2005
￡
!·°
TDn bê
ê?7<v0 1006 bvD ? S
L 1101 è 62781785
$?s
?B [±s 
? c?s￥?¨8 è5
?s?¨￥
?
±X
null ?sù5￥??
null 3 %?s?¨ù5￥
?
±
^
í
íMFE ?¨?s?lB?
b
sl |í
 ( )
ii
xfI?≈? ξ 
p |K
 
∫
∑ =?=
=
→
b
a
n
i
ii
dxxfxfI )()(lim
1
0
ξ
λ
±ísEYVs
?f
￥9
 p ±s￥ZEb
sl |±s ()dxxfdII =≈?
s p9
 )()()( aFbFdxxfI
b
a
==
∫
?s+Z
￥?¨

ü
u×￥

°?US"?
ü
u×￥

! )(),( xgxf  uW
 V
5 u×],[ ba
{})()(,),( xgyxfbxayxD ≤≤≤≤= 
￥
1 b[]
∫
=
b
a
dxxfxgA )()(
?  ? ? ?f
 u W
 M| 5 V
U?μ
 ￥}

μ
H?1}
b
)(xf ],[ ba
∫
=
b
a
dxxfA )(
è  p
2
2
x
y = D
2
3
+= xy ??￥

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L 1101 è 62781785
2005
￡
!·°
TDn bê
ê?7<v0 1006 bvD ? S
L 1101 è 62781785
3?
+=
=
2
3
2
2
xy
x
y
3¤?? 3,1 =?= ba b
3
16
22
3
3
1
2
=
+=
∫
dx
x
xA b
è  pdμè

P Da
2
xxy?= axy =
?> u×-
1
4
9
b
<3 >?
H10 << a
4
9
)(
1
0
2
=
∫
a
dxaxxx  0
2
3
1
3
<?=a 

?
H1≥a
4
9
)(
0
1
2
=
∫
a
dxaxxx 
3
2
3
1+=a 

?
Z?/ u×￥

! u×￥H?? wL
()
≤≤
=
=
βα t
tyy
txx
L
)(
)(
, ??
  ? ?? V ?


5 u×￥
1
)(),( tytx
0)( ≥ty
∫
′
=
β
α
dttxtyA )()( b
è  p?? 1
49
22
=+
yx
?￥ u×￥

33EB?B`K?s￥H?1
30,9
3
2
2
≤≤?= xxy

π
π
6cos249
3
2
4 2
0
21
0
2
==?=
∫∫
tdtdxxA b
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L 1101 è 62781785
2005
￡
!·°
TDn bê
ê?7<v0 1006 bvD ? S
L 1101 è 62781785
3E=?? 1
49
22
=+
yx
￥?
Z?1
4
0,sin2,cos3
π
≤≤== ttytx 
∫∫
==
0
2
3
0
)()(44
π
tdxtyydxA π
π
6)sin3(sin24
0
2
=?=
∫
dttt 
US"/ u×￥

! u× 1
D?ρ?ρ sin,cos == yx  
{})(0,),(?ρρβ?α ≤≤≤≤= yxD 
5 
1 ()
∫
=
β
α
ρ dA
2
2
1
b
è  p??L ( )0)cos1( >+= aar?
?￥

3 ()
∫∫
==
ππ

0
22
0
2
)(
2
1
drdrA 
2
2
0
42
0
42
2
3
cos8
2
cos4 atdtada π?
π
π
===
∫∫
èX? wL
xay = 
D wL0>a xy ln= ? )μ MLb),(
00
yx

pè
# M?-US′a

p

= wLD xà
?m?￥

<3 >
 ? 
00
2
1
2
1
xx
a = 
00
ln xxa = 3 ¤   M?1


1?
=ea
1,
2
e


1
dxxdxxaA
ee
∫∫
=
22
10
ln 
￡
!·° Iù
T? www.tsinghuatutor.com - 3 - bvD ? S
L 1101 è 62781785
2005
￡
!·°
TDn bê
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L 1101 è 62781785
2
1
2
1
3
2
22
= ee
2
1
6
1
2
= e b
è8￥8
 ? xàè
3?￥è8￥8
l?
E

