椷榓俆擭俁寧俈擔

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丂丂戞423悢妛揑側楢懕墳曞夝摎

丂丂丂丂亙夝摎曞廤婜娫丗俀寧俆擔乣俁寧俆擔亜

乵忚梋偺廃婜惈乶

惍幃f(x)亖倶傪惍幃P(x)偱妱偭偨彜傪Q(x)丆梋傝傪R(x)偲偡傞丅

偨偩偟丆倣丆値偼帺慠悢丆Q(x)0傕壜偲偡傞丅

栤侾丂倣亖2023偺偲偒丆師偺栤偵摎偊傛丅

乮侾乯P(x)亖倶亄侾偺偲偒丆R(x)傪媮傔傛丅

乮俀乯P(x)亖倶亄倶亄侾偺偲偒丆R2(x)傪媮傔傛丅

乮俁乯P(x)亖倶亄倶亄倶亄侾偺偲偒丆R3(x)傪媮傔傛丅

乮係乯P(x)亖倶亄倶亄侾偺偲偒丆R4(x)傪媮傔傛丅

乮俆乯P(x)亖倶亄侾偺偲偒丆R5(x)傪媮傔傛丅

乮俇乯P(x)亖倶亄倶亄倶亄倶亄侾偺偲偒丆R(x)傪媮傔傛丅

 

栤俀丂R(x)偺廃婜惈傪敪尒偟偰丆師偺栤偵摎偊傛丅

乮侾乯R(x)R(x)偲側傞倣偺抣傪媮傔傛丅

乮俀乯R(x)R(x)偲側傞倣偺抣傪媮傔傛丅

乮俁乯R(x)R(x)偲側傞倣偺抣傪媮傔傛丅

乮係乯R(x)R(x)偲側傞倣偺抣傪媮傔傛丅

乮俆乯R(x)R(x)R(x)R(x)偲側傞倣偺抣傪媮傔傛丅

乮俇乯R(x)R(x)R(x)R(x)R(x)偲側傞倣偺抣傪媮傔傛丅

乮俈乯R(x)R(x)R(x)R(x)R(x) R(x)偲側傞倣偺抣傪媮傔傛

 

嶲峫偵偟偨夁嫀偺戝妛擖帋栤戣偱偡丅

2021擭憗堫揷戝妛偱偼x2021x乗倶亄侾偱妱偭偨梋傝傪媮傔傛丅

2004擭戝暘戝妛偱偼値傪惓偺惍悢偲偡傞丅惍幃倶傪倶亅侾偱妱偭偨梋傝傪媮傔傛丅

 

捛壛栤戣侾乮弌戣幰偼乽僕儑乕僇乕乿乯

417夞偐傜偺乽惓嶰妏宍偺曈傗墌屖偵傛偭偰埻傑傟偨恾宍撪偺係墌乿

僔儕乕僘偺戞俆栤栚偵側傝傑偡丅

 

捛壛栤戣俀

恾偺傛偆偵丆墌O偵俀捈慄PACPBD偑悅捈偵岎傢偭偰偄傞偲偒丆仮OAB偲仮OCD偺柺愊偑摍偟偄偙偲傪徹柧偣傛丅

偨偩偟丆揰P偼墌奜偵偁傝丆揰O偼墌O偺拞怱偲偡傞丅

424zu弌揟乽僷僘儖偱傂傜傔偔曗彆慄偺婔壗妛乿拞懞媊嶌挊丂

BLUE BACKS

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

NO1乽僕儑乕僇乕乿    02/04    丂丂 1703     庴怣  峏怴 3/5

崱擔偺帪揰偱栤戣偑Up偝傟偰偄偨偺偱丆墳曞偟傑偡丅

 

婑偣傜傟偨栤戣偺夝摎

 

乽僕儑乕僇乕乿    02/04    丂丂 1851     庴怣  峏怴 3/5

婑偣傜傟偨捛壛栤戣偺夝摎

 

乽僕儑乕僇乕乿    02/08    丂丂 0605     庴怣  峏怴 3/5

婑偣傜傟偨嶲峫偵偟偨戝妛擖帋栤戣偺夝摎

 

NO2kasama乿          02/07         0004暘丂   庴怣  峏怴 3/5

婑偣傜傟偨栤戣偺夝摎

 

kasama乿          02/08         0137暘丂   庴怣  峏怴 3/5

婑偣傜傟偨捛壛栤戣偺夝摎

 

 

