2021-2022学年广东省东莞市七年级（下）期中数学试卷（附答案详解）

《2021-2022学年广东省东莞市七年级（下）期中数学试卷（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。

2021-2022
ḕ᪍᪥
ᦪᔁ1.ᑡ⚪〉ᔠᵨᐰ☢!"Ḅ$A.&'ᐰ()*ᕜ,-./Ḅ01B.3■6789:᪥;<"=24@0᪶⏚

1A.(2,2)B.(0,1)C.(2,-1)D.(2,1)9.ᙠª☢«¬ᙶ᪗¯±²·4d3,2
,4B஻x¹ºZB=4,ᑣ·BḄᙶ᪗3A.(1,2)B.(-3,6)ᡈ(-3,-2)C.(-7,2)D.(1,2)ᡈ(-7,2)10.᝞wBEᑖABC,DE//BC,w¼½Ḅ¬ᐳᨵ()A.3ÁB.4ÁC.5ÁD.6Á11.4Ḅª]᪷$ÄḄÅ]᪷$-3.12.ᐵaxஹy]^2xm+i+3y2m-a=5$bᐗdT]^ᑣÈ=,=.n13.3&ÊËÌÍᨵÎÏᩩËᐜᣓÒ100ᩩÓÒÔÕᯠשØᑮËÌÍÚdÛ01,ÜᨵÔÕḄËÝᐰÞᔠËß×àᣓÒ200ᩩËáâᐸäÔÕḄË20ᩩᑣåᑨæËÌÍᜧèᨵᩩË.14.᝞w«é4B஻CD,BCªᑖµ4BD,41=64஺ᑣ/2Ḅìᦪ315.í²·P2a—4,a+1
,·îᙠᙶ᪗¹Òᑣ·PḄᙶ᪗3.16.᝞wïᕜð317cñḄò4BCóBC]ᔣªõᑮòDEFḄö÷ªõ×øᑮduùúûA8F஺Ḅᕜð325cm,ᑣªõḄüý3cm.17.᝞wþûABC஺Ḅÿ8CஹC£ᑖᙠxஹyCᔠ41,2
,ABCDxᔣA4&…!"#$4Ḅᙶ᪗2022(AA2022Ḅᙶ᪗.

2஺(஺18.+,-V4—V-27—11—y/2\+19.../0᪥234567ᡂᦪ5:;⚜=Ḅ>?@ABCD34100E56FG.HIHIJKᑖL#-AMNBCO஺QRHIJKSᑴᡂᡧV+W᝞WᡠZ.(1)[\]⚪_᪵abcdefg(2)+,ᡧV+W_ᡠḄᡧᙊijḄkᦪ.20./lmn:প+2y=5(ᵨsᐭu);(2)]2%+5y=-43%-4y=5521.᝞WxyzlA8CDL\⚔Ḅᙶ᪗ᑖd4(2,-28)8(5,-2|)C(5,-V3),0(2,-V3).(1)LABC஺ᔣ}~2b\ᓫzkᑏL48'C'D'ḄL\⚔Ḅᙶ᪗.(2)zlABCDḄ☢.

322.ᔆ.+0᪥23456ṹ᪥ḄᦪD᪥23456_@ABC.E56Ḅᦪ(ᓫ-cm),Sᑴᡂ.⚣ᦪᑖ⊤⚣ᦪᑖlW(7᦮).⚣ᦪᑖ⊤X⚣ᦪ¢ᑖ£145<%<1501020%150<%<1551122%155<%<160m30%160

4(2)Ï40F=2COE,±ᑏ4B0EÏ40cãäḄᦪcᐵæ.25.ᙠ}☢jᙶ᪗æ_஺ᙶ᪗4(8,6)ᑖÌxஹyḄ}GÇÊyËB,ÊxËC.(1)ᑏBCḄᙶ᪗-B(,)ஹC(,)Ö(2)C஺(2,0),çA஺ᙠ)èᙠéS“MD=12,MḄᙶ᪗Ö(3)PCê2\ᓫzk/ëḄìkCOlᔣ~í(ᑮ஺ïðñí)ò஺0ê1.5\ᓫzk/ëḄìkOBlᔣ~í(ᑮBïðñí)ó~íḄòäfëLAPOQḄ☢dᔲô6õᓄgõLAPOQḄ☢.õᓄõᓄḄø.

