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1 0,75 1 0,25 0,5 ????? ?????? ???? ??? ??????? ?????? ??( , , , )o i j k?? ? ????? ?????(2,0, 1)A- ? (2,4,2)B

1 ( ? ?????? ???? ?? ???(S) ?????? ?? ()2,2,4W ????? ?????? ?? 2

2 2 2 2 2 2 2 2 2

2( , , ) ( ) 4 4 8 20 0

( 4 ) ( 4 ) ( 8 ) 20 0 ( 4 4) 4 ( 4 4) 4 ( 8 16)16 20 0 ( 2) (M x y z S x y z x y z x x y y z z x x y y z z x y" Î Û + + - - - + =

Û - + -2 2 22) ( 4) 2z+ - =

??? ?????? ????(S) ?????? ?? ()2,2,4W ?????? ? 2R=. ??????? ?????? ( )P ????? ??? ????0ax by cz d+ + + = ??? ( , , )n a b c????? ?????? ????? . ????? (2,4,2)B ?(3,3,3)C ??? (1, 1,1)BC-???? ?????? ??? ???? ( )P ??0x y z d- + + = ??????? ????? ( )P ?????? ?? ???(2,0, 1)A- ???2 0 ( 1)0d- + - + = ?? 1d= -

3 ( ? - ? ??????? ?? ???( )P ?????? ???? ( )S ????? ??? ( )G ????? ?????? 1.

????? 2 2 22 2 4 1

3( ,( ))331 ( 1) 1d P- + -W = = =+ - + ??????R = 2

?? ???( ,( ))d P RW? ??? ???????( )P ?????? ???? ( )S???? ??? ?( )G?????? r ??? :

2 2 2 22 3 4 3 1r R d= - = - = - =

2 2

4x ty tz t= +

2 (1): 1 0 (2) : y=2-t

4P P?x tx y z?z tw w w= D Ç Û Î Î D

????)2 ( ??)1( ??? ???? :(2 ) (2 )(2 ) (2 ) (4 ) 1 0 1 t t t t t 2 0,75 0,75 1 1 0,5

0,5 ???? ????t = -1 ?? )2 ( ??? ????

2 ( 1)1

2 ( 1)3

4 ( 1)3x

y z= + - = ??= - - =??= + - =? ??? (1,3,3)w. ????? 3

7( )35card CW = =

1 ( ?????A " ???? ?????? ?????? ??????? ??? ??????" ??(), ,B B N

????? 2 1

3 4( )12card A C C= × = ??? ( )12( )( )35card Ap Acard= =W

2 ( ?????B " ?? ??? ??? ??? ??????? ????? ??? ?? ." ??()(), , ?? , ,B B B N N N

3 3

3 4( )1 4 5card B C C= + = + = ??? ( )5 1( )( )35 7card BP Bcard= = =W

3 (?????C " ???? ??? ????? ????? ??? ??????"

?????3

4( )4card C C= = ??? :( )4( )( )35card CP Ccard= =W ??? :

( ) 1( )

4 135

31 35p C p C= -

( 4 1)5n nu u n+= - - ??? n ???. ???1n nv u n= + - ???n ?? ?.

1 ( ? ?? ???( )nv ?????? ?????? ??????? 1

5.

1 1: ( 1)1

1 ( 4 1)5

1 ( 4 1 5)5

1 ( 1)5

1 5n n

n n n nn v u n u n n u n n u n v+ +" Î = + + - ??? ( )nv??? ??????? ?????? ???1 5q=

2 ( ?-? ???nv ????? n.

?????( )nv ?????? ?????? ??????? 1

5q= ???? ????? 0 00 1 2 1 1v u= + - = - = ???0n

nv v q= × ?? 1 5n nv 3 0,5 1 0,25 ??????? ? ?nu ????? n ?? ??? ?limn xu®+¥. ?????1n nv u n= + - ??? 1n nu v n= - + . ??? ????1 15n nu n( ) ?????1

1 15-? ? ??? 1

lim05n x®+¥( ) =( )( ) ????? ?()lim 1xn®+¥- + = -¥ ???limn xu®+¥= -¥

3 ( 0 1..............n nT v v v= + + + ? 0 1.............n nS u u u= + + +

? ?? ??? :1 1 54 5n
nT( )= -( ) 0 1 1 0 1 1 1

1..............

1 1 1

15 1115

5 1 14 5 1 1

5 54 5

1 1 5 545

1 1 545nn

n n n n n nT v v v q vq+ ?? ???( 1)( 2)

2n nn n

S T+ -= -

?????1n nu v n= - + ??? : ( )( )( )( )0 1 0 1 2

0 1.............

