20 Đề kiểm tra 1 tiết chương 4 giải tích 11

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Mã đề 1A

BÀI KIỂM TRA GIẢI TÍCH 11- CHƯƠNG 4 (45’)
Họ và tên HS:...................................................................Lớp 11A…
Điểm

Lời nhận xét của thầy, cô giáo

Đề bài
Đề 1(A)
Câu 1.(2đ). Tìm các giới hạn sau
3n3 − 5n + 3
a ) lim
;
2n3 − n 2

b) lim (

n + 1 cos n
+ n )
n
3

Câu 2.(3đ). Tìm các giới hạn sau
x2 −1
x 2 + 9 x + 20
b
)
lim

(
);
;
x →−∞
x →( −4)
3x
x2 + 4 x

a ) lim

c) lim−
x →1

Câu 3.(3đ). Tìm m để hàm số sau liên tục trên

| x − 1|
3 − 3x

¡

 m 2 + m − 4 x, x < 1

f ( x) =  2,
x =1
 x 2 + 4 x − 3, x > 1

x5 + 2007 x 4 +

Câu 4.(2đ). Chứng minh rằng phương trình
âm.

1
=0
2007

có ít nhất một nghiệm

Bài làm
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Mã đề 1B

BÀI KIỂM TRA GIẢI TÍCH 11- CHƯƠNG 4 (45’)

Họ và tên HS:...................................................................Lớp 11A…
Điểm

Lời nhận xét của thầy, cô giáo

Đề bài
Đề 1(B)
Câu 1.(2đ). Tìm các giới hạn sau
a ) lim

−2n3 − 5n + 3
;
4 n3 − n 2

b) lim (

2n + 1 sin n
+ n )
n
3

Câu 2.(3đ). Tìm các giới hạn sau
(2 x − 1) x 2 − 3
x3 + 8
a ) lim 2
; b) lim
;
x →−∞
x →( −2) x + 11x + 18
x − 5x2

Câu 3.(3đ). Tìm m để hàm số sau liên tục trên

c) lim −
x → ( −1)

x 2 + 3x + 2
| x + 1|

¡

 x2 , x < 1
f (x) = 
2mx − 3, x ≥ 1

Câu 4.(2đ). Chứng minh rằng phương trình
âm.

x 3 + 1000 x 2 + 0,1 = 0

có ít nhất một nghiệm

Bài làm
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Mã đề 2A

BÀI KIỂM TRA GIẢI TÍCH 11- CHƯƠNG 4 (45’)
Họ và tên HS:...................................................................Lớp 11A…
Điểm

Lời nhận xét của thầy, cô giáo

Đề bài
Đề 2(A)
Câu 1.(2đ). Tìm các giới hạn sau
a ) lim

3n3 − 5n + 3
;

2n3 − n 2

b) lim (

n + 1 cos n
+ n )
n
3

Câu 2.(3đ). Tìm các giới hạn sau
x2 −1
x 2 + 9 x + 20
b
)
lim
(
);
;
x →( −4)
x →−∞
3x
x2 + 4 x

a ) lim

c) lim−
x →1

Câu 3.(3đ). Tìm m để hàm số sau liên tục trên

| x − 1|
3 − 3x

¡

 m 2 + m − 4 x, x < 1

f ( x) =  2,
x =1
 x 2 + 4 x − 3, x > 1

x5 + 2007 x 4 +

Câu 4.(2đ). Chứng minh rằng phương trình
âm.

1
=0
2007

có ít nhất một nghiệm


Bài làm
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Mã đề 2B

BÀI KIỂM TRA GIẢI TÍCH 11- CHƯƠNG 4 (45’)
Họ và tên HS:...................................................................Lớp 11A…
Điểm

Lời nhận xét của thầy, cô giáo

Đề bài
Đề 2(B)
Câu 1.(2đ). Tìm các giới hạn sau
−2n 4 − 5n + 3
a ) lim
;
n4 − n2

b) lim (

−3n + 7 (−1)n

+
)
2n − 1 (n + 1)

Câu 2.(3đ). Tìm các giới hạn sau
2
( x − 2)3 + 8 b) lim x − 3 x + 2 ;
;
x →−∞
x →0
2− x
x

a ) lim

c) lim +
x → ( −1)

Câu 3.(3đ). Tìm m để hàm số sau liên tục trên

x2 + 3x + 2
| x + 1|

¡

 x 2 − 2, x ≤ 2
f ( x) =  2
 mx + 2 x, x > 2

Câu 4.(2đ). Chứng minh rằng phương trình

3x3 + 2 x − 2 = 0

có ít nhất một nghiệm

x ∈(0,1).


