山东省济南市商河县2021-2022学年八年级下学期期末数学试题

《山东省济南市商河县2021-2022学年八年级下学期期末数学试题》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。

ḕᓭᖪ2021-2022ᦪ⚪▅ᔁ-ஹᓫ⌱⚪ᐳ12⚪ᐳ24ᑖᑖ1.2ᑖ
ᑡ,Ḅ.ூᫀ௃Aூ᪆௃ூ௃A.!"ᔠ⚪B.!#"##ᔠ⚪C.!##ᔠ⚪D.!##ᔠ⚪ᦑᫀ%A.&ᑖ᪆'᪷)*Ḅ+,⌲⚗ᑨ0ᓽ2஺2.2ᑖ
a>b,ᑣᑡ#567+ᡂ9Ḅ
A.a+l>b+3B.CL-2Vb-2C.;ுgD.—Q>—bூᫀ௃Cூ᪆௃ூ௃A.ᵫa>b,>a+l>b+l,?@┯BᦑC⌱⚗#ᔠ⚪;B.ᵫa>b,>a-2>b-2,?@┯BᦑC⌱⚗#ᔠ⚪C.ᵫa>b,>F>§?@IJᦑC⌱⚗ᔠ⚪D.ᵫa>b,>-a<-b,?@┯BᦑC⌱⚗#ᔠ⚪ᦑᫀ%C.ூᑖ᪆௃#56ḄKLឋNজ#56ḄPQRSTUᡈWXR7!ᦪᡈ6Z
#5;[ᔣ#@ঝ#56ḄPQRS^_ᡈ◀_R7!Iᦪ#5;[ᔣ#@ঞ#56ḄPQRS^_ᡈ◀_R7!bᦪ#5;[ᔣᦋ@)Cᑨ0ᓽ2.3.2ᑖ
ᑡdeQᑮgQḄ@hij6ᑖḄ
A.(x+1)(x-1)=x2-lB.x2-2x+l=x(x-2)+1

1C.a(x-y)=ax-ayD.x2+2x+l=(x+1)2ூᫀ௃Dூ᪆௃ூ௃Aஹ᦮6Ḅ^mᦑA┯BBஹno7!p⚗6qᓄᡂs!᦮6^tḄ6ᦑB┯BCஹ᦮6Ḅ^mᦑC┯BDஹj6ᑖᦑDIJᦑᫀ%D.ூᑖ᪆௃᪷)j6ᑖo7!p⚗6qᓄᡂs!᦮6^tḄ62>ᫀ.4.(2ᑖ)wᑖ6xᨵ,ᑣxḄz{}().A.%஺6B.%#0C.x—\D.%஺—6oூᫀ௃Dூ᪆௃ூ௃ᑖ6ᨵ,x+6/O,>x஺—6ᦑᫀ%D.ூᑖ᪆௃ᑭᵨᑖ6ᨵ,ḄᩩFᑡ#56x+6*xḄz{}ᓽ2஺5.(2ᑖ)P(2,1)x[ᔣᔣe3!ᓫy[ᔣᔣU2!ᓫᡠ>ḄḄᙶ᪗()A.(5,-1)B.(-1,-1)C.(-1,3)D.(5,3)ூᫀ௃Cூ᪆௃ூ௃P(2,1,)ᔣU2!ᓫᔣe3!ᓫ>ᑮP,2-3=-1,1+2=3,.P'(-1,3),ᦑ⌱C.6.(2ᑖ)᝞ᙠQABCDZB=60°,ᑣND=()

2A.60°B.120°C.140°D.30°ூᫀ௃Aூ᪆௃ூ௃QABCDQ,.\ZB=ZD,/B=60஺.\ZD=60°.ᦑᫀ%A.ூᑖ᪆௃ᑭᵨQḄឋN2>ᫀ஺7.2ᑖ
#56᠋ᨌḄᙠᦪU⊤IJḄ)B._______]-2-1012D.---------1—-2-1012ூᫀ௃B(2—x<1(J)ூ᪆௃ூ௃:(2%4-3>%4-6ঝ#56জ>x>l,#56ঝ>%>3,#56Ḅ%x>3,#56ḄᙠᦪU⊤᝞-=!1_2-1012Xᦑᫀ%Bூᑖ᪆௃ᐜ#56¢7!#56Ḅᑭᵨ£¤“Rᜧzᜧ”¨Ḅ©ᐳ«ᑖᨬ᪷)ᦪU⊤#56ḄḄ[m“ᜧᔣg®ᔣe¯5i°#5”ᓽ2ᑨ0>ᫀ.8.2ᑖ
±²³7ᓽ´1Ḅµ¶m-1m—1A.m+1B.m—1C.m—2D.-m—2

