河北省秦皇岛2021-2022学年高考数学押题试卷含解析

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17ூ
᪆௃ᑖ᪆(1)ᑭᵨöᦪẆøQᦪḄᓫìឋ#i[x=1#g(x)[᩽ᜧZ#¬§ᨬᜧZ#eᵫ=+=i[\û~(2)e5r(x),ᑖ,ýþÿ
4Ḅᙠᑁᑖ(>0XḄᦪ/(%)/'(!)<0#Ḅᦪ/(x)Ḅ%&(3)Ꮇ)*ᙠ+,,஻/(l,+a>),3ᦪ(x)ᙠ+,45Ḅ67,(m+2);(஻+2)<,ᑣF(m)=nr-mlnm+2=k^m+2^C⚪EᓄGᐵIxḄJKf-᝞N+2=ᦇ(P+2)ᙠ(1,R)ᑁ7ᔲ*ᙠTF(n)=n2-஻/஻஻+2=᝕(஻+2)UVWXḄY᪷[\]^.`abপᵫ⚪eg'(x)=-lnx-l,g'(x)=O,ax=g,h#ij,&!lg'(x)>0,ᦪg(x)ᓫn⌴hlg'(x)<0,ᦪg(x)ᓫn⌴%.ᡠqhx=(lg(x)r᩽ᜧ6u7ᨬᜧ6ᡠq8a஻=0.\e)ee(2)/(x)ḄG(O,+8)..,/ஹa—1—QX+ci—1(x—+l—cif(x)=x-a+----=------------=-------------xxxজa-l=lᓽa=2,ᑣr(x)=£22_,ᦑ/(x)ᙠ(஺)ᓫnঝ஺1<1,\஺>1,ᦑl0ᦑ/(ᙠ(஺1,1)ᓫn⌴%ᙠ(o,஺1),஺,”)ᓫn⌴.ঞᓽa>2,ᳮ“X)ᙠᓫn⌴%ᙠ(0,1),(஺-1,”)ᓫn⌴

18(3)ᵫ(1)/(xjnx2—xlnx+2,ᡠq'(x)=2x-lnx+l,x)=F'(x)=2x-Inx+l,ᑣ஻(x)=20Vxw(l,+oo)ឤᡂ,ᡠqF'(x)ᙠ(1,+8)ᑁᓫn⌴ᡠq(X)প=1()ឤᡂᡠqᦪ(X)ᙠ(1,+co)ᑁᓫn⌴.Ꮇ)*ᙠ5஻,“/(1,+8),3ᦪᙠ+,,5Ḅ67+M஻Z+2)M”+2)<,F(m)=nr-mlnm+2=^(m+2)ᑣ(஻)=«2஻/஻஻+2=ᦇ(஻+2)C⚪EᓄGᐵIxḄJK/xlnx+2=ᦇ(#+2)ᙠ(1,+8)ᑁ7ᔲ*ᙠTUVWXḄY᪷,ᓽJKk=£¤<&+2ᙠ(1,+8)ᑁ7ᔲ*ᙠTUVWXḄY᪷,A,/ஹx2-xlnx+2X2+3x-4-21nx"xe(l,+oo),ᑣ஻'(x)(X+2)2)஻(x)=f+3x-4-21nx,XG(1,-H»),ᑣ+Vxw(l,+oo)ឤᡂᡠqᦪp(x)ᙠ(1,ᱥ)ᑁᓫn⌴,ᦑ஻(>MD=0ឤᡂᡠq஻'(x)>0,ᡠqᦪ஻(x)ᙠ(1,+8)ᑁᓫn⌴ᡠqJKk=xHnx+2ᙠx+2(1,)ᑁV*ᙠTUVWXḄY᪷.®5ᡠ¯V*ᙠ5஻°£஺,+8),3ᦪ*x)ᙠ+,,஻<5Ḅ67+²(,+2),²(஻+2)<.³´bµ⚪¶⌕ὃ¹ᑭᵨ¼ᦪᑨ¾ᦪḄᓫnឋqᦪḄᨬ66ÀIÁ⚪.ᦪ᩽6ஹᨬ6ḄÂÃb(1)ÄᦪḄ&(2)¼ᦪ&(3)aJKÅᦪᑁḄᡠᨵ᪷&(4)ᑡ⊤ɹᙠḄ᪷²iTÊ6ḄËÌ᝞^²ÍiÎ(²i%)ÏÐᙠᜐr᩽ᜧ6᝞^²ÎiÍ(²%i)ÏÐᙠᜐr᩽R6.(5)᝞^ÓᨵU᩽6³ᑣᙠÔᜐᓽ7᩽6u7ᨬ6&(6)᝞^Ö5Ḅᨬ6×◤⌕ÙÚÛ³6Ḅᦪ6Ü᩽6ḄᜧR.20.(I)Ýa᪆(II)ß7ூ
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19AEC,®¯5OLAC,¯°±²ABCD³²ᵫ´,µ1AB=AD.(II)¶ACᑠḄ¬LG,¸xEC//FGM8cḄpL஺¹EOD,ᑣ0DJL5C,»0Lᙶ᪗½»¡0¾CE¿ḄLxÀ»5cLyÀ0஺LzÀÁÂÃÄÅᙶ᪗ÆᑭᵨᔣAÈ,oxÉ☢ÅA-BF-DḄÊËB.ூÍ௃71(I)µ1ªNBCE=—,ᓽBC_LCE,2RL¿☢ABC஺_L¿☢BCE,ᡠ»EC¿☢ABC஺ᡠ»ECLBO,RLBD_LAEᡠ»30,¿☢MC,ᡠ»RL°±²ABCD¿°±²ᡠ»°±²ABC஺³²ᦑAB=AD&Ȫ(II)¶AC8஺Ḅ¬LG,RLEC7/¿☢8DE,¿☢AECI¿☢3D/RG,ᡠFEC//FG,RLGACpᡠ»ÑAEḄpRL48=6()஺Ò8CḄpL஺¹ÓOD,éê|8ëBC,RL¿☢ABCD_L¿☢BCE,ᡠ»OD_L☢8EC,»஺Lᙶ᪗½»¡஺¾CE¿ḄLxÀ»8஺ᡠᙠL)À»a)ᡠᙠLzÀÁÂÃÄÅᙶ᪗Æ.Ö¶AB=2,ᑣ8(0,TO),A(0,-2,V3),஺(0,0,ṹF1,--,^-,BF=\1,-,^-,I227V227Ø=(0,-1,6),Ø=(0,1Ù,