ü
u×
{})(0,),( xfybxayxD ≤≤≤≤= ? àè
3?￥è8￥81x
 
∫
=
b
ax
dxxfV )(
2
π
 ? àè
3?￥è8￥8

CcE
ü
u×y
{})(0,),( xfybxayxD ≤≤≤≤= 
? àè
3?￥è8￥81 y
∫
=
b
ay
dxxfxV )(2 π
è  p? wL xyxy =?=,2
2
# à
1
ü
u× ?y xà# ? àè
3?￥è8￥8
y
3 []ππ
6
7
)2(
1
0
2
==
∫
dxxxV
x

() ππ
15
22220
22
1
0
2
==
∫
dxxxV
y

è 
!è
°L D
tL
??m? ￥
1 
e
ì
D°L
??￥m?
1 b
1<a axy =
2
xy =
1
S
1=x
2
S

 
k ?? ￥′
P r?Kli pKl′ a
21
SS +

  p?Kl′
?￥m? ? xàèB?
3?è8￥8b
<3>
 dxxaxA
a
∫
=
0
2
1
)(
3
6
1
a 
31 2
2
6
1
23
1
)( a
a
dxaxxA
a
+?=?=
∫

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!·° Iù
T? www.tsinghuatutor.com - 4 - bvD ? S
L 1101 è 62781785
2005
￡
!·°
TDn bê
ê?7<v0 1006 bvD ? S
L 1101 è 62781785
3
1
2
1
3
1
3
21
+?=+ aaAA

?
2
1
=a
H |?Kl′
6
2
3
1
)
2
1
(?=A b

¨l?
E

∫∫

1222
0
222
2
2
2
2
])
2
()[(])()
2
[( dx
x
xdxx
x
ππ
π
30
12 +
= b
è  p wL )62(,ln ≤≤= xxy
￥BH ML
P? MLD °L
??
ü
m?
Klb6,2 == xx
<3>
! M?1 5 MLZ?1
0
x
00
0
ln)(
1
xxx
x
y +?= ? MLD°L
6,2 == xx
??
ü
m?
1
dxx
x
x
)1ln(
0
6
2
0
+
∫
)1(ln4
16
0
0
+= x
x

?
H
Klb ML14
0
=x 4ln1
4
1
+?= xy b
è V? T wL)0,1( 2?= xy ￥ M L? ML D

w L# xà?? B
ü
m
? Ab

 p A￥
 

 p ?A xàèB?
?è88b
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T? www.tsinghuatutor.com - 5 - bvD ? S
L 1101 è 62781785
2005
￡
!·°
TDn bê
ê?7<v0 1006 bvD ? S
L 1101 è 62781785

3 

! M ?US1 5 N?￥ M L|
q1),(
00
yx
22
1
0
0
=
′
=
x
y
xx

N?￥ MLZ?1
2)(
22
1
00
0
+?
= xxx
x
y 
ü? } ?

T¤ )0,1( 3
0
=x
MLZ?1 )1(
2
1
= xy 
5
3
1
)]12()2[(
1
0
2
=+?+=
∫
dyyyA 

 dxxdxxV
x
23
2
23
1
)2()]1(
2
1
[
∫∫
= ππ 
πππ
6
1
2
1
3
2
=?= 
;á wL￥é
°?US"?￥;á wL bxaxfy ≤≤= ),( ￥é1
￡
!·° Iù
T? www.tsinghuatutor.com - 6 - bvD ? S
L 1101 è 62781785
2005
￡
!·°
TDn bê
ê?7<v0 1006 bvD ? S
L 1101 è 62781785
[]
∫
′
+=
b
a
dxxfl
2
)(1 b
?
Z?/
βα ≤≤== ttyytxx ),(),( ￥é1
[][]
∫
′
++
′
=
β
α
dttytxl
22
)()( b
US"/;á wL
() β?α?ρρ ≤≤=,￥é1
() []
∫
′
++=
β
α
ρ?ρ dl
2
2
)( b
è p??L
()0)cos1( >+= aar? ￥é
3 ( ) ( )
∫
++=
π

