NGÂN HÀNG ĐỀ KIỂM TRA- TOÁN 11- CHƯƠNG TRÌNH CHUẨN
STT
Mã
câu
hỏi
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thời
gian
Nội dung Điểm
3
3
3 2 5
lim
1 2
n n
n
+ +
+
5 2.3
lim
4 3.5
n n
n n
+
−
4
3
5
n
n n
nn n
+
÷
+
= = −
−
−
÷
2
3 2
lim
1
n n
n n
− + +
− +
11 1
2
1
( 2) 3 1 1
3
lim lim .
( 2) 3 3 3
2
1
3
n
n n
nn n ++ +
− +
÷
− +
= =
− +
− +
÷
.
1
2 4
2 2 2 1 2
2
1
2
n
n
S
+
−
= − + − + + + = =
+
+
2
2
1
1
lim
3 2
x
x
x x
→−
−
−
2
2
1 1
1
1
2 3 4 ( 3)
lim lim
1
( 1)(2 3)
( 1)
lim
( 1)( 1)(2 3)
1 1
lim .
8
( 1)(2 3)
x x
x
x
x x
x
x x
x
x x x
x x
→ →
→
3 2 2
4 2 2 2
3 3
2
3
5 3 9 ( 3) ( 1)
lim lim
8 9 ( 1)( 9)
( 3)( 1)
lim 0
( 1)( 3)
x x
x
x x x x x
x x x x
x x
x x
→ →
→
− + + − +
= =
− − + −
− +
=
+ +
.
/
3
lim lim
2
( 2) 4 2 4 4
4 8 4( 2)
lim lim
( 2) 4 2 4 4 ( 2) 4 2 4 4
4 1
lim .
3
4 2 4 4
x x
x x
x
x x x
x
x
x x x
x x
x x x x x x
x x
→ →
→ →
→
− + +
−
=
−
x
n x
−
≠ −
= = −
+
− = −
1*789:7;)<=;>7'"
2
1 1 1 1
1 ( 1)( 1)
lim ( ) lim lim lim( 1) 2 ( 1)
1 1
x x x x
x x x
f x x f
x x
→− →− →− →−
− − +
= = = − = − = −
+ +
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( 1)( 3 4 1)
3 3
lim
2
3 4 1
x x x
x
x x
f x
x
x x
x
→− →− →−
→−
+ − + −
= =
+
+ + +
= =
+ +
<=;>76)DE ,C"6%!34:7;F'"GF67H)
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N>
5 3
2 5 1 0.x x− − =
,+"65"6%
3 4
.
4 5
x
y
x
−
=
+
2
2 2
(3 4)'(4 5) (3 4)(4 5)'
'
(4 5)
3(4 5) (3 4)4 31
.
(4 5) (4 5)
x x x x
y
x
x x
x x
− + − − +
=
+
.2 os ( sin ).( )' .
2 2 2
2 1 os 4 1 os
2 2
x
y c
x
c
x x
c
x
c
x x x
c
x x
c c
= + =
÷
+
+
−
= − =
+ +
3
3 × 3 µ ' 1
3
x th y v y= − = − = = −
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2 2 4 3x x− = ⇔ =
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0 0
3 × 6x th y= =
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