2022-2023学年河南省安阳市中考数学专项提升仿真模拟卷（一模二模）含解析

《2022-2023学年河南省安阳市中考数学专项提升仿真模拟卷（一模二模）含解析》由会员上传分享，免费在线阅读，更多相关内容在教育资源-天天文库。

2022-2023
ᓭḕ□ὃᦪ⚗ᓣᔁஹ⌱⌱:1.᝞
M,Nᙠᦪ⊤Ḅᦪᑖm,n,ᑣᑡᡂḄ------•--------1-----Le----->-10123A.m+n<0B._m<_nC.|m|-|n|>0D.2+m<2+n2.ᦪx-2yḄ5,ᑣᦪ-3x+6y+lḄA.16B.-14C.14D.-163.ᑡ!ḄA.2x+x=2x2B.x2x3=x5C.x2
3=x5D.2x
3=2x34.ᡃ$᎝&Ḅ'()*+ᡃ$,-./0$1Ḅ2ᑭᔠ5᪷7””ᙢ:⌚<=>?@4400000000>ABᦪᵨDEFᦪG⊤@A.4.4X108B.4.40X10sC.4.4X103D.4.4X1O105.H᪥᝕ᵪLM23>NOḄPᙳᦪRSᦪT13UVWᩭYZᐸ/S\EḄNO]F┯_)14Uᑏᡂ15UabcW!ḄPᙳᦪ@aUSᦪ@bUᑣᑡde!ḄA.a<13,b=13B.a<13,b<13C.a>13,b<13D.a>13,b=136.fxy=x-ᨴ0,ᑣᑖh-'Ḅ@xy1A.—B.y-xC.1D.-1Ṻ7.
জᵫmBnᐰp\ḄqrstᡂḄs
u.)
জḄ/BqrsᦋxSyW᝞
ঝᑣ{|
Y}ᦋxḄB,|
~|
D.|
ஹ|
R~|
Tᦋx

1kk8.ᦪy=—Ḅ
2,8,ᑣᑡᔜᨵᙠ
=/ḄxxA.4,4B.-4,-4C.-2,8D.8,29.fJh+~^=ᨵᑣPa,1?ᙠ7abA.▲B.¡▲C.{▲D.£▲10.᝞
DE஻AC,ᑣᑡde!ḄA.NEDC=NEFCB.ZAFE=ZACDC.N3=N4D.N1=N211.{¦uḄ{ᩩ¨ᡠᙠª«Ḅ¬/ᙠA.{¦uḄᑁ¯B.{¦uḄ᜜¯C.{¦uḄᑁ¯ᡈ᜜¯D.{¦uḄᑁ¯ஹ᜜¯ᡈ⚔12.ᑡ²!ḄA.³´ឋ¶qḄᙠ·¸/ᨵ¹Y}B.³´ឋ¶qḄᙠ·¸/Y}C.³´ឋ¶qḄᙠ·¸ᨵ³´Y}D.ᨵ³´ᙠ·¸º³´Y}13.᝞
஺஺½43஺Ḅ᜜¾ᙊ஺஺ḄªLCO஺஺ḄÁZABD=5S°,ᑣN8CDÂÃ2

2DAA.116°B.32°C.58°D.64°14.᝞
ᙠÇuÈ@ÈÉ4cm,ZAD012Q0,:”\ÌᵫÈ஺ÍYᑖÎÈÏঢrᔣᔣ8ᒴÓÔÕ(ᑮ8@Ø)£ḄÓÛ@1⚚/s,FḄÓÛ@2a஻/s,tADEF@Âá{¦uᑣ1Ḅ@C.T¡ஹãä⚪æ15.ᑖçèæa3b-2a2b2+ab3=.m316.ᐵÃxḄᑖrìí—=1Ḅç@ᦪᑣîḄïñ—X-1\—X17.᝞
ᙠ஺஺8ªLÁᚖõ@E,÷¾8C,fᨴ8=20cm,NBCD=22°30',ᑣᙊ஺ḄøL@_______cm.D18.᝞
ᙠP☢ª¦ᙶ᪗ýAi(l,2),A2(2,0),A(3,-2),4(4,0)……᪷3A20"Ḅᙶ᪗.3

34-\/\012\3/456\7/89x\/\/\/\•K4"ஹ$%⚪:19.)*+,12஺16/0(—2)5-32-5+(-4)5,2.53x+7>58x-l:20.$;ᨵ=>?+3x-2,@ᙠᦪCD⊤F;ᨵ=>?Ḅ$G.----->x+l221.ᙠHᙢJKLMHNOPImin,ᡠVWᦪxXYᙢZ[T]^Ḅᐵ`ᡈb1=a*+Df☢OPᡠVWᦪXZ[hᓄjkl᯿⊤+OPVḄWᦪ8X:8498119•Z[8࠷:T151720জ᪷⊤rḄᦪstaஹbḄv.ঝ᝞yOPIminV63Wz{|ᙢY}ḄZ[~b᤬[22.H᪥bḄ“᪥ᱯ⁐ᦟ"ᐰ᪥Ḅᔜᑖ5ᵱ5᝕?ᡂ,¢£b60Ḅ᪵¥¦§ᔜ⚗⚗©Ḅª«$¬KḄ®¯jk.f⊤᦮ᳮ᪵¥ᦪᑮḄᐵ³´Ḅª«ᡂµḄ¶ᑖ·)⊤ஹ¸+H᪥60ª«ᡂµ⚣ᦪᑖº⊤ᡂµᑜÂ⚣ᦪÃᑖÄÅÅÅfa30%¿ÀÅÅÅÅÅÅ30bᔠ¾ÅÅ915%;ᨵᔠ¾T35%ᔠ)60608»¼+40----55ᑖb;ᨵᔠ¾55----70ᑖbᔠ¾70----85ᑖb¿À85----100ᑖb:Ç᪷ÈDÉÊ$%fᑡÌ⚪+4

4(1)⊤rḄa=,b=4(2)Ç᪷⚣ᦪᑖº⊤ÍÎÏÐḄ⚣ᦪᑖºÑÒ¸4(3)᝞y|᪥ᐳᨵ150᪷ÈDᦪÔ)|᪥®¯¿ÀÕÈDḄJᦪb.᪥60!"#$%&ᡂ᛻⚣ᦪᑖ+,-.30272421040557085104ᡂ/(ᑖ)23.H᪥ᦪᐶ×Ø?Ùª£ᜧÛ឵ᛞḄÞ[.᝞¸ᡂᕒؼᑭᵨªâãᙠBᜐªᛞ⚔Ḅæâa=63.5°,ᯠèéḼÅl|ᛞḄÒᔣì¦13.1mᑮíEᜐîWªᛞ⚔Ḅæâ8=71.6°.ªâãBDḄÞ[b1.4m,z{|ᛞACḄÞ[(ïὃᦪ+sin63.5°*0.90,cos63.5°஺0.45,tan63.5°^2.00,sin71.6°ñ0.95,cos71.6°ò0.30,tan71.6°00)24.óÎ᝞ftô+õ,ö÷ørùᙠÏúû÷ḄüÒ=³,ᩩlâþḄüÒᑣ
.(1)Ḅ.(ᑏᓽ)জঝᨵḄ!"ঞᨵ60஺Ḅ%.(2)᝞'(4ABC)⚔+Bᢥ-.┐0ᔣ2360஺4ᑮaDBE,ZDCB=30°,67AD,DC,জ89:4BCE;<;ঝ89:ABCD.5

525.᝞'ᡠ@ᙠB☢ᙶ᪗FGᱥIy=ax2+bx+cA(-3,0)ஹB(1,0)ஹC(0,3)<+ᐸ⚔+D,67AD,+PILADMN+(OᨵPAஹDQᔠ)S+PTyUḄᚖIᚖW+E,67AE.(1)8GᱥIḄXᦪZ᪆\]ᑏ^⚔+DḄᙶ᪗:(2)᝞_P+Ḅᙶ᪗(x,y),4PAEḄ☢`S,8SPxabḄXᦪᐵF\7ᑏ^defxḄghj]8^SḄh(3)ᙠ(2)ḄᩩlmSgᑮh.S+PTxUḄᚖIᚖWF,67EF,n4PEFoIEFᢚq+PḄrs++P,8^PḄᙶ᪗]ᑨuPᔲᙠ
GᱥIM.6