3ூᫀ௃B2ூ᪆௃ூ௃·2m—1_¹2º+]_(m—1)m—1-m—1-m—1ᦑᫀ%B.ூᑖ᪆௃᪷)Rᑖ½ᑖ6Wmᑖ½#@ᑖZ¾Wᐜ±²WmᯠᑭᵨÀᐰ[©6ᑖZᑖj6ÂᩭÄᑖᓽ2.9.2ᑖ
᝞OPᑖNMON,PA_LONiA,QÅÆOMḄ7!ÇwPA=4,ÈljPQḄᨬ®{%C.4D.4V3ூᫀ௃Cூ᪆௃ூ௃ÉPQ±OMiQ,ᑣCSPQᨬ®0Pᑖ/MON,PA±ON,PQ10M,PQ=PA=4,ᓽPQḄᨬ®{%4,ᦑᫀ%C.ூᑖ᪆௃ÉPQLOMiQ,ᑣCSPQᨬ®ᑭᵨÊᑖÆḄឋN2>ᫀ஺10.2ᑖ
#Ëᑨ+7!QQḄᩩF
A.PQᑖÌ

4B.7QÍ7Q¾5C.7Qξ5D.PQᑖ̾5ூᫀ௃Bூ᪆௃ᑖ᪆J᪷)QḄᑨ+জPQᑖÌḄQQঝPQᑖ̾5ḄQQঞPÊᑖ̾5ḄQQটÊÆоᑖḄQQঠ7QR¾5ḄQQᓽ2⌱ᫀ.ூ௃AஹPQᑖÌ2ᑨ+ÒQQᦑA#ᔠ⚪Bஹ7QÍ7Q¾5#Ëᑨ+ÒQQ"2Ë5ῪÔᦑBᔠ⚪Cஹ7Qξ52ᑨ+ÒQQᦑC#ᔠ⚪DஹPQᑖ̾52ᑨ+ÒQQᦑD#ᔠ⚪ᦑ⌱B.ÕÖJC⚪×⌕ὃÚÛÜQḄᑨ+ḄÝÞßà.iᑨ++ᳮ“7Qξ5ḄQQ.”âᵨS⌕ãäå“7”æ“7QÎÍ7Q¾5”ḄQ#7+Q.11.2ᑖ
᝞ᙠ44cB=90஺4/=20஺çABCèCᢥêS┐[ᔣìq>ᑮçEQC,CSDᙠABQUᑣìqÊḄᜧ®%A.20°B.40°C.70°D.50°ூᫀ௃Bூ᪆௃ூ௃:VZACB=90°,ZA=20°,.♦./B=90°-ZA=90°-20°=70°,,/çABCèCᢥêS┐[ᔣìq>ᑮçEDC,-,.BC=CD,.♦./B=/BDC=70°,

5ᙠçBCDZBCD=180°-2x70°=40°,..ìqÊ40஺.ᦑᫀ%B.ூᑖ᪆௃᪷)ìqḄឋN2>/B=NBDC=70஺ᑭᵨíÊḄᑁÊ*2>/BCD=180஺-2x70஺=40°஺12.2ᑖ
o7ïíÊð᝞ᵬòóᐸNACB=NDEC=90஺NA-45஺ZD=30°,õQAB=6,DC=7,oíÊðDCEèḼCêS┐ìq15஺>ᑮçDCEi᝞Õ
CSAB÷CD,øiO,ᑣÆùADḄúû%
A.3V2B.5C.4D.V31ூᫀ௃Bூ᪆௃ூ௃ᵫ⚪᧕ýNCAB=45஺NACD=30஺wìqÊû%15஺ᑣ/ÿ
0=30஺+15஺=45஺./.NAOC=180°-ZACO-ZCAO=90°.ᙠῪRsABCAB=6,ᑣAC=BC=3.ᳮ
AO=OC=3.ᙠRIAAODiOA=3,OD,=CDi-OC=4,ᵫᳮ
ADi=5.ᦑᫀ
B.ூᑖ᪆௃✌ᐜ᪷"#$%Ḅᱯ(ᑮ*ᐵ$Ḅ,ᦪ.᪷"/0$Ḅ,ᦪ123/ACOḄ,ᦪᑭᵨ#$6ᑁ$8ᳮ123NAOCḄ,ᦪᑨ:3AAOC;Ὺ<$#$6AAODi;<$#$6᪷"Ὺ<$#$6Ḅឋ>123AOஹOCḄ@,.ᙠ<$AAODiᑭᵨᳮ12ADiḄ@,.▅ᔁ$ஹ%&⚪ᐳ6⚪ᐳ6ᑖ

