2020-2021学年广东省佛山市顺德区九年级（上）第一次月考数学试卷（附答案详解）

《2020-2021学年广东省佛山市顺德区九年级（上）第一次月考数学试卷（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。

2020-2021
ḕ▰ᓭ
ᨴὃᦪᔁ1.!ᑡ#$%ᐵ'XḄᐗ+#$Ḅ%A.x+2y=0B.x2-4y=0C.x2+3x=0D.x+1=02.ᐗ+#$--6x+9=0Ḅ⚗9ᦪ%A.6B.1C.-6D.93.<=>=?Ḅ@ABC6CM,ᑣ@AḄEBCA.2cmB.2.5cmC.3cmD.4cm4.!ᑡJ?K%LMNJ?OP%QMNJ?Ḅ%A.RA>=?B.STUA?C.V?D.RῪX?5.᪷Z!ᑡ⊤\M]^:X-1011.11.21.3ax2+bx+c-26-15-2-0.590.842.29ᑨaᐵ'xḄ#$a/+bx+c=0a*0ḄfgxḄi%A.x<—1B.—1=?ḄwABᑖC36O>AḄB%#$/6x+8=0Ḅf᪷,ᑣvf>=?ḄᕜBCA.11B.12C.11ᡈ13D.139.ᐵ'xḄ#$/—2x+c=0ᨵwfRḄᦪ᪷OᑣcḄ^CA.1B.—1C.4D.—410.᝞JOᙠ#?ABCOOABC2ḄRA>=?AEFḄ⚔E,ᑖᙠBCO!ᑡ¡:ᐸ£Ḅ¤¥%জCE=CFঝ¨4EB=75°ªঞBE+DF=EFªটSABCD=2'.

1A.জঝটB.জঝC.ঝঞটD.জঞট11.——9=0,ᑣx=.12.#$(®+2)(%-4)=0Ḅg%.13.ᐵ'xḄᐗ+#$-3x+m=0Ḅf᪷C1,ᑣmḄ^C.14.᝞JOᙠ?ABC஺OM=EAC,BO°'O,±²L¨4஺஺=120஺OAB=1,ᑣBCḄBC.5^--------------15.᝞JOᙠ´ABCOOµ¶·¸fᩩ¹OºUA?ABC஺%?O»ᡠ·¸Ḅᩩ¹%16.m½¾¿OSᙳyᜩ├Â20¹Oy¹Ãᑭ44ᐗOy¹ÅÆ1ᐗOᑣyᜩ~Â5¹O᝞Çyᜩ⌕Ãᑭ1600ᐗOy¹ÅÆx,ᡠᑡḄ#$C.17.᝞JᡠÉO?A8COḄ☢ËC10cm2,ÌḄwᩩM=E°'0ÍÎA3ஹ401C⚞AÑSTUA?ABC2%,…OÎÓÔÕOᑣSTUA?ABCs/Ḅ☢ËC.18.g#$ÖX2-4%-5=0.19.g#$Ö2/+5=7x(ᵨØÙÚ).20.᝞JO±²V?4BCZ)OM=EAC8஺°'0,ABAD=120°,AB=8,ÜÖV?ABC£Ḅ☢Ë.2⚓Oᐳ15⚓

