2022-2023学年四川省南充市中考数学专项提升仿真模拟试题（二模三模）含解析

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2022-2023
ḕᓭᐙὃᦪ⚗ᓣ⚪Iᔁ⌱⌱
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19᝞>3ᡠ$|IAᐵH0PDḄIG,JKPG,~IP|PFlyHF,JKCG,@0POAxḄIPH,:.IHḄᙶ᪗P../nruOHG••tanZ.OCH----=—,OC3NOCH=30஺PF=-PC,2ᵫḄឋ6tAP=GP,0.AP+-PC^GP+PF,2...GஹPஹFIᐳGP+((ᨵᨬ¢£ᓽ/P+gpCᨵᨬ¢£;/ஹG¬IᐵH0(஺/4DC=90஺0.AD=GD,ᓽI஺P/GḄI•••I/Ḅᙶ᪗P(0,2),I஺Ḅᙶ᪗P(6,1),/.AG=2A0=2OA=4,ZC=4,ZCJG=60°,/.AACGZ}1♦0OC=OA,0.OG±AC,ᓽIGᙠx,ᵫ+,ᳮOG=442-22=2IIPqᑮ4IGP+(¯ᨵᨬ¢£ᓽᨴP+ᨵᨬ¢£ᨬ¢£ᓽPOGḄ,4(+gpCḄᨬ¢£P2JJᦑ⌱;C.RᫀT10⚓ᐳ59⚓

20k⚪±⌕ὃn³}1ḄᑨAឋᐰ}ḄឋAᑨµᦪA·¸oᔠᨬ¹ºOᡂ¼40}}|½¾I(Ḅq¿ÀZ4⚪Ḅᐵv.13.-20ூᑖ᪆௃᪷GÂÃÄḄÅḄÄ4ᓽ6.ூ94௃4;,Æ50ᐗÈ|+50ᐗÆ20ᐗÉÈ|-20ᐗ.ᦑ-20.k⚪ὃnGÂÃÄḄÅÊËÌÍÎtuIZ4⚪ᐵv.14.2ூᑖ᪆௃ÐÑÒ2a+bÔPÕÖᐰ×Øᐭ4.ூ94௃4;ᵫ2a+b-l=0,2a+b=l,/.4஻+2b=2`2஺+6M=2x1=2.RᫀT11⚓ᐳ59⚓

21ᦑ2.k⚪ὃn³ØᦪḄ£Ò20+6ÛPÕÖᐰ×Z4⚪Ḅᐵv.15.55ூᑖ᪆௃᪷⚪Ã@BC=a,Ül]ZC=2a,AB=^a,᪷ÝᑖḄឋyÞ☢àáᓽ64.ூ94௃4;ᙠzUBCZC=90°,VtanZ/l=—,HP-^-=—2AC2.,.@BC=a4Ü!jAC=2a4AB=BC1+AC2=K/Sa~ID|DELABHIE,ᵫ|>t8(ZḄÝᑖ,VZC=90°,0.CD=DE,cBCxCD3Ageo_2_"CᙠS^BD-ABXDEAB5'2RᫀT12⚓ᐳ59⚓

22ᦑ.5k⚪±⌕ὃn³ÝᑖḄḄឋ+,ᳮ4⚪ḄᐵvZᳮ4⚪Ãᮣãqᵨᡠätuᜐᳮᡂ¼.16.2cmூᑖ᪆௃JK|HE,0F_L4CHF,qᵨᙊᕜᳮ6ᓽ3OAOFXODE,ᡠy஺£=/F=—cw,᪷+,ᳮDE=4cm,ᙠ0/DE2᪷+,ᳮ6/£MḄ.ூ94௃JKO஺AD,|HE,OFUCF.᪷⚪ÃtZCAD=ZBAD,•"CD=BD>ðI஺Zñ3CḄI.ðZDOB=ZOAC=2ZBAD,./\AOF^/\ODE,3.,.OE=AF=—cm,2DE=2cm,53ó;/E=—+—=4cm,22RᫀT13⚓ᐳ59⚓

23ᙠᙊḄᨵᐵôõ|öḄö÷øZùúḄ½¾ûÕ.ÊËqᵨᚖOᳮஹᙊᕜᳮ+,ᳮ.17.1.52021.5ூᑖ᪆௃ᵫHIP/,(2,(3,…P2022ᙠÂþÿᦪ9᪷B23Ḅᙶ᪗XP2O22Ḅᙶ᪗᪷93Ḅᐵ᪋ᔢḄ.ᑭᵨ!"☢$%&ᓽ(XX).ூ+)௃)-Pl,P2,3Ḅᙶ᪗.13,5,345᜻ᦪᦑP”Ḅᙶ᪗.-2"-1;ᑣ2ᔬḄᙶ᪗.2x2022-1=4043.ᵫC9DᙠFᙶ᪗GHIJḄᙶ᪗3ᱏ3Ḅᙶ᪗Ḅ2LXXXXᦑMQ2H22Ḅᙶ᪗x4043=2021.5.NP2»2202O22=4O43-2O21.5=2021.5.3MQ2O22ḄFᙶ᪗X202R202[5']3••R4022஺2022ᦈ2022Ḅ☢$,ᯠ22322M2022=X2021.5x2Q2J5=^,^,112ᦑজ1.5;ঝ2021.5.]⚪ὃ`aHbcᦪḄឋeHbcᦪMḄᙶ᪗ᱯghijklmno3)⚪Ḅᐵp.18.rs&tḄ)u.1ீw4,xḄ)u⊤zᙠᦪ{|)᪆~rs&tḄ᦮ᦪ)32,3,4.ூᑖ᪆௃ᑖrs&Ḅ)u᪷-ᜧᜧஹஹᜧᜧᜮஹrᑮrs&tḄ)u.ூ+)௃ᫀ14⚓ᐳ59⚓

