六五文档>基础教育>试卷>2025届江西省上进联考高三4月联考检测数学答案
2025届江西省上进联考高三4月联考检测数学答案
格式:pdf页数:9页大小:1.3 M上传日期:2025-05-07 00:05浏览次数:302 侵权/举报

2025()*+!,-4./012!#$%&'()*+,-1.【34】Bz-i1-2i(1-2i)iz-i【56】78z=1-i,9:===-2-i,9:=-2-i=槡4+1=槡5.;<B.iii2i2.【34】A→→【56】78=>AB?@AC,9:AB∥BC,9:4(2t-1)-4t=0,5Bt=1.;<A.3.【34】C3【56】78∈ZCx∈Z,9:2x-1=1D2x-1=-1D2x-1=3D2x-1=-3,5Bx=1Dx=0Dx=2D2x-12x=-1,9:A={-1,0,1,2},Elog2x<2,B0<x<2=4,9:B={x|0<x<4},9:A∩B={1,2}.;<C.4.【34】D【56】FGHIBy=x-aJKL[2026,+!)MNOPQ,9:a≤2026.;<D.5.【34】Ax2y2【56】RSTC:+=1UVAJyW,X0<m<6-m,5B0<m<3.;<A.m6-m6.【34】Bπππππ【56】YZS(n2)8[\#,9:sinα+-π·S(n2)=sinα+-π=-sinα+=-sin+α-=[6](6)(6)(23)π3-cosα-=-.;<B.(3)57.【34】C【56】78]^ABC⊥]^PAC,]^ABC∩]^PAC=AC,AB⊥AC,9:AB⊥]^PAC,78PC]^PAC,BC9:AB⊥PC,_PC⊥PA,9:PC⊥]^PAB,9:∠CPB=90°,;BC8`OU=a,;`OUbaR==2223AC+AB4πR1000槡2π槡=52,9:`OUcd8V==.;<C.2槡33#!$8.【34】D【56】ef(x)=0,Bxeax+a(1-e)x-(e-1)lnx-1=0,feax+lnx+(1-e)(lnx+ax)-1=0,eax+lnx=t,Xet+(1-e)t-1=0,eh(x)=ex+(1-e)x-1,Xh′(x)=ex+1-e.eh′(x)>0x>ln(e-1)h(x)JKL(ln(e-1),+!)MNOPQ;eh′(x)<0x<ln(e-1)h(x)JKL(-!,ln(e-1))MNOPg,_0<ln(e-1)<1,h(0)=h(1)=0,Xh(x)=0hCihjkF,lm80,1.na≥0o,p#f(x)qh2krAstuy=ax+lnxU$% 1&('9&)书1vwx=>y=0yy=1'h2kzA.ep(x)=lnx+ax,Xp′(x)=+a,p′(x)>0,Xp(x)JKL(0,+!)MNxOPQ,_x→0,p(x)→-!,x→+!,p(x)→+!,fp(x)∈R,Xy=ax+lnxUvwx=>y=0yy=1{h1kzA,|}HI.na<0o,p#f(x)qh2krA,stup#y=lnxUvwx=>y=-ax,y=1-axUvw'h2kzA,~€8j‚=>lmxy=lnxUvwƒ„.…v1,ny=-axxy=lnxƒ„,†‡ˆ„A8lnx3-1=0,111(x3,y3),78(lnx)′=,y3=lnx3,Xƒˆ„>‰Š8y=(x-x3)+lnx3=x+lnx3-1=-ax1xx3x3=-a{x3111a=-;…v2,ny=1-axxy=lnxƒ„,†‡ˆ„A8(x4,y4),Xƒˆ„>‰Š8y=(x-x4)+lnx4=x+ex4x4lnx4-1=1,11111-=-=--,--,-+lnx411ax1a2,Xa∈2.‹Ma∈2∪[0,!).;<D.=-ae(ee)(ee){x4!!'#$%&!!'#$%&!$%&!$%&!!#&&(!!#( v1v29.