221.±²ᐵ'xḄ#$M—2(m+l)x+m?=0.(1)ßàáâ^ãO#$ᨵwfäRḄᦪ᪷.(2)Cà⌱áfᔠ〉ḄᦪOº#$ᨵwfRḄᦪ᪷OèÜvwf᪷.22.éêëḄ᱆᱆íᑭᵨ☢ᜋ(ᜋḄBï32)Oð>Aᵨ60BḄñòiᡂf☢ËC400S#Ḅ?ôᙢᵨᩭ½÷ᓥ.(1)µùéêëḄ᱆᱆Üú?ḄBû.(2)éêü?Ḅ☢ËÎýᑮ500S#OéêḄüÚMᔩCÿ
23.᝞஺ABCOḄCCE஻OD,£DE஻4C,CEOEE.(1)OCE஺.(2)!AB=4,AABC=60",OCEDḄ☢.24.᝞ᙠABCQ!AB=4cm,(1)"#4cḄᚖ%&ᑖAOF,E.(2)()AE,CF,AEC*.(3)+EFḄ,-.A--------------------------------|DB--------------------------------25.᝞./01ABC஺Ḅ,2,Z.EAF=m°,24E4F3A45┐789Ḅ:ᑖ;8Cஹ8EஹF,G>,?@ABCDᢝBG=DF.(1)Zk/IBGF4DFG(2):AGLAF(3)IEF=BE+OF5জ஻?ḄLGঝNOCZ)Ḅ!8EḄ,.

3P4⚓ᐳ15⚓

4SᫀUV᪆1.ூSᫀ௃CூV᪆௃V4x+2y=0Zᨵ:\]/ᦪ_ᔠ⚪bGAx2-4y=0Zᨵ:\]/ᦪ_ᔠ⚪bC./+3X=0@ᐗde1fgᔠ⚪bGDx+1=0!]/ᦪḄᨬieᦪ_2e_ᔠ⚪bGᦑ⌱C.lm@ᐗde1fḄnopqᑨsᓽu.v⚪w⌕ὃzḄ@ᐗde1fḄno{|}~@ᐗde1fḄnoV⚪Ḅᐵ.2.ூSᫀ௃CூV᪆௃V@ᐗde1f——6x+9=0Ḅ@e⚗ᦪ@6.ᦑ⌱C.᪷m@ᐗde1fḄ@ᓽuVS.v⚪ὃz@ᐗde1fḄ@{|}~@ᐗde1fḄ@V⚪Ḅᐵ.3.ூSᫀ௃CூV᪆௃V%Ḅ,6c•ᜐᑣ?Ḅ!,3c7*,ᦑ⌱C.᪷m%?Ḅ!Ḅ@uSᫀ.⚪w⌕ὃz%Ḅឋᐵ}~ᙠ%!?Ḅ!Ḅ@.4.ூSᫀ௃CூV᪆௃VAஹ._!_ᑮ᪵Ḅ@78180-9Ḅ:ᑖ¡¢ᔠGᓽ_£¤!Ḅno.ᦑ┯¦G8ஹ__ᑮ᪵Ḅ@ᩩ%¨ᩩ%ᢚ9Ḅ:ᑖ¡¢ᔠGᓽ_£¤Ḅno.!.ᦑ┯¦GCஹª!.ᦑ0«G஺ஹ._!_ᑮ᪵Ḅ@78180-9Ḅ:ᑖ¡¢ᔠGᓽ_£¤!Ḅno.ᦑ┯¦.ᦑ⌱C.᪷m¬!Ḅᭆ®V.}~!¬Ḅᭆ®Ḅᐵ¯:ᑖ

5ᢚ°u¢ᔠG!⌕¯!78180-:ᑖ¢ᔠ.5.ூSᫀ௃CூV᪆௃V••@ᐗde1fḄVᓽ±de²ᦪ³¬xḄ´ᙶ᪗dIde²ᦪ²ᦪL)¸¹0º»ᓄ5½¾³¬xᨵ••0º»ᓄḄÀᓽ1fVḄÀ.Ix=l.l,=-0.59,x=1.2,y=0.84,ydᐵxḄ1faM+bx+c=0(aH0)Ḅ@\VxḄÀ1.1