2
0
22
sincos1 dal
∫
+=
π
π
da cos22 
 atdtada 8cos8
2
cos22 2
00
===
∫∫
π
π
b
è8￥§

°? US" ? wL bxaxfy ≤≤= ),( ? à è
3?￥ è8￥§

1
x
[]
∫
′
+=
b
a
dxxfxfA
2
)(1)(2π b
?
Z?/ wL
βα ≤≤== ttyytxx ),(),( ? àè
3?￥è8￥§
1x
[ ] [ ]
∫
′
++
′
=
β
α
π dttytxtyA
22
)()()(2 b
￡
!·° Iù
T? www.tsinghuatutor.com - 7 - bvD ? S
L 1101 è 62781785
2005
￡
!·°
TDn bê
ê?7<v0 1006 bvD ? S
L 1101 è 62781785
è 
!μ w
L 1?= xy

Ve?T  M
L
 pN wL

ML# xà1?
￥
ü
u× ? x
àè B?
¤ ?￥è8 V

3 V[ p ¤ ML1 xy
2
1
=

M?1 ()1,2
è8V
?
?sF?
? wL ? xàèB?

¤?￥è8V
1
∫
′
+=
2
1
2
1
12 dxyyA π 
? ML ? xàèB?
¤?￥è8V
1
ππ 5
2
5
2
1
2
2
02
==
∫
dxxA 
( )155
6
34
2
1
=?=
∫
π
π dxx 
[è8V

( )1511
6
21
=+=
π
AAA b
è 
!?èL￥Z?1
>≤≤
=
=
)0,20(
)cos1(
)sin(
at
tay
ttax
π 

 p
? àèB?
3?￥8D§
 x
￡
!·° Iù
T? www.tsinghuatutor.com - 8 - bvD ? S
L 1101 è 62781785
2005
￡
!·°
TDn bê
ê?7<v0 1006 bvD ? S
L 1101 è 62781785

 p
? àèB?
3?￥8D§
by
3 
81
∫

π
π
2
0
22
)cos1()cos1( dttata
∫
+?=
π
π
2
0
323
)coscos3cos31( dtttta 

32
5 aπ b
§
1
∫
+
π
π
0
22
)'()'(2 dtyxy 
∫
+=
π
π
0
22
)'()'(2 dtyxy 
" dt
t
a
∫
π
π
2
0
3
2
sin8 
)
2
(cos)
2
cos1(16
2
0
2
t
d
t
a
∫
=
π
π 
2
3
64
aπ 

 ? àè8D§
sY1y
8
∫
π
π
2
0
22
sin)sin( tdtatta 
33
6 aπ 
§

∫
+
π
π
0
22
)'()'(2 dtyxx 

∫

π
π
0
cos22)sin(2 dtttta 
22
16 aπ 

?s￥t ??¨

ü
m?￥??
! )(),( xgxf  uW
 V
5
ü
m?],[ ba
{})()(,),( xgyxfbxayxD ≤≤≤≤= ￥??1
[]
∫
∫
=
b
a
b
a
dxxfxg
dxxfxgx
x
)()(
)()(
[ ]
[]
∫
∫
=
b
a
b
a
dxxfxg
dxxfxg
y
)()(
)()(
2
1
22

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L 1101 è 62781785
2005
￡
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L 1101 è 62781785
è  p??1 R￥??e￥??
3
!??e￥??e?
???

