江苏省徐州市邳州市2021-2022学年十校联考最后数学试题含解析及点睛

《江苏省徐州市邳州市2021-2022学年十校联考最后数学试题含解析及点睛》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。

2021-2022ὃᦪᔁὃ1,ᐰᔁᑖ⌱⚪⌱⚪ᑖᐰᙠ⚪஺⌱⚪ᵨ2B!"⌱⚪Ḅᫀᵨ%⁐'(Ḅ)ᡈ'ᑏᙠ“⚪”./01஺2,2ᵨ%⁐'(Ḅ)ᡈ'ᙠ“⚪”ᐜᑏ456ὃ78஺3.9ᢝᓱ☢=>?⌕ᢚB?⌕CẚஹCFᙠ₝Hஹ⚪ᔁ⚪Iᦔ஺Kஹ⌱⚪Lᐳ10N⚪ON⚪3ᑖᐳ30ᑖP1.QᵬஹSஹTஹUVW⌱KWXYZ[ᜧ]^_`abcd_efḄgᙳᡂjkl86.5ᑖmnᑖolSᓫᓰ1.5,SZ,2=2.6,ST2=3.5,S1=3.68,rstuvwX_xᔠ〉LPA.ᵬB.SC.TD.U2.|}~lᙠᨬↈḄᩞᧇᐸᳮl0.00000000034m,ᦪᵨᦪ⊤Ḅl
A.3.4x109mB.0.34x109mC.3.4x10"%D.3.4xlOnm3.᝞ᡠlᵫᐰ.ḄNmᡂḄḄb¡.£NmḄ¤l1,ᑣḄ¤t¦¡§¡¨¡A.2B.33.4D.54.©ᐵ«xḄm¬2x+a-9=0Ḅlx=2,ᑣaḄÂtA.2B.3D.4D.55.K®¯ᦪy=2x-lḄ°?`a
A.±K°▲B.±³°▲±b°▲D.±V°▲6.N´eḄ᱆᱆ᝤᝤᐳ3W·ᡂK᣸¹᯿,eḄ᱆᱆ᝤᝤ.ÃḄᭆ᳛lLP1112A.-B.-—D.K63237.¼K½¾¿b¿À᝞Á1£NAOD=2P°,ᑣNBOCḄᜧNtLP0----------------AA.140°B.160°:170°D.150°

18.ᨵᳮᦪḄtÈᑣᦪKÉl
A.klÈB.ÊËᨵKlÈC.KlᦪKlÌᦪD.Ít.Îᦪ9.Ïᑡ᪗ÒÓÔÕlÖ×ØÙḄlLP10.᝞ᙊÛÙÜ᫑ḄÞßAB=12ÜàC£>=4ᑣÜ᫑ḄáßtL
A.6.5B.9C.13D.15³ஹâ⚪Lãᜧ⚪ᐳ6N⚪ON⚪3ᑖᐳ18ᑖP11.᝞ABláßt2Ḅ஺OḄä¼A8åḼäABᢚBç`aᙊèO,éClᢚBêḄWëKìéíîïðñBCò஺O«éD,éElCDḄéíîAC,AD,EO.ᑣÏᑡóজNACB=120஺ঝ4ACDlôõb¿ÙঞEOḄᨬNÂt1,ᐸḄl.L2¼ᫀḄö8ᙠ÷øP12.ᙠg☢¾¿ᙶ᪗úḄ±K°▲ᑁõñt1ḄmÙABCDḄõᙳgü«ᙶ᪗ÖAéḄᙶ᪗ta,a
.᝞,£ýøy=3x>0
þÿ
ḄᨵᑣaḄ.13.᝞ABCAB=AC=5,BC=8,ABCBC
ᔣmᓫ!ᑮDEF,⚔A,B,Cᑖ%&D,E,F'()*A,D,E+⚔Ḅ,-.Ὺ,-0AE+ῪᑣmḄ.