5ùᫀ/᪆1.ூùᫀ௃Dூ/᪆௃/-4./ᐰþ5ÿᕜ
Ḅ〉ᔠᐰ☢ᦑ⌱⚗ᔠ⚪ᕒ■᪥"#$%24&᪶⏚#)*+〉ᔠᐰ☢ᦑ⌱⚗ᔠ⚪C.⌱,-᪥./ᨬ1Ḅ$%23ᐰ456〉ᔠᐰ☢ᦑ⌱⚗ᔠ⚪D-ᢇ89:Ḅᢙ<=>?〉ᔠ@᪵ᦑ⌱⚗ᔠ⚪.ᦑ⌱CD.᪷EFGᑮḄ*+5IJKLᡠNO?ஹᱥ?RIST@᪵GᑮḄ*+5IUVWXᑨZ.⚪ὃ\@᪵Rᐰ☢Ḅ]^⌱_F`a@᪵⌕᪷Eᡠ⌕ὃḄcdḄᱯfᮣh⌱ᵨjkᩭmcnᐹᨵẚrឋḄஹtuWXFஹFḄvᡈxyᜧ{⌱_@᪵cn|K}⌕~ḄᐵᜧḄ⌱ᵨF.2.ூᫀ௃Cூ᪆௃CAஹ=7ᨵa8ᔠᐗj8ḄvᦑA⌱⚗ᔠ⚪8ஹᨵx,y,Zaᐗᔠᐗj8ḄvᦑB⌱⚗ᔠ5+z=2⚪CஹUjy=2ᔠᐗj8ḄvᦑC⌱⚗ᔠ⚪/)ஹ+3j2ᨵᑖᔠᐗj8Ḅvᦑ஺⌱⚗ᔠ⚪.(x+2y=3ᦑ⌱CC.ᐗj8ḄvḄ⌕C(1)ᨵ¡¢£¤ᦪ(2)£¤ᦪḄ⚗ᨬ8ᦪ¦{aj8(3)¦a᦮.E¨ᩭ⌲⚗ᑖ᪆⚪.⚪ὃᐗj8Ḅv.⚪ª«ᐵ¬a⌕ᐸ⌕C1ஹᨵ¡¢£¤ᦪ2ஹ£¤ᦪḄ⚗ᨬ8ᦪ¦{aj83ஹ¦a᦮.

63.ூᫀ௃Bூ᪆௃C3.14aᨵ▲&ᦪ5aᑖᦪ°=2a᦮ᦪ±²¦³nᨵᳮᦪtᳮᦪᨵᐔ,2.010010001-,ᐳᨵ2¢.ᦑ⌱CB.tᳮᦪ¸at▲¹º&ᦪ.ᳮtᳮᦪḄᭆ¼j⌕½ᳮᨵᳮᦪḄᭆ¼ᨵᳮᦪa᦮ᦪ¾ᑖᦪḄ¿À.ᓽᨵ▲&ᦪRt▲¹º&ᦪaᨵᳮᦪTt▲¹º&ᦪatᳮᦪ.ᵫᓽ¨~.⚪Ã⌕ὃ\tᳮᦪḄvᐸ«Ä«Åᑁ$ÇḄtᳮᦪᨵCᐔ2ᐔÈÉÉÊḄᦪËÌÍ0.1010010001…Èᨵ±᪵ÏÐḄᦪ.4.ூᫀ௃Dூ᪆௃C/3=/5a½ÑᑁÒÓÈLjÔ⊡ᡠË>ᑨAB஻CD.ᦑ⌱CD.ᵫ×XØḄᑨᳮ᧕¤AஹB¦>ᑨ4B஻CD⌱⚗C«¨G,41=45,ÚTᑨ4B஻CD⌱⚗஺«½ÑᑁÒÓÈLjÔ⊡ᡠË>ᑨ4B//CD.ÛKÜ^“ØÞÒ”«Ḅ½àÒஹᑁ┯Òஹ½ÑᑁÒaÛK⚪Ḅᐵ¬ᨵ½àÒÓÈஹᑁ┯ÒÓÈஹ½ÑᑁÒÔ⊡â>ã,¡äåæØ×X.5.ூᫀ௃Bூ᪆௃C<•-49<50<64,7