20)æ☢A8Ḅìᔣî஽=%,y,zj,16_᳝+/+ò4=n0,r/=j6,6,]),ᑣீஹ-y+ó|=0ᳮæ☢DBFḄìᔣîõ=ö0,>/3,-1,)æ☢ABFÜæ☢DBFḄᜳøG஺,ùGcosöúóû=—%•H2___2=u2,7'ᡠq¤☢øA-M—஺Ḅüý6G.7aì¤böII)ACÜBOḄþ³GG,ùGEC஻æ☢Åÿ
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☢ᡠ4CJ_ᓽBFHIGHஹAH,PG=BG,ᡠᦑ
☢AHG,ᡠAH_L3F,ᓽNA/7G☢A—BE—஺Ḅ
☢,AB=2f

21RLAG=JLGH=—,2ᙠ&AAG”ptanZAHG=y[6,ᡠ»COS/A”G=Y7,ᡠ»É☢ÅA—Ú஺ḄÊËBLÂ.77ூÛ௃f⚪ὃioÃÄÅpḄÉ☢ÅḄÊËBÜὃiᵫÃÄp☢ᐵƯµ1ÝÞp᫏⚪.221.1—+y2=1.4-115à2â¯TlOÑFLãB“¡zå᪆.ூ
᪆௃i_21ᑖ᪆ª.1/ᯖ^:1c=6,ᵨèÈe.•&᪵e.஺.kᙊyza411ᔆ.2/Wë=0,&ᱯìí²eÓo.Øe+ïðᙠᦇH0MNyzLy=k.x+G/,¶M.Xy/,N.w%/,>yzòᐭkᙊyzôe.%+%2%ᙠ2,ᯠôᵫõö÷øIJxËö\MN\=yll+k2ùOPyzLy=-;X,òᐭkᙊyze.Pᙶ᪗®¯IJx|஺“ᨬôIJK11Ø+Øᓽe.ͪ.1/ᵫ⚪eKc=ü¶Aà᳝x/,3.w%/òᐭkᙊe.ª22224+4=1,4+4=1,þøÝÿ᦮ᳮa2b2a2b2