6ூV᪆௃V1•,X2-6%4-8=0,B|J(x—2)(%—4)=0,•••x-2=0ᡈx—4=0,Vx=2ᡈx=4,Nx=2,ᑣḄ2+3<6,᪀_ᡂòóGIx=45\Ḅᕜ,3+4+6=13,ᦑ⌱D.V1fxḄLà᪷mõöḄᐵ#gᔠᩩéḄxḄLᨬ#ᕜ,ᓽu.v⚪ὃz@ᐗde1fḄV÷ëõöḄᐵ.V@ᐗde1fçᵨḄ1÷ᨵ%)ø&1÷ù1÷ú÷ᑖV÷⌕᪷m1fḄᱯᮣý⌱ᵨᔠ〉Ḅ1÷.9.ூSᫀ௃AூV᪆௃V••ᐵxḄ1f--2%+c=0ᨵ:\Ḅþᦪ᪷•••(-2)2-4xlxc=0,Vc=1.ᦑ⌱A.ᑨs?ÿ
Ḅ᪷Ḅ⌕᪷Ḅᑨ4=624acḄḄ.ᨵᦪ᪷Ḅᐗ
!ᑨḄ!0,ᵫ#$%ᐵ'cḄ
()ᓽ.#⚪ὃ-ᐗ
᪷Ḅ.ᑨ/Ḅᐵ01(1)/>00
ᨵ3Ḅᦪ᪷1(2)/=0Q
ᨵḄᦪ᪷5(3)/<00
6ᨵᦪ᪷.10.ூ)ᫀ௃Aூ(᪆௃(1••<=>A8CD!?>/@/B!=CD>•AB=AD,B=D=90°,AE—AFZ-EAF=60°,fᙠFRtzMOFG(AE=AFlAB=AF9•Rt'ABECRt/ADF(HL),BE=DF,Z-BAE=Z.DAF,•BC=DC,BAD=90°,CE=CF,^BAE=Z.DAF=1(90°-60°)=15°,ᦑজ?J;.•.L4EB=75஺ᦑঝ?J5OPAC,QRE4C=30஺:.Z.BAEHEAC,SᳮZ-DAF
CAF,BE+DFEF,ᦑঞ┯W1

7VEF=2,CE=CF,ZFCF=90°,CE=CF=V2,XᑣBE=X-VLvLB=90°,•%2+
%-V22=22,(Z[=]^_`ax(),%2=^d2=2+gᓽS?ḄIBCD=2+fᵫgZ?JḄ!জঝটᦑ⌱1A.᪷j⚪klmAABEF/ACFᐰopZᑮBE=DF,ᯠsᓽZᑮCE=CFt᪷j4E4F=60஺ᓽZᑮNB4EḄuᦪopvZN4EBḄuᦪ5ᯠs᪷jw>ᑨxBE+DF=Ey!ᔲ?J5t᪷j{|}ᳮvZ?>Ḅ☢op()⚪.⚪ὃ-?>ḄឋஹᐰCD>Ḅᑨ}.ឋ()⚪Ḅᐵ!mJ⚪kᑭᵨᦪ>ᔠḄ().11.ூ)ᫀ௃±3ூ(᪆௃(1•••/-9=0,X2=9,•••x=±3.ᦑ)ᫀ1±3.Pᑭᵨ(
Z)ᫀ.#⚪⌕ὃ-P(
?J!(⚪ᐵ.12.ூ)ᫀ௃Ḅ=-2,x=42ூ(᪆௃(1^x+2
x-4=0,x+2=0ᡈx—4=0,(Z1=-2,x=4,2ᦑ)ᫀ1%!=-2,%—4.2᪷j
Zᐗ
tv
Ḅ(ᓽ.⚪ὃ-(ᐗ
?J〉Ḅ(
!(#⚪Ḅᐵ(ᐗ
ḄᨵPᑖ(.13.ூ)ᫀ௃2ூ(᪆௃8⚓ᐳ15⚓

