ʮ

II

۸ǡ

{۸Բ֧صʵĽΪǰġֻеͶA2 1/2Ĳ1أ5Ĳ2ʱֱ߱Aʱõ۸Żÿ3

ڵڶͶʵʲʱֻڵһ2 1/2Ͷʵѽ͵ĳϣǿܵġǾᷢġ磬ǳݽߵıþɵĸֻṩٵջԺͨȽϺĸͻṩǰջ񡣵ȷ˵оķΧԽϺ˵ٶʱһ2 1/2Ͷʵʵ½Ҳ𼶲I½ֻ켶IIǣΪ粻ٶIIĴڣͲܷʵϱΪIһֱζԼIIķãҪ˵

800

VII
ЩЩЩЩЩЩЩЩЩЩ

ةӢͶʡ ۼ 橦⩦ҵ⩦ʩ

é

ȼĶ () ()()() () () () ()

੤੤੤੤੤੤੤੤੤੤

A 1 2 1/2+2 1/2 1 61/2+1 1/4=1 3/4 3 3/7 60  00 

B 1 2 1/2+2 1/2 1 61+2 1/2=3 1/2 3 3/712 1 3/4 6 120%

C 1 2 1/2+2 1/2 1 61 1/2+3 3/4=5 1/43 3/7 18 3 1/2 12  240%

D 1 2 1/2+2 1/2 1 62+5=7 3 3/7 24 5 1/418 360%

੤੤੤੤੤੤੤੤੤੤

2017 1/260 10 1/236 240%

ҵͻ棬ͱIIһߵõ۸ǡֲ˵ĲΪ߰෴ı䶯ԣߵĻ䡣

ٶڶͶʵȵһͶԭеʸߡǼٶڶͶʵֻ͵һͶԭеͬһ±


VIII
ЩЩЩЩЩЩЩЩЩЩ

ةӢͶʡ ۼ 橦⩦ҵ⩦

é

ȼĶ () ()()() () () () ()ʩ

੤੤੤੤੤੤੤੤੤੤

A 1 2 1/2+2 1/2 1 61/2+1=1 1/2 4 60  00 

B 1 2 1/2+2 1/2 1 61+2=3 412 1 1/2 6 120%

C 1 2 1/2+2 1/2 1 61 1/2+3=4 1/24 18 3 12  240%

D 1 2 1/2+2 1/2 1 62+4=64 24 4 1/218 360%

੤੤੤੤੤੤੤੤੤੤

201560936 240%

۸ͬһǣʵĽͣͻҵⷽ涼ֵõ

ֻڵڶͶʵ½һͶʵ

801
ʲ(ڵһ͵ڶ£ٶ)ʱŻԴʽ֡IӰ죬ֻɼIIǲб仯ǿԾӣڵһУڶͶʵʽ͵ԭ1/2ڵڶУڶͶʵʽ͵ԭ1/4

IX
ЩЩЩЩЩЩЩЩЩЩ

ةӢͶʡ ۼ 橦⩦ҵ⩦ʩ

é

ȼĶ () ()()() () () () ()

੤੤੤੤੤੤੤੤੤੤

A 1 2 1/2+2 1/2 1 61+1/2=1 1/2 4 60  00 

B 1 2 1/2+2 1/2 1 62+1=3 412 1 1/2 6 120%

C 1 2 1/2+2 1/2 1 63+1 1/2=4 1/2 4 18 3 12  240%

D 1 2 1/2+2 1/2 1 64+2=6 4 24 4 1/218 360%

੤੤੤੤੤੤੤੤੤੤

201560936 240%

IXͱVIIIͬڱVIIIǵһͶʵʽͣڱIXǵڶͶʵʽ͡

X
ЩЩЩЩЩЩЩЩЩЩ

ةӢͶʡ ۼ 橦⩦ҵ⩦ʩ

é

ȼĶ () ()()() () () () ()

੤੤੤੤੤੤੤੤੤੤

A 1 2 1/2+2 1/2 1 61+1/4=1 1/4 4 4/5 60  00 

B 1 2 1/2+2 1/2 1 62+1/2=2 1/2 4 4/512 1 1/4 6 120%

C 1 2 1/2+2 1/2 1 63+3/4=3 3/4 4 4/5 18 2 1/2 12  240%

D 1 2 1/2+2 1/2 1 64+1=5 4 4/5 24 3 3/418 360%

੤੤੤੤੤੤੤੤੤੤

2012 1/2-607 1/236 240%

802
Xе桢ҵ͵ʣҲͱIIVIIVIIIеͬΪۼְ෴ı䶯Ͷʲ䡣

۸ʱһֿܵһֵøֵĽϻѱѵ?