62022-2023
ᓭḕ□ὃᦪ⚗ᓣᔁ()ஹ⌱⌱21.᝞'M,Nw+ᙠᦪUM⊤@Ḅᦪᑖzm,n,ᑣᑡ\}ᡂḄ()A.m+n<0B._m<_nC.|m|-|n|>0D.2+m<2+nூᫀ௃DூZ௃⚪ᑖ᪆:᪷MஹNw+ᙠᦪUMḄᑨu^ᐸghjrᔜ⌱⚗⌲T^ᑨu:ᵫMஹNw+ᙠᦪUMḄ:N>2,V-l2,.M+N>0,ᦑA┯.VM2,ᦑC┯.VM

7ூᫀ௃BூZ௃A.2x+x=3x#2x2,┯B.x2x3=x5,C.x2
3=xb/x5,┯D.2x
3=8YH2x3,┯.ᦑ⌱B.4.ᡃ²᎝´Ḅ“”·¸(¹ᡃ²Pº»¼²½Ḅ¾ᑭᔠT᪷"”ᙢÂ⌚ÄÅÆÇ4400000000ÆÈᦪᵨÊËÌᦪ§⊤@ÍÎA.4.4X108B.4.40X108C.4.4X109D.4.4X1O10ூᫀ௃Cூᑖ᪆௃ÊËÌᦪ§Ḅ⊤@\aX10"Ḅ\ᐸ1W|a|<10,n᦮ᦪ.ÏnḄh.⌕ÑnÒᦪeᡂa.Óᦪ+ÔN£ÕÖnḄhPÓᦪ+ÔNḄᦪ×Ø.mÒᦪh>1.nᦪmÒᦪḄh<1.nÙᦪ.ூZ௃Z:4400000000=4.4X10ஹᦑ⌱C.5.ÚÛ᪥᝕}ᵪßà23ÆáâḄBᙳᦪäᦪå13æçᩭéêᐸØËḄáâëÌ┯(14æᑏᡂ15æìQí®¯ḄBᙳᦪaæᦪbæᑣᑡîïḄÍÎA.a<13,b=13B.a<13,b<13C.a>13,b<13D.a>13,b=13ூᫀ௃AூZ௃:ÒᩭḄBᙳᦪ13æ.♦.13x23=299ÍæÎ299-1ḄBᙳᦪa=----------12.97<13,2:ÒᩭḄᦪ13æ(14æᑏᡂ15æᨬbḄᦪò13æ/.b=13ᦑ⌱A.6.óô=x-»O,ᑣᑖ\,_—ḄhÍÎxy8

81A.B.y-xC.1D.-1ôூᫀ௃Dூᑖ᪆௃÷⚪sᐜ(ᑖ\ø-ø©ᑖᯠᵫÚùLJKO,ᓽ4^Òᑖ\Ḅh.xy11y-xூZ௃Z:Òᑖ\-,xyxy..•ô=x-y#0,.i1τ__-=-----------_I'Xyxyᦑ⌱:D.¡⚪ú⌕ὃ¢ᑖ\Ḅᓄü8hZ⚪Ḅᐵý(Òᑖ\þḄ©ᑖ.7.'জᵫÿ
ᐰḄᡂḄ.জḄᦋ᝞ঝᑣᦋḄ!"$জঝA.%B.,C.&D.%ஹ,.&/ᦋூ()ᫀ௃Aூᑖ᪆௃᪷34☢67ᑮḄ!%4&967ᑮḄ!&4:967ᑮḄ!,;<ᔠ>?ᑨAB7)ᫀ.ூCD௃DEজḄ%!FGHFIJ&!F<GHF&9E,!FIGHFJঝḄ%!FGHF&9J&!F<GHF&9J,!FIGHFJᡠLজḄᦋ,.&ᙳNᨵᦋPᨵ%ᦋᦑ⌱EA.

9S⚪ὃVWḄXYDZ[\Ḅᐵ^!ᵫ7ᑮ`Ḅ.4☢6ᑮḄ!4:☢6ᑮḄ!,4&☢6ᑮḄ!&.8.bᦪy=4Ḅgh"2,8$,ᑣkᑡᔜhNᨵᙠgo=":Ḅ!"$XXA."4,4$B."-4,-4$C."-2,8$D."8,2$ூ()ᫀ௃CூCD௃v⚪ᑖ᪆E•.,bᦪW=KḄyh"2,8$,.,.&=^=2x8=16,~⌱⚗PᨵxCE-2x8=-16.ᦑ⌱C.ὃhEbᦪy:hḄᙶ᪗ᱯ.9.+—/=ᨵᑣhP"a,5ᙠ"$7abA.y▲B.GHy▲C.Gy▲D.G~y▲ூ()ᫀ௃CூCD௃v⚪ᑖ᪆E•.•V+fᨵ••.avO/vO.

10A.NEDC=/EFCB.ZAFE=NACDC.Z3=Z4D.Z1=Z2ூ()ᫀ௃Cூᑖ᪆௃BL4©஺Eஹ4CḄ«©ᡠᡂḄ“©”ᐭ°>?ᑨA.ூCD௃A./EDC=NEFCNᨵ!<©±Gᩩ©ᡠ«7ᑮḄ³´Nᨵµᑨ¶<©?ᦑS⌱⚗Nᨵᔠ⚪JB.ZAFE=ZACD,!EF.±XCᡠ«7ᑮḄBLᑨ¶E·஻8C,¹Nᨵµᑨ¶DE//AC,ᦑS⌱⚗Nᨵᔠ⚪JC./3=N4º<!4C»OE±ECᡠ«7ᑮḄᑁ┯BLᑨ¶QE஻ᨴC,ᔠ⚪JD.N1=N2!E·.5c±ECᡠ«7ᑮḄ.ᑁ┯BLᑨ¶E·஻8C,¹Nᨵµᑨ¶DE//AC,ᦑS⌱⚗Nᨵᔠ⚪Jᦑ⌱EC.(Y¡“©”Ḅஹᑁ┯ஹ¿ᑁ!()⚪Ḅᐵ^Nᨵµ⍗ᑮÁᡈÃ⊡ᐵḄÅÆÇÈᐹᨵ?ᐵPᨵÁஹᑁ┯Áஹ¿ᑁÃ⊡ʵËÌ<±«©?.11.ḄᩩÍᡠᙠ©ḄÎh¶ᙠA.ḄᑁÏB.Ḅ᜜ÏC.ḄᑁÏᡈ᜜ÏD.ḄᑁÏஹ᜜Ïᡈ⚔hூ()ᫀ௃Dூᑖ᪆௃᪷3ÍḄᭆÓXENᨵÔḄḄÍᡠᙠ©ḄÎhNᨵ.┦ḄᩩÍ/ᙠᑁÏÎhᙠᐸᑁÏJḄᩩÍ<ᩩÅ!9GᩩᙠᑁÏ,Îh!⚔hJÖᨵ<ᩩᙠ᜜ÏᩩᙠᑁÏᡠᙠ©ḄÎhᙠ᜜Ï.ூCD௃A.ḄᩩÍḄÎh!⚔hNᨵᙠḄᑁÏ┯ÆJB.ḄᩩÍḄÎh!⚔hNᨵᙠḄ᜜Ï┯ÆJC.ḄᩩÍḄÎh!⚔h×NᨵᙠḄᑁÏØNᨵᙠḄ᜜Ï┯ÆJD.┦ḄᩩÍḄÎhᙠᐸᑁÏJḄᩩÍḄÎh!⚔hJÖḄᩩÍᡠᙠ©ḄÎhᙠᐸ᜜Ï(.ᦑ⌱D.11