7⚪ὃ\ᐗj8ḄRjᐗj8>᪷E⚪G,ᐵn”Ḅa⚪Ḅᐵ¬.7.ூᫀ௃Dூ᪆௃C\-4øùú$%Ḅû?üýÚ«@\500
Ḅ᪵ᢣḄ500
Ḅᦑ⌱D.᪷⌕Ḅᭆᑨᓽ.⚪ὃḄ$%ஹ'%ஹ᪵ஹ᪵()*+,$%-./Ḅ01ᑖ'%345'$%Ḅ0'᪵6⚪Ḅᐵ8.8.ூ<ᫀ௃Dூ6᪆௃6@A᝞CᡠEḄF☢HIᙶ᪗L:NOPḄᙶ᪗(2,1).ᦑ⌱D.ᐜᑭᵨNOᵬḄᙶ᪗Z(-2,2)\/HIᙶ᪗Lᯠ^ᑏ/NOPḄᙶ᪗.⚪ὃ`ᙶ᪗abcdF☢ᑁḄfgᨵijᦪl00lmnopF☢ᑁᱯrcdḄfḄᙶ᪗ᱯs.9.ூ<ᫀ௃Dூ6᪆௃6•.•48஻xyf4(03,2),••.Aஹ8|f}ᙶ᪗~Z2,•••4B=4,.•.BfᙠAfB(—7,2),8fᙠAf8(1,2)nᦑ⌱D.yAஹ8|f}ᙶ᪗48=4,8fᙠAfᡈὅ᪷abBfᙶ᪗.

8⚪ὃ`FXyḄHḄf}ᙶ᪗᪷|flḄcd|fabfḄᙶ᪗.10.ூ<ᫀ௃Cூ6᪆௃6•-DE//BC,
•
DEB=EBC,Z-ADE=/.ABC,Z-AED=ACB,BEFᑖ48C,
••Z.ABE=EBC,
••DBE=DEB.ᡠC-ḄIᐳᨵ5l.ᦑ⌱C.ᑭᵨFḄឋIFᑖḄbI.5¡⚪✌ᐜᑭᵨFḄឋabᑁ┯Iᡈ¤cIᯠ^᪷IFᑖb¥/ᐸ§ḄI.11.ூ<ᫀ௃2-27ூ6᪆௃6•.•22=4,4Ḅ¨©Fª᪷Z2,ᓽ«=2,(—3)3=-27,027ḄAª᪷Z03,ᦑ<ᫀZ:2,-27.᪷¨©Fª᪷ஹAª᪷Ḅb¬¨ᓽ.⚪ὃ¨©Fª᪷ஹAª᪷ᳮ6¨©Fª᪷ஹAª᪷Ḅb®a6<Ḅ¯°.12.ூ<ᫀ௃0-1ூ6᪆௃6••ᐵxஹyª±2x^+1+y2m-n=5²ᐗ0´ª±3-m+1=1,2m—n=1,6¥m=0,n=-1,ᦑ<ᫀZ0,-1.ᑭᵨ²ᐗ0´ª±Ḅb6<ᓽ.µ⚪ὃ`²ᐗ0´ª±Ḅb¶·*+²ᐗ0´ª±Ḅb6⚪Ḅᐵ8.²ᐗ0´ª±Ḅb¸ᨵ|'¹ºᦪ»¼¸ᨵ¹ºᦪḄ⚗Ḅ´ᦪ~1,¾5᪵Ḅª±34²ᐗ0´ª±.13.ூ<ᫀ௃1000

