2019-2020学年山东省淄博市临淄区八年级（下）期末数学试卷（五四学制）（附答案详解）

《2019-2020学年山东省淄博市临淄区八年级（下）期末数学试卷（五四学制）（附答案详解）》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。

2019-2020
ḕ
ᦪᔁᑴ1.ᑡḄ᪷ḄA.V—x—2B.yfxC.V%2+2D.Vx2—22.☢"#$%ḄA
3+y/3=3^/3B.V27+V3=3C.y/2-V3—V5D.3.᝞'(ᙠ*+,-A3CO.(/Eᙠ,0c0(DEEC=31,12AE38஺5/F,ᑣḄ☢788”Ḅ☢79:;A.34B.916C.91D.314.<=y=—5+-2x—3,ᑣ2>Ḅ?;A.—15B.15C.--D2TᓄAᵨḄCD;5.y50A.—B.30V330C.—D.30vH30306.ᑡEF.(ᐗEFḄজ3/+7=0@ax24-+c=0ঞ(J2)(%+5)=%2-1@3%—^=0.A.জB.জঝC.জঝঞD.জঝঞট7.EF/2%-3=0LMNEOᓄ;x+a
2=bḄ-($%ḄA.%—I
2=4B.%+1
4C.%—I
2=16D.x+I
2=168.Pᐵ5xḄᐗEFm-1
/+%+tn?+2m-3=0ᨵS᪷;0,ᑣ᪷Ḅ?;A.1B.3C.1ᡈ—3D.—39.<=Uᐵ5xḄᐗEF/bx+c=0ḄW᪷ᑖY;=1,Z=2ᑣ஺8cḄ?ᑖY;A.6=-1,c=2B.h=1,c=2C.b=1,c=-1D.b=-1,c=-210.ᑡᔜ].^ᩩ`aᡂ:cḄA.4cm2cmஹ\cm>3cmB.\cm>2cmஹ3cmஹ5cmC.3CT??ஹ4c7%ஹ5cmஹ60nD.1cm2cmஹ2cm>4cm

111.᝞'(gSh$E-,iᙳ;1,AABCḄ⚔/ᙳ;p/(D;AB./(q/஺;rs.t,us:;2,w4ABCᜧ,^ᑮz&B1G(ᑣ=()A.ᙠ2B.V5ᔆ3V52D.ᙠᡈ2212.᝞'h"ᵨᵯᩭᜋḄ'./Pᜐ*Ḅ*☢(ᐝ`/AL*☢ᑮᜋCDḄ⚔Cᜐ(<=4B1BD,CD1BD,¡^4B=1.2¢(BP=1.8¢(PD=12¢(¤¥¦ᜋḄ()A.6¢B.8¢C.18¢D.24¢13.ᓄA©+«-(6-ḄCD.14.PaEF——2%—2=0ḄS᪷(ᑣ2a2—4a=.15.±(஻ᑖY;ᐗEF/+2%-999=0ḄWS´ᦪ᪷(ᑣ62+3⊈+n=.16.᝞'(¶B஻CD஻EF,A¹8BEu35/G,¡4G=2,GD=1,DF=5,¤¥"Ḅ?»5.17.<=`aAB=2,C`aABḄ½¾ᑖᒘ/(¡AC