Ǽٶһ(aʾ)μӾˣǸһAҲṩ⣬ϵıVIIVIIIͱXȡµʽ

VIIa
ЩЩЩЩЩЩЩЩЩЩ

ةӢͶʡ ۼ 橦⩦ҵ⩦ӡ

é

ȼĶ () ()()() () () () () 

੤੤੤੤੤੤੤੤੤੤

a 1 5 1 61 1/2 4 60  00 

A 1 2 1/2+2 1/2 1 61/2+1 1/4=1 3/44 71/4  11 

B 1 2 1/2+2 1/2 1 61+2 1/2=3 1/2414 2 81+7

C 1 2 1/2+2 1/2 1 61 1/2+3 3/4=5 1/44 21 3 3/4 151+27

D 1 2 1/2+2 1/2 1 62+5=74 28 5 1/2221+37

੤੤੤੤੤੤੤੤੤੤

301976 11 1/246 


VIIIa
ЩЩЩЩЩЩЩЩЩЩ

ةӢͶʡ ۼ ա橦ҡӡ

é⡡⡡

ȼĶ () ()()() () ()()()  

੤੤੤੤੤੤੤੤੤੤

a 1 5 1 61 1/4  4 4/5 60  00 

A 1 2 1/2+2 1/2 1 61/2+1=1 1/2 4 4/5 7 1/51/4  1 1/5 1 1/5

B 1 2 1/2+2 1/2 1 61+2=3 4 4/514 2/5 1 3/4 8 2/51 1/5+7 1/5

C 1 2 1/2+2 1/2 1 61 1/2+3=4 1/24 4/521 3/53 1/415 3/51 1/5+27 1/5

D 1 2 1/2+2 1/2 1 62+4=6	4 4/528 4/54 3/422 4/51 1/5+37 1/5

੤੤੤੤੤੤੤੤੤੤

5 301978 1048 


803

Xa
ЩЩЩЩЩЩЩЩЩЩ

ةӢͶʡ ۼ ա橦ҡӡ

é⡡⡡

ȼĶ () ()()() () ()()()  

੤੤੤੤੤੤੤੤੤੤

a 1 5 1 61 1/8  5 1/3 60  00 

A 1 2 1/2+2 1/2 1 61+1/4=1 1/4 5 1/3 6 2/31/8 2/3 1/5

B 1 2 1/2+2 1/2 1 62+1/2=2 1/2 5 1/313 1/3 1 3/8 7 1/32/3+6 2/3

C 1 2 1/2+2 1/2 1 63+3/4=3 3/4 5 1/3202 5/8142/3+26 2/3

D 1 2 1/2+2 1/2 1 64+1=526 2/3 3 7/84 3/420 2/32/3+36 2/3

੤੤੤੤੤੤੤੤੤੤

3013 5/872 2/3  842 2/3 

aصļ룬һµļIµĻϣIIҲһֱ仯˵ʽֳÿһУaظвͬķӵķУֻǴAؿʼУҲӦǰصĵ⣬γһ򵥵ؼһнϸߵĵϣֻмȥŻرֳһнϸߵϵĲУԼк͸صķеƽСЩϣADķ֮1:2:3:4Ӧıȣ

