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-,�:ll� ( 10 ,J,i'ffi, $1J,Jffi 5 �,�s �- tt:$1J,i'ffi�l±l l¥-J lm1'-�IJJiq:i, .R fi-lffif4]=.g-Jm El
� *
o
tE!JiJr�IJJi wi tt-J!¥! fij::fl:ff i'ffi/§ a{] ffi� p;j • )
1
*�
(1) x---+ 0 at ,a( x) ,/3( x) :N::�Pfx� ;Jvlt ,JJ!U (:Xra'-JfrrH,1Iq:t,
*
Q) a(x) ~ f3(x) ,JJ!U a 2 (x) ~ f3 2 (x);
*
@ * a 2 ( x ) ~ /3 2 ( x) , JJ!U a ( x) ~ /3 (x ) ;
@ * a ( x) ~ f3 ( x) , JJ!U a (x ) -f3 ( x ) = o (a ( x) ) ;
@ a ( x ) -f3 ( x) = o (a ( x) ) , JJ!U a ( x) ~ f3 ( x ) ,
Jt fir H,1I a'-] ff% 7'1 ( )
(A) Q)@. (B) Q)@. (C) Q)@@. (D)@@@.
( 2 ) B � an = ✓n - ( - l ) n ( n = 1 , 2 , · · · ) , JJ!U j an f ( )
n
(A) � �j(ffi, � �lj\ffi. (B ) � �j(ffi, fi!:� �lj\ffi.
(C ) f)t� �j(ffi, � �;J\ffi. < o) r:it� �*ffi, r:it� �/J\ffi.
r-y
(3) B�J(t) i!�,� F(x, ) = (x - - t)J(t)dt,JJ!U( )
y y
aF aF a2F a 2 F_ aF aF a 2 F _ a 2 F
(A) = = (B ) = =
ax a y ' ax2 ay2 ax a y ' ax2 a y 2 •
aF _ aF a2 F a2 F_ aF _ aF a2F _ a 2 F_
(C ) = , = (D) = , =
ax
i'
a
y
ax2 ay2
,
ax a
y
ax2 ay2
( 4 ) �-+.>- I, _ - 2 ( 1 + x ) d x ,/ 2 _ - 1 l 1 n ( + 1 + x) dx, / 3 - _ 11 1 + 2x. dx, !J @ bI ' (
0 COS X O COS X O Sill X
(A)I, < 1 2 < / 3 . (B)/2 < / I < / 3 .
(C)/1 < /3 < 1 2 . (D)/ 3 < 1 2 < I,.
( 5) i& A 7-J 3 ID')-9;1!� , A = [� _o 1 �1, J)!lj A Ef'-Jt#filffi1g l, - 1 ,0 Ef'-JJt:Jt&,��{4:N::( )
0 0 0
(A ) #tEPf :i£9il!�P , Q, f1!1f A = PAQ.
(B) #tEPf:i£9il!�P,f1!1fA = PAP-'.
(C) #tEiE5t9ie�Q,fl!{fA = QAQ-'.
(D) #tEPf:i£9il!�P,f1!1fA = PAPT.
( 6) i&Jie�A = [: : � 2),b = [�],JJ!U�'i':E7Tl'itll Ax = b a'-].a'-J'trfl£1'1( )
1 b b2 4
(A) :JG.. (B) �--
�x��-�xM. �Pl--�x•.
(C) (D)
-1-T T T 2 T
(7) i&ta1 = (A,l,l) ,a2 = (1,A,l) ,a3 = (1,1,A) ,a4 = (1,A,A ) ,�a1,a2,a3 l=:ia1,a2,
a4 �1ft, !JIU A� Jlitffi:ffi:fll�( )
(A)j0,ll. (B)j,\ [A e R,A ;;6-2l.
(C)j,\ [A e R,A ;;6-1,A ;;6-2l. (D)j,\ [A e R,A ;;6-ll.
! )
(8)i&tllltlL?:!t:11:X - N(0,4) ,llltlL?:!t:l:Y - B (3, ,HX,Y�;ffi*,!JIUD(X -3Y+ 1 )= ( )
(A)2. (B)4. (C)6. (D)l .
O
(9) i&t llltJL�:ll:!¥JU X 1 ,X 2 ,···,X ,. ,· .. �1LfiiJ5t$, H X 1 �ffl: $Wll1-J f(x) =
1 - IX I ' IX I 1, Ix:
{
0, Jtft!!.,
< !JIU� n -- 00 at,..!._ #(ffl:$i&�r( )
ll i=I
g1 · 61 " 31 ·
(A) (B) (C)
( 10) 11t=!t llltlL?:!t:11:( X , Y) �..,..-ffl: $-5t- ;(Jj 1-J--,.--------
� 0 I 2
- 1 0. 1 0. 1 b
1 a 0. 1 0. 1
�$f4lmaxjX,Yl = 2l l=:ilH4JminlX,Yl = ll ffl::!i�.1L.,JJ!UCov(X,Y) = ( )
(A)-0.6. (B)-0.36. (C)0. (D)0.48.
= ..
-
ta�R( *R� 6 1J,R-,(ij1J\R s � .� 30 � .��-tli£�1fitfUlJ::.. )
(1 ; e x tx
(11) � =
r
2
2x -4
(1 2) 1 2 dx= --
X +2x+4
(13) B 0 �Bi§f{J(x) = e•in x +e -•inx ,JJ!tlf "' (2,r) = --
(1 4) B�Bi§f{J(x) = { e x ' O ::;;. x ::;;. l , JJ!tlf + "' dxf + "' f(x)f(y -x)dy =
0, JtfiB, --
-CII -CII
w�� ,u� - ,u,
(15) i&tA 1g 3 �m�. 3'.t� A�� 2 :ff�� 3 fi", 2 11ff1Ja�J� 1 �t�Jm�
- -1
[ / _\ 0 ] ,JJ!U A-1 �� tr(A- 1 ) = __
-1 0 0
(1 6) i&tA , B, C 1gll.lfitJL$f4,H A £ff B ]i�;ffi�,A l=:i C ::!i�;ffi�,B l=:, C ffl1i�.1L,P(A) = P(B)
!
= P(C) = ,!JIUP(B U C[A U B UC)= __
-2-= .. •��
m�
p��� 6 ,j,�, � 70 7t, Ell� H::l x !:¥!i�PJI, iiEPJB:1:f¥�nUJ�!fflt )
( 17) ( 2's:R1Hl?t 10 ?t)
1
�Risi� y(x) :JBl?t:nl'iy' + --y = 2 + ✓x altllil�
2✓x
1 1
��/'° £ aJtff �:fcBt a o) ¾*���- ium
·*
;W::zjs: X
1
,X
2 ' ...
,X
n
,Y
1
,Y
2
'
...
,Y
m
0 a{]Rl:k1�1iit:S: 0,#*
D(
0).
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