2022-2023学年贵州省铜仁市中考数学专项提升仿真模拟试题（一模二模）含解析

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2022-2023
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17%4&ᩩVW5:ম\᪛o:ᵱᵱᵱ᝕᝕/IV.ᵱᵱ᝕᝕ᵱᵱ᝕᝕ᵱᵱ᝕᝕ᵱᵱᵱ᝕ᵱᵱᵱ᝕ᐳᨵ20`aAbḄcdᦪᐸOᡠḄ2ា1᝕1ᵱḄcdᦪo12,123.•.ᡠḄ2ា1᝕1ᵱḄᭆ᳛===—.205N⚪ὃᩩVW5ஹᡧVW5ஹᑡ⊤ᡈ᪛ᭆ᳛ᨵḄW5OBᑮ⌕Ḅ(⚪Ḅᐵ.N⚪ὃḄo*ᭆ᳛=ᡠᦪ7ᦪ4.21.᝞᪥ᦟᜧḄ⚔ᨵᙽ“¡ᦻ£¤¥¦”Ḅ§¨CD.©£ᙠªᚁḄᚁ¬Aᜐ®B§¨¯DḄ°±o60஺³ªᚁᔣµ¶ᑮBᜐ®B§¨⚔CḄ°±o45஺.·ªᚁABḄᚁ¸i=L,AB=1O¹AE=15¹mᙽ§¨CDḄº¸.%®±ᘤḄº¸¼ᶍᨵ5cdᑮ0.1¹.¾ὃᦪG*=1.414,=1.732ASூᫀ௃2.7¹ூk(௃(*¿BF1DEÀF,BG±AEÀGu18⚓/749⚓

18ᙠRtAADEOnpVtanZADE=-AE'.DE="AE"-tanZADE=15:ªᚁABḄᚁ¸i=l*J5AB=10ABG=5,AG=5y5$.EF=BG=5,BF=AG+AE=5ஹ$+15VZCBF=45°.*.CF=BF=53+15V.\CD=CF+EF-DE=20-10J3=20-10x1.732=2.68=2.7*mᙽ§¨CDḄº¸o2.7¹.22.᝞·CLᨴ8oÂÃḄ஺஺µCHL4BH,Ä8¿஺஺ḄᑗÆÇÂÆ/CÀ஺EoC”ḄOÈÉ4EÊËÌÇ8஺ÀÍÂÆCÍÇAffḄËÌÆÀG.1
Î*4EFD=4F,EC2
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FB=FE=2,DOḄÏÃrḄÌ.ூᫀ௃%1
k'(᪆$%2
k'(᪆$%3
272.u19⚓/749⚓

19ூk(௃Σ*%1
8஺஺஺ḄᑗÆ,/.NDBA=90஺,CHA.AB,NAHC=NABD=90°,'.CH//BD,./\AEC^/\AFD,.AECE••=,AFDFAEFD=AF*EC(2)᝞ÈÉBG,:CH஻BD,'.Ð4ECs/\AFD,AAHEsÐo8Í,.AE_CEAEHE^~AF~~DFy~AF~~BFfCEHECEDFnn•.-----=-----,ᓽ=------,DFBFHEBF••EoCḄO:.DF=BF,TABÂÃN4CB=NBCD=90°,:CF=DF=BF(3)᝞ÈÉOF,u20⚓/749⚓

20:FC=FE=2,,./FEC=/FCE,*.*ZFCE+ZG=NFEC+Nᵨ5=90஺,:"FAB=4G,'.FA=FG,:.AB=BG,*'AO=OB,BF=DF,'.OF//AC..GFGO••----=-----=J,FCOA:.FG=3FC=6,,BG=y/FG2-FB2=V62-22=4gOA=OB=ஹAB=LBG=26,22ᓽ஺஺ḄÏÃ,ḄÌo20.23.ᖪÓTÔÕÖ×o80ᐗḄ`ᖪÙÚᩭᢥÔÕ100ᐗÝAÝ100Õ.gᩭÞÓßàm`ᖪÙᓫ×Ôâã1ᐗᐸ├åAæç10Õ.(1)ᖪÓè⃩êᖪÙÚᩭAëᑭìíîᐗï(2)ñgᩭêᖪÙÔÕâ×xᐗᖪÓAëᑭìyᐗ.জóᖪÓè⃩êᖪÙ⌕ëᑭì2160ᐗᑣÔÕᖪÙõâ×íîᐗïঝyx÷ḄøᦪᐵùjÊúÄ\êøᦪûḄ₝ýþᐸûḄÿᓄ
⚪ᑏxᖪᑭᨵ2160ᐗ.ூᫀ௃(1)ᑭ2000ᐗ(2)জ"#ᖪ$%&'2ᐗᡈ8ᐗঝ24x48ᖪ*ᡠᑭᨵ2160ᐗ.ூ,-௃.(1)/ᩭᑭ.20x100=2000ᐗ(2)(l)y=(20-x)(100+lOx)=-10(x2-10x-200),ᵫ-10(x2-10x-200)=2160,-2.Xi=2,X2=8,••"#ᖪ$%&'2ᡈ8ᐗঝ45672.89:8;21⚓/>49⚓