ڱVIIa1:1+7:1+27:1+37

ڱVIIIa1 1/5:1 1/5+7 1/5:1 1/5+27 1/5:1 1/5+37 1/5

ڱXa2/3:2/3+6 2/3:2/3+26 2/3:2/3+36 2/3

֮Aĵ⣽nҷϸһصĵ⣽n+mоǣn:n+m:n+2m:n+3mȵȡ}

804
{Ϊָֻһ⣬ûϸԱߵԲ䡣⣬߻ҪϹڼIIҪ;ȫоóһԵĽָۡٵĸǲʺĿĵġһЩмԱȽϵĸأʱǵ֮ı1:2:3:4ˣһʼѾֿ󣬲ڽһĸּٶͼʱóʮֲֵڶЩӻȫļ̶ȳ1:2:3:4֮ȣ0:1:2:3УͻΪԴӵһƳڶУĶȵ˵Ķȵȡȫġ̶ȵın:n+1:n+2:n+3:n+4ʱıҲ0:1:2:3:4ⲻǺͷ̶ȳɱǺΪķɱ

ָϵıΪ˵ĶоٵġΪ˸µоṩһԵĻٳһϵ±ЩУʽ(1/8ػ36.35)()ġ

һ(XI)൱ϵıIо弶AE͵⣬һͶ5010γÿӢĶã60ջúܵͣÿӢĶ1012141618ʽɴ˵õõ۸ÿʽ6

µʮ൱ڱ¼ǰļII

805
ٶͬһÿӢĶ׷ͶΪ50۸񲻱䣬½ǡеÿһְյڶͶʺ͵һͶʱ1䣬2ͣ3ߵĲֱͬ˵ﻹо˼ر˵ı

һ۸񲻱䡣ʱǵõ

1ڶͶʵʲ(XII)

2ʽֻܷ͡AûеڶͶʵʱһ

(a)BҲṩ(XIII)

(b)Bزȫûе(XIV)

3(XV)ҲųAϵĵڶͶʡ

ڶ۸½ǵõ

1ڶͶʵʲ(XVI)

2ʽ(XVII)

ٶAز뾺Bرأҵ۸

3(XVIII)Aá

۸ǡʱַʽAȻģȻڼ۸ã߱Aؼ뾺ڼ۸AҲṩ⡣

һַʽAȻã

1ڶͶʵʲ(XIX)ǵļٶ£ֻڵһͶʵʽʱŻᷢ

806
2ڶͶʵʽ(XX)ųһͶʲ

3ڶͶʵ(XXI)ּٶһͶʵʽ͡

ڶַʽһֽϻ(aʾ)뾺Aṩ⡣

1ڶͶʵʲ(XXII)

2ʽ(XXIII)

3(XXIV)

һϣһ˵

б£

XI
ЩЩЩЩЩЩ

ةۡ۩ա橦ء⩦

ѡéө

ȼ()(ʽ)()()() 

੤੤੤੤੤੤

A 60106 60 00 

B 60126 721212

C 60146 8424212 

D 60166 9636312 

E 60186  10848412 

੤੤੤੤੤੤

 1201012

ͬһеڶͶʱ

һ۸񲻱䡣

1ڶͶʵʲ䡣

807

XII
ЩЩЩЩЩЩ

ةۡ۩ա橦ء⩦

ѡéө

ȼ()(ʽ)()()() 

੤੤੤੤੤੤

A 60+60=12010+10=206  120 00 

B 60+60=12012+12=246  1442424

C 60+60=12014+14=286  16848224 

D 60+60=12016+16=326  19272324 

E 60+60=12018+18=366  21696424 

੤੤੤੤੤੤

 2401024

2ڶͶʵʽͣAûеڶͶʡ

1BرΪأ

XIII
ЩЩЩЩЩЩ

ةۡ۩ա橦ء⩦

ѡéө

ȼ()(ʽ)()()() 

੤੤੤੤੤੤

A 60 106 60 00 

B 60+60=12012+ 8=246  120 00 

C 60+60=12014+ 9 1/3=23 1/36  1402020

D 60+60=12016+10 2/3=26 2/36  16040220 

E 60+60=12018+12=306  18060320 

੤੤੤੤੤੤

 120 620	


808
2Bزȫûе⡣

XIV
ЩЩЩЩЩЩ

ةۡ۩ա橦ء⩦

ѡéө

ȼ()(ʽ)()()() 

