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1. 充4

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3.1 8

3.2 腅..8

3.3 16

4. .17

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3.1.1 腅

3.1.2

.

3.1.4 腅.

3.1.5 酅

3.1.6 ..................................................................

3.1.7 腅.....................................................................

3.1.8 充

3.1.9 .

3.1.10 腅.

3.1.11

3.1.12 .

3.1.13 酅.

3.1.14 ..

3.1.15

3.1.16 .

3.1.17

3.1.18 .

3.1.19 ⅅ

3.1.20 .

3.2 - 񅅅.................................

4 .

4.1 酅..

4.2 - .......................

5 . , , 充...

5.1 ..

5.2 腅..

6 - .

7 - 腅

充.. ..

. 򅅅.. ..

. 腅..........

(). ꅅ.. ....

 

.

, , , . .

. , , - . . , . .

 

 

 

.

 

3.1

: .

( 3621 ).

: 7 , 3 . 4,8 . 3,6 ( 3612 ).

, 600400 , . 60006000 90006000 . 220 , 1,5 6 9 . 300 . , . . . 0,00.

1.

 

1 .

 

4 [1], (DS/L)u=0,002, Su max=8 c.

 

3.2 .

3.2.1

. .2. , . . . :

..=(S)/4=(108,98+108,71+108,62+108)/4=108,58.

3.2.2

- . .3,4. , . .

3.2.3

1 , .

:

u=d60/d10= =0,835 < 3 ( .1.1 [3]).

gd=g/(1+W).

gd=1,75/(1+0,25)=1,4 /3 < 1,6 /3 .

n=1-gd/gs=1-1,4/2,66=0,47.

=n/(1-n). =0,47/(1-0,47)=0,899 (>0,8) ( . 2.2 [3]).

mv=β/=0,8/80=0,01 ²\ . β=0,8 ( .4.2 [2]).

Sr=(Wgs)/(egw)=(0,252,66)/(0,8991)=0,74 (0,5≤Sr≤0,8) ( .2.2 [2]).

: , , , , .

 

2 -, .

gd=g/(1+W)

gd=2,01/(1+0,19)=1,69 /3 > 1,6 /3 .

n=1-gd/gs=1-1,69/2,7=0,37.

=n/(1-n). =0,37/(1-0,37)=0,59 <0,9.

Jp=WL-Wp=0,22-0,16=0,06 (0,01<Jp<0,07) ( . 1[2]).

JL=(W-Wp)/Jp=(0,19-0,16)/0,06=0,5 (0<JL<1) ( .2.2 [2]).

mv=β/=0,74/160=0,005 ²\ . β=0,74 ( .4.2[2]).

Sr=(Wgs)/(egw)=(0,192,7)/(0,591)=0,87 > 0,8 , ( .2.2 [2]).

,

eL=0,222,7/1=0,594

Jss=(0,594-0,59)/(1+0,59)=0,003.

: , , , e=0,59, , .

 

3 -, .

gd=g/(1+W)

gd=1,90/(1+0,15)=1,65 /3 > 1,6 /3 .

n=1-gd/gs=1-1,65/2,68=0,38.

=n/(1-n). =0,38/(1-0,38)=0,61 <0,9.

Jp=WL-Wp=0,19-0,12=0,07 (0,01<Jp≤0,07) ( . 1[2]).

JL=(W-Wp)/Jp=(0,15-0,12)/0,07=0,43 (0<JL<1) ( .2.2 [2]).

mv=β/=0,74/70=0,011 ²\ . β=0,74 ( .4.2[2]).

Sr=(Wgs)/(egw)=(0,152,68)/(0,611)=0,66 (0,5≤Sr≤0,8) ( .2.2 [2]).

,

eL=0,192,68/1=0,509

Jss=(0,509-0,61)/(1+0,61)=-0,062 < Jss .=0,1 0,01 ≤ IP < 0,1 ( . 3[2]).

: , , , e=0,59, , .

 

4 -, .

gd=g/(1+W)

gd=2,00/(1+0,21)=1,65 /3 > 1,6 /3 .

n=1-gd/gs=1-1,65/2,69=0,39.

=n/(1-n). =0,39/(1-0,39)=0,64.

Jp=WL-Wp=0,24-0,14=0,1 (0,07 < IP ≤ 0,17) ( . 1[2]).

