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T1V

L1(

)n=1T=6V=7L=12

nTVL(

)

(20)?(

)

2

(1)??

??

(2)?

(3)

?10

?

(4)9

(9)

99

?

(5)?72

?

(6)??

?(2)

(7)?

(8)

???

(9)!(3)

?(

?)

(10)?

?

?

(11)

(12)?

(a) (b)

(c)

t1t2t3?

(13)?

a-daa+d

bg-1bbg

(14)?

xaa

(15)?

(a)

(b)

(c)

(16)?ab()

(a)a

(b)b

(c)abc (17)2624??

?()

(18)

?

(19)T

VLn

(20)??

??

?

?()

n?

n=100

n

()

n 4 5 9 10 14 15 19 20 24 25

En 1 2 2 4 4 6 6 9 9 13

n

En()

E100E100

(nEn)

??

nAn?(An=1)

3

(1)p??

()

(a)p(p)

p

(b)n(n

123) pp

p(

2x+1)

(2)1

(3)O1

2()9

O+1+2++9=45

44

(4)999

9+290+3900=2889

x

2889+4(x-999)=2989

x=1024

(

)

(5)_679_72898

79_8(1000879_792

2_679299(

9)3

() $367.9272=$5.11

(6)()

(

)

(7)

()

(a)4

(b)81/431

31

(8)

()

(a)4120240

(b)6180

(c)390180270

12

1416.113

32634=

++

(

3/2=1.5)

(9)ab

ab/2a/2

222312

2baaab=

(10)n(a)n

(b)n()

(a)n(b)

nn

()n

((a)(b)

)

()n

()()

n(a)(b)

((b) n

)

()

(11)

6(x+u)+10(y+v)=O

10(x+u)+10(y+v)=0

(x+u)(y+v)

x+u=0 y+v=0

-xu-yv -4x+4y=16

6x2y=-16

x=-2 y=2 u=2 v=-2

(12)(=

)

ct1-ct2+ct3=ct1+pt2+pt3

ct1-pt2+pt3=pt1+pt2+ct3

c-pt1=c-pt3

c>p

t1=t3

t3t1

t1/t2=c+p/c-p t3/t2

(a) pcpcc

ttttttc

++

=++++

3)3()(

321

321

(b) pcpc

tttt

+-

=++ 3321

2

(c)o

(60c)2=c2+24c c=25a=15b=20a=20b=15c=25(

)

(16)

sin=x/a

sin=x/b

c2=a

2+b

2-2abcos

ab

gbababa

CosSinSinSinSinSinSincx222

2222

-+=

(17)

)!1(11

)!1(!32

!21

+-=

++++

nnn

nn+1

?

)!2(11

)!2(1

)!1(!32

!21

+-=

++

++

+++nn

nn

n

)!1(1

)!2(1

)!2(1

++

+-=

++

nnnn

)!1(1

)!2(2

+=

++

nnn

n=123

(18)nn3nm

2m-1

m=l+2+3++n=2

)1( +nn

4 2m-1=n2+n-1

n-1

(n2+n-1)-2(n-1)=n

2-n+1

[(n-1)2+(n-1)-1]+2

!

(n2-n+1)+(n

2-n+3)++(n

2+n-1)=n

3

n2

() (n

2-n+1)(n

2+n-1)n/2=n

3 (18)

(19)n6n6n1

6n n-1nV6n

V=1+6(1+2+3++n)=3n2+3n+1

(4)

6

T=6(1+3+5++2n-1)=6n2

(18)T3T

3T16n

2L=3T+6n

L=9n2+3

(T+V=L+1

!)

(20)AnBnCnDnEn

n

An

Bn

Cn

Dn

En En (

?!) Enn

Dn

()n-50

En-50 En=Dn+ En-50

Dn=Cn+Dn-25

Cn=Bn+Cn-10

Bn=An+Bn-5

A0=B0=C0=D0=E0=1

()AnBn,En0

E25=D25,

E25-50=E-25=0

(n

)C20B30

C30An0

1(?) O 5 10 l5 20 25 30 35 40 45 50

An

Bn

Cn

Dn

En

1 1 1 1 1 1 1 1 1 1 1

1 2 3 4 5 6 7 8 9 lO 11

1 2 4 6 9 12 16 20 25 30 36

1 2 4 6 9 13 18 24 31 39 49

1 2 4 6 9 13 18 24 31 39 50

C30=B30+C20=7+9=16

E50=505050

E100=292292