( 1) 0 1 ................ ( 1) .............. ( 1) 0 1 2 ............. ( 1) ( 1) ( 1) 1 2

1 2 2n n

n n n nS u u u v v v v n v v v n n nT n n

T= + + +

1( ??? ?? ???? : 2( 2 2 )2 4 2i i+ = - +

( )2

22( 2 2 )2 2 2 2 2

2 4 2 4

2 4 2i i i

i i+ = + × + 4 0,75 0,5 1 0,5 1 ()()2

22 2 4 2 2 2

2 4 2 4 8 4 2 4 2

2 4 2 ( 2 2 )i i i i? ?D = - + - + -? ?= + + - - +

12iz i+ - +

= = - ? ()22 2 2 2

2 1 22iz i+ + +

?- ? ?????? ????? ??????? ????? ???1z. ?????11 2z i= - = ??? :12 2 z 1 2 2 cos sin 2 cos sin2 2 4 4 4 4i i i ip p p p( ) ?- ? ?? ??? :1 2 2.2z z z= ) 2z ????? ????? ?? 2z. ( ( )()( )1 2

21 1 2

1 2 2 1

2 2 2 2 2 1

2z z i i

i i i i i z× = - + + ??????? : []1 2arg( ) 2arg( )0 2z zp+ º

?????1 2 2.2z z z= ??? :( )()[]1 2 2arg . arg2 2z z zpº ?? ()( )[]1 2 2arg( ) arg( ) arg 2 arg2z z zp+ º +

?? ????()()[]2 2arg arg2z zpº - ? ()[]arg2 0 2pº ??? []1 2arg( ) 2arg( )0 2z zp+ º ?- ? ????? ???? ???2z ?????[]1 2arg( ) 2arg( )0 2z zp+ º ? ( )[ ]1arg24zp pº - ??? ( )[ ]2arg28zp pº - I (????? g ??? ??????? ??????? ?????? ][0,+¥ ??? ??? : 1 ( ) 2lng x x xx= - -.

1 (? ?? ???2

2( 1)"( )x

g xx- = ??? x ?? ][0,+¥? ?? ?????? ?????? ???? ?????g ???][0,+¥. 5 0,5 0,75 0,25 ] [( )2 2 2 2 2 21

0, : "( ) 1 2ln

1 1 1 2 1 2 1 x g x xxxxx xx x x" Î +¥ = + - ????? ??? x ?? ][0,+¥ ( )21 0 x- ³ ? 20x?. 2(

?????? ?????g ?????? ??? ???????][0,+¥ ?????? ??? ????? ?]]0,1 ???]]0,1 0 1 ( ) (1)x x g x g" Î?£?£?

?? ???(1)0g= ??? ( )0g x£ ???x ?????? ?? ]]0,1 ?????? ????? g ?????? ??? ???????[[1,+¥ ??? [[1, 1 (1) ( )x x g g x" Î +¥?£?£ ?? ??? (1)0g= ???( )0g x³ ??? x?????? ?? [[1,+¥ II( ??????? ?????? f ??? ??????? ][0,+¥ ??? ??? :21 ( ) (ln )2f x x xx= + - -

1( ?- ? ?? ???2(ln )

limxxx®+¥) ??? ???? t x= ( ? ?? ???lim ( )xf x®+¥ ???t x= ??? 2x t= ????? x® +¥ ??? t® +¥ ????? ( )()( )2 2 222 2 2ln ln 2lnln4tx ttx t t t( ) ?????ln lim0tt t®+¥= ???( )2 2ln lnlim lim4 0x tx t x t®+¥ ®+¥( ) ( )( )( )2 2 2ln

1 1 2ln 2 1x

f x x x xx x x x( ) ?????( )2 2ln

1 2lim 0 ? lim 0 ? lim0x x xxx xx®+¥ ®+¥ ®+¥= = = ??? ()limxf x®+¥= +¥

? - ? ?? ?? ???? :1 ( ) ( )f f xx= ??? x ?? ][0,+¥. ???x ?? ][0,+¥ ????? ( )( )2 2

21 1 1 1

ln21 1 ln2 1 ln 2 ( )f x x x x x x x x x x f x( ) 6 0,5 1,5

1 ? - ? ???0

0lim ( )x

xf x®? ???1tx= ????? ??? 0x+® ???t® +¥ ??? ??? ?0 0 0 01 lim ( ) lim lim ( )x x t x xf x f f t x® ® ®+¥( ) ??????? ???( )C ??????? ???? ?????? ????0x= ?????()limxf x®+¥= +¥? ( )( )2 2ln

1 2lim lim1 1x xx

f xx x x®+¥ ®+¥( ) ( )21 ?? :y x=

2( ?? ??? :( )

"( )g xf xx= ??? x ?? ][0,+¥ ( )( )( )( )( )2 21
" 1 2 ln ln" 1 1

1 2 ln

1 1 2ln f x x xx x x x x x x x g x x= - - = ?????()"f x????? ??()g x ?????? ?????? ???? f

0 1 +¥ x - ffff + ()"f x +¥ +¥

0 ()f x

3 (???????

7 0,75

0,75 4 ( ?? ? ?????? ?? ???: lnG x x x- ?????? ????? ???? : lng x x® ??? ][0,+¥

][()()0, : " "ln ln "1

1 ln 1

ln 1 1 lnx G x x x x x x x x x x" Î +¥ = + - ??? ?????? G ?????? ????? ????g.

1(ln )2ex dx e= -∫

( )2ln " 1u x x v x? =??=?? ??? ( )( )ln " 2xu xxv x x?=? ( )[ ]( ) ( )( )( ) ( )( )2 2 111
2 1 1 2 1 1 2 2ln ln ln 2 ln 2 ln ln 2 ln ln 1 ln1 2 ln 1ln1 1 2e ee e e e ex x dx x x x dxx x x x dx x x x x x e e e e e e? ? ( )( )( )2 1 1 2 1 1 2 1 2 21
(ln ) 2 dx 1

2 dx ln dx

ln 2 2 2 1 ln 2 ln1 2 22 2 1 2e e e e eA f x dx x x x x x x x x x equotesdbs_dbs18.pdfusesText_24

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