JL=(W-Wp)/Jp=(0,21-0,14)/0,1=0,7 (0,5 < IL ≤ 0,75) ( .2.2 [2]).

mv=β/=0,62/170=0,004 ²\ . β=0,62 ( .4.2[2]).

Sr=(Wgs)/(egw)=(0,212,69)/(0,641)=0,88 > 0,8 , ( .2.2 [2]).

,

eL=0,242,69/1=0,646

Jss=(0,646-0,64)/(1+0,64)=0,004 < Jss .=0,17 0,1 ≤ IP < 0,14 ( . 3[2]).

: , , , .

 

3.2.4

, 7[1]:

R=(gc1gc2)/k(Mgkzbg+Mqd1g'+(Mq-1)dbg'+Mcc), (1)

g1 g2 - , 3[1];

k - , , , k=1,1, 1[1].

.

Mg, Mq, Mc - , 4[1];

b - , ;

g - , , /3;

kz - , b<10 ;

g' - , , /3;

- , ;

d1 - , :

d1=hs+hcfgcf/g,

hs - , ;

hcf - , ;

gcf - , /3;

db - - , .

 

3:

g1=1,75 /3 g1=0,84

h1=1,5 q1=4,37

j1=26º 1=6,90

c1=0,1 /2

 

g2=2,01 /3 g2=0,72

h2=5,5 q2=3,87

j2=24º 2=6,45

2=0,6 /2

 

g3=1,90 /3 g3=0,56

h3=2,0 q3=3,24

j3=21º 3=5,84

c3=0,3 /2

 

g4=2,00 /3 g4=0,72

h4=6,0 q4=3,87

j4=24º 4=6,45

c4=3,1 /2

 

, - 1 - (1) :

R1=Mg1g2+Mq1h1g1+Mc1c1,

R1=0,842,01+4,371,51,75+6,900,1=13,851 /2

- -, - 1 (1) :

R2=Mg2g2+Mq2h1g1+Mc2c2,

R2=0,722,01+3,871,51,75+6,450,6=15,476 /2

- -, - 2 (1) :

R3=Mg2g3+Mq2(h1+h2)(g1h1+g2h2)/(h1 + h2)+Mc2c2,

R3=0,721,9+3,87(1,751,5+2,015,5)+6,450,6=58,18 /2

-, - 2 (1) :

R4=Mg3g3+Mq3(g1h1+g2h2)+ Mc3c3,

R4=0,561,9+3,24(1,751,5+2,015,5)+5,840,3=47,139 /2

-, - 3 (1) :

R5=Mg3g4+Mq3(h1+h2+h3)(g1h1+g2h2+g3h3)/(h1+h2+h3)+Mc3c3,

R5=0,562,00+3,24(1,751,5+2,015,5+1,902,0)+5,840,3=59,507 /2

-, - 3 (1) :

R6=Mg4g4+Mq4(h1+h2+h3)(g1h1+g2h2+g3h3)/(h1+h2+h3)+Mc4c4,

R6=0,722,00+3,87(1,751,5+2,015,5+1,902,0)+6,453,1=59,803 /2

 

3.2.5

. 5060.

5 15,00-15,40. ( 10%).

.

:

- , , , , , , 0,40-3,80 ;

- -, , , , , e=0,59, , 4,90-6,30 ;

- -, , , , , e=0,61, , 2,00-6,00 ;

- -, , , , -, 2,00-6,00 ;

104,00-104,20 , .

2- 1, 3- 2.

 

3.3

.2.26 [1], 10 , , .

 

- 2 [1]:

dfn=d0ÖMt,

t - , ( . 3 [10]);

d0 - , 0,28 ( .2.27 [1]).

t=12,6+11,6+5,9+3,5+8,9=42,5º

dfn=0,28Ö42,5 =1,83 .

3 [1]:

df=khdfn ,

kh , kh=0,5 ( . 1[1]).

df=0,51,83=0,915 .

 

 

.

1 - , . , 600400.

4.1

 

 

5 .

4.2

) -

-, .

)

dfn=1, 83 .

df=0,915 .

d≥df; d≥dfn

)

.

900 . d :

.

d≥dk

)

df + 2. .2[1] df.

)

.

d=2 .

 

4.3

.

