Đề thi học kỳ 2 Toán 10 năm 2020 – 2021 trường THPT Thị xã Quảng Trị

Đề thi học kỳ 2 Toán 10 năm 2020 – 2021 trường THPT Thị xã Quảng Trị gồm hai mã đề: mã đề 01 và mã đề 02, đề được biên soạn theo hình thức 100% tự luận với 05 bài toán, thời gian làm bài 90 phút, đề thi có đáp án, mời các bạn đón xem

90
2
a) Cho
3
, ; .
5 2
cosa a
.
sin
a
6 2 4 4 2 4
sin 2sin cos 3sin cos cos
P x x x x x x
.
x
2
( 1) 2( 1) 2 0
m x m x
.
4 (2
ho A(1; -2), B(5;-4), C(-3; 2).
d
BC
.
, B, C.
5 (1
ho
2 2
2 4 5 0
x y x y
A(0;-1), M(3; 2).
B
2 2
1 1
OP OQ
----------------- ---------------------
sinh: danh:
01 trang)
2021
L
a)
2 2 1.
x x
b)
2
6 0
x x
c)
2 2 1x x
d)
2
x x
1 a
2x 2 x 1 x 3
1.0
1b
2
3
6 0
2
x
x x
x
1.0
1c
3 3
2 2 1 2 1 2 2 1 1
1
x
x x x x x x
x
0.5
0.25+0.25
1d
2 2
0 0
2 0 2
2
2 1
1 2
2 0 2
(2 ) 5 4 0
x x
x x
x
x x x
x
x x
x x x x
0.25+0.25+
0.25+0.25
2a
2
2
3 3 16 4
5 5 25 5
a a
a
4
; sin .
2 5
aa
0.5+0.25
0.25
2b
6 2 4 4 2 4
sin 2sin cos 3sin cos cos
P x x x x x x
=
6 4 2 4 2 2 4 4
sin sin cos 2sin cos 2sin cos cos
x x x x x x x x
=
2 2 4 2 2 2 2 4
cos sin sin 2sin cos sin cos cos
x x x x x x x x
=
2
4 2 2 4 2 2
cos 2sin cos sin sin cos 1
x x x x x x
0.5
0.5
3
2
( 1) 2( 1) 2 0,
m x m x x
TH1: m = 1
TH2: m
2
2
1 0
1
1.
4 3 0
1 2( 1) 0
m
m
Ycbt
m m
m m
1 3m
1 3m
0.25
0.25
0.25
0.25
4a
A 1; 2
: 4 3 10 0
8;6 2(4; 3)
qua
d d x y
VTPT BC
0.5 + 0.5
4b
2 2 2 2
( ) : 2 2 0, 0
C x y ax by c a b c
A, B, C
1 4 2 4 0
( ) 25 16 10 8 0
9 4 6 4 0
a b c
C a b c
a b c
0.25
0.25
2 2
10
11 ( ) ( ) : 20 22 29 0
29
a
b tm C x y x y
c
0.25 + 0.25
5a
I
3 3 7
;
2 2 2
AH AI H
(1;3)
AI
3 12 0
x y
3 3 95 7 95 3 3 95 7 95
; ; ;
2 2 2 2
0.25
0.25
5b
2 2 2 2
1 1 1 1
( )
const
OP OQ OH OM
khi M
:3 2 13 0
H x y
0.25
0.25
90
a) Cho
12
, ; .
13 2
sin a a
.
cos
a
6 4 2 2 4 4
cos 2sin cos 3sin cos sin
P x x x x x x
.
x
2
( 2) 2( 2) 2 0
m x m x
.
4 (2
ho A(-1;2), B(5;-4), C(-3; 2).
d
BC
.
B, C.
5 (1
ho
2 2
2 4 5 0
x y x y
A(0;-1), M(1;4).