2124.᝞6ᙠAABCBZACB=90°,NABC=30஺Z\CDEDEF8GHIDᙠFABJ.DHBK1
᝞61,IEᙠFBCJLMDE=EB.2
᝞62,IEᙠaABCᑁOPQEDREBᦪTᐵVWXYMZ3
᝞63,IEᙠaABC᜜OEH_LABIH,\IE]GE஻AB,_`aACḄcd`IG,AG=5CG,BH=3.LCGḄd.ூᫀ௃K1
MZe-᪆K2
ED=EB,MZe-᪆K3
CG=2.ூᑖ᪆௃K1
ஹ᪷jEF8GHḄឋl2NCED=60஺mn2/EDB=30஺mn2DE=BE2
ஹABḄBI0,opCOஹE0,᪷jqACOR4CDErEF8GHmn24ACDR40CEᐰEᯠu2aCOERaBOEᐰEmn2ᫀ3
ஹABḄBIO,opCOஹEOஹEB,᪷j⚪2qCOERABOEᐰEᯠu24CEGRqv—ᐰExCG=a,yizAG=5a,OD=a,᪷j⚪ᑡ|ᐗ}~LaḄ2ᫀ.ூ,-௃Kூ•qCDEDEF8GH.*.ZCED=60°,J.ZEDB=60°-ZB=30°,AZEDB=ZB,DE=EB2
ED=EB,ᳮᵫ᝞.ABḄBIO,opCOஹEO,VZACB=90°,ZABC=30°,AZA=60°,OC=OA,...qACOrEF8GH.♦.CA=CO,VACDEDEF8GH.NACD=NOCE,.♦.qACDqOCE,/.ZCOE=ZA=60°,;22⚓/>49⚓

22.•.ZBOE=60°,/.qCOE^ABOE,EC=EB,ED=EB(3)ஹABḄBIO,opCOஹEOஹEB,ᵫ(2)WAACD^AOCE,JZCOE=ZA=60°,.e.ZBOE=60°,ACOE^ABOE,EC=EB,ED=EB,VEH±AB,DH=BH=3,•GE஻AB,.•.ZG=180°-ZA=120°,/.qCEG^ADCO,/.CG=OD,xCG=a,ᑣAG=5a,OD=a,AC=OC=4a,VOC=OB,4a=a+3+3,-2a=2,ᓽCG=2.;23⚓/>49⚓

232022-2023
ḕὃᦪ⚗ᓣ⚪!ஹ⌱⌱⚪3ᑖᐳ30ᑖ.⚪-ᨵ/01⌱⚗2301⌱⚗Ḅ5678"ᙠ:☢Ḅ⊤=ᑁ.1,opvஹᦻḄᜧ᫑--ᜧ᫑ᦋᢇx᫑>r1460000000ᐗᦪj1460000000ᵨ¡ᦪ¢⊤¤%DK¥A.1.46xl07B.1.46xl09C.1.46xlO10D.O.146xlO102.᝞6¦Zm☢45|¨ᙊª«¬R|¨}«®¯°ᑮḄDK¥3.ᑡ²³ḄDK¥A.-2x2
3=-6x6B.X4-rX2=X2C.2x+2y=4xyD.x+y
-y+x
=y2-x24.|¨´¯ᑁµᨵᜧ¦ஹH¶·¸Ḅ¹¨ᳫᐸB¼ᳫ1¨ஹ½ᳫ1¨ஹ¾ᳫ2¨¦Z᥎|¨ᳫᨵÀÁÂ᥎|¨ᳫᑣÃÄ᥎ᑮ¾ᳫḄᭆ᳛DK¥1111A--C-2B.46D.125.᝞6ᙠÇ☢ÈGᙶ᪗VxOyBËÌIA2,1
RIB3,0
,ᑣsinNAOBḄE;24⚓/>49⚓