2A14.1-2,-1,1,22ᦪ4567ᦪ89:+ᜧ<-4=<2Ḅᭆ᳛.15.᝞+@ABCD᪛ḄFG=HᵨJ+2mḄKLMABNᐹPKLQKLஹ᪛Ḅ⚔SḄTUាWXᙠᙢ☢Ḅ\].^_KL&`]ab8a6m,&᪛8a15m,ᑣ᪛ḄFG+16.ᨵ]cdᙢᙳᒴḄgUh☢ᑖ%⊤ᨵ1ᑮ6Ḅᦪjklmn7op7oqr☢Ḅᦪ8sᑣᐸu=<6Ḅᭆ᳛.,ஹvw⚪yᐳ8⚪ᐳ72ᑖ{17.8ᑖ{᝞ᙠᵯᩚCDrḄCᜐCEஹCFᵯᩚCEuᙢ☢ᡠᡂḄ-NCED=60஺ᙠbᵯᩚ6ḄBᜐF+1.5ḄA-AB,ᙠAᜐA!ᵯᩚrCᜐḄ-+30஺CEḄJyᶇ=ᦪ]ὃᦪ6=1.41,x3
.18.8ᑖ{᝞CẆᑴ@5ᘤ¢£5ᘤ¢ᵫ5¥ஹ¦§u¨S©ªᘤ,ᑖ«ᡂ¬¥®L0¯=25Ḅ¦§AB=3C=60”?,¨S©ªᘤ8=35ᓽAE||®L²5ᘤ¢³ª_ZBAF=45஺,ZABC=75஺,ZBCD=60°,¨S©ªᘤ⁚஺ᑮᙢ☢®LḄab.yᶇ᪷·{

319.(8ᑖ)ᙠ஺O¹AB&¹CD8<G,OA_LCD<E,ºBª஺OḄᑗBFCDḄ¼J<(I)᝞জ)NF=50஺NBGFḄᜧ=¾(II)᝞ঝÀÁBD,AC,)NF=36஺AC஻BF,NBDGḄᜧ=.জঝ20.(8ᑖ)vÂ.Ã------3>2x-l,pÅvᙠᦪÆr⊤ÇÈᩭ.2-4-3-2-10123421.8ᑖ{ÊË2-i+20160-3tan30°+|-Gl14x222.(10ᑖ)v
Ì:---------1---5----------------=1x+2x—4x—223.(12ᑖ)]ÎÏᱏOACB,£ÏᱏÑᙠ☢®-ᙶ᪗ÔA(11,0),B(0,6),P+BCrḄP(PÂ&BஹCÖᔠ)غOஹPᢚÚ£Ïᱏ!BuᢚÛOP.ÜBP=t.(I)᝞জ²NBOP=30஺_PḄᙶ᪗(H)᝞ঝغPÝoᢚÚÏᱏQCXᙠ®PBr!CuᢚÛPQ,)AQ=m,ÞᵨßᨵtḄÃU⊤Çm(ni)ᙠ(H)Ḅᩩáâ²cាWXᙠOAr_PḄᙶ᪗(®ÁᑏÈᓽä).24.᝞ᙠABCAB=BC,CD_LAB<D,CD=BD.BEᑖNABC,HBCḄ.ÀÁDH,BE<G.ÀÁCG.(1)åAADCæFDB(2)åCE=-BF2(3)ᑨèECGḄépåHêḄë.

4cὃwᫀ]ஹ⌱î⚪yᐳ10=⚪ï=⚪3ᑖᐳ30ᑖ{1ஹAூ᪆௃᪷
ðḄᭆñòóvwᓽä.ூ௃ᵫ⚪käᵬḄ
ðᨬ=ᑣ(£⌱îᵬ.ᦑwᫀ+A.ூø௃ú⚪ὃû@
ðv⚪Ḅᐵýþÿ
Ḅ⚪.2ஹCூ᪆௃⚪ᑖ᪆᪷ᦪḄᭆᵨᦪᦪ⊤axio"Ḅ!"ᡠ$1.ninnii34ᵨᦪ⊤3.4Xᦑ⌱C.ὃ(ᦪ3ஹCூ᪆௃᪷)*+,-ᨬ/01ᐳᨵ2456"7ᔠ$0"$,-ᐳᨵ456"9*+:)*+;<0=>"ᡠ$?@A6ᐳᵫ0=>C4D6Eᡂ"G*+ᨵ34D"ᡠ$=☢Cᐳᨵ34D6"Iᔠ9*+:)*+ḄJ0☢CKᨵᨬ)Lᨵ4D6"ᦑ?@A6ᵫ44D6Eᡂ"ᐸ6N<4.