8ூᑖ᪆௃#⚪⌕ὃ-ᐗ
Ḅ(.᪷jᐗ
Ḅ(Ḅ}¡X=1¢ᐭ¤
ᑡᐵ'஻Ḅ
ᯠs(
ᓽ.ூ()௃(1•ᐵ'XḄᐗ
--3x+m=0Ḅ᪷1,•••x-1¨©ᐗ
/—3%+m=0,:.1—3+771=0,(Zm=2.ᦑ)ᫀ12.14.ூ)ᫀ௃V3ூ(᪆௃(1•••<=>ABCO!«>•••/.ABC=90°,OA=-AC,OB=-BD,AC=BD,22•OA=OB,••L400=120°,•Z-AOB=60°,!=CD>:.OA=AB=1,:.AC=20A=2,BC=ylAC2—AB2=A/22—l2=V35ᦑ)ᫀ1V3.ᵫ«>ḄឋZL4BC=90஺OA=OB,tlm/40B!=CD>ZOA=AB,vAC,ᯠs᪷j{|}ᳮᓽvBC.⚪ὃ-«>Ḅឋஹ=CD>Ḅᑨ}.ឋ¬{|}ᳮ5®¯°«>Ḅឋ,lmCD>!=CD>!(²³⚪Ḅᐵ.15.ூ)ᫀ௃AC=8஺^)ᫀ3´aூ(᪆௃(1µ¶4c=BD,ᙠ·<=>4BC£G■■■AC=BD,*<=>A3C£!«>ᦑ)ᫀ1AC=B஺^)ᫀ3´a.µ¶4c=BD,᪷j¹DºḄ·<=>!«>lm<=>ABC஺!«>.#⚪⌕ὃ-«>Ḅᑨ}ᐵ!«>Ḅᑨ}1জ«>Ḅ}1ᨵD!DḄ·<=>!«>5ঝᨵCD!DḄ<=>!«>5

9ঞ¹DºḄ·<=>!«>.16.ூ)ᫀ௃(44-x)(20+5x)=1600ூ(᪆௃(1XÂÃÄÅxᐗÆÇÄÅsÂÃÈᑭ(44-x)ᐗÂᜩ├ËḄᦪÌ(20+5%)Ã5᪷jÂᜩ⌕Èᑭ1600ᐗᑡ
1(44-x)(20+5x)=1600.᝞ÎXÂÃÄÅx,ÆÇÄÅsÂÃÈᑭ(44-%)ᐗÂᜩ├ËḄᦪÌ(20+5x)Ã᪷jÂᜩ⌕Èᑭ1600ᐗᓽᑡ
.⚪⌕ÏÐ⚪kᳮ(1ÂÃÄÅx,├Ë5xÃ.17.ூ)ᫀ௃1.25cm2ூ(᪆௃(1•.•<=>4BC3!«>•••OA=OC=^AC,OB=OD=^BD,AC=BD,rrr1•OA=OC=OB=OD,t1X1•.•«>ABC஺Ḅ☢10cm2,ABOiḄ☢!:x10=2.5cm2,••<=>ABCÛ஺1!·<=>:.A0=BC1,AB=O£,1•ᙠ/48஺1F4GO/GA0=BCஹ1BO௃=BO1,AB=CO1••'ABO^^GOiB(SSS),ABO^hBCi஺ÛḄ☢à!2.5á2,ᓽ·<=>48G஺1Ḅ☢!5cm2,Sᳮâ1·<=>48஺2஺2Ḅ☢!2.5cm2,·<=>ABC3O3Ḅ☢!125cm2.ᦑ)ᫀ11.25cm2.᪷j«>ḄឋZ஺14=஺1஺=஺*=஺1஺vAABOiḄ☢lḄ஺ãv/48஺1FABCiOiḄ☢à!2.5¶2,Z·<=>ZBGO1Ḅ☢!5cm2=Ax10cm2,·<=>ABC2O2Ḅ☢!5cm25cm2,᪷jgåæᓽv·<=>48஺3஺3Ḅ☢.⚪ὃ-«>ḄឋF·<=>ḄឋᐰCD>ḄឋFᑨ}(#⚪Ḅᐵ!çåæᓽ!g·<=>☢Ḅè.10⚓ᐳ15⚓

