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СW(xu)֪R

r(sh)g2024-11-01 19:34:09 С ҪͶ

2017СW(xu)֪RR

6СW(xu)W(xu)I(y)ó˰ְ֋o(w)ҹѪͬW(xu)Ђ]˟o(w)Ŭĺˮ@yjbysС҅RСԇW(xu)֪Rc(din)ϣ҂俼СЎŶ~

2017СW(xu)֪RR

1g(wn)}

كɂ(g)˵gDz׃;

ڃɂ(g)˵gͬr(sh)ӻͬr(sh)pٵ;

ۃɂ(g)˵gıǰl(f)׃;

2ֲ(sh)(wn)}Y

(li)ͣ

ֱ(xin)߲](xin)ֲ(sh)ɶ˶ֲ(sh);

ֱ(xin)߲](xin)ֲ(sh)ɶ˶ֲ(sh);

ֱ(xin)߲](xin)ֲ(sh)ֻһֲ(sh)

3uͬ\(wn)}

uͬ\(wn)}ַQ(chng)ÓQ(wn)}O(wn)}ǰѼOeDzÓQ(li);

˼·

 OOijNF(׺һӻҺͼһ)

ڼOl(f)˺}ĿlͬIJҳ@(g)Ƕ;

ÿ(g)ɵIJǹ̶ĶҳF@(g)ԭ;

ٸ@ɂ(g)m{ȥFIJ

ʽ

ٰuOӣu=(_×^-_)÷(_-u_)

ڰӼOuÔ=(_һu_×^)÷(_һu_)

P(gun)I(wn)}ҳIJcλIJ

4ӯ̝(wn)}

һČijN˜ʷֽMa(chn)һNYһN˜ʷֽM֮a(chn)һNYڷֽMĘ˜ʲͬɽYIJP(gun)ϵֽMĽMĿ

˼·ȌɷN䷽M(jn)б^ژ˜ʵIJɽY׃@(g)P(gun)ϵӷĿݔȻ}Ŀ.

һһβ;

ʽݔ=(+㔵)÷ɴÿݔIJ

ڮɴζ;

ʽݔ=(^-^С)÷ɴÿݔIJ

ۮɴζ;

ʽݔ=(^㔵-^С㔵)÷ɴÿݔIJ

c(din)ͿĽMDz׃

P(gun)I(wn)}_ͿĽM

5ţԲ݆(wn)}

˼·Oÿ^ţԲݵٶȞ“1”ɴβͬijԷеĿIJ;ҳ@Nԭɴ_ݵL(chng)ٶȺͿ

c(din)ԭ²L(chng)ٶDz׃;

P(gun)I(wn)}_ɂ(g)׃

ʽ

L(chng)=(^L(chng)r(sh)g×L(chng)r(sh)gţ^-^̕r(sh)g×̕r(sh)gţ^)÷(L(chng)r(sh)g-̕r(sh)g);

=^L(chng)r(sh)g×L(chng)r(sh)gţ^-^L(chng)r(sh)g×L(chng)

6ƽ(wn)}

ʽ

ƽ=÷ݔ

=ƽ×ݔ

ݔ=÷ƽ

ƽ=ʔ+ÿһ(g)cʔĺ÷ݔ

ԼݔûʽٻM(jn)Ӌ

(ʔoĔ֮gP(gun)ϵ_һ(g)ʔ;һxcД^ӽĔgʔ;Իʔ˜нocʔIJ;вĺ;@Щƽ;@(g)ƽͻʔĺƽwP(gun)ϵҊ(jin)ʽ)

7 ѭh(hun)

ѭh(hun)cҎ

ڬF\(dng)׃^(gu)ijЩҎѭh(hun)F

ڣ҂BmɴγF(jng)^(gu)ĕr(sh)g

P(gun)I(wn)}_ѭh(hun)

c ꣺һ366;

ܱ4;ܱ100tݱܱ400;

