2022-2023学年北京市东城区七年级上册数学期末试卷（一）含解析