NO3乽僗儌乕僋儅儞乿    02/07         2001暘丂   庴怣  峏怴 3/5

捛壛栤戣侾乮弌戣幰偼乽僕儑乕僇乕乿乯

417夞偐傜偺乽惓嶰妏宍偺曈傗墌屖偵傛偭偰埻傑傟偨恾宍撪偺係墌乿

僔儕乕僘偺戞俆栤栚偵側傝傑偡丅丂

 

夞摎

12偺惓嶰妏宍偺拞偺11偺惓嶰妏宍偱乧

奜懁偺戝偒側惓嶰妏宍偺崅偝=3

捀揰偐傜廳怱傑偱偺嫍棧=(23/3)

So乧峛偺敿宎R=23/3-1=(23-3)/3=0.1547

壋偺敿宎傪r偲偡傞偲乧

曽傋偒偺掕棟傛傝乧

(3/3-R-r)^2=r*(2+r)

((3-3)/3-r)^2=r*(2+r)

(3-3)^2/9=(2+2(3-3)/3)*r

r=(9-43)/33=0.062

 

捛壛栤戣俀

恾偺傛偆偵丆墌O偵俀捈慄PACPBD偑悅捈偵岎傢偭偰偄傞偲偒丆仮OAB偲仮OCD偺柺愊偑摍偟偄偙偲傪徹柧偣傛丅

偨偩偟丆揰P偼墌奜偵偁傝丆揰O偼墌O偺拞怱偲偡傞丅

 

 

 

 

 

乽僗儌乕僋儅儞乿    02/12         1902暘丂   庴怣  峏怴 3/5

 

1

 

(6P(x)亖倶係亄倶俁亄倶俀亄倶亄侾偺偲偒丆R(x)傪媮傔傛丅

f(x)=x^2023=(x^5-1)/(x-1)*Q(6)+a*x^3+b*x^2+c*x+d

x^5-1=0 1埲奜偺崻偺堦偮傪z偲偡傞乧

f(z)=z^3=a*z^3+b*z^2+c*z+d

so乧a=1,b=c=d=0

so乧

R6(x)=x^3

懠傕摨偠傛偆偵峫偊傟偽乧

(1)          P(x)亖倶俀亄侾偺偲偒丆R(x)傪媮傔傛丅

f(x)=x^2023=(x^4-1)/(x^2-1)*Q(1)(x)+a*x+b

f(z)=z^3=-z=a*z+b

so乧R1(x)=-x

 

(2)          P(x)亖倶俀亄倶亄侾偺偲偒丆R2(x)傪媮傔傛丅

f(x)=x^2023=(x^2+x+1)*Q(2)(x)+a*x*b

                     =(x^3-1)/(x-1)*Q2(x)+a*x+b

z^3=1

f(z)=z=a*z+b

so乧a=1,b=0

so乧R2(x)=x

 

(3)          P(x)亖倶俁亄倶俀亄倶亄侾偺偲偒丆R3(x)傪媮傔傛丅

f(x)=(x^3+x^2+x+1)*Q3(x)+a*x^2+b*x+c

      =(x^4-1)/(x-1)*Q3(x)+a*x^2+b*x+c

z^4=1

f(z)=z^3=a*z^2+b*z+c=-z^2-z-1

so乧

R3(x)=-x^2-x-1

 

(4)          P(x)亖倶係亄倶俀亄侾偺偲偒丆R4(x)傪媮傔傛丅

f(x)=(x^4+x^3+x^2+x+1)*Q4(x)+a*x^3+b*x^2+c*x+d

       =(x^6-1)/(x^2-1)*Q4(x)+a*x^3+b*x^2+c*x+d

z^6=1

f(z)=z=a*z^3+b*z^2+c*z+d

so乧

R4(x)=x

 

(5)          P(x)亖倶係亄侾偺偲偒丆R5(x)傪媮傔傛丅

f(x)=(x^4+1)*Q5(x)+a*x^3+b*x^2+c*x+d

(x^8-1)/(x^4-1)*Q5(x)+a*x^3+b*x^2+c*x+d

z^4=-1

f(z)=(z^4)^(505)*z^3=-z^3=a*z^3+b*z^2+c*z+d

so乧

R5(x)=-x^3

 

 

乽僗儌乕僋儅儞乿    02/20         2052暘丂   庴怣  峏怴 3/5

 

2

 

