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
là
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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