 7, 10, 13, ...).
120 = 60 = − 3 ( A) R III Q I Q: 240 180 = 60
) ≤ 2
) > 4
1
61
3 ( B)
6 = 3125
GABARITO: A 68. D A(,2), B(3,1) C(1,2), A B A C, : ) 7/4 ) 3/4 ) 1/5 ) 3/5
TPICO: GEOMETRIA ANALTICA P: M M M RESOLO HERT: d A, B = d A,C
S2 = (4, 7, 10, 13, ...) 1 = 4 =74=3
8 = 1 + 7
8 = 4 + 7.(3)
8 = 25
6 /8 = 3125/25 6 /8 = 125
2
( x B − x A ) + ( y B − y A )
2
=
2
( xC − x A ) + ( yC − y A )
2
(3 − k ) 2 + (1 − 2) 2 = (1 − k ) 2 + ( −2 − 2) 2
GABARITO: B 72. C D = 0,10 = (), :
=−
7 / 4
k
GABARITO: A 69. S = 2/3 > 0, 2 : )
4 5 9
)
2 5 3
)
5 3 2
)
3 6
TPICO: TRIGONOMETRIA P: M M M RESOLO HERT: 2
2
sen x + cos x = 1 2
2 3
sen x +
senx =
2
=1
5 3
5 2 4 5 . = . 3 3 9
sen2 x = 2 senx. cos x = 2.
TPICO: FNO P: M M M RESOLO HERT: B D 0, 10.
3
..
C B GABARITO: D 73. P , 152 : V ?. S 40 SIM, : ) 11/16 ) 17/18 ) 15/17 ) 14/19
TPICO: PROBABILIDADE P: M M M T = 152 F = 40 N F = 152 40 = 112 P= P=
S A 12012 15 J 2011
Favorável Total 112 14 =
150
M I
19
GABARITO: A 74. N , AB
⊂ . S 1 = 0, ABCD , ABCD :
(91) 32766141
) 2 ) 3 ) 3 2 ) 2 3
TPICO: GEOMETRIA ANALTICA P: M M M RESOLO HERT: O D : l=
dD , r =
3.1 + 0.(−1) + (−1)
2
(1) + (−1)
=
..
2
2
GABARITO: B 1 1 75. S P = P P. A Q = P.P : 0 1 1 1 1 1 2 1 1 2 ) ) ) ) 2 0 1 0 1 1 1 2
TPICO: MATRI P: M M M RESOLO HERT: 1 1 0 1 1 0 P t = 1 1 1 1 1 0 1.1 + 1.1 1.0 + 1.1 2 1 Q= . = = 0 1 1 1 0.1 + 1.1 0.0 + 1.1 1 1 P=
4
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