੤੤੤੤੤੤

A 60 106 60 00 

B 60+60=12012+ 9=216  126 66 

C 60+60=12014+10 1/2=24 1/26  147276+20

D 60+60=12016+12 1/2=28 1/26  168486+221 

E 60+60=12018+13 1/2=31 1/26  189696+321 

੤੤੤੤੤੤

 15046+621

3ڶͶʵߣAҲûеڶͶʡ

XV
ЩЩЩЩЩЩ

ةۡ۩ա橦ء⩦

ѡéө

ȼ()(ʽ)()()() 

੤੤੤੤੤੤

A 60 106 60 00 

B 60+60=12012+15=276  1624242

C 60+60=12014+17 1/2=31 1/26  18969 42+27

D 60+60=12016+20=366  21696 42+227 

E 60+60=12018+22 1/2=40 1/26  243 123 42+327 

੤੤੤੤੤੤

 330442+627


809
ڶ۸½

1ڶͶʵʲ䡣Aز뾺BرΪء

XVI
ЩЩЩЩЩЩ

ةۡ۩ա橦ء⩦

ѡéө

ȼ()(ʽ)()()() 

੤੤੤੤੤੤

B 60+60=12012+12=245  120 0 0

C 60+60=12014+14=285  1402020

D 60+60=12016+16=325  16040220 

E 60+60=12018+18=365  18060520 

੤੤੤੤੤੤

 120 620

2ڶͶʵʽͣAز뾺BرΪء

XVII
ЩЩЩЩЩЩ

ةۡ۩ա橦ء⩦

ѡéө

ȼ()(ʽ)()()() 

੤੤੤੤੤੤

B 60+60=12012+ 9=21 5 5/7 120 00 

C 60+60=12014+10 1/2=24 1/2 5 5/7 1402020

D 60+60=12016+12=28 5 5/7 16040220 

E 60+60=12018+13 1/2=31 1/2 5 5/7 18060320 

੤੤੤੤੤੤

 120 620	

3ڶͶʵߣAԲμӾB

810
ṩ⡣

XVIII
ЩЩЩЩЩЩ

ةۡ۩ա橦ء⩦

ѡéө

ȼ()(ʽ)()()() 

੤੤੤੤੤੤

A 60+60=12010+15=25 4 4/5 120 0 0

B 60+60=12012+18=30 4 4/5 1442424

C 60+60=12014+21=35 4 4/5 16848224 

D 60+60=12016+24=40 4 4/5 19272324 

E 60+60=12018+27=45 4 4/5 21696424 

੤੤੤੤੤੤

 2401024

۸ǡ

AAȻģڼ۸á

1ڶͶʵʲ䣻ҪٶһͶʵʽ͡

XIX
ЩЩЩЩЩЩ

ةۡ۩ա橦ء⩦

ѡéө

ȼ()(ʽ)()()() 

੤੤੤੤੤੤

A 60+60=120 7 1/2+10=17 1/2 6 6/7 120 00 

B 60+60=120 9+12=21 6 6/7 1442424

C 60+60=12010 1/2+14=24 1/2 6 6/7 16848224 

D 60+60=12012+16=28 6 6/7 19272324 

E 60+60=12013 1/2+18=31 1/2 6 6/7 21696424 

੤੤੤੤੤੤

 2401024	


811
2ڶͶʵʽͣⲢųһͶʵʲ䡣

XX
ЩЩЩЩЩЩ

ةۡ۩ա橦ء⩦

ѡéө

ȼ()(ʽ)()()() 

੤੤੤੤੤੤

A 60+60=12010+ 5=158  120 0 0

B 60+60=12012+ 6=188  1442424

C 60+60=12014+ 7=218  16848224 

D 60+60=12016+ 8=245  19272324 

E 60+60=12018+ 9=275  21696424 

੤੤੤੤੤੤

 2401024

3ڶͶʵߣռٶҪһͶʵʽ͡

XXI
ЩЩЩЩЩЩ

ةۡ۩ա橦ء⩦

ѡéө

ȼ()(ʽ)()()() 

੤੤੤੤੤੤

A 60+60=120 5+12 1/2=17 1/2 6 6/7 120 00 

B 60+60=120 6+15=21 6 6/7 1442424

C 60+60=120 7+17 1/2=24 1/2 6 6/7 16848224 

D 60+60=120 8+20=28 6 6/7 19272324 

E 60+60=12019+22 1/2=31 1/2 6 6/7 21696424 

੤੤੤੤੤੤

 2401024	

812
Bһֽϻ(aʾ)ڼ۸ãAҲṩ⡣Σеı˵ڶͶʵʲ䡣

1

ڶͶʵʲ[XXII]

