合工大最后五套卷(pdf精确排版)-with-numbers

t

X

(C) --t(9) CD) ~~F 0,9)

3Y Y

=, tl~1I:9"'-'14 /J\II••/J\1I4 #. :It 24 #. iI~~IU~]a:~IIIU~lEilL.J:.. (9) ~n7iJlE~f£, JJlU S;xlsin.xi dr =____

X -1 < x::::: 0

(10) ~ f£ f(x) = { ' 2 ' JJlU f(x) IN l;J 2 7iJ

l+x, 0< x::::: 1,

(2) ~z=z(x,y) EEr::lJfll.l2f+Y-z-=OfJTlifIlJEIN~P1§f£, L~.tLl2lIf+Y=l, IOC :l2!1l'HLJniU, JJlUIit~;fJt7tf}2xz+ y)dr+(f +x+ yz)dy=___

It, A2 ~ (I3) A7iJ=1ffr1JIl$, JAE-Aj A3 +3A+2, 1t,,~,~7iJAEt'~t'ttN11LJJlU ~ It, A2 = __.

~ ~ It,

(16) (::$:JmWJi7t to 7t ) .1(1) = 1,

1C

(I) iiEa)j~x>lllj, l

n-tCO

4

M: iJP¥[IDI1I¥Jtt:rnJi!:A n={I,I,l} , r

s {-sin I, cos I, I}. IZ5lAtJJ~'¥-----. 1C

1TTI1, J7Tl:J,n s, n·s=O, E!P-sin/+cos/+l 0, sin(/-=Ji , M~/= 1C ~I 1C. Mlr

422 I1-'ftfl¥JtJ]~fl2 ~.

(4) ~~: Jzt (A).

M: y" -2.1+Y 0 l¥J*filE7Jf¥A? 2r+1 0, M~'i '2 = 1, Jift GJ. y" -2y' + y 3xe"HS*f Mm~~~j;J(ca+b)~e", y 2y+y=sinxl¥J~M%AJJAcosx+Bsinx. EI3~tmJ]UI;;nJ~ (A).

(5) : Jzt (C).

xt·:rCA), ynJltil u1 =(1, 0, 0), = (2,0,0), u 3 =(0, 0,2), u 4 =(0,0,3), Y1U u1 +u 3 =(1,0,2) •

u

2

JJ xdcr = JJ xdcr JJ xdcr D D+L\ L\

······27)­(II) Pz,(z) = P{Z5. z} =p{lx-0.515. z},

z< 0/J1. Pz,(z) = 0;

05. z< 0.5/J1. Pz,(z) =P{0.5 -z5. X 5. 0.5 + z} =z;

0.55. z< 1.5/J1, Pz,(z)=P{0.5-z5.X5.1} 0.25+0.5z;

z~1.5/J1, Pz,(z) = 1 ;

I, 05. z < 0.5,

Jiffl?), ZE!91t1tiII~;;/i] fz(z) =Pz,' (z) = 0.5, 0,55. z< 1.5, ······67)­

{

0,

15. X 5. 0.5,

(lID EST y={O, 15. X 5. 0.5, Z =IX-0.51, Pfil?), U == JZ == { 0,

1, 0.5 < X 5. I, X -0.5, 0.5 < X5. I, u

05. u < 0.5 a1, F;(u) =P{U5. u} =P{JZ5. u} P{X5.u+0.5} =0.75+0.5u,

(E;lG:it F;(u) == P{U5. u} = pry== O}P{JZ 5. ulY= O} + pry= I}P{JZ5. ulY=I}

=0.75P{0· Z 5. ul O} + 0.25P{Z5. u/ Y =I}

= 0.75+0.25P{lx-0.515. ~0.5 < X5. I} == 0.75+0.5u)

u ~ 0.5/J1, F;(u) =1 ;

0, U

F;(u) == 0.75 + 0.5u, 05. u< 0.5,

{

1,

2'

1 x~O+-.

2

1

0, x

P{X=l,Y=I}=P{X=l,Y=-I} , !J!iJX

(7) i)ZM[;fJl3E:I: X -~ ~ , Y -~

~Y ( ).

(12) :if L JJ:b:f.I21lJj'iJ: .c + y = If (x~ 0), P!IJ LI;1ds= ___.

(13) lltJli,*A=r~ ~ ~J f§ft;JTX1m~EI$, !J!~~~a=___

\ 0 0 1

.=:. ....Jrll: 15--23 'Nil, ~94~. il~.Jr~~JrBtlFalEi!I• ..t.•Jre~I:I:iJt*m~..i.iE~f1 ~•.

(15)(.*~~7} 10%)1)tt%~j'(x)ftx=0 8'cJ~-~~~~fr=~fI~~,lUim[l+x+j'(X)]~ t?,

x-+o X

((0),1'(0),1"(0) lk lim[1 + j'(x)]~ .

• • • .1:-+0 X