1018.ூ)ᫀ௃(1(x+l)(x-5)=0,ᑣx+1=0ᡈé—5=0,•*,X1=^1,%2=5.ூ(᪆௃᪷j⚪
Ḅᱯëᑭᵨᑖ((
ᓽ.⚪⌕ὃ-(ᐗ
Ḅ쮯°(ᐗ
Ḅíîïᵨ1Pஹᑖ(ஹஹᔠ
Ḅᱯë⌱ðᔠ〉ஹñòḄ!(⚪Ḅᐵ19.ூ)ᫀ௃(1
ᓄ2ô7%+5=0,A=(-7)2-4x2x5=9>0,—b±Vb2-4ac7±3X=--------=---,2a2X2ᡠ=1.X=|-2ூ(᪆௃ᐜ÷
ᓄø2x2-7x+5=0,tù᪷ḄᑨḄᯠsᑭᵨv᪷Zᑮ
Ḅ(.⚪ὃ-(ᐗ
-1®¯°ᵨ(ᐗ
Ḅúû!(²³⚪Ḅᐵ.20.ூ)ᫀ௃(1•.•ü>ABC஺GABAD=120°,/.BAC=-^BAD=60°,AC1BD,2AABO=30°,vAB=8.OA=-AB=4,2OB=7AB2-OA2=473,•••AC=204=8,BD=2OB=873,ü>ABCDḄ☢1=1x8x8V3=32Vlூ(᪆௃ᵫü>ABC஺G¹DºACFý'ëO,/.BAD=120°,AB=8,vZNB4CḄuᦪAC1BD,ᯠsᑭᵨþ30஺DḄDCD>ḄឋvZ04.Ḅÿ
4C8DḄᑣᫀ.⚪ὃḄឋஹ30஺ḄḄឋᳮ.⚪"#$ᜧ&'()ᦪ+ᔠ-.Ḅ/ᵨ.21.ூᫀ௃34(1)ᐵ7xḄ8ᐗ:;<=/82(>1+1)%+m2=0ᨵ@A$BCḄDᦪ᪷•4>0,ᓽ4[82(H+1)]2—4H2>0,

113TH>—IK(2)L/=0N<=ᨵ@ABCḄDᦪ᪷22A[-2(m+l)]—4m=0,3mN<=O/—x+4=0,4•••(x-i)2=0,3=%2=*ூ3᪆௃(1)᪷R⚪'4>0,S[-2(T+I)]2-47n2>03$CUᓽK(2)᪷R⚪'V=0,WX"ḄZ[\mḄZ]ᐭ<=3<=ᓽ.⚪_⌕ὃ᪷ḄᑨbU38ᐗ:;<=ᐵcd()8ᐗ:;<=᪷ḄefᑨbUgḄᐵh4(1)21>0o<=ᨵ@A$BCḄDᦪ᪷K(2)4=0o<=ᨵ@ABCḄDᦪ᪷K(3)4<0=<=jᨵDᦪ᪷.22.ூᫀ௃34(1)kABḄOxlᑣBCḄO(60-2%)lm⚪'4x(60-2x)=400,᦮ᳮ4X2-30x4-200=0,34Xj=10.x=20>2Lx=10N60-2%=60-2x10=40>32,$oᔠ⚪'pqKLx=20N60-2x=60-2x20=20<32,oᔠ⚪'.4rḄO20lsO20l.(2)tuḄvw$xᳮᵫ᝞{4kABḄOylᑣ8CḄO(60-2y)lm⚪'4y(60-2y)=500,᦮ᳮ4y2-30y+250=0,•••4=(-30)2-4X1x250=-100<0,|<=}Dᦪ᪷ᓽrḄ☢$O500