2

ڶͶʵ½[XXIII]

3

ڶͶʵ[XXIV]

XXII
ЩЩЩЩЩЩ

ةۡ۩ա橦ء⩦

ѡéө

ȼ()(ʽ)()()() 

੤੤੤੤੤੤

a 12016 7 1/2 120 0 0

A 60+60=12010+10=20 7 1/2 1503030

B 60+60=12012+12=24 7 1/2 18060230 

C 60+60=12014+14=28 7 1/2 210903	30 

D 60+60=12016+16=32 7 1/2 240 120430 

E 60+60=12018+18=36 7 1/2 270 150530 

੤੤੤੤੤੤

 4501530


813

XXIII
ЩЩЩЩЩЩ

ةۡ۩ա橦ء⩦

ѡéө

ȼ()(ʽ)()()() 

੤੤੤੤੤੤

a 12016 8 120 00 

A 60+60=12010+ 7 1/2=17 1/2 8 1402020

B 60+60=12012+ 9=21 8 1684820+28 

C 60+60=12014+10 1/2=24 1/2 8 19676 20+228 

D 60+60=12016+12=28 8 224 104 20+328 

E 60+60=12018+13 1/2=31 1/2 8 252 132 20+428 

੤੤੤੤੤੤

 380520+1024

XXIII
ЩЩЩЩЩЩ

ةۡ۩ա橦ء⩦

ѡéӡ

ȼ()(ʽ)()()() 

੤੤੤੤੤੤

a 12016 7 1/2 120 00 

A 60+60=12010+12 1/2=22 1/2 7 1/2 168 3/448 3/4 15+33 3/4

B 60+60=12012+15=27 7 1/2 202 1/282 1/215+233 3/4

C 60+60=12014+17 1/2=31 1/2 7 1/2 236 1/4 116 1/415+333 3/4

D 60+60=12016+20=36 7 1/2 270 15015+433 3/4

E 60+60=12018+22 1/2=40 1/2 7 1/2 303 3/4 183 3/415+533 3/4

੤੤੤੤੤੤

 581 1/4515+1533 3/4

814
ϸóµĽۣ

ȣûеõΪ㣬ǡгɱԵõģǾԵ棬ֻĲ۸ÿӢĶֱṩ12345ʽṩ1112131415ʽƷγɵУ01234ʽӦĻҶ

ǣۣͬһϷͶʵܵ˵ǸҪöġ

оʮУܶͶһʱһ10121024240ǣ

һ۸񲻱䣬1ٶ(XII)

ڶ۸½3ٶ(XVIII)

۸ǣһַʽ(A)(XIXXXXXI)

һϡǣ

һ3۸񲻱䣬ٶ(XV)ܶӵ330

ڶַʽ(Aṩ)(XXII⣽1530450XXIII⣽520+1028380XXIV⣽515+1533 3/4581 1/4)

һܶˣǰһͶṩĵһ

815
һ۸񲻱䣬2ڶͶʵʽͣBزȫûеΪ(XIV=46+621150)

ֻǣһغϼƵĵܶڽеڶͶʱͽеһͶʱ(XI)һ⼸УAز뾺BسõءˣBصĵʧҵÿһڵĵⶼ٣ɴ˹涨ġ⼸ǣ

һ2ǣAҪż(XIII)ܶ6201012120ͱXIһ

ڶ1ͱ2ռٶAҲȻż(XVIͱXVII)ܶҲ6201012=120

Ҳ˵пܵУʹ˵ͶӣÿӢĶصĵ⣬رǵܶӡоʮУֻܶ䡣Уġһġõ˳һشλãΪءУõصĵͬһͶʲĵҲˡCĵ24ٵ20ʱDEĵ3644ӵ4060

ܵ½һͶʱĵˮƽ(XI)µΣֻеAغBض˳CòұΪʱǿܵġ

ֻҪѸֵоʹõʱԽ࣬һ

816
ũҵһ˵ҲһԽչÿӢĶĵ͵ܶӵԽ࣬ԳʽߵĹҲԽࡣ

˵˴߽׼Ŀɾκһ׼Ҳ˷ѣκһ׼ҲȨҪһִͳġʺ֡ݳܻӻǮǴģκһ׼ҲԷĴ󵨵ظծܻۡվסţΪϵͶΪṩ⣬ֵԶԶʱҴȡõ

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817
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ԵпĸĿ£

