Đề kiểm tra học kì 1 môn Toán lớp 11 số 3

SỞ GD & ĐT THANH HÓA KIỂM TRA HỌC KÌ I – NĂM HỌC 2014 – 2015
SỐ 3 Môn : Toán – Khối 11
Thời gian: 90 phút

Câu 1(2đ):




 

 


π
+=
+
+ x
xx
x
x
!
( )


  
         x x x x
π π
   
+ − + + =
 ÷  ÷

   
"#
 $

x
π
≤ ≤
Câu 2(1,5đ):
% &'()*+,-)*.")*/0$1234
 &-)*$%5.2/6
 -)*728$
 !-)*72'9:)$
Câu 3(1,5đ):
; 2<&
n
u( )
,!=
 
-> u u= − =
 %<?/*":
! %5@<?/*
Câu 4(3đ):
; 'A$BC;D'/BC;D7!$EF7 /6
GBD,H7/64AD$
 % =GIJACF"AB;$
! % /6G/KJ;H"IJACF$
Câu 5(1đ):
%L<G<?M.
N
 96OM




x
x
 
+
 ÷
 
Câu 6.(1,0 điểm)P6"QE!6M
n
xnxx $$$

−++−+−
/R/M
n
n
xaxaaxP +++= $$$

$%5L<
N
a
!=S
n
7<4T U
n
CC
nn
V
-

=+
$
WWWWWWWWWWWWWWWWWWWWWWWWX=WWWWWWWWWWWWWWWWWWWWWW

ĐÁP ÁN – BIỂU ĐIỂM
(Đề kiểm tra học kì I- Khối 11- năm học 2014-2015)
Câu NỘI DUNG Điểm
$
/
$




 

 


π
+=
+
+ x
xx
x
x
YZ9L
$ , ≠+≠ xxx
[/U \
 

 
 

 
=−
+
+ x
xx
xx
x
x


   
       
   
 
x x
x x x
x x
x
π
 
⇔ − = ⇔ + − =
 ÷
+
 

]
$,


  ∈+=⇔= kkxx
π
π
]

 


    , ^


 
 -

x m
x x m
x x m n
n
x
x x n
π
π
π
π
π
π π
π
π π



= +
= + +


= + ⇔ ⇔ ∈




= +
= − − +




$,
-


∈+=⇔ t
t
x
ππ
Y<=/Z9L'LG7
π
π
kx +=

>

$,,
-


∈+= tk
t
x
ππ
$(/
$(/
$(/
,(
$!
C=/@5@,/R

            
 
x x x
π
+ + − + =


         ,
 N 
k
x x x x k
π π
⇔ + − = ⇔ = ⇔ = + ∈¢

D 

>

x
π
 
∈
 
 
4
N
x
π
=
$(/
$(/
$(/
$(/
$
/
$
( )
-

n CΩ = =
$(/
EB7!=<_C)728`
( )
- -
( -
n A C C= + =

$(/

( )
( )
( )

,a

n A
P A
n
⇒ = = ≈
Ω
$(/
$! EC7!=<_C)72'9:)`
P/'
C
7_C)729`
$(/
( )
  
(
- 
$ $ ($-$ -n B C C C⇒ = = =
( )
( )
( )
- 
,(
 

n B
P B
n
⇒ = = = =
Ω

( )
( )
  ,( ,V(P B P B⇒ = − = − =
$(/
$(/
$(/
-$
/
-$
AbTc:M

 
n
u u n d= + −
,d /*!'L
$(/
 
 
 
-
  
- (
- 
u u d

d d
u d u
u u d
= + = −
= =

 
⇔ ⇔
  
= − − = −
= + =
 

$V(/
-$!
eTc:M

$ 
$

n
n n d
S n u
−
= +

$a$
$ ( N

S⇒ = − + =

$V(/

$
-/
$(/
$ XIJACF"AB;'/6M27A
% IJBC;DE
H AC MB= ∩
$P/'
$(/
 
 
H AC
H SAC
AC SAC
∈

⇒ ∈

⊂

>
 
 
H MB
H SMB
MB SMB
∈

⇒ ∈


⊂

$(/
⇒
X7/6MGIJACF"AB; $(/
fgACF
∩
AB;hAX $(/
$! ijIJACF"A;D
;'/6M27A
$(/
% IJBC;DE
K CD MB= ∩
⇒
P7/6M
$(/
⇒
ACF
∩
A;DhAP, IJA;P
CI SK N∩ =
$(/
%g"g
 
 
N SK
N SBM
SK SBM
∈


⇒ ∈

⊂

f
N CI∈
 N CI SBM⇒ = ∩
$(/
($
/
%'

 
 
 
 
 

  
k
k k k k
k
k k
x x
x C x C x
− +
= =
   
+ = =

 ÷  ÷
   
∑ ∑
$(/
A<?M.
N
M"#<97
 N k k+ = ⇒ =
$(/
⇒
<?M.
N
7
 N N


 (
$ $ $
 
C x x=
$(/
fgL<G<?M.
N
 96OM



x
x
 

+
 ÷
 
7
(

$(/

%'





=
−−
+
−
≥
⇔=+
nnnnnn
n
n
CC
nn


k-$V



-
V
-

$a
-(
-

=⇔



=−−
≥
⇔ n
nn
n
,
A
N
a
7L<G
N
x
 !6M
$aN
aN
xx −+−
Y'7
$Na$a$N

N
a
N
N
=+ CC
*)Ghi ch: W=E79/Q"3 /6</Gl/'
-