0=x  R
R
dxxR
y
R
R
π
π
3
4
2
1
)(
2
1
2
22
=
=
∫

è L
! u× ? wLD
)0,0(
3
>>= Pypxy # V? ￥ ML),1( p
D xà??
!N u×￥??1 ),( YX 
 p X ￥′ 

 p ￥′
P ? ZàèB?7
3?￥è881p D π
135
7
=
y
V b
<3>
 ppxy
x
x
33
1
2
1
==
′
=
=

ML1 b)1(3?+= xppy
D à??1x )0,
3
2
(

ppdxpxA
12
1
6
1
1
0
3
=?=
∫

xdxxppdxxpxM
y
])1(3[
1
3
2
1
0
3
∫∫
+= 
dxpxpxp
∫
=
1
3
2
2
)23(
5
1

ppp
135
7
)
9
4
1
27
8
1(
5
1
=+= 
45
28
135
84
==X b
￡
!·° Iù
T? www.tsinghuatutor.com - 10 - bvD ? S
L 1101 è 62781785
2005
￡
!·°
TDn bê
ê?7<v0 1006 bvD ? S
L 1101 è 62781785

 dy
p
y
ppV
p
y
∫
=
0
3
2
3
2
21
]2)
3
2
(31[
3
1
ππ 
dy
p
y
pp
p
∫
=
0
3
2
3
2
21
]2)
3
2
(31[
3
1
ππ 
1[
3
1
π=
7
135
14
?9á? ?¤?
V
a ?ù5
]B
'￥òZ_￥a <M?
l±í￥a ?±í1
? h1?l±í ?A
￥ú

è |
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￡
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T?

ppp
5
3
]2)
3
2
(3
21
π
pπ
135
14
= 
ππ
135
7
=p ¤?
2
1
=p b
pXA
y
12
1
135
84
22?== ππ
2
1
,
135
7
135
14
=== pp ππ b
dAghdp?= 
g1× ?F
 1?l±í￥
s V¤a ?dA
???
üeC
ê<°b ?
￡?
° ?D
￡
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×
￡￥
á 1' 
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www.tsinghuatutor.com - 11 - bvD ? S
L 1101 è 62781785
2005
￡
!·°
TDn bê
ê?7<v0 1006 bvD ? S
L 1101 è 62781785
3[
￡
ü
1 à
<°_/1 ày ?US"
y x
dxxRxdp
22
2?=
 ? 1??R
a ?
3
0
22
3
2
2 RdxxRxp
R
=?=
∫

? ?ù5
è μBé1 aé
 (
s ? a9é
 1L M ￥%?
 ?
 ￥ °L

 ? B
M 1 ￥
O
a P)bμBé
1 ￥é?
 p?é?￥? ?m

3 |?￥±í
  []dxxx +,P ?￥? ?±í1
dx
L
M
xal
m
gdF?
+
=
2
)(

O
L
P
?é?￥? ?
)()(
0
2
ala
gmM
dx
L
M
xal
m
gF
L
+
=?
+
=
∫

M ?T?
?1o
￥Vr

?áT?￥ ?

?áT?￥μr
^?
è | B ? ? 1 ￥ ? o a ?

!
￡￥
á1 

R
3
ü
wL1
2
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￡
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T? www.tsinghuatutor.co
￡ ?

P o8 Dz

22
) R=
m - 12 -
D
￡
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M M
 p X?
￡￥ ? ? T ￥ ?
bvD ? S
L 1101 è 62781785
2005
￡
!·°
TDn bê
ê?7<v0 1006 bvD ? S
L 1101 è 62781785

2R
y
O
|¨1 ￥
￡
ü

 
s
￡￥? ?±í1
?áy? dyxdF
2
π=
T?￥μr??1 yN?￥±í
í?1)2( yR?
dyyRxdW )2(
2
=π 

T?1
[]
42
0
22
3
4
)2()( RdyyRRyRW
R
ππ ==
∫

à
ü b
è B??27ú N
Z 7 g°?1
N
2
ú1 N2￥
á1 LH
ù|7
=￥2 ??à7?3T
?b
3
m
3y ?US ?m?§
L1  àZ_|?sé?l?
xy 2= y