6ᑖ13.1ᑖAᑖBCD
m2—6m=.ூᫀ௃mm-6
B᪆EூB௃m2—6m=mm—6
ᦑᫀ
mm-6
.ூᑖ᪆௃FGH⚗DJKL⚗MᨵOCDm,POCDQᓽB.14.1ᑖASᑖDTḄU0,ᑣxḄU;________.X—1ூᫀ௃-1ூB᪆௃ூB௃B
•.•ᑖDU0,/%+1=01*0,\x=-l.ᦑᫀ
-1.ூᑖ᪆௃᪷"ᑖDUXḄᩩZ
ᑖ[0\ᑖ]^0,ᑡ3D[B`ᓽ3ᫀ.15.1ᑖA᝞bcd6AMNPḄeAMᙠcfe6ABCDEḄeABgᑣNPAE=ூB᪆௃ூB௃B

fe6ABCDEcfe6ZEAB=1x5—2
x180஺=108஺he6AMNPcd6ZPAM=90°,ZPAE=ZEAB-ZPAM=108°-90°=18°.ᦑᫀ
18஺.ூᑖ᪆௃ᑭᵨcfe6Ḅឋ>3/EABḄ,ᦪ.ᑭᵨ$Ḅi2/PAE=NEAB-NPAM=108°-90°=18°o16.1ᑖAS^Dm-2
x>lḄBj;x

7ூᫀ௃m<2ூB᪆௃ூB௃•••^Dm-2
x>lḄBj;xlḄBj;x8$oᑖrḄsBE=BC=AD=3,AB=CD=5,.ᑭᵨrtḄ8uAE=AB-BE=5-3=2஺18.1ᑖA᝞b(AḄᙶ᪗1,3
,(Bᙠxxgy^OABzxxᔣ|o}ᑮaECD,She6ABDCḄ☢15,ᑣ(CḄᙶ᪗

8ூᫀ௃6,3
ூB᪆௃ூB௃B
•••yOABzxxᔣ|o}ᑮECD,he6ABDC;ophe6.•.AC=BD,A8CḄᙶ᪗*♦.•he6ABDCḄ☢15,(AḄᙶ᪗1,3
,.*.3AC=15,•\AC=5,AC6,3
,ᦑᫀ
6,3
.ூᑖ᪆௃ᑭᵨophe6Ḅ☢OD3ACḄ@.᪷"(AḄᙶ᪗(CḄᙶ᪗஺▅ᔁ'ஹ()⚪ᐳ9⚪ᐳ75ᑖᑖ19.10ᑖA1
5ᑖAB^D-2,yḄBj⊤ᙠᦪxg᝞b
1IJ1I11I»-4-3-2-10123

