1、1998 M S V 3 dB I k B k5W# BaA b5 120112limxxxx+ = . s 14 . W 1 5 |s0eN kly0 ()( )22022022011 4lim11221 1lim4112lim .24xxxxxxxxxxxx+ =+ += Ty221112x x W 2 ArE5 20000111121 21lim lim24111lim411121 21lim .44xxxxx xxxxxxxxxxx + = +=+ = T ()2110xx V p W 3 ()1 u+ X Z 7 TN H v e . 0u H ()( )()22111 ,2!uu
2、uou+=+ + 0x H ()()22221111 ,281111 ,28x xxoxx xxox+=+ + += + +考研数学助手您考研的忠实伴侣 ()()2222022011 1128 28lim1lim414xxxx xxoxxoxx+ + + =+= T2 ! () ( )1,zfxyyxyfx =+ = 52zx y= . s () ( ) ( ) yf xy x y y x y+ +. W () () ( )() ()()() ()()() ()22 1,11zyfxy f xy y x yxx xzf xy fxyyfxy xyyxyxy x xyf xy x y y x y
3、= + + += + + + + + +=+3 ! l221,43xy+ = : ,a 5( )22234lxyx yds+ +=v. s 12 .a W lZ221,43xy+=223412xy+ = ()( )22234 212 2 1212,lllxyx yds xy ds xyds a a+ = + = +=vvvBs l1 x7 xy1 y f lxydsv“ 0. 4 ! A n *0,A A A E n . A+ , 5()2*AE+ A+ . s 21A+. W ! ()0,Ax x x=5 ()111,0AAx x AAx xx= = *,AAx x= V7 ()22*,AA
4、x x=()22*1, 0,AAEx xx+= + Vn ()2*AE+ A+ 21A+5 ! u D wL1yx= #L20, 1,yxxe= = = M (),X Y u D V ( s5(),X Y 1 X H q 2x = ) . s 14. W u D 22111 112.eexDSddydxx= (),X Y q ()()1,20, x yDfxy= 1 xH q () ()12011,1220, xXXdy x efx fxdyx+= = # ()124Xf . =a45 1 ! ()f x 5()220xdtf x t dtdx A()2xfx (B)()2xfx C( )22
5、xfx D()22xfx s A . W TM 22uxt=5 () () ()()()2202200221122122xxxdd dtf x t dt f u du f u dudx dx dxfx xxf x= = 2f ()()232f xxx xx= V A 3. B 2. C 1. D 0. s B . W y () ()( )( ) ( )( )2322111,fx x x x x x x xx x= = + + Vn()f x 0,1x = ) V7 1x = ) V # ()f x V 2. 3Xf ( )yyx= i x)9 2,1yxyx= + O 0x+ H x+ kl
6、()0y = 5 ()1y A 2 . B . C4e. D4e s D . W 2,1yxyx=+ 2.1yyx xx=+7 0x+ 21yyx=+ NsZi SHq()0,y = arctan xye= # ()arctan41.xye e = 4 ! 111222333abcabcabc 5L33312 12 12x aybzcaa bb cc = L 1112 3 23 23x aybzcaa bbcc=AMB . B . C . Cs . s A . W ! 111222333abcabcabc YVM 1 2 12 122 32323333aa bbccaabbccabc LZ_
7、1 1 21 21 22232323,SaabbccSaaaacc= = L1 VnN L; . ( )111,abca( )333,abcsY L L_ : 1313131,Saabbcc= , 312SSS= + . Vn _ 123,SSS yN12,SSAM L M . 5 ! ABa Yq O() () ( )()01,0,| |PA PB PBA PBA = ,5A A()( )|PAB PAB= (B) ()( )|PAB PAB (C)( ) ()()PAB PAPB= . (D) ( ) ( )()PAB PAPB . s C . W Hq q T#Hq ()( )|PBA
8、PBA= ()()( )()PABPABPA PA= () () ()( )() () ( )1PAB PA PAPAB PA PB PAB= = Vn ( ) ()()PAB PAPB= #C . a pL11:11 1x yzl= :210xy z += gL0l Zi p0l yB w Z . W 1 VL lTB _ ()( )()42 242,2Axy xyx y i x x y j=+=f (),uxy0i p ( ),uxy. W 7 ()()() ( )42 242,2 , ,Pxy xyx y Qxy x x y =+ =+ 5 ! QPx y = ()()42410.xx
9、y+ += Vn O 1 = H _ H0 0x = |B 1 ()1, 0Ts 5 s 1 ()24410220,0arctan .xyxxuxy dx CyyCx=+= + C i . a V/ _Zb N 1 p N / y VZ / vWf 1“ . !N T/VZ 7 S #/V sE T . !N ,m 8 ,B Z 1 , N sE / 11 “ ( )0kk . ky y v sZi pf1“ T().yyv= W |b ,OOy_ #_/5 d= p 22,dymmgBkvdt= V=sZ dyvdt= . 7 ,dyvdt= 5 22,d y dv dy dvvdt dy
