2020年深圳市普通高中高三年级线上统一测试数学(理科)试卷及参考答案

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n
Sn
Sn 2an n
a6 ___________
15
.
012
9
( 0123 )
___________
16
M (m, m 1)
N (n, n 1) (m n)
MN
2
2
C : y 1 x2 x ( 1 x 3) 2
70 22 23
60
17
12
ABC
ABC
a b c ABC
1 cosC
15
5
x
2
6
1000
200
.
95%
50
50
50
6 55
3
1000
6
6 100
200
1
6
6
.
20
6
P(K 2 k0 ) k0
0.05 3.841
0.025 5.024
K2
n(ad bc)2
(a b)(c d )(a c)(b d)
n a b c d.
0.010 6.635
21
12
f (x) ex aln(x 1) .
C8
D 16
OH
ABC
M BC
A AB AC 3HM 3MO
B AB AC 3HM 3MO
C AB AC 2HM 4MO
D AB AC 2HM 4MO
12
[0 ]
f (x) sin( x )( 0)
4
6பைடு நூலகம்
3
A4
13 x, y
14
{an }
B3
C2
D. 1
4
20
x 2y 2 0 x y10 x1
z x 2y
32 21 18 34 29 78 64 54 07 32 52 42 06 44 38 12 23 43 56 77 35 78 90 56 42
A 25
B 23
C 12
D. 07
4
Sn
{an }
n
a2 3 a5 9
S6
A 36
B 32
C 28
D. 24
5
x2 a2
y2 b2 1
a0
b0
(1, 2)
A1 D
N
B1 M
C
A
B
18
19
12
F
C : y2 2 px( p 0) P(1, 2)
l C AB
M
AB 1
OM OP OF .
3
M
2 OA OB 12
l
.
20
12
.
1000
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[0,2] (2,4] (4,6] (6,8] (8,10] (10,12] (12,14]
1
1000
85 205 310 250 130
A3
B5 2
6
tan 3 sin 2( )
4
C5
D. 2
3
A
5
7 (x 2)7 x
3
B
5
x3
4
C
5
4
D
5
A 168
B 84
C 42
D. 21
8
f x ln | e2x 1| x
A
B
C
D
9
1
A 32 3 3
C 36
B 32
D 48
10
M
F1 F2
A2 11
| NF2 |
B4
x2 y2 1 4
9
NM
| MF1 |
45 a b c 1.
2 ac bc ab abc 8 . 27
A
23
150
120
12
5
60
2020.3
1
A {0 1 2 3} B {x | x2 2x 3 0} A B
A ( 1,3)
B ( 1,3]
C (0,3)
2
z 2 3i
z
3 2i
A1
B1
C2
D (0,3] D2
3
30
01 02
19 30
5
.
15
5
34 57 07 86 36 04 68 96 08 23 23 45 78 89 07 84 42 12 53 31 25 30 07 32 86
2 acos B bsin A c a 5 b .
P |m n|
17~21
1
P ___
S a2 +b2 c2 2S .
18
12
ABCD A1B1C1D1
ABCD
A1 A
C1M 2MC A1N 2NA .
1
NC1 // BMD
2 A1A 3 AB 2AD 2
N BD M
.
DAB 3
MN D1
C1C C1
1 aR
f (x)
2
f (x)
(1,1+e a )
e=2.718 28 11 a. a a1
10
22 23
22
10
xOy
x
1 C2
2
C1 C2
C1
44 C1
E, F
x 2 3 t cos , t
y t sin ,
C2
4 sin
P
(2 3, ) 2 EF PE PF
23
10
a, b, c
1 1119 abc