2(2)2(x-3)2=X2-9(3)(x-2)(%-3)=12Å(4)3(2%-3Ê=27Å(5)2(X-3)2=X(X+3)(6)x2-2x-255=0.21.ËÌÍ
1ᨴÏḄÐÊᡂÑ400Òᐗ(ᵫ5ᦋÕᢈ×(ÐÊᡂÑ⌲ᨴÙ(3ᨴÏḄÐÊᡂÑ361Òᐗ.Ꮇ¦ËÌ2ஹ3ஹ4ᨴgSᨴÐÊᡂÑḄÙ᳛ÜuÝ.(1)ÞgSᨴÐÊᡂÑḄÙ᳛Å(2)ßà⚜4ᨴϦËÌḄÐÊᡂÑ.22.ᖪãäᖪå*ᙳgᜩç├é30ê(gêëᑭ50ᐗ.;íîïðñòó(ᖪãôõö〉øḄÙùúû.Lüýþ(gêᖪågÙù1ᐗ(ᖪã*ᙳgᜩçÿ
2.ᖪxᐗ.(1)ᖪ├ᖪᑭᐗ(ᵨ%Ḅ"ᦪ$⊤&)((2)ᙠ*+ᩩ-.ஹ├01234ᖪ56ᐗ7ᖪᑭ89ᑮ2100ᐗ?23.᝞=>?ᙠ@*ᵫBCADᔣBCB.FGDᑮHP7IJGKLMNḄ⚔PQRSTᑮBCAḄUP(FGᔣVWXY12Zᑮ9H஺7IJGKVMNḄ⚔PQRSTᑮBCBḄUP.\]>?ḄK^_1.6m,`aBCḄ^bc_9.6?n,S.AP=QB.(1)d`aBCefḄgh.(2)F>?DᑮBCBḄUP7GᙠBCA4ḄMi_56j24.(1)᝞=1,\]4ACB=DCE=90°,AC=BC=6,CD=CE,AE=3,/.CAE=45஺dADḄi.(2)᝞=2,\]NACB=4DCE=90஺/.ABC=/.CED=Z.CAE=30°,AC=3,AE=8,dAOḄi.

3k4⚓ᐳ14⚓

4ᫀop᪆1.ூᫀ௃Cூp᪆௃pAஹFx=07-x-2<0,7Tv2wxy,ᦑ|⌱⚗┯(BஹF=-170wxy(ᦑ|⌱⚗┯CஹX2+222,.•.ᔠ᪷$Ḅyᦑ|⌱⚗0(DஹFx=±17X2-2=-1<0,-2;ᦑ|⌱⚗┯(ᦑ⌱C.᪷᪷$Ḅᦪ_ᦪa⌱⚗
ᑨᓽ8.|⚪ὃ᪷$Ḅy.v᝞e(a>0)Ḅ"ᦪ$᪷$.2.ூᫀ௃Bூp᪆௃p43+¡-_¢£⚗w¤¥Y¦ᦑA⌱⚗┯(B.V27V3=ᵞ=g=3,ᦑ8⌱⚗0(C.V2xV3=V2X~3=V6,ᦑC⌱⚗┯(D;7(52)2==2,ᦑ஺⌱⚗┯(ᦑ⌱B.᪷᪷$Ḅ§ᔠ¦¤ᑖ©¥Y¦ᓽ8.⚪ª⌕ὃ᪷$Ḅ§ᔠ¦¬ᓄ¯᪷$Lᙠ°Ḅ±²³ᨵ¢£᪷$Ḅ⌕ᔠµ(¶·Ḅ7᎛ᦪ¯ᓫḄºS»ᦪ¶·Wᓄ¯(¼ᜧḄ¾8ᐜᓄ¯W¶·ᮣÁÂ.3.ூᫀ௃Bூp᪆௃ூᑖ᪆௃|⚪ὃÃYÄÅḄឋÇÈɶÊËÌḄᑨoឋÇÍx¶ÊËÌḄ☢ÏeÐÑÒ¶ÊÐḄÃ.8ÓÔÕDFEEBFA,᪷¶ÊËÌḄ☢ÏeÐÑÒ¶ÊÐḄÃᓽ8Ö
ᫀ.ூp௃p•••ÄÅABCO×ÃYÄÅDC//AB,DC=AB,

