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BỘ GIÁO DỤC & ĐÀO TẠO

ĐỀ KIỂM TRA TOÁN LỚP 11

TRƯỜNG THPT NGUYỄN BỈNH KHIÊM

Môn: Đại Số và Giải Tích
Thời gian làm bài: 45 phút.
Năm học: 2017-2018.

Họ và tên: ……………………………………. Lớp: ..........................

Phần I. Trắc nghiệm. (5 câu – 2,5 điểm)
Câu 1: Trong các hàm số sau, hàm số nào là hàm số chẵn:
y = cos x

B.

C.

D.

y = cotx

y = s inx

A.

Câu 2: Phương trình lượng giác :
x=


π
+ kπ
3

A.

x=−

B.

x≠

A.

π
+ k 2π
2

Câu 4: Phương trình :
 m < −1
m > 1


x≠

B.
cos x = m

B.


có nghiệm là :
π
+ k 2π
3

y = tan x

Câu 3: Tập xác định của hàm số

A.

y = tan x

x=

C.

π
+ kπ
6

D.

π
+ kπ
3



π

+ kπ
2

x≠−

C.

π
+ k 2π
2

D.

x ≠ kπ

có nghiệm khi m là:

m >1

C.

−1 ≤ m ≤ 1

Câu 5: Phương trình tan x =1 có số nghiệm thuộc đoạn
A. 2

x=−

B. 4


C. 5

Phần II. Tự luận. (7,5 điểm)
Giải các phương trình sau:

1

[-π , π ]

D.

m < −1

là:
D. 6


a,
b.

c.

π
2

cos  3 x − ÷ = −
.
6
2



cot 2 3 x − cot 3 x − 2 = 0

(1)

; (2)

sin x − 3 cos x = 2

Bài làm
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