2 2
1 1
OP OQ
----------------- ---------------------
sinh: danh:
01 trang)
2021
L
a)
2 1 2.
x x
b)
2
5 6 0
x x
c)
2 2 1x x
d)
2 1
x x
1 a
2x 1 x 2 x 3
1.0
1b
2
3
5 6 0
2
x
x x
x
1.0
1c
3 1
2 2 1 2 1 2 2 1 3
3
x
x x x x x x
x
0.5
0.25+0.25
1d
2
2
0
1
0
1
2
2 1 2 1 0 1
1
2
1;
2 1
4 5 1 0 4
x
x
x
x x x x x
x x
x x
x x
0.25+0.25+
0.25+0.25
2a
2
2
12 12 25 5
cos 1 cos .
13 13 169 13
sin
a a
a
5
; cos .
2 13
aa
0.5+0.25
0.25
2b
6 4 2 2 4 4
cos 2sin cos 3sin cos sin
P x x x x x x
=
6 2 4 4 2 2 4 4
cos sin cos 2sin cos 2sin cos sin
x x x x x x x x
=
2 2 4 2 2 2 2 4
cos sin cos 2sin cos sin cos sin
x x x x x x x x
=
2
4 2 2 4 2 2
cos 2sin cos sin sin cos 1
x x x x x x
0.5
0.5
3
2
( 2) 2( 2) 2 0,
m x m x x
TH2: m
2
2
2 0
2
2.
6 8 0
2 2( 2) 0
m
m
Ycbt
m m
m m
2 4m
2 4m
0.25
0.25
0.25
0.25
4a
A 1;2
: 4 3 10 0
8;6 2(4; 3)
qua
d d x y
VTPT BC
0.5 + 0.5
4b
2 2 2 2
( ) : 2 2 0, 0
C x y ax by c a b c
A, B, C
1 4 2 4 0
( ) 25 16 10 8 0
9 4 6 4 0
a b c
C a b c
a b c
0.25
0.25
2 2
2
5 ( ) ( ) : 4 10 21 0
21
a
b tm C x y x y
c
0.25 + 0.25
5a
I
3 3 7
;
2 2 2
AH AI H
(1;3)
AI
t:
3 12 0
x y
3 3 95 7 95 3 3 95 7 95
; ; ;
2 2 2 2
0.25
0.25
5b
2 2 2 2
1 1 1 1
( )
const
OP OQ OH OM
khi M
: 4 17 0
H x y
0.25
0.25
| 1/6

Preview text:

2021 L 01 tr a n g) 90 2 a) 2x 2 x 1. b) 2 x x 6 0 c) x 2 2x 1 d) x 2 x a) Cho 3 cosa , a ; . sin . a 5 2 6 2 4 4 2 4
P sin x 2sin x cos x 3sin x cos x cos x . x 2 (m 1)x 2(m 1)x 2 0 . 4 (2 ho A(1; -2), B(5;-4), C(-3; 2). d BC . , B, C. 5 (1 ho 2 2 x y 2x 4y 5 0 A(0;-1), M(3; 2). B 1 1 2 2 OP OQ ----------------- --------------------- sinh: danh: 1 a 2x 2 x 1 x 3 1.0 1b x 3 1.0 2 x x 6 0 x 2 1c 3x 3 0.5 x 2 2x 1 2x 1 x 2 2x 1 x 1 x 1 0.25+0.25 1d x 0 x 0 0.25+0.25+ 2 x 0 x 2 x 2 x 2 x x 1 0.25+0.25 2 x 0 2 x 1 x 2 2 2 x (2 x) x 5x 4 0 2a 2 3 2 3 16 4 cos a sin a 1 sin a . 5 5 25 5 0.5+0.25 4 a ; sin a . 0.25 2 5 2b 6 2 4 4 2 4
P sin x 2sin x cos x 3sin x cos x cos x = 6 4 2 4 2 2 4 4 sin x sin x cos x
2 sin x cos x 2sin xcos x cos x = 2 2 4 2 2 2 2 4