【34】ACD(Œ<‡1kB2l)【56】E10×(0.010×2+0.015+a+0.035)=1,Ba=0.030,;A[;EŽl=‰vZ,Œ‘UŽ’“80.10,0.15,0.35,0.30,0.10,;”100k•–—aU]˜#x珋=55×0.10+65×0.15+75×0.35+85×0.30+95×0.10=76.5,;B™š;›‘UŽy80.10+0.15+0.35=0.6,7œ”100k•–—aU%60lž#880,;C[;—aŸ u80mmUŽ80.30+0.10=0.40,;”100k•–¡—aŸ u80mmUk#8100×0.40=40,;D[.;<ACD.10.【34】AC(Œ<‡1kB3l)3π5π【56】¢£CUvw,Ev¤ZA[,B™š;=>x=a-≤a≤¥C¦U§¨8cosa-sina=(44)π3ππ2cosa+≤2,;C[;n-≤x≤o,…v,4k©ª«l^dƒs,K¬②U^d uK¬①U槡(4)槡443πππ^d,K¬③U^d uK¬④U^d.­®¯°±Z²>CJ-,M³´UvµU^d u:8¶、[44]228!U·µABCDU^dπ,f²>C³´UvµU^d u2π,;D™š.;<AC.%$%!(!##!!!!!!!!#$#'#$'!&&$% 2&('9&)11.【34】BCD(Œ<‡1kB2l)1【56】E2S-1=S(n≥2),BS=1-(S-S)(n≥2),fS=1-a(n≥2),_a=S=¸¹ºM»,9:nn-1nnn-1nn1121S=1-a(n∈N),nn≥2o,ES+a=1,BS+a=1,;a+a-a=0,fa=a,9:#¼{a}8snnnnn-1n-1nnn-1n2n-1n11111½#¼,¾¿a=,À½q=,;a=,;S=1-a=1-,;A™š;ET(1)=S=1-,T(2)=122n2nnn2nnn2nnn1121n1nn1∑Ti(1)=T1(1)+T2(1)+…+Tn(1)=1-+1-+…+1-=n-1+,Tn(3)=∑Ti(2)=0++1+i=12(2)(2)(2)i=12121n(0+n-1)n1n2-n+21+…+n-1+=+1-=-,9:2n·T(3)=2n-1(n2-n+2)-1,;B[;nm=1(2)(2)22n22nn222k+1n-nAnAnAn+k-1o,T(3)-T(1)==>,Á†nm=ko,T(k+2)-T(k)==Ck+1´Â,nm=k+1o,Enn22!3!nn(k+1)!n+k-1Tn(k)=T1(k-1)+T2(k-1)+…+Tn-1(k-1)+Tn(k-1)=Tn-1(k)+Tn(k-1),¤BTn(k+3)-Tn(k+1)=Tn-1(k+3)+k+1Tn(k+2)-[Tn-1(k+1)+Tn(k)]=Tn-1(k+3)-Tn-1(k+1)+Tn(k+2)-Tn(k)=Tn-1(k+3)-Tn-1(k+1)+Cn+k-1,Xk+1k+1Tn-1(k+3)-Tn-1(k+1)=Tn-2(k+3)-Tn-2(k+1)+Cn+k-2,Tn-2(k+3)-Tn-2(k+1)=Tn-3(k+3)-Tn-3(k+1)+Cn+k-3,…,k+1k+1T3(k+3)-T3(k+1)=T2(k+3)-T2(k+1)+Ck+2,T2(k+3)-T2(k+1)=T1(k+3)-T1(k+1)+Ck+1,ÃM»ƒÄ¤Bk+1k+1k+1k+1Tn(k+3)-Tn(k+1)=T1(k+3)-T1(k+1)+Ck+1+Ck+2+…+Cn+k-2+Cn+k-1,_T1(k)=T1(k-1)=T1(1),XT1(k+3)-k+1k+1k+1k+1k+2k+1k+1k+1k+2k+1T1(k+1)=0,;Tn(k+3)-Tn(k+1)=Ck+1+Ck+2+…+Cn+k-2+Cn+k-1=Ck+2+Ck+2+…+Cn+k-2+Cn+k-1=Ck+3+Ck+3+…+k+2(k+1)+1m+1m+1An+kAn+(k+1)-1An+m-1An+m-1Ck+1+Ck+1=Ck+2==,fnm=k+1o¸´Â,;T(m+2)-T(m)=>,9n+k-2n+k-1n+k(k+2)![(k+1)+1]!nn(m+1)!