24A.—B.ÍC.—D.522x+1>06.ÎᨵEÏÐÑÒḄ-⊤¤ᙠᦪÓJḄDK¥x-l<0A.I♦■B..C.A.1.D.-101-101-ioi-1017.ÔÕBµᨵᜧ¦|᪵Ḅ3¨¾ᳫஹ2¨×ᳫ,mÔÕBÙ᥎|¨ᳫ,ᑣᑡBDÚᯠḄD()A.᥎ḄD¾ᳫᡈ×ᳫB.᥎ḄD×ᳫC,᥎ḄD¾ᳫD.᥎ḄD¼ᳫ8.ËÌÜ஺O2·ᑗÞ00,Ḅßàr1,ᙊḄᙊáâr5,ᑣ஺஺2Ḅßàrூ௃A.4B.6C.3ᡈ6D.4ᡈ69.᝞6஺PIA(0,V3)>0(0,0)ஹB(l,0),ICᙠã▲Ḅ᪗JᑣZBCOḄåᦪr(
A.15°B.30°C.45°D.60°10.ᙠ¸|ÈGᙶ᪗VBæᦪN=/»x+XRæᦪy=-஻1/+2x+2(XDçᦪèéê0);25⚓/>49⚓

25!ஹ"#⚪⚪3ᑖᐳ24ᑖ.11.Þϯ%?ᨵíᑣîᦪ”ḄñD.a—\12.ó᝞6ᡠ¤Ḅ}«Ḅôõ6ö÷ᢚùᡂ}«uR“%”ü·ý☢JḄþüD.EBJ13.᝞DE஻BC,AE=EC,DEᑮF,EF=DE,AF,FC,CD,ᑣADCF14.ᑖx2^-x4y2=_.15.()*+,-10/Ḅᡂ234᝞⊤ᑣ610/ᡂ2Ḅ7ᙳᦪ:.ᑖᦪ54321/ᦪ3113216.<=ᱥ?y=x2-4x+5ḄAᔣC7D3FᓫHIᔣJ7D2FᓫHᡠLAḄ᪆N17.᝞©0NQῪSTABCḄ᜜ᙊAB=AC,ZA=45°,BD:OOḄZ[BD=2\]CD,^°BC=._26⚓/b49⚓

26D18.deJᑡQ:1x2=—x(1x2x3-0x1x2)312x3=-x(2x3x4-1x2x3)33x4=-x(3x4x5-2x3x4)34h3x[lx2+2x3+3x4+...+nn+1
]=SஹjJᑡᔜ⚪mᐳ96ᑖo3A<2_4%+4x19.pqᐜᓄt----x+1+-——-,ᯠvw—⌱zFᔠ〉Ḅ᦮ᦪ~:1x+l
Ix+1,XḄᐭ.20.জ⊤ḄN(ᔠᖪ15ᨴḄᖪᔜᨴbḄঝ⊤ḄNᖪᔜᨴᓰᖪᨴbḄᑖdeজஹঝjJᑡ⚪:ᖪANOPᔜᨴ├EGᓰᖪARᨴ├EFGḄSᑖTHIJᖪAᔜᨴ├EFGHIJ├EFGKᐗJজm1oᩭᖪḄᦪ⊤ᖪ15ᨴḄᖪbzᐳN410¡ᐗpq᪷6z¤¥¦জḄ34⊡ᐙ©᦮;_27⚓/b49⚓

27(2)ᖪ5ᨴḄN®¯¡ᐗ°(3)±²deঝv³:5ᨴᖪḄ4ᨴ´¯µ.q¶·¸Ḅ¹ºᔩ°p¼ᳮᵫ.21.ᙠzFÀᨵÂḄÃÄÅᨵFᑖÆ᪗ᨵᦪÈ1,2,3,4Ḅ±ᳫÊËḄÌஹᜧ±ஹÎᙢQ©ᐰѶ.±ᐜwÃÄÅÒÓÔÕzF±ᳫÖJᦪÈ:x×ØÙÃÄ᤯ᒴvIᵫ±ÜÒÓÔÕzF±ᳫÖJᦪÈ:y.(1)ᵨᑡ⊤ºᡈß᪛Ì⊤Õ(x,y)Ḅᡠᨵá*ÕâḄ]ã×4(2)±ஹ±ÜᔜÔ±ᳫᡠäåḄ(x,y)æᙠçèéᦪê=zḄA\Ḅᭆ᳛x4(3)±ஹ±ÜᔜÔ±ᳫᡠäåḄᦪxஹyíîyீzḄᭆ᳛.x22.᝞ᜧðABḄñ:16m,óᜐᨵzᛞCD,±öᙠð÷Aᜐ,Lᛞ⚔DᜐḄùT:60஺,ᙠð⚔Bᜐ,Lᛞ⚔DᜐḄùT:45஺ᐸAஹCüᑖÆHýBஹDüþJÿ\
AஹCᙠᛞCDḄ.(0=1.73,ᶇ!ᦪ.)23.᝞'AB)஺0Ḅ+,C)00-NBAC=NCAM,0C1+1ᚖ+34AM,ᚖ5))(1)6ᑨ8CD9஺0Ḅ:ᐵ<=>?ᳮᵫB(2)-+19ABḄCDEF3E,஺஺ḄH,)3,=
NCAB=30°,CEḄD.24.KLMᔆOPQRᡂT)10ᐗ/WḄLMXᢗZ[\]^6├.`28⚓/c49⚓

