Bộ 7 đề kiểm tra 1 tiết chương 4 môn Đại số & Giải tích 11 năm 2019-2020 - Trường THPT Nguyễn Hữu Huân

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TRƯỜNG THPT NGUYỄN HỮU HUÂN
Họ và tên:…………………………….
KIỂM TRA 1 TIẾT CHƯƠNG IV
Lớp:……

Mơn: Đại số và giải tích 11
Thời gian: 45 phút.

ĐỀ 1.
Điểm

Lời phê của giáo viên

ĐỀ BÀI
I. TRẮC NGHIỆM KHÁCH QUAN(7đ)
3n2  2n  5
Câu 1: Kết quả của lim 2
là
7n  n  8
3
5
A.
B. 
C. 
7
8
3
Câu 2: lim(-3n + 5n - 2) bằng
A. -3
B. 
C. 

n
n
3  4.7
Câu 3: lim
bằng
3.7 n  2
1
4
A. 1
B.
C.
3
3
x 1  2
Câu 4: lim
bằng
x 3
x3
B. 

A. 0



D. 0
D. 3

D. -2

1

4

C. 4

D.

C. 10

D. 15

C. 

D. 0

C. 

D. 

C. – 2

D. 2



Câu 5: lim x3  4x2  10 bằng
x 0

A. 
B. 0
2x  1

Câu 6: lim
bằng
x 2 x  2
A. 2
B. 
2x2  3x  1
Câu 7: lim
bằng
x1
x2  1
1
A.
B. 2
2
Câu 8: lim(2x 3  3x  4) bằng
x 

A. 

B. 

3x2  5x  1
Câu 9: lim
bằng
x
x2  2
A. 
B. 
2

x  2x  1
Câu 10: lim
bằng
x
2x3  1
B. 

A. 0

3x3  5x  1
bằng
x
x2  2
A. 
B. 3

C. 3

D. 0

C. 

D.

C. 0

D. 

1
2

Câu 11: lim

2 x  1 nêu x > 1

Câu 12 Cho hàm số f ( x)   3  x
nêu x  1 , hàm số liên tục trên
 2
A.
B. (;1)  (1; )
C. (;1) D. (1; )

 x  1
ax  2
Câu 13: Hàm số f  x    2
liên tục tại x = 1 khi
x
+x-1
x

1




A. a = 1
B. Khơng có a thỏa mãn.
C. a = 0
D. a = -1
3

Câu 14: Phương trình 2x – 6x +1 = 0 có số nghiệm thuộc  2;2 là
A. 1
B. 2
C. 3
D. Vô nghiệm.
II. PHẦN TỰ LUẬN(3đ)
Câu 1: Tính các giới hạn sau
n3  2n  1
a, lim 3
(1 điểm)
2n  n  3

x2  3x  2
b, lim
x 2
x2
c, lim

x



(0.5 điểm)

x2  x  3  x



(0.5 điểm)

Câu 2 (1 điểm): Xét tính liên tục của hàm số sau tại x = 2:

 x 2  7x  10
khi x  2

f (x)   x  2
2x  1
khi x  2

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Lời phê của giáo viên

ĐỀ BÀI
I. TRẮC NGHIỆM KHÁCH QUAN(7đ)
3n2  2n  5
Câu 1: Kết quả của lim 2
là
2n  n  8
3
3
A.
B. 
C.
4
2
3
Câu 2: lim(n + 5n - 2) bằng
A. -3
B. 
C. 
n
n
3  2.7
Câu 3: lim
bằng
3.7 n  2
2
4
A. 1

B.
C.
3
3
x 1 1
Câu 4: lim
bằng
x 0
x
B. 

A. 0



D. 0
D. 3

D. -2

1
2

C. 4

D.

C. 4

D. 1

C. 

D. 0

C. 

D. 

C. – 2

D. 2



Câu 5: lim x3  4x2  7 bằng
x 0

A. 
B. 7
2x  1
Câu 6: lim
bằng
x 2 x  2
A. 2
B. 
2x2  3x  1
Câu 7: lim
bằng
x1

x2  1
1
A.
B. 2
2
Câu 8: lim(3x 3  3x  4) bằng
x 

A. 

B. 

3x2  5x  1
Câu 9: lim
bằng
x
6 x2  2
1
A. 
B.
2
2
x  2x  1
Câu 10: lim
bằng
x
x4  1
A. 1
B. 