Bài làm
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Mã đề 3A

BÀI KIỂM TRA GIẢI TÍCH 11- CHƯƠNG 4 (45’)
Họ và tên HS:...................................................................Lớp 11A…
Điểm

Lời nhận xét của thầy, cô giáo

Đề bài
Đề 3(A)
Câu 1.(2đ). Tìm các giới hạn sau
−n5 − 5n 2 + 3
a ) lim
;
7 n5 − n 2

b) lim (

−2n + 3 ( −1) n
+
)
5n − 1 ( n + 1)

Câu 2.(3đ). Tìm các giới hạn sau
x2 − 4
x 2 − 4 b) lim
;
a ) lim
;
x → 2−

( x 2 + 1)(2 − x)
x →2 x − 2

c) lim +
x → ( −2)

Câu 3.(3đ). Tìm m để hàm số sau liên tục trên

¡

x| x+2|
x 2 + 3x + 2


 x 2 − 1, x ≤ 1
f ( x) =  2
mx + 2 x, x > 1

Câu 4.(2đ). Chứng minh rằng với mọi
một nghiệm

m ∈(2,34)

, phương trình

x3 + 3x − 2 = m

có ít nhất

x ∈(1,3).

Bài làm
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Mã đề 3B

BÀI KIỂM TRA GIẢI TÍCH 11- CHƯƠNG 4 (45’)
Họ và tên HS:...................................................................Lớp 11A…
Điểm

Lời nhận xét của thầy, cô giáo

Đề bài
Đề 3(B)
Câu 1.(2đ). Tìm các giới hạn sau

a ) lim

−5n 4 − 5n + 3
;
2n 4 − n 2

b) lim (

−3n + 9 cos n
+
)
2n + 3
n +1

Câu 2.(3đ). Tìm các giới hạn sau
x2 − 4x + 3
x4 − 1
b) lim
;
;
x →−∞
x →−1 x 2 + 11x + 10
3− x

a ) lim

c) lim +
x →( −3)

x2 + 5x + 6

| x +3|


Câu 3.(3đ). Tìm m để hàm số sau liên tục trên

¡

 x3 − 1
, x ≠1

f ( x) =  x − 1
 m + 1, x = 1


Câu 4.(2đ). Chứng minh rằng phương trình

2 x3 − 6 x + 1 = 0

có ít nhất ba nghiệm

x ∈(−2, 2).

Bài làm
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Mã đề 4A

BÀI KIỂM TRA GIẢI TÍCH 11- CHƯƠNG 4 (45’)
Họ và tên HS:...................................................................Lớp 11A…
Điểm

Lời nhận xét của thầy, cô giáo

Đề bài
Đề 4(A)
Câu 1.(2đ). Tìm các giới hạn sau
a ) lim

3n3 − 5n + 3
;
2n3 − n 2

b) lim (

Câu 2.(3đ). Tìm các giới hạn sau

n + 1 cos n
+ n )
n
3


(2 x − 1) x 2 − 3
x3 + 8
a ) lim 2
; b) lim
;
x →−∞
x →( −2) x + 11x + 18
x − 5x2

Câu 3.(3đ). Tìm m để hàm số sau liên tục trên

c) lim −
x → ( −1)

x 2 + 3x + 2
| x + 1|

¡

 x 2 − 3x + 2
, x<2


f ( x) =  x 2 − 2 x
 mx + m + 1, x ≥ 2


Câu 4.(2đ). Chứng minh rằng phương trình

3x3 + 2 x − 2 = 0

có ít nhất một nghiệm

x ∈(0,1).

Bài làm
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Mã đề 4B

BÀI KIỂM TRA GIẢI TÍCH 11- CHƯƠNG 4 (45’)
Họ và tên HS:...................................................................Lớp 11A…
Điểm

Lời nhận xét của thầy, cô giáo

Đề bài
Đề 4(B)
Câu 1.(2đ). Tìm các giới hạn sau
a ) lim

−2n3 − 5n + 3
;
4 n3 − n 2

Câu 2.(3đ). Tìm các giới hạn sau

b) lim (

2n + 1 sin n
+ n )
n
3


x2 − 4
x 2 − 4 b) lim

;
a ) lim
;
2
x → 2−
(
x
+
1)(2
−
x
)
x →2 x − 2

c) lim +
x → ( −2)

Câu 3.(3đ). Tìm m để hàm số sau liên tục trên

x| x+2|
x 2 + 3x + 2

¡

 x 2 − 1, x ≤ 1
f ( x) =  2
 mx + 2 x, x > 1

Câu 4.(2đ). Chứng minh rằng với mọi
một nghiệm

m ∈(2,34)

, phương trình

x3 + 3x − 2 = m

có ít nhất

x ∈(1,3).

