广西省南宁市名校2022-2023学年数学八上期末调研试题含解析

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2022-2023
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5'(+#⚪ḄᐵJ.3ஹAூ#᪆௃K⚪#᪆AE஻DF,:.ZA=ZD,VAE=DF,,⌕MEACgZkFDB,N◤⌕AC=BD,.•.PAB=CDQAB+BC=BC+CD,ᓽAC=BD,ᦑ⌱A.4ஹBூ#᪆௃᪷⚪ROᑖ.STUOB,ᑭᵨ'XᑖYZḄᑮ'\Ḅ]^_`3S.ABC=S-+S.8B+SM=5(A8+8C+AC)abᑖ᪆ᓽ•0cூ"#௃#ᵫ⚪ROᑖ.SOOAC,OE_LA8,O/_L8C,TUOB᝞eᡠg:,஺+NC4BஹNACB'XᑖYḄj.OE=OD,OD=OF,,஺ᑮABḄ]^/3,ᓽ0E=3,A48CḄ☢l/6,Sz)=67,A/.IoDC—SA()o+ASCCc/Oolj+AS/ICA/COC—2—'(AB+BC+ACA5+BC+AC=6+m=4,ᓽAABCḄᕜ/4.2ᦑ⌱B.ூ<௃=⚪ὃ>'XᑖYḄឋBpqrstᑭᵨ'XᑖYZḄᑮ'\Ḅ]^_`+#⚪ḄᐵJ.5ஹCூᑖ᪆௃ᑖ.uAஹ5/ᙊwuA5Ḅ/xyzᙊ{x|Ḅjᓽ/ᡠ}Ḅ

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8yzḄ,{|}>ᩩdḄ~ᐵbᣚ,᪷=>rdᨬoᡈᚖdᨬo,>ᩩdr?ᓄ0ᩩᩭ.Eஹ⚪⚪3ᑖᐳ24ᑖ11ஹ-2,-4.ூ᪆௃;⚪ᑖ᪆*ᐵSyḄḄᙶ᪗Ḅᱯ*ᙶ᪗ᙶ᪗ᦪ.ᵫ⚪GQa=—2b=—4•ὃ*ᐵSyḄḄᙶ᪗Ḅᱯ.12ஹ26ூᑖ᪆௃OPi,OP2,ᑭᵨḄឋQmOP=OPi=OP2=2,OP1P2ῪᑣPMNḄᕜpᓄᡂPiPḄpᓽA.2ூ௃*᝞OP”OP2,VOP=2,᪷=ḄឋAQ*OP=OP1=OP2=2,PN=PN,PM=P1M,2ZBOP=ZBOP,NAOP=NAOP1,2VZAOB=45°,...zPiOP2=9O஺ᓽaoPiPῪ2VPN=PN,PM=PIM,2/.PMNḄᕜp=PiM+PN+MN=PIP2,2VPiP=V2OPI=2A/2-2ᦑ¥ᫀ*2.Plூ+௃,⚪ὃ/ḄឋஹῪḄᑨC?ឋ§¨⚪Ḅᐵ5ᮣªaᵨḄឋ«ᕜpᓄᡂdḄpq.

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10ூ<௃=⚪ὃ>?#ᑖ¦(1)#ᑖ¦Ḅ¨=©ª+“¤ᓄ©ª”ᑖ¦¤ᓄ/᦮¦}#.(2)#ᑖ¦%E¯⌕°᪷.17ஹ3b2aூᑖ᪆௃⌮ᵨ±Ḅ²³ᑣu´¢µᦪ±Ḅ²³ᑣ¡·(ᫀ.ூ"#௃#•.•2"'=஺32"=b¸஻/º᦮ᦪ:.ὶ'=b,..23m+10n=(2m)3x(25")2=a3b2•ᦑᫀ/a3b2.ூ<௃»⚪~⌕ὃ>?¼Ḅ²³u´¢µᦪ½Ḅ²³º¾rs³ᑣ+#⚪ᐵJ.18ஹ1ூᑖ᪆௃ᐜᓄÀᯠÁ^Ã+º᦮ᦪᑮ⚪Ḅᫀ.ூ"#௃#,54”=J9x6஻=3y/6ii»•••?+º᦮ᦪ.•.In/ÅᐰXᦪ•t•nḄᨬ+1.ᦑᫀ/1.ூ<௃=⚪~⌕ὃ>Ḅ+,Ç᪷ḄEpqrs,Ç᪷ḄE+#⚪ḄᐵJ.ஹ#⚪(ᐳ66ᑖ)19ஹ(1)40Ê(2)ு=2஻(஻+1).ூᑖ᪆௃(1)᪷ÌᡂeᫀḄᙢẈᙽᦪÑÒᓽᑮᫀÊফ᪷4=2x(lx2),12=2x(2x3),24=2x(3x4),40=2x(4x5),...aÔᑮÕ{஻ÖḄ×ᦪ⊤Ù.ூ"#௃(1)1•%ÇÌᡂḄeᫀᐳᵨᙢẈ4ᙽÊ2ÇÌᡂḄeᫀᐳᵨᙢẈ