24)-)rs&x-4V3(x-2),x>l,l+2r)rs&ti+lNxw4,⊤zᙠᦪ{᝞£--1012345ᑣrs&tḄ)u.1ீw4,,~rs&tḄ᦮ᦪ)32,3,4.]⚪ὃ`Ḅ3)ᐗrs&t¥rs&)u3¦Ạ¨©“ᜧᜧ;;ᜧᜧᜮ;rᑮ”Ḅ«¬3)⚪Ḅᐵp.19.(1)|)᪆(2)Z£L>F=60°.ூᑖ᪆௃(1)᪷(/8=NC,ᓽ(¶RBDE¹ᓽ()⚪;ফ᪷ᐰs!"ḄឋeᑮNC£F=N8DE,S.ᑮNDEF=NB,ZUBC3s½!"ᓽ(ᑮ¾¿.(1))-'0AB=AC,0.NB=NC,ᙠA8OEÁACE/ÂBE=CF,4=NC,BD=CE:.OBDEQXCEF(SAS),0.DE=EF,.•.ROEF3sῪ!";(2))-VZDEC=ZB+ZBDE,ᫀ15⚓ᐳ59⚓

25ᓽZDEF+ZCEF=ZB+ZBDE,,:4BDEmACEF,ZCEF=ZBDE,0.NDEF=NB,Å-ᙠRZ8CÂ,AB=AC,ZA=60°,•**/\ABC3s½!"ZEDF=60°.]⚪ὃ`aᐰs!"ḄᑨÁឋesῪ!"Ḅឋes½!"ḄᑨÁឋeǨÈÉᐰs!"ḄᑨÁឋe3)⚪Ḅᐵp.1420.(l>/=-x-l,y*;2x(2)-2Vx<0ᡈx>4;(3)MCḄᙶ᪗.(2?20)ᡈ(-100).ூᑖ᪆௃H7(1)ÑMN(4,1)Òᐭy*Ô(Õ0),)m=4,ᓽ(HbcᦪḄ)᪆&×Ø8xḄᙶ᪗ᯠÙ᪷ÚᦪÛᓽ(ᦪḄ)᪆&;(2)᪷Üᓽ(;(3)᪷S4ABC=S4BCD+S"CDCD,ÝÞᓽ(DḄᙶ᪗.(1))-:HbcᦪàiM4(4,1),M3(஻,-2),x/.777=4X1=4,4♦HbcᦪḄ)᪆&.yx*/-2஻=4,஻=2,0.B(-2,-2),f4k+b=lÑã(4,1),B(-2,-2)Òᐭ(ä0)<»ᫀ16⚓ᐳ59⚓

26)“=E,b=-\.•.ᦪḄ)᪆&.y;x-1;ফm)-•.•ᦪyæ+6ḄÜHbcᦪã=—ÜèCM/(4,1)ÁM8(-2,-2),XᵫÜ(©éᑘ>”IëìíxḄï3-24;(3))-ðCgx-1,ñ0,òljx=2,0.D(2,0),ᵫ⚪ó-S^ABC=S^BCD+S^ACD=-CD-2+-CZ>1=8,22._16•—,2210••M஺Ḅᙶ᪗.(a0)ᡈ,0).]⚪3ᦪÁHbcᦪḄèMᡂõὃ`aÚᦪÛᦪḄ)᪆&ᦪÜMḄᙶ᪗ᱯg!"Ḅ☢$ᦪ"3)⚪Ḅᐵp.21.(1)430(2)ö÷øùḄúûᳮᵫ|)᪆(3)5850000ᫀ17⚓ᐳ59⚓

27ூᑖ᪆௃(1)᪷⚪óᑮýC25ýÁ26ýḄᑖ.430Á430,ᓽ();(2)᪷ᵬ÷øùúûÿ
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380ᐗᵬḄᓽ!"#(3)ᵨ'Ḅ(ᙳᦪ*+,ᜩḄ-ᦪ.*+/0ᓽ!".(1)"3᪷5⚪738925<926Ḅᑖ?430<430,.*./«=4303(2)"3•.•ᵬ
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3390x500x30=5850000ᐗ.P⚪Q⌕ὃTᩩVWJX

28•*-AD=yjAG2+DG2=W+272=9«28.4#ᚁ⍝ADḄoq28.4f#ফ7554ᵫ⚪7~+3=75+=஻?m45",m=15,3=15|}Ḅ".P⚪ὃT"VஹtuvᳮḄZᵨ+ᑖ|}ḄZᵨ"⚪Ḅᐵd᪷5ᚁq᪀⌼VᑭᵨVḄ£¤!".23.প¥"᪆Q)BE=6.CP,ᳮᵫ¥"᪆(3)§¨E"Ḅoᳮ.ூᑖ᪆௃(1)jGM_LBC8®£)/£1°®GMF,WAE=FM,AG=BM.ᡠ+B/NE+AG#(2)jEQ//CPkBC8஺.EQ=2CP,EQ=^BEBE=gCP'(3)j8M஻GFk/஺8A/,[BN஻EHCDᓟN,`4஺Ḅh/,`8cḄhJ,¶·V/A஻¸|V¹º஻ᑮZ,,»஻=/M=l,[®8/A/gZYR"(SAS),.[®MBK0®LBK(SAS),ÂzMK=KL,ÃKJ=x,ᑣMK=KL=KJ+JL=x+\,lK=2-x,ᙠRtAlMKᵫtuvᳮ!xḄÆ.ᑭᵨ(ǧᑖ§¨ᡂÉÊvᳮ.(1)"3᝞X1,ghGjGMVBC8M,ᫀ919⚓ᐳ59⚓

29ᑣ/GM»=/GMF=90°,•.•¶·V/8C஺¸|V0.AD=AB,ZA=ZB=90°,¶·V/BMGËV0.AG=BM,■:DELGF,0.NADE+NDGF=N4DE+N4ED=90°,0.NAED=NDGF,ZDGF=4MFG,ZAED=ZMFG,0.ADAEAGMF(AAS),0.AE=MF,ᑣBF=BM+MF=AG+AE'(2)"3BE=y[2CP,ᳮᵫ᝞Ì3᝞X2,ghEjE0஻ÍC,k8C8h°,ᫀ920⚓ᐳ59⚓