5•••DFEs4BFA,vDE
EC=3I,:.DE
DC=34,:.DE
AB=34,SADFES&BFA—%16.ᦑ⌱B.4.ூᫀ௃Aூp᪆௃ூᑖ᪆௃|⚪ª⌕ὃ¦ØÃ᪷Ḅឋp|⚪ḄᐵÚ_d
xoyḄ¡.✌ᐜ᪷¦ØÃ᪷Ḅឋd
xḄ¡ᯠL"ᐭ$Nd
yḄ¡ᨬLd
Ḅ¡.ூp௃p⌕ßᨵxyᑣpÖx=|ᦑy=-3,5..2xy=2x-x(-3)=—15.ᦑ⌱45.ூᫀ௃Cூp᪆௃pᵨ=!=",ᦑ⌱C.ᐜá᪷âãä$åᑖᯠLᑖæᨵᳮᓄ.|⚪ª⌕ὃ᪷$Ḅᓄ¯м¯ᓫ.6.ூᫀ௃Aூp᪆௃pজ3/+=0v_vᐗ²(7ঝa%2+bK+c=0,Fa=07-_vᐗ²(ঞ஺-2)(ᑐ+5)=/-1᦮ᳮÖ3X—9=0,_vᐗv²(ট3ï-ð=0_ᑖ$².Xᦑ⌱A.᪷vᐗ²Ḅyᑨᓽ8ñᨵvaò]ᦪµóò]ᦪḄᨬ^ᦪ_2Ḅ᦮$²vᐗ².|⚪ὃḄ_vᐗ²Ḅyᑨva²_ᔲ_vᐗ²õÍxᢕ÷5a☢“ᓄ¯L"(“vaò]ᦪ"(“ò]ᦪḄᨬ^ᦪ_2”(“⚗Ḅúᦪ-ÑÒ0"(“᦮$²”.k6⚓ᐳ14⚓

67.ூᫀ௃Kூp᪆௃p%2-2x4-1-1-3=0,(x-I)2=4,ᦑ⌱A.᪷ü¤ᓽ8d
ᫀ.|⚪ὃvᐗ²Ḅü¤p⚪ḄᐵÚ_¬ᵨü¤|⚪ýÒþẠ⚪
.8.ூᫀ௃Dூ᪆௃x=஺ᐭ(m—l)x2+x+m2+2m—3=஺m?+2m—3=0,1——3,m—1,2m-10,ᡠ7H——3.ᦑ⌱D.᪷ᐗḄḄ!"x=0ᐭ(nt-l)x2+x+m2+2m-3=0ᐵ$mḄ%ᯠ'ᐵ$mḄ'ᑭᵨᐗḄ!"*!mḄ+.,⚪ὃ./ᐗḄ01ᐗ234567Ḅ89ᦪḄ+;ᐗḄ.<ὃ./ᐗḄ!".9.ூᫀ௃Dூ᪆௃,:ᐵ$xḄᐗ/—bx+c=0Ḅ4᪷ᑖBCᓃ=1,x=—2,2Xi+x=b=1+(—2)=—1,X]♦%2=c=1x(-2)=-2,2:.b=51,c=—2.ᦑ⌱D.ᵫᐵ$xḄᐗ/bx+c=0Ḅ4᪷ᑖBCᓃ=1,x=-2,ᑭᵨ᪷FGᦪ2ḄᐵG%ᓽIJᓃFcḄ+.K⚪ὃ./᪷FGᦪḄᐵG.K⚪LMNᓫ%PQRST⚗GᦪC1,X1,g;V+p%+q=0Ḅ4᪷X%ᑣF+Z=-p,=q.10.ூᫀ௃Dூ᪆௃4ஹ\]ᑮᜧ᣸ᑡ%ᵫ$1X4K2X3,ᡠZᡂLc%Zdᔠ⚪QfBஹ\]ᑮᜧ᣸ᑡ%ᵫ$1x5g2X3,ᡠZᡂLc%Zdᔠ⚪QfCஹ\]ᑮᜧ᣸ᑡ%ᵫ$3x64x5,ᡠZᡂLc%Zdᔠ⚪QfDஹ\]ᑮᜧ᣸ᑡ%ᵫ$1X4=2x2,ᡠᡂLc%dᔠ⚪Q.ᦑ⌱D.hᩩjkᡂLc%᪷jkḄlmᐵG%\]ᑮᜧ᣸ᑡ%ᑨopq4⚗Ḅr;ᔲ7$454⚗Ḅr%67ᓽᡂLc.,⚪ὃ.jkᡂLcḄ9t.u,vw⚪x⌕z{ᨬᜧᨬ]ᦪḄr}pq4~ᦪḄ