28,eᑮ᝞gᦪh:ᓫkX(ᐗ/W)2030405060lᜩny(W)500400300200100(1)o⊤qXஹyḄᔜstuv1)Ḅᙶ᪗ᙠg☢Ḅ☢+zᙶ᪗

29(1)AB0CḄDB(2)E®A|¯°X«ᔣB²³(E9AஹBᨵ´ᔠ)0E1+I^BC,FAC3D.OAEḄD)m,4ADEḄ☢¶)s,sᐵ3mḄᦪᐵ<=ᑏ|·¸nmḄvºB(3)ᙠ(2)ḄᩩWgCE,4CDE☢¶ḄvB¼|½E)ᙊ¿9BCEᑗḄᙊḄ☢¶(ᶇrt).`30⚓/c49⚓

302022-2023
ḕὃᦪ⚗ᓣ⚪!ஹ⌱⌱⚪3ᑖᐳ30ᑖ.⚪-ᨵ/01⌱⚗2301⌱⚗Ḅ5678"ᙠ:☢Ḅ⊤=ᑁ.1.ÁÂஹᦻÄ[ḄÅÁᜧ᫑--ÈÉᜧ᫑ÊËÌͯᦋÏᢇÑÒO᫑ÓPcÔ)1460000000ᐗᦪh1460000000ᵨÖ×ØᦪÙ⊤ÚuÛÜA.1.46xl07B.1.46xl09C.1.46xlO10D.O.146xlO10ூÞßàᫀ௃Bூãä௃᪷hÖ×ØᦪÙḄæÖ×ØᦪÙḄ⊤Úç)axlO஺ᐸql£|a|<10,n)᦮ᦪ⊤Úᐵê⌕ÞßßaḄv½ënḄv.ᙠßnḄvìᦪᜧ3ᡈî31ï!31.ᦪᜧ3ᡈî31n)ðḄ᦮ᦪᦪñ1Bᦪ!31n)ðòᨵᦔᦪôÉ0ḄòᦪÛõ!ᦪÉḄ1ò0
.1460000000ᐳ10®÷1460000000=1.46xl09.ᦑ⌱B2.᝞'!?®Þ☢úûòᙊüýþÿ
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3=-6x6B.x4-i-x2=x2C.2x+2y=4xyD.x+y
-y+x
=y2-x2ூᫀ௃Bூ௃ᑖ᪆᪷()Ḅ*ᐜ,-
./ᑖ0*1,ᡠ3Ḅ45*678ᦪ:5◀,=31⚓/@49⚓

318ᦪAᨵCᢣᦪ5E6FGH/Iᔜ⌱⚗ᑖ᪆ᑨMNᑭᵨ᣸◀R.AஹTU(-2x2)3=-8X6,ᦑ[⌱⚗┯]6BஹX4TX2=X4-2=X2,;Cஹ2x+2y5dAᨵ5*ᡠef%┯]ᦑ[⌱⚗┯]6DஹTU(x+y)(-y+x)=x2-y2iᦑ[⌱⚗┯].ᦑ⌱B.4.
kᑁmᨵᜧoஹp57Ḅqᳫᐸtuᳫ1ஹwᳫ1ஹxᳫ2oy᥎{
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ᳫᑣ᥎ᑮxᳫḄᭆ᳛()1111A.T-B.-C.—D.—24612ூᫀ௃cூᑖ᪆௃᪛p{ᐳᨵ12ᔠ⚪3ᨵ2.ூ௃᪛p3wxxuxxuwxuwx:ᐳᨵ12Ḅ᥎ᑮxᳫḄᨵ221.••᥎ᑮxᳫḄᭆ᳛—126ᦑᫀUC.[⚪ὃ᪛pᭆ᳛᪛pḄR¡{ᡠᨵḄ¢ᔠ⚪Ḅ[⚪Ḅ⚪ᐵ¤.5.᝞ᙠF☢¨©ᙶ᪗¬xOyt®¯°A(2,1)°B(3,0),ᑣsin/AOBḄ¶·()=32⚓/@49⚓