11[⚪ὃVḄᑖ©ஹ©.ÍD⚪ᐵ^ᙠ¢ÙÚᐸឋ¥¶ឋ¥.12.kᑡÛ(Ḅ!()A.BµឋÞḄᙠv߶NᨵàB.BµឋÞḄᙠv߶C.BµឋÞḄᙠvßᨵBµD.NᨵBµᙠvßáBµூ()ᫀ௃Cூᑖ᪆௃ḄBµឋ%⌕6Ḅ\ãḄ\ãZ¶WBµឋäBµឋḄᜧ.ூCD௃A.BµឋÞḄᙠæßáàᦑ┯ÆJB.BµឋÞḄᙠæßBµáBµNᨵᦑ┯ÆJC.BµឋÞḄᙠæßᨵBµᦑ(JD.NᨵBµᙠæßçNᨵBµᦑ┯Æ.ᦑ⌱C.13.᝞èXOO!é48஺Ḅ᜜êᙊ!஺஺ḄìCD!OOḄíN/8ZA58஺ᑣNBCD&'()A.116°B.32°C.58°D.64°ூ()ᫀ௃BூCD௃DEᵫ!஺OḄìZJDB=90°,N4BD=58°,î4=90஺-430=32஺*.ZBCD=ZA=32°.ᦑ⌱B.14.᝞ᙠï4ð4cm,ZA/)(=12Qa,hE,·ñᵫ4C

12D4A.1c-iD.33ூ()ᫀ௃DüýN3þhM,^.BM=AEÿ
0.••,ABCDNADC=120஺ᡠ4B=AD,44=60°.BAf=AE,ᡠAD=ME.DEFᡠ4=NDFE=60஺DE=EF=FD.ZJWEF+/.DEA=120°.ᡠ+ZLDEA=1800-ZA=120°ᓽZJWEF=ZADE.ᙠ'AD=MEAE஺ENMEF=NADE,ᡠAEOeAfFE(SAS)
ᡠ\DE=EFMF=AE=BM.4DC=NABC=120°,ᡠNFB=180°-120°=60°,ᡠBPMᦑB=AE.AB=BC,ᡠBE=CF,᪷⚪"AE=t,CF=2t,ᡠ.48=AE+BE=4E+CF=t+2t=a=4,ᡠt=£ᦑ⌱D.$⚪ὃ&'Ḅឋ*ᐰḄᑨ-.ឋ/Ḅᑨ-0ឋ/123456.89$⚪Ḅᐵ;<==>?@ABCDE<=A/OEtAMEFFGHᑮBF=AE,ᯠKᑡMᐵNfḄOᐗQRS8ᓽ?.3ஹ45⚪215.ᑖ8UVa3b-2a2b2+ab3=.ூXY9ᫀ௃ab(a-b)2.13

13ூ\8௃8:a3b-2a2b2+ab3=ab(a2-2ab+b2)=ab(a-b)2.ᦑab(a-b)2.$⚪ὃ&^_U`a_U`Ḅbᔠdᵨ.m316.ᐵNxḄᑖUQR*-+/-=1Ḅ8XᦪᑣlḄmnp—X—11—XூXY9ᫀ௃l>2rs03ூᑖ᪆௃QRuvwx-1,ᓄ᦮ᦪQRSHx,zᑡ{ᨵUHM஻?Ḅmnp.ூ\8௃QRuvw1,Hl3=#1,8Hx=m-2,m3•ᑖUQR——+——=1Ḅ8Xᦪx-1\—x.\x=m-2>0rᓽl-2>0rm-2-"0,,•l>2rl#3,ᦑm>2rl¥3.17.᝞ᙠ஺஺C£)/AB0CD,ᚖE,3C,4B=2j^cm,ZBCD=22°30',ᑣᙊ஺Ḅ______cm.ூXY9ᫀ௃2ூ\8௃8V᝞஺814

14D"ZBCZ)=22°30'ZBOD=45°;ᙠ஺஺CON8_LC஺*.AE=BE,rO8EῪ,:AB=26cm/.BE=5/2cm0B=2cmᦑ2.$⚪ὃ&'ᚖ-ᳮVᑖḄᑖᩩrᑖᡠḄuᩩ.ὃ&'ᙊᕜ-ᳮῪḄឋ/.18.᝞ᙠ☢ᙶ᪗¦3Ai(l,2),A(2,0),A(3,-2),A(4,0)……᪷¯234°±²³?H3A2017Ḅᙶ᪗.43&&2!\•\12\3/456\7/89%ூXY9ᫀ௃(2017,2)ூ\8௃ᑖ᪆VᵫHM3Ḅºᙶ᪗»¼0ஹ1ஹ2ஹ3ஹ4....n,¿ᙶ᪗»¼0ஹ2ஹ0ஹ-2ஹ0ஹ2ஹ0ஹ-2ஹ…¯OÀÁÂGSH9ᫀ.\8VÃÄ?13Ḅºᙶ᪗»¼0ஹ1ஹ2ஹ3ஹ4....n,¿ᙶ᪗»¼0ஹ2ஹ0ஹ-2ஹ0ஹ2ஹ0ஹ-2.....15

15¯OÀÁ,2017-4=504...!,ᦑ3/2017ᙶ᪗(2017,2).ᦑ9ᫀ(2017,2).3ÆV$⚪ὃ&'°±ÇV3Ḅᙶ᪗ÈÉḄÃÄḄÊËᳮ8ÊË8$⚪Ḅᐵ;᪷HM°±.ஹ89⚪:19.ÌÍVO12஺῁ஹÏ(O2)5—32—5+(—Ð)ÑO2.5ூXY9ᫀ௃36ூᑖ᪆௃᪷ᨵᳮᦪÒᔠdÍÓÔdÍ`ᑣÌÍᓽ?ூ\8௃ÕU=-lx(-32-9+-)--2255=32+9---22=41-5=36$⚪×⌕ὃ&ᨵᳮᦪḄÒᔠdÍ8⚪Ḅᐵ;ÙÚÛÜᨵᳮᦪÒᔠdÍÓÔdÍ`ᑣ.3x+7>5(x-l)20.8{ᨵUÞV3x-2ᙠᦪßà⊤â{ᨵUÞḄ8ã.------>x+l2ூXY9ᫀ௃4cä6ூᑖ᪆௃ᐜSMu¯{ᨵUḄ8ãzSᐸ_ᐳ8.,3x+725(x-l)জூ\8௃8:^^>x+lঝ8{ᨵUজ?HK68{ᨵUঝ?Hx>4ᙠᦪßà⊤âMজঝḄ8ã᝞,0123456716

16{ᨵUÞḄ8ã4ீä6.$⚪×⌕ὃ&'Oᐗ{ᨵUÞ8ãḄS`ᐸìíS`îᵨïðS8.S{ᨵUÞ8ãḄïðVvᜧmᜧvòmòᜧòòᜧóôòòô{ᨵᑮõö8÷.21.ᙠøᙢúûüýøþÿImin,ᡠᦪxᙢTḄᐵᡈ1=@*+19,☢!ᡠᦪ"ᓄ$%&᯿⊤)!ḄᦪEXG8498119COT151720জ᪷,⊤-Ḅᦪ,./aஹbḄ3.ঝ᝞7!Imin63:;<=ᙢ>Ḅ?@A᤬CDூR.Sᫀ௃a=—,b=3,12᤬C7ூWX௃ᑖ᪆)E1Gᑭᵨ]/ᦪ^_X`ᑮbᦪX᪆cdE2Gex=63fᐭE1G-ḄX᪆c_y3ᓽj.WX:প᪷,⊤m-Ḅᦪ,n⍝:bᦪT=ax+bpE54,15G,E98,17G.ᑣ15=84஺+63X`:7dll=9Sa+bb=3E2GᵫE1G`ᑮy=—x+3.7,t11x=63>:y=—x+3=—'63+3=12■77S)!1ᑖwx63:=ᙢ>12᤬C.py)z⌕ὃ}~ᐗḄᵨ.X⚪>:ᑭᵨbᦪḄX▭⚪Ḅ.⌕ᐜ᪷,⚪ᑡbᦪᐵc:fᦪ_3.X⚪Ḅᐵ⌕ᑖ᪆⚪᪷,▭_X.22.᪥xḄ“᪥ᱯ⁐ᦟ":ᐰ᪥¢£¤Ḅᔜ¦ᑖ§¨©ª«x5¬ᵱ®¯5¬᝕®:ᡂx²³´µ60Ḅ᪵·:¸¹ᔜ⚗⚗»Ḅ¼½:xX¾¿ḄÀÁÂ$%.⊤᦮ᳮ᪵·ᦪ,:`ᑮḄᐵÅƳ³Ḅ¼½ᡂÇḄÈᑖÉÊ⊤ஹË)᪥60¬®¼½ᡂÇ⚣ᦪᑖÍ⊤ᡂÇᑜÏ⚣ᦪÐᑖÑRRRa30%17