ƽ ꣺һ365

 ݲܱ4;ܱ100ܱ400

8ԭ

ԭtһ(n+1)(g)wn(g)ôһ(g)ٷ2(g)w

4(g)w3(g)Ҳǰ4ֽ(g)ĺôķNr

4=4+0+0 4=3+1+0 4=2+2+0 4=2+1+1

^(gun)ķNwķʽ҂(hu )l(f)Fһ(g)ͬc(din)ôһ(g)2(g)2(g)wҲf(shu)һ(g)ٷ2(g)w

ԭtn(g)wm(g)n>môһ(g):

k=[n/m ]+1(g)wnܱmr(sh)

k=n/m(g)wnܱmr(sh)

֪Rc(din)[X]ʾ^(gu)X

[4.351]=4;[0.321]=0;[2.9999]=2;

P(gun)I(wn)}wͳҲҵwͳϵԭtM(jn)\

9x\

ȲУһДɂ(g)IJһ@ӵһДͽȲ

헣Ȳеĵһ(g)һa1ʾ;

헔ȲеДĂ(g)һnʾ;

ɂ(g)IJһdʾ;

ͨ헣ʾÿһ(g)Ĺʽһanʾ;

еĺͣ@һȫֵĺһSnʾ.

˼·Ȳ漰傀(g)a1 ,an,d, n, sn,,ͨ헹ʽ漰Ă(g)֪(g)ͿĂ(g);͹ʽ漰Ă(g)֪(g)Ϳ@Ă(g)

ʽͨ헹ʽan = a1+(n-1)d;

ͨ=+(헔һ1) ×;

к͹ʽsn,= (a1+ an)×n÷2;

к=(+ĩ)×헔÷2;

헔ʽn= (an- a1)÷d+1;

헔=(ĩ-)÷+1;

ʽd =(an-a1))÷(n-1);

=(ĩ-)÷(헔-1);

P(gun)I(wn)}_֪δ֪_ʹõĹʽ

10ӷ˷ԭ͎׺Ӌ

ӷԭһ΄(w)n(li)ڵһ(li)m1Nͬڵڶ(li)m2Nͬ……ڵn(li)mnNͬô@΄(w)Уm1+ m2....... +mnNͬķ

P(gun)I(wn)}_ķ(li)

ÿһN΄(w)

˷ԭһ΄(w)Ҫֳn(g)EM(jn)1m1Nܵ1һN2m2N……ǰn-1ķNnmnNô@΄(w)Уm1×m2....... ×mnNͬķ

P(gun)I(wn)}_ɲE

ÿһֻ΄(w)һ

ֱ(xin)һc(din)ֱ(xin)gһ෴\(dng)γɵ܉E

ֱ(xin)c(din)](mi)жc(din)](mi)L(chng)

(xin)Σֱ(xin)c(din)gľx@c(din)жc(din)

(xin)c(din)Ѓɂ(g)c(din)L(chng)

侀(xin)ֱ(xin)һ˟o(w)L(chng)

侀(xin)c(din)ֻһ(g)c(din);](mi)L(chng)

ٔ(xin)Ҏɣ=1+2+3+…+(c(din)-1);

ڔҎ=1+2+3+…+(侀(xin)-1);

۔L(chng)Ҏɣ(g)=L(chng)ľ(xin)Δ׾(xin)Δ

ܔL(chng)Ҏɣ(g)=1×1+2×2+3×3+…+Д×Д

11 |(zh)cϔ

|(zh)һ(g)1֮](mi)Єeļs@(g)|(zh)Ҳؔ

ϔһ(g)1֮߀Єeļs@(g)ϔ

|(zh)򔵣ij(g)|(zh)ij(g)ļsô@(g)|(zh)@(g)|(zh)

