2022-2023学年河南省高考数学押题仿真测试模拟试卷（一模）有答案

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2022
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=cosᐔ+2sin?t=_l,ᦑஹ=sinx-2cosxᙠᵯᐔÃ/ᜐḄᑗtOP'-2=—G-ᐔ/ᓽx+y-2-ᐔ=0ᦑxy—2-71—014.7ூᑖ᪆௃ÅrÆ஻/ᑡrOPh1r“yy3,Ék1r☢.ூpq௃nt2n2—+—=1167ᵫ⚪¿2"C2=16-7=9,q2"c=3,ᡠឍᵨ=6,År஻?"/ᑣÍ+/=9,n=+—S.FPF=—17^7^|-|«|=—x6x—=7q2"3,ᦑ"e211211123ᦑ7'8⚓/*28⚓

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185#ᦑîᫀ.ð16.জঝটூᑖ᪆௃জঝñròᦪ`মᓝ—2|"'/="-2%+1;z2õ/ᦪÏjöᑨ÷?ঞøᓄuv,{òᦪḄzᡂú9ûrüý?টøᓄ{òᦪzᡂúþÿᑮᦪ,ᙳᔣᑭᵨᦪ.ூ௃ាᨵ"᪷$জ&';)ᙠ+ᦪ,-./=ាᨵ2"᪷ঝ&';⌕5678+ᦪ஺)ᙠ:;<Ḅ+ᦪX”>,-/a?-/@z?=ga?-g@x2?,A◤ᦪ/(x)=e-2,g(x)=x2+axawR
CᨵD"E>஺=1F,g(x)=x2+x=G424,ᔣIᨬKLM4,NF᝞ᡠQRᵫTᢣᦪᦪḄVWXYZTᦪ[ᯠNFDᦪA⌕"Eᦑঞ┯`;a10⚓/d28⚓

19⌕5678+ᦪ஺)ᙠ:;<Ḅ+ᦪe2-/(□)-/&)=83)—(>)ᓽ/(x,)-/(x)=-[g(x,)-g(x)]A◤"x)=e02w-g(x)=-2-%yza|}L,22)_g(x)=-x2-ax=-(x+g]+——>0ᨵD"EᐸI2J4ᔣᨵLM4ឤ/ஹ@(a'Ya2(00)-g(x)=_x_஺*=|x+|+7Dᦪ᝞ᐸI2J4Mᱥᵨa11⚓/d28⚓

20ᦑজঝটᑭᵨᦪẆᦪ⌕Ḅ.◤ᦪᦪᓫឋ,LᨵFᑖ◤ᵨᑮ¢ᦪḄ..17.(1)£᪆(2)15Aூᑖ᪆௃(1)᪷¥⚪8sin/+sin8=2sinCeos4,§᪷¥2¨ឋ©ᓽª;.a+b20-dcosA=____—_________ফ¬஺=10-",c=10+d,d>0,2c2(10+d),ᓽª(1)ᵫ®஺+6=2ccos/¯&°±ᳮsin³+sin8=2sinCcosA,´sinB=sin(J+C)=sinAcosC+cosAsinCµᐭI·sinJ=sinCcosA-cosCsinJ,ᓽsinA=sin(C-A)´00ᵫ½°±ᳮa-2-2bccos4,᦮ᳮR2d+5=(10+d)cos4জa+b20—dcosA=----=--------ᵫ®2c2(10+d)ঝ3ZT-Xc-1meA—_ᵫজঝὶÀ᦮ᳮRd=2,ᡠ‘'4.sinA=—cos2A=——S=—besinA=15\/7ᡠ4,ᡠ.ABCḄ☢ÄM218.(1)31,12.281(2)ᔠÆa12⚓/d28⚓