32B4CT¹2ூᫀ௃AWXூ௃⚪ᑖ᪆º»ᦪḄ¼½º¾-¿I=/ᵫ⚪3sinNAOBÁᦑ⌱A.J12+225ὃ°┦©Ã©»ᦪḄ¼½°Ä[⚪Å·:ẠTᵨ⚪Ç◤ÉÊË̺»ᦪḄ¼½ᓽÎᡂ.6.,Aᨵ/Ðீ,Ḅ⊤ÓᙠᦪÔ¿Ḅx-l<0ூᫀ௃Bூᑖ᪆௃ᐜ{
ᐗAᨵ/ÐḄ,ᯠNᙠᦪÔ¿⊤Ó{ᩭᓽ.x+1>0ூ௃x-l<0*xு—1X<1Aᨵ/ÐḄU6ᙠᦪÔ¿⊤Ó᝞":ᦑ⌱B.=33⚓/@49⚓

33[⚪Ù⌕ὃ
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34A.15°B.30°C.45°D.60°ூJKᫀ௃BVtanZOAB=—=—,OA3/.ZOAB=30°,.,.NOCB=NOAB=30°MᙊᕜOPᳮR.ᦑ⌱B.10.ᙠSTUOᙶ᪗XYᦪZ=+[\Yᦪy=-Tn/+21+2M[]^ᦪ_[஺0
Ḅ2`a]MRA.D35⚓/H49⚓

35c.ூJKᫀ௃Dூᑖ᪆௃ᑖde0f"?i0jklὃ⇋YᦪḄ2>o᯿qr⌱⚗ᓽtuv.ூw௃/ஹᵫYᦪymx+mḄ2>|ᓽYᦪy-[}+2~+2ᔣA2>ᨵᦑ/⌱⚗┯*82]BஹᵫYᦪy஻zx+[Ḅ2>|[i0,o=--=-----=—i0,ᑣoᙠZ2a-2mm2>ᨵᦑ8⌱⚗┯*CஹᵫYᦪ[x+[Ḅ2>|e0,ᓽYᦪy-□N+2x+2ᔣ2>ᨵᦑ஺⌱⚗┯*஺ஹᵫYᦪ[r+Ḅ2>|[i0,ᓽYᦪ■□/+21+2ᔣAoh51x=-——=-----=—i0,ᑣoᙠy2>ᦑ஺⌱⚗JK*2a-2mmᦑ⌱D.⚪⌕ὃYᦪ\¡YᦪḄ2>ᡠḄ>▲Ḅ£⚪ᐵ¤][ḄJ¥ḄKPo¦¡Yᦪy=ax2+bx+c,§஺e0¨ᔣA*§¨ᔣ.ox=-2,ZḄ©42aᙶ᪗M0cR.ஹ«¬⚪M⚪3ᑖᐳ24ᑖ.R11.¯°±²ᨵ³´ᑣµᦪ஻Ḅ¶·¹].“T1ூJKᫀ௃PT2_4rlூᑖ᪆௃U¼ᑭᵨ¡᪷¯ḄឋÁtaḄ¶·¹.ூw௃•.•¯°Ä1ᨵ³´,a-\*••^+2^0,a—IwO,**•ci2—2_aw1*D36⚓/H49⚓

36ᦑa2-2_஺É1*Ê⚪⌕ὃË¡᪷¯ḄឋÁJKÌÍ¡᪷¯ḄឋÁ]⚪ᐵ¤.12.Î᝞2ᡠÏḄJÐḄÑ2ÒÓᢚÕᡂJÐ×\“”Ùo☢AḄÛÙ]ூJKᫀ௃☟ூw௃JÐḄ⊤☢Ñ2oḄ☢ÞTP◞TrJà᪷áâTᱯ4ä.JÐḄ⊤☢Ñ2oḄ☢ÞTP◞TrJà"å""ὃ"o"Ḽ""ç"o"""☟"o.ᦑᫀ☟.13.᝞2DE/7BC,AE=EC,êëDEᑮ4F,îEF=DE,ï¼AF,FC,CD,ᑣ2XqðàADCF].ூJKᫀ௃ñòqðàூw௃᪷áoOóôñᑖḄqðà]ñòqðàᓽᑨö.14.÷¯ᑖx2/-x4y2=—.ூJKᫀ௃x2y2(x+y)(y-x).ூᑖ᪆௃ᐜù¶ú÷¯x2y2×ûüᵨñýú¯ᑖᓽூw௃x2y4-x4y2=x2y2{y1-x2^=x2y2(x+y)(^-x).15.þ¡aÿ
10Ḅᡂ᝞⊤ᑣ10ᡂḄᙳᦪ.ᑖᦪ5432137⚓/49⚓