2x3  5x  1
Câu 11: lim
bằng
x
x2  1
A. 
B. 3

C. 3

D. 0

C. 

D. 0

C. 0

D. 

2 x  1 nêu x > 1

Câu 12 Cho hàm số f ( x)   3  x
nêu x  1 , hàm số liên tục trên
 2
A.
B. (;1)  (1; )
C. (;1) D. (1; )

 x  1

ax  2
Câu 13: Hàm số f  x    2
liên tục tại x = 1 khi
x
+x-1
x

1




A. a = 1
B. Khơng có a thỏa mãn.
C. a = 0
D. a = -1
3
Câu 14: Phương trình 2x – 6x +1 = 0 có số nghiệm thuộc  2;2 là
A. 1
B. 2
C. 3
D. Vô nghiệm.
II. PHẦN TỰ LUẬN(3đ)
Câu 1: Tính các giới hạn sau
2n2  2n  1
a, lim 2
(1 điểm)
3n  n  2

x2  4 x  3

b, lim
x3
x3
c, lim

x



(0.5 điểm)

4 x2  x  3  2 x



(0.5 điểm)

Câu 2: Xét tính liên tục của hàm số (1 điểm)

 x 2  7x  10
khi x  2

f (x)   x  2
tại x = 2.
x  1
khi x  2

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B. 

Câu 2: lim(5n3 + 5n - 2) bằng
A. 
B. 
n
n
3  4.5
Câu 3: lim
bằng
3.7 n  2
1
A. 0
B.
3
2x  2  2
Câu 4: lim
bằng
x 1
x 1
1
A. 0
B.
2
3
2
Câu 5: lim x  4x  15 bằng

C. 

5
8

C. 5

C.

4
3

D. 0
D. 3

D. -2

1
4

C. 4

D.

A. 
B. 0
x 1
Câu 6: lim
bằng
x 1 x  1
A. 2

B. 
2
3x  3x
Câu 7: lim
bằng
x 0
x
A. 3
B. 2
3
 3x  1) bằng
Câu 8: xlim(x


C. 10

D. 15

C. 

D. 0

C. 

D. 

B. 

C. – 2

D. 

x 0

A. 1





3x2  5x  1
Câu 9: lim
bằng
x
5x2  2
3
A. 
B.
5
2
3x  2x  1
Câu 10: lim
bằng
x
2x3  1
A. 

C. 3

C. 

B. 2

3x3  5x  1
Câu 11: lim
bằng
x
2 x2  4
A. 2
B. 3

D. 0

3
2

C. 

D.0

D. 

nêu x > 1
x  3

Câu 12 Cho hàm số f ( x)   3  x
nêu x  1 , hàm số liên tục trên
 2
A.

B. (;1)  (1; )
C. (;1) D. (1; )

 x  1
ax  2
Câu 13: Hàm số f  x    2
liên tục tại x = 1 khi
x
+x-1
x

1
 


A. a = 1
B. Khơng có a thỏa mãn.
C. a = 0
D. a = -1
3
Câu 14: Phương trình 2x – 6x +1 = 0 có số nghiệm thuộc  2;2 là
A. 1
B. 2
C. 3
D. Vô nghiệm.
II. PHẦN TỰ LUẬN(3đ)
Câu 1: Tính các giới hạn sau
4n3  2n
a, lim 3
(1 điểm)

2n  n  3

2x2  3x  1
b, lim
x1
x 1
c, lim

x



(0.5 điểm)

x2  x  3  x



(0.5 điểm)

Câu 2: Xét tính liên tục của hàm số (1 điểm)

 x 2  3x  2

f (x)   x  2
x
 2

khi x  2
khi x  2

tại x = 2.

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A. 3

Câu 2: lim(-3n2 + n - 1) bằng
A. -3
B. 
n
n
3  4.4
Câu 3: lim
bằng
2.4n  2
B. 2

A. 1

5
8

D. 0

C. 

D. 3

C.

4
3

D. -2

C.

1
3

D.

C. 

2x  1  3
bằng
x4

Câu 4: lim
x4

B. 

A. 0





1
4

Câu 5: lim x2  4x  1 bằng

x 0

A.1
Câu 6: lim
x 2

3x  1
bằng
x2

A. 2

B. 0

C. 10

D. 15

B. 

C. 

D. 0

C. 

D. 