30EÍḄh,AEQÍḄ§ÎiÏE0=2ÍC,QC=CF,VNADC=NEDF=9Q஺,.ZADE=ZCDF,N4=NDCF=9Q஺,AD=CD,:.XADEQCDF(ASA),0.AE=CF=QC,"0AB=BC,0.BE=BQ,ᑣN8EQ=45஺0.EQ=y/2BE,ᑣ2PC=y[2BE,0.BE=y/2PC'(3)"3᝞XᡠÐj8A/஻GFk/஺8A/,BN஻EHCDᓟN,ᑣ¶·V8ÍGM<¶·VBE//N(Ƕ·V:.BM=GFf,BN=EH,,**AB=2,0.AM=-AB2=1`/஺Ḅh/,`8cḄh/ÑÒ஻*8=2,BC=4,0.AI=BJ=2,¶·V1஻¸|VAB=BJ=2,¹º஻ᑮ'=4M=1,஻k8N8hK,ᫀ921⚓ᐳ59⚓

31:ZAM`MBJL(SAS),:.NABM=NL,BM=BL=45,VZGOH=45°,BN//EH,BM//GF,0.NMBN=NMBK=45஺,0.ZABM+ZK=45°,0.ZL+ZK=45°,ᓽNLBK=45஺,:./\MBKa/XLBK(SAS),0.MK=KL,ÃK7=x,ᑣMAUKGK/+GX+],IK=2-x,ᙠR3/MK,ᵫIM?+IK2=MK2-.12+(2-x)Ó(x+1)2,22"x=—,ᓽKJ=—,33ᑣBK=NKJ2+BJ2=^~,,¶·VÔBCDËV¶·VÔÕ஻¸|Vh/8CḄh,0.KJ//CN,.BKBJ•Ö×"45':.BN=2BK=^^~.3,§¨ᓽḄoØ.3ᫀ922⚓ᐳ59⚓

32P⚪¶·VḄÙᔠ⚪"⚪ḄᐵdÛܸ|VḄᑨv<ឋßᐰáVḄᑨv<ឋßtuvᳮ(Ƕ·VḄᑨvâឋßV§vᳮᣤh.24.(l»=-1-2x+3#(2)hÍḄᙶ᪗(-2,3)ᡈ(-1,4)#(3)জh”Ḅᙶ᪗(-1,0)ᡈ(-9,0)#ঝ2-&WM஻W2+&.ூᑖ᪆௃(1)ᐜíhN(1,0),ஹB(-3,0)îᐭðᱥ§Ía--2x+cᑡ|}ó"|}ó஺

330.C(0,3),5஺Ḅ#᪆{y=kx+b.-3k+b=0&/k=\ᑣb=3,#b=3'.♦.8CḄ#᪆{y=x+3,tPCEḄ☢¤{DtOCEḄ☢¤{m`U.PE_2^~OE~3f■:EH//PG,:.[\OEHsl\OPGஹ.EHOHOE3"PG~OG~PO~59••E(3m,3஻z+3),¥!j(5m,-25m2-\O/M+3),.3m+3_3-25w2-10/n+3-r᦮ᳮ.:252+15+2=0,21#W|=--,m=--22Y§¨W_5m=-2,ᑣ(2,3),Y=¨"_5=1,ᑣ(1,4),©<Ḅᙶ᪗o(-2,3)ᡈ(1,4)?বᫀ24⚓ᐳ59⚓

34জᵫ+,N(-2,3),\'ZHCB=ZC,᝞32,«¬CMᨵ./01zcBN஻CHM,NHICB=NC,\'CN//AB,§zkC",o7®zk0.Hi-1,0?z7cNH2cB=NC,“2¯஻0,ijCH?kBNஹM,■:B(-3,0),N(-2,3),.,.ᳮ8NḄ#᪆{3x+9,CHiḄ#᪆{y=kix+bi,3h,=3■I=—¨ᑣ°ᙢ=஺,#:n,bஹ=33x_•Ḅ#᪆{:y=-----+3,n.2n3஻+9”(-------7-----T)஻+1஻+1,:BM=CM,/2n02/3஻+9ஹ2z2nµ3/?+9.x22d)+(3:¶)#"=-9ᡈ-1¯·¸,ᫀ25⚓ᐳ59⚓

350.H(-9,0),2©<”Ḅᙶ᪗o(-1,0)ᡈ(-9,0)?ঝ᝞33,Y0ᙠx]^!_`]_,ᨬd0e0G_Lr]"e0GlᑣzkMrG”ojk:FM=GH,FG=MH,90ZBQM=ZF=90°f0.ZBQG+ZGQM=ZFMQ+ZGQM=90°,•ZBQG=ZFMQ,•:BQ=QM,NBGQ=NF=90஺,0.^BGQ^/\QFM(AAS),0.FM=GQ,BG=FQ,0.GQ=FM=GH,QH=l,QG=GH=ºMH=FG=FQ-QG=BG-GH=2----=2-72;22᝞34,Y0ᙠx]!_`A/஻_Lx]_MH,஺e0GJ_x]e0»LM஻H¼ᑣzk0"Gojk,ᫀ26⚓ᐳ59⚓

36:FQ=GH,GQ=FH,ᳮtBGQp(44S),:.QG=FQ=GH,BG=MF,V0/7=1,0.QG=GH=—,:.MH=FM+FH=BG+GH=2+ᒹ+n=2+ᔊ?220.MHḄÀÂo2-ÃÄ2+Å.Æ⚪o§ÈÉᦪḄ©ᔠ⚪ὃÍÎᑭᵨÏJÐᦪÑÒÉᦪḄ#᪆ஹxwkÓÔḄឋ;LᑨJஹxwkᐰuḄឋ;LᑨJஹÖ×Ḅឋ;ஹᙊḄឋ;ஹ7®zkLjkḄᑨJuÆ⚪ᑭᵨÎÉᦪḄ#᪆⊤Ù<Ḅᙶ᪗Úᵫ<Ḅᙶ᪗⊤ÙBḄᶇÜ3kDᙶ᪗ᱯ<xÞᨵßàᑖÓâ'oᐵä.ᫀ27⚓ᐳ59⚓

372022-2023
ḕᓭᐙὃᦪ⚗ᓣ⚪-¨ஹ⌱¨⌱1.ஹæḄçèᦪoூ௃V2B.}C.-V2_}A.D.F22.^ᑡïðñIḄo¯¸A.2a-a=lB.a2+a2=2a4C.a2-\C.w>1D.m<—\6.÷u1-xgOḄ#ᙠᦪ]⊤ÙñIḄo¯¸A.*A~B.\I9-C.—J:-A.ôAD.-2-101-1012-2-101ߟ1------1------j>-10127.ù$^ᑡúÉᦪজ-x?ঝx?ঞ,?©y=x2.x<0_yüxḄýᜧÿxḄᦪᨵA.1B.2C.3D.48.ᦪ+6Ḅ᝞ᡠᑣy<0xḄᫀ28⚓ᐳ59⚓