cos x sin x sin x 2 sin xcos x sin x cos x cos x 0.5 = 2 4 2 2 4 2 2 cos x 2sin xcos x sin x sin x cos x 1 0.5 3 2 (m 1)x 2(m 1)x 2 0, x TH1: m = 1 0.25 m 1 0 m 1 TH2: m 1.Ycbt 2 2 0.25 m 1 2(m 1) 0 m 4m 3 0 1 m 3 0.25 1 m 3 0.25 4a qua A 1; 2 d d : 4x 3y 10 0 VTPT BC 8;6 2(4; 3) 0.5 + 0.5 4b 2 2 2 2 (C) : x y 2ax 2by c 0, a b c 0 0.25 1 4 2a 4b c 0 A, B, C (C) 25 16 10a 8b c 0 0.25 9 4 6a 4b c 0 a 10 2 2 b 11 (t ) m (C) : x y 20x 22 y 29 0 0.25 + 0.25 c 29 5a I 3 3 7 AH AI H ; 2 2 2 AI (1;3) 0.25 x 3y 12 0 3 3 95 7 95 3 3 95 7 95 ; ; ; 0.25 2 2 2 2 5b 1 1 1 1 0.25 (const) 2 2 2 2 OP OQ OH OM 0.25 khi M H : 3x 2y 13 0 2021 L 01 tr a n g) 90 a) 2x 1 x 2. b) 2 x 5x 6 0 c) x 2 2x 1 d) x 2x 1 a) Cho 12 sin a , a ; . cos . a 13 2 6 4 2 2 4 4
P cos x 2sin xcos x 3sin xcos x sin x . x 2 (m 2)x 2(m 2)x 2 0 . 4 (2 ho A(-1;2), B(5;-4), C(-3; 2). d BC . B, C. 5 (1 ho 2 2 x y 2x 4y 5 0 A(0;-1), M(1;4). 1 1 2 2 OP OQ ----------------- --------------------- sinh: danh: 1 a 2x 1 x 2 x 3 1.0 1b x 3 1.0 2 x 5x 6 0 x 2 1c 3x 1 0.5 x 2 2x 1 2x 1 x 2 2x 1 x 3 x 3 0.25+0.25 1d x 0 1 0.25+0.25+ x 0 x 1 2 x 2x 1 2x 1 0 x x 1 0.25+0.25 2 1 2 x 1; 2 1 x x x 2 4x 5x 1 0 4 2a 2 12 12 25 5 2 sin a cos a 1 cos a . 13 13 169 13 0.5+0.25 5 a ; cos a . 0.25 2 13 2b 6 4 2 2 4 4
P cos x 2sin xcos x 3sin x cos x sin x = 6 2 4 4 2 2 4 4 cos x sin x cos x 2sin xcos x 2sin xcos x sin x = 2 2 4 2 2 2 2 4
cos x sin x cos x 2sin x cos x sin x cos x sin x 0.5 = 2 4 2 2 4 2 2 cos x 2sin xcos x sin x sin x cos x 1 0.5 3 2 (m 2)x 2(m 2)x 2 0, x 0.25 m 2 0 m 2 TH2: m 2.Ycbt 2 2 0.25 m 2 2(m 2) 0 m 6m 8 0 0.25 2 m 4 2 m 4 0.25 4a qua A 1;2 d d : 4x 3y 10 0 VTPT BC 8;6 2(4; 3) 0.5 + 0.5 4b 2 2 2 2 (C) : x y 2ax 2by c 0, a b c 0 0.25 1 4 2a 4b c 0 A, B, C (C) 25 16 10a 8b c 0 0.25 9 4 6a 4b c 0 a 2 2 2 b 5 (tm) (C) : x y 4x 10y 21 0 0.25 + 0.25 c 21 5a I 3 3 7 AH AI H ; 2 2 2 AI (1;3) t: 0.25 x 3y 12 0 3 3 95 7 95 3 3 95 7 95 ; ; ; 0.25 2 2 2 2 5b 1 1 1 1 0.25 (const) 2 2 2 2 OP OQ OH OM 0.25 khi M H : x 4y 17 0