21ூᑖ᪆௃(1)᪷¥⚣᳛ᑖÉC.ÊḄ⚣᳛e⚣ᦪ᪷¥.ºËÌÍ·ᓽªËÌ.º$1_Ix_y■*—s(2)y,ÑÒ-2ḄᜧKᐵÕᓽªᑨ×.(1)ᵫ⚣᳛ᑖÉC.ªØÙWYÚÛÜ23,25)ஹÜ25,27)ஹÜ27,29)ஹÜ29,31)ஹÜ31,33)ஹÜ33,35)ஹÜ35,37)ஹÜ37,39ßḄ⚣᳛ᑖàMR஺áஹ0.09ஹ0.16ஹ0.24,0.18ஹ0.14ஹ0.10ஹ0.05,6ãḄ⚣ᦪᑖàMR4ஹ9ஹ16ஹ24ஹ18ஹ14ஹ10ஹ5,ᦑ᪵åᙳLMRZ(4x24+9x26+16x28+24x30+18x32+14x34+10x36+5x38)=31᪵å.ºMR—(4x72+9x52+16x32+24x1+18x1+14x32+10x52+5x72)=12.28100V7.•èËéêëìᱏḄØÙWYḄîᙳᦪMï=31,.ºM$2=12.28$(2)ñòØÙWYᙳLRy=30+.8+2.7—1.8+4.3—0.9+4.8+7.2+0.8+0.6—4.829ÜÜ3905+45)316|x-y|2=0.62=0.36<^.s-^=3.07••éᢇêᨨìᱏᔠÆö19.(I)5$Gফ14□ூᑖ᪆௃(1)øù/஺ᑮE,-ZO=OE=4,ýþEC£.CEL☢᪷ᳮPC(2)DEo,°"#ᑖ%&-z)*+,-./ᙶ᪗2"3☢OP8613⚓/;28⚓

22=☢CPBḄ?ᔣA"ᑭᵨᔣA?ᓽEF☢/ḄGH.(1)IJK஺ᑮE,H/D=DE=4,EC,PE.AᵫOPQ8CEO&RSTU"ᦑ80஻EC.yiAB1AD1+BD2,...BDLAE,ᑣ•.•pf)nAE'=Z),☢ZE,...ECJ^.M☢P/E,.•.ECPPE,ZPDA=120°,...ZPDE=60°,QPD=AD=DE=4,...+PAERSTUVW,ᦑPE=4.QEC=BD=3,...PC=yjPE1+EC2=5.(2)ᵫপPBCE஺&gU"஺EO,°P,ᑣOPLDE,ᑣOP_L☢8CED,᝞j"#°”"஺ᑖ%&x,z)*+,-./ᙶ᪗2°mn,ᑣP(0,0,2o),£>(2,0,0),8(2,3,0),C(-2,3,0)q=(2,0,-2G),s=(2,3,-26),t=(-2,3,-26)u☢஺8Ḅ?ᔣA&"?=(x"᝞zJᑣ?z'PD=0,m-PB=0614⚓/;28⚓

23X,-y/iZy=0<ᓽ2}+3.2JJz]=0,(=6,=0,Z]=1,ᦑ6=(o,0,1)u☢PBCḄ?ᔣA&"(ᓰ"*2),ᑣ[•s=0,7•=0,2X+3y2-2Y/3Z=0<22ᓽெm2/+3%m2J^Z2=0,2=o,8=2/2=Ji,ᦑ஻=(0,2,6),/---,mn5/2!cos(m,n)=——=-=---...I||஻|14_^ᵫPF☢/Q-P8-C&/"ᦑF☢/Q-PB-CḄGH&14.-------1--------120.(1)164ফ1ூᑖ᪆௃||4;=7,|/ᵨ2=»6(+(46)21□|1ᵫ(1)᪷⚪Q2}ᑭᵨᙊEᓽফ᪷⚪Q"=2|+¡"A-7¢M+ᑄ¡,u.¥/Ḅ¦§&¨K=my+2!ὶ+3ª«ᳮ"᦮ᳮᨬᓽ.(1)¯ᵫP0M¦§&:,°±&2.ᵫPQ,ᦑ஺=26,ᱏ(-26,0),ᨴ(2o,0)\AF\_\MF\473--T3=7,|/ᵨ2=|/6¶+(4·)2I1glᵫ2EQI"ᵨ=11ᨴᵨ=7ᦑ2a=|/ὡ|+|º|=8,ᡠ#0=4,b=>Ja2-c2=2615⚓/;28⚓