38C.X>-1D.X<-19.*+ᦪ,-+c(aWO)Ḅ5ᑖ᝞ᡠ78(-1,0),;<=>?@x=2,AᑡCDE(1)4஻+H=0J(2)9Q+C>-3b'(3)la-36+2c>0J(4)8A(-3,y\)>88(-J,+)ஹ8C(7,")ᙠTᦪUᑣHீWxi`a2,bxiீX2ᑣX]V-1<5Va2.ᐸfghḄCDᨵ()A.2B.3C.4D.5Z10.᝞AOAC`ABADlmῪ?opoqZACO=ZADB=90°,stuᦪy=—ᙠx▲Ḅ8B,ySOAC{ABADḄ☢}~(^-5>()A.36B.12C.6D.311.BA8ᓅ45஺ZᔣbᐸᑮA8gᓅᔣḄBMḄ>100km,⁂B᝞ᡠḄBCZᔣ4Jykmᑮ¡Cᜐ£CᜐA8ᓅ75஺Zᔣᑣ¤{A8~¥ḄACḄ>()km.ᫀ29⚓ᐳ59⚓

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4121.᝞848Ḅᙶ᪗ᑖ§>(2,0),(0,1),È@48Úîï44,ᑣa+bḄ>22.1,2,3,4fðÌñ]¬òḄᦪᐸ`>5Ḅᭆ᳛pஹó⚪24.õö:|-1|-ù+(-2016)0.25.᝞Æ+úᵨ2üAýþ`1üBýþÿ
10ᔴᵨ1A2B
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◤*+ᑜ-ᵨAB./ា123+*ᨵ456$ঞ8A9200ᐗB9300ᐗ;46ᨬᨬḄ>ᐳ9"#@$26.DE/BCHI/ᢥ⌮┐MᔣOP஺RSTᔜUVWXYᩭḄ஻\.AABC,ᓽ᝞_জᡃaDb6WᣚdXef஻g.(1)᝞_জhE,8clWᣚe60஺mgnE/᜛C,ᑣ&r஺s;uv8cwuv9CᡠᜳḄ┦|XR(2)᝞_ঝZX/BCNB4C=30஺,ZACB=90°,hE8clWᣚefnE/᜛஺TஹBஹCஹCᙠ-v/U/8᜛஺X஺஻Ḅ(3)᝞_ঞE/8CAB=AC,NB4c=36°,BC=l,hE/BClWᣚefnEM஺Tᫀ32⚓ᐳ59⚓

42ஹBஹCஹ9ᙠ-v/UXU஻Ḅ.27.᝞_ᩚḄ⚔8ᙠḄᙠᚁḄI஺ᜐ¢᪥ᦪ¥¦᜜ᐶᕡª«Ḅ-¬ᙠ®¯ᩚḄ°RᙠᩚḄ±²Nᜐ®nI஺Ḅ´|X15஺/C=10¶·®nN8D4=45஺.º»ᚁCDḄᚁRXi=lsG,ᩚABḄ°R.28.᝞_1,☢u|ᙶ᪗ÂxOyIA(0,2),B(1,0),C(-4,0)IDXÇvACÈIÉÊBD,ËyÌÍIF,0MAABDḄ᜜ÐᙊÒIDḄᑗvËxÌÍIE.(1)ᑨEABCḄ᜜(2)ÖIDᙠv×ACজØÙsACDEs^ABFঝ᝞_2,0MwyÌḄÜËIXN,ÉÊDNஹBN,ÖUABNDXtan/DBCrx1r\j-'(3)IDᙠÇvACÈÒá8J=——Ḅ.29.᝞_ᙠ☢u|ᙶ᪗ÂxQyº»U஺08C/஺(0,4),B(6,0).8åæçèᦪé=ê(x>0)Ḅ_ìv×OCḄI/,Ë஺CÍIE,Ë8cÍI?3uXvEFḄî᪆ðXyRkix+b.(1)åæçèᦪuvñḄî᪆ðூóôõös☢ᨵ÷øIM(xi/)ஹN(X2,»)úaÉvḄI஺Ḅᙶ᪗X(ûûü,û5)[(2)EOEFḄ☢þ22b(3)2_ìuÐᑏ
BrJ->■>()Ḅ.Xᫀ33⚓ᐳ59⚓

4330.᝞ᱥy=ax2+bx+cy!"#C(0,4),$%!x=2&x!"#D,⚔#(M,)DM=OC+OD,(1)*ᱥḄ᪆,(2)-#P(x,y)./▲ᑁ2ᱥ3Ḅ456#APCDḄ☢8(S,*Sᐵ"xḄ:ᦪᐵ<ᑏ>?@xḄABDE*FxAGHI•SḄB.GHKᫀ34⚓ᐳ59⚓

442022-2023
ḕᓭᐙὃᦪ⚗ᓣ⚪-4ஹ⌱4⌱i.J5ḄNOᦪ.ூ௃A.y/2B.—C,-V2D.--22ூRSᫀ௃CூT௃NOᦪḄUV.᝞WX5ᦪY⌕[\
]ᡃ_%ᐸa45ᦪ(b45ᦪḄNOᦪᱯdᙢ0ḄNOᦪf.0.ghJ5ḄNOᦪ._J5.ᦑ⌱C.ᫀ35⚓ᐳ59⚓

