2021-2022学年吉林省长春市绿园区七年级（下）期末数学试卷（附答案详解）

《2021-2022学年吉林省长春市绿园区七年级（下）期末数学试卷（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
ᔡ᪍ḕ᧡
ᦪᔁஹ⌱⚪ᜧ⚪ᐳ8⚪ᐳ24.0ᑖ1.ᑡ!"#ᐗ%!"Ḅ'A.^—1=2B.X2+3=%+2C.—X-3=4D.2y—3x=22.()C*+'ᐵ-.yḄ*ᐗ%!"x-2y=/Ḅ01ᑣmḄ3'A.5B.2C.-5D.-23.42x>4,5ijA.x<—2B.x<2C.x>—2D.x>24.4ᐵ-xḄ!"2rn-5x=46x-4=0Ḅ178ᑣmḄ3#A.12B.24C.-24D.-125.ᵨᑡ:;<=>?ᙢABាD?Eᙢ☢Ḅ'A.;G=>B.;I=>C.;=>D.;J=>6.KLABCMAC=NḄOᑡP0KQM;RḄ'A.2B.3C.4D.58.᝞T()UP'LABCḄ=48N0VUAB=6,LABCḄ☢W#12,ᑣCPḄXḄᨬ3'AB

1A.1B.2C.3D.4*ஹZ[⚪ᜧ⚪ᐳ6⚪ᐳ18.0ᑖ9.!"5x+l
=x+lḄ1#.10.()!"]ᑣx—2yḄ3#.11.A4BCḄ^=ᑖ_'2`5,abc=#᜻ᦪᑣbc=#13.᝞TAABC'efgT>2DᡠᙠḄjk'lḄfgeAC=8cm,DC=4cm,ᑣLABCḄᕜ#14.᝞TnZMBCoUCpq┐stuᑮL4'B'C,wqAB'IAC-D,()x4=50஺ᑣNB'CBḄXᦪ'______cஹ1{⚪ᜧ⚪ᐳ10⚪ᐳ78.0ᑖ15.1!"]:16.0<=>Ḅ}0᜜#60஺0<=>Ḅᑁ`.17.TজஹTঝᙳ'6x6Ḅ;!>}0;!>Ḅ⚔Ug#U}0;!>=ᙳ#1,U4ஹ8ஹCஹDᙳᙠUN.ᙠTজஹTঝMᵨXḄjᙠḄMᢥ⌕KTᡠKT>Ḅ⚔UᙳᙠUN⌕ᑏKQ.b2⚓ᐳ16⚓

2TজTঝ(1)ᙠTজMk4B#=K0MfgP=>4BEF.(2)ᙠTঝMkCD#=K0efgc>CDG.(2%-6<018.1]4-x,nlḄ1ᙠᦪeN⊤ᩭlḄᡠᨵ᦮ᦪ(ߟ

3o22.äå◤⌕ᵨçèÂ■êëᢥìí⌕◤⌕#0.8/Ḅçè100᪷#2.5mḄçè32᪷⌕ïᵨᧇñò78aB'óôõᡂḄ.ËçᩞøḄçè}᪷#6nl.(1)Á᪷67nḄçèᨵùïúû!QᕖÚýZᑏ[(þᧇÿ).জ0.86Ḅᵨᧇᨬ᪷.ঝᐜ1᪷2.5mḄᵨᧇᑖᨬ0.8Ḅᵨᧇ᪷.ঞᐜ2᪷2.5mḄᵨᧇᑖᨬ0.8Ḅᵨᧇ᪷.(2)ᵨ(1)!Ḅঝ"ঞᔜ$᪷67nḄ%&'()*ᑮᡠ◤⌕Ḅ/0ᦪ2Ḅᩞᧇ45678᪵ὃ⇋Ḅ<ᵨ(1)!ঝx᪷6mḄ%&ᵨঞy᪷6mḄ%&.ᵫ⚪?ᑡABCD*ᑮE⚪ḄFGHIJ56KLA⊡ᐙO᦮.F<ᵨপ!Ḅঝx᪷6mḄ%&ᵨঞy᪷6mḄ%&᪷R⚪?*23.STUVMNWPQX/ᚖUᚖZ஺\4ᙠ^VOQ_`a\Bᙠ^VOM_`a\4ஹ8ᙳdW\஺eᔠ.01g2ூij௃᝞g1,4mᑖ484஺B/mᑖn4BO.জoNBAO=40°,ᑣn48/=°,ঝᙠ\4ஹBḄ`aLA!n4/BḄᜧ57ᔲstuvᓄ4odvxyn4/8Ḅzᦪ{ovᓄH|6ᳮᵫ.~4⚓ᐳ16⚓