9ூ6᪆௃6᪷⚪¿¥100+(20+200x100%)=1000(ᩩ).<ÄÅÆᜧÈᨵ1000ᩩÄnᦑ<ᫀZ1000.᪷200ᩩÄÉÊËᨵoÌḄÄÍᨵ20ᩩᑣÏ/ËoÌḄÄᡠᓰḄÑᑖÒ᪷ËoÌḄ$¬ᨵ100ᩩᓽÏ¥ÓÆÄḄ$ᩩᦪ.µ⚪ὃ`ᵨ᪵Ô¬$%.*+$%-ËoÌḄÄᡠᓰḄÑᑖÒÈ᪵-ËoÌḄÄᡠᓰḄÑᑖÒ⚪Ḅᐵ8.14.ூ<ᫀ௃520ூ6᪆௃6:"AB//CD,•••/.ABC=Z.1=64°,vBCFᑖ448஺4ABD=2LABC=2x64°=128°,43=180°-^.ABD=180°-128°=52°,•!AB//CD,•1.z2=z3=52".ᦑ<ᫀZ52஺.᪷|HF¤cI¥4BC=/1,᪷IFᑖḄbÏ/4BD,ᯠ^᪷FI180஺Ï/N3,ᑭᵨ|HF¤cIÏ6.⚪ὃ`FḄឋIFᑖḄb¶oឋ»àaáCᳮâC-ᔜIäåæḄᐵL6⚪Ḅᐵ8.15.ூ<ᫀ௃(-6,0)ᡈ(0,3)ூ6᪆௃6ᑖ|çèfPᙠxya+1=0,•••a=—1,a=-12a—4=-6,.•fPḄᙶ᪗Z(-6,0),fPᙠyy2a-4=0,a=2,a=2a+1=3,.•.fìḄᙶ᪗Z(0,3),íᡠîfPḄᙶ᪗Z(06,0)ᡈ(0,3),

10ᦑ<ᫀZ:(-6,0)ᡈ(0,3).ᑖ|çèfPᙠxyfPᙠyyᑖﬨᓽ6<.⚪ὃ`fḄᙶ᪗ᑖ|ç謨6⚪Ḅᐵ8.16.ூ<ᫀ௃4ூ6᪆௃6ð8cªᔣFó¥ᑮADEF,!.AC=DF,AD=CF,•••÷ABCḄᕜùZ17,AB+BC+AC=17,••úûABFDḄᕜùZ25,•••AB+BF+DF+AD=25,ᓽ4B+BC+2CF+AC=25,17+2CF=25,&'CF=4,ᓽFóḄZ4cm.ᦑ<ᫀZ4.ᑭᵨFóḄឋ¥ᑮ4c=஺/AD=CF,FóḄZCýᵫ÷4BCḄᕜùZ17,úûABFDḄᕜùZ23,ᑣᑭᵨÿᣚ
ᑮ17+2CF=23,ᯠCFᓽ.⚪ὃḄឋ!᦮#$%&'(ᔣ*+,
ᑮ-Ḅ!+-!./!Ḅ!01ᜧ34ᐰ678ᔜ:;<=Ḅ'>?(ᡈᐳ')D6E.17.ூGᫀ௃(3,0)(3033,0)ூK᪆௃K᝞ᡠO4Ḅᙶ᪗S(3,0)+TU!
VW4XYZ=A;<=\],2022+4=505”…2,•••=4(-1,2),c(!ḄᕜcS2(1+2)=6,fVW505XYZ=A;<=42022Ḅᙶ᪗S(6X505+4-1,0),ᓽ(3033,0).ᦑGᫀS(3033,0).TU!ᓽ
ᑮVW4XYZ=A;<=\]+ᐜ2022+4Ḅᖪ+klKG⚪.