452.kᑡmnRSḄ.opA.2a-a=lB.a2+a2=2a4C.a2»a3=a5D.(a-b)2=a2-b2ூRSᫀ௃CூT௃{⚪ᑖ᪆A.2a-a=a,ᦑ┯;B.a2+a2=2a2,ᦑ┯,C.a2»a3=a5,RS;D.(a-b)2=a2-2ab+b2,ᦑ┯;ᦑ⌱C.ூὃ#௃ᐰ,ᔠE]⚗,]ᦪḄ.2x+l3.⌕ᑖ3ᨵVḄxḄB.op2x-l1111A.x——,B.x=—,C.xH—,D.x^--222ூRSᫀ௃Aூᑖ᪆௃ᑖᨵVᑖ2x-l(.ூT௃᪷⚪2x-l=0,x=—.2ᦑᫀ⌱A.⚪ὃḄ#.ᑖᨵVḄᩩ¢⚪Ḅᐵ£.¤¥Ḅ¦§ᑖᨵVḄᩩ¢.4¨Jx-2y+9&ª4p43|¬(NOᦪᑣx+yḄB(oA.3B.9C.12D.27ூRSᫀ௃Dூᑖ᪆௃᪷B¯°±᪷Ḅ²³ឋ°ᐗ¶·*¸ᐭᓽ»¼W.ூT௃ylx-2y+9+\x-y-3\=0,x-2y+9=0x-y—3=0ᫀ36⚓ᐳ59⚓

46♦.x+y=27,ᦑ⌱D.᪗⚪±⌕ὃ°±᪷¯BḄ²³ឋ°ᐗ¶·*¸ᦪḄBᳮ⚪ÀᔠÁᵨÃÄ#.⚪ᐵ£.5.¨ᐵ"xḄ4ᐗ°±¶/_2Å+Æ=0ÇᨵÈᦪ᪷ᑣÈᦪ஻ḄABD.()A.m<\B.m>—\C.m>1D.m<—\ூRSᫀ௃Cூᑖ᪆௃᪷ᑨdḄVᑮ4=(-2)2-4m<0,ᯠÍᐵ"mḄ
ᓽ».ூT௃᪷⚪Î=(-2)2-4m<0,m>l.ᦑ⌱C.⚪ὃÏ᪷Ḅᑨd4ᐗ°±¶ax2+bx+c=0(a,0)Ḅ᪷&Î■A4acᨵ᝞kᐵ<FÎ>0I¶ᨵX5
NḄÈᦪ᪷,FÎ=()I¶ᨵX5NḄÈᦪ᪷,FI¶ÐÈᦪ᪷.6.
1-xWOḄᙠᦪ!3⊤ÓRSḄ.()A.I6->B.61C.-4:~>D.-2-101-1012-2-101ߟτ-----14.A-1012ூRSᫀ௃DூT௃{⚪ᑖ᪆
1-xWO,x>l,⊤Óᙠᦪ!3᝞ᡠÓߟτ-----1~~-1012ᦑ⌱Dூὃ#௃ᙠᦪ!3⊤Ó
Ḅ.7,ÕkᑡÖ5:ᦪজØ-x,ঝÚ=*,ঞÚ=,,®y=x2.xீ0IyÞxḄßᜧáâãXᫀ37⚓ᐳ59⚓

47Ḅ:ᦪᨵ()A.15B.25C.35D.45ூRSᫀ௃CூT௃FxvOI®y=-x,®y=~,®y^x2,yÞxḄßᜧáâã,XঝØyÞxḄßᜧáßᜧ.ᦑ⌱C.8.¨:ᦪçfcv+bḄ/᝞ᡠÓᑣ᜛<0I>?@xḄABD.()A.x>2B.x<2C.x>~\D.x<-1ூRSᫀ௃DூT௃{⚪ᑖ᪆Fy<0I/ᙠx!k:&x"(-1,0),,.y<0I>?@XḄABD.X<-1,ᦑ⌱Dὃ#:ᦪ/&<ᦪḄᐵ<.9.°±:ᦪy="2+6x+c(aWO)Ḅðᑖ/᝞ᡠÓ/ñ#(-1,0),$%!(òx=2,kᑡ¼ó:(1)4a+b=0'(2)9a+c>-3f>,(3)la-3b+2c>0'(4)¨#N(-3,yi)ஹஹB(-y,»)ஹ#C(7,Ï3)ᙠ2:ᦪ/3ᑣy\

48yA.25B.35C.45D.55ூRSᫀ௃BூT௃•••ᱥḄ$%!(òx=-2=2,ᓽg-4a,2a.•.4a+b=0,ᦑ(1)RS,*.*ᵫx=-3Iy>0,/.9a+3b+c>0f.•9a+c>-3c,ᦑ(2)RS,,ᱥ&x!Ḅ45#((1,0)...QHC=0,*.*b=-4at.•a+4஻+c=0,ᓽc=-5a.¸ᐭ»7a-3b+2c=7஺+12஻-10஻=9஺••:ᦪḄùúûᔣk4aV0,...7a-3b+2c<0,ᦑ(3)
RS,•FxV2IyÞxßᜧáßᜧFx>2IýÞxßᜧáâã¨#/(-3,ÿ)ஹ8(-1,/)ஹC(7,J3)ᙠᦪᑣyi=nᫀ@39⚓ᐳ59⚓

49BᱥDḄEF$ᔣ'ᜧ(I஺>0MBᱥDᔣEFI஺<0MBᱥDᔣOEF⚗8ᦪb'67⚗8ᦪaᐳR<=ḄᙢTIabRUMVᓽH>0Y,ᙠy\Iab]UMVᓽ^<0Y,ᙠy_`ᦪ⚗c<=BᱥDy.BᱥDybV0,cYBᱥDx.ᦪᵫe<=e=b2-4ac>0MBᱥDxᨵ2.e=஻-4“c=0MBᱥDxᨵ1.e=62-4ac<0MBᱥDxnᨵ.10.᝞AOAC'4BADuvwῪyz{z|ZACO=ZADB=90°,ᦪy=ᙠx▲ḄB,ᑣ^OAC4BADḄ☢SeoAc-SeBAD!VYA.36B.12C.6D.3ூ>ᫀ௃Dூᑖ᪆௃eO4C'஺Ḅyzᑖ!஻ஹb,wῪyz{z|ḄឋBḄᙶ᪗᪷{z|Ḅ☢ᦪ8ᦪkḄBḄᙶ᪗ᓽ¡.ூ¢£௃£0e04஺'eᔊḄyzᑖ!aஹb,ᑣ8Ḅᙶ᪗!Va+6,a-bv.♦.•8ᙠᦪy=9Ḅ▲xwa+bvx-bv=a2-h2=6.S^OAC-S^BAD=~a2--b2=—wa2-b2v=—><6=3.2222ᦑ⌱D.1⚪7⌕ὃ45ᦪ8ᦪ4ḄஹwῪ{z|Ḅឋ☢£⚪Ḅᐵªv«஺2-᮱Ḅ.ᜐᳮ⚪°᪗⚪M⌕wῪyz{z|Ḅyz±⊤³☢,´ᵨᐸ⊤³ᦪḄᙶ᪗vᐵª.>ᫀ@40⚓ᐳ59⚓