8±í1
￡
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L 1101 è 62781785
2005
￡
!·°
TDn bê
ê?7<v0 1006 bvD ? S
L 1101 è 62781785
dyydv
2
2
π
= 
é
±í1 dy
y
dm
2
2
480
= π 
?áT?￥μr??1
ü)10( y?
yN?￥±í
í?1
dy
y
ydw
2
4
)10(480 π?= 
T?1
dy
y
yw
∫
=
8
0
2
4
)10(480 π 
)(8192)10(120
8
0
32
kgmdyyy ππ =?=
∫
b


?s8ù5
è  p? Dxyx 2
22
≤+ xy ≥ ??
ü
m? ?° L 2=x è7? ￥ è8
8 V b
3 
ZEE 
: yxyx ==
2
2
1
,11 
=
=
=
=+
1
1
2
22
y
x
xy
xyx
dyxxdv ])2()2([
2
2
2
1
= ππ
dyyy ])2()11[(
222
+=π 

∫
=
1
0
dvV π
π
π
3
2
2
])2()11[(
1
0
2
222
=+=
∫
dyyy 

ZE ,
2
21
2,xxyxy?== 
￡
!·° Iù
T? www.tsinghuatutor.com - 14 - bvD ? S
L 1101 è 62781785
2005
￡
!·°
TDn bê
ê?7<v0 1006 bvD ? S
L 1101 è 62781785
dxyyxdv ))(2(2
12
= π dxxxxx )2)(2(2
2
= π
π
π
π
3
2
2
)2)(2(2
1
0
2
21
0
===
∫∫
dxxxxxdvV è

! )(xf 
 ??dμ O??9F],[ ba ),( YX 1
u× bxaRyxD ≤≤∈= |),{(
2
)}(0 xfy ≤≤ ￥??￡
ü
2
ba
x
+
≥ b
}
±
^~'51￡
2)(
)(
ba
dxxf
dxxxf
X
b
a
b
a
+
≥=
∫
∫
'￡
0)(
2
)(
≥
+
=
∫∫
dxxf
ba
dxxxfI
b
a
b
a


| b
j1M
? ?M
K￥s )(xF ￡
ü 0)( ≥xF 
?L
^
ZE  |=?si1B?s|? ?s?
2
ba+

üs·s1
? uW
￥s ?¨ ???s9?μ|)(xf
??
ZE  ?¨s?′? ?sé?9L??
ZE b
}￡~
ZE 
7 dttf
xa
dtttfxF
x
a
x
a
)(
2
)()(
∫∫
+
= 
5 0)( =aF 
7
dttfxf
xa
xxfxF
x
a
)(
2
1
)(
2
)()(
∫
+
=
′


))((
2
1
)()(
2
1
axfxfax= ξ
￡
!·° Iù
T? www.tsinghuatutor.com - 15 - bvD ? S
L 1101 è 62781785
2005
￡
!·°
TDn bê
ê?7<v0 1006 bvD ? S
L 1101 è 62781785
())()()(
2
1
ξfxfax= 
? ),( xa∈ξ ? )(xf ??9F y 7 0)( >xF 
7 bx = 5??
T 
? ?b
 
ZE  I
n

T?￥sia¤?
dxxf
ba
xI
b
a
)(
2
+
=
∫
dxxf
ba
x
ba
a
)(
2
2
+
=
∫
+

dxxf
ba
x
b
ba
)(
2
2
+
+
∫
+
|

?|·
?B?s:1 
1
I )(xf ??9F5
+
≤≤
2
)(0
ba
fxf  0
2
<
+
ba
x 
?s￥ ??
?i$f
1μ yN
dx
ba
f
ba
xI
ba
a
+
+
≥
∫
+
22
2
1
 
