2022-2023学年山东省烟台市高三上学期期末数学模拟试题（含解析）

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2022-2023
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52ூ_⚪#᪆௃ᑖ᪆.(1-a)2<(2a-l)\ᑖMNO/(x)>0P/(x)<0ḄxḄRᵫ&'(2ᓄ53/_2஻>0,45஺>3ᡈ/0,ᓽ…)U5᪍+1).ᡈ/+1)WXYae(-oo,0)u(g,+8).ᦑ⌱.B.95OHᫀ.8-4ூab௃ூᫀ௃CZ4.ூ_⚪#᪆௃ᑖ᪆.4.[;\]ᙠRḄ᜻ᦪ/(X)ᙠ(0,+8)ᓫ⌴`᪷⚪Ḅᦪᙠ[1,2)ᓫ⌴`ᦪᐵ-ᡠᦪ/(X)ᙠ(-8,0)⌴`஻0)=0,x=l⚪ᓄ;+1-12-1|,45Hᫀ.a/(b3)=0,/(3)=0,Z4.ᑣdxw(-3,0)ᑛ(3,+8)g*/(x)>0,Ḅ,஽€[1,+8)(¢*஽)ᨵdxw(-00,-3)3஺3)g,/(x)<0,/ಘ-/(*)>0,ᦑᦪᙠ[1,+8)ᓫ⌴`.x-xᑣᵫ&'(Mix+1)40,2]/x>0x<0/(X+1)xᏔᦪBP/(x+l)=/(-x+l),ᦪᐵ-5[/(x+l)40ᡈ1/(x+l”0’X=1.fx>0[x<0ᓽ4ᡈ4,ᦑᦪᙠ(-8,1)ᓫ⌴[x+l<-3»!c03/(/M+l)>/(2m),ᦑ§+1-1¨2஻-1|,5ᑮ4504x<2ᡈ-4WxW-l,ᡠ.y(x+l)40ḄxḄvwRx3ᦑ⌱.C.ᦑ⌱.C8-3ூab௃ூᫀ௃B8-5ூcᓣ௃ூᫀ௃Aூ_⚪#᪆௃ᑖ᪆.ூ_⚪#᪆௃ᑖ᪆.᪷ᦪ/মḄᓫP᜻Ꮤឋ~&'(ᓄ;dᵫ⚪z/(X)ᙠ(-8,0]ᓫ⌴ᙠ(0+8)ᓫ⌴`xe(0,2]gb>-{x+Y)a-xlᙠVae[-2,2]ᡂᵫ/(l-a)+¶+6)>09Xᡠ/(x)ᙠ(-00,0]ᓫ⌴ᑣ/(X)ᙠ(0,+8)ᓫ⌴ᣚ;/(஺)+/(2+஺+¸>0,`[;᜻ᦪ/বᙠRᓫ⌴`[;ᡠᡠf(x2+ax+b)>f(-a),ᑣx2+ax-^-b>-a55/104»>

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2=8,dödZ4.஺=6=2gv'øCFG¿[;dX3,€[-1,0]Xä஽gÖb/Õ஽Öå0,111Uஹ,11ஹ1baஹஹ1Jbaஹ<+1=.zÕ4+g<+h=—Õ2+—+—Öã—Õ2+2J---=1_XÖ-x2ab4ab4ab4ஹabdöda=b=2gv'øDFG.&æçèåé2ᑣê-஽å0,ᦑ/Õ%Ö-/Õ*2Öã0,ᦑ⌱.ABCD«<56/104