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1ĸˮΪ⡣ɵũҵ⡣

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3ͬһϵͶʲļIIڼIIҪо¸

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BԵ⡣

Cؼ۸

DڵĽۡ

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һ԰ͬķγɡһ棬ԼIΪҲȫũҵʱͶɷͬĸعɵΪΣΪIIͬһϵͶвͬļΪҲ˵ġġ۸ϵĵͶȣнϸߵʣ磬ΪɿС󡣵ǣֳģתΪ⣬ӶũתǾȾͶʵĲֲƷеĲͬʵʵĸ۸(һġг۸޹)ƽΪƽ۸һӢĶƷһõ۸񣬳ĸƽ۸γÿӢĶĵ⣬ΪÿӢĶĳ߶ȡͼI˵ǿģΪڲͬȻֿġ˴˿ϣڼٶÿӢĶб׼ͶԼӦؽб׼ֵγɵġͼII˵ȱɿģʵϱתΪIһֻаķ磬774ҳϵıIII

819
Bصһ2 1/2ͶÿӢĶ2أڶͬͶÿӢĶ1 1/2أͬһӢĶϺϼƲ3 1/2ءͬһز3 1/2һǵһͶʵĲһǵڶͶʵĲʵϣʱ5Ĳʵֻǣһ2 1/2ʱ2أһ5ʱȴǲ4أǲ3 1/2ءʹ54أӶͶʵĲȣ5أӶڶͶʲ1صҲȫһǰ2ص۸ÿ1 1/21 1/2ص۸ÿ23 1/2ܼƵķ6ܲƷĸ۸ƽÿ114 2/7˵ԼΪ1 3/4Aؾһ۸3㣬ÿػ1 1/43 1/2غϼƻ4 3/8Bصƽ۸㣬ĿԼ1 1/2СԣBصĳBһֲƷУ1 1/2УԹֵĵ⣻һ۸㣬ЩҪ4 1/2෴أBһӢĶAһӢĶĳƷǳı֣ҲʣƷı֡ռٶBÿӢĶ3 1/2أAÿӢĶֻ1ءԣBһӢĶĳƷ2 1/2أʣƷȴֻ1 1/2أΪBϵͶʣAϵͶʶһҲһAͬ5Ͷʣʲ䣬ĲƷ2أ1أɴ˿ɼʵʵʣƷ3 1/21Ƚϣ3 1/22ȽϵóġԣʣƷ2 1/2أֻ1 1/2ءΣB

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صĵͶ2 1/2ֻ1أAصһ1Ҫ3ĳۼ۸3ֲֻãֻṩƽ󣬶ṩҲûκβֿתΪ⡣κһÿӢĶĲAÿӢĶĲȽʱȿͬͶʵĲƷǽϴͶʵĲƷҲ׷ӲƷֻ۸񣬻׷ӲƷĲ׷ʱнϸߵʡ

ڶǿµĳγʱ׷ͶʵĽֻõͶʣ˵Ͷ1صķúAһӢĶͬͶ1صķȣռٶ3׷Ͷʵʽʱϵ˵Եó½ۣBÿӢĶͶʲṩĽޣBÿӢĶƷĸƽ۸ǵAÿӢĶ۸ʱﵽġ

B׷ӵͶֻܲ۸񣬶ṩҲγµĵ⣬Ȼÿصĸƽ۸񣬵ӰǰͶγɵĳ⡣Ϊƽ۸ǵAص۸񣬲ҵÿؼ۸ʱͬıӣԼ۸ȫȻ䡣

ٶ£Ͷ5B3 1/2أռٶ1 1/2أ4 1/2еͶ2 1/2ӽȥֻ׷ӵ1أĩ۸(20)4 1/2أ9ÿصƽ۸2ԣBÿصƽ۸1 5/7ӵ2

821
Aصõļ۸ȣÿصĳҲ1 2/7ٵ114 1/24 1/2ǰ1 2/73 1/24 1/2ȫһ

ٶеĴκ͵׷ӵͶʸ2 1/2ͶBϣͶֻǰһ۸1أĩÿӢĶܲھ6 1/2أ15B˵ÿصƽ۸2ӵ2 4/13Aõ۸ˣÿصĳ1ټٵ9/139/13ǰ6 1/2ؼ㣬ǰ4 1/2ؼ㡣9/136 1/214 1/24 1/2