ֽ|(zh)򔵣һ(g)|(zh)˵ʽʾ(li)ֽ|(zh)ͨöֽ̳|(zh)κһ(g)ϔֽ|(zh)򔵵ĽYΨһ

ֽ|(zh)򔵵Ę˜ʱʾʽN= a1a2a3……anǺϔN|(zh)a1……

s(g)ĹʽP=(r1+1)×(r2+1)×(r3+1)×……×(rn+1)

|(zh)ɂ(g)󹫼s1@ɂ(g)|(zh)

12 sc

sͱa܉babıbͽaļs

sׂ(g)еļs@ׂ(g)Ĺs;һ(g)@ׂ(g)󹫼s

󹫼s|(zh)

1ׂ(g)󹫼sõĎׂ(g)ǻ|(zh)

2ׂ(g)󹫼s@ׂ(g)ļs

3ׂ(g)Ĺs@ׂ(g)󹫼sļs

4ׂ(g)һ(g)Ȼmõķe󹫼s@ׂ(g)󹫼sm

磺12ļs1234612;

18ļsУ1236918;

ô1218ĹsУ1236;

ô1218Ĺsǣ6ӛ(1218)=6;

󹫼s

1ֽ|(zh)򔵷ȷֽ|(zh)ȻͬB(li)

2̳ҹеļsȻ

3ݚDÿһζó܉ǂ(g)󹫼s

ׂ(g)еı@ׂ(g)Ĺ;Сһ(g)@ׂ(g)С

12ıУ12243648……;

18ıУ18365472……;

ô1218ĹУ3672108……;

ô1218СĹ36ӛ[1218]=36;

С|(zh)

1ɂ(g)⹫Сı

2ɂ(g)󹫼scСij˷e@ɂ(g)ij˷e

С1̳С;2ֽ|(zh)򔵵ķ

13 

һͷ̖

1һ(g)aһ(g)Ȼbõһ(g)cқ](mi)ôaܱbbaӛb|a

2÷̖̖“|”̖“ ”;̖“”Եķ̖“∴”;

Д෽

1. ܱ25ĩλϵĔܱ25

2. ܱ425ĩλĔMɵĔܱ425

3. ܱ8125ĩλĔMɵĔܱ8125

4. ܱ39(g)λϔֵĺܱ39

5. ܱ7

ĩλϔMɵĔcĩλǰĔMɔܱ֮7

ȥһλֲpȥĩλֵ2ܱ7

6. ܱ11

ĩλϔMɵĔcĩλǰĔMɵĔܱ֮11

攵λϵĔֺcżλĔֺ͵IJܱ11

ȥһλֲpȥĩλֺܱ11

7. ܱ13

ĩλϔMɵĔcĩλǰĔMɵĔܱ֮13

ȥһλֲpȥĩλֵ9ܱ13

|(zh)

1. abܱcô(a+b)c(a-b)Ҳܱc

2. aܱbcôacҲܱb

3. aܱbbܱcôaҲܱc

4. aܱbcôaҲܱbcС

14 䑪

|(zh)

Сڳ

abcͬtc|a-bc|b-a

acbĺͳcacbcĺͳc

acbķecaccbcķec

ͬc

һͬĶx

ɂ(g)abmͬtQ(chng)abģmͬ

֪(g)abmm|a-bͷQ(chng)abģmͬӛa≡b(mod m)xaͬbģm

ͬ|(zh)

ԣa≡a(mod m);

ڌQ(chng)ԣa≡b(mod m)tb≡a(mod m);

ۂfԣa≡b(mod m)b≡c(mod m)ta≡ c(mod m);

ܺͲԣa≡b(mod m)c≡d(mod m)ta+c≡b+d(mod m)a-c≡b-d(mod m);

ԣa≡ b(mod m)c≡d(mod m)ta×c≡ b×d(mod m);

޳˷ԣa≡b(mod m)tan≡bn(mod m);

ͬ:a≡ b(mod m)cta×c≡ b×c(mod m×c);