9^zl>-1(T)ফB
2>[জ,3(%—1)-l,B^Dঝ
x<2,^DḄBj
T¦^DḄB§3Bjᙠᦪxg¨3Bjᓽ;(2)ᑭᵨ^DḄឋ>¦^DḄB§3Bjᙠᦪxg¨3Bjᓽ஺20.(10ᑖ)yªᑡᔜDᑖBCD
(1)(5ᑖ)4x2-16¯(2)(5ᑖ)2a2b-8ab+8b.ூᫀ௃(1)B
4/-16=4(--4)=4(x+2)(x-2)(2)B
2a2b-8ab+8b=2b(a2-4a+4)=2b(a—2)2ூB᪆௃ூᑖ᪆௃(1)ᐜPlOCD4,.ᑭᵨoduODCDᑖBᓽ¯(2)ᐜPlOCD2b,.ᑭᵨ´ᐰodODCDᑖBᓽ஺21.(10ᑖ)প(5ᑖ)12
£+¸¯(2)(5ᑖ)ᐜᓄ¹.U
(3—1)+⎋3ᐸx=2.5-1)x2-lூᫀ௃পB
¼D=½¾_%+2L(%+2)(%—2)1~x—2¿Àᓟx-x+l(x+l)(x—1)(2)B
¼D—1(%+i)2_1=’Äx=2żD=Ay=}ூB᪆௃ூᑖ᪆௃(1)ᑭᵨᑖDḄɧi2§ᑣBᓽ¯(2)ᐜᑭᵨᑖDḄÊᔠi2ᓄ¹.ËxḄUÌᐭ12ᓽ஺

1022.5ᑖABdÎ
3-ᗐ=1X—L2.—Xூᫀ௃¼dÎÐ
Ñ-Ò=1,x—zL—XdÎÓeÔx-2
,3-x-1
=x-2,B
x=3,ÕÖ
Äx=3Åx-2×¼dÎḄBx=3.ூB᪆௃ூᑖ᪆௃ᑖDdÎÐ6Qᑖ]0ᓄ᦮DdÎ3᦮DdÎḄBᑮxḄUØÕÖᓽᑮᑖDdÎḄB.23.5ᑖA᝞bhe6ABCD;ophe6EFᑖÙ;BCஹADgḄ(Z1=Z2.Ú
he6AECFophe6.ூᫀ௃ÚÛ
•..he6ABCD;ophe6.ZB=ZD,AB=CD,AD=CB,AD஻BC,ᙠ4ABE8^CDFNB=DAB=CD,Z1=42?.ABE^ACDFASA
,.*.BE=CD,AAD-DF=BC-BE,ᓽAF=EC,•••he6AECFophe6ூB᪆௃ூᑖ᪆௃✌ᐜ᪷"he6ABCD;ophe6NB=ND,AB=CD,AD=CB,AD஻BC,ᯠQ.ÚÛABE^^CDFBE=CD,ÝÞÚÛAF=EC,ßÞhe6AECFophe6.24.3ᑖAᙠo☢<$ᙶ᪗ABCḄàá᝞bᡠKãädåæ;e@1ãᓫà@,Ḅcd6A.

11(1)ËABCzxxdᔣᔣêo}5ãᓫà¨3o}QᑮḄAIBIG¯<íᑏ3(BiḄᙶ᪗¯(2)ËäABCîḼ(AðÅ┐/090°,¨3/0QᑮḄAB2c2¯<íᑏ3(BḄᙶ᪗¯2(3)õ3ABCᐵö¼(OᡂùúûḄA3B3C3,<íᑏ3BḄᙶ᪗.3ூB᪆௃ூᑖ᪆௃(1)᪷"o}Ḅᱯüý3(AஹBஹCḄúþ(.ÿ
ᑏ&Ḅᙶ᪗(2)᪷ḄឋAஹBஹCḄ
ᑏB2Ḅᙶ᪗(3)᪷!Ḅᱯ#AஹBஹCḄ
ᑏB3Ḅᙶ᪗ᓽ%஺25.(10ᑖ)2022-2ᨴ6012᝕4ᙠ620789:;<=3>2⌮@ABᐰ2ᔜᙢᣬG