37ᦪ31132ூ"#$ᫀ௃3.ூ'(௃
⚪ᑖ᪆+,⚪-./ᩗᙳᦪ12ᦪ34567ᦪ8◀5ᦪ:+(5x3+4xl+3x1+2x34-1x2)-r(3+1+1+3+2)=30+10=3.ᑣ10ᡂḄᙳᦪ3.ὃ=+./ᩗᙳᦪ.16.>?ᱥAy=x2-4x+5ḄBCᔣEF32ᓫH8ᔣIF22ᓫHᡠKBCḄ(᪆L-ூ"#$ᫀ௃y=xJ10x+24.ூ'(௃
⚪ᑖ᪆+ᐜᑭᵨPQRS?ᱥAy=xJ4x+5ᑏᡂ⚔=L8᪷3"X/IYZ/EY”Ḅ\ᑣ]^($ᓽ`.
⚪(᪆+y=x2-4x+5=(x-2)2+1,ᵫ“Z/EY”Ḅ\ᑣ`c?ᱥAy=(x-2)2+1ḄBCᔣEF32ᓫHᡠKdᦪBCḄᐵfL-+y=(x-5)2+1gᵫ"X/IY"Ḅ\ᑣ`c?ᱥAy=(x-5)2+1ḄBCᔣIF22ᓫHᡠKdᦪBCḄᐵfL-+y=(x-5)2-i,ᓽy=x2-10x+24.ὃ=+hidᦪBCjklmᣚ.17.᝞BO0-oῪqrsABCḄ᜜uᙊAB=AC,ZA=45°,BD஺OḄxyBD=2/z{CD,ᑣBC=.ூ'(௃
⚪ᑖ᪆+|BD஺஺Ḅxyᡠ5NBCD=90஺}/A=/D=45஺ᡠ5BC=BD,|BD=20ᡠ5BC=2.38⚓/49⚓

38ὃ=+1.ᙊᕜrᳮᐸ2.ᳮ.18.IᑡoL+11x2=—x(1x2x3-0x1x2)32x3=-x(2x3x4-1x2x3)31ஹ3x4=—x(3x4x5-2x3x4)3+3x[lx2+2x3+3x4+...+n(n+1)]=ூ"#$ᫀ௃n(n+1)(n+2)ூ'(௃
⚪(᪆+••1x2=1x(Ix2x3-Oxlx2)32x3=-x(2x3x4-lx2x3),33x4=-x(345-234),3**.n(n+1)=—[n(n+1)(n+2)-(n-1)n(n+1)],/•3X[1X2+2X3+3X4+...+n(n+1)]=3x—[lx2x3-0xix2+2x3x4-lx2x3+3x4x5-2x3x4+...+n(n+1)(n+2)-(n-1)n(n+1)]=n(n+1)(n+2).ᦑ$ᫀn(n+1)(n+2).qஹ($Iᑡᔜ⚪(ᐳ96ᑖ)(3>f2_4%+4x19.ᐜᓄ+------x+1+----------------,ᯠ⌱2ᔠ〉Ḅ᦮ᦪ\x+l)Ix+1JXḄ¡ᐭ..2+xூ"#$ᫀ௃-£x=0¤\L=1.2-x39⚓/49⚓

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x+1x+1x-2
2_2+x2-x£x=0¤\L=1.20.Bজ⊤¯Ḅ-°±ᔠᖪ³´µ15ᨴḄᖪ·ᔜᨴ¸Ḅ¹ºBঝ⊤¯Ḅ-ᖪ³¼½¾ᔜᨴ¸ᓰᖪ³£ᨴ¸ḄÀᑖÁ¹ºBজஹBঝ($IᑡÂ⚪+ᖪANOPᔜᨴ├EGᓰᖪARᨴ├EFGḄSᑖTHIJᖪAᔜᨴ├EFGHIJA├EFGKᐗMஹ1001001rIB90806040200AᨴZ12345JজJঝ1ᩭÄᖪ³ÅƾḄᦪ3ÇÈ⊤Éᖪ³15ᨴḄᖪ·¸ᐳ-410Êᐗ᪷3ÌÍSBজḄB⊡ᐙÐ᦮;2ᖪ³¼½¾5ᨴÒḄ¸-ÓÔÊᐗ?3Ö×BঝØ5ᨴÒᖪ³¼½¾Ḅ¸Á4ᨴÒYÔÙ.ÚÛÜḄÝRᔩßàÉᳮᵫ.ூ"#$ᫀ௃175
212.8Êᐗg3Ö×ḄàR-┯âḄூᑖ᪆௃1᪷3Bজ`K1ஹ2ஹ3ஹ5ᨴÒḄ¸8ᵨḄ¸405ÊᐗᑖãYä1ஹ2ஹ3ஹ40⚓/49⚓

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405-100+90+65+80
=405-335=70¨Êᐗg᝞B+ᖪAᔜᨴ├EFGHIJS02
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BᙠDEFGᦪH=Ḅ4JKḄᭆ᳛#x43
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VW᪆#,2
P=#3
P=—.1616Z41⚓/]49⚓