P(gun)ڳ˷A֪R

A=a×btMA=Ma×b=(Ma)b

B=c+dtMB=Mc+d=Mc×Md

3911

һ(g)ȻMnʾMĸ(g)λϔֵĺtM≡n(mod 9)(mod 3);

һ(g)ȻMXʾMĸ(g)攵λϔֵĺYʾMĸ(g)żλϔֵĺtM≡Y-XM≡11-(X-Y)(mod 11);

MRСp|(zh)(ؔ)aȻaܱptap-1≡1(mod p)

15֔cٷ֔đ

c|(zh)

֔цλ“1”ƽֳɎ׷ʾ@ӵһݻ׷ݵĔ

֔|(zh)֔ķӺͷĸͬr(sh)ԻͬĔ(0)֔ĴС׃

֔λцλ“1”ƽֳɎ׷ʾ@һݵĔ

ٷ֔ʾһ(g)һ(g)ٷ֮׵Ĕ

÷

 ˼S}Ŀṩlķ(Y)M(jn)˼

 ˼Sҳ}ĿоwcռʵֱӌP(gun)ϵ

D˼Sһ(li)}Dһ(li)}M(jn)нҊ(jin)DQɱDQɱP(gun)ϵ;ѲͬĘ˜(ڷ֔һָһ)µķDͬһlµķҊ(jin)̎Ǵ_ͬĘ˜ʞһ

ܼO˼S˽}ķ԰}ĿвȵOȻ߼OijNrӋĽYȻM(jn){Y

׃˼S׃ĸ(g)һ(g)Dz׃Փ׃@(g)ʼK̶׃NrAl(f)׃׃Bl(f)׃еķ׃Cͷl(f)׃֮gIJ׃

Q˼SһNһNĶʹP(gun)ϵһP(gun)ϵʻ

ͬʷͷ֮gͬ׃ҎM(jn)̎

ȷһ㑪ڿͷl(f)׃Ġr

16 ֔Сı^

ַͨӷʹз֔ķͬͬӷ֔СͷĸP(gun)ϵ^

ַͨĸʹз֔ķĸͬͬĸ֔СͷӵP(gun)ϵ^

ۻʔ_һ(g)˜ʹеķ֔M(jn)б^

ܷӺͷĸС^ӺͷĸIJһr(sh)ӻĸԽķֵ֔Խ

ݱʱ^^ɂ(g)ӻĸͬr(sh)׃r(sh)֔ĴС\Ϸͬʵ׃P(gun)ϵ^֔ĴС(w\Ҋ(jin)ͬ׃Ҏ)

D^з֔DС(ֵ֔)M(jn)б^

߱^һ(g)һ(g)YÔ1M(jn)б^

С^һ(g)֔pȥһ(g)֔óĔ0^

ᵹ^õ^СȻ_ԭĴС

ʔ^_һ(g)ʔÿһ(g)cʔ^

17 Ⱥͱ

ȣɂ(g)ֽЃɂ(g)ı̖ǰĔбȵǰ̖Ĕбȵĺ

ֵȵǰ헳Ժ헵ֵ

ȵ|(zh)ȵǰ헺ͺͬr(sh)ԻͬĔ()ֵ׃

ʾɂ(g)ȵʽӽa:b=c:d

|(zh)ɂ(g)헷eڃɂ(g)헷e()ad=bc

AUsСױBҲUsСױ(AB̲׃r(sh))tAcB

AUsСױBҲsСUױ(ABķe׃r(sh))tAcBɷ

ߣDϾxc(sh)HxıȽ

䣺юׂ(g)һֳɎ׷а

18 Cг̆(wn)}

г̆(wn)}оw\(dng)оwٶr(sh)g·֮gP(gun)ϵ.