 I
n -
?|·
?￥?
=?s
:1 ?i
2
I
+
≥
2
)(
ba
fxf 
0
2
>
+
ba
x ? ???μ
dx
ba
f
ba
xI
a
ba
+
+
≥
∫
+
22
2
2


|]_??
T

MF5μ
0
22
21
+
+
≥+=
∫
x
ba
fIII
b
a
=
dx
ba

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!·° Iù
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L 1101 è 62781785
2005
￡
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ê?7<v0 1006 bvD ? S
L 1101 è 62781785


?
^??
T
¤￡b
 
ZE   
ZE  ? ￥ D ? i ?
1
I
2
I
2
ba
x
+

?  s|
=s Y  ??
|7 )(xf ???s?′? ?5μ
 )()(
8
1
2
)(
1
2
2
11
ξξ fabdx
ba
xfI
ba
a
=
+
=
∫
+
)()(
8
1
2
)(
2
2
2
22
ξξ fabdx
ba
xfI
b
ba
=
+
=
∫
+
?
+
2
,
1
ba
aξ 
+
∈ b
ba
,
2
2
ξ 
'μ
12
ξξ > 
? )(xf ￥???5μ
)()(
12
ξξ ff ≥ ?
^
0))()(()(
8
1
12
2
21
≥=+= ξξ ffabIII 
è 
! 0>k
 D
2
kxy =
≤≤=
2
0sin
π
xxy 

<<=
2
0
π
ttx )M ?
,1 D
1
S
2
kxy = xy sin= ? ?￥￥


1
2
S
tyxy sin,sin == D
2
π
=x ??￥

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L 1101 è 62781785
2005
￡
!·°
TDn bê
ê?7<v0 1006 bvD ? S
L 1101 è 62781785
￡
ü 
21
)( SStS +=
2
,0
π
=Aμ·BKl′
￡
ü  w L D
2
kxy = xy sin=  ( )tt sin,)M?
2
sin ktt = 
2
sin
t
t
k = 








dx
t
t
xS
t
sin
sin
0
2
2
1
=
∫
tttdxtxS
t
sin
2
cos)sin(sin2
2
=?=
∫
π
π
tttS sin
23
2
1)(
+=
π

2
,0
π
 ??
 O

ππ
￡
!·° Iù
T?
0
6
1
2
,1)0( >?=
= SS 
tttttS cos
3
2
cos
2
sin
3
2
)( +?=
′
π

0
3
2
2
,0
2
)0( >=
′
<?=
′
ππ
SS 
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L 1101 è 62781785
2005
￡
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??
,?￥i? V?
,
2
,0
0
∈?
π
t
P 0)(
0
=
′
tS 
∈>
+=
′′
2
,0,0sin
3
2
2
cos
3
4
)(
ππ
tttttS )(tS
′
??
9
yN 1·B￥Kl′?b
0
t
è 
! )(xS ??
∫
=
x
dttxS
0
cos)(


? 1??
H
 On ππ )1( +≤≤ nxn
H
￡
ü
)1(2)(2 +≤≤ nxSn 

 p
x
xS
x
)(
lim
+∞→

<3>
 0cos ≥x ? ππ )1( +≤≤ nxn
H )(xS 19f

[

∫
πn
dtt
0
cos
∫
+
<≤
π)1(
0
cos)(
n
dttxS 
?i? xcos [ π1?
ù
∫
πn
dtt
0
cos ndttn 2cos
0
==
∫
π

∫
+ π)1(
0
cos
n
dtt )1(2cos)1(
0
+=+=
∫
ndttn
π
?
^¤?
)1()(2 +≤≤ nxSn b

? ππ )1( +≤≤ nxn
H
ππ n
n
x
xS
n
n )1(2)(
)1(
2 +
≤≤
+

7 ?C/5¤?∞→n
π
2)(
lim =
+∞→
x
xS
x
b
è 
! )(xf 
 ?? 
= V? O[]ba,),( ba 0)( >
′
xf 
k￡
ü 
=i),( ba
￡
!·° Iù
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L 1101 è 62781785
2005
￡
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TDn bê
ê?7<v0 1006 bvD ? S
L 1101 è 62781785
B? ξ
P wL )(xfy = D )(ξfy =  ax =
??￥m ?