:

=(N+N+N)/(BL)=Nk/(aB2)+gd,

g - , 2,3 /3,

d - , 2,0 ;

k - , :

=M/N=28/246=0,1138 → k=1,3 ( . 18[6])

a=lk/bk=l/b=0,6/0,4=1,5

=2461,3/(1,5B2)+2,32,0=213,2/B2+4,6

:

(B)=213,2/B2+4,6

R :

R(B)=(gc1gc2/k)(Mg2kzBgII+Mq2d1g'II +Mc2c2);

R(B)=(1,21,1/1)(0,721B(2,012,58+1,072,14+1,043,1+ +1,225,12)/(2,58+2,14+3,1+5,12)+3,87(1,25+(2-1,25))(1,751,25+2,01(2-1,25))/ /(1,25+(2-1,25))+6,450,6)=1,245B+23,984;

R(B)=1,245B+23,984

. , , Bmin=3,034 . B=3,1 .

= 1,53,12=14,415 2;

L=/B=14,415/3,1=4,7 .

4,73,12 .

. .

:

V=0,44,73,1+0,33,52,3+0,32,31,7+0,851,21,2=9,783 3

N=Vg=9,7832,5=24,46 .

: V=V-V=2,04,73,1-9,783=19,357 3

N=Vg=V(g1h1+g2h2)/(h1+h2)=19,357(1,751,25+2,010,75)/ /(1,25+0,75) =35,762 .

:

..=(N+N+N)/(bl)=(246+24,46+35,762)/(4,73,1)=21,01 /2

R .

R.=1,2453,1+23,984=27,85 /2

..=21,01 /2 < R.=27,85 /2

 

4.4 .

(. .6)

 

4.5

:

=(+d)/(N+N+N),

=28 , =5,7 , d=2 .

=(28+5,72)/ (246+24,46+35,762)=0,128 < l/30=0,156 (l=4,7 ),

.

:

max/min=N/AM/W=N/A(16e/l),

N=306,222 - , =bl=4,73,1=14,57 2- , - , W - .

Pmax/min=306,222/14,57(160,128/3,1)

Pmax=26,22 /2; Pmin=15,81 /2

:

max£1,2R Pmin>0.

max =26,22 < 1,2R=1,227,85=33,42 /2;

15,81 > 0 .

 

4.6

:

szp+szq£Rz(.)

szp,szq z , /²; Rz z, /².

szp=ao=0,239617,315=4,149 /2,

Po - , a - , .1 . 2 [1] η=l/b ζ=2z/b

 

Po=P..-szgo=P..-(g1h1+g2h2)=21,01-(1,751,25+2,010,75)=17,315 /2,

: P..- ;

- , .

=g1h1+g2h2=1,751,25+2,010,75=3,695

2z/b= 24,722/3,1=3,046 l/b =1,5 a=0,2396

szq=ågihi=1,751,25+2,013,33+(2,7-1)2,14/(1+0,59)=11,083 /2

 

:

Az=(NII+N+N)/szp=306,222/4,149=73,806 ²,

bz= -a,

a =(l-b)/2=(4,7-3,1)/2=0,8

bz= =7,828

:

R(B)=(gc1gc2/k)(Mg3kzbzgII+Mq3d1g'II +Mc3c3);

Rz=(1,21,1/1)(0,5617,828(1,043,1+1,225,12)/(3,1+5,12)+3,24(1,25+3,33+ +2,14)(1,751,25+2,013,33+1,072,14)/(1,25+3,33+2,14)+5,840,3)=56,754 /²

: szp+szq£Rz

4,149+11,083=15,232 < 56,754, .. , , , , .

 

4.7

.

:

S=bS(szpihi)/Ei,

S - , b=0,8 - , i - i- , szpi - i- , hi - .

, :

szp<0,2szg

szg=å(gihi)

szp=αP, P=P-szg0=21,01-3,695=17,315 /²

a - , .1 .2 [1]

h=(0,2 0,4)b

7.