ȣɴ˿Եó½ۣЩ£õ۸񣬾ͿڸṩͶ׷ʱ׷ʱȫṩ󣬶ֻṩƽʱΣɴ˿Եóۣÿصĳô٣ÿӢĶĳܶǲ䣻ּ٣᲻ÿӢĶĿĿӦӶõҪʹƽ۸ߵһ۸ˮƽ(ˣB˵ǵ3)׷ͶʣӶʹ׷ʱĲƷ۸񣬱õ۸3ߡǣǽҲʹBÿصƽ۸ߵһ۸3ȵĳ̶ȡ

ǼٶBأ

1˵۸63 1/2ء2 1/2ͶʣͶʶγɳ󣬲ǰ½ˮƽγɵġ

822
2. ٰ31أͶʵĸ۸񣬺õ۸ȡ

3ٰ41أͶʵĸ۸񣬱õļ۸33 1/3%

10 7/10Ͷʣ13ÿӢĶ5 1/2أͶʶԭͶʶȵһͶʵĲӻ

5 1/2ذ13㣬ÿصƽ۸2 4/11ԣõ۸Ϊ3ʱÿ7/11תΪ⡣õļ۸3ۣ5 1/216 1/2ȥ13г3 1/23 1/2Bÿصƽ۸㣬Ҳǰÿ2 4/11㣬1 25/52ءҵ½1½˴Լ1/2أǣBϵĵĴ׷Ͷʣ󣬶Ҵﲻƽ󣬳͵ȻڡǼٶͶʣҵڶͶҲǰճõ۸ļ۸ģǣ63 1/2+82أܹ145 1/2ءÿصƽ۸2 6/115/115 1/2ذ3ۣ16 1/2ȥ14ã2 1/2Ϊ⡣Bڵƽ۸㣬55/56ءԣܻе⣬Ȼǰ١

Σ׷ͶʵĽϺϵĲƷķóõ۸ʱʵĽǲģȻ٣һҪ

823
ʽϵ͵ʱͶռӦֳɱؼ٣һҪʱʵĽͳɱؼ١ʱĲƷƽ۸ܻǵõļ۸ܻǻ¿תΪĳ

ǼٶĴͶ(2 1/22 1/255)ʵĽͣBÿصƽ۸һ۸һµġ

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1.2 1/2 1/22  1 1/23 3 6 1 3 

2.2 1/2 1/2 1 1/22 3 3  4 1/21/2  1 1/2

3.5 1 1 1/24 6 3  4 1/2-1/2-1 1/2

4.5 11 6 6 3 3 -1-3

Щ੤੤੤੤੤੤੤੤

15  36   18180 0 

ũǰÿصĸ۸ÿһصģԣǰÿصƽ۸иصģƽ۸Ǻõļ۸3һµġԣȻΪ15ʱȡ203ʧÿصĸ۸һ۸ƽʱȥ?