ʽ·=ٶ×r(sh)g;·÷r(sh)g=ٶ;·÷ٶ=r(sh)g

P(gun)I(wn)}_\(dng)^(gu)еλúͷ

(wn)}ٶȺ×r(sh)g=·(Ո(xi)ʽ)

׷(wn)}׷r(sh)g=·̲÷ٶȲ((xi)ʽ)

ˮ(wn)}ˮг=(+ˮ)×ˮr(sh)g

ˮг=(-ˮ)×ˮr(sh)g

ˮٶ=+ˮ

ˮٶ=-ˮ

oˮٶ=(ˮٶ+ˮٶ)÷2

ˮ =(ˮٶ-ˮٶ)÷2

ˮ(wn)}P(gun)IǴ_w\(dng)ٶϹʽ

^(gu)(wn)}P(gun)IǴ_w\(dng)·Ϲʽ

Ҫ(hu)(xin)ΈD

}֪ͣ·(·׷·)r(sh)g(r(sh)g׷r(sh)g)ٶ(ٶȺٶȲ)ɂ(g)(g)

19 ̆(wn)}

ʽ

ٹ=Ч×r(sh)g

ڹЧ=÷r(sh)g

۹r(sh)g=÷Ч

˼·

ټO“1”(Ϳo(w)P(gun));

ڼOһ(g)Ĕ鹤(һɹÕr(sh)gС)(g)P(gun)ϵԺ(jin)εرʾЧʼr(sh)g.

P(gun)I(wn)}_r(sh)gЧgăɃɌP(gun)ϵ

(jng)򞺆(jin)uϾñط־ñغ

20 ߉݋톖(wn)}

(jin)飺

ٗl—OOrеһNȻ@(g)OȥДc}Olìܵrf(shu)ԓOrDzôc෴rdzOażД^(gu)гFìôaһ攵

ڗl—б}Ol^ҪμOɕr(sh)ҪM(jn)б(li)oбǰ}Oėlȫʾһ(g)L(chng)αзքeʾͬČcr^(gun)ȵ}Or\߉݋ҎM(jn)Д

ۗl——Dɂ(g)֮gֻЃɷNP(gun)ϵr(sh)ͿB(xin)ʾɂ(g)֮gP(gun)ϵB(xin)tʾ“”ȿ϶ĠB(ti)](mi)B(xin)tʾ񶨵ĠB(ti)AB֮gJRJRɷNB(ti)B(xin)ʾJR](mi)бʾJR

߉݋Ӌ㣺^(gu)гҪM(jn)Зl֮߀ҪM(jn)ӋӋĽYṩһ(g)µДYxl

ݺ(jin)Κw{c}Ŀṩ͔дڵҎɺͷrƏVһrfƳP(gun)P(gun)ϵʽĶõ(wn)}ĽQ

21 ׺e

˼·

һЩeӋֱ\ùʽrһҪDM(jn)иaƽDֽ׃دBʹҎtĈD׃?yu)ҎtĈDM(jn)Ӌ;ҪպӛһЩҎeҎ

÷

1. Bo(xin)

2. õȵ׵ȸߵăɂ(g)e

3. đO(Щc(din)O}Ŀf(shu)c(din)}r(sh)ɰc(din)Oλ)

4. Ҏ

ٵֱ֪һl߅e(б߅ƽ4ڵֱεe)

ΌǾ(xin)B(xin)e

ۈAeռe78.5%

22 r(sh)犆(wn)}—톖(wn)}

˼·

1г̆(wn)}е˼S};

2ͬıٶȲͬ\(dng)w;

3·̵ĆλǷָ(һܞ60ָ);

4r(sh)gǘ˜ʱ(jng)^(gu)ĕr(sh)g;

5г̆(wn)}еıP(gun)ϵ

23 r(sh)犆(wn)}—׷

˼·](xin)ϵ׷(wn)}

P(gun)I(wn)}

ٴ_cr(sh)ᘵijʼλ;

ڴ_cr(sh)ᘵ·̲;