C. – 2

D. 2

2x  5x  3
bằng
x1
x2  1
1
A.
B. 2
2
Câu 8: lim(2x 2  3x  4) bằng
2

Câu 7: lim

x 

A. 

B. 

1
2

2x  1
bằng
x x  1
A. 
B. 

2
3x  2x  1
Câu 10: lim
bằng
x
2x3  1

Câu 9: lim

A. 3

C. 3

B. 0

C.

3x3  5x  1
Câu 11: lim
bằng
x
x2  2
A. 
B. 3

3
2

C. 0

D. 2

D.

1
2

D. 

2 x  1 nêu x > 1

f
(
x
)

 3 x
Câu 12 Cho hàm số
nêu x  1 , hàm số liên tục trên
 2
A.
B. (;1)  (1; )
C. (;1) D. (1; )

 x  1 liên tục tại x = 1 khi
ax
Câu 13: Hàm số f  x    2
 x  1

x +x-1

A. a = 1
B. Khơng có a thỏa mãn.
C. a = 0
D. a = -1
3
Câu 14: Phương trình 2x – 6x +1 = 0 có số nghiệm thuộc  2;2 là
A. 1
B. 2
C. 3
D. Vơ nghiệm.
II. PHẦN TỰ LUẬN(3đ)
Câu 1: Tính các giới hạn sau
n2  2n  1
a, lim 2
(1 điểm)
2n  n  3

x2  3x  2
b, lim
x1
x 1
c, lim

x



(0.5 điểm)

9x2  x  3  3x



(0.5 điểm)

Câu 2: Xét tính liên tục của hàm số (1 điểm)

 x 2  5x  4
khi x  1

f (x)   x  1
tại x = 1.
4x  1
khi x  1

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TRƯỜNG THPT NGUYỄN HỮU HUÂN
Họ và tên:…………………………….

KIỂM TRA 1 TIẾT CHƯƠNG IV
Mơn: Đại số và giải tích 11

Lớp:……

Thời gian: 45 phút.

ĐỀ 5.
Điểm

Lời phê của giáo viên

ĐỀ BÀI
I. TRẮC NGHIỆM KHÁCH QUAN(7đ)
3n2  2n  5
Câu 1: Kết quả của lim 2
là
6n  n  8
5
1
A.
B. 
C. 
8
2
3
Câu 2: lim(4n + 5n - 1) bằng
A. -3
B. 
C. 
n
n
3  3.6

Câu 3: lim
bằng
3.6n  2
B. 1

A. 1

C.

D. 0
D. 3

4
3

D. -2

x 1  2
bằng
x5

Câu 4: lim
x 5

B. 

A. 0



1
4

C. 4

D.

C. 10

D. 15

C. 

D. 0

C. 1

D. 

C. – 2

D. 2



Câu 5: lim x5  4x2  4 bằng
x 0

A. 4
B. 0

2x  1
Câu 6: lim
bằng
x 3 x  3
A. 2
B. 
2
x  3x  2
Câu 7: lim
bằng
x1
x 1
1
A.
B. 2
2
3
 3x  4) bằng
Câu 8: xlim(100x

A. 

B. 

3x3  x  1
Câu 9: lim
bằng
x
x3  1

A. 
B. 
3
x  2x  1
Câu 10: lim
bằng
x
2 x5  1

C. 3

D. 0

B. 

C. 0

D.

4x3  5x  3
bằng
x
x2  5
A. 
B. 3

C. 0

D. 

A. 0

1
2

Câu 11: lim

2 x  1 nêu x > 1

Câu 12 Cho hàm số f ( x)   3  x
nêu x  1 , hàm số liên tục trên
 2
A.
B. (;1)  (1; )
C. (;1) D. (1; )

 x  1
ax  2
Câu 13: Hàm số f  x    2
liên tục tại x = 1 khi
x
+x-1
x

1




A. a = 1

B. Khơng có a thỏa mãn.
C. a = 0
D. a = -1
3
Câu 14: Phương trình 2x – 6x +1 = 0 có số nghiệm thuộc  2;2 là
A. 1
B. 2
C. 3
D. Vô nghiệm.
II. PHẦN TỰ LUẬN(3đ)
Câu 1: Tính các giới hạn sau
n2  2n  1
a, lim 2
(1 điểm)
2n  n  3

x2  6 x  5
b, lim
x 5
x5
c, lim

x



(0.5 điểm)

9x2  x  3  3x



(0.5 điểm)

Câu 2: Xét tính liên tục của hàm số (1 điểm)

 x 2  4x  3

f (x)   x  3
2x  4


khi x  3
khi x  3

tại x = 3.