1223.ூᫀ௃14•1-CE//OD,DE//AC,OCEDd.••A8COd.-.AC1BD,ᓽ“0஺=90஺:OCECdr.
234•••ᙠ4BC஺AB=4,•••AB=BC=CD=4.♦KAABC=60஺4BCdC3.AC=4,OC=-AC=2,2OD=A/42-22=2V3,:rOCEDḄ☢d2X2=45/3.ூ3᪆௃1ᵫᩩCODEO[ᵫḄឋ4C஺஺=90°,ᑣCODEOrK
2✌ᐜt4BCdC,ᡠ4c=4,ᑣOC=\AC=2,᪷Rᳮ஺஺=V42-22=2V3,+ᔠrḄ☢£U3ᓽ.⚪_⌕ὃrஹḄᑨ¤ឋ()rḄᑨ

13•••g"஺®//஺(4/1),CE=A¯••CE//AF,.AEC°O-AE=CE,•AECbOK(3)34,:4B—90°,AB=4cm,BC=8cm,•AC=7AB2+842=475,k4E=xcm,ᑣCE=xcm,BE=(8—x)cm,ᙠRtz\4BE(8-X)2+42=X2,3±=5,•**CE~~5an,•••4ECFḄ☢=\AC-EF=CE-AB=4x5=20(cm2),•••EF-—2V5.ூ3᪆௃(1)ᑭᵨ³ª©ªX¥´ACḄᚖᑖ¥ᓽK(2)EF«4c7O,᝞©ᐜgCEOµAAF஺¶lJCE=A°[4EC°OK(3)᪷RḄ☢£Uᓽᑮ+.⚪ὃª©-³ª©4¹º()5»³ª©d3¼½¾⚪Ḅᐵc.¿ὃ¥´ᚖᑖ¥Ḅឋ¤rḄឋ./.BAD=NC=NO=4ABC=Z.ABG=90°.vBG=DF,ᙠ••gABG^LADFAB=ACÀ4BG=LADFBG=DF•••g4BGgZk/DF(S4S)K(2)4•:XABG2ADF,•Z.GAB=Z-FADy•Z.GAF=/.GAB+Z.BAF14⚓ᐳ15⚓

14=/.FAD+Z,BAF=4BAD=90°,•.AG1AF(3)জ34LABG^LADF,••-AG=AF,BG=DF.vEF=BE+DF,•.EF=BE+BG—EG.vAE=AE,ᙠZk/IEG¤g4EF.AG=AF•EG=EFAE=AE•••g/lEGᝲAAEF(SSS).•Z.EAG=Z.EAFyZ.EAF=-Z.GAF=45°,2ᓽm=45KঝÄFdCDḄÅᑣDF=CF=BG=1.kBE=x,ᑣCE=2—x,EF=EG=l+x.ᙠRMCEFCE2+CF2=EF2,ᓽ(2—x)2+Æ=q+Ç2,X=/BEḄOÈூ3᪆௃(1)ᙠ<ABC஺,AB=AD=BC=CD=2,^BAD=NC=4஺=AABC=^ABG=90஺.ÉBG=DF,ᡠXAABG^^ADF,(2)ᵫAABGµg4DF,XNG2B=NFAD,Êᑮ4GAF=4G4B+NBAF=/.FAD+Z.BAF=4BAD=90°,X+4G1AF(3)জ4ᵫ4ABG^^ADF,AG=AF,BG=DF.¶ijEF=BE+DF,EF=BE+BG=EG.AE=AE,XgP£G9KAEF.ᡠN£;4G=/.EAF,Z.EAF=^/.GAF=45°,ᓽm=45KঝÄ°dC£>ḄÅᑣDF=CF=BG=1.kBE=x,ᑣCE=2-x,EF=EG=1+x.ᙠRtgCEFᑭᵨᳮXBEḄO⚪_⌕ὃ<ḄឋᐰCḄᑨឋᳮÌÍḄឋ3⚪Ḅᐵcd᪷RᐰCXBCḄ.