5ᦑ⌱c.ூ௃┯ᑖ᪆᧕⚪ᜫᑖḄ.4ஹDூ"᪆௃■:%2x+a-9=0Ḅ"'x=2,.2x2+a-9=0,"(a=Lᦑ⌱D.5ஹBூ"᪆௃ᵫ*+,ᦪk=2>0,b=—1<(),.(,ᦪ/01ஹஹ23▲ᡠ6708*3▲ூ9"௃"k=2>0,...,ᦪ31:01ஹ3▲;<•.•b=—1<(),,ᦪ=y>?@y>AB>*,ᦪ01ஹஹ23▲708*3▲ᦑ⌱Bூ௃C⚪ὃE1+,ᦪḄឋG⌕IJ1+,ᦪḄkஹbK,ᦪ3LMḄNO6ஹDூ"᪆௃P⚪"᪆QRSTA,᱆᱆T5,ᝤᝤTC,ᑣᡠᨵḄ.Yឋ'(ABC),(ACS),(R4C),(5CA),(CA5),(CR4),42...ZḄ᱆᱆ᝤᝤ[\Ḅᭆ᳛'-=ᦑ⌱D.637ஹBூ"᪆௃P⚪ᑖ᪆᪷bNAOD=20஺.(ZAOC=70°,᪷b⚪d.(ZBOC=ZAOB+ZAOC=90°+70°=160°.ὃefḄgh8ஹDூ"᪆௃"iT[jᦪḄklᨵᳮᦪḄnToᦑ⌱D.AஹC7ᐰ☢.Bஹ7rs.9ஹDூ"᪆௃

6᪷PQR+STUQR+ḄᭆV.ூX௃AஹZnoQRPpqrᔠ]ᑨiTUQR+<⌕lmQRTU"+st180uqSv+rᔠ.10ஹAூ᪆௃⚪ᑖ᪆᪷ᚖxᳮḄz{"|ᙊḄᙊUᙠCDᡠᙠḄ0"ᙊU

7D᝞+1,OA:OB,OF_LAB.®1ᵫ⚪ABoḼ°ABᢚp"D±²³ᙊUO.*.OF=OA=-OB2.,.ZAOF=ZBOF=60°:.ZAOB=120°...NACB=120஺µ¶ᡠQᙊᕜ1·¸ND=NAOB=60஺µ¶ᡠQḄᙊᕜ1<ᙊU1Ḅ¸:.ZACD=180°-ZACB=60°/.ACD1<60஺Ḅ1

8XVOF±AB.,.F-1ᡠ$"ঞZD70ᡠÀজঝD"ঞZD.ᦑdᫀ<জঝ.ூ(^௃ὃ`aᙊᕜ1ᳮᙠᙊᡈᙊT"¶ᡈ¶ᡠQḄᙊᕜ1·";Â?ᩩ¶ᡠQḄᙊU1Ḅ.z{ᙊµᡈx¸ᡠQḄᙊᕜ1<1"90஺Ḅᙊᕜ1ᡠQḄ°

9_⚪ὃ`Ḅ<ÐÑÒÓᦪ+Ú0(Ḅᙶ᪗ᱯ("ᐵk

101-2-122-4-22ᵫ⊤.uᐳᨵ12wx.Yyzᐸ|}Tᜧ@-4R@2Ḅᨵ6wyz*}Tᜧ@-4R@2Ḅᭆ᳛T—122ᦑᫀT—.2ூ௃C⚪ὃEḄ'ᵨᑡ⊤ᡈ᪛ᭆ᳛.ᑡ⊤.677⍡Ḅᑡᡠᨵ.YḄyz〉ᔠ@kᡂḄ;᪛〉ᔠkᡈk6ᡂḄ;ᵨᑮḄuTᭆ᳛=ᡠᦪ=ᦪ.15ஹ7ூ᪆௃Q᪛ḄfTxm,ᵫ[.(==¡"(x=7,ᡠ6᪛ḄfT7m26216ஹ—18ூ᪆௃ᑡ¢ᡠᨵ£kl¤¥ᔣḄ1☢ḄᦪnR@6ḄᓰḄ¨©ᓽ..ூ௃"ᑡ⊤((1,6)°2,6²°3,6²°4,6²°5,6²°6,6²(1,5)°2,5²°3,5²°4,5²°5,5²°6,5²(1,4)°2,4²°3,4²°4,4²°5.4²°6,4²(1,3)°2.3²°3,3²°4,3²°5,3²°6,3²(1,2)°2,2²°3,2²°4,2²°5,2²°6,2²(1,1)(2,1)(3,1)(4,1)(5,1)(6,1)kl¤¥ᔣḄ1☢ḄᦪnR@6Ḅᨵ10wᑣᐸnR@6Ḅᭆ᳛'?=3618ᦑᫀT—.1Oூ௃·⚪ὃE¸ᑡ⊤=᪛ᑡ⊤.677⍡Ḅᑡᡠᨵ.YḄyz〉ᔠ@kᡂḄ•᪛〉ᵨ@kᡈk6ᡂḄ•"⚪º⌕»d'¼½¾¿'7¼½¾¿•ᵨᑮḄuTᭆ᳛=ᡠᦪ=ᦪ.ஹ"⚪°ᐳ8⚪ᐳ72ᑖ²

