2010 -2011
1
30
1
!"#$
x 1
f(x) ln( )
x 1
+
=
−
%:
A -
]
[
1;1
−
B -
]
]
]
[
; 1 1;
−∞ − +∞
U
C -
]
[
]
[
; 1 1;
−∞ − +∞
U
D -
]
[
; 1
−∞ −
E -
]
[
[
[
; 1 1;
−∞ − +∞
U
2
1 x
x 1
e 1
lim
x 1
−
→
−
−
& #
A -
−∞
B - -1 C - 0 D - 1 E -
+∞
3
'(
1
x
1
f(x) e .cos(2x) ln
1 x
= +
+
)% :
A -
1
x2
1 1
e ( cos(2x) 2sin(2x))
x 1 x
− + −
+
B -
1
x2
1 1
e ( cos(2x) 2sin(2x))
x 1 x
− − −
+
C -
1
x2
1 1
e ( cos(2x) 2sin(2x))
x 1 x
+ −
+
D -
1
x2
1 1
e ( cos(2x) 2sin(2x))
x 1 x
− + +
+
E-
1
x2
1 1
e ( cos(2x) 2sin(2x))
x 1 x
+ +
+
4
2
e
1
(lnx)
I dx
x
=∫
& #
A - 1 B -
1
−
C - 0
D -
1
3
−
E -
1
3
5
e
1
J cos(lnx)dx
π
=∫
& #
A -
e 1
π
− −
B -
e 1
π
+
C -
1 e
π
−
D -
e 1
2
π
+
−
E -
e 1
2
π
+
6
&""'"*
z 1 i 3
= −
A -
[ ]
2
3
π
π
2010 -2011
2
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z
−
%
B -
[ ]
2
3
π
− π
C -
[ ]
2
6
π
π
D -
[ ]
2
6
π
− π
E -
[ ]
2
2
3
π
π
7
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1'2'-.)'34"1
./05"',2
« docteur »
A - 6 B - 120 C - 216 D - 342 E - 5040
8
x 0
≠
*
n
∈
.
2 3 n 1
1 1 1 1
V 1 .....
x x x x
−
= + + + + +
A -
n
n(n 1)
V
2
+
=
B -
n
n
n n 1
x 1
V
x x
−
−
=
−
C -
n n 1
nn
x x
V
x 1
−
−
=
−
D -
n
n
V 1 x
= −
E -
n
n
1
V 1
x
= −
9
6'0+$
ln(x 1) ln(x 3) ln2
− + − <
)%:
A -
]
[
3;
+∞
B -
]
[
; 3 2 3;
−∞ − + +∞
U
7
8
C -
2 3;
+ +∞
D -
3;2 3
+
E -
3;2 3
− +
10
g(x) 9'":0 2y’+y=0 ;(<6#)':
1
g(0)
2
= −
)%:
A -
x
2
1
e
2
−
B -
1
cos(x)
2
−
C -
x
2
1
e
2
−
−
D -
1
(1 sinx)
2
− −
E -
x
2
1
(e 2)
2
−
−
x 1
≠
2010 -2011
3
=9 30
11 : #:
A - B - C - !". D - #$%&'()400nm (800nm . E- !"*+)
12 : 2 >?:
A - ,*+-./0#1223$). B - !"4"567(87$. C - !"%&4"567(87$ D - 9#728:;<=$%>?)@ E - 1A/ 2B:;<C8D5
13 : %"(@-+$!+10 , .A"2'"(@:B#30 ,:
A - 12,5% 1BE+2B. B - 25% 1BE+2B. C - 33,3% 1BE+2B. D - 66,6% 1BE+2B. E - 99 ,9% 1BE+2B .
14 : C 137 ;()+"DE
−
β
.C !+137 %30 ,.)%F''9#":
137 A 0
55 Z 1
Cs X e
−
→ +
.
A - 2A=136 (Z=54 B - 4"+?)-.2BF8+#G$HB)5:B,$# I1?+. C - J>E+2BA+&*5K+)@t . D - 2BLM)A :+$
A
Z
X
5(+2B. E - NO&*+#PQ2,3.10
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an
-1
.