4ூ௃᝞g2,4/mᑖNBA஺஺8\/,BCmᑖn4BM,BCḄᔣV4/ḄV\Dᙠ\4ஹBḄ`aLA!n4஺8Ḅᜧ57ᔲstuvᓄ4odvUᑏyN4DBḄzᦪ{ovᓄUᑏyN4OBḄzᦪḄvᓄ.24.᝞gᙠ4BCD!AB=10cm,BC=6cm,a\P\4yt1cmḄzᢚVATB—C`aᑮ\C{a\Q\Byt2cmḄzᙠBஹC`a\Pᑮ\C\Q¡`a.<\P`aḄ7x()¢APCḄ☢¤7S(cm2)(s>0).(1)\Qᐳ`a.(2)\PᢚVAtBtC`aᵨ¦xḄ§ᦪ¨⊤ªV«BP(BP>0)Ḅ.(3)ᵨ¦¬Ḅ§ᦪ¨⊤ªS.(4)PஹQ\/⍗UᑏyxḄ¯.

5°ᫀ"F᪆1.ூ°ᫀ௃cூF᪆௃F41=27ᑖ¨Aᦑ´⌱⚗dᔠ⚪?{A/+3=¸+2!¦ᨵ»Tᦪ⚗Ḅᨬ¼½ᦪ72,ᡠd7¾ᐗ¾½Aᦑ´⌱⚗dᔠ⚪?{C.-x-3=4Àᔠ¾ᐗ¾½AḄÁÂᦑ´⌱⚗Àᔠ⚪?{D2y-3x=2!¦ᨵûTᦪᡠd7¾ᐗ¾½Aᦑ´⌱⚗dᔠ⚪?.ᦑ⌱C.᪷R¾ᐗ¾½AḄÁÂᑨÅᓽ.´⚪ὃÇȾᐗ¾½AḄÁÂÉ?¦ᨵ¾Ã»TᦪÊËᡠ¦»TᦪḄ⚗Ḅᨬ¼½ᦪ71½Ḅ᦮¨A̾ᐗ¾½A.2.ூ°ᫀ௃CூF᪆௃F.•Î{{7ᐵÐyḄÑᐗ¾½Ax—2y=mḄ¾ÃF1—2x3=m,•••m=—5,ᦑ⌱C.Òt{§ᐭÑᐗ¾½AX-2y=mᓽx?nḄ¯¾´⚪ὃÇÑᐗ¾½AḄFÔÕÖ×Ñᐗ¾½AḄFWÑᐗ¾½AḄᐵØ7F⚪ḄᐵÙ.3.ூ°ᫀ௃AூF᪆௃Fv-2x>4,x<—2.ᦑ⌱A.᪷RdÚ¨ḄឋÜKdÚ¨-2x>4ḄÞ◀-2,xyxḄà¯ᓽ.á⚪â⌕ὃÇÈdÚ¨ḄឋÜF°á⚪ḄᐵÙ7⌕6ãä1dÚ¨ḄÞ_äᡈæçè¾Ãᦪᡈ¾Ã¦ᨵéêḄ¨ëdÚìḄᔣdv{ä2dÚ¨ḄÞíäᡈ◀è¾ÃîᦪdÚìḄᔣdvä3dÚ¨ḄÞíäᡈ◀è¾Ãï~6⚓ᐳ16⚓

6ᦪdÚìḄᔣᦋv.4.ூ°ᫀ௃AூF᪆௃Fx-4=0,F*x=4,ñA2nl-5x=4Wx—4=0ḄF/•••x=47A2nl-5%=4ḄF•••2m—20=4,•••m=12,ᦑ⌱A.ᐜxyA4=0ḄFòÒ¬=4§ᐭA2m—5x=4,ᓽxmḄ¯.´⚪ὃǾᐗ¾½AḄFÔÕÖ×¾ᐗ¾½AḄFᳮFFAḄÁÂ7F⚪ḄᐵÙ.5.ூ°ᫀ௃BூF᪆௃F•••ᵨ¾óîÞ╨õᨵîö÷îøÞîùÞöóîÞ╨õᡂ¾Ãm☢gᫀᵨ¾óîÞûᙢýា)ûÿᙢ☢Ḅ.ᦑ⌱B.☢╨Ḅᩩᑨᔲ╨⌕ᙠ⚔!ᜐḄ#$%ᔲ᪀ᡂᕜ%.)᪀ᡂ360஺ᑣ,-./☢╨012ᑣ3.4⚪6⌕ὃ89☢╨ᵨ;╨ᨵ=%>=;╨ᡂ$☢ᫀ.6.ூBᫀ௃CூD᪆FDᵫ=%ḄHIḄJKC⌱⚗⊤NOABCP4cQḄH.ᦑ⌱C.᪷S=%ḄHIḄJKT=%Ḅ$⚔!ᔣVWᚖI⚔!YᚖZ2[Ḅ\]^_=%ḄHVᔜ⌱⚗ᑨᓽb.c⚪ὃ89=%Ḅ%ᑖIஹPIfHghJKijklD⚪Ḅᐵn.7.ூBᫀ௃D