114+2x4=12Ê3ÇÌᡂḄeᫀᐳᵨᙢẈ4+2*4+2x6=24,….••4ÇÌᡂḄeᫀᐳᵨᙢẈ4+2x4+2x6+2x8=40.ᦑᫀ+40Ê(2)1ÇÌᡂ᝞e2ᡠgḄeᫀᐳᵨ4ᙽᙢẈᓽ4=2*(lx2),2ÇÌᡂ᝞e3ᡠgḄeᫀᐳᵨ12ᙽᙢẈᓽ12=2x(2*3),3ÇÌᡂ᝞e4ᡠgḄeᫀᐳᵨ24ᙽᙢẈᓽ24=2x(3x4),4ÇÌᡂḄeᫀᐳᵨ40ᙽᙢẈᓽ40=2x(4x5),஻ÇÌᡂḄeᫀᐳᵨᙢẈy=2஻(஻+1),...Ú{஻ÖḄ×ᦪ⊤Ù/y=2஻(஻+l).ூ<௃=⚪~⌕ὃ>ÛÜeᫀ{ᦪḄÑÒÝᑮeᫀ{ᦪḄÑÒ+#⚪ḄᐵJ.20ஹ(1)Þ#᪆Ê(2)70°.ூᑖ᪆௃(1)ᵫC+YABḄ5ᑮAC=BC,᪷'XᑖYḄEᑮZACD=ZBCE.ᑣß'(ᐰ`Ê(2)᪷X'ḄEᑮNACD=NDCE=NBCE=60஺᪷ᐰ`'(ḄឋBᑮNE=ND=50஺᪷'(Ḅᑁ'ᓽᑮáâ.ூ"#௃(1)ßã•••(:+YABḄ5!.AC=BC•.•C஺XᑖNACE,CE"ᑖNBCD,:.NACD=NECD,NBCE=NECD:.ZACD=ZBCE,ᙠäACDA8CE5AC=BC

12:.ZACD=ZDCE=ZBCE=60°,:.N8=180°-NBCE-NE=70°.ூ+௃,⚪ὃ/ᐰḄᑨC?ឋஹᑁ?Cᳮ§¨⚪Ḅᐵ5ÍBÎÏᐰᐰḄᩩJ.21ஹÐ᪆.ூᑖ᪆௃ᐜᵫ
ᑖḄឋQmCD=CE,ᵫSASAADCgBEC,QmV@ᓽA.ூ௃*YOMNAOBḄ
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13È⌱x=0hÉF=---=1w0+1È⌱x=2hÉF=---=—.2+13ூ+௃á⚪ὃ/ḄᑖFḄᓄÛ8Ê⚪?ᑖFᨵGHḄᩩJ67ᑖFḄᔜ'a½9ᑣ?ᑖFᨵGHḄᩩJá⚪Ḅᐵ5.23ஹ(1)Ð᪆w(2)4(4,3)ஹ9(2,0)ஹC'(l,2)Ê(3)AA'8'CḄ☢ã*ூᑖ᪆௃(1)᪷=äåæ᪀ÏmVᯠ¸ç1ᓽAw(2)᪷=(1)ÓḄᑏmᙶ᪗ᓽAw(3)ᵫ(1)A§M'B'C'é0'@p3ḄÍᒹë=áᵨìÍ☢ãíîïᕜḄ☢ãᓽA.ூ௃(1)᝞ᡠ#*(2)ᵫ(1)AQA',8',C'Ḅᙶ᪗*A'(4,3),B'(2,0),C'(l,2)Ê1117(3)AA'6'C'Ḅ☢ã=3x3—lx3x——lx2x002x3x-=—22227AA'B'C'Ḅ☢ã*2ூ+௃,⚪ð⌕ὃ/·Ḅñ9òVᵨ\]67ᐵ9⚪ᐵ5.24ஹ1ூᑖ᪆௃ᐜᵫX=+ô,y=õ-ô8mxy?x2+y2ḄÊ}x3y+xy3ᑖ²F¸Þᐭö½ᓽA.ூ௃,:x=&Ry=6-+,..xy=(G+ô)(6-ᦈ)=3-2=1,x2+y2=(6+0ø+(ù0⊈1=3+2ᢣ+2+3-276+2=1,:.x3y+xy3=xy(x2+y2)=l.

