1. 第 1 頁 共 2 頁
2
( ) cos x
f x x x e
0
( ) ( )
lim
h
f h f h
h
A B C D
2.
BC AB 4
A
B
C
D
3. log3 0.4771 n
1
10 9n n
n
A B C D
4. A (0, 1) B
6 4
( , )
5 5
2
2
1
4
x
y
C ( , )a b ABC
ABC
A
2 2 10
5
B
3 2 10
5
C
2 3 10
5
D
3 3 10
5
5.
A B C D
6. (0,0)A (2,0)B (2,1)C (0,1)D
p P P (3,1)
A
1
2
B
2
3
C
3
4
D
4
5
7. 3 3
2 3 2 3x 3
3 1x x
A 1 2 3 B 3 3 C 6 3 D 7 2 3
8. ,0122:1 yxL ,042:2 yxL
3 : 2 2 0L x y
0 0( , )x y 0 03x y
A B C D
9. 𝑥2
+ 𝑦2
= 3𝑧2
A 1 B 4 C 6 D 12
10. ∫ √9 − 𝑥2 𝑑𝑥
3
0
=
A 𝜋
B
3
2
𝜋
C
7
4
𝜋
D
9
4
𝜋
11. 4 5 6
3
A 50
B 225/44
C 189/49
D 289/50
12. 6 4 2
1 0x x x
2 1
2
2
2
3 2 3
4 2
3 2
2
2. 第 2 頁 共 2 頁
13. (1 + 𝑥 + 2𝑦 + 3𝑧)6
A 24
B 18
C 84
D 360
14. 𝑟 =
1
𝜃
𝜃 = 𝜋
A 0
B 1
C 𝜋/2
D – 𝜋
15. 𝑎 𝑛 = 𝑎 𝑛−1 + 𝑎 𝑛−2 𝑎0 = 𝑎1 = 1
𝑎100 × 𝑎103 − 𝑎101 × 𝑎102
A 0
B 1
C −1
D 𝑎99 × 𝑎98
16. 470
11 37
A
B 9
C 8
D 11
17. 01
5
5
6
6
7
7
7
)12( axaxaxaxax
1357 aaaa
A B C D
2
4y x 2
y x
A
6 2
7
B
5 2
6
C
5 2
3
D
16 2
3
}0|),,,{( 4
dcaRdcbaS
}2,0|),,,{( 4
dcbaRdcbaT dim( )S T
A 2 B 1 C 3 D
yxM 4 yx,
0
2
124
63
y
x
yx
yx
A B C D
10)130)(15)(13)(12( xxxx
A
15
314
B
2
172
C
2
233
D
2 2
cos sin
5 5
i
2 4
1
1 1
A B C D
1
2
1 1
2 2
0 0
sin( )
x
x y dydx
A
3
B (1 cos1)
4
C
4
D
2
wzyx ,,,
255
34
23
12
wzyx
wzyx
wzyx
wzyx
w
A 2 B 3 C
2
11
D
2
17
33
,
5
14
6
3
2
1
6
22
10
6
0
4
3
6
2
1
2
1
0
1
0
A
1
2
1
B
1
2
1
C
1
2
1
D
1
3
1