17ÚÛRRRRRR30bᔠmRR915%×ᨵᔠmT35%ᔠÊ6060(ÔÕ)40----55ᑖ×ᨵᔠm:55----70ᑖᔠm:70----85ᑖÚÛ:85----100ᑖ)Ý᪷,Þßàá:XSᑡ⚪)(1)⊤-Ḅa=,b=d(2)Ý᪷,⚣ᦪᑖÍ⊤:âãḄ⚣ᦪᑖÍäËd(3)᝞7=᪥¢£¤ᐳᨵ150¬®:᪷,Þßᦪ,:æÊ=᪥¢£¤®ÀÁÂÚÛçÞßḄèᦪ.᪥60!"#$7&ᡂ᛻⚣ᦪᑖ+,-.ூR.Sᫀ௃(1)18,50%d(2)âËéX᪆d(3)120.ூWX௃ூWX௃(1)᪷,᪵·´µ¯ÐᑖÑ_⚣ᦪ:᪷,᪵·´µ¯⚣ᦪ_ÐᑖÑd(2)᪷,⚣ᦪâ⚣ᦪᑖÍäËd(3)_¢£¤®ÀÁÂÚÛçÞßḄèᦪḄÐᑖÑ:᪷,êèᦪ_Sᫀ.ூWX௃(1)a=60x30%=I8,b=30-60x=50%,ᦑSᫀ18,50%d(2)äË᝞Ëᡠì)18

18᪥60!"#$8&ᡂ9:ᦪᑖ+,-;(3)150x(30%+50%)=120,ᦑSᫀ120.·⚪ὃ}⚣ᦪᑖÍ⊤Þç⚣ᦪᑖÍäË:íîÉÊ⊤ஹ-ï«ð⌕Ḅàáஹñ᪷,⚣ᦪâäËX⚪Ḅᐵ.23.᪥ᦪᐶóôõ¼µᜧ÷឵ᛞḄú.᝞Ë:ᡂᕒôÕᑭᵨ¼üýᙠBᜐ
ᛞ⚔Ḅa=63.5஺ᯠḼᛞḄᔣ13.1mᑮEᜐ
ᛞ⚔Ḅ6=71.6஺.BDḄ1.4m,!ᛞACḄ"#$%('ὃᦪ*+sin63.5°=«0.90,cos63.5°«=0.45,tan63.5°,2.00,sin71.6°-0.95,cos71.6°^0.30,tan71.6°^3.00)ூ/0ᫀ௃ᛞACḄ380m.ூ45௃ᑖ᪆+89DF:AC;

19=AG=xm.ᵫ⚪XY+DF=13.1m,DB=FE=GC=1.4m..1/dAGAGxxᙠRtAAADGh3tanNADGl——,DG=----l--------o-,DGtanatan63.5°2AGAGxxᙠRtZAXAFGhtanNAFGl——FG=----l--------0-FGtan/?tan71.6°3xxVDF=DG-FG,s.-----=13.1,5
x=78.6,/.AG=78.6m,23VAC=AG+GC,.,.AC=78.6+1.4=80(m).0+ᛞACḄ380m.

20ூᑖ᪆௃(1)ᵫ¡HḄFHḄឋ¿ᑣP
Es(2)জᵫµ¶Ḅឋ¿PYÀABCgZXDBE,ÁÂP
BC=BE,ᵫNCBE=60஺P
4BCE~HsঝᵫজP
NBCE=60஺ÁÂPY4DCE"}~Hᑭᵨ¡ᳮᓽP5Å⚪.ூ45௃5+(1)জ᝞G•.•HABCD"¨H,Z.ZB=90°,.*.AB2+BC2=AC2,ᓽ+¨H"¡Hঝ᝞GVZB=90°,/.AB2+BC2=AC2,ᓽ+ᵫ}ḄH"¡Hঞᨵ60஺Ḅ®HhÇᨵ}ᡠ¢ÇᨵÉÊ¡HḄ,ᦑ0ᫀজঝ(2)জ:ÀABC°

21ᙠRtADCEhᨵDC?+CE2=DE2,VDE=AC,BC=CE,/.DC2+BC2=AC2,...HABCD"¡H.25.᝞GᡠDᙠ☢}ᙶ᪗ÑhÒᱥy=ax'+bx+cA(-3,0)ஹB(1,0)ஹC(0,3)~<ᐸ⚔<D,¹ºAD,

22e⚪,᪆,(1)•.•ᱥy=ax?+bx+cA(-3,0)ஹB(1,0),ᱥ,᪆.y=a(x+3)(x—1).:C(0,3)ᙠᱥh3=a(0+3)(0-l),,)a=—1.ᱥḄ?ᦪ,᪆.y=-(x+3)(x-l),^y=-x2-2x+3.y——x~—2,x+3-—(x+1)~+4.♦.ᱥ⚔ᙶ᪗D.(-1,4).(2)WAD.,᪆.V=஻?x+",VA(-3,0),D(-1,4),-3m+஻=0m=2,)k«-m+j=4஻=6WAD,᪆y=2x+6.

23315Q-=n•P'M,,)஺~=h-TT281069ᙠRtZXEMP|♦*EM=3.*.OM=EO-EM=-.5599P'------1059\•px=—FஹV=—2.—2,10?101005••Pᨵᙠaᱥ6.ὃ1.h?ᦪᔠ⚪z2.ᢚ⚪z3.ᦪḄᵨz3.6Ḅᙶ᪗HḄᐵz4.h?ᦪḄឋDz5.ᵫ▭⚪ᑡ?ᦪᐵz6.ᢚḄឋDz7.ᳮ.24

242022-2023
ᓭḕ□ὃᦪ⚗ᓣᔁ3n.⌱n⌱ᐳ10⚪ᑖ40ᑖ⚪4ᑖ1.ᑡ¡ᨵ¢£Ḅ_A.0¤ᨵ_¢ᦪ¥ᨵ_¦ᦪB.BᨬḄᦪ_0C.B§s¨©Ḅᦪªᨵ0«1D.¬§s¨©Ḅᦪªᨵ0«12.nᦪ®3,4,5,X,7Ḅ¯ᦪ_4,ᑣxḄB_A3B.4C.5D.63.ᑡ°±|┯³Ḅ_..A.ᦪ´0¥_ᓫ⚗B.ᓫ⚗aḄᦪHᦪ¶_1C.Lx2y2_hᓫ⚗D.-·Ḅᦪ_2334.᝞M¸¹W/8ஹºW/Cᡠ»ABUCD,E_W/C¼T½Ln£25

25ᨵᙠW4B,6:/BAE=a,^DCE=p,ᑡᔜজyᓝ£,ঝ஺n£,@$3-a,ট360஺-஺-/,4ECḄ\ᦪÍ_ABCDAজঝঞB.©©টC.জঞটD.জঝঞট5.®ÅÆÇÈÉÊḄËÌ,,ÎÏ2016ÐÑÒÓÔ14043500Ó,ᦪ´14043500ᵨÕÖ×ᦪ⊤9.A0.140435x108B.1.40435x107C.14.0435x106D.140.435x1056.᝞MWm஻n,ᙊÙᙠWn6Ḅ஺A_ᵫOB¬Ú)ᑮḄᑣM|ã▢åYXZḄ☢Ýᜧᐵ_A.SiVS2B.Si=S2C.Si>SzD.ᨵÍ£7.᝞MᙠßTZABCD|XAC¬ᑖNDAB,NABD=52஺,ZABC=116°,ZACB=a°,ᑣNBDCḄ\ᦪ.>nAB22A.aB.—aC.90-aD.90--a33’2x7438.ᨵ§x11Ḅ,àᙠᦪS6⊤9¢£Ḅ_—+—>-132626