堄枴偑傛偔捦傔側偄偺偱偡偑乧

忋偺栤戣偵帵偝傟偰偄傞傕偺偱峫偊傞偲乧

P(x)亖倶俀亄侾

P(x)亖倶俀亄倶亄侾

P(x)亖倶俁亄倶俀亄倶亄侾

P(x)亖倶係亄倶俀亄侾

P(x)亖倶係亄侾

P(x)亖倶係亄倶俁亄倶俀亄倶亄侾

 

21R(x)R(x)偲側傞倣偺抣傪媮傔傛丅

4,4偺嵟彫岞攞悢

埲壓丄k傪帺慠悢偲偡傞

So乧m=4k

 

22R(x)R(x)偲側傞倣偺抣傪媮傔傛丅

3,6偺嵟彫岞攞悢

So乧m=6k

 

23R(x)R(x)偲側傞倣偺抣傪媮傔傛丅

4,8偺嵟彫岞攞悢

So乧m=8k

 

24R(x)R(x)偲側傞倣偺抣傪媮傔傛丅

6,5偺嵟彫岞攞悢

So乧m=30k

 

25R(x)R(x)R(x)R(x)偲側傞倣偺抣傪媮傔傛丅

4,3,4,6偺嵟彫岞攞悢

So乧m=12k

 

26R(x)R(x)R(x)R(x)R(x)偲側傞倣偺抣傪媮傔傛丅

4,3,4,6,8 偺嵟彫岞攞悢

So乧m=24k

 

27R(x)R(x)R(x)R(x)R(x) R(x)偲側傞倣偺抣傪媮傔傛丅

4,3,4,6,8,5偺嵟彫岞攞悢

So乧m=120k

亙悈偺棳傟丗忚梋偑堦抳偡傞応崌偼懠偵傕偁傝傑偡丅亜

 

乽僗儌乕僋儅儞乿    02/22         1057暘丂   庴怣  峏怴 3/5

2

忋偺栤1偵帵偝傟偰偄傞傕偺偱峫偊傞偲乧偁傑傝偺廃婜偼...

P(x)亖倶俀亄侾丒丒丒(x^4-1)/(x^2-1)丒丒丒x,-1,-x,1 4廃婜

P(x)亖倶俀亄倶亄侾丒丒丒(x^3-1)/(x-1)丒丒丒x,x^2=-x-1,1 3廃婜

P(x)亖倶俁亄倶俀亄倶亄侾丒丒丒(x^4-1)/(x-1)丒丒丒x,x^2,(-x^2-x-1),1 4廃婜

P(x)亖倶係亄倶俀亄侾丒丒丒(x^6-1)/(x^2-1)丒丒丒x,x^2,x^3,(-x^2-1),(-x^3-x),1 6廃婜

P(x)亖倶係亄侾丒丒丒(x^8-1)/(x^4-1)丒丒丒x,x^2,x^3,-1,-x,-x^2,-x^3,1 8廃婜

P(x)亖倶係亄倶俁亄倶俀亄倶亄侾丒丒丒(x^5-1)/(x-1)丒丒丒x,x^2,x^3,(-x^3-x^2-x-1),1 5廃婜

 

21R(x)R(x)偲側傞倣偺抣傪媮傔傛丅

4,4偺嵟彫岞攞悢 4

埲壓丄k傪帺慠悢偲偡傞

x,1偑摨偠側偺偱乧

Som=4k-1,4k

 

22R(x)R(x)偲側傞倣偺抣傪媮傔傛丅

P(x)亖倶俀亄倶亄侾丒丒丒(x^3-1)/(x-1)丒丒丒x,(-x-1),1

P(x)亖倶係亄倶俀亄侾丒丒丒(x^6-1)/(x^2-1)丒丒丒x,x^2,x^3,(-x^2-1),(-x^3-x),1

x,1偑摨偠側偺偱乧

3,6偺嵟彫岞攞悢 6

Som=6k-5,6k

 

23R(x)R(x)偲側傞倣偺抣傪媮傔傛丅

P(x)亖倶俁亄倶俀亄倶亄侾丒丒丒(x^4-1)/(x-1)丒丒丒x,x^2,(-x^2-x-1),1

P(x)亖倶係亄侾丒丒丒(x^8-1)/(x^4-1)丒丒丒x,x^2,x^3,-1,-x,-x^2,-x^3,1

X,x^2,1偑摨偠

4,8偺嵟彫岞攞悢 8

Som=8k-7,8k-6,8k

 