15 : BA)GLC F#D)>21A#F*:.()GBi(t)=0,005sin(1000t) "
H21+(A) . )"*:L=0,1H .
A - ;:B:BN221000Hz. B - GM?C=10µF C - ;:B$$?Q0W=25.10
-7
J D - L?*#R@B#GM?0##S). E - T.;%%"#Q02B:B.
2010 -2011
4
16 : F*:.()GB>21.A)GL=470mH Ir=20J I R=100J E=12V K6+t=0 A'5;<L*:
A- N0##
AB
di
u L ri
dt
= −
L 'D0U@
B - V1BWJ+ WB+:BN C - .6X)N0##4V V1BWJ+ D - -(:B$R#P3,91ms (@LU0##(R .6X)
10V V1BWJ+ E - Y 5@WJ+ S)L?*#R@B#(@LU0##
.
17 : F'",9B.-6(*C 61.F#,2E .+F*-+F9*MN"2
K6t=0 )#O1?6#:""D)2-2L 1'r . ;"2:
A - B+ZQGM?0##.6X).
B - QD:B:BN3 >
2 2
1 1
LI CE
2 2
=
C - :BN B+Q.6X D - E QN5(RHQ0.6X E - E QGM?5(RHQ0.6X
18 : APA #1$'G 0;,)GQR $: A - 1B&(*#3$@ B - K$V[$?#3$ C - QWB+ D - K$V[L?*#3$ E - M%[[#3$@
19 : Q >2+, S2<*(S) TAG F''m=100g :>@' UG
2
0
30
α =
' 2@ *-V*)GHA ):.(. ( * '"*B W62:>@' - AB=2,5m . OXY*.'03:1*g=10m/s
2
. A - V[(L1E#PX(S) WB+. B - V[(L1E#PX:BN(S) ;1N . C - QR8\(S) a
G
=0,5m/s
2
. D - QS):B(S) A0 AB ;
t 1s
∆ =
E - [$?5?Q0B)R R%D6
20 : %SZ[\AT
0
=0,36s . -#5,!+?#NE[\A]I52A4'.^9+?#:
A - T
0
=0,09s B - T
0
=0,18s C - T
0
=0,36s D - T
0
=0,72s E - T
0
=1,44s
2010 -2011
5
=. 30
21 :A6A+
0
50 C
=)*H=$
14
Ke 5,5.10
−
=
.S.#pH 6
+ )?0
0
50 C
-LQ4:
A - 6,63 B - 6,83 C - 7 D - 7,63 E - 7,83
22 : :+9# &1mol 5 M*2 _0 -1mol :B3 *22 S.# `E *B3 -
265% .
)%:+9')>1C':
A - 1mol B - 0,65mol C - 0,35mol D - 0,33mol E - 0,065mol
23 : 36 '"* S
1
M*B_6HCOOH T#C
1
=5.10
-2
mol/L 36S
2
_6
MC
6
H
5
COOH .a9*-6pH :pH=2,5 .
" :
HCOOH
1,18g/mL
ρ =
I
A 6 5 6 5
pK (C H COOH/C H COO ) 4,2
−
=
A
pK (HCOOH/HCOO ) 3,8
−
=
, M(C)=12g/mol , M(O)=16g/mol, M(H)=1g/mol
A - ])5M98M])(R+98]?"). B - RC
2
%$>$S
2
R-()C
1
%$>$S
1
. C - >500mL %$>S
1
MK$0)1mL ^H9>.
D - %$>S
2
QD3 > :
[
]
6 5 6 5
C H COOH 50. C H COO
−
E -
A A 6 5 6 5
K (HCOOH/HCOO ) K (C H COOH/C H COO )
− −
<
24 : )'R,: %:
A - L5M B - L5# C - ])(++98 D - ])5+B)B5 E - LM5#
25 : )':+9'"GSb''2c:
aq 2 aq 3 aq
AH H O A H O
− +
→
+ +
←
:
A - D"$1BR#3$ B - I_B+L"`6SUI? C -
9>0#3$AH L D - %D6S R
O-
CH
3
C
O
CH
3
-CH
2
-CH
2
6
7
8
1
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8
100%