5011.¸B¹FTbAº»ᓅ½¾45஺$ᔣ*ᐸᑮAº»ᓅÀᔣḄÁÂBMḄ!100km,⁂ÇÈÉB¹FÊ᝞ᡠ³ḄBC$ᔣÌÍ4rkmᑮÏCᜐ»CᜐTbAº»ᓅ½¾75஺$ᔣᑣÑMÇÈAº»ÒḄÁÂACḄ!VYkm.■4º»A.873B.973C.66D.7^3ூ>ᫀ௃Aூ¢£௃£00/MAB=45஺BM=1O0,AB=-JBM2+MA2=7(10V2)2+(10V2)2=20km,ÕBÖBD_LAC,ACḄÙÚDbD,ᙠRtAADBÝZBAD=ZMAC-ZMAB=75°-45°=30°,BDJ3tanZBAD=---=---,AD3.AD=GBD,BD2+AD2=AB2,ᓽBD2+(6BD)2=202,.,.BD=10,.AD=105ᙠRt^BCDÝBD2+CD2=BC2,BC=4^3,..CD=25.".AC=AD-CD=10V3-2G=8bkm,>0ÑMÇÈAº»ÒḄÁÂACḄ!873km.ᦑ⌱A.>ᫀ@41⚓ᐳ59⚓

514º»ூὃ௃£yz{z|Ḅâᵨ■•$ᔣzᡂä.12.᝞ᙠå|ÝæஹRᑖv8c'OCḄEஹæᑖv/æ'RPḄÝ,IPᙠ8cÉ8ᔣCèé^RéMOᑡ¡ḄvVYA.DëìḄ⌲îïB.DëEFḄ⌲îó(C.Dë$■ḄyðD.DëEFḄPḄᙢTᨵᐵூ>ᫀ௃Cூ¢£௃£0ôõভ?᪷øù=ᳮ/7?=1402+°ú2Ḅð,᪷{z|ḄÝTD=ᳮEF=-AR,ᓽDëEFḄyð,2ᦑ⌱C.ὃ01ஹå|ឋ2ஹøù=ᳮ3ஹ{z|ḄÝTD13.᝞AB஺0ûᑗbA,B0஺0ûbC,DvýþACZCDA=27°,ᑣNBḄᜧRAᫀ42⚓ᐳ59⚓

52A.27°B.34°C.36°D.54°ூᫀ௃Cூᑖ᪆௃ᵫᑗḄឋNOAB=90஺ᵫᙊᕜ"#ᳮNBOA=54஺᪷&'"(")*┦",-NB=36஺.ூ/0௃01TAB23ᑗ45A,A0A1BA.AZOAB=90°.•.*ZCDA=27°,AZBOA=54O.ZB=90°-54°=36°.ᦑ⌱C.ὃ51ᑗḄឋ.314.᝞:ᙠ2x2<)=>?@>5A⚔5ḄCDḄ☢FG4HᑣsinNC48=2()A.JB.3C.x255ூᫀ௃Bூ/0௃KCLCDLAB,᪷&MN#ᳮO1AC=AB=712+22=751c,1c,1,,3SAABC=4--x2x1--x2x1-—x1x1=—,2222]313ᓽHCD-AB=-,ᡠ@Hxy/5CD=-,22220O1CD=HI45ᫀ43⚓ᐳ59⚓

53mCD3ᑣsin/CAB=-=-4AC5ᦑ⌱B.15.᝞:RᙠSABCD?AE_LBC45E,@5BATUV"G4NABC,WABAEXY┐UVOᑮABAE,\]DAL^/ADC=60஺AD=5,DC=4ᑣDAḄᜧAA.1B.V6C.721D.2Iூᫀ௃Cூ/0௃_⚪0᪆1K/'L4F_LD445c•••ef)N8CDAghef)AB=CD=4,ZABC=NADC=60°,BE=-AB=2,AE=A'F=—AB=28221TUV"G4N/8C,WC8/EXY┐UVOᑮC8/E,C.A'BᙠiBCjkA'B=AB=4,0.A'E=A'B-BE=4-2=2,0.AF=A'E=2,0.DF=DA-AF=5-2=3,ᫀ44⚓ᐳ59⚓

54ᙠRtAA'FD?ᵫMN#ᳮO40=>JA'F2+DF242y+32=ᔊ.ᦑ⌱C.16.᝞qrst╔vwᢗ?᝞:ᡠyḄ<)ᩈ{|}c(t╔ᙠᨩᑖḄᭆ᳛)A111B.HC.HD.—8912ூᫀ௃Cூ/0௃ூᑖ᪆௃ᐜᜧ<)ᨩᑖḄ☢FᑖA364,ᵨ☢Fᭆ᳛.ூ/0௃<)ḄfA1,ᑣ<)Ḅ☢FA6x6=36,1141ᨩᑖ☢FAHx4xl+—x2x2=4,ᡠ@Pᙠ(")ᑁḄᭆ᳛H=H.22369ᦑ⌱C.⚪ὃ᪶51ᭆ᳛.0⚪Ḅᐵᳮ0ᭆ᳛Ḅᭆᓽ1ᭆ᳛=3Ḅ☢F2¡☢F¢.ᑖ£3ᐵ:)☢F.ஹ45⚪17.^a+b=3,ab=2,ᑣ(a+1)(b+1)=.ூᫀ௃6ூ/0௃⚪0᪆1,.,a+b=3,ab=2,(a+1)(b+l)=ab+a+b+l,...(a+1)(b+l)=2+3+l=6,ᦑᫀA6.fx+2y=118.ª<«¬I.■ᑣx-yḄ°A[2x+y=3ூᫀ௃2x+2y=1জூ/0௃_⚪0᪆:2x+y-3ঝ,ঝ-জO1x-y=2,ᫀ45⚓ᐳ59⚓