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66ᨬWᵫ8஺=2&BP=DP=±,EN2ᦑtanZEGN==LNGᨬWNtan/EGN“erBP1+DP2-BD2NGNG41ᡠ)cosZ.BPD-----------------2BPDP123ᨬᜧᓽLÓ=5NEGH%☢8CCᵫᡠᡂḄᨬᜧDsinABPD=,34_272_ᡠ¢ABPD᜜uᙊç2'==3ᦑ⌱ACDë12-4ூ௃ூÕᫀ௃ACDᡠ)²³┵P-48DḄ᜜uᳫḄçூ×⚪"᪆௃ᑖ᪆2R="(2)+4P2=A/9+2=VTT,9A,ᯠR஻%☢48஺ᡠ)IᙠÙ4ÚÛNᡠ)²³┵P-48஺Ḅ᜜uᳫ⊤☢.ᑮ%☢AஹBDḄÜᓽAP"T9B,ᵫPᙠ8Q«ᱏ஺1஻8஺ᦑ-☢A8C2,ᦑ⌱ACD0ᕜßᓽAT12-5ூíᓣ௃ூÕᫀ௃ABD9C,L7PBQh7Nᵫ44GR#,ூ×⚪"᪆௃ᑖ᪆ᡠ)4I42,ᓽAPᑮᚖT᪷#,Ḅ-☢$☢ä⚪²³┵Ḅ,.9D,§☢ᚖáḄ᜜uᳫä⚪L7På஺hä⚪⌲?ᑖ᪆⌱⚗ᓽA.E"7N4I8a,XÓ᜜uᙊç2r,ᡠ)²9A,OC.«7K,1RP=QKtu³┵P-48DḄ᜜uᳫḄç2R=è2ᶭ+4I,KP,KC,AC,,ᓽAP".᧕ðKP஻&GE"K#,h4c஻4G9A,ᵫ42஻8஺ᯠᱏê஻%☢480,ᡠ¢KP஻4C,§PeBiR,ᡠ¢pᙠÙ4ÚÛNᑮ%☢4BDḄᡠ)»¼PKC4¦§P,4c²7Ḅ#,Ḅ-☢ñ§ῪÜᦑA9ᡠ)²³┵P-48஺Ḅ,.(SᦑAT9B,ᵫIᙠ8a«ᵨ2஻8஺ᦑ-☢ABCAUᡠ)-☢ᕜß6/ᦑB┯gT9C,L7P8ah7Nᵫ44GR#,ᡠ)4I_LBQi§BD஻BஹD\,ᡠ¢4P1BD,ᦑCT9D,L7PBQh7N&P*,9B,tuNN,஺4,òßóIôḄòßR,ᡠ)ᙠ#,h4I%☢BOPU²³NR´DµrQ,69/104»>

67FMḄh7ᵫÎAð,ᙠ#,h%☢/BCD/%☢ᡠ)LI7öᓄN²³┵M-/5NḄø]ö,%☢ABCDn%☢BDD[Bஹ=BD,AN1BD,ANuᡠ)ù-x&v§?(Ḅ,%☢ABCD,ᵫÎAðú-MNP=—P-ABN—VM-ABN,ᡠ)/N\%☢,ᡠ)²³┵8-MNPḄ,.§(S,ANᡠ)4RNᓽᡠ!☢ᦑsin4RN=——ᦑC┯ARᐸhAN=-AC=-yjAB1+BC2=-VF+F=,222ᦑLAROᨬWSNsin47Wᨬᜧ·NAPH%☢8஺2ᱏᡠᡂᨬᜧSFI¨4஺«Ḅ¬7ᡠ)LI7õ¬ᑮR7NZPᨬWSᓽ4PH%☢ûᡠᡂᨬᜧ,D,஺D4,OC,Z)Aᑖxy,tuzᙶ᪗#᝞%&஺'=஺,ᑣᵫ⚪üAD=dAAz+&Dz=VF+F=2V2,tZ(2,0,0),N(l,l,0),P(a,0,2),_./,…rAN1ᡠ)sm/Z£>|N=F=]AD2{TTᡠ)U4Ný6ITᡠ)ZIPH%☢BORAᡠᡂḄᨬᜧSm,6ᦑB9NP=7(«-1)2+(0-1)2+(2-0)2=J(a-l>+5,Ꮇ&,ᙠP,-./P+NP=30/I/P+NP=¶("2)2+4+J(a-iy+5=309C,tuI4PN,P5,MTV,,,ᡠ(J(a_2/+4'=(3JI-l>+51,᦮ᳮ.q+8=3j2/-4a+12*Fᙠ²³┵I-/BNhÿ☢A/5NḄ☢,2,(a+81=4/6+9,ᡠ/T&VḄᓄ;᦮ᳮ.17/52a+44=0,ᐸᙠ┵BN☢A4BNḄ☢«<70/104

