數學 必修部分 試卷二 樣本試卷 - hkeaa.edu.hk · pdf file香港考試及評核局...
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HKDSE-MATH-CP 2 1 ( ) 33
30 15
31. (3a)2 a =
A. 3a5
B. 6a6
C. 9a5
D. 9a6
2. 5 3m = 2n m =
A. n
B. 2n 3 5
C. 2n3 + 5
D. 2n3 +15
2 23. a b + 2b 1 =
A. (a b 1)(a + b 1)
B. (a b 1)(a + b +1)
C. (a b +1)(a + b 1)
D. (a b +1)(a b 1)
HKDSE-MATH-CP 2 2 () 34
4. p q
A. 25
B. 10
C. 3
D. 5
5)2)((5)(2 ++++ xxqp xx q =
5. 372f ( ) 23 ++= xxxx
A. 3
B. 5
C. 17
D. 33
f ( )x x + 2
6. a )(1))(( axaxax =
A. +1= ax
B. + 2= ax
C. ax = +1= ax
D. ax = + 2= ax
7. k
A. k < 7
B. k > 7
C. k < 11
D. k > 11
kxx = 262
HKDSE-MATH-CP 2 3 () 35
8. y = f (x) L A(1, k) B(7 , k)
I. f (x) > k x < 1 x > 7 II. f (x) = k 1 7 III. y = f (x) x = 3
A. I II y
B. I III
y = f (x) C. II III
D. I II III LA B
xO
9. 325 x +
A. x > 2
B. x > 1
C. x > 1
D. 12
11. an n a1 = 4 a2 = 5 n an+2 = an + an+1 =a10
A. 13
B. 157
C. 254
D. 411
12. 20% x% 50% x =
A. 20
B. 25
C. 30
D. 35
13. x y z 2x = 3y x = 2z (x + z) : (x + y) =
A. 3 : 5
B. 6 : 7
C. 9 : 7
D. 9 :10
14. z x y x = 3 y = 4 z =18 x = 2 z = 8 y =
A. 1
B. 3
C. 6
D. 9
HKDSE-MATH-CP 2 5 () 37
15. 15 cm 24 cm 25 cm cm 0.1%
A. 0.8%
B. 2.3%
C. 4.7%
D. 6.3%
16. O C D OBC BAD OC = 20 cm
OA = AB = 10 cm BCD cm2
2 D A. 214 cm
2 B. 230 cm
2 C. 246 cm
2 D. 270 cm
C B
AO
17. a cm2 b cm2 c cm2
r
r 2
r
r
A. a < b < c
B. a < c < b
C. c < a < b
D. c < b < a
2r
r
HKDSE-MATH-CP 2 6 () 38
C
18. ABCD T AB DT AB CD = 9 cm AT :TB = 1: 2 ABCD 36 cm2 ABCD
A. 26 cm D
B. 28 cm
C. 30 cm A B
D. 32 cm T
sin cos(270 )19. + = cos 60 tan 45
A. sin
B. 3sin
C. 2sin cos
D. 2sin + cos
20. AB =1 cm BC = CD = DE = 2 cm EF = 3 cm A F 0.1 cm
A. 7.2 cm A B
B. 7.4 cm
DC C. 8.0 cm
D. 8.1 cm E F
21. ABCD BC = CD ADC =
A. 118
B. 121
C. 124
D. 126
A
D 28
B
HKDSE-MATH-CP 2 7 () 39
C
22. O ABCDE ABE = 30 CDE = 105 AOC =
A. 120
24. ABC BD = CD
A. 8 cm
B. 13 cm
C. 14 cm
D. 15 cm
C A
AD BF CD
cm10=BA BC cm
2040
D
O
105
C A
E D
B
30
A D
CB
E
F
B
B. 135
C. 150
D. 165
23. ABCD F E CD : DE = 2 :1 AF : BC =
A. 1: 2
B. 2 : 3
C. 3 : 4
D. 8 : 9
HKDSE-MATH-CP 2 8 () 40
25.
A.
B.
C.
D.
26. ( 4,3) 180
A. (3, 4)
B. (3 , 4)
C. (4, 3)
D. (4 , 3)
27.
30 40 50 60 70 80 90
50
A. 25%
B. 50%
C. 70%
D. 75%
HKDSE-MATH-CP 2 9 () 41
28. 23 cm
15 3 3 4 5 6 7 9 16 1 2 2 3 5 6 6 8 17 1 2 6 7 9 18 2 6 7
A. 164 cm
B. 165 cm
C. 165.5 cm
D. 166 cm
29. { a 7 , a 1 , a , a + 2 , a + 4 , a + 8 } { a 9 , a 2 , a 1 , a + 3 , a + 4 , a + 6 }
I. II. III.
A. I
B. II
C. I III
D. II III
30. 950
I. II. III.
A. I II
B. I III
C. II III
D. I II III
HKDSE-MATH-CP 2 10 () 42
1 x 131. + = 2 x (x 2)2
A. (2 3
x)2
B. (2
1 x)2
C. (22 x
x
)32
+
D. (22x x)3
2
32. x log5 y y = abx a =
A. 1 log5 y
B. 2
C. 52
D. 25
O x
33. 10100100010012 =
A. 212 + 210 +137
B. 212 + 210 + 273
C. 213 + 211 +137
D. 213 + 211 + 273
34. k 4k 6 + ki = i
A. 3k + 6i
B. 3k 6i
C. 5k + 6i
D. 5k 6i
HKDSE-MATH-CP 2 11 () 43
0 x 6 35.
0 y 3 x 2y
A. OAC y
B. OBD F D3 C. OCE
2 E D. ODF
1
B xO 1 2 3 4 5 6
A
C
36. 3 6 18 6 2
A. 8
B. 10
C. 26
D. 34
37. y = f (x) y = g(x)
A. g(x) = f (x 2) 3 y
B. g(x) = f (x 2) + 3 y = f (x)
C. g(x) = f (x + 2) 3 y = g(x)
xO D. g(x) = f (x + 2) + 3
(2, 3)
38. y =
A. x sin 77 sin 56
x sin 47 B. sin 56
56
47
y x
C. x sin 56 sin 77
x sin 77 D. sin 47
HKDSE-MATH-CP 2 12 () 44
39. $P 6% $10 000 P
A. 806.63
B. 829.19
C. 833.33
D. 882.18
40. ABCDEFGH ACE ABCD tan =
E H A. 2
B. 3 F
6 cm2
C. 5 2
C
D. 125
A
G
D
3 cm
B4 cm
41. A B C TA A CBT TA BC = 6 cm 0.1 cm
T A. 3.2 cm
20
B
B. 3.9 cm
A C C. 4.2 cm
D. 4.7 cm
42. a 90 < b < 90 y = a cos(x + b)
A. a = 3 b = 40 y
3
B. a = 3 b = 40
C. a = 3 b = 40 O x140
D. a = 3 b = 40
HKDSE-MATH-CP 2 13 () 45
43. A 2 3 4 B 2 3 4
A. 13 81
29 B. 81
C. 52 81
D. 68 81
44. 2 5
1 A. 7
2 B. 7
6 C. 7
1 D. 21
45. 32 27 25 3
A. 64 60 50
B. 70 60 100
C. 70 54 50
D. 70 54 100
HKDSE-MATH-CP 2 14 () 46