26A.--♦-X;c._6-----D.-2-1012-2-1012-2-10129.᝞MçZ஺48cḄT04ஹOCᙠᙶ᪗S6x0C=204M.Nᑖì.04ஹOCḄ|,BM?AN@'AஹE,íßTZEMONḄ☢Ý.2,ᑣ8ḄîḄ,᪆.64C.y=--D.y=--xX10.(1+2+22+23...+22012ḄBïs=l+2+22+23+...+22012,{ij2s=2+22+23+24+…+22013,õö2S-S=220i3-1,÷᯿=6ùᳮ,Æúû1+5+52+53+...+52஺”ḄB.4-2018_]A.520177B.52018-1C.-—ߟ44.⚪ᐳ8⚪ᑖ32ᑖ⚪4ᑖ11.ᦪḄ0.12.ᵫᑮᜧ᣸ᑡḄᦪ!X”X2,X3,X4,X,ᐸ)*ᦪ!+,-1,ᑣ1,X|,-X2,X3,5-X4X5Ḅ)0ᦪ1•13.3456x+’=c+<c1=ᦪcWOḄ@1Cᡈ,CD56x+=42+34+1Xcc4x-62aa1=ᦪF0Ḅ@1ᡈ.14.34ᐵ,xḄᐗI56x2-m=2xᨵ*LᨵMNḄOᦪ᪷ᑣmḄQRT1.15.᝞VᙠXYABCD)AB=BD,]E,Fᑖ`ᙠBC,CDabFCE=DF,BFcDEd,]G,fBG=2,DG=4,ᑣCDg27

2716.jkᙠl□ᐝopqjrs1.75tuḄvg2.0m,jwkx5cm,yzkḄvg1m.17.]PḄᙶ᪗1(a,b),-2,-1,1,2*ᦪ)Q*ᦪaḄRoḄ*ᦪ)Q*ᦪbḄRᑣ]P(a,b)ᙠ☢ᙶ᪗)▲ᑁḄᭆ᳛1____.18.᝞VAABC)ZC=90°,AC=8cm,ABḄᚖᑖMNdAC,D,BD,f3cosZBDC=-,ᑣBCḄg.<.>?⚪(ᐳ4A⚪Bᑖ40ᑖCA⚪10ᑖ)19.(1)¡¢|-2|-(7C-2015)°+(y)2-2sin600+712¦(2)ᐜᓄ©ªR¢«1+(2+¬*)ᐸ)a=J].a'-aa20.᝞VᙠaABC)AC=8ᔖtBC=16ᔖt]P]A±²³ḼACaᔣ]C¶lcm/sḄ¹º»¼]Q]C±²³ḼCBaᔣ]B¶2cm/sḄ¹º»¼᝞¾PcQ¿±²ÀÁÂPQCAABCMÃÄ21.ᐺᐺ¿ÆÆÇÈ4ÉÊËÌÍ᝛ÏᡠᙠÑÒfÓÔÕÖḄ×ØÙᦪ!Úᑴᡂ᝞oᡧYᩩYÈV¢28

28ß᪷!¶bLᨵÇ᦮ḄÈVáâḄãä@åoᑡæ⚪¢1ᡧYÈV)a=,b=¦ç⊡ᐰᩩYÈV¦
2fêÑÒᐳᨵÕÖ3500ëßì×Øᙠ0í14îḄÕÖḄëᦪ.
3,ᐺᐺ4⍝ÍÑÒᑁ60î¶bḄðᑖὁëòóÍôõöᳫwøwøḄὁëᑖᡂᵬஹûᐺᐺüý4⍝ᵬûḄwøþ¾ÿᜧ᱅ᵬḄᑖ110,ᵬᑖᨵᑖḄ1.5ᵬᑖ22.ᙠABCDEBCFDE!/B=NAFE,AB=AF."#$AADF^ADEC.%.&'⚪)ᐳ1+⚪,ᑖ12ᑖ-+⚪12ᑖ.23./01234ᦻᓄ⍡8“:;12”Ḅᡂ>ᑖ?@ḄABCᙢ.“/012”EFGHBIJ᰿.LᢚN)AB஻CD஻xP.Q᧜STUVW12EFḄᓫYy)ᐗ.[\ᦪ^x)_.`aḄbᦪᐵd.)1"e10SXS20fyxḄbᦪᐵdgh
2ijTAB\kUVWḄ12EFlmn2625ᐗokABpᐳ[\qU12EF_)lmn=ᦪ^xᓫY.29

29t.&'⚪(ᐳ1+⚪,ᑖ12ᑖ-+⚪12ᑖ)24.᝞LᙠAABCAB=AC,xAByzḄ00{BCD,|D}DEJ_ACE.(1)"#$DE஺0ḄᑗN.(2)!NB=30஺AB=8,"DEḄ..&'⚪(ᐳI+⚪)25.ij☢yᙶ᪗d0A(-1,0)^B(4,0),ᱥNy=ax?+bx-2(a0)|A,B,⚔C,P(m,n)(n<0)ᱥN.(1)"ᱥNḄ&᪆g⚔CḄᙶ᪗h(2)eNAPBf"mḄh35(3)!m>—,eNAPByfkᱥNᔣᡈᔣt)_ᓫCஹ22PḄᑖCஹP',ᔲᙠt,¡✌£¤¥¦AஹBஹP\Cᡠ᪀ᡂḄ©Ḅᕜᨬ¬!ᙠ"tḄ®ᱥNḄ¯ᔣh!ᨵᙠ°®ᳮᵫ.30

302022-2023
ᓭḕ□ὃᦪ⚗ᓣᔁ3.⌱⌱ᐳ10A⚪Bᑖ40ᑖCA⚪4ᑖ1.³ᑡµᨵ¶·Ḅ).A.0¸ᨵ¶ᦪ¹ᨵºᦪB.ᨬ+Ḅᦪ0C.»¼½Ḅᦪ¾ᨵ஺1D.¯»¼½Ḅᦪ¾ᨵ01ூ¶·'ᫀ௃CூÂ&௃&$0ᓽᨵ¶ᦪ¹ᨵºᦪᦑA¶·hᨬ+Ḅᦪ0,ᦑB¶·h»ŽḄᦪƺᦪᦑC┯Èh31

31¯»ŽḄᦪ01,ᦑD¶·.ᦑ⌱$C.2.ᦪÐ$3,4,5,X,7ḄÔᦪ4,ᑣxḄ).A.3B.4C.5D.6ூ¶·'ᫀ௃BூÂ&௃ᑖ᪆$᪷ÐÔᦪḄ0Ýᑨßᓽà.Â&$᪷ÐÔᦪḄ0Ýàj⌕¡qᦪÐḄÔᦪ4,ᑣx=4.ᦑ⌱B.â$ÔᦪãᦪÐäå¤ᦪḄᦪ.3.³ᑡæç┯ÈḄ.)..A.ᦪè0¹ᓫ⚗gB.ᓫ⚗gaḄdᦪ¤ᦪë1C.—x2y2î¤ᓫ⚗gD.-FḄdᦪ--233ூ¶·'ᫀ௃Cூᑖ᪆௃᪷Ðᓫ⚗gdᦪஹ¤ᦪḄ0Ýᩭ"&.ᓫ⚗gᦪèñᦪòóᓫ⚗gḄdᦪᡠᨵèôḄᢣᦪòóq_ᓫ⚗gḄ¤ᦪ.ᓫö_ᦪè¹ᓫ⚗g.ூÂ&௃A.ᦪè0¹ᓫ⚗g¶·Ḅᨵ÷ᔠ⚪ù$B.ᓫ⚗gaḄdᦪ¤ᦪë1¶·Ḅᨵ÷ᔠ⚪ùhC.hx2y2%¤ᓫ⚗gúᩭḄµ┯È÷ᔠ⚪ùhD.-ûḄdᦪ¶·Ḅᨵ÷ᔠ⚪ù.33ᦑ⌱C.ü⚪ὃþᓫ⚗g&⚪ᐵÿᙠ
ᐸ.4.᝞48ஹCO4CᡠABHCD,EZC!E"ᨵᙠ$%:NBAE=a,^DCE=/3.&ᑡᔜ)*জa+᜛ঝa—᜛ঞ᜛a,ট360஺-஺-£,4ECḄ;ᦪ=>!%32

32ABClDA.জঝঞB.জ©টC.জঞটD.জঝঞটூCDEᫀ௃Aூᑖ᪆௃᪷LEᨵ3M=>NOᑖPQRSTUVLWSḄឋYZ[\]^᜜]ឋYRS`abcᓽ=.ூec௃c*(1)᝞ᵫ4B஻CD,EFN40C=NDCEiG,"*ZAOC=ZBAEt+ZAEiC,*.NAEiC=B-a.(2)᝞jkl43WSᑣᵫ45஻CD,EFNl=NB4E2=a,/2=/஺஺[=ᡂ,AAEiC=a+p.tᳮ=vZ.AEC=a-p.33

