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~
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˜ʲͬɽYIJP(gun)ϵֽMĽMĿ
˼·ȌɷN䷽M(jn)б^ژ˜ʵIJɽY׃@(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@Nԭɴ_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
㷨
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\
ȲУһДɂ(g)IJһ@ӵһДͽȲ
헣Ȳеĵһ(g)һa1ʾ;
헔ȲеДĂ(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) ×;
кʽsn,= (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˷ԭ͎Ӌ
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)Ȼmõķes@ׂ(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”ƽֳɎʾ@ӵһݻݵĔ
֔|(zh)֔ķӺͷĸͬr(sh)ԻͬĔ(0)֔ĴС׃
֔λцλ“1”ƽֳɎʾ@һݵĔ
ٷ֔ʾһ(g)һ(g)ٷ֮Ĕ
÷
˼S}Ŀṩlķ(Y)M(jn)˼
˼Sҳ}ĿоwcռʵֱӌP(gun)ϵ
D˼Sһ(li)}Dһ(li)}M(jn)нҊ(jin)DQɱDQɱP(gun)ϵ;ѲͬĘ˜(ڷ֔һָһ)µķDͬһlµķҊ(jin)̎Ǵ_ͬĘ˜ʞһ
ܼO˼S˽}ķ}ĿвȵOȻOijNrӋĽYȻM(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)һֳɎа
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)gr(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 ߉톖(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\߉ҎM(jn)Д
ۗl——Dɂ(g)֮gֻЃɷNP(gun)ϵr(sh)ͿB(xin)ʾɂ(g)֮gP(gun)ϵB(xin)tʾ“”ȿ϶ĠB(ti)](mi)B(xin)tʾĠB(ti)AB֮gJRJRɷNB(ti)B(xin)ʾJR](mi)бʾJR
߉Ӌ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. õȵȸߵăɂ(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
СZ(y)ij֪Rc(din)R02-01
2017СӢZ(y)֪Rc(din)07-16
2017СӢZ(y)Z(y)֪Rȫ10-05
СӢZ(y)֪Rc(din)08-12
СӢZ(y)ʮ֪Rc(din)01-24
С(zh)֪R}𰸣06-08