7r%ᑨo;ᔲ67ᓽI%67ᓽᡂLc%Z67ZᡂLc.11.ூᫀ௃Dூ᪆௃᝞%"AC=1,BC=2,:.AB=y[S,••♦4BCSA4B1C16LC2,AB12••
i4^=2V5,11=44Ḅ=%ᳮBB=AB-AB=^,2222ᦑ⌱D.᪷'B'C'BC஺Cp%LC12ᡈ21,ᫀ.K⚪⌕ὃ./ᣚ%᪷⚪Q;⚪ᐵ.12.ூᫀ௃Bூ᪆௃ᵫ⚪Q9ᐝjAPFᐝjPC,AAPB=ACPD,•RtABPsRtCDP,ABBP:.—=--,CDPDCD=ᚆ
=8.1.8ᦑ⌱B.ᵫ9ABPSACDP,ᑣ᪷6ḄឋIḆ=ᓽI.DrrD,⚪¡ᔠὃ./¢☢¤¥¦6Ḅ9t%;⍝MCNᓫḄ⚪%ὃ.6¨©ᙠ«¬pḄᵨ.13.ூᫀ௃4+☘¯ூ᪆௃°±=⍩+3b-³´-66=4+”3ᦑᫀC4^5+᪷᪷±Ḅµ¶·{¸ᑣᓽIJᫀ.,⚪ὃ.᪷±Ḅµ¶·{%⚪Ḅᐵ;¹º·ᵨ᪷±Ḅµ¶·{¸ᑣ%,⚪»$¼Ạ⚪
.14.ூᫀ௃4¾8⚓%ᐳ14⚓

8ூ᪆௃X=aᐭa2-2a-2=0,ᑣa?-2a=2,ᡠ2a2—4a=2(a2—2a)=2x2=4.ᦑᫀC4.᪷ᐗḄḄ!"%x=aᐭᑮa?-2a-2=0,ᑣ2a=2,ᯠ'2a2-4aC2(a2-2a),Áᑭᵨ᦮ÃᐭḄ¸z{.,⚪ὃ./ᐗḄ01ᐗ234567Ḅ89ᦪḄ+;ᐗḄ.<ὃ./᦮ÃᐭḄz{¸.15.ூᫀ௃997ூ᪆௃"m,஻ᑖBCᐗ/+2x—999=0Ḅ4~Åᦪ᪷%m+n=-2,m2+2m—999=0.ᓽm2+2m—999.ᑣ°±=(m2+2m)+(m+n)=999—2=997.ᦑᫀC997.ᵫ⚪Q%x=mᐭJḄ+%Áᑭᵨ᪷FGᦪḄᐵGJm+nḄ+%°±'ᐭz{ᓽIJ+.K⚪ὃ./᪷FGᦪḄᐵG%¹ºRSᐗ᪷FGᦪḄᐵG;,⚪Ḅᐵ.16.ூᫀ௃|ூ᪆௃•••AG=2,GD=1,•AD—3,-AB//CD//EF,.BC_AD_3•CE~DF~5’ᦑᫀC|.✌ᐜJ4஺ḄlÊ%ᯠ'᪷¢ËjᑖjkᡂLc!ᳮ%ᑡLc±¾=,ᓽIᑮCEDFÌÍ.Î⚪⌕ὃ./¢ËjᑖjkᡂLc!ᳮ}ᐸᵨw⚪f⚪Ḅᐵ;Ð*ÑpḄjk%Ò*ᑡLc±Jஹz{.17.ூᫀ௃3-V5.ூ᪆௃:C;jkABḄÓ¯ᑖᒘ%ACVCB,•••CB=—AB=—X2=V5-1,22


