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2. @'AB8C,ADEF8'GH,IJKL'89?MN8O0'GP3QR。
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1. hij U = R,jk A = {x∈Z | x2 < 16},B = {x | x - 1≤0},l A∩(U B)=
A. {1,2,3} B. {2,3} C. {x |1≤x < 4} D. {x |1 < x < 4}
2. mnop z qr1 + i
z = 1 - i,l| z| =
A. 槡2 2 B. 2 C. 槡2 D. 1
3. mnst →OA = (3,- 4),→OB = (6,- 3),→OC = (2m,m + 1),h →AB∥ →OC,lup m 0v
w
A. 1
5 B. - 3
5 C. - 3 D. - 1
7
4. xp f(x)= ln | x |
x3 0yz{|}~w
!"p&8 1 ( 4 )5. “a < - 1”“ x0 ∈R,asinx0 + 1 < 0”0
A. z
, B. ,
z
C. D.
z
,
6. h log3 (2a + b)= 1 + log槡3 槡ab,l a + 2b 0Fvw
A. 6 B. 8
3 C. 3 D. 16
3
7. mn C:x2 + y2 - 10y + 21 = 0 x2
a2 - y2
b2 = 1(a > 0,b > 0)0,l
0w
槡A. 2 B. 5
3 C. 5
2 槡D. 5
8. mn" S - ABC 0w 槡4 3, w 6,l"¡¢£0¤¥
w
A. 16π B. 20π C. 32π D. 64π
B、C(+,-:.-/ 4 0-,10- 5 2,/ 20 2. 310-456+(9,;C(=
>-?@A,DE+F6G 5 2,E2+F6G 3 2,;+H6G 0 2.
9. mn a,b,c,d ¦wup,l§¨©8ª0
A. h a > b,c > d,l ac > bd
B. h ab > 0,bc - ad > 0,l c
a - d
b > 0
C. h a > b,c > d,l a - d > b - c
D. h a > b,c > d > 0,l a
d > b
c
10. mn α,β «¬
k0®,m,n «
k0¯,l§¨©8ª0
A. h m∥n,m⊥α,l n⊥α
B. h m∥α,α∩β = n,l m∥n
C. h m⊥α,m⊥β,l α∥β
D. h m⊥α,m∥n,n β,l α⊥β
11. S {,7 ° ± ABCD ²,AB ∥ CD,AB ⊥ AD,
AB = 2AD = 2DC,E w BC ?e³,´ →BC = 3 →EC,F w
AE 0²³,l
A. →BC = - 1
2
→AB + →AD
B →. AF = 1
3
→AB + 1
3
→AD
C →. BF = - 2
3
→AB + 1
3
→AD
D. →CF = 1
6
→AB - 2
3
→AD
!"p&8 2 ( 4 )12. mnxp f(x)@#;
(2)p¨{bn }qr bn = 1
4Sn - 1,Tn wp¨{bn }0) n >:,AB7Cp m,
k(1 < m < k),D* Tk = 3Tm
2 ?hB7,6D m,k 0v;h
B7,EFGHI.
19. (12 2)
S{,7 " P - ABC ²,△PAC w 4 J ¯ ½ " ½ ±,
∠APC = 90°,△ABC w"½±,D w AC 0²³,AC = 2.
(1)KG:PB⊥AC;
(2)h" P - ABC 0L¥w槡3
3 ,6ͽ A - PC - B 0MNv.
20. (12 2)
S{ÞO,¸eP4J¯½"½±QP ABC,∠A =90°,BC 2
RS,TMõPQUVWXUY,=Z[ BC 0²³ D \D«ò
45°½0] DE : DF, AB : AC 'ò° ±9ÿ AEDF,79
ÿ¼^_`a,]M9ÿ^_bc;þ∠BDE = α,&6`a^_
¥ S(α)0%v&'.
21. (12 2)
mnd E:x2
a2 + y2
b2 = 1 (a > b > 0)0
e qr2e2 槡- 3 2e + 2 = 0,(e³w
A,?e³w B,³ C(0,- 2),û³ C Æe
y 3
k0¯ l,¯ l gd E
ü P,Q «³,¯ BP,BQ z¾g x 3ü³
M,N;·¯ l Êû³ A C,l 0fw槡2.
(1)6d E 0gh;(2)KG:S△BOM ·S△BCN w