68A=-52
2-4x17x44=-288<0,ᦑ>?@ABᡠC,ᙠ'-.AP+NP=3ᦑD.ᦑ⌱FABD12-6ூHᓣ௃ூKLMᫀ௃ABDூO⚪B᪆௃ᑖ᪆F⌱⚗C,Z8U,DD,ᓃxhMV,MU,NV,NU,RST8,N,PḄU☢ᑨW⌱⚗AYZ4஺஺,ᑣ☢b"UNZ/BCDKkjf?b[\ᐸ]^⌱⚗BYT/VW_☢`aḄ`☢UK?Ḅ᜜hᳫT8,C,M,NkḄᳫᡠᳫb.SḄcdeᑖf?bᐸ᜜hᳫjTC,M,B,NkḄᳫᵫmn.ᳫdo.⊤☢ᑨW⌱o?=3,doR=⊤☢⚗CYq஺ᙠ4஺rstLU☢ḄuvᑨW⌱⚗D.wBFA.xh48,AP,CDஹ,K?b᧕zC0஻48,y|ᨵᑖGAGCᑣPN஻CAᡠ¢PN஻4B,ᓽ4P,N,8kᐳ☢ᡠq஺_⌱⚗D,K?bM,Nᑖ/4CCᑣᔠt]^8,N,P,஺kᐳ☢ᦑ⌱⚗AKLYMN//4G஻AC0ᙠ4A◀᜜᝞%RQE&G"E,xhEN,fDCfK,xhQMfDAfT,xhTK´ABG,BCF,uQENFGMᡠTM,N,QḄU☢B.᝞%Z4A஺xh'஺QM,4GᵫK?bḄឋ9zuQENM_uFGMNᐰᑣU☢u.M,Nᑖcqᑣ4M_£N`aq஺_ᡭᔠt஺_EᔠmtU☢ᦑku`akuᡠkuu.MN஻A\C\,|'GAᡠPQ஻4Gᡠq஺_4ᔠtG_Eᔠ,mtU☢'Q஻MN,ku¡u.MNuS☢BMN,P29S☢BMN,ᡠP0஻`☢¢T0,M,NḄ`☢UK?bBMN.ᦑ⌱⚗BKLYABCD_AஹB£Rᡠ.U☢%uC9£¤u.ᦑ⌱⚗DKLY71/104»>

69wBF%+%=2%=14,ᡠ4=7,|q=3,ᡠÐÇd=2,ÛÜé=3+2/n-1=41,B.஻7=20.ᦑ20.T13-4ூßà௃ூKLMᫀ௃6ᦑ⌱FABD.ூO⚪B᪆௃ᑖ᪆F¨F┵᜜hᳫ¨F᪷ÎÇᦪᑡḄឋä9.2%=q+Ḅ=2,ë=1|n┵᜜hᳫt©ª?«ᨵ¬Fh«,a+4a+a=6a,ìᐭᓽ9.B.4565⊡u.B⚪t⌕°±ᑖ᪆%u²£ᔲ´wBF┵⊡uᡂ¶K?bf?b·£ᑣK?bf?bḄ⚔ᙳᙠᳫ☢K?bf?bḄb᪷ÎÇᦪᑡḄឋä9.F+%=2%=2,fᳫḄo.ºh«┵»¼¬ᡠḄ=1¶☢T᜜½ḄᚖḄᓽ┵᜜hᳫḄᳫ½.13-1ூÂẠ௃ூKLMᫀ௃58|4+î=2%,ூO⚪B᪆௃ᑖ᪆Fᡠ/+4஺5+஺6=6஺5=6,ÆᔠÇᦪᑡᑡ?@nB.1=4=2,Ì᪷ÎÏ⚗Ðᦑ6ÑnBᓽ9.13-5ூHᓣ௃ூKLMᫀ௃8wBFூO⚪B᪆௃ᑖ᪆FÒ%ÔÇᦪᑡ6+஺3+஺8=24,4=4,ᑭᵨÇᦪᑡḄÂïðrñ9.✌⚗åÐÇóÜᓽ..3q+9"=24,ᡠ=4B.4=4=2,wBF2al+2d=2ᡠ,9=4+2x27=58.&ÇᦪᑡÒ%ÔḄÐÇd,ᵫ⚪¼z:2஻[+6d=4ᦑ58113-2ூÂẠ௃ூKLMᫀ௃81%=5B.FூO⚪B᪆௃ᑖ᪆Fd=-l2᪷ÎÇᦪᑡÏ⚗ᓽ9nB.ᡠ%+%=2%+14d=2xY+14xY=8,wBF%+4=2%=14,ᡠ%=7,|4=3,ᡠÐᦑMᫀ.8஻213-6ூHᓣ௃ூKLMᫀ௃—Ç4=2,ÛÜa”=3+2x39=81.2ூO⚪B᪆௃ᑖ᪆Fᦑ81᪷ÎÇᦪᑡḄឋäÆᔠøzᩩúᓽ9n.Æû.13-3ூßà௃ூKLMᫀ௃20wBFூO⚪B᪆௃ᑖ᪆FᦪᑡÒ%ÔÇᦪᑡᦑé+஺2“5=஻=2%BᑭᵨÇᦪᑡḄឋänSqåd,ᯠè᪷Î=41ᑡ.%=]?@nBᓽ9.«<72/104