12HIJK᝕4LMḄNO.PK᪥RᜓTUIᢇ4ᳫ6IXᵨ3000ᐗT[A\4ᳫ]^_6`Xaᵨ3000ᐗT[B\4ᳫT[ᦪcd6IXeH20_.fgA\4ᳫḄᓫijB\4ᳫᓫiḄ1.5k.(1)(5ᑖ)lB\4ᳫḄᓫijemᐗ;(2)(5ᑖ)]K᪥◤pTA,Bq\4ᳫᐳ200_stᵨuvw12000ᐗᑣA\4ᳫᨬeTUem_?ூ|ᫀ௃(1)>B\4ᳫḄᓫi%ᐗᑣA\4ᳫḄᓫijL5xᐗᑣ30003000L5x-I2஺>x=50,>=50jḄ᪷ᔠ▭;ᡠ=1.5%=75|>B\4ᳫḄᓫi50ᐗ.(2)>A\4ᳫTUm_ᑣB\4ᳫTUH(200-)_ᑣ75m+50(200-m)<12000,>m<80,|>A\4ᳫᨬeTU80_.ூ᪆௃ூᑖ᪆௃(1)B\4ᳫḄᓫi%ᐗᑣA\4ᳫḄᓫij1.5ᐗ᪷⚪ᑡ=ᗸI20,lᓽ%(2)A\4ᳫTUm_ᑣB\4ᳫTUH(200-m)_᪷⚪ᑡu75m+50(200-m)<12000,lᓽ%஺26.(10ᑖ)᝞ᙠAABCfgDᙠ¡ABḄ¢ᔣ¤¥¦wACḄF§¡GE¨NDACḄ©ᑖªE,¨BCªG,AE஻BC(1)(5ᑖ)l¬>AABCjῪ®¯°;

132
5ᑖ±]AE=8,AB=10,GC=2BG,l²ABCḄᕜ¥.ூ|ᫀ௃´1
¬µ>>AE஻BC,/.ZB=ZDAE,ZC=ZCAE.,.•AE©ᑖNDAC,.\ZDAE=ZCAE,.\ZB=ZC,*'.AABCjῪ®¯°.2
>YFjACḄ.•.AF=CF.ᙠAAFE¶ZkCFGVZC=ZCAE,AF=FC,NAFE=/GFC,AEF^ACFG,.AE=GC=8.VGC=2BG,BG=4,BC=12,²ABCḄᕜ¥=AB+AC+BC=10+10+12=32.ூ᪆௃ூᑖ᪆௃´1
✌ᐜ᪷©¹Ḅឋ¬ZB=ZDAE,NC=NCAE,ᯠ»¼ᔠ¯©ᑖḄ½%¬ZB=ZC,ᦑ¿%¬µ²ABCjῪ®¯°2
✌ᐜ¬µ²AEF0ZXCFG,ÀÁᑮCGḄ¥ᯠ»%lBCḄ¥ªj%l®¯°ABCḄᕜ¥஺27.12ᑖ±᝞1,²ABC¶²ADEᙳÄ®¯°DᙠBCĦCE.123´1±2ᑖ±ÅÆজNDCEḄÈᦪjঝ¡CAஹCEஹCDÊËḄᦪcᐵÍj2
5ᑖ±ÎÏ᝞2,²ABC¶²ADEᙳῪ¯®¯°NBAC=/DAE=90஺DᙠBCĦ

14CE.ÐᑨÒNDCEḄÈᦪÓ¡CAஹCEஹCDÊËḄᦪcᐵÍ
Ôµᳮᵫ.(3)(5ᑖ)×Øᵨ>᝞3,²ABC¶²ADEᙳῪ¯®¯°NBAC=NDAE=90஺DᙠBCḄ¤¥¦CE,]AB=AC=VLCD=1,l¡DEḄ¥.ூ|ᫀ௃(1)120°CA=CE+CD(2)>ÎÏNDCE=90஺V2CA=CD+CE.ᳮᵫ>ABC¶²ADEᙳῪ¯®¯°ZBAC=ZDAE=90°,AAB=AC,AD=AE,AZBAC-ZDAC=ZDAE-ZDAC,ᓽNBAD=ZCAE.BADÙ²CAE(SAS)..BD=CE,ZB=ZACE.VZB=ZACB=(180°-ZBAC)=45°,AZACE=45°,AZDCE=ZACB+ZACE=90°...•ᙠῪ¯®¯°ABCCB=V2CA,CB=CD+DB=CD+CE,AV2CA=CD+CE.(3)>ᵨABC¶²ADEᙳῪ¯®¯°NBAC=NDAE=90஺DᙠBCḄ¤¥¦AB=AC=VLCD=1,.BC=y]AB2+AC2=2,AD=AE,.BD=BC+CD=3,VZBAC+ZCAD=ZDAE+ZCAD,AZBAD=ZCAE,²ABD0²ACE(SAS),.\CE=BD=3,ZABD=ZACE,VZB=ZACB=(180°-ZBAC)=45஺NACE=45஺AZDCE=ZACB+ZACE=90஺:.DE=y/CD2+CE2=Vl2+32=V10.ூ᪆௃ூ|]>(1)জ:•²ABC¶²ADEᙳÄ®¯°.•./BAC=/DAE=60஺AB=AC,AD=AE,ZBAC-ZDAC=ZDAE-NDAC,ᓽNBAD=NCAE,'AB=ACᙠ^BAD¶^CAEl^BAD=/.CAE,.AD=AE.²BAD^ACAE(SAS),.'.ZACE=ZB,VZABC=ZACB=60°,ZACE=60°,ZDCE=ZACE+/ACB=60°+60°=120஺ᦑ|ᫀ>120஺ঝBAD^ACAE,r.BD=CE,...BC=BD+CD=EC+CD,