7ூD᪆௃DPP'=4-(-1)=5,ᓽ!PyḄ\]PP'z5.ᦑ⌱D.᪷SyḄឋ|b}PP'ᓽzᦪQV!yḄ\]DB.c⚪ὃ89yḄឋ|fᦪQ!Ḅ\]6⌕ᑭᵨ9yV!ᡠḄID⚪.8.ூBᫀ௃DூD᪆௃Dᵫ⚪b}CP_L4BCPᨬ.•.•=%BCḄ☢z12,1-AB-CP=12,2D}CP=4,ᦑ⌱D.ᵫ⚪b}CP148CPᨬ.᪷S=%☢12,bCPḄ.c⚪ὃ89=%Ḅ☢ᚖIᨬᐵnCP1ABCPᨬ᪷S☢}CPḄ¢.9.ூBᫀ௃x=-1ூD᪆௃D¥¦§}5x+5=x+l,y⚗}5x—%=1—5,ᔠi⚗}4%=-4,®ᦪᓄz1}x=-l.ᦑBᫀzx=-l.¥¦§y⚗ᔠi⚗®ᦪᓄz1ᓽbD.c⚪ὃ8Dᐗ±²³D⚪ᐵng´Dᐗ±²³Ḅµ¶.10.ூBᫀ௃4ூD᪆௃D:¹-d+y=1(2)জ—ঝ}x—2y=4.ᦑBᫀz4.¾8⚓ᐳ16⚓

8¾$²³Á¾Â$²³ᓽb}ÃÄ.c⚪ὃ8DÂᐗ±²³ÅD⚪ᐵn᪷SÆ´²³f⌕Çᦪᱯ!⌱Éᔠ〉Ḅ²Ë./ÌÍ.11.ூBᫀ௃5ூD᪆௃DT5-2=3,5+2=7,•••3ξ=Ï7,•••¾=z᜻ᦪ¾=z5.ᦑ⌱5.ᐜ᪷S=%ḄÒ2fᜧÔ¾=Ò2ÕÔ¾=¾=!ḄÖ¢Ø⌱É᜻ᦪᓽb.4⚪ὃ89=%Ḅ=ᐵ®.ᑨᔲÅᡂ=%ḄÙÚ²ËÛḄ$ᦪḄfᔲᜧÔ¾=$ᦪ.12.ூBᫀ௃6ூD᪆௃Dᵫ⚪b´Pᨵ8$ᐰḄÝᡠÞAF=44D+4BC=4xO.5+4x1=6,ᦑBᫀz6.ᵫ´ᡠNḄᫀᵫÝ4BCDfß$YàᐰḄÝáâᡂ᪷SᐰḄឋ|ᨵ4F=44D+4BC=4x0.5+4x1=6.ὃ89ᐰḄឋ|c⚪ᑭᵨ9ᐰJãᔠḄឋ|D_⚪ḄᐵnäåãᔠḄV.13.ூBᫀ௃24cmூD᪆௃D••4஺OABCḄVæ:.BD=CD=4cm,BC=BD+CD=8cmAB=AC-8cm,ABCḄᕜz=AB+AC+BC=24cm.ᦑBᫀz24cm.᪷SVæḄឋ|AB=AC,BD=CD,8cḄ.â=%Ḅᕜ.

