2022-2023学年黑龙江省哈尔滨高考数学押题仿真测试模拟试卷（四模）有答案

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e+e2,AC=2he-ea>0,b>0,$t221-t—A,B,C'(ᐳ!ᑣ஺6Ḅᨬ*A.8B.6C.4D.210.+,/X-.ᙠR0Ḅ1ᦪ/Qx+13Ꮤ1ᦪ5/+23᜻1ᦪᑣ9ᑡ⌱⚗=>ḄA.1ᦪ/“ḄᕜA32B.1ᦪ/,XḄᕜA33C/
2020=0/2021
=0D11.᝞C1ᡠEF!ᐹᨵᐝJឋLMNEF!Oᯖ(QRḄᐝ!EF!S☢TUᐸTU22E:—z——r=1“>0,Z>>0
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53,4,5,6ḄtᨵuvwMN⌕hijᦪ*x18.yz{ᙊ}~ᱏḄᙊ°,48=2,ᙊᕜ+ᨵCஹ஺.᝞71AAOD=--cc6,8஺+.N8~ᱏᢚ4☢°,PD,PC,CD.1N8஻☢஺O!஺Ḅ(2kᙠᙢwO•¢£┵-COD¨!7©O0ᑮ☢«CDḄ¬.19.ᙠজ$3=2%-15,ঝ஺2+6²,%Ḅ³]⚗ঞ2S”=஻'-3/¹0.¢ºᩩ¼⌱{º½yzᩩ¼⊡ᐙᙠ+☢ḄᡂÁᯠÃÄÅ⊡ᐙ\ÆḄ⚪.yzÈ⚗³ÉᦪᑡËÌÍḄÎ"⚗ÐS4=3,ÑÒÓÔ◤ÕÖ.1!ᦪᑡË"×ḄØ⚗ÙÚ(a=b--"4ÜফÞ“""!ᦪᑡ1ḄΔ⚗Ðàáâ⌱ãäºᩩ¼ᑖåÄÅᑣᢥºÄÅçᑖ./ᔆஹ/.=éê20.yzë°ḄᙊÞᙊ7Që

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94.Dூᑖ᪆௃᪷Àᔠ:ÁÂᐺᭆÄḄᭆ᳛»{§¸¼½.ூ}௃Æ35ÇᐰÉÊḄËᳫ25ÇᐰÉÊḄÍᳫÎÏ᣸ᙠ4ÑᐳᨵCC=10Ô᣸Õᐸ25ÍᳫyÉ×Ḅ᣸Õᨵ0¢=6Ô—=0.6ᡠX25ÍᳫyÉ×Ḅᭆ᳛1஺ᦑ⌱¢D.5.Bூᑖ᪆௃᪷ᡝ=12,32=0+2)62=0+2+3)¢102=(1+2+3+4)2,Þßᐸàá§NP+2,+3'+4'+5^+63+…+஻3=(1+2+3+4+ூ}௃13=12,]3+23=32=0+2)213+23+33=62=0+2+3æ]3+23+33+4.3=102=(1+2+3+4)2᪷rçàáNᡝ+2?+3^+4?+53+6'+…+/=(1+2+3+4+—+஻)-J஻(஻+Dè/+2஻3+/4ெ2)=4.ᦑ⌱¢B.6.Aூᑖ᪆௃ᵫëì¼᪀SḄîᓄ§:Sᕈᕜñ{ᑭᵨᕜñ¸ôᐭḄS.

10ூ}௃s=-ᵫëì¼᪀§:S=2,k=0,S=-l,k=l-2,k=2.S=2,k=3,…ᡠXsḄX-1,2,2Ḅ{ëì(*=1,2,3…),ö÷=20222022=3x674,ôᐭḄS=2.ᦑ⌱¢A7.Bூᑖ᪆௃᪷øùḄᚖYᐵ]Ḅüᓄ§ᑨþABḄ¶ÿ᪷ᐵḄᓄᑨCDḄ.ூ௃A,a//"'a,ᑣ",!"ᡂ$ᦑ“஻'a”*“஻,£Ḅᐙᑖ.⌕ᩩ1ᦑ┯.AB,4uaᵫ6☢ᚖ9Ḅᑨ:ᳮ<=",᜛ᑣC/7,?ᡈ4uᨴᡈCDEFᙳHᦑI7<=஽,K,D*&M/ḄᐙᑖO.⌕ᩩ1ᦑBP.C,muanila,ᑣ4஻ᡈQ☢R஻"/"஻஻᜛ᡈ”ua,ᦑᵪ/a”*⊈/஻ḄUOᐙᑖ"O.⌕ᩩ1ᦑ┯.CD,K஻a,ᑣ⊈஻ᡈ4u#ᡈCᑖEFᙳH4஻ᑣK/aᡈ4ucᡈK,aEFᙳHᦑ“K/a”*ḄUOᐙᑖ"O.⌕ᩩ1ᦑD┯ᦑ⌱=B.8.Aூᑖ᪆௃᪷2sinl8o=m,Z[\ᦪḄ^_ᐵ`abc`de[c`ᓽg.ூ௃᪷⚪i