^? w
L
1
S
)(xfy = D )(ξfy =  bx =
??
ü
m? ￥ 
2
S
<3>
= |B? t5),( ba
∫
==
t
a
dxxftftSS ))()(()(
11


∫
==
b
t
dxtfxftSS ))()(()(
22
7 =?=
∫
t
a
dxxftftStStF ))()(()(3)()(
21
 
∫
b
t
dxtfxf ))()((3
5o?￡
ü )(tF  μ O?μB?
,?
),( ba
),,( ba∈ξ
P¤ 0)( =ξF b
?i?? 0)( >
′
xf ?
^ )(tf 
=??9F?s′? ? V¤),( ba
0)( <aF  O b
[ 
=à
μB?
,?b
0))()(()( >?=
∫
b
a
dxxfbfbF )(tF ),( ba
6? 0)( >
′
xf  I3 )(tF 
=￥???b),( ba
′
+=
′
)()()()( tfattftF 
)()(3)()(3)( tftbxftbtf?+ 
 )]()()[(3)()( xftftbtfat+
′
= 
0)()(3)()( >
′
+
′
= ξftbtfat 
? ),( xt∈ξ b?
^ )(tF 
=??9FKμB?
,?b),( ba
8

s
[ )(tF  μB?
,?),( ba ),,( ba∈ξ
P¤ 0)( =ξF b
è  p w L
)62(,ln ≤≤= xxy ￥B H ML
P? ML D° L
#6,2 == xx
N wL
?
ü
m?￥
Klb
3 wL xy ln=  )￥ MLZ?1)ln,(
00
xx
)(
1
ln
0
0
0
xx
x
xy?+= 
￡
!·° Iù
T? www.tsinghuatutor.com - 20 - bvD ? S
L 1101 è 62781785
2005
￡
!·°
TDn bê
ê?7<v0 1006 bvD ? S
L 1101 è 62781785
wL xy ln=  )￥ MLD°L)ln,(
00
xx 6,2 == xx #N wL
?
ü
m?￥
1
∫
+=
6
20
0
00
]ln)(
1
[ln)( dxxxx
x
xxS 
2ln26ln6
16
ln4
0
0
+?+=
x
x 
? ¤ b?μ0)(
0
=
′
xS 4
0
=x
,2ln26ln6
3
8
6ln4)6(
,2ln26ln642ln8)4(
,2ln26ln682ln4)2(
+?+=
+?+=
+?+=
S
S
S

[ )4(S Kl#
p MLZ?1 )4(
4
1
4ln?+= xy 
è 
! μ ???Ce
°?H1
l
| 
°b ?
￡?
PB°?D
￡
×
6B ° ?
H<° _/ ù
 °? H? 1 è
H ? ?? Ce?
s
￡ a ?K v$ 
!
￡￥
á1  p  N
Kva ?








3 [ <° _/°?H ??1US e?<° _
Z_1 yà yx?
ü
D ??e

ü
M
ü?y ?US"
i
!
￡
ü° ?HD<° _/°?H ￥HésY 1 D 5μ
|H
°LZ?1
a ka
lkaa =+ kxy = 
￡
!·° Iù
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2005
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L 1101 è 62781785








,)(kP 1 C e?
s ￥
￡ a
? |_ sé xdyV
U

yka? 1
￡
'
5μ±s1"
 dxxaxkdyykaxkdP )()()(
22
=?=
?
^
3
3232
0
22
)1(66
)()(
+
==?=
∫
k
lkak
dxxaxkkP
a
4
32
)1(6
)2(
)(
+
=
′
k
lkk
kP 
3¤? 2=k  O )(kP
′
?
5
M| 5?aμ
yNKva ?1
81
2
)2(
3
l
P = b
￡
!·° Iù
T? www.tsinghuatutor.com - 22 - bvD ? S
L 1101 è 62781785