平成22年 日本留学考试 数学1

a JK JK < NO <a< LM , NO <a< PQ
5
IV
2 x+y−z =0 2x − y + 1 = 0 x y z ax2 + by 2 + cz 2 = 1 a b c y z x y= y= y z x x (a + E x b+ F c)x2 + ( G b+ H c)x + b + c = 1 A C x+ x+ B D
1
I
1 (x − 1)2 = 3x − 5
(1) A <
5 x> = 3 B
x=
A
,
B
(2) m−1<α< =m
C m DE
α
1
2
x, y a x + y = 5, xy = 3
3
(a) (b) (c)
b x + y = 5, x2 + y 2 = 19 c x2 + y 2 = 19, xy = 3
0
(2)
4
EFG
(i) 1 (ii) 0 (iii) 2
3 4
2 2 2
H I JK
3
2
BC
ABD
A D 3 S BC B √ DA= NO √ C
AB=3 BD=5 tan ∠ABD = 3 4 ABCD CD DA ABCD
cos ∠ABD =
L M P Q
sin ∠ABD = CD= V W
2010.11.07 okd http://www.xiaochuncnjp.com/ mone! http://monemone.co.de/ 7
x = 0百度文库x = 1 x = −1

b+ a + 9b + a+ b+ a b c a= L , b=
IJ K
c=1 c=1 c=1
M
, c=
NO
6
I 1 A 2 B 3 C 4 DE −2 F 2 G 3 H 5 2 IJ −5 II 1 AB 96 CD 24 EFG 500 H 6 III AB −5 C 3 DEF −35 GHI −27 IV AB 21 CD 31 EFGH 4946 IJ 16 K 4 L 6 M 3 NO −2 JKLM −9 − 7 NOPQ −5 − 3 I 3 JK 48 LM 45 NO 10 PQ 35 2 RSTU 5103 VW 53 XYZ 263 K 0 L 1 M 2
(1)
x2 + y 2 = (x + y )2 − (b) (c) xy = x+y =
F G H
xy
x+y =
IJ
(2)
K (i) (a) (ii) (b) (iii) (c) (b) (c) (a)
M K L M
0
3
0 1 2 3
2
II
1 5 0 1 2 3 4 4 0123 4
(1) CD
AB
R BC= U
ST
S=
XY Z
4
III
x 2 x2 + 2x − 15 = 0 2x2 + 3x + a2 + 12a = 0 α β (α < β) 2 α<γ<β<δ a γ δ
(1) α =
AB , β =
C b α<γ b > DEF
(2) b = a2 + 12a
γ<β<δ b< GHI