24R(x)R(x)偲側傞倣偺抣傪媮傔傛丅

P(x)亖倶係亄倶俀亄侾丒丒丒(x^6-1)/(x^2-1)丒丒丒x,x^2,x^3,(-x^2-1),(-x^3-x),1

P(x)亖倶係亄倶俁亄倶俀亄倶亄侾丒丒丒(x^5-1)/(x-1)丒丒丒x,x^2,x^3,(-x^3-x^2-x-1),1

x,x^2,x^3,1偑摨偠乧

6,5偺嵟彫岞攞悢 30

Som=30k-29,30k-28,30k-27,30k

 

25R(x)R(x)R(x)R(x)偲側傞倣偺抣傪媮傔傛丅

P(x)亖倶俀亄侾丒丒丒(x^4-1)/(x^2-1)丒丒丒x,-1,-x,1

P(x)亖倶俀亄倶亄侾丒丒丒(x^3-1)/(x-1)丒丒丒x,x^2=-x-1,1

P(x)亖倶俁亄倶俀亄倶亄侾丒丒丒(x^4-1)/(x-1)丒丒丒x,x^2,(-x^2-x-1),1

P(x)亖倶係亄倶俀亄侾丒丒丒(x^6-1)/(x^2-1)丒丒丒x,x^2,x^3,-x^2-1,-x^3-x,1

x,1 偑摨偠乧

4,3,4,6偺嵟彫岞攞悢 12

Som=12k-11,12k

 

26R(x)R(x)R(x)R(x)R(x)偲側傞倣偺抣傪媮傔傛丅

P(x)亖倶俀亄侾丒丒丒(x^4-1)/(x^2-1)丒丒丒x,-1,-x,1

P(x)亖倶俀亄倶亄侾丒丒丒(x^3-1)/(x-1)丒丒丒x,x^2=-x-1,1

P(x)亖倶俁亄倶俀亄倶亄侾丒丒丒(x^4-1)/(x-1)丒丒丒x,x^2,(-x^2-x-1),1

P(x)亖倶係亄倶俀亄侾丒丒丒(x^6-1)/(x^2-1)丒丒丒x,x^2,x^3,-x^2-1,-x^3-x,1

P(x)亖倶係亄侾丒丒丒(x^8-1)/(x^4-1)丒丒丒x,x^2,x^3,-1,-x,-x^2,-x^3,1

x,1偑摨偠乧

4,3,4,6,8 偺嵟彫岞攞悢 24

Som=24k-23,24k

 

27R(x)R(x)R(x)R(x)R(x)R(x)偲側傞倣偺抣傪媮傔傛丅

P(x)亖倶俀亄侾丒丒丒(x^4-1)/(x^2-1)丒丒丒x,-1,-x,1

P(x)亖倶俀亄倶亄侾丒丒丒(x^3-1)/(x-1)丒丒丒x,x^2=-x-1,1

P(x)亖倶俁亄倶俀亄倶亄侾丒丒丒(x^4-1)/(x-1)丒丒丒x,x^2,(-x^2-x-1),1

P(x)亖倶係亄倶俀亄侾丒丒丒(x^6-1)/(x^2-1)丒丒丒x,x^2,x^3,-x^2-1,-x^3-x,1

P(x)亖倶係亄侾丒丒丒(x^8-1)/(x^4-1)丒丒丒x,x^2,x^3,-1,-x,-x^2,-x^3,1

P(x)亖倶係亄倶俁亄倶俀亄倶亄侾丒丒丒(x^5-1)/(x-1)丒丒丒x,x^2,x^3,(-x^3-x^2-x-1),1

x,1偑摨偠乧

4,3,4,6,8,5偺嵟彫岞攞悢 120

Som=120k-119,120k

 

NO4乽傛傆偐偟偺偮傜偄偍偠偝傫乿2/13  1720     庴怣  峏怴 3/5

 

1

仠 奺Pn(x)0偲偡傞倶傪挷傋傑偡丅

 

 -1偺暯曽崻乯

 

 (1偺棫曽崻偱1偱側偄傕偺)

 

 (14忔崻偱1偱側偄傕偺)

 

 

(13忔崻偱1偱側偄傕偺偲丄-13忔崻偱 -1偱側偄傕偺

偮傑傝丄16忔崻偱亇1偱側偄傕偺)

 

 -14忔崻乯

 

P6(x)0偲偡傞倶偼丄15忔崻偱丄1埲奜偺傕偺偱偡丅

360572側偺偱丄 偱偡丅乮k1,2,3,4

丂偨偩偟丄偙傟偱寁嶼偡傞偲柺搢偱偡丅

 