24”11ᡠ#ᙊCḄ¦§&164(2)u"¼ᑁᑗᙊ°±&R,☢¿&S,"G-)-85-9),ᑣÀÁÂÃFᨨ5='▅Æ+)=2Ç+È6ᡠ#"mÉ"'""Ê)"u.¥/Ḅ¦§&¨x=my+2K,Ëᙊ°-+4/=16ὶ+᦮ᳮQ3+4"+4Ìy-4=0,4®n4ᑣ+=mÍ'=mÍ.ᵫ<0ττ+1%τ=Î-ᑓ=&+y-4K26<1ÑÒÓÑ"=3ᓽ/=2ÔÕÖ.ᦑA,8ᱏᑁᑗᙊ°±Ḅ&1.ᜐᳮ.¥ËᙊḄØᔠᡂÛÔ"⌕ᶇ¨(1)ᶇÞßàᵨ⚪uḄámnᩩã"ää.¥ஹᙊḄᩩã(2)æᓄᨵᐵ.¥Ëᙊὶ+Q3mᐗF릧ìḄàíîK"ïð᪷Ë2ᦪò-Ḅᐵ2ஹHஹó᳛ஹõ/UḄ☢¿ÕᡂÛ.2—1)(0-+<»)(2)öE᪆ூᑖ᪆௃(1)øg(x)ù"ᯠìᑨüýᦪḄᓫÿឋ
᩽;16⚓/28⚓

25-221nxxe>----(2)(1)Ḅ!"◤$%ᓽᯠ(᪀⌼+ᦪF(x)=xe'2-21nx,(x>l),$ᐸᨬ4ᜧ6஺ᓽ8e*2e2Inx;(1)Ḅ!"◤$XX?ᓽ
ᑖ?᪀⌼+ᦪ@e*2e~InxB(x)=—(x>l)%(x)=----,(X>1)XD,ᯠ(+ᦪḄEFGឋHᓽ.(1)"O,g(x)=")HnxMᯠf,ᵫP!g(e)=Ob=0./ஹa

26x,Tஹg(x)=—m*o)ᦑxca<0,Xxe(O,e)Yg'(x)<0.XZᦪxe(e,+0g(x)ᨵᨬ4^_ᔠ⚪b.ca>0,Xxe(O,e)Yg'(x)>08Xxw(e,+8)Yg'(x)<0/ag(x)ᨵgeᦑaḄgij(°+8).ফᵫ(1)!஻>஺XX€(°l]Y/W>0,g(x)<0ᡠr/(x)>g(x).>2

27xa

28x_21nx---->-----ex2>----Xxeaxo)Yᵫ6x-x,"◤$xᓽ$xe"2-21nx>02(X2+x)er-2-2mஹx-2(ஹTF'(x)=(x+l)e"2--=i-----L------@K(x)=xe-21nx,(x>l)xxw9(x)=+x^ev-2-2,(x>]),Q'(X)=(J?+3X+1\'T>0ᦑ᜛(X)ᙠ(1,+8)}j~+ᦪ.᜛(1)=--2<0,^|-I=-^4=-2>0ᡠre4X..222ᡠrᙠ°I?,᜛஺)=°,Yᱏ+jXxw(l,x஺)Y᜛(x)<0,ᓽ/(x)<08XX€(Xo+oo)Y᜛(x)>0,ᓽ'(x)>017⚓/28⚓