1117ஹ5.7À.ூ᪆௃P⚪ᑖ᪆ᵫ⚪dAÁAH±CD@H.ᙠRtAACH|.CH,ÃÄCD=CH+HD=CH+AB,ÅᙠRtACED|CEḄÆ.P⚪"᪆"᝞AÁAH_LCD,ᚖÉTH,ᵫ⚪d.u2ÊËABDHTÌËZCAH=30°,.,.AB=DH=1.5,BD=AH=6.ᙠRtAACH|CH=AHtanNCAH=6tan30°=6xJ=,3DH=L5,.,•CD=2>/3+1.5.CD_2ᾙ1.5ᙠRtACDE|VZCED=60°,ACE=in60°=^~'°À²•sTÎÏCEḄÆÐT5.7À.ὃ1."ÑeeËḄÒᵨ°ÓeÔeÕ⚪²;2.┦ee,ᦪ:×;3.ᱯÙeḄe,ᦪÚ;4.ÌËḄᑨ:nឋG.18ஹ300+20
cm.ூ᪆௃ÁBG_LCD,ᚖÉTG,BH±AF,ᚖÉTH,RtACBG,ᑖÜCGnBHḄÆ᪷bDᑮLḄÝÞ=+AE_CD-CG
"ᓽ..ூ௃᝞ÁBG_LCD,ᚖÉTG,BH±AF,ᚖÉTH,

12ᙠRtACBG,ZBCD=60°,BC=60cm,CG=BCcos60°=30,ᙠ÷T"NBAF=45஺"AB=60cm,:.B//=/Wsin45°=30V2,"DᑮLḄøù=BH+AE-(CD-CG)=30ú+25-5=(30ü+20)cm.ூ(^௃_⚪ὃ`11"⚪Ḅᐵk<᪀⌼Å〉
ᑭᵨ┦ᦪḄᐵ.19ஹ(I)65°(II)72°ூ᪆௃(I)᝞জ!OB,ᐜᑭᵨᑗḄឋ%&NOBF=90஺OAJ_CD,ᡠ)NOED=90஺ᑭᵨ*+,ᑁ./01NAOB=130஺ᯠ3᪷56Ὺ,ឋ%.,ᑁ.01N1=NA=25஺&ᑮN2=65஺ᨬ3ᑭᵨ,ᑁ.ᳮ01NBGFḄ;ᦪ<(II)᝞ঝ!OB,BOḄ>?@ACAH,ᑭᵨᑗḄឋ%&OB_LBF,BᑭᵨAC஻BF&ᑮBHJ_AC,C(I)DE/&ᑮNAOB=144஺&ᑮNOBA=NOAB=18஺!Ḽ01NOAH=54஺ᯠ3᪷5ᙊᕜᳮ&ᑮZBDGḄ;ᦪ.ூI௃J(I)᝞জ!OB,•.,BFK஺஺Ḅᑗ.".OB±BF,ZOBF=90°,VOA±CD,.IZOED=90°,:.ZAOB=180°-ZF=180°-50°=130°,OA=OB,.*.Z1=ZA=-(180°-130°)=25°,2AZ2=90°-Zl=65°,

13ZBGF=180°-N2-ZF=180°-65°-50°=65°(ID᝞ঝ!OB,BOḄ>?@ACAH,•BFK஺஺ḄᑗAC஻BF,.".BH±AC,C(I)DE/&ᑮNAOBᑮ80஺-ZF=180°-36°=144°,VOA=OB,.".ZOBA=ZOAB=-(180°-144°)=18°,2,:ZAOB=ZOHA+ZOAH,ZOAH=144°-90°=54°,MNBAC=NOAH+NOAB=540+18°=72°,.".ZBDG=ZBAC=72°.জঝூNO௃P⚪ὃSTᑗḄឋ%JᙊḄᑗᚖVAWXᑗNḄYZ.[\ᙊḄᑗ]XᑗNḄYZ᪀⌼ᳮ&ᚖVᐵ`.aὃSTᙊᕜᳮ.20ஹb᪆ூ᪆௃᪷5cᐗcef6ghPijJkᑖmஹknoஹp⚗ஹᔠstu⚗ஹ`ᦪᓄK1/&w.ᙠᦪyz⊤|ᩭᓽ/.ூ௃Jkᑖm&3x+l-6>4x—2,p⚗&J3x—4x>—2+5,ᔠstu⚗&cx>3,`ᦪᓄK1,&xV—3,