һͶ2 1/2ĳ3ڶͶ2 1/2ĳ1 1/2Ԥʱ 1/35ĳܼΪ4 1/290%

824
Ͷ5ûвĲƷ1 1/2أһ۸ۣ1 1/2ĸ󣬵ĴͶ5ĲƷ1أһ۸ֻۣ3ĸԣͶһ4 1/2ĸͬһκ͵ڶͶʲĳ4 1/2ȡ

Ϳˡˣʧˡʵ֮ԿܣֻΪʣֵγɳҪأѾƽγɡũ⣬15׬320%ƽ

Bĸƽ۸ƽΪAһĵг۸۸ΪǰģǰͶʵĲƷĸ۸õļ۸ĲԽԽΪԺ󼸴ͶʵĲƷĸ۸õļ۸ĲȫǰͶʵĲƷʱΪĶ𽥱Ϊǵƽ۸һ֣ƽγɣֱȫƽա

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ǽһǰҪָһ㡣

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һֻҪ׷ʱóͶͬһϣʹԽԽ½ÿӢĶľԵĹͻҵҲӣȻԵؼԤʱ(ʻ)ή͡һ׷ʱγɵģ׷ʱֻṩƽ󣬻ĲƷĸ۸һ۸һµġЩ£۸񽫲䣬ǱȽϻصڹӶΪࡣ۸½ʱЩ׷ʱһȻȻǽСĳ

826
ڶֻƽ䳬ʣ0׷ͶʣıеĳӶҲıˣϺõÿصĸƽ۸񽫻ߣÿصˣṩ˵ĿȴˣˣߵĻ䡣

׷ͶʵĲƷĸ۸񣬳õļ۸ˣ׷Ͷʵĳʲ0ұСһҲ˵ͬͶõAϵʻСĩ׷ͶʾͻʹϺصܲƷĸƽ۸ԽԽӽһ۸ԽԽٶ߼γɳĲԭγɳĶԽԽؼƽγɡͶBһӢĶϵʱṩȻʲʱӶ٣һᰴʲĳ̶ȶ١ʱӣʱÿӢĶĵ⽫½ڵڶֻԵؼͬͶʵȻ½

ֻеϺBܲƷĸƽ۸õļ۸һʱŻʧʱʽϸߵǰͶʵĳ󣬾ͻȫƽγɡ

ÿӢĶ½ԵʧΪͽ޵ġǣʧǷ׷Ͷòʽʱ򣬶Ƿ£ʲ׷ͶѾܶ࣬ǵԵǰͶʵĳʣͶʱʾAصʱȣBÿصĸƽ۸񾹺Aÿصĸƽ۸ȡ

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827
ÿ3Ȼ䡣ֻǻ׷ʱʲĳ̶Ѿӣͬ׷ʱѾӴ󣬲űȻʹ۸߳һ㡣磬ǰ824ҳǸڣͬһϰÿ4ı׼2 1/2أ1 1/2أĩϼ7صþ22ÿصķþ3 1/7һ۸1/7ˣһ۸ߡ

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£ϺصĵʧʱǵĲƷĸƽ۸ֻһ۸һ£һ۸ԲҪߡ

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 5 1 6 1 63 3 3 

੤੤੤੤੤੤੤੤

15 31818 4 1/2 4 1/2

ǰͶ3 1/2صãũ˵ͬÿ3ΪҪ֧4 1/2ĵ⡣ʱĸ۸һ۸֮ĲͲˣ˵ǰͶʵĲƷļ۸ֲͶʺ͵ĴͶʲϵĲ㡣

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Ͷ1 1/2صķãũ˵6()õļ۸Ϊÿ3ʱֻܰ1 1/24 1/2ԣʧȫ󣬶ҳ⻹Ҫʧ1/2Ͷʱ510͵Ͷ˵ʱʧ1 1/2͵ĴͶ˵ʱʧ3ϼ4 1/2ǡúǰνϺõͶʵĵȡǰͶʵĸ۸񣬲ΪƽأӵBܲƷĸƽ۸ϣΪҪΪ⽻һˡ

ΪҪбҪɵͶ׷ӵ1 1/2أõг۸ͱǵÿ4õг۸ߣBĵһͶʺ͵ڶͶʵĵ⽫ӣAҲṩ⡣

ˣȻֻǳ󵽵һʽϵתȨֻʹܹѳũתԼǻǻ֣ᷢͬһϵͶʣ˵ͬһؿͶʵӣʱ½õļ۸񲻱ʱöشﵽĽޣ˵ڳ󵽵Ĵʽϵת(ȨĽ)ʵϴﵽһֻΪĽޡˣһ۸(ڱһСĽǱҪ)Ǽǵԭ򣬶ҼΪĴͬʱһ۸硢Ѹٵ(Ա㱣֤ѳΪҪ׷ӲƷĹ)ԭ

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