33AB'acyxg'Dw$ᡠx/NECḄ;ᦪ=>z6a,a+p,a-fi.ᓽজa+6ঝa/,ঞ᜛-a,{ᡂ|.ᦑ⌱A.⚪⌕ὃWSḄឋYḄᵨc⚪*WStN]WSᑁ┯].5.L`Ḅ,201614043500ᦪ1404,3500ᵨ¡ᦪ¢⊤¤z!%A.0.140435x108B.1.40435xl07C.14.0435x106D.140.435x105ூCDEᫀ௃Bூec௃ᑖ᪆*ᵨ¡ᦪ¢⊤¤¨ᜧḄᦪª^)zaXIO",ᐸ®1Wಘ<10,஻z᦮ᦪL³ᑨµᓽ=.ec*14043500=1.40435X107.ᦑ⌱B.¶*⚪⌕ὃᵨ¡ᦪ¢⊤¤¨ᜧḄᦪª^)zaXIO",ᐸ®lW|a|<10,D஺¸஻Ḅ¹c⚪Ḅᐵ».6.᝞m஻n,ᙊ¿ᙠn$Ḅ஺AᵫOBWÀvᑮḄᑣ®Â▢Ä\]^Ḅ☢ÆᜧÇᐵÈ!%C.S]>SD."ᨵ>D2ூCDEᫀ௃B34

34ூec௃ᑖ᪆*᪷LWÀḄឋYvᑮᙊḄÌÍ,ᯠÏ᪷L▢Ä\]^ḄÐÑvᑮ☢Æ.ec*•.•ᙊ¿ᙠn$Ḅ஺Aᵫ0BWÀvᑮḄ•••ᙊḄÌÍ•••®Â▢Ä\]^ÐÑᙊḄ☢Æᦑ⌱B.¶*ὃWÀḄឋYc⚪Ḅᐵ»vᑮᙊḄÌÍ,Ó;¨Ç.7.᝞ᙠÔ^ABCD®Õ]ACWᑖNDAB,ZABD=52°,ZABC=116°,ZACB=a°,ᑣ/BDCḄ;ᦪz!%22A.aB.—ctC.90-aD.90■—a33ூCDEᫀ௃Cூec௃ᑖ᪆*jClCE_LAB
E,CF_LBD
F,CG_LAD
G,᪷LBCWᑖ/DBE,ACWᑖZBAD,ᓽ=vᑮCDWᑖNBDG,Ý᪷L\]^᜜]ឋYᓽ=vÞNBDCḄ;ᦪ.ec*᝞jClCEJ_AB
E,CF_LBD
F,CGJ_AD
G,VZABD=52°,ZABC=116°,AZDBC=ZCBE=64°,...BCWᑖNDBE,.CE=CF,á*ACWᑖ/BAD,.-.CE=CG,.CF=CG,XVCG1AD,CF1BD,.CDWᑖNBDG,YNCBEAABCḄ᜜],NDBEAABDḄ᜜],ZACB=ZCBE-ZCAB=-ZADB,ãZADB=2ZACB=2a,ZBDG=180°-2a,2.\ZBDC=-ZBDG=90°-a,ᦑ⌱C.235

35G/ஹA¶*⚪⌕ὃḄå\]^Ḅᑁ]æᳮZ[\]^᜜]ḄឋYÓ;®$.cçèÂé⚪Ḅᐵ»å᪷L\]^ᑁ]æᳮZ[᜜]êëḄᐵÈìᑮᡠbḄ]¸]êëḄᐵÈ.2x-l<38."ᨵ)íî=x11Ḅcïᙠᦪð$⊤¤CDḄ!%1326A.----6------1_B•Jc.6----------iD.-2-1012-2-1012-2-1012-2-1012ூCDEᫀ௃Aூec௃ᑖ᪆*ᑖñbÞᔜ"ᨵ)ḄcïÝbÞᐸòᐳcïôᙠᦪð$⊤¤Þᩭ⌱ÞöᔠᩩùḄ⌱⚗ᓽ=.’2x-l43জec*\x11ò—+—>—(2)ெ326ᵫজvX42,ᵫঝv,x>—ý,ᦑ³"ᨵ)íḄcïz*-1ீÿ2.ᙠᦪ⊤:---J-2-1012ᦑ⌱A.⚪ὃḄᙠᦪ⊤ᐗᨵḄ!"#ᨵḄᙠᦪ⊤$ᩭ&>,2ᔣ*+,<,4ᔣ/+0ᦪḄ!ᦪᑖᡂ345᝞7ᦪḄ8536

36☢⊤Ḅ;Ḅᩩᦪ=ᨵḄ#ᦪ᪵?@A5BᨵḄ.ᨵC#B⌕C#.ᙠ⊤E“2"“4”⌕ᵨGHᙊ⊤,"<“⌕ᵨLHᙊ⊤.9.᝞MNOCM3CḄPQ04ஹOCᙠᙶ᪗U஺஺=2஺4,MஹNᑖX஺/ஹ0cḄZ,BM?AN@'AஹE,3[QOEA/CWḄ☢\2,ᑣ8Ḅ^_;Ḅ᪆&064C.y=----D.y=-----XXூbcdᫀ௃Aூg௃hMiMG஻ON,kANlG,hEiEF_LABlF,᝞Mᡠ:nEF=h,0M=a,?@ᵫ⚪pqrAM=0M=a,0N=NC=2a,AB=0C=4a,BC=A0=2asAONZMG஻ON,AM=OM,MG=^ON=a,•uMG஻ABA£GA/EJ••v=wx4BE=4EM,VEF1AB,EF஻AM,37

37.EFBE_4^ASf=BSI=5'44AFE=-AM,ᓽh=qa,VSABM=4axa-^-2=2a2,ASAON=2ax2a^-2=2a2,ASAABM=SAAON••SAAEB=S[QOEMON=23S^AEB=ABxEF+2=4axh+2=2ah=Lᨵh=ga,a=g&bᦪ0OA=J?,0C=2BḄᙶ᪗&210?@BḄ^_;Ḅ᪆By=--x,ᦑ⌱A.10.1+2+22+23…+22M2Ḅqs=l+2+22+23+…+2282,!j2s=2+22+23+2+…+2283,2S-S=22013-1¢᯿¤¥ᳮ§¨$1+5+52+53+...+5237Ḅ&0r2018_

38ூg௃¶PᦪÛ¼ÜᦪEØÙḄÚ0.12.ᵫÝᑮᜧ᣸ᑡḄᦪÅX”X2,X3,X4,X5,ᐸZ"#ᦪÅäÝl-1,ᑣ1,XI,-X2,X3,-X4X5ḄZæᦪ.ூbcdᫀ௃"1ூg௃ç⚪ᑖ᪆è1,X”-X2,X3,-X4,X5AᦪÅéÝᑮᜧêë᣸ᑡᨬZíḄP#ᦪX5=1,ᑣZæᦪîï.2ὃZæᦪ.13.ðr²ñx+1=c+L&còᦪ/00Ḅcᡈ2?@²ñx+ô=.2+34+1Xcc4x-62a&aòᦪUö00Ḅᡈ.ூbcdᫀ௃জ.øc1322a2ூg௃ᑖ᪆®¯²ñx+-=c+-&còᦪcNO0Ḅᱯ´µ²ñḄ/QúXCrᦪ=ᐸ᎔ᦪḄÚ²ñ*QḄO=/QḄOüᐰ¼Èþ!ᐸZḄúrᦪᣚᡂ
ᦪ᪵Ḅ.⚪◤⌕X+—="+3"+14%-62a#$%&'()*ᦪḄ+ᦪ,-./%&0(Ḅ1ᦪ234+5+ߟ.37Ḅ222a8(.92,᦮ᳮ>ᓽᑏᡂx+L=c+EḄ#2FGHIḄ.XCJKI#3LMN+OᓝḄ8(.92,,2x+[y=a+3+39