 

1.

  szp szg0 0,2szg0  
zi, 2z/b l/b a a*Po g*h 0,2*g*h Ei hi scpi Si
  0,000 0,000 1,5   17,315 3,695 0,739   0,66 17,012 0,007017
  0,660 0,426 1,5 0,965 16,709 5,022 1,00432   0,66 15,549 0,006414
  1,320 0,852 1,5 0,831 14,389 6,348 1,26964   0,66 12,926 0,005332
  1,980 1,277 1,5 0,662 11,463 7,675 1,53496   0,66 10,173 0,004196
  2,640 1,703 1,5 0,513 8,883 8,945 1,788994   0,66 7,887 0,003253
  3,300 2,129 1,5 0,398 6,891 9,651 1,930234   0,66 6,147 0,002536
  3,960 2,555 1,5 0,312 5,402 10,357 2,071474   0,66 4,848 0,002
  4,620 2,981 1,5 0,248 4,294 11,064 2,212714   0,66 3,887 0,001603
  5,280 3,406 1,5 0,201 3,480 11,753 2,350601   0,66 3,169 0,002988
  5,940 3,832 1,5 0,165 2,857 12,439 2,487881   0,66 2,623 0,002473
  6,600 4,258 1,5 0,138 2,389 13,126 2,625161   0,66 2,208 0,002082

S=4 , S=8

S.=4 > 0,4S.=0,48=3,2 .

 

 

4.8

Rf, :

Rf=0,012*(W-0,1)+[W*(W-Wcr)2]/(WL*WP* √M0)

W,WP,WL - , , , Wcr- , , 5 [4], 0 - , ( t).

W=0,19; Wcr=0,157; WL=0,22; WP=0,16; Mt=42,50.

Rf=0,012*(0,19-0,1)+[0,19*(0,19-0,157)2]/(0,22*0,16*√42,5)=0,00198 -

gd=1,5 /3.

gd=2,01 /3 R'f=(0,00198*2,01)/1,5=0,00266.

39 [4], 2 .

, , .. 2.137[4] :

, - , . , - . 1 5 ().

- , 1,85´10-4 2;

- ;

- , ,

- , ;

- , .

.

 

:

,

tfh =8,34 /2 , 41 [4],

Afh- , ,

Afh=1,15∙1,2∙4+0,3∙3,9∙2+0,3∙2,3∙2+0,23∙4,7∙2+0,23∙3,1∙2=12,828 2

N0II ;

GfII ;

Frf , , df.

Rfj- , 2 [5] 1,62 /2 z=1,83.

fi - .

fi=0,17∙4,7∙2+0,17∙3,1∙2=2,652 2

F r =2,652∙1,62=4,296

8,34∙12,828=106,986 < 4,296+0,9∙(246+24,46)=247,71 - .

30% :

8,34∙12,828=106,986 > (4,296+0,9∙(246+24,46))∙0,3=74,313 - .

, :

Ø , , ;

Ø , , .

 

4.9

8.

φ=45º;

F1=4,76,3=29,61 ² - ;

F2=10,38,7=89,61 ² - ;

V= (F1+F2)h/2=(29,61+89,61)2/2=119,22 ³

1³ 2 1 3,6 . 1 7%.

.=119,221,073,6=459,235 .

1³ 31 .

.=319,783=236,6 .

:

.=.+.=459,235+236,6=695,835 .

 

.

 

5.1

 

9 .

 

5.2

dfn=1,83 . 2,0 . 2,15 .

5.3

3

1) 19804.1-79. 15. -6-30. 6 ., 300300. - 1,33 .

2) 19804.1-79. 20. -10-30. 10 , 300300 . - 2,38 .

3) 19804.1-79. 25. -16-40. 16 ., 400400. - 8,23 .

 

5.4

8[5]:

Fd=gc(gcrRA+uågcffihi),

R - (. 1[5]);

- ;

u - ;

fi - i- (. 2[5]);

hi- i- ;

g, gcr, gcf 1 :

Fd=RA+uåfihi

 

1

-6-30

=0,3²=0,09 ²

u=40,3=1,2 .

R=2026 =202,6 /²

 

h1=1,5 z1=2,9 f1=1,97 /²

h2=1,5 z2=4,4 f2=2,28 /²

h3=1,57 z3=5,94 f3=2,49 /²

h4=1,33 z4=7,38 f4=3,04 /²

 

Fd1=202,60,09+1,2(1,971,5+2,281,5+2,491,57+3,041,33)=45,227

:

1=Fd1/g=45,227/1,4=32,305 , g=1,4 .