11⚪ὃᙶ᪗.!mᓄ-op+qrs-=Ḅᙶ᪗Etu+K⚪Ḅᐵwxy,z{qrḄ(|,}~ὃὃ⚪s.18.ூGᫀ௃KV4—V—27—|1—V2|+l3=2-(-3)-(V2-1)+-ஹL3=2+3—V2+1+,=^-V2.ூK᪆௃✌ᐜ(ஹ(1;+ᯠkᔣX+Ḅᓽ.⚪⌕ὃᦪḄ+KG⚪Ḅᐵwx⌕ᙠ?ᦪ+1ᨵᳮᦪ᪵+⌕kᑮ+ᓽᐜ(ஹ(+◀+ᨬ¢£+ᨵ¤¥Ḅ⌕ᐜ¤¥¦☢Ḅ+7⌕ᢥ᯿kᑮḄª«?.19.ூGᫀ௃K:(1)᪵®x1008(2)ᡧ!°“D”ᡠ;<Ḅᡧ!ᙊ²³Ḅ´ᦪx360°x(l-15%-50%-25%)=360.ூK᪆௃(1)᪷¶᪵®Ḅ·¸ᓽKG8(2)ᑭᵨ360஺¼;<Ḅ½ᑖ¿K.⚪ὃᡧ!°À6ᐵ.ᡧ!°&ÁÂ᧜ÄᑖᓰÆ#Ḅ½ᑖ¿ᜧ3+ᙠᡧ!°+ÇÄᑖᓰÆÄᑖḄ½ᑖ¿E~ÈÄᑖᡠ;<Ḅᡧ!ᙊ²³Ḅ´ᦪ.360஺Ḅ¿.20.ூGᫀ௃KপÊ,3x+2y=5@জÌᐭঝ
3%+2(1-%)=5,K
%=3,Ð=3Ìᐭজ
y=1-3=-2,=3ᑣ(Ò:ḄKSy=-2+5y=-4জ3x-4y=5.5ঝ‘জx4+ঝx5
23%=11.5,K
x=3,x=:Ìᐭজ
1+5y=-4,

12K
y=1,ᑣ(Ò:ḄKSÓ=3.ly=-1ூK᪆௃(1)(Ò:ᑭᵨÌᐭÖᐗ|Kᓽ(2)(Ò:ᑭᵨ¢£Öᐗ|Kᓽ.⚪ὃKfᐗX(Ò:+ᑭᵨÖᐗḄØÙ+ÖᐗḄ(|ᨵÌᐭÖᐗ|.¢£Öᐗ|.21.ூGᫀ௃K:(1)•.•X(2,-2V3),8(5,-273),C(5,-V3),D(2,-V3).•••Þßà!4BCOᔣã2½ᓫåc´+ß⚔=Ḅᙶ᪗mS4(2,0),B'(5,0),C'(5,è)+^(2,73)8(2)•1•4(2,-273),B(5,-2V3),C(5,-V3),D(2,-V3)!.AB=5-2=3,AD=-A/3+2½=V5,ßà!ABCDḄ☢êSABxAD=373.ூK᪆௃(1)᪷¶ឋᔜ=Ḅëᙶ᪗¢ã2ìᓽ
Gᫀ8(2)ᐜ᪷¶AஹBஹCஹ஺ß⚔=Ḅᙶ᪗ᑖíABஹAD,᪷¶c(!Ḅ☢êîᓽK.⚪ὃï!Ḅឋ1ᑨ·+ᙶ᪗.!mᓄ-+ᐵwxñòóᙢᵨឋ?.22.ூGᫀ௃1514%ூK᪆௃K(1)õḄÆöᦪx10+20%=50(ö)+ᑣm=50x30%=15(ö)+7n=50=14%-ᦑGᫀx15,14%8(2)(3)úÈûüýþ165cḄ
ᨵ1200X(1-10%-4%)=1032().165c!Ḅ
ᨵ1032.(1)᪷#$%&Ḅᦪ(10,ᡠᓰḄ,ᑖ.(20%,#/ᓽ1234ᦪ5ᯠ7᪷#,ᑖ.Ḅ8