55ᦑᫀA219.᝞:´5Pᙠg☢'"ᙶ᪗·?ᢥ:?¹ᜮᡠyḄ<ᔣ¼´1½¾¿5¼´ᑮ1,1,2½]Ḽ¼´ᑮ52,0,3½]Ḽ¼´ᑮ53,2,ᢥÁ᪵Ḅ¼´ÃÄ,2017½¼´Å´5PḄᙶ᪗A.ூ/0௃_⚪ᑖ᪆1᪷&´5Pᙠg☢'"ᙶ᪗·?ᢥ:?¹ᜮᡠy<ᔣ¼´1½¾¿5¼´ᑮ51,1,2½]Ḽ¼´ᑮ52,0,3½]Ḽ¼´ᑮ53,2,.•.4½¼´ᑮ54,0,5½]Ḽ¼´ᑮ55,1,…Çᙶ᪗A¼´½ᦪ2017½¼´Å´5PḄÇᙶ᪗A2017,Éᙶ᪗A1,0,2,0,Ê4½HË.•.2017½¼´Å´5PḄÉᙶ᪗A12017+4=504-1,ᦑÉᙶ᪗AeÌᦪ?ÌᓽA1,.•.2017½¼´Å´5PḄᙶ᪗12017,15Í1⚪½⌕ὃÏḄÐ5Ḅᙶ᪗ḄÃÄḄÑÒ᪷&:)ÓÔ£5ḄÇᙶ᪗2Éᙶ᪗ḄÕᓄÃÄ0⚪Ḅᐵ.×ØÙᙠ0ÁÚᙶ᪗·?Ḅ5ḄÃÄᡂÜYᡃÙ◤ßKà☢ḄÌ5Ḅᙶ᪗O£ÇÉᙶ᪗ÕᓄḄÃľá£ᡠ5Ḅᙶ᪗âãä4ÃÄឋḄ᪗⚪åæçèéêᜧᐵÐ⌕ëìÃÄí᪵᪵Ḅ.20.᝞:☢FA24Ḅ<)ABCD?ᨵHÌ<)EFGH,ᐸ?EஹFஹGᑖᙠABஹBCஹFDj.^BF=XS,ᑣ<)ḄᕜA2ᫀ46⚓ᐳ59⚓

56ூ/0௃_⚪ᑖ᪆11ef)ABCD<)☢FA24,.♦.BC=CD=2&,ZB=ZC=90°,:ef)EFGH<)ø.NEFG=90°,VZEFB+ZDFC=90°,/BEF+/EFB=90°,EFBF/.ZBEF=ZDFC,VZEBF=ZC=90°4.,.CBEF^ACFD,——=——DFDCVBF=—,CF=^/1,DF=^^,.•.EF=^i,<)EFGHḄᕜA2228221.᝞:543Ḅᙶ᪗ᑖA(2,0),(0,1),^si48gùú44ᑣa+bḄ°Aூᑖ᪆௃ᵫ:Oᑮ5BḄÉᙶ᪗᝞ÕᓄḄûAḄÉᙶ᪗üý3ÕᓄᓽOᑮbḄ°øþ5AḄÇᙶ᪗᝞ÕᓄḄûBḄÇᙶ᪗üý3ÕᓄᓽOᑮaḄ°3ÿᓽ
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a=0+(3-2)=1b=0+(2-1)=1•*.a+b=2.ᦑ2.⚪ὃᙶ᪗Ḅᓄ-⚪Ḅᐵ"#ᑮᔜ%Ḅ&'.22.(1,2,3,4)*+,-./0Ḅᦪᐸ345Ḅᭆ᳛#.ூ789ᫀ௃-3ூ௃;⚪᪆ᑡ⊤123411213149ᫀ?47⚓ᐳ59⚓

57221232433132344414243,ᐳᨵ12EF
GḄHI345Ḅᨵ4E,41:.P(345)=—=-.Kஹ9⚪x4-82ஹx—423.MN:Iz----------------)-S--------------X2-4x-2.x2-4x+4x—2ூ789ᫀ௃-—x+2ூ௃;⚪ᑖ᪆✌ᐜTUVW☢ḄᑖYZ[\ᑖᯠ^TᔜᑖYḄᑖ_3ᑖ`Z[aYᑖT◀cᦋᡂfcZ[gᑖMN.x+8-2(x+2)(x-2)';⚪᪆:hY=(x+2)(x-2)x-4__(x_4).(X-2)2(x+2/x-2)x-4x—2x+224.MN|-1|-l+(-2016)0.ூ789ᫀ௃0ூ௃;⚪ᑖ᪆᪷opḄqrs᪷ஹtuvḄឋx
yz.;⚪᪆I-1|-^/8+-2016°=1-2+1=0.25.᝞Iu|ᵨ2~A31~BI10ᔴ?u|ᵨ1~A32~BI11ᔴ-u#9ᫀ?48⚓ᐳ59⚓

58জ~A3BᔜIᔴঝᨵ31ᔴI◤,Mᑜ0|ᵨA3B~ាM,ᨵ¡E|ঞ£A~|¤200ᐗB~|¤300ᐗ¨E|ᨬᨬḄªᐳ|¤«ூ789ᫀ௃11~A43ᔴ1~B44ᔴ2ᐳKE3ᨬ4A9~B1~|®ᵨ2100ᐗ.ூ௃;⚪ᑖ᪆1᪷o“ᵨ2~/31~8ᱥ
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;2ᵫ⚪ᳮ,3a+46=31,ᐗs¶,ᐸ᦮ᦪᑮKE|;3᪷o2)ᡠᑭᵨ/~◤|¤200ᐗ/u8~◤|¤300ᐗ/u,ᑖµ,|®ᵨᓽ
.;⚪᪆141~xᔴ81~yᔴᵫ⚪2x+y=10x=3À'x+2y=lly—4ᡠÁ1~443ᔴ1~B44ᔴ.23a+4b=31ᔴ31—46a=------------3a“6ÃG+᦮ᦪa=9a=5ᐳKEb=\%=4b=13ᙠ2ḄᩩÆÇÈஹ200+300x7=2300ᐗஹ200x5+300x4=2200ᐗKஹ200x9+300=2100ᐗ|9~A1~Bᨬᐳᵨ|¤2100ᐗ.26.TË%4ᢥ⌮┐sᔣÐÑ஺ÓÔÕᔜÖ×4hᩭḄ஻ÚÛ/᜛஺ᓽ᝞জᡃÞTßEᣚá4[ã஻].9ᫀ?49⚓ᐳ59⚓