292(x)min=F(%)=---T-2InX஺ᦑG+1,y=---21nxxQwᵫ6x+1ᙠa+8j+ᦪF(x)=F(xo)=-^7-21nx>^-21n|=|[2-ln^]>OminoᡠrG+1525V328ᦑXxw(l,+oo)Yxex-2-21nx>0,ᓽx,ᡠr/(x)>g(x)}X0<஺42Yf(x)>g(x);ᵫ(1)!஻>0,Xxe((M]Y/(x)>0,g(x)<0ᡠr/(x)>g(x))2

30xa

31x_21nxx2---->-----e>----Xxe(l,+oo)Yᵫ6x-x,"◤$x,ex2e2Inxு--s-ᓽ$%ᔆ.B(X)=J(x>l),%'(x)=a?e>0,(@xxᙠ(L+8)}ᓫ⌴~ᡠr/(᜜>%প=e8/ஹ2e2Inx/T/ஹ2e2(l-21nx)@%(x)=k(x>l),%(x)=-pᵫ%'(x)=஺.¢Xxw(l,£Y,ᱥ(x)>°02(x)ᓫ¥⌴~;Xxe¦+8YO2'¦x§0,92¦xᓫ¥⌴X¨=¢Y/(x)gx=/(A)=e,ᦑ%(x)4eᡠrª¦X««2¦X}X0§஺42Yfhxi-ghxi^¬$®ᡂ°±²³´ὃ¶⚪Ḅᑭᵨ¹ᦪ$®^¬Ḅº⌕ᨵ¼½¦1^¬¼¾¿À᪀⌼+ᦪᑭᵨ¹ᦪẆÂ+ᦪḄᓫ¥ឋ+ᦪᨬᓽ8¦2ÃÄ^¬ḄᱯÆÇÈᡂ°É⌕$Ḅ^¬ÊËÌÍᵨP$ᐜÏÐÑÒᓄÔᡈὅ
×ᑭᵨ¹ᦪ$®.22.প¦X-22+/=4818⚓/28⚓

32(2,2A/5](2)ூᑖ᪆௃(1)ᵫ⚪d=4pcos*ᑭᵨ᩽ᙶ᪗ÝᓄÔᓽ8(2)wÞß/Ḅàáâja,ᑏÞßḄäᦪåὶçèßCḄêëåᑮíîïᳮ,ÒᑭᵨíîïᳮDäᦪḄñòbó.(1):ᵫ᜛=4COS°,ᦑp2=4pCOS஺,ᵫ6᜛2=*2+ᵬ2,0856=%ᡠrèßCḄêëåjø+/=4x,ᓽ(X-2)2+V=4(2)wÞß/ḄàáâjJx=/cosaᑣÞß/ḄäᦪåjL=l+'sina(/±äᦪ)úᐭf+y2=4xᓄÔ.t2+2(sin0Isina-2cosa|>l,wᐸ¼᪷ᑖ?j4ᑅ,ᑣ4+4=-2(sina-2cosa),ÿ=1,ᵫᦪḄ+11=+|=|A+U=21sina-2cosa|>2,ᚖ).2sina-2cosa=4ssin(a~(p)ᐸ#“s᜛-g,sin^-5ᡠ*|sina-2cosa|4,ᦑ|.+|.8R2ᦑ|1+|2|Ḅ3467(2,2]S-1]U:,+<»]23.(1)L3Jফ23]ூᑖ᪆௃(1)ᑖCDEF4GHIJ19⚓/N28⚓

33(2)᪷P஻Ḅ4ᑖRDE,Sᓄ7ᨬ4ᡂWHI(1)3x-l,x>1/(x)=2|x|+|x-l|=1fOay/(x)=0\,_3x+a,x<0ᡠ*/(X)ᙠh°,+°°)ᓫz⌴|,ᙠ(7°,°~ᓫz⌴,ᵫxeh-l,2~\,22f|«|>2■/(-1)<6<2+|-l-a|<6ᦑ1஻2)46ᓽh4+|2-446,a<-2ᡈa>2<-5