14ூ௃⚪ὃ"#$%᪷'Ḅ)ᔠ+,-./'ᑖ1Ḅ2ᵨ4567ᔜ9:;1<⚪Ḅᐵ>.25ஹ(1)A;ᳮᵫD1᪆F(2)D1᪆.ூᑖ᪆௃(1)᪷G“IJᦪ”ḄMNO⌕Q224ᑖ1/ᦪRSᔲUV4WXIḄY᦮ᦪ[Jᓽ]F(2)ᵫV";“IJᦪ”]_M=a(a+l)3+2)(a+3),ᯠcO⌕QM+1ᑖ1/'deWf⚗'Ḅhᐰjkᓽ]lmn/+3”RpeW᦮q.ூr1௃1s(1)F224=1x4x7x8,A;4WXIY᦮ᦪ[J.•.224A;“IJᦪ”F(2)vws;“IJᦪ”]_M=a(a+l)(஻+2)(a+3),ᑣM+1-a(a+1)(஺+2)(஺+3)+1=(/+3஺)(6+34+2)+1=+3a+2(஺e+3a)+1=({+3a+1)•ᓽM+1;f⚗'/+3஺+1Ḅjk.ூ௃⚪;|MN}~⚪⌕ὃ"#“IJᦪ”Ḅᳮ1f⚗'Ḅ/'ᑖ1Yᳮ1⚪mஹ4567ᑖ1/'Ḅk;1⚪Ḅᐵ>.26ஹ(1)(15,1200)(2)y=240x-1200(5<%<7.5).(3)3.7hூᑖ᪆௃(1)᪷G9ᩩᦪ]-ᑏᵬஹᙢ[ḄF(2)᪷G⚪m]-CḄᙶ᪗ᵫ]-ᑮBḄᙶ᪗]-ᑮ¡BCᡠ⊤¤Ḅy¥x[Ḅᦪᐵ¦'-.§¨©xḄª«.(3)®e¯᠒±®$¯²±³⍗µḄ¶9²±Ḅ·¸ᓽ]ᵨµḄ¹«.ூr1௃(1)ᵫ]9ᵬஹᙢ[Ḅd1200kmFBd±¼5½µ³⍗F•••᠒±Ḅ·¸²±·¸Ḅds1200+5=240km/h

15¶•.•᠒±Ḅ·¸;²±·¸ḄL,2$᠒±Ḅ·¸ds80km/h,²±Ḅ·¸ds160km/h,.•.᠒±¾ᐳÀÁs12004-80=15hAD(15,1200)(2)ᵫ⚪]9C;²±ÂᑮÃᙢ.♦.CḄÄᙶ᪗;s12004-160=7.5,Åᙶ᪗;1200-80x7.5=600,ᓽCḄᙶ᪗;(7.5,600)_¡BC2Ḅᦪ1᪆'dy=kx+b,":B(5,0),C(7.5,600).j7.5Z+b=600fk=240''[5k+b=0'[Ç=—1200’ᓽ¡BCᡠ⊤¤Ḅᦪᐵ¦'dsy=240x-1200(5ᙠV᪷GÎḄᱯÐwᐸÒÓmN.