 

  偲側傞  傪戙擖偟傑偡丅

 

偡傞偲丄

 

偙偺屻偼丄偙偺壓慄偺幃(*)偱峫偊傑偡丅

 

 

(1)     偼丄4忔偡傞偲丄1偵側傞偺偱丄

 

傑偨丄 偼丄2師幃側偺偱丄 偲偟傑偡丅

 

 

(2)     偼丄3忔偡傞偲丄1偵側傞偺偱丄

 

傑偨丄 偼丄2師幃側偺偱丄 偲偟傑偡丅

 

 

(3)     偼丄4忔偡傞偲丄1偵側傞偺偱丄

 

傑偨丄 偼丄3師幃側偺偱丄 偲偟傑偡丅

 

 

(4)     偼丄6忔偡傞偲丄1偵側傞偺偱丄

 

傑偨丄 偼丄4師幃側偺偱丄 偲偟傑偡丅

 

 

(5)     偼丄8忔偡傞偲丄1偵側傞偺偱丄

 

傑偨丄 偼丄4師幃側偺偱丄 偲偟傑偡丅

 

 

(6)     偱偡丅

 傪堦傑偲傔偵偟偰峫偊傑偡丅

 側偺偱丄

傑偢丄  偱妱傞偙偲傪峫偊傑偡丅

 

偲偡傞偲丄1師幃  偱妱傞偺偱丄梋傝R偼掕悢偵側傝傑偡丅

 

 偲偡傞偲丄

 

備偊偵丄

 

椉曈傪 攞偡傞偲丄

 

偲側傞偺偱丄梋傝  偱偡丅

 

乽傛傆偐偟偺偮傜偄偍偠偝傫乿2/14  2005   庴怣  峏怴 3/5

 

2

Pn(x)0偲偡傞倶偼丄1偺傋偒忔崻側偺偱丄 偺抣偼廃婜揑偵摨偠抣傪孞傝曉偟傑偡丅

倣亖1偺偲偒偼丄 偱偡丅

 

       0偲偡傞 偼丄4忔偡傞偲丄1偵側傝傑偡丅

 偼丄倣偑4憹偊傞偲摨偠抣傪偲傝傑偡丅

  (*)偺幃  偱峫偊傑偡丅

 

 

 偼丄 傪孞傝曉偟傑偡丅

 

 

仠忋偺傗傝曽偼丄応崌偺悢偑懡偔寁嶼偑柺搢偱偡丅

暿偺曽朄傪峫偊傑偡丅

 

 0偲偡傞 偼丄4忔偡傞偲丄1偵側傝傑偡丅

偮傑傝丄 偼丄倣偑4憹偊傞偲摨偠抣傪偲傝傑偡丅

 

 偺宍傪峫偊傑偡丅

倣偑1偐傜巒傔偰丄倶攞偟偰偄偔偲丄

 

 

偮傑傝丄 偼丄 傪孞傝曉偟傑偡丅

忋偺寢壥偲摨偠偵側傝傑偟偨丅

 

 0偲偡傞 偼丄3忔偡傞偲丄1偵側傝傑偡丅

偮傑傝丄 偼丄倣偑3憹偊傞偲摨偠抣傪偲傝傑偡丅

 

 偺宍偵曄宍偡傞偲丄

倣偑1偐傜巒傔偰丄倶攞偟偰偄偔偲丄

 

 

偮傑傝丄 偼丄 傪孞傝曉偟傑偡丅

 

 

 0偲偡傞 偼丄4忔偡傞偲丄1偵側傝傑偡丅

偮傑傝丄 偼丄倣偑4憹偊傞偲摨偠抣傪偲傝傑偡丅

 

 偺宍偵曄宍偡傞偲丄

倣偑1偐傜巒傔偰丄倶攞偟偰偄偔偲丄

 

 

偮傑傝丄 偼丄 傪孞傝曉偟傑偡丅

 

 0偲偡傞 偼丄6忔偡傞偲丄1偵側傝傑偡丅

偮傑傝丄 偼丄倣偑6憹偊傞偲摨偠抣傪偲傝傑偡丅

乮冎偼丄倣偑3憹偊傞偲摨偠抣傪偲傝傑偡偑乯

 

 偺宍偵曄宍偡傞偲丄

倣偑1偐傜巒傔偰丄倶攞偟偰偄偔偲丄