41ூᑖ᪆௃(1)᪷c⚪eᑡ⊤fᓽ8;4(2)jᑮA(x,y)BᙠDEFGᦪo=Ḅ4JKḄᙶ᪗ᦪ)ᑭᵨᭆ᳛st=W;x(3)᪷cxy<4=89Ḅxyᓽ8ᵨᭆ᳛st=W.ூzW௃(1)(x,y)Ḅᡠᨵ89:Ḅ;<᝞⊤12341(1.1)(12)(1.3)(1.4)2(2,1)(2,2)(2.3)(2,4)3(31)(3,2)(3,3)(3,4)4(41)(4,2)(4.3)(4,4)3(2)|⚪e}P=16(3)|⚪e}P=—16⚪⌕ὃᭆ᳛ḄW⚪Ḅᐵ᪷c⚪eᡠᨵḄ89xyᑡ⊤f.22.᝞4ᜧABḄ"16m,ᜐᨵᛞCD,ᙠAᜐ}ᛞ⚔DᜐḄ"60஺,ᙠ⚔Bᜐ}ᛞ⚔DᜐḄ"45஺ᐸAஹC¡Aᑖ¢£¤BஹD¡AR¥¦AஹC¡Aᙠ§¨©K=ᛞCDḄ.(6=L73,;<¬ᶇ£ᦪ.)ூR?Sᫀ௃ᛞCDḄ®"37.9°ூzW௃±⚪ᑖ᪆²✌ᐜᑖ᪆4᪷c⚪e᪀⌼¶·.¸⚪¹º¡¶·ᓽRtABED¾RtADAC,ᑭᵨ¿ÀḄRᑗᑖ¢8}ᑮᐵ¤ACḄ¥ÂÃ=DC.Z42⚓/]49⚓

42±⚪W᪆²ÄBE_LCD¤E.8}RtABED¾ÆACEB.ᑣᨵCE=AB=16,AC=BE.ᙠRtABEDZDBE=45°,DE=BE=AC.ᙠRtZkDACZDAC=60°,DC=ACtan60°=ÍAC.V16+DE=DC,A16+AC=/3AC,>W}²AC=8Í+8=DE.ᡠÒᛞCDḄ®"(873+24)°u37.9°S²ᛞCDḄ®"37.9°.23.᝞4AB"஺0Ḅ¶ÔAC"஺0KAÕNBAC=NCAM,ØACĶ©1ᚖ¶¤Ú©AM,ᚖO"AD.,1Û±ᑨÝCDÞ00Ḅ£ßᐵàáâᳮᵫ#,2ÛÕ¶©1ÞABḄäå©æ¤AE,஺஺ḄçÔ"3,á¦NCAB=30°,=CEḄå.ூR?Sᫀ௃,1Û¶©CDÞ00ᑗ,2Û3ÍூzW௃W²,1Û¶©CDÞ஺஺ᑗ.ᳮᵫ᝞:éê0C,Z43⚓/]49⚓

43DVOA=OC,ZBAC=ZOCA.VZBAC=ZCAM,/.ZOCA=ZCAM.OC஻AM.VCD1AM,AOCICD.#OC00ḄçÔ충CDÞ஺஺ᑗ.(2)VZCAB=30°,AZCOE=2ZCAB=60°..•.ᙠRQC0E0C=3,CE=OCtan60°=3V3.(1)⌕îØᙊK¿ÀAḄ¶©ᙊḄᑗ©ðñ◤éêᙊó¾ôA)îØ¿ÀAḄçÔᚖ¶¤ôᩩ¶©ᓽ8.öéêCO,᪷c/OCA=NCAM,îDC஻AD,)᪷cCD^AM,}0C1CD,ÃîCD00Ḅᑗ©.(2)ᵫ⚪e}/COE=2NCAB=60஺ᑣᙠRt^COE÷ᵨRᑗGᦪ@øᓽ8=W..24.ùúûᔆýþÿᡂ
10ᐗ/Ḅᢗ├.,ᑮ᝞ᦪ:ᓫX(ᐗ/)2030405060ᜩ!y()500400300200100(1)"#⊤%xஹyḄᔜ()*+,-Ḅᙶ᪗0ᙠ☢Ḅ3☢45ᙶ᪗6%789*Ḅ-0:;y