Bài làm
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Mã đề 5A

BÀI KIỂM TRA GIẢI TÍCH 11- CHƯƠNG 4 (45’)
Họ và tên HS:...................................................................Lớp 11A…
Điểm

Lời nhận xét của thầy, cô giáo

Đề bài
Đề 5(A)
Câu 1.(2đ). Tìm các giới hạn sau


−2n3 − 5n + 3
a ) lim
;
7 n3 − n 2

b) lim (

2n + 3
1
+
)
n − 1 n(n + 1)

Câu 2.(3đ). Tìm các giới hạn sau
x2 − 4
x 2 − 4 b) lim

;
a ) lim
;
x → 2−
( x 2 + 1)(2 − x)
x →2 x − 2

c) lim +
x → ( −2)

Câu 3.(3đ). Tìm m để hàm số sau liên tục trên

x| x+2|
x 2 + 3x + 2

¡

 x 2 − 3x + 2
, x<2

f ( x) =  x 2 − 2 x
 mx + m + 1, x ≥ 2


Câu 4.(2đ). Chứng minh rằng phương trình
âm.

x 3 + 1000 x 2 + 0,1 = 0

có ít nhất một nghiệm

Bài làm
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Mã đề 5B

BÀI KIỂM TRA GIẢI TÍCH 11- CHƯƠNG 4 (45’)
Họ và tên HS:...................................................................Lớp 11A…
Điểm

Lời nhận xét của thầy, cô giáo

Đề bài
Đề 5(B)

Câu 1.(2đ). Tìm các giới hạn sau
−5n 4 − 5n + 3
a ) lim
;
2n 4 − n 2

b) lim (

−3n + 7 cos n
+
)
2n − 1
n +1

Câu2.(3đ). Tìm các giới hạn sau
x2 −1
x 2 + 9 x + 20
b
)
lim
(
);
;
x →−∞
x →( −4)
3x
x2 + 4 x

a ) lim

c) lim−
x →1

Câu 3.(3đ). Tìm m để hàm số sau liên tục trên

| x − 1|
3 − 3x

¡

 x3 − 1
, x ≠1

f ( x) =  x − 1
 m + 1, x = 1


Câu 4.(2đ). Chứng minh rằng phương trình

3x3 + 2 x − 2 = 0

có ít nhất một nghiệm

x ∈(0,1).

Bài làm
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Mã đề 6A

BÀI KIỂM TRA GIẢI TÍCH 11- CHƯƠNG 4 (45’)
Họ và tên HS:...................................................................Lớp 11A…
Điểm

Lời nhận xét của thầy, cô giáo

Đề bài


Đề 6(A)
Câu 1.(2đ). Tìm các giới hạn sau
3n3 − 5n + 3

a ) lim
;
2n3 − n 2

−3n + 7 (−1)n
b) lim (
+
)
2n − 1 (n + 1)

Câu2.(3đ). Tìm các giới hạn sau
x2 − 4
x 2 + 9 x + 20 b) lim
;
a ) lim
;
2
x → 2−
2
(
x
+
1)(2
−
x
)
x →( −4)
x + 4x

Câu 3.(3đ). Tìm m để hàm số sau liên tục trên

c) lim +
x → ( −2)

x| x+2|
x 2 + 3x + 2

¡

 x 2 − 3x + 2
, x<2

f ( x) =  x 2 − 2 x
 mx + m + 1, x ≥ 2


Câu 4.(2đ). Chứng minh rằng phương trình

3x3 + 2 x − 2 = 0

có ít nhất một nghiệm

x ∈(0,1).

Bài làm
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Mã đề 6B

BÀI KIỂM TRA GIẢI TÍCH 11- CHƯƠNG 4 (45’)
Họ và tên HS:...................................................................Lớp 11A…
Điểm

Lời nhận xét của thầy, cô giáo


Đề bài
Đề 6(B)
Câu 1.(2đ). Tìm các giới hạn sau
−2n3 − 5n + 3 b) lim ( −5n + 8 + cos n )
a) lim
;
2n − 1

n +1
4n3 − n 2

Câu 2.(3đ). Tìm các giới hạn sau
x2 − 9
x 2 − 4 b) lim
;
a ) lim
;
x →3−
( x 2 + 1)(3 − x )
x →2 x − 2

c) lim −
x → ( −2)

Câu 3.(3đ). Tìm m để hàm số sau liên tục trên

x| x+2|
x 2 + 3x + 2

¡

 x3 − 1
, x ≠1

f ( x) =  x − 1
 m + 1, x = 1


Câu 4.(2đ). Chứng minh rằng phương trình
âm.

x 3 + 1000 x 2 + 0,1 = 0

có ít nhất một nghiệm

Bài làm
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Mã đề 7A

BÀI KIỂM TRA GIẢI TÍCH 11- CHƯƠNG 4 (45’)
Họ và tên HS:...................................................................Lớp 11A…