1392:;(2)᪷#(1)ᓽ1<=⊡ᐰ<@A;(3)ᑭᵨ4ᦪDEFGḄ.Hᓽ12:.I⚪ὃLM⚣ᦪᑖO<@AḄPQRᑭᵨSATUVWḄPQ;ᑭᵨSATUVWX5YZ[\]^ஹᑖ᪆ஹẆbSA5cPdefgḄᑨiR:jk⚪.23.ூᫀ௃op:42+4CDB=180°,41+42=180°,•••Z.CDB=Z.1,

.AE//FC-AE//FC,/.Z.CDA+Z-DAE=180°,vZ-DAE=
BCF/.zCD/l+zFCF=180e,:•AD”BC.(2)op4E஻FC,
•
Z.EBC=
BCF,-AD//BC,
•
Z.BCF=
FDA,
DBC=4BDA,r••஺Quᑖᓽ4FD4=
BDA,
•.Z.EBC=
DBC,8cuᑖND8E.ூ:᪆௃(1)v1+v2=180°x42+஽஺஺8=180°,ᑣ/஺஺8=v1,᪷#|}~5

14/.EOF=4COF-COE=90°-COE=90°-45°=45°;¡¡EOFḄ¢ᦪ£45°;ঝuᑖ5ᳮᵫ᝞¨•••OFᑖBOE,!■EOF=FOB=,4EOB,•••OF1CD,/.COF=90°,•••COE+EOF=AAOC+BOF=90°,/.COE=^AOC,ᓽOCuᑖNAOE.(2)©E,ᙠ

15®+2Xঝ3540C+2BOE=270".¯°1±53/40C+2Z.BOE=270஺ᡈZJ1OC+24BOE=270°.ூ:᪆௃পজᐜᑭᵨ~¢ḄR¶ᐵ·23NCOE,᪷#NEOF=90஺-4cOE,13NEOFḄ¢ᦪ;ঝᐜ᪷#~uᑖ94EOF=FOB,ᔠ¹~913;(2)◤⌕ᑖ»5©E,Fᙠ

161116x84-—x8(y—6)——x6x(8—2)——x2y=12,•••y=2(×ᔠ⚪85ØÀ);ঞ©MᙠyÈḄÛÜÈ°X5᝞A3,ÝMdME14஺E,AEàyÈF,vAC=CD=6,.•.ã4CD(Ὺ<~Í~Ç5Z.ADC=ODF=Z.EFM=45°,S=^-AD-EM=12,hADM•••|x6V2xFM=12,EM=2V2,•••FM=4,•••M(0,-6);¯°5MḄᙶ᪗£(0,2)ᡈ(0,-6);(3)ᵫ⚪83PC=2t,OQ=1.5t,
•
BQ=6—1.53ÉÊÇAPOQḄ☢î=6x8-ix6x2t-1x8(6-1.5t)=24,

17..••ÉÊÇAPOQḄ☢îð5(24.(1)᪷#⚪8ᓽ13ᑮ;(2)ᑖÍÎÏÐজ©Mᙠ°X5᝞A1,ঝ©Mᙠ0BḄÑÒ°X5᝞A2,ঞ©Mᙠ)5ÈḄÛÜÈ°X5᝞A3,᪷#=ᑡò13;(3)᪷#☢î¶13.I⚪(ÉÊÇḄ¯ᔠ⚪5ὃLÁᙶ᪗AÇឋô5ËÇḄឋô5Í~ÇRÉÊÇḄ☢îḄÄ5Æ8õᵨᑖ»Ḅö÷(:⚪Ḅᐵ.