70ᦑMᫀ.þ1=%+%+%+%+…+஺2“-3+஺2“-1ூᫀ௃114-3ூab௃ᑣT"-«„_,+a„_+%”-5+,,•+%+4223ூ_⚪#᪆௃ᑖ᪆Qᦑ᪷!"#ᦪᐵḄ'21=(4++%.-3)+…+(%“T+)="X2%=/cos/?=-;sinp=»B.cosa+/7
=-⌳+ᑭᵨ./Ḅ0ᦑMᫀ.—1ᫀ.__________214-1ூ]Ạ௃ூᫀ௃246+750ஹ791cos2/7=2cos-J3-1=--,ᓽcos~P=~ூ_⚪#᪆௃ᑖ᪆FTT᪷Îᐵ
ᵫᯠᵫ4᜛eg"
Ḅᓽ
.ᡠcos஻<0,ᡠcos/?=-7,sin8=-cos?᜛=43a┦cosa=y,ᡠsina=g,TTTTa£:0,3;,/?€:y,7l
,ᡠsin2a=2x—x-=—•cos2rz=2x|—|-1=—.552515)25ᡠ,74sin(a4-^0)=—>0,2473+7sin2a+—=sin2acos—+cos2crsin—ᡠa+8ᐔ)I6)6650ᦑ246+7Bcos(a+£)=-yi-sin2(a+/?)=,50914-2ூ]Ạ௃ூᫀ௃-1ᡠூ_⚪#᪆௃ᑖ᪆sina=sin(a+^-/?)=sin(a+p)cosp-cos(a+᜛)sin/?ᑖ᪆
C(cosa+sina)(cosa-sina-0)=O,ᑖ7n4>/22A/21671=mx-H-------------X-----------=—cosa+sina=0ஹcosa-sina=72FGHIJ,939327-27-3ᙠLMNOPQ
Csin2aḄR.cos2a=2sin(?+aj,ᑣ-4-V214-4ூab௃ூᫀ௃6cos2a-sin2a=V2(cosa+sina),ூ_⚪#᪆௃ᑖ᪆:717171YZ
[.-a=---a---+—,ᑭᵨ0Ḅᡠ(cosa+sina)(cosa-sina-V^)=0,45\]
C.Tcosa+sina=0UNcosa+sina=0OPQ:
C1+sin2a=0,
Csin2a=-1771717171717U•••a+—+------a=—a+~Tcosa-sina=41U,Ncosa-sina=6O5204204PQ
C1-sin2a=2,
Csin2a=-l.716_aG(0,^),/.a+yG5TTVWᡠXsin2a=-l.73/104»>

714sin(a+`)=-§<0,ᓽa+?ᙠc"d▲,=7ᡈ(0$(&-1)=-2(gh)215-1ூ5௃ூw1ᫀ௃x-ᡈ-2e“eᑣcos1-20-aJ=cosூz⚪᪆௃ᑖ᪆ᑭᵨᦪẆᓫឋ#ᦪḄ᩽Rᓽ
.n(.K.(KY{2&)4i(\\-4-V24I5J4I5)2I3J2I3)6ᵫ⚪/'(x)=2(x+l)eஹ,ᦑTx<-lU/'(x)<0,/ಘ⌴;67Tx>-lU/'(x)>0,/(x)⌴714-5ூtᓣ௃ூw1ᫀ௃xy2ᡠ“X)Ḅ᩽R/1-1)=--.ூz⚪᪆௃ᑖ᪆eᦑ|ᔠ~[ᩩᑭᵨᓽ
.e315-2ூẠ௃ூw1ᫀ௃77ᡈ1.5ᵫ
[2,J7T_ஹ.,7T71_ஹ,71_xஹூz⚪᪆௃ᑖ᪆sin(--2a)=sm(y-\---2a)=cos(y-2a)=cos(2a,ᐜ/'(x)=0,|ᔠ#ᦪw¡¢#cos(a-)=x65ᦪឋw¡᩽R£¤B᩽R.ᡠsin(-^--2a)=cos(2a-y)=2cos2(cr-^-)-l=--.ᵫ/")=(¦+1§¨-5x22_7ᦑ1ᫀ.-(/'(X)=ex+,+(x+l)ex+1-x-2=(x+2)(ev+'-l),14-6ூtᓣ௃ூw1ᫀ௃ᡈ0.254/'(x)=0C%=-2,ᔛ=-1,Tx<-2ᡈx>-lU,ூz⚪᪆௃ᑖ᪆/«)>0,TU/'(x)<0,2cos(2a+g]=7sin(a+.Jv-2ᡠ#ᦪy=(x+l)e"i-2xᙠ(—x2)Wᓫ2cos[2(a-y)+71]=7sin[(«_y)+yl|ᔠ⌴ᙠ(-2,7)Wᓫ⌴ᙠ(-1,ᵪ)Wᓫ⌴,ᓄQC1ᫀ.#ᦪḄ᩽R£T,ᡠ#ᦪ°=(x+l)e'5-1-2xḄ᩽Rᵫ2cos[2a+—\=7sin|a+]
C/(-D=1.7T7TIt2cos[2(a-y)+7i]=7sin[(a-y)+—],ᓽ-2cos2(a-)=7cos(a-g),ᑣ15-3ூ±²௃ூw1ᫀ௃38.2/7C_/7C.-4cos(a--x)+2=7cos(a-—),ூz⚪᪆௃ᑖ᪆ᓽ4cos2(a-■1■)+7cos(a-$-2=0,᪷⚪³Cm=I,஻=3ᡈ஻?=2,஻=9,µᐭ·'(X),«<74/104