11_4cos72oV4-4cos272°_4sin144°_4sin(90°+54°)_4cos54°_ᑣ2cos2270-1cos54°cos54°cos54°cos54°.ᦑ⌱=A.9.Aூᑖ᪆௃᪷ᔣqᐳ6:ᳮ<ᑮ஺+26=1,v᪷^_Ow`gxyz.ூ௃ᵫB,CZ{ᐳ6ᡠ}ᔣqRஹᐳ6ᡠ}ᙠ&R,<=ᓽ(”1)M+"2=e2),ᓽ(a-l)e,+e2=2Me-Ae2,tJ஻-1=2b2ᵫOஹ&Oᐳ6ᡠ}11=-',<஺+26=1,21(2+(0+26)=4+41+2ஹ᥅=4+2x2=8+ᵫ஺>0,b>0,ᡠ}Qb=1஺b)baNba1/1a=!b=—2,4wᡂ$.ᦑ⌱=A10.Cூᑖ᪆௃xᵫ/(2x+l)Ꮤ\ᦪ

12஻X)=஻T+2),ᵫ/(4x+2)᜻\ᦪᡠ}/(4x+2)=-/(-4x+2),ᡠ}/(x+2)=-/(-x+2),ᡠ}஻x)=-/(x+2),ᡠ}f(x+2)=-f(x+4),ᡠ}f(x)=/(x+4),ᓽ\ᦪ/(X)Ḅᕜ4,ᦑABOP¦§0+2)=-§0+2),ᓽ/ফ=0,ᡠ}஻0)=஻2)=0,ᡠ}/(2020)=/(505x4)="஺)=஺ᦑcP“2021)=/(505x4+1)=/(I)ḄOP:,ᦑDOP.ᦑ⌱=C.11.Dூᑖ᪆௃¯|“ᵨ|=஻?|8/=஻ᵫ´µ6Ḅ:<¶ὡ|,ᙠ9[Z[¸,ᱏ8ᙠº"6"¼ᵨ┦[Z[\ᦪḄ:ஹ¾¿:ᳮdÀÁ:ᳮᓄÂ᦮ᳮÄÅ᳛c`<ᡠg.ூ௃ᵫ´µ6Ḅ:

13COSN8/C=-3cosZF^R=-ᵫ5,<5,«•/aAU_2a+n4ᙠ9[Z[¸“ὡ8'2~2a~5,জ+m(2a+n)2+(m+n)2=(2a+tn)2ঝ3,E4c2=nr+(2a+m)2-2m(2a+/w)--AXEᙠº“ᓰ<'''5ঞ2a4an=——m=—ᵫজঝ<3,3,,,16/100/8a10஺34c_=____τ________x__x-Îᐭঞ<99335,ᓽ9/=17”cV17e=—=-----ᑣa3,ᦑ⌱=D.12.Bூᑖ᪆௃p-i,—1ஹ)=—1?(,Ò)ஹ¯g(x)=(l_x)lnx+X(l+x),ᑣg(x)ᨵÔÕOw]Ḅ×{v᪷XX.,Ø1x—_g(x)Ḅ×{Ù᎔ᦪᑣÛ=1,°<1,'Xஹᑣ7+Ü+J_]=(X|+%)஽2+M3)(⌨+v)'xj_,ᑭᵨX|>1gxyz.ூ௃ᵫ()=(1-)%+/1(1-)=(1_)[(1_M)1á+/1(1+ᑗឤᨵ×{[,äg(x)=(l-x)lnx+2(1+x),ᑣg(x)ᨵÔÕOw1Ḅ×{g(—)=(1—)ln—+2(1+—)=—[(1-x)Inx+2(1+x)]=—g(x)ᵫXXXXXX,ᡠ}g(x)Ḅ×{Ù᎔ᦪᑣ.ᯠæÕᜧ஺è1,éæÕᜧ1,ᡠ}஽T,01“-ᓰ(11(1V(1]ᡠ}3+"2)(/2+M3)ëX]᳝IX1)\X\7