398(.UVW3,,2x-3+XY=a+g,.[.2x-3=sg2x-3=l.a^.x=%ᡈX=—.ᦑaᫀ3cWdefK⚪ὃh
ijḄ▅lᳮmnY*oḄpqmn.ᐵsᙠuᡠ#3w*Ḅ#2.xey'(z)*ᦪḄ⚗Ḅ+ᦪ|ᨵ-..⚪~u⚪ᨵx.14.*ᐵuxḄᐗxJm=2xᨵ8|ᨵ-%Ḅᦪ᪷ᑣmḄy.ூaᫀ௃m>-1ூJ௃ᑖ᪆K᪷ᐗḄ᪷Ḅᑨ2A=b2-4ac,ᐵumḄ|ᨵ%2HmḄᓽ.JK¡X?-m=2x᦮ᳮ,Kx2-2x-m=0^.a=l,b=-2,c=-m,:ᨵ8|ᨵ-%Ḅᦪ᪷¥=b2-4ac=4+4m>0,ᦑaᫀ3m>-l.efKᐗ᪷Ḅ¦§Yᑨ2¥Ḅᐵ+K(1)AAOQᨵ8|ᨵ-%Ḅᦪ᪷^(2)¥=()=ᨵ8-%Ḅᦪ᪷^(3)AVOQ|ᨵᦪ᪷.15.᝞¯ᙠ°#ABCD´AB=BD,eE,FᑖᙠBC,CD(·¸CE=DF,BFYDE¹ueG,»BG=2,DG=4,ᑣCD¼3ூaᫀ௃26ூJ௃½¼DE¾H,$GH=BG,¿BHஹCH,'*À(#ABCDNOP3*.BC=DC=AB=BD,40

40.♦.¥8OCy%(ÁÂ#:.NDBC=NBCF=60஺,,:CE=DF,*.BC-CE=CD-DF,BPBE=CF,ᙠ¥OBEÃ¥BCF´,8DB=BC,4DBC=4BCF,BE=CF,(SAS),NBDG=NFBC,/.ZBDG+ZDBF=ZFBC+ZDBF=60°,ANBGE=NBDG+NDBF=60஺,.♦.¥BG3%(ÁÂ#*.BG=BH=2,NGBH=60°,:.NDBF+2FBC=ZHBC+NFBC,NDBF=/HBC,ᙠ¥BGDÃ¥8HC´3,:BD=BC,NDBF=NHBC,BG=BH,*.RBGD9XBHC(SAS),*.DG=CH=4,'*ZFBC=ZBDG=ZBCH,*.BF//CH,/\BGE^/\CEH,BGEGBE2\2214..-------——=-»•EG+EH=2,..EG=—,..BF=DE=4T—=—,.NFBC=NFBC,CHEHCE423332““EGBE3CFf28/BGE=NBCD=60°,*./\BGE^/\BCF,*.——=——Z.—=:6=—,CFBFCF149JCF=±^~,:.BE=CF=^-,:.BC=3BE=3*^-=2S,*.CD=BC=2J1.333ᦑaᫀ32s.efK⚪ὃh
°#ḄឋÅஹÁÂ#ᐰ%ḄឋÅÃᑨஹÁÂ#-ÈḄឋÅÃᑨஹ%(ÁÂ#ḄឋÅÃᑨÉÊËÌ᪀ᐰ%ÁÂ#y⚪Ḅᐵs᪷ᨵÂy60°Ḅ%ῪÁÂ#y%(ÁÂ#,¥8G”3%(ÁÂ#yÏẚÑ.16.ÒÓÃÒÔᙠÕ□ᐝØÙÚÒÓÛÜ1.75ÝÞḄß¼32.0m,ÒÓàÒÔá5cm,7âÒÔḄß¼ym.ூaᫀ௃—35ூJ௃ᑖ᪆Kᙠ.UâᱥÜÃß¼ᡂàᓽᙠ.UâḄ8ᱥäßåᱥä⚔çḄÕ□ᐝÌÁὅ᪀ᡂḄ8ÂÁÂ#-È.FGHÒÔḄÛÜFGHÒÔḄß¼.JK•.•ÒÓÛÜ1.75ÝÒÓàÒÔá5cm,...ÒÔḄÛÜ3é=1.8m,41

41K¥ADEs¥ABC•AE_DEDn2.0_1.75••/CBC,ᓽFL8êÒÔḄß¼yX,ᑣx=4^H=gm..••ÒÔḄß¼yî.efK⚪ὃh-ÈÁÂ#ឋÅḄïᵨ.⚪UᐵsyñH-ÈḄÁÂ#ᯠ>᪷óï(ᡂàôᑡH,〉÷Ḅᦪiøᩭúû⚪17.ePḄᙶ᪗
a,b,-2,-1,1,2ᦪᦪaḄḄᦪᦪbḄᑣP
a,bᙠ☢"#ᙶ᪗&'▲ᑁḄᭆ᳛ூ-./ᫀ௃6ூ23௃ᵫ⚪678᪛:;᝞:a:-2-112zA/7\/1\b:-112-212-2-12-2-11ᵫ;>?ᐳᨵ12BC>DEFᐸP
a,bាIᙠ'▲ᨵ
1,2J
2,1ᐳ2B,._2__1GHIាKᙠM▲=333120ᦑ/ᫀ.—618.᝞;AABCZC=90°,AC=8cm,ABḄᚖ"ᑖ\MN_AC`D,bcBD,d3cosZBDC=-,gljBCḄj.42

42ூ-./ᫀ௃43ூ23௃k⚪3᪆mcos/BOC=—>5,•oQC=3x,BD=5x,pீMN\rZ6Ḅᚖ"ᑖ\*AD=DB=5x,p,.ZC=8cm,\3x+5x=8,3sx=l,ᙠRtZSBOCC£>=3cm,DB=5cm,BC=ylDB2-CD2=552-32=4.ᦑ/ᫀ:4cm..3/⚪
ᐳ4t⚪uᑖ40ᑖvt⚪10ᑖ19.1
wxm|-2|-it-2015
°+y
2-2sin60°+V12y2
ᐜᓄ|}m31+
2+~1
,ᐸa=J^.a-aaூ-./ᫀ௃
1
5+Gy2
V2-1ூ23௃k⚪ᑖ᪆m
1ᐜᑖᓄ|0ᢣᦪᗩஹᢣᦪḄwx#ᦪஹ᪷Ḅᓄ|ᯠᢥxwxᓽ>y
2
ᑁᐜᑖxᯠᑖ◀xᐭᦪwxᓽ>.k⚪3᪆m
1
=2-l+4-2x+2=2-1+4-+26=5+71y243

432ci+஺~+1(a+l)(a-l)a\(2)-1)aQ(”_l)(Q+1)a+1l1l¦a§¨^-=^2-1•20.᝞;ᙠAABCAC=8ᔖ«BC=16ᔖ«PA8¬ḼAC¯ᔣC±lcm/sḄ²³´QC8¬ḼCB¯ᔣB±2cm/sḄ²³´᝞FPµQ¶§8¬·¸apacJAABC¹º»ூᑖ᪆௃¼⚪>ox¸z^QCJ^ABC¹ºᐜ}8CP=8/CQ=2x,ᑭᵨ¹º#:ឋÀÁ¯ᡂÄÅᑡ}3ᓽ>sᑮ/ᫀÈÁ¯ÉᨵÊ./ᫀ⌕ᑖÌBÍÎজ¦CPµCAÁ¯§ঝ¦CPµBCÁ¯§.ூ23௃3mox¸Ì#:¹ºᑣ஺ÑXOZÑ8-x,CQ=2x,জ¦஺?µC4Á¯§ஹCPCQ8-x2x._artJZR---=----,ᓽ------=—,3sÓ4¸;ACBC816CPCdQ_2r2Rঝ¦஺ѵ8cÁ¯§——=Õ3ᓽ——=—,3sÓ-¸;BCAC1685Qᦑ4ᡈ-¸Ì#:¹º.¼⚪×⌕ὃÙÚᑭᵨ¹º#:ḄឋÀÁ¯ᡂÄÅ}3Û¬ÜÁ¯ÉᨵÊ.◤⌕ᑖÌBÍÎ3Þ¼⚪Ḅᐵà.21.ᐺᐺ¶ââãäw?åæçÚ᝛éᡠᙠëìdíîïðḄñòóᦪôõᑴᡂ᝞ᡧ:Jᩩ:äw;m44