AC=4B-CB=2-(⍩-1)=3-6ᦑᫀC3—V5.ᑭᵨÓ¯ᑖᒘḄ!"ᑮCB=gÕ4B,4B=2ᐭz{%ᯠ'z{4B-CBᓽI.,⚪ὃ./Ó¯ᑖᒘḄ!"jkA8ᑖᡂ4ᩩjkACBCG4OBC),1AC

9;AB8CḄLcp⚗(ᓽA5AC=AC
BC),×ØjkA5Ó¯ᑖᒘ%஺×ØjkA8ḄÓ¯ᑖᒘ.18.ூᫀ௃32ூ᪆௃


DEEC=1
2,AEC
DC=2
3•
,h5ABCD;¢Ëh5%:AB“CD,AB=CD,••ABF^LCEF,BF
EF=AB
EC,vABEC=CD
EC=32,:.BF
FE=32,ᦑᫀC32.ᵫ஺EஹECḄLcᐵG±%IJECஹ0cḄLcᐵGfᵫ$¢Ëh5Ḅ567%ᓽIECஹABḄLcᐵG%᧕$%AABFSACEF,I᪷6¨©Ḅ5ᡂLcJBFஹEÙḄLcᐵG.K⚪⌕ὃ.Ḅ;¢Ëh5Ḅឋ}6¨©Ḅᑨ!ឋ.19.ூᫀ௃(1)475+A/45-V8+4V2=4V5+3V5-2V2+4V2=7V5+2V23Ú(2)6-2--3-11=6—2x—V6—3x-V6L3L=6—V6——V6=6-|V6(3)(372+V48)(V184-4A/3)=(3V2-473)(372+4A/3)=(3V2)2-(4V3)2=18-48=-301LLl—(4)-V3^-572-2712¾10⚓%ᐳ14⚓

1011=-X-X23X二X2452V18ூ᪆௃(1)ᐜ᪷᪷±ḄឋËz{%Á᪷᪷±Ḅµ¶¸¸ᑣËz{ᓽIf(2)ᐜ᪷᪷±ḄឋËz{%Á᪷᪷±Ḅµ¶¸¸ᑣËz{ᓽIf(3)ᐜ᪷᪷±ḄឋËz{%Á᪷¢ÛܱËz{%ᨬ'᪷᪷±Ḅµ¶¸¸ᑣËz{ᓽIf(4)᪷᪷±Ḅݸ◀¸¸ᑣËz{ᓽI.,⚪ὃ./᪷±Ḅßᔠ·{%0Ò*᪷᪷±Ḅ·{¸ᑣËz{;K⚪Ḅᐵ.20.ூᫀ௃(l)a=1,b=-1,c=-14=(-1)2-4x1x(-1)=5>0,-d±Vb2-4ac1±V5X=---------------=----%2a2X1ᡠF=à%x=^2(2)2(x-3)2-(%+3)(%-3)=0,(%—3)(2%—6—x—3)=0,%-3=0ᡈ2x-6-x-3=0,ᡠá1=3,%=9;2বᓄCX2-5%-6=0,(%—6)(%+1)=0,x—6=0ᡈx+1=0,ᡠ=6,x=-1f2(4)°ᓄC(2%-3)2=9,2%-3=±3,ᡠá1=0,x=3f2(5)᦮ᳮC/15%+18=0,21=(-15)2-4x1x18153>0,-b±\/b2-4ac15±3V17X=---------------=-----------2a2x115+V1715-V17ᡠᡭ2%X2=2(6)%2-2%=255,%2—2x+1=256,(%—1)2=256,