44ூ]^_ᫀ௃(1)y=-10x+700h(2)LᓫxF30ᐗO0ᔆ├GᜩQḄᑭS8000ᐗh(3)Lx=40O0Wᨵ+9000ூop௃⚪ᑖ᪆t(1)ᑭᵨ7-v8ᔜ-wx0yᑭᵨzF6ᦪvA=ᦪp᪆?ᓽ|;(2)ᑭᵨᑭS=V-ᡂ
Vᡈὅ├!xᓫᑭS=VᑭS0y8?A8ᓽ|h(3)ᑭᵨ├!xᓫᑭS=VᑭS,ᑣ\¥=(x-10)(-Wx+700)A8ᨬ+ᓽ|.⚪p᪆t(1)᝞tᦑ=ᦪḄᐵ6?Xty=-lOx+700t(2)ᵫ⚪|:(x-10)(-Wx+700)=8000,ptx=30ᡈx=50(Hᨵᔠ⚪)ᦑLᓫxF30ᐗO0ᔆ├GᜩQḄᑭS8000ᐗ;Y45⚓/V49⚓

45(3)ᔆ├GᜩQḄᑭSXWᐗ0⚪tW=(x-10)(-lOx+700)=-10X2+800X-7000=-10(x-40)2+9000ᦑLx=40O0Wᨵ+9000.25.ᙠaABC%0ZACB=2ZB,(1)᝞জ0LNC=90஺0ADNR4CḄ53ᑖO0ᙠAB#AE=AC,DE,᧕AB=AC+CD.AB=AC+CDt(2)জ᝞ঝ0L/CW90஺0ADNBACḄ53ᑖO0ABஹACஹCDᨵ᪵Ḅᦪ!ᐵ6T4ᑏ8£Ḅ¤¥0Hᨵ⌕Ahঝ᝞ঞ0LNC#0஺0ADAABCḄ᜜53ᑖO0ABஹACஹCDᨵ᪵Ḅᦪ!ᐵ6Tᑏ8£Ḅ:;@.BJজJঝJঞூ]^_ᫀ௃(1)©p᪆h(2)জAB=AC+CDhঝAC+AB=CD,©p᪆.ூᑖ᪆௃(1)✌ᐜ8¬AEDgz^ACD(SAS),ᓽ|8NB=NBDE=45஺0A8BE=DE=CD,y8_ᫀh(2)জ✌ᐜ84AEDZ\ACD(SAS),ᓽ|8NB=NBDE,A8BE=DE=CD,y8_ᫀhঝ✌ᐜ84AED®AACD(SAS),ᓽ|8NB=NEDC,A8BE=DE=CD,y8_ᫀ.ூop௃pt(1)hADNBACḄ53ᑖ0.*.ZEAD=ZCAD,ᙠ4AED¯4ACD%0VAE=AC,ZEAD=ZCAD,AD=AD,.,.¬AED^AACD(SAS),h.ED=CD,ZC=ZAED=90°,VZACB=2ZB,ZC=90°,h.NB=45°,AZBDE=45°,Y46⚓/V49⚓

46h.BE=ED=CD,h.AB=AE+BE=AC+CDh(2)জAB=AC+CD.ᳮᵫtᙠAB#AE=AC,DE,VADNABCḄ53ᑖ0ZEAD=ZCAD,ᙠZ\AED¯ZkACD%0tAE=AC,NEAD=NCAD,AD=AD,.,.¬AED^AACD(SAS),h.ED=CD,ZC=ZAED,VZACB=2ZB,.,.ZAED=2ZB,VZB+ZBDE=ZAED,NB=/BDE,BE=ED=CD,h.AB=AE+BE=AC+CDhঝAC+AB=CD.ᳮᵫtᙠ±BA#AE=AC,DE,VADNEACḄ53ᑖ0.*.ZEAD=ZCAD,ᙠAAED¯AACD%0VAE=AC,ZEAD=ZCAD,AD=AD,/.¬AED^AACD(SAS),h.ED=CD,ZACD=ZAED,VZACB=2ZB,.•.NB=x,ᑣNACB=2x,NEAC=3x,ZEAD=ZCAD=1.5x,VZADC+ZCAD=ZACB=2x,AZADC=0.5x,.*.ZEDC=x.r.ZB=ZEDC,.,.BE=ED=CD,AAB+AE=BE=AC+AB=CD.জঝঞ³⚪´⌕ὃ¶·ᐰ¹5ºḄᑨF<ឋ½¾¿¹5º᜜5Ḅឋ½ÀÁ0ᑭᵨÂÀ8Y47⚓/V49⚓

47¬AED^AACDXp⚪ᐵÃ.1,326.᝞0Äᱥy=-x2--*Æ9<ÇÈÉÊËஹBÌ-0

482222*8Q1AACDEḄ☢×Æ08L99³O0AE=m=—,BE=AB-AE=-.22BC=06?+92=3è0éljRtZ\BEFsRt/\BC஺0t——=ë—,ᓽtEF2ocBCWF...¾E-ᙊÞ0