 

2

-10-30

 

=0,3²=0,09 ²

u=40,3=1,2 .

R=941 =94,1 /²

h1=1,5 z1=2,9 f1=1,97 /²

h2=1,5 z2=4,4 f2=2,28 /²

h3=1,57 z3=5,94 f3=2,49 /²

h4=1,33 z4=7,38 f4=3,04 /²

h5=1,77 z5=8,93 f5=3,14 /²

h6=1,11 z6=10,37 f6=1,01 /²

h7=1,12 z7=11,49 f7=1,03 /²

 

Fd2=94,10,09+1,2(1,971,5+2,281,5+2,491,57+3,041,33+3,141,77+1,011,11+ +1,031,12)=35,061

:

2=Fd2/g=35,061/1,4=25,044 .

3

-16-40

 

=0,4²=0,16 ²

u=40,4=1,6 .

R=1061 =106,1 /² 18,05 ( 8,23 )

h1=1,5 z1=2,9 f1=1,97 /²

h2=1,5 z2=4,4 f2=2,28 /²

h3=1,57 z3=5,94 f3=2,49 /²

h4=1,33 z4=7,38 f4=3,04 /²

h5=1,77 z5=8,93 f5=3,14 /²

h6=1,11 z6=10,37 f6=1,01 /²

h7=1,12 z7=11,49 f7=1,03 /²

h8=1,5 z8=12,8 f8=1,06 /²

h9=1,5 z9=14,3 f9=1,09 /²

h10=1,5 z10=15,8 f10=1,12 /²

h11=1,5 z11=17,3 f11=1,15 /²

 

Fd3=106,10,16+1,6(1,971,5+2,281,5+2,491,57+3,041,33+3,141,77+1,011,11+1,031,12+ +1,061,5+1,091,5+1,121,5+1,151,5) =70,36

:

3=Fd3/g=70,36/1,4=50,2 .

 

5.5

:

n=NI1,2/P

1

n1=2911,2/32,305=10,81

n1=12

2

n2=2911,2/25,044=13,94

n2=14

3

n3=2911,2/50,2=6,95

n3=7

5.6

1

10.

: V=4,83,20,95+1,2²1,05=11,59 3

N=Vg=11,592,5=28,98

: V=V-V=4,83,22-11,59=19,13 3

N=Vg=19,13((1,751,25+2,010,75)/(1,25+0,75))=35,34

 

 

3

11.

: V=3,6²0,7+1,2²1,3=10,944 3

N=Vg=10,9442,5=27,36

: V=V-V=3,6²2-10,944=2,016 3

N=Vg=2,016((1,751,25+2,010,75)/(1,25+0,75))=3,72

 

5.7

1

:

=(1+1dp)/(N1+N+N)

=(33,6+6,82,0)/(291+27,36+3,72)=0,146 > l/30=0,12 (l=3,6) .

, , :

N=(N1+N+N)/n(M1y)/åyi2

n - ,

- , ,

i -

Nmax,min=(291+35,34+28,98)/12(33,62,06)/(2,0624+1,1724+1,822+0,622)= =29,612,33 ,

Nmax=31,94 , Nmin=27,28 - 1,4,8,12. , .

Nmax=31,94 < P=32,305

Nmin>0

3

:

=(1+1dp)/(N1+N+N)

=(33,6+6,82,0)/(291+27,36+3,72)=0,146 > l/30=0,08 (l=2,4)

, , :

N=(N1+N+N)/n(M1y)/åyi2

n - ,

- , ,

i -

Nmax,min=(291+27,36+3,72)/7(33,61,17)/(1,1724+1,222)=44,014,7,

Nmax=48,71 , Nmin=39,31 - 2,3,5,6. , .

Nmax=48,71 < P=50,2

Nmin>0

 

5.8

1

 

(. 12). :

, =(4,57224+1,32821)/(4,572+1,328)=23,32º

º, , b=3,526 ; ly=5,126 .