11x-1=±16,ᡠ=17,x=-15.2ூ᪆௃(1)ᑭᵨJ᪷ܱ¸(2)ᐜå⚗ᑮ2(x-3)2-(%+3)(x-3)=0,ᯠ'ᑭᵨæ±ᑖ¸f(3)ᐜᓄCç±%ᯠ'ᑭᵨæ±ᑖ¸f(4)ᐜC(2x-3V=9,ᯠ'ᑭᵨèéꢸf(5)ᐜᓄCç±%ᯠ'ᑭᵨܱ¸f(6)ᑭᵨë¸.,⚪ὃ./ᐗ-æ±ᑖ¸æ±ᑖ¸ì;ᑭᵨæ±ᑖJḄḄ¸%íî¸Nï᧕ᵨ%;ᐗᨬñᵨḄ¸.<ὃ./ܱ¸ë¸ᐗ.21.ூᫀ௃(1)òó~ᨴõVᡂ,Ḅö÷᳛Cx,᪷⚪Q:400(1-x)2=361,ù=0.05=5%,%2=L95(Zᔠ⚪Q,úû).ó~ᨴõVᡂ,Ḅö÷᳛C5%.(2)361x(1-5%)=342.95(ýᐗ).⚜«4ᨴÿ
Ḅᡂ342.95ᐗ.ூ᪆௃⚪ὃᐗḄᵨ⚪Ḅᐵ(1)!"#$ᐵ%&'ᑡ)ᐗ*(2)᪷,ᦪ$ᐵ%ᑡ./0.(1)123ᨴᡂḄ56᳛x,᪷,2ᨴ8ஹ3ᨴ8Ḅᡂᓽ;<)ᐵ=xḄᐗ>?ᐸABCᓽ;<)DE*(2)ᵫ4ᨴ8
Ḅᡂ=3ᨴ8
Ḅᡂx(1-56᳛)ᓽ;<)DE.22.ூKᫀ௃(1)2%,50-X*(2)12MᖪO6Pxᐗᑣᵫ⚪R<(50-x)(30+2x)=2100(0

12(2)#$ᐵ%2MᖪOḄiᑭx;ᓬ)ᖪOḄMᦪ=2100,uvᐵᦪCwᐭ/0<ᑮᔠ〉Ḅᓽ;.⚪ὃᑡwᦪ.|ᐗḄᵨ<ᑮ}iᑭ2100ᐗḄ#$ᐵ%~⚪Ḅᐵ.23.ூKᫀ௃(1)᝞I,•••PM//BD,•••APM^^ABD,APPMnnAP1.6=,UJ—,ABBDAB9.6
.AP=-AB,6••NQ//AC,•BNQs^BCA,.•.="ᓽ=”BAACAB9.6BQ=-AB,6AP+PQ+BQ=AB,.---AB+12+=AB,66AB=18.KḄ18m*(2)᝞1,ᙠA5ḄV,••BM//AC,&NBMS^NAC,BNBMBN—=—nUnJ-

13Z.DCE^Z.ACE,BPzBCF=Z.ACD,
•AC=BC,DC=EC,ᙠACD|BCE²AC=BCBCE=ACD,DC=EC•BCE,•AD=BE#-AC=BC=6,•AB=6>/2,-/.BAC=Z-CAE=45°9,•"/£=90°,ᙠRtABAE²AB=6V2,AE=3,•BE=9,:.AD=9*(2)᝞2,°±BE,^Rt^ACB^p,/.ABC=A.CED=30°,tan30°==⍡BC3••Z.ACB=DCE=90°,•BCE=Z.ACDf•ACDSABCE,ADACV3:.—=—=—.BEBC3VZ.BAC=60°,Z.CAE=30°,•BAE=90°,´AB=6,AE=8,:.BE—10,AD=—y/3.3ூ᪆௃(1)°±BE,4CDABCE,<ᑮAD=BE,ᙠRtBAE²AB=6ᡈAE=3,¤)8E,<ᑮKᫀ*ফ°±BE,ACDSABCE,<ᑮ½=¾=£¤)BEḄ<ᑮAOḄ.BEBC3⚪ὃḄvḄᑨÁ|ឋஹᐰ#ḄᑨÁ|ឋÃÄឋÁᳮ|ᑨÁÁᳮ⚪Ḅᐵ&'Å)ÆÇÈÉÊ.q14⚓ᐳ14⚓