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<f(x)<l+ ; ( IT) iiEAjj limf(n) fftE.
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<O/J1, F;(u) =0;
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<O,
F;(u) == 0.75 + 0.5u, 05. u< 0.5,
{
1,
2'
1 x~O+-.
2
1
0, x<O-­······2 *
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
(16) (*!lij~51-
10 7t) W:EEJ~.f(x) (:f[O,l] J::tt~~, tE (0,1) 1*J=I*rl}!iT, llf'(x) > 0, XE (0,1) .
( I ) ilE!lJlmf1:fJ@:i¥J1E~~ n, :ff .f(_I_)+f(_I_)(x-_I
_) $;.f(x) $;.f(0) +[.1(1)-.f(O)]x,
n+1
n+1
n+1
-1 1
(1;,k 2 f-J1:f;~~~). ~B= (al'a Z ,a 3)
,
~i\:1<
1
[-1 -1
J
+Aj
1 2 0
1
+k2
(21) <:*l'!1IIl:5} 11 ?l-) 19' A 11 3!lit '3:""'liE,,. 'Ii Hfr iBl::liEWf
g. {lf g'"A g
~ llAa=a, Ar:ra=(-I,-l,lf. (I) :1<iE3C3iE~*Q; (II) *3;t=!~*A.
X-I
-/
(J IFn <U a , I1P
- 2
loA.B) =2
~m JMu ~=0 B'l 1i!iilllM ~~,.R *-1-IoJ:lIt. (~J:9iJ ~=Jl B'ltl'M.
JI. mal -a, -a, Jl B'liBlMJJ
=
O~U (
~:J J J ~-0 B'l"~M. OJ'f\':9iJ1i!iilllM~. I!J. ~= (21) ~: (
I ) mJfiA-ijt9;n. A 1'f.J=1-~tiEii1l7t~U:7;] AI =A2 = -1. A) =2.
lilA\ =2, X.
Aa =a => AAa =Aa => Aa =1A\a =2a.
I!Il a, -a -•
(
~}!fo)', -2
~1'1' B 'l~
fiEII;] lUI -)., = -1 ~1'1' B 'ltl'1iE IoJ JU x = (
~
l
m'f
A:9iJ~f!;,*.
1!J.'Il1a =0
~ MllIa l
=(~} a, =(~
l
-->; -x, +x, =O. 1
2
f1 =a -(a 2• f11) f1 = .!.
2 2 (f1I' f11 ) I 2
1
1905n。