9c⚪ὃ8VæḄឋ|YçᵨV!ḄIYVæḄèéᐵ®åᚖêV!ᡠḄIëVæᚖêᑖVæQḄÒì!ᑮ$V!2[Ḅ\]VḄ%ஹIî.14.ூBᫀ௃40ூD᪆௃D••ïAABCð!Cñ┐óô}ᑮO4'B'C,Z.A=NA=50°,4B'CB=/.A'CA■A'B'1AC•••+LA'CA=90°A/.A'CA=40°•••B'CB=40°ᦑBᫀz40.ᵫóôḄឋ|b}஻=NA=50஺B'CB=LA'CA,ᵫê%=%Ḅឋ|bAA'CA=400=AB'CB.c⚪ὃ89óôḄឋ|g÷çᵨóôḄឋ|c⚪Ḅᐵn.15.ூBᫀ௃D(3x-2y=4ঝজx2}2x+2y=6ঞঞ+ঝ}5x=10,D}x=2,ïx=2Çᐭজ}2+y=3,D}y=1,•••²³ÅḄDcz:.ூD᪆௃þ²³x+y=3ÿ22x+2y=6,ᯠᵨᐗᓽ.⚪ὃᐗ!"Ḅ$%&'ᐭᐗ$ᐜ*+!,-ᵨ+./⊤12+./$ᯠ'ᐭ2+!345ᦪ7%&ᐗ$89+!Ḅ9:ᑖ<=ᡈ=3+45ᦪḄ?@ᐗ.16.ூᫀ௃EFG+H:IJn:I$L460஺xn=360஺$n=6.%10⚓$ᐳ16⚓

10G+H:IḄᑁTUV(6-2)x180஺=720஺.EG+H:IḄᑁTUV720஺.ூ᪆௃ᵫ+H:IḄ^+᜜T`ab60஺$᪷dn:IḄ᜜TUV360஺efgH:IḄ:ᦪn,ᯠ᪷dn:IḄᑁTUhᳮefᓽ.⚪ὃH:IḄᑁTU᜜T,n:IḄᑁTUhᳮ:n:IḄᑁTU=(n-2)-180°7lmnon:IḄ᜜TUV360஺.17.ூᫀ௃E(1)᝞qজ-$s:I4BEFᓽVᡠx;ফ᝞qঝ-$ACDGᓽVᡠx.ூ᪆௃(1)@+s:Iᓽ(ᫀ);(2)@+aῪTIᓽ.⚪ὃ@q-ᣚ$ᣚa5$⚪ḄᐵJᣚ$ᣚḄឋ$b-ὃὃ⚪.(2x-6<0জ18.ூᫀ௃Ea"E4-x<aজ$x<3,aঝ$x>1$ᑣa"ḄV1S3,ᙠᦪ⊤1VE...............-5-4-3-2-1012345•ᡠᨵḄ᦮ᦪVE2,3.ᡠᨵḄ᦮ᦪḄUVE2+3=5.ூ᪆௃ᑖ

11"$⚪ḄᐵJª¦ᐗa"Ḅ.19.ூᫀ௃EvANC=NB+BAN,•••BAN=ANC-B=80°-50°=30°,•••ANJNB4CTᑖ«$•••ABAC=2BAN=60°,ᙠ¬ABC-$ZC=180°-Z.5-Z.BAC=70°.ூ᪆௃᪷dTI᜜TḄឋ$Tᑖ«Ḅh®TIḄᑁTUhᳮᓽᑮ°±.²⚪³⌕ὃTI᜜TḄឋ$Tᑖ«Ḅh$ᐵJTIḄ+᜜TabUµ=¶Ḅ9+ᑁTḄU.20.ூᫀ௃EF·¸¹º»¼½Jxᓟ¿$ᑣᩖÁ¹ºḄ»¼½J1.8xᓟ¿$᪷d⚪mE20x+20X1.8%=33600,—600,ᩖÁ¹ºḄ»¼½J1.8x=1.8x600=1080(ᓟ¿)$EᩖÁ¹ºḄ»¼½J1080ᓟ¿.ூ᪆௃F·¸¹º»¼½J%ᓟ¿$ᑣᩖÁ¹ºḄ»¼½JL8xᓟ¿$᪷d9ᙽÆÇᵪᓫᐳᦈ˹º33600ᓟ¿E20x+20x1.8%=33600,ᓽx=600,*Ìᑮᫀ.⚪ὃ!ḄÍᵨ$⚪ḄᐵJÎÏ⚪m$£ga½ᐵÐᑡ!.21.ூᫀ௃2n4ூ᪆௃Eপজ••ÓCUÓPᐵb04ÔÕ$•••Z.AOC=Z.AOP,•••ÓPᐵbOBÔÕÓJD,•••Z.BOD=Z.BOP,.COD=/.AOC+Z.AOP+BOP+BOD=2(/4OP+BOP)=2AOB%12⚓$ᐳ16⚓