44ù᪷ô±ÕÉᨵã᦮Ḅäw;ûüḄýþ3/ᑡÿ⚪
(1)ᡧa=,b=⊡ᐰᩩ(2)ᐳᨵ3500ᙠ014ḄḄᦪ.(3),ᐺᐺ$⍝&ᑁ60()Ḅ*ᑖὁ-.&/01ᳫ3434Ḅὁ5ᑖᡂᵬஹ9:;ᐺᐺ<=$⍝ᵬ9:;Ḅ34>?@ᜧ᱅CDEᵬ;F9;ḄGᑖHI110,ᵬ;GᑖJᨵKL9;GᑖḄ1.5Mᵬ;GᑖNOIPOQூSTUᫀ௃(1)20%,12%(2)700(3)ᵬ;NOG66ᑖ.ூXY௃Z⚪ᑖ᪆
(1)᪷]“1540”Ḅ^ᑖ3H⚣ᦪ`abᦪcdaebH஺Ḅg.ᑭᵨbᦪH^ᑖ3ae⚣ᦪj⊡ᐰᩩ(2)ᵨ᪵lbmᓽ`(3)✌ᐜqᵬ;Gxᑖᑣ9;G(110-x)ᑖᵫ⚪tGJᨵuᐵw
ᵬ;Gxᑖ29;Gxᑖy15,᪷]JᨵuᐵwᑡeJᨵu{YJᨵu{ᓽ`.Z⚪Y᪆
Y
(1)bᦪ
2304-46%=500(),1004-500X=20%,604-500X=12%500X22%=110(஺᝞ᡠ
45

45(2)3500X20%=700()(3)qᵬ;Gxᑖᑣ9;G(110-x)ᑖᵫ⚪tG
xN1.5(110-x),YG:x266.U
ᵬ;NOG66ᑖ.22.ᙠ^ABCDEBC)FIDE)NB=NAFE,AB=AF.a:ADF^ADEC.ூSTUᫀ௃Y᪆.ூᑖ᪆௃ᵫABCD`GeDC=AB,AD஻BC,AB஻CD,jAF=CD,ZAFD=ZC,NADC=/DEC,ᑭᵨAAS`Ge>.ூXY௃Y
ABCD/.DC=AB,AD஻BC,AB஻CD,.NADC=NDEC,VZB+ZC=180°,VZAFE+ZAFD=180o,ZB=ZAFE,/.ZAFD=ZC,VAB=AF,.AF=CD,46

46AF=CDAFDHADCEZAFD=NCZADF=ZDEC.,.ADF^ADECAAS.l⚪⌕ὃ&Ḅឋ¢Hᑨ¤¥¦Ḅ§¨©uYUl⚪Ḅᐵª..YU⚪ᐳ1«⚪¬ᑖ12ᑖ«⚪12ᑖ23.°¤±²³´ᦻᓄ⍡¸“º»±²”Ḅ;ᡂ*ᑖ½¾Ḅ¿ÀÁᙢ.“°¤±²”ÃÄÅÆÀÇÈ᰿.ᢚËAB஻CD஻xÎÏ᧜&ÑÒÓÔ±²ÃÄḄᓫÖyᐗFÙÚᦪÛxÜÝÞḄßᦪᐵw.1aá10WXW20åyFxḄßᦪᐵw{2æ$Ñ¿ÀÚÒÓÔḄ±²ÃÄbçèI2625ᐗë¿ÀìᐳÙÚíÒ±²ÃÄPOÜQbçè=ᦪÛxᓫÖூSTUᫀ௃1á10WXW20åy=-5x+2502¿ÀìᐳÙÚíÒ±²ÃÄ15ÜூXY௃ᑖ᪆
1qeßᦪY᪆{ðBஹC:Ḅᙶ᪗óᐭ`Gᡠaßᦪᐵw{2ᡠᵨçèõJᨵ200ḄMᦪöJᨵ150ḄMᦪ`GÃÄḄᓫÖᙠ150H200ÝÞ᪷]bÖuL2625GᑮᐗøùúûaYᓽ`.XY
(1)á10WXW20åy=kx+b(kr0)ÿ*(10k+b=200⚪l20k+b=150Tlb=250.**10

47ᓽx2-50x+525=0xi=15,X2=35+,-./01x=15.+12ᑖ.234567ᐳ9:;<=>?@15A.BC3D⚪◤FGᑖ᪆IᦪKLᑭᵨOPQᦪRST⚪+I.,ᑨWXY/Z[Ḅᦪ]^ᓫ`aSD⚪ḄbB.c.2⚪+ᐳ1d⚪eᑖ12ᑖfd⚪12ᑖ.24.᝞KᙠAABC[AB=AC,mABnopḄ஺஺rBCsBD,uBDvDEJ_ACsBE.+1.z{3DEa஺OḄᑗ~.+2.NB=30஺AB=8,zDEḄ.ூ2ᫀ௃+1.{᪆+2.DE=2V3.ூᑖ᪆௃+1.⌕{DEa஺஺Ḅᑗ~0⌕z{/O஻E=90°ᓽ;+2.ᑭᵨoῪḄឋᓽzDEḄ.ூ௃3+1.஺£>,ᑣ஺0=08,/.ZB=ODB"AB=AC,*.ZB=ZC.*.ZODB=ZC.*.0D//AC.48

48NODE=/DEC=90஺.஺£a஺஺Ḅᑗ~.(2)஺•ZBa஺஺Ḅop/ADB=90஺.VZ5=30°,/.AD=—AB=4,2BD=y/82-42=4A/3•,8AB=AC,.CD=BD=4ZC=Z8=30°.DECD=26.2D⚪ὃ¢£ᑗ~ḄᑨPopᡠ¥Ḅᙊᕜao¨30஺ḄoḄឋ©ªPᳮῪḄឋ¬⚪®¯ᨵb±²³Ḅ¬B´µ¶៉;¸¬a⚪Ḅᐵº.».2⚪(ᐳ1d⚪)25.¼¬½☢oᙶ᪗Q[ÁPBA(-1,0)ஹB(4,0),Ãᱥ~ax2+bx-2(a^O)uBA,B,⚔BnC,BP(m,n)(n<0)nÃᱥ~ÆÇB.(1)zÃᱥ~Ḅ᪆È⚔BCḄᙶ᪗(2)NAPBnÉzmḄ1ÊÌ35(3)m>-,NAPBnoÍ4Ãᱥ~ᔣÏᡈᔣѽÒt(0

49(3)ÏѽÒÚAD+DB"ᨬáᓽîïvXBC'ᐵsxð¥ñBḄᙶ᪗nC”,ᑮo~P"C"Ḅ᪆ÈᯠÔôABḄᙶ᪗õᐭᓽ.3(1)y=ax2+bx-2(a/0)uBA,B,.[a-b-2=0164+46-2=0'.1a=—23b[2Ãᱥ~Ḅ᪆Èn3y=x2-'x-222(2)᝞K1,mABnopvᙊM,ᑣÃᱥ~ᙠᙊᑁḄìᑖ÷ÚNAPBnÉ,35:.M(-,0),OMḄøp=Ç.22TPaÃᱥ~^yðḄrB.•.OP'=2,*.MP'=y]0P'2+OM2=-,2.♦.Pᙠ0Mt,.PḄ¥ñB(3,-2),.,.-l

50Ãᱥ~ᔣÏᡈᔣѽÒênABஹaPÊᡠmAஹBஹPஹCᡠ᪀ᡂḄµßḄᕜᨬá,0⌕AC+BPᨬd<ùú3Ãᱥ~ᔣѽÒAC+BPAC+BP,Y/<ùú3ᔣϽÒ᝞K2ᡠûᵫ(2)¬P(3,-2),325/•C*(--t,~—),P*(3-t,-2),28•AB=5,*.P"(-2-t,-2),⌕ÚAC+BPᨬá0⌕AC+AP"ᨬáᓽ,325BCᐵsxðḄ¥ñBC"(--t,—),28üo~P"C"Ḅ᪆Èn3y=kx+b,-2=(-2-t')k+h,25,3ஹ,.—=(——t)k+b[8'2,41k=—28,4113b=—tH-----2814ST414113.o~y=—xH----1H------282814P஻ஹAஹC"ᙠÇᩩo~Æᕜᨬd,414113-----x+—1+Ç=028281451

5115••ᱏ—.41ᦑᱥᔣ”ᓫAஹBஹP\Cᡠ᪀ᡂḄḄᕜᨬ.41ᑭᵨ"#$Ḅឋ&'()*+,Ḅᨬ-.⚪01Ḅ2⌕456ᳮᨵ919:;<ᨬ=2>?9:@ᜧBC>.52