ٷָ񷽷

r(sh)犵Aֳܱ60СÿС҂Q(chng)1ָÿСr(sh)60ָһ;r(sh)ֻ5ָʷÿ1ָr(sh)ÿ1/12ָ

ڶȔ

ĽǶ^(gun)c(din)Aһ360°ÿD360/60 6°r(sh)ÿD360/12*601/2 

24 c

(jng)򞿂Yȵ^(gu)д@ӵһ(g)P(gun)ϵM(jn)лϵăɷNҺȵ׃ɷ

|(zh)ܽ|(zh)|(zh)(}ƾ)|(zh)

܄ܽ|(zh)|(zh)(ˮ͵)܄

Һ|(zh)܄ϳɵҺw(}ˮˮ)Һ

ʽҺ=|(zh)+܄;

|(zh)=Һ×;

= ×100%= ×100%

ՓСԇƳ|(zh)Һ܄ߵʽ

(jng)򞿂Yȵ^(gu)д@ӵһ(g)P(gun)ϵM(jn)лϵăɷNҺȵ׃ɷ

25 (jng)(wn)}

İٷ֔=(u(mi)r(ji)-ɱ)÷ɱ×100%;

u(mi)r(ji)=ɱ×(1+İٷ֔);

ɱ=u(mi)r(ji)÷(1+İٷ֔);

ƷĶr(ji)(li)_;

r(ji)=ɱ×(1+İٷ֔);

𣺃Ľ~;

ʣϢͱı;

Ϣ=××ڔ;

r(ji)=r(ji)×(1+ֵ)

26 (jin)η

ʽ\̖(Ӝp˳)B(li)ĸߔ

̣δ֪ĵʽз

з̣уɂ(g)ׂ(g)ȵĴʽõ̖B(li)

зP(gun)I(wn)}Ãɂ(g)ϵIJͬʽʾͬһ(g)

ʽ|(zh)ʽ߅ͬr(sh)ϻpȥһ(g)ʽ׃;ʽ߅ͬr(sh)Իһ(g)(0)ʽ׃

헣єʽӸ׃̖ķ̵̖һ߅Ƶһ߅;

ҎtƼӜp׃˳;ȥ̖ȥ̖ȥС̖

ȥ̖ҎtֻмӜp\ʽ̖ǰ“+”̖tȥ̖̖\̖׃;̖ǰ“-”̖ȥ̖̖\̖Ҫ׃;̖Ĕǰ](mi)“+”“-”“+”̎

P(gun)I(wn)}\õʽ|(zh)Ҏtȥ̖Ҏt

˷ʣa(b+c)=ab+ac

̲ⷽEȥĸ;ȥ̖;;ܺϲͬ(li);;

̽Mׂ(g)Ԫһη̽MɵһM

ⷽ̽MIJEԪ;ڰһԪһη̲E

ԪķټӜpԪ;ڴԪ

27 ѭh(hun)С

һѭh(hun)ССֻɷ֔Ҏt

ټѭh(hun)ССֻɷ֔һ(g)ѭh(hun)ĔֽMɵĔĸĸλ99Ă(g)cѭh(hun)λܼͬsֵټs

ڻѭh(hun)ССֻɷ֔ǵڶ(g)ѭh(hun)ǰСֵĔֽMɵĔcѭh(hun)ֵĔMɵĔ֮ĸ^λ99Ă(g)cһ(g)ѭh(hun)λͬĩλ00Ă(g)cѭh(hun)ֵλͬ

֔Dѭh(hun)СД෽

һ(g)(jin)֔ĸмȺ|(zh)25ֺ25|(zh)ô@(g)֔ɵСضǻѭh(hun)С

һ(g)(jin)֔ĸֻ25|(zh)ô@(g)֔ɵСضǼѭh(hun)С


СW(xu)֪RP(gun)£

СZ(y)ij֪RR01-27

P(gun)СZ(y)ĔW(xu)Z(y)֪Rc(din)02-25

2017СW(xu)֪R01-27

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