12=2x60°=120°7ঝ••ÓCUÓPᐵb04ÔÕ$•Z-AOC=Z.AOP,•ÓPᐵb஺8ÔÕÓJD,•Z.BOD=BOP,•COP=Z.AOC+Z.AOP+BOP+BOD=2(44OP+480P)=2/.AOB=2n°,ᦑᫀVE2n7(2)•••ÓCUÓPᐵb஺4ÔÕ$.CM=PM,•••ÓPᐵb஺BÔÕÓJ஺$DN=PN,•••CD=4,•••CM+MN+DN=4,■■■PM+MN+PN=4,ᓽḄᕜØV4,ᦑᫀVE4.প᪷dÔÕḄឋ$5NA0C=N40P,LBOD=£BOP,xg4CODḄÙᦪ7(2)᪷dÔÕḄឋ$5CM=PM,DN=PN,᪷dᕜØhxgḄᕜØ.⚪ὃÔÕḄឋÚᵨ$ÔÍÓḄÛ«ÚÔÕḄÜÝᐵÐJÞ=ᚖà$ÔÍÓᡠÛḄ«áâÔÕᚖàᑖ$ÔÕḄãäÓᑮ9+ÔÍÓ¨åḄæç=a$ÔÍḄTஹ«á`=a.22.ூᫀ௃741ூ᪆௃E(1)জ6+0.8=7...0.4,è²,éêëØV0.8ìḄᵨᧇî$ᨬHë7᪷7ঝ(6—2.5)+0.8=4...0.3,è²,ᐜëð1᪷2.5mḄᵨᧇî$ñð¥ᑖᨬHòë0.8mØḄᵨᧇ4᪷7

13ঞ(6—2.5x2)+0.8=1...0.2,è²,ᐜëð2᪷2.56Ḅᵨᧇî$ñð¥ᑖᨬHòë0.8ìØḄᵨᧇ1᪷7ᦑᫀVE7,4,17(2)ᵫ⚪m$(x+2y=321.4%+y=100$:(7E44-Eᵨঝë24᪷$ঞêë4᪷6mØḄôõ.(1)ᵫöᦪ+^÷ᦪ=÷ᦪøàùg°±7(2)ᵨঝëx᪷$ঞêëy᪷6mØḄôõ$øᨵÂ+2y=32,4x+y=100,ᵫ²᪀ᡂ!"xgᐸᓽ.⚪ὃᐗ!"ḄÍᵨ$£ýa½ᐵÐ$þ¦ᑡgᐗ!"J⚪Ḅᐵ.23.ூᫀ௃25ூ᪆௃Eூÿ௃জMNIPQ,Z.AOB=90°,•••Z.BAO=40°,^ABO=90°-^BAO=50°,vB/ᑖUB஺•••"B/=*B஺=25°ᦑᫀ25ঝZ.AIB=135°.•••2/ᑖ/BAO,ᑖN4B0,OBI=4ABI=-^OBA,4஺4/=4BAI=-/.OAB,221iiABIC=180°IBA-Z-IAB=180°--Z.OBA--Z-OAB=180°+ii^OAB)=180஺-3(180஺/BOA)=180஺-90஺+54BO/,•MNPQᚖᚖ0,:.^AOB=90°,•/-MB=90஺+x90°=135°.214⚓ᐳ16⚓

14ூ%&௃/-ADB=45°,ᳮᵫ᝞*:•.•4/ᑖNBA஺BCᑖN4BM,Z.CBA=-/.MBA,Z.BAI=-Z.BAO,22•Z.CBA=Z,ADB+/.BAD.Z.AOB=90°,^ADB=/.CBA-/.BAD=-/.MBA--/.BAO=-(^MBA-Z.BAO)J=-/.AOB="x222'2290°=45°,,-4ஹBᙠ01Ḅ345^ADB=45°.ூ6௃জᐜᑭᵨ:;:<=>┦:@ABNOB4Cᑭᵨ:ᑖḄDEABF48/ᓽH;ঝᳮᵫজJKூ%&௃ᑭᵨ;:<Ḅ᜜:ABN4BM,Cᑭᵨ:ᑖḄDEAB/ABCMNBAD1ᓽHHNF4DB=3F4OB.O⚪ὃRS;:<ᑁ:MDᳮ:ᑖḄDEUV;:<ᑁ:MDᳮ:ᑖḄDEWXᑖJYZḄᦪ\]^_`⚪Ḅᐵb.24.ூᫀ௃16ூ`᪆௃`(1)-Q01fg(10+6)+1=16(h)ᦑᫀ16.(2)`j0

15x=14jPQ;n⍗f᪷q⚪rN%—104-2%—5X6=6,46lkjᡈ14ᡈTfpஹQ=-⍗.(1)᪷q-Q01fg-P01fgtAB-P01fgᓽHN-Q01fg(2)ᑖMuv:j0<%<10f,j10Wx<16f,ᑖxA`ᓽH(3)ᑖ=Muvj0