1()

zhsnpine@tom.com

1 I ()

1 (1)(Venn) (2) (3)

2(1) (2) (3)

(1) i)

??aBABaB?

(1) ii)() (1o)

(2o) 5 {x|0x5}

(3o)

(4o){x|x0xR} {x|x}{x|x0} {}

(5o)NNNZQR {}

(2) () 1() 2

(2)ABCAB BC AC

(3) Venn

Venn U{x|1x10xN}AB{1235}UAB{79}U(AB){10}A_________B__________

12357910U468 U{x|1x10xN}AB{1235}UAB{79}U(AB){10}A________________________B_______________________1234568123579

1714()

{x|x}{x|x}{x|x170cm}{x|x}{x|x}{x|x}{x|x}{x|x}{}{x|x2007312}{x|x}({x|x}){}

1I I

2() (1) (2) (3) (4) (5) (6)

(1) () () ()

(1)

(2)ABfAxByAB(function)yf (x)xAf (x)2x1 xR

f(x)2x1, xR1

f(x)2x1, xR1

f(x)2x1, xR

f(x)2x1, xR

(3)x

(4)

yaxbyax2bxc

y y

yax yloga(mxn)

ysinxycosx

yaxbyax2bxc yax ysinxycosx

(5)

(2) () ()

()() ()()

24

xyyx

y eq \f(x,1x)(x0)

[414]t

f(t)t[024][414]t

441424Of(t)t[024]t

f(t)t[024][414]t1t2t1t212 f(t)[414][414]f(t)

(3)

(4)

a0b0stZ

asatas eq \s\do2()tasatas eq \s\do2()t

(as)tast

(ab)tatbt( eq \f(a,b))t eq \f(at,bt)

x01(x0)

nN( eq \r(n,a))n eq \r(n,an)

( eq \r(n,a))na

n eq \r(n,an)a

n eq \r(n,an)|a| eq \b\lc\{(\a\al(aa0,aa0))

(4) 14C

yax

a

y

y

x

O

1

x

O

1

(1)R

(2)(0)

(3)(0,1)x0y1

(4)R (4)R

a1 0a1

3 y2x(1) y2x2 (2) y2x2

(4) 4 184

5 arxy(1)x(2)10002.25%5 6 200020027.8200020102000()

6

(5) abNlogaNba b N

abN logaNb

amanamn

eq \f(am,an)amn

(am)namn

loga(MN)logaMlogaN

loga eq \f(M,N)logaMlogaN

logaMnnlogaM

6 log35

tlog353t5

lg3tlg5

tlg3lg5

t eq \f(lg5,lg3)

log35 eq \f(lg5,lg3)

logaN eq \f(logcN,logca)

a0a1

N0c0c1

8 GDP20009

(5) yaxylogax(a0a1)

121y()x() y2x

x()y() xlog2yxy2 ylog2x ylog2xy2x

yaxylogax(a0a1)y2xylog2xy10xylgx

y2xylog2x y( )xylog x

a1 0a1

(4)(0) (4)(0) (1)(0)(2)R()(3)(10)x=1y=0

(6) yxyx2yx3y yx 5

55

(7) x3axb0 axbxc0 lgxbxc0

f(x)ax2bxcf(p)f(q)0(pq)f(x)0x0(pq)

x3axb0 axbxc0 lgxbxc0 1 x3 axb axbxc lgxbxc

2f(x)g(x)f(x)g(x)f(x)g(x)f(x)g(x) 3f(x)g(x)f(x)g(x)

(8)

1 20030005000C()P()R()L()x()

2 T0tTTTa(T0Ta) eq \b\bc\((\f(1,2)) eq \s\up6(\f(t,h))Tah

88C24C40C20min35C

3 f(x)Mf(x)Mf(x)f(x1)f(x)100x(xN*)R(x)3000x20x2()C(x)500x4000()

(1)L(x)ML(x)

(2)L(x)ML(x)

4 551060ABCD(500g)S(t)()t()620

(9)32-3

70160

18

160

140

120

100

80

0 20 40 60 80 100 120 140 160 180 200(1)A BC D(2)200

A

B 18

160

140

120

100

80

0 20 40 60 80 100 120 140 160 180 200

yax2bxc(x0)(40120)(80100)(12090)

eq \b\lc\{(\a\al(1600a40bc120,6400a80bc100,14400a120bc90))

eq \b\lc\{(\a\al(a\f(1,320),b\f(7,8),c150))

y eq \f(1,320)x2 eq \f(7,8)x150(x0)

y eq \f(1,320)x2 eq \f(7,8)x150 eq \f(1,320)(x140)2 eq \f(355,4)x140140

C

y8070

yabxc(x0)(40120)(80100)(12090)

eq \b\lc\{(\a\al(ab40c120,ab80c100,ab120c90)) eq \b\lc\{(\a\al(a80,b40\f(1,2),c80))

y80( eq \f(1,2)) eq \s \up6(\f(x,40))80(x0)

x160y85

C

y6070

y eq \f(a,xb)c(x0)(40120)(80100)(12090)

eq \b\lc\{(\a\al(\f(a,40b)c120,\f(a,80b)c100,\f(a,120b)c90)) eq \b\lc\{(\a\al(a4800,b40,c60))

y eq \f(4800,x40)60(x0)

x160y84

18714407080

R2

(2)y80( eq \f(1,2)) eq \s \up6(\f(x,40))80(x0)

x200y83

20083

(10) 1 2 3

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