14211ct=X+—Z=Xj+—>2xäñᵫX|>1,ᡠ}X|,ᡠ}òó+஽ô62+ஹ3&+᳝ô=«+12_1>ò2+12-1=8,ᡠ}ò+/ôò2+Wô஺3+᳝ôḄöøò&+8ôᦑ⌱=BJlòXôô=ᐵû{{ü=¯gòxô=òl-xôlnx+d+Xô,᪷gòx\gXgxḄ᎔ᦪ⚪ᐵ.13.4ூᑖ᪆௃ᑖX,y!"#ᓽ%&'(.ூ)௃ᵫ⚪%+/9="3+"3=2,/81=/9+/9=4ᦑ4.14.18+1272125/2+18##ூᑖ᪆௃89:;ᙶ᪗>ᑭᵨᑜᑡCᓄE%&FḄGHIJKLᐭ2,NO%&Pᫀ.ூ)௃R48Ḅ:SXTSUᨴ8Ḅᚖ:XᑖS᜛T89:;ᙶ᪗>Z=[ᑣ]1,0,81,0,_Px,y,ᵫ▀bc7⚓/e25⚓

15ᡠR2JH+V,jᓃkXIl᦮ᳮ&X-32"+F=8ᡠRFḄGHRq°ᙊt2uvwḄᙊy2=8_x_32g_2y4x43+2z=x2+y2+l=x2+8-(x-3)2+l=6x<18+1272ᑣᨵ2᯿+▀2ᡠR2Ḅ#18+12⊈.ᦑPᫀ.18+1215.24ூᑖ᪆௃᪷°C,FFFjjᚖ:%+┵F-CEFḄ᜜ᳫRFGPE,FḄIḄ᜜ᳫᓽ%ᐸ᜜ᳫvwK᪷%ᐸᑁᑗᳫḄvwNO&.ூ)௃ᵫPC,P£,Pkjjᚖ:ᡠR┵F-CEFḄ᜜ᳫRFCPE,¡ḄIḄ᜜ᳫ_ᐸ᜜ᳫvwR,uI£k2,ᡠRPC=2,=PF=\,PE________¤=⌭ᓽ2R=jF+V+z?,&.2ᵫ┵FbCEFḄ⊤☢SᓽuI£Ḅ☢S=2x2=4,_ᐸᑁᑗᳫḄvw¬

16”,."P-CEF=-x-xPExPFxPC=-x-x\x\x2=-,=1ᡠR32323,333,ᓽ4.67=3=2ar®4¯⚪°⌕ὃ³┵Ḅ᜜ᳫ´ᑁᑗᳫḄvwḄµᙠὃ³ᐜ¸Ḅᦪ¹º»¼½¾¿Ạ⚪.য3஺2]”9,10]ூᑖ᪆௃᪷uÅÆᦪ#Çᓽ%ᐔv#ÊᜧḄÌÍÎᑣ᪷ᐸÏÐᓽ%0)ᐵ᦮ᦪkḄÒÓkᐹḄ᦮ᦪᓽ%3ḄᐹÒ.ூ)௃Õsin0ᓛ=1Ú/GÛ#3Ê71;Æᦪ/GᙠkN]ÌÆᦪ᪷uÅÆᦪḄឋÝ%+,ÍÎḄÞᨬàuÅáÆᦪᨬ¬uᕜãḄbv,717171F42äå,b=æV-T...——...—CD412ᓽ461226co6ᑍ7,n7712kᐔ/,71IkTr-+2%ä”cox<—+lk7r----+----

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6
◤ᦪூᑖ᪆௃(1)ᐜᑨ᪗Ḅ
!ᯠ#ᑡ%&'()(2)᪷,-./᪵12'(3!ᯠ#ᑖ4567'(.(1)ᵫ⊤';31
Ḅ᪗<=165-105=6032
Ḅ᪗<=171-105=6633
Ḅ᪗<=160-105=55)4
Ḅ᪗<=173-105=68)5
Ḅ᪗<=08-105=73)ᦑ3
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᪗HᑗJ1=(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)ᐳ10Mាᨵ1P᪗ᒹRJ1=(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)ᐳ6M!ាᨵ1P᪗S=4,ᑣUভ=W(2)-165+171+160+173+178+167x=---------------------------=169ᵫ[6,-60+63+6247071+58.y=---------------------------=646,,-\]./^᪵1069,64),(64=0.65x169+),ᓽ3=-45.85,ᡠa,-\]./=i=0-65x-45.85,67ᑖ᪆3

18e=62-0.65x160+45.85=3.85,3!=70-0.65x173+45.85=3.4^=71-0.65x178+45.85=1.15)3=58-0.65xl67+45.85=-4.7,ᦑ3
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