15CA=BC=CE+CDᦑ|ᫀ>CA=CE+CD.ூᑖ᪆௃(1)জᵫ²BADݲCAE(SAS),NDCE=NACE+NACB=6()o+60o=120஺ঝᵫABADÞZ\CAE,BD=CE,ᓽ%¼ß(2)¬µ²BAD^aCAE(SAS),BD=CE,NB=/ACE,ᓽ%¼ß(3)à(2)ḄáCE=BD=3,ZABD=ZACE,ᑭᵨãJ½ᳮlᓽ%¼ß஺

16⚪ᑖ᪆+ᑖ1ஹᔁ,-ᑖ.ᑖ᪆sᑖ:105ᑖçè⚪´ᓰd±25.0(23.8%)ᑖåᑖæêè⚪´ᓰd±80.0(76.2%)çè⚪´ᓰd±13(48.1%)⚪cᑖæêè⚪´ᓰd±14(51.9%)2ஹᔁ⚪/ᑖ.ᑖ᪆ᜧ⚪⚪ì⚪íc´ᓰd±ᑖå´ᓰd±îÙ⚪6(22.2%)6.0(57%)|⚪9(33.3%)75.0(71.4%)ᓫ⌱⚪12(44.4%)24.0(22.9%)3ஹᔁ012᪀ᑖ᪆ðñò᧕Èᓰd1ôõ(59.3%)2ö᧕(33.3%)3÷ò(7.4%)4ஹᔁ456ᑖ᪆ðñgø´ùgú©±ᑖå´ᓰd±⚪ñ1ᑖᨵḄᩩý2.0(1.9%)4

172¯©ᑖḄ½1.0(1.0%)173®¯°ᐰḄᑨ½10.0(9.5%)264IᐗIXuþ12.0(11.4%)7,195ᑖḄÿ
12.0(11.4%)8,2162.0(1.9%)17-3.0(2.9%)248Ḅ☢1.0(1.0%)189ᑖḄ2.0(1.9%)310Ḅឋ3.0(2.9%)5,1811ᙠᦪ⊤Ḅ!2.0(1.9%)712ᑖ"#5.0(4.8%)2213$ᑖ%Ḅឋ2.0(1.9%)914&'
ᑖ1.0(1.0%)1315ᙠᦪ⊤Ḅ!10.0(9.5%)1916Ḅឋ3.0(2.9%)6,1717($Ḅឋ12.0(11.4%)2718)*+)*5.0(4.8%)1,2419ᚖ%-ᨬ/2.0(1.9%)9

1820-123.0(2.9%)242134ᳮ14.0(13.3%)12,2722•ᐗ8911.0(10.5%)16,1923ᑖ"#Ḅ:▭<ᵨ10.0(9.5%)252412Ḅឋ4.0(3.8%)11,1225ᑭᵨᑖ?@ᓄBCD10.0(9.5%)2126EFḄឋ1.0(1.0%)1527Ḅឋ2.0(1.9%)228Ḅᑨ2.0(1.9%)1029($ḄHᔠ12.0(11.4%)2730Ḅ+!1.0(1.0%)1631&'
J'
ḄHᔠ?ᵨ10.0(9.5%)20328ᐗ89Ḅ<ᵨ10.0(9.5%)2533ḄᑨJឋ5.0(4.8%)2334Ὺ($Ḅᑨ10.0(9.5%)2635ᑖḄDLMḄᩩO1.0(1.0%)14