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TRML-20131. m n )5(4)( 2 nmxxxf 2
[]16
)5()8
(4)5(4)(2
22 mn
mxnmxxxf 25
16
2
nm
,
nm 16482 , ),( nm 4n , 4~1m ; 5n , 5~1m ; 6n , 6~1m .
12
5
66
654
.
2. 0355273 2 yxxyx (x,y )x +y
[]57
3523 2
x
xxy , ,x y, 0
57
3523 2
x
xx, 0x
0)57)(3523( 2 xxx , 0x .3
1061
7
5 x , x 3,2,1 .
)1,3(),3,2(),17,1(),( yx , yx 18.
3.40605/7/
[],
)2
1(405216002549 22 ttt ,
0200253 2 tt ,
0)403)(5( tt ,3
40t .
4.A C 6AB CEBC
D BCCD 2 ABC=30
ADE
ABC
=
[](i) AB , 90ACB ;
30ACE () ; 603090ECD
(ii) 60ECDEAD ,
7/30/2019 2013TRML .pdf
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45(3,0)
(1,0)
AO(0,0) B
P
90180 ACDAED , AED 906030 .
(iii) aAO , aAC , aBCCD 322 ,
aAD 13 . ADEABC ~ , 134
)13(2
2
2
ADEABC .
5.A=(1,0)B=(3,0)ABy = x P P P
[]
32
OBOAOP , 3OP .
45POA , )2
6,
2
6(P
6.
336
12
222
2
zyx
zyx
zxy
xyz =
[] zxyzxy = 962
336122
,
3
9612
zxyz
zxyzxy
zyx
,
zyx ,, 09612 323 zttt .z 09612 323 zzzz , 0z 8 .
0z
336
12
0
22
yx
yx
xy
, 8z , 512833 zxyz .
7. 1nna 21 nnn aaa n 3
50
1n
na =40
70
1n
na =50
101
1n
na
[]
3
321
21
)
nn
nnn
nnn
aa
aaa
aaa
, ,...,,,,,,, 21321321 aaaaaaaa
, 0.
402150
1
aaan
n , 5032
70
1
1321
aaaaaaan
n , 123 aaa ,
7/30/2019 2013TRML .pdf
3/3
101 a , 302 a , 203 a . 20321321101
1
aaaaaaan
n.
8.ABC P NAB CAMBC KPNAM
2
1
PB
AP 4
3
KM
Ak NC
AN
[] ANtAC . ACABAM2
1
2
1 , ANtAPAK
2
13
2
1
3
7 ;
NPK ,22
3
3
7 t ,
3
5t . .
2
3
NC
AN
9.33
253
253 a 27189
26 aaa
[] 332
53
2
53
a 33
2
53
2
533
2
53
a ( 33
2
53
2
53
)+
2
53
=3+ 34
)53)(53(3
a= a33 , 26 9189 aaa , aaa 189 26 =9
2718926
aaa 36279 .
10.[a] a[ 742 xx ]= 382 2 xx
[] 48274382 222 xxxxxx , 382 2 xx .
7282 x 8272 x .
82 x 382 2 xx ,
113)82(8)82(2 2 , 22282 .