(m+2)!m+1An+m-11:T(m+2)>T(m)+,;C[;nn=1o,ET(m)=T(1)=S=,YBT(m+2)+T(m+1)=nn(m+2)!1112110m+1n-2mn-2Cm+1=1´Â,nn≥2o,EC<¿ZTn(m+2)-Tn(m)=Cn+m-1=Cn+m-1,XTn(m+1)-Tn(m-1)=Cn+m-2=Cn+m-2,m-1n-23n-22n-2Tn(m)-Tn(m-2)=Cn+m-3=Cn+m-3,…,Tn(4)-Tn(2)=Cn+1=Cn+1,Tn(3)-Tn(1)=Cn=Cn,M»ƒÄBTn(m+2)+1n1nT(m+1)=T(2)+T(1)+Cn-2+Cn-2+…+Cn-2+Cn-2,_EMZ,T(2)+T(1)=n-1++1-=n,Xnnnnn+1n+m-2n+m-1nn(2)(2)n-2n-2n-2n-2n-1n-2n-2n-2n-2n-1n-2n-2Tn(m+2)+Tn(m+1)=n+Cn+Cn+1+…+Cn+m-2+Cn+m-1=Cn+Cn+Cn+1+…+Cn+m-2+Cn+m-1=Cn+1+Cn+1+…+Cn+m-2+n-2n-1Cn+m-1=Cn+m,;D[.;<BCD.12.【34】(-!,2)(Å´{x|x<2}¸[)【56】YZf(x)=-2x-x5ÆNOPgU\p#,;f(x-1)+f(5-3x)<0f(x-1)<f(3x-5)x-1>3x-5x<2.13.【34】114【56】Ç0ÈÉ、ÊJËÌkÍÎUϱ:ÇÐkÍΡ<ÌkÍÎÑÏÒÓÔÉ、Ê,h3Õl±,RÖ×223kÒÓÔlØÙÚÛjkÍÎ,hC3A2=6Õl±,RÖ×UkÒÓÔlØÙkÍÎ,hA3=6Õl±,;É、ÊJËÌkÍÎUŸËUl؉±Õ#83×(6+6)=36,9:É、ʟJËÌkÍÎUŸËl؉±ÕC2C233+533-=#8C5A32·A336114.A2槡614.【34】2【56】5±Ì:†CUÜVA8F′,…v,E‚ÝZAF⊥BF.E‡ÞßZ,AF′=BF,†AF=m,BF=n,$% 3&('9&)m-n=2a,m=(2+1)a,槡22c槡6E‚ÝB15B9:2c=FF′=槡m+n=槡6a,9:CUàá8=.m+n=4mn,{n=(2-1)a.a2{槡2槡&#!$$!%→→→→→5±â:†CUÜVA8F′,…v,EAF·(AF-AB)=0,BAF·BF=0,9:∠AFB=90°,E‡ÞߤZãäµAFBF′8·µ,9:△AFBx△AFF′U^dƒs,CAA,B˜J:FF′8=aUTOM,9:TOUba8c,22x1y1-=1,22222222222222222422†AA(x1,y1),Xab/Â忤Bb(c-y1)-ay1=ab,çèBbc-ab=by1+ay1,b=cy1,y1=222{x1+y1=c,b21,9:S=S=×2c·y=b2,78AF+BF=4S,9:AF+BF=4b,fAF+AF′=4b,9:c△AFF′21槡AF+AF′=4b,¤BAF=2b+a,AF′=2b-a,78FF′8TOU=a,9:AF2+AF′2=FF′2,f{AF-AF′=2a,22222c槡6(2b+a)+(2b-a)=4c,çèB2c=3a,9:àáe==.a2&#!$$!%15.(1)5:782asinBcos(B-A)=-bsin2A+2asinBcosC,9:asinBcos(B-A)=-bsinAcosA+asinBcosC,E[§éèBabcos(B-A)=-abcosA+abcosC,(2l)9:cos(B-A)=-cosA+cosC=-cosA-cos(A+B),9:cos(B-A)+cos(A+B)=2cosAcosB=-cosA.(4l)12π_78△ABCÆêëëµ,9:cosA≠0,9:cosB=-,fB=.(6l)23(2)ìí:EÛ§éèB12=a2+c2+ac=(a+c)2-ac=16-ac,9:ac=4,(8l)_a+c=4,5Ba=c=2,(11l)9:△ABCÆsîëµ.(13

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