59(1)᝞জåÛN8Cèᣚé60஺ᵫ{.AABC,ᑣSMBCS“BU_____;yî8cyî9CᡠᜳḄ┦ò4Ó(2)᝞ঝÛNBC)NB4c=30°,ZACB=90°,åÛABCèᣚéãᑜÛ48,஺Õ%8ஹCஹCᙠ0/óîôõÖ஺4ö63"Ḅp(3)᝞ঞÛ/BC)AB=AC,ZBAC=36°,BC=l,å•ÛZ8CèᣚéãúÛ/᜛(7,Õ%8ஹCஹ9ᙠ0/óîôõÖ4[õÖ63஻Ḅp.ூ789ᫀ௃(1)360(2)60°,2(3)72°,üA2ூᑖ᪆௃(1)ᐜý᜛C,,SABCSMBC=(þ)=(6)2=3,NB=NBl
ýZBMB'=N8/3'=60°ᓽ.(2)ᵫ48᜛CNB/C=90஺ᯠᵫ4C,ᓽ஺Ḅ"ᦪ$ᵫ%30஺'Ḅ(')'Ḅឋ+ᓽ஻Ḅ-.(3)ᵫ9஺./᧕}.0=NC4C'=N4CB=72°,$ᵫ᪷123)'Ḅ45ᡂ78᧕.4B2=CBBB'=CB(BC+CB'),9:;ᫀ.AC11ARf—ூ>?௃?AB1D᝞F•••NA4C=N8NC',-=——=73,ACAB:,SAAFC0S^ABUAC0=B7^D=3,NB=NB'.AC2''VZA=ZB'NM,0.ZBMB'=ZBAB'=60°,ᦑ3P60.;ᫀQ50⚓ᐳ59⚓

60A(2)••U89஺,NB4C=900.0.O=ZCAC=ZBAC-ZBAC=90°-30°=60°.ᙠR2BB'WNABB'=90஺,N34᜛=60஺.48/=30஺.4B'0.4B'=”2FB,ᓽ஻=——=2.AB(3),,./$••ZBAC=36°990AB=ACfN48C=NU஺5=P(180஺-36஺)X72஺,0.0=ZCAC=ZACB=72°.ANCAB4=NBAC=36஺./B=NB,0.O4BCS/\B'BA.'.AB0BB'=CB0AB.0.AB2=CB>BB'=CB(SC+C59.:CB'=AC=AB=B'C,BC=\,0.AB2={(1+JB),?U8=Y52"0AB>0,.B'C1+V?••M=---=----BC227.᝞FZᩚ48Ḅ⚔]8ᙠ^_Ḅ`abcᙠ•deᚁgḄh஺ᜐj᪥ᦪlm᜜ᐶᕡ;ᫀQ51⚓ᐳ59⚓

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62DF=5.ᙠRt/\DFEWEF=tanE3.•./E=10+5+56=10+10.ᙠRtAB4E,B4=AE“anE=(10^3+10)ஹ1=10+3¢(}).33;AZᩚḄx"£|10+UbA(}).3¦⚪ὃ©ª?(')'Ḅ«ᵨ{''ᡂ®⌕ᐜ±²³´{'᪀⌼(')'¶?(')'.28.᝞F1,.☢('ᙶ᪗ºxOyWhA(0,2),B(1,0),C(-4,0)hD|¿ACgÀhÁÂBD,ÃyÄhF,G)MAABDḄ᜜ÈᙊhDḄᑗÃxÄhE.(1)ᑨÌAABCḄ᜜;(2)ÎhDᙠACgÏ,জÑÒAACDE^AABFPঝ᝞F2,G)MÔyÄḄÕÃh|N,ÁÂDNஹBN,ÎABND|Ïtan/DBCP311ூuÖ;ᫀ௃(1)AABC(')'.(2)জÑÒ×?᪆PঝXP(3)ᡈ.448ூ>?௃Ù⚪ᑖ᪆A(1)~)dhḄᙶ᪗ÚÛ5Ḅ"«ᵨ)'ÜᦪÚÑÒNACONBAO,ÝÞÑÒNBAC=90஺P(2)ß◤ÑÒ/CDE=NABD,ZDCE=ZBAF,ᓽÑÒ23PÎABND|Ï᪷1(')'AOB(')'ABN23AN",;ᫀQ53⚓ᐳ59⚓

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64ᵫ8=îA8=ï£,CA333ᙠ(')'48஺WᵫåæçᳮBD=y/AD2+AB2=VZCBD=ZFBO,NBOF=NBDE=90°,:.BFOS^BED,OFOB•\---=----4EDBDñADE=2x,ᑣ8ó=3x,ᵫåæçᳮA0F=1BF2-OB?=J(3xô-13BF=^^,DF=BD-DF=^!^,331133DE1õh஺ᙠ/CḄg,᝞F3AᙊöḄᑗ0.ZBDE=90°./EDC+NCDB=9G஺NABD+NCDB=90°;ᫀQ55⚓ᐳ59⚓

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6629.᝞Fᙠ.☢('ᙶ᪗ºx஺>W~஺08cý஺B0,4,B6,0.õþ78Üᦪÿ=
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682+6(2)«x=4(Sᨵ§8.£¤¥xḄ¦§©0Vx<2+2.ூh௃(1),0OC=4,OD=2,0.DM=6,:,M(2,6)ᔆa(x—2)2+6,lᐭ(0,4)Ia=-.•.¡ᱥ᪆ஹ=x(x-2)2+6.(2)/(x,—(x-2)2+6),ᓽ(x,—7+2x+4),S/ÀxḄᚖ(CDWRCD/fcr+4,lᐭ(2,0).k=-2,ᓽuߟ2x+4,:,ஹF(x,—2x+4)./.PF=——x2+2x+4-(ߟ2x+4)=È1/+4%,.*.5=^-2-(-$2+4x)=-*+4X.ÏÐ஺(x-2)2+6=0,Ixi=2+2Ò4X2=2-2J3(ÕÖ).•.0