10、dt dy= Z V ,dvmv mg B kvdy= s M ,mvdy dvmg B kv=s ( )()2lnmmg Bmyv mgBkvCkk= + SHq00,|yv= ()()2ln ,mmg BCmgBkvk= # pf 1“ ()2ln .mmg BgBkvyvkk m= Ba 9 ()()212222,axdydz z a dxdyxyz+ / o 222zaxy= av , . W 1 FB u T9 ()()()22122221.axdydz z a dxdyI axdydz z a dxdyaxyz+=+ B v_ 2221:0x yaz += z_B () ()()(
11、 )112222244204003132122122.2DaarI axdydz z a dxdy axdydz z a dxdyaaa z dV a dxdyaa zdV aaadrdzdaa+ =+= + += += = wW 2 s v9 ()()()()221222221211.axdydz z a dxdyI axdydz z a dxdyaxyzxdydz z a dxdy I Ia+=+=+=+ 22212,DyzI xdydz a x y dydz= yzD yOz 22 2,0.yzaz+ US ()( )222 31022222222.311,xyaDI dardr aIz
12、adxyaa a x y dxdya = =+=xyD xOy 22x ya+b US ( )22222 3200122 ,6aI daaarrrdaa=# 312.2I II a=+= a p2sin sinsinlim .1112nnnnnnn+“ W sin sin sin,1,2,3,.1iiinnnininnnn 5) ()11nnna=l . ) na h 11,nnnaa+711,1a71,1nnnba=+5 11lim lim 1,11nnnnbaa = 10x kB . W 1 7 () ()1,xx xftdt =5 ( )x uW 0,1 7 uW ()0,1 = V (
13、) ()010.=: i ( )00,1 ,x P ( )00.x = () () ()010000.xxxfx ftdt = =9 () ()0100.xx fx fxdx=2 7 () () ()1,xF xxfx ftdt=5 () () () () ( ) ( ) 20,Fxxfxfxfx fxxfx=+= ()F x ()0,1 =9FV7 ( ) 0Fx= 0x x= AB#10x kB . Ea X=Q w Z2222224,xayz bxyxz yz+ += VVM xyPz = Z2244,+= p ,ab .P W 5 ! 111111bAba=000010004B = M
14、 EA EB= 1100101011 100 4bba = 3, 1ab=. N H111131111A=+ 1230, 1, 4. = = ()00,EAx= +10 = +_ ()11, 0, 1T = . ()0,EAx= +21 = +_ ()21, 1,1T = . ()40,EAx= +34 = +_ ()11, 2,1T = . |123, 31211 111 121,0, , , , , , ,2 2 3 33 666TTT = = = 7 11123612036111236P= p . EBa ! A n i ,k PLZF 0kA = _ , O10kA _ F1,kAA
15、“ L1 . W ! 01 1, , ,k “ P 101 10,kkAA + =“ 5 ()1101 10,kkkAAA + =“ V7 100.kA= 5 !10kAx 00. = V 12 10,k = =“ yN_ F1,kAA “ L1 . E=a XLZF I11 1 12 2 1,2 221 1 22 2 2,2 211 2 2 ,2 2000nnnnnn nnax ax a xax ax a xax ax a x+ =+ =+ =“B$“( ) ( ) ( )11 12 1,2 21 22 2,2 1 2 ,2, , , , , ,TT Tnnnnbb b bb b bb b“
16、 kLZF II11 1 12 2 1,2 221 1 22 2 2,2 211 2 2 ,2 2000nnnnnn nnbx bx b xbx bx b xbx bx b x+ =+ =+ =“Yi . W IIY ()()( )1 11 12 1,2 2 21 22 2,2 1 2 ,2, , , ,TT Tnnnnycaa a caa a caa a=+ +“ 12, ,ncc c“ i . ZFI aII“ sY: ,AB55 ! V ,TAB O= ()TTTBAAB O=, Vn A n_ II n_ . B ,n #II bW ( )22.nrB nnn = A 2nIbW ,n
17、 # A n_ L1V7 _ IIB$“ II Y . E a ! M ,X Y M OV ( 0Z12 s p M X Y Z . W 7 Z XY= ,X Y M OV syN Z 9V sO() () () () ( ) ( )0, 1,EZ EX EY DZ DX DY= =+= ( )0,1ZXYN= ( )( )() ()22222221DX Y D Z EZ EZ EZ EZDZ EZ EZEZ= = = =+ = 7 22012 222zzE Z z e dz ze dz+ += = =# 21.DX Y= E a V 98()23, 4, 6N | n “ T1 p “ (
18、uW()1.4,5.4 = ql 0.95“ n |v$ VS sV ()2212tzzed=z 1.28 1.645 1.96 2.33 ()z 0.900 0.950 0.975 0.990 W X V U“ (5 ()3.40,16XNn V7 1.4 5.4 2 3.4 23.423.4 2 2 1 0.95,663PX PXXnnPX P n = = = # 0.975,3nN 1.963n ()21.96 3 34.57,n n | 35. Ea ! Q I k 3V sV | 36 I 3 ( 66.5 sS 15 sA 0.05 / V Q I k 8 I 3 ( 70s$i_V . V tsV ( ) ( ) pPtn t n p = ()ptn P n 0.95 0.975 35 1.6896 2.0301 36 .6883 2.0281W !Q I k I 3 ,X( )2,XN V X | n“ (: ,X “S ,S 55 A 0.05 = /_L ! 01: 70, : 70,HH = ()12701.Xtntns= ()0.97536, 66.5, 15, 36 1 2.0301,nX st= = = 66.5 7036 1.4 2.030115t= sL !0:70H = A 0.05/ V Q I k 8 I 3 ( 70s .