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TRƯỜNG THPT NGUYỄN HỮU HUÂN
Họ và tên:…………………………….

KIỂM TRA 1 TIẾT CHƯƠNG IV
Mơn: Đại số và giải tích 11

Lớp:……

Thời gian: 45 phút.

ĐỀ 6.
Điểm

Lời phê của giáo viên

ĐỀ BÀI
I. TRẮC NGHIỆM KHÁCH QUAN(7đ)
5n2  2n  5
Câu 1: Kết quả của lim 2
là
7n  n  8
3
5
A.
B. 
C.
7
7
3
Câu 2: lim(-n + 2n - 1) bằng
A. -3
B. 
C. 
n
n
3  3.5

Câu 3: lim
bằng
3.5n  2
1
4
A. 1
B.
C.
3
3
x 1  3
Câu 4: lim
bằng
x 8
x 8
1
A. 0
B.
C. 4
6
Câu 5: lim x3  4x2  10 bằng
x 0





A. 
B. 0
2x  1

Câu 6: lim
bằng
x 2 x  2
A. 0
B.0
2
x  4x  3
Câu 7: lim
bằng
x3
x3
1
A.
B. 2
2
3
 3x  4) bằng
Câu 8: xlim(x

A. 

B. 

D. 0
D. 3

D. -2

D.

1
4

C. 10

D. 15

C. 

D. 

C. 

D. 

C. – 2

D. 2

3x2  2x  1
Câu 9: lim
bằng
x
4 x2  1
3
A. 
B.
4
2

x  2x  1
Câu 10: lim
bằng
x
x4  1
A. 0
B. 
2x3  x  1
Câu 11: lim
bằng
x
x2  2
A. 
B. 3

C. 3

D. 0

C. 

D.0

C. 0

D. 

2 x  1 nêu x > 1
f
(

x
)


Câu 12 Cho hàm số
, hàm số liên tục trên
 2 x  1 nêu x  1
A.
B. (;1)  (1; )
C. (;1) D. (1; )

 x  1
ax  2
Câu 13: Hàm số f  x    2
liên tục tại x = 1 khi
x
+x-1
x

1




A. a = 1
B. Khơng có a thỏa mãn.
C. a = 0
D. a = -1
Câu 14: Phương trình 2x3 – 6x +1 = 0 có số nghiệm thuộc  2;2 là
A. 1

B. 2
C. 3
D. Vơ nghiệm.
II. PHẦN TỰ LUẬN(3đ)
Câu 1: Tính các giới hạn sau
n4  3n2  1
a, lim 4
(1 điểm)
5n  n  3

3x2  4x  1
b, lim
x1
x 1
c, lim

x



(0.5 điểm)

4 x2  x  3  x



(0.5 điểm)

Câu 2: Xét tính liên tục của hàm số (1 điểm)

 2x 2  5x  3
khi x  1

f (x)   x  1
tại x = 1.
2x  1
khi x  1

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ĐỀ BÀI
I. TRẮC NGHIỆM KHÁCH QUAN(7đ)
2n2  n  5
Câu 1: Kết quả của lim 2
là
3n  n  8
2
5
3
A.
B.
C. 
3
8
2
3
Câu 2: lim(-n - 5n - 2) bằng
A. -3
B. 
C. 
n
n
3  4.6
Câu 3: lim
bằng
7.6n  2
1
4
4

A.
B.
C.
3
7
3
x 1  2
Câu 4: lim
bằng
x 3
x3
B. 

A. 0



D. 0
D. 3

D. -2

1
4

C. 4

D.

C. 10

D. 15

C. 

D. 0

C. 

D. 1

C. – 2

D. 2



Câu 5: lim 2x3  4x2  1 bằng
x 0

A. 
B. 1
2x  1
Câu 6: lim
bằng
x 1
x 1
A. 2
B. 
2

2x  3x  1
Câu 7: lim
bằng
x1
x 1
1
A.
B. 2
2
Câu 8: lim(2x 2  3x  4) bằng
x 

A. 

B. 

Bộ 7 đề kiểm tra 1 tiết chương 4 môn Đại số & Giải tích 11 năm 2019-2020 - Trường THPT Nguyễn Hữu Huân

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