22^.*=@9ᓽBC=3y—X,Aj-rAud?GB8=Ik஺D=gJᐭLMNOᱏ=4/.G=/?-+C?,C?=3,ᡠ"=4,Z?2=1,ᦑUᙊḄWX+Y=].4-.2/ᵫ⚪]N^F.-V3,o/,aMNbcd,OPefc,gd1_11_-11-5H\MN\\0Pf~4-4;2X21@+V=1ᔲᑣNkl/ḄWXy=Z.x+G/ὶn4-ryNO,y=&(x+g)(1+4s2)x2+86t2%+12%2—4=0,8w212k2-4ᑣᨵ:ᵫx=ᵫஹ28S12/2—44+4᝕2ᡠ|MN|=J1+/z_{=Ji+}—4(1+~2,1+4}1+4}2X,2+r1klOPWXy=-!x,ὶnT,᪷ឋ,K1y——Xk2+4_5+4F-4,11%Lᡠ'|MN|+|0P|2

23r2v2b2IklUᙊ஺+=14(%,~),8(2%)A3ḄC*oC)ᑣᨵBs0஺@aba~WᓽA5ᙶ᪗JᐭUᙊWXOὡ+4=1,4+4=1-Mᔠ¢᳛}MNO./b1CTb22x22.(1)a=\(2)8(¤=/(¤@2¥1>0)¦ᦪ஻(x)=/(x)---------(x>0)©¦ᦪ.(3)ªl+2x«᪆ூ«᪆௃(1)¯°±¦ᦪ/'(x),¯°ᑗlWX³x=0OᑗlḄ´µ¶NO஺(~·ᑭᵨ¦ᦪḄᓫ»ឋ¯«)I(2)¯¦ᦪḄ±ᦪᵫ±ᦪḄ¼½¾ᓫ»ឋI5.2"+|12"(3)¿M@^<@@2ÁÂீᵫg(x)⌴Og(x)>g(O)=O(>()),ᓽ/(x)<2x,ᓽ2a”54=/(2%_1+1)<24_],ÆÇÈÉa<2a_<22a_<■■■<2,"'«,=ynn(n212x¿M-@2<0,h(x)=f(x)@@—⌴©Oh(x)>h(0)(x>0),a„2x+lÊ>°Ì<Íᔁ@2ீÏ@2),ᐜÑLÒ@2<0,ᯠÔÕ᪵ÈÉO°×.ூØ«௃2«(1)/(%)=ln(2x+a)¯±O/(x)=-------2X+Q2gÚপ=—.G/প=Ü2+a),ᡠÝly=/(x)ᙠᜐḄᑗlWX2y-ln(2+a)------(x-1),2+஺22ᓽy-------x+ln(2+a)---------.2+஺2+஺22ᵫ⚪]ln(2+a)--------=In3—2+஺3àᯠ஺=1,〉ᔠLM.2³0(Q)=ln(2+஺)------(a>0),2+Q12¯±O“3)=----1------7>0,2+a(2+a)~

24g஺3)©¦ᦪᦑ4=1â@«.2x(2)ᵫ(1)N^g(x)=ln(2x+1)-2x(x>0),h{x)=ln(2x+1)-(x>0),2x+l24xg'(x)=K-2=-<0,2x+lᡠg(x)=f(x)-2x(x>0)¦ᦪ.ஹ224xäh(x)=-------------=------->0,2x+l(2X+1)2(2X+1)22xᡠh(x)=/(x)———(X>0)©¦ᦪ.l+2x2(3)ᵫq=,a“+i=/(a“)=ln(2a“+l),᧕Oa“>0.5-2,,+,J-2஺”èT5ᵫ(2)N^g(x)=/(x)-2x=ln(2x+l)-2xᙠ(0,+oo)L¦ᦪ.gax>()dg(x)஻(0)=0,ᓽ)>îு0.11,gீï+1,/প2x

25ஹc11X=4T.஻N2/,-2<-------2-2"/11[1ᓽ——2<----------2an2஺“][஻=2±-2=--2=-=—244/ভ/hlIn1.8lnL8>ln6>lnV^=,211cᡠ--2<0,ᡠ2<0,In1.8%ᡠ஻23,ᡠ“222<0ᡂ.5-2,+|ᡠ஻22,<-----2<0ᡂ.2"%ூ௃"⚪ὃ%&ᦪḄ)*+,ὃ%ᵨ&ᦪẆ/0ᦪḄᓫ2ឋὃ%ᵨ&ᦪ45678."⚪9678Ḅ45ὃ%:;ᓄ=ᓄ>Ḅ?@A678BCDᑭᵨF(2)G⚪0ᦪḄᓫ2ឋHᦪᑡḄ67ᐵKL<2G„_,,1-1/1Cஹ22).OPᨬᐵRḄS.ᯠDSSUVᓽ45."⚪WXYZ⚪.%2%