:

V=1/3h(bly+bly+Ö blybly)= =1/36(3,5265,126+2,33,9+Ö3,5265,1262,33,9)=79,554³

: V= V-V=79,554-1260,3²=73,07 ³

: N=Vg.=73,07(2,014,572+1,91,328)/(4,572+1,328)=145,06

: N=Vg=1260,3²2,5=16,2

:

=291+145,06+16,2+28,98=481,24

:

:

R=(gc1gc2)/k(Mgkzbg+Mqd1g'+(Mq-1)dbg'+Mcc),

R=(1,21,1)/1(0,7213,526((1,041,77+1,225,12)/(1,77+5,12))+ +3,878,05((1,041,328+1,072,142+2,013,33+1,751,25)/(1,328+2,142+3,33+1,25))+ +6,450,3)=66,188 /2,

P=26,36 < R=66,188

, .

.

:

S=bS(szpihi)/Ei,

S - ,

b=0,8 - ,

i - i- ,

szpi - i- ,

hi - .

, :

szp<0,2szg

szg=å(gihi)

szp=αP, P=P-szg=26,36-12,55=13,81 /²

szg=1,041,328+1,072,142+2,013,33+1,751,25=12,55 /²

a - , .1 .2 [1]

h=(0,2 0,4)b

13.

 

2.

  szp szg0 0,2szg0        
zi, 2z/b l/b a a*Po g*h 0,2*g*h Ei hi scpi Si
  0,000 0,000 1,45 1,000 13,810 12,55 2,51   1,000 13,244 0,01892
  1,000 0,567 1,45 0,918 12,678 13,59 2,718   1,000 11,628 0,016611
  1,774 1,006 1,45 0,766 10,578 14,39 2,878   0,774 9,073 0,004131
  2,774 1,573 1,45 0,548 7,568 15,615 3,123   1,000 6,470 0,003806
  3,774 2,141 1,45 0,389 5,372 16,835 3,367   1,000 4,626 0,002721
  4,774 2,708 1,45 0,281 3,881 18,055 3,611   1,000 3,377 0,001986
  5,774 3,275 1,45 0,208 2,872 19,275 3,855   1,000 2,410 0,001418

 

 

S=5 , S=8 .

S=5 > 0,4S=0,48=3,2.

 

5.9

Rf, :

Rf=0,012*(W-0,1)+[W*(W-Wcr)2]/(WL*WP* √M0)

W,WP,WL - , , , Wcr- , , 5 [4], 0 - , ( t).

W=0,19; Wcr=0,157; WL=0,22; WP=0,16; Mt=42,50.

Rf=0,012*(0,19-0,1)+[0,19*(0,19-0,157)2]/(0,22*0,16*√42,5)=0,00198 -

gd=1,5 /3.

gd=2,01 /3 R'f=(0,00198*2,01)/1,5=0,00266.

39 [4], 2 .

, , .. 2.137[4] :

, - , . , - . 1 5 ().

- , 1,85´10-4 2;

- ;

- , ,

- , ;

- , .

.

 

:

,

tfh =8,34 /2 , 41 [4],

Afh- , ,

Afh=1,051,24+0,63∙2∙(4,8+3,2)=14 2

N0II ;

GfII ;

Frf , , df.

Rfj- , 2 [5].

fi - .

F r =1,2125,9(1,971,5+2,281,5+2,491,57+3,041,33)+1,690,32(4,8+3,2)=1221,59

8,34∙14=116,76 < 1221,59+0,9∙(291+16,2+28,98)=1524,152 - .

30% :

8,34∙14=116,76 < (1221,59+0,9∙(291+16,2+28,98))∙0,3=457,246 - .

, .

 

5.10

, , :

dmin=1,75aP,

- , 25 /,

P=32,305 , .

Edmin=1,752532,305=1,413 .

- -994 G=0,6 , m1=1,5 1,512 .

Ed=GhK=0,62,80,9=1,512 > Edmin

: (m1+m2)/Ed£Km,

m1 ; m2 ; Km .

(1,5+1,38)/1,512=1,9 < 6 - , .

:

η , .

, = 0,09 .

; /

 

Sa=1500,091,512(1,5+0,21,38)/(45,227(45,227+1500,09)(1,5+1,38))=0,022

 

2 £ Sa=22 £ 25 - . .

 

 

5.11

14.

φ=45º;

F1=6,44,8=30,72 ² - ;

F2=10,48,8=91,52 ² - ;

V= (F1+F2)h/2=(30,72+91,52)2/2=122,24 ³

1 ³ 2 1 3,6 . 1 7%.

.=122,241,073,6=470,868

1³ 31

.=3128,98=898,38





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