106年学科能力测验数学详解.PDF
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1. r1 r2 r1 r2
(1) (2) (3)
(4) (5)
(1)
r1 07 r2 05
207705
(1) ⃝ 2 : 7 27
2007n05
(2) 20 n 20n
(3) (2)
(4) m n m n 100 m n
m07n05
100
(5) N M N M 60 N M
60
N M
07 05
2. a a2 b
813 b
(1) 17 (2) 3 (3) 52 (4) 9 (5) 81
(3)
b b2 (b2)2 b4 (b4 )2 b8
8 3 ( 4 )3 12 12 3
b 81 3 3 b 3 8 32 3 3 52
1
2 2
y x 2
3. Γ : a2 b2 1 l (t t )
t 0 t 0
(1) Γ l
(2) Γ l
(3) l Γ
(4) Γ l
(5) l Γ
(5)
y x2 x 0 0 t 0
l y x2 l Γ l x l
4. A C
B D 1 B D
(1)
(2)
(3)
1
(4) 2
1
(5)
2
(4)
1
2
A (0 0 0) B(1 0 0) C(1 1 0) D(1 1 1)
⇀
P(t 0 0) Q(1 1 t) PQ (1 t 1 t)
2
2 ⇀
2 2 2
PQ PQ (1 t) 1 t
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