147xßḄ"àᙠᦪ>⊤á᝞â:-4-3-2-101234ூ௃C⚪ὃE"1ᐗ1+7xßᙠᦪ>⊤á7xßḄ"à"⚪ᐵåᙠ@æhçè.21ஹ22ூ"᪆௃ß81⚗ᑭᵨAᢣᦪìᑣgh8*⚗ᑭᵨoᢣᦪíᑣgh8⚗ᑭᵨᱯÙeḄe,ᦪÚᓄïᨬñ1⚗ᑭᵨòKÚḄóᦪd×ᓄïᓽ.(ᑮyz;ூ9"௃ß=ô+1-3x—+&23=-+1-V3+A^2=.2ூ௃C⚪ὃE¾ᦪḄöᔠæh.C⚪÷f7ᜧ»d"øCù⚪úḄᐵå'IûA᦮ᦪᢣᦪýஹoᢣᦪìஹᱯÙeḄe,ᦪÚஹòKÚxὃḄæh.22ஹx=lூ"᪆௃%kÊþÿ(x+2)(x-2)
ᓄ᦮᦮ᓽ.ூ௃(x+2)(x-2)%—2+4x—2(x+2)=?—4,᦮ᳮ3%+2=0!᳝=1,#=2,%&2=2'(᪷*+ᡠ-.Ḅ᪷'x=l.ூ01௃2⚪ὃ56ᑖᑖḄᐵ9'ᑖ:Ḅᨬ<=ᑖ:ᓄ᦮ᯠ?@A⌕

15.23ஹEIGNPḄᙶ᪗KE21G.1119EIIGm=—---t+60/3¤k.2•••NPḄᙶ᪗K2>/3>1
.H
VAOBT,AQCPᑖᵫOBPஹQCPᢚ&ᑮḄ/.OBT^AGBP,QCT^AQCP.AZOPB^ZOPB,ZQPCr=ZQPC.,:NOPB'+NOPB+NQPC'+NQPC=180°,:.ZOPB+ZQPC=90°.VZBOP+ZOPB=90°,NBOP=NCPQ.rOBBPAA¥•.•/OBP=NC=90஺/.OBP^APCQ..ᵫ⚪¦BP=t,AQ=m,BC=11,AC=1,ᑣPC=U—t,CQ=l-m.c--=---.m=—f——t+60

16•NPCE+NEPC=90஺.VNPC'E+NQC'A=90஺ANEPC'=NQC'A.[PEPCAAAPCT^ACQA.:.——=^—ACCQVPCr=PC=H-t,PE=OB=LAQ=m,CrQ=CQ=l-m,•AC=JC'Q2-AQ2=,36-12m611-t>^6-12m6-m=ᓽ9=\166,᪗^=7ᓽ"I*'1l-t6-mt6-m1113b-22/+36=஺.…=1^d5ed02Wm--t--I+6_ᐭaᓄ<,66...0pḄᙶ᪗1)ᡈ(ii+ᕣ1).3324ஹ(1)j᪆l(2)j᪆l(3)j᪆.ூ᪆௃1
✌ᐜ᪷oAB=BC,BEpᑖNABC,qUBEJ_AC,CE=AE,rsqJNACD=NDBF,tᔠCD=BD,ᓽvwxyADC^AFDB(2)ᵫyADCgZkFDBqI]AC=BF,tᔠCE=AE,ᓽvwxt{l(3)ᵫ0H'BCḄ|0ᑮGHᚖpᑖBC,ᓽGC=GB,ᵫNDBF=NGBC=NGCB=NECF,NECO=45஺,tᔠBE_LAC,ᓽᑨxAECGḄ.ூ௃(1)VAB=BC,BEpᑖNABC/.BE±ACVCD±AB.\ZACD=ZABEEḄGXVCD=BD

17/.ADC^AFDB(2)VAB=BC,BE«ᑖNABC/.AE=CE1nI¬!JCE=-AC2ᵫ(1)JADC^AFDB/.AC=BF1/.CE=-BF2(3)ECGK6ῪV,ᳮᵫ᝞®JᵫNHBCḄN&GHᚖV«ᑖBC,ᨵCG=BG,¬(JNEGC=2NCBG=NABC=45஺XVBE1AC,ᦑ4ECGK6ῪV,.ூNO௃P⚪±⌕ὃSᐰ6,ḄᑨCឋ%6Ὺ,ḄᑨCឋ%P⚪Ḅᐵµ¶·¸¹ᐰ6,Ḅᑨ,⚪»;f¼ᜧ.