72ᑭᵨᦪC#ᦪḄᓫឋ|ᔠ᩽R£Ḅᭆ¾ᓽ*30*U/'(ß->-8,
.Txf+ooU+8,ᡠÜᙠáxḄᵫ⚪³#ᦪ/஺)=À+6Á/+4+8Ã2,
Ce(0,4-00),âC/'(%)=0./'(X)=3x2+\2mx+4n,Tx«O,x°)Ur(x)<0,/(X)ᓫ⌴7#ᦪ/(x)ᙠx=-2ᜐÇC᩽R᩽R0,Txe(X0,+8)U,/%x)ு0,/(X)ᓫ⌴./(-2)=12-24m+4/7=0ᡠ஻x)Ḅ᩽R.(0)=6"-“111%=4,
CC/(-2)=-8+24m-8"+8/=0ᱥ=çÃ=1,஻=3ᡈ஻2=2,஻=9,èTÁ=1,஻=3U/,(X)=3X2+12X+12=3(X+2)2>0,ᡠ‘■x“lnx()=a,ᓽí--Inx஺=1,x஺x0TÊTx=-2UÇNËg(x)=/-lnx,g'(x)=_3_<0,ᡠ/(x)ᙠRWᓫ⌴Í᩽RyÎᔠ⚪³7ᡠg(x)ᙠ(0,+ðWᓫ⌴4gপ=1,TÃ=2,Ï=9Uᡠ=1,òBa=Xoe*=e./r(x)=3x2+24x+36=3(x+2)(x+6),ᦑeTx<-6U,/Ñ)>0,/(x)ᓫ⌴;15-5ூtᓣ௃ூw1ᫀ௃-4ூz⚪᪆௃ᑖ᪆T-6-2U/)>0,“X)ᓫ⌴7ᓫឋ|ᔠ#ᦪḄᓫឋᓽ
#ᦪḄᨬR.ᦑ/(x)ᙠx=-2ᜐÇC᩽RÎᔠ⚪³.VWᡠXm-2,n-9,ᡠm+4஻=38.ᵫ⚪³#ᦪ/(x)=-J+ô-4,
Cᦑ1ᫀ.38/,(x)=-3x2+2ax,15-4ூ±²௃ூw1ᫀ௃eூz⚪᪆௃ᑖ᪆/(x)ᙠx=2ᜐÇC᩽R
C/"(2)=0,ᓽ#ᦪᦪᑖ#ᦪḄᓫÔÕ#ᦪ᩽R,-3x4+2ax2=0,Ca=3,᪷᩽Ra.ᡠ/")=-1+3/-4,
Cr(x)=Y/',(x)=-3x2+6x,xe[-l,l],Ø஺40,ᑣTxe(0,+co)U"(x)>o,/(X)ᓫ⌴/'(x)=0,Cx=0ᡈx=2,Txl0,᧕[/'(x)ᙠ(0,+8)Wᓫ⌴Tᡠ/(x)ᙠ(-1,0)Wᓫ⌴ᙠ(0])Wᓫ⌴,75/104»>

73ᡠTx=0U/(x)ÇC᩽R᩽R஻0)=-4.জ-./c,EF,ᵫ4G///CV£X஻4C1Zᦑ1ᫀ.-4ACJ/EF,ᡠZEFG34☢674G9FGᡠᡂ15-6ூtᓣ௃ூw1ᫀ௃5e-3ᡈèeḄ;(ᡈ⊡;).5cḄ?D-.G",FH,ூz⚪᪆௃ᑖ᪆᧕Z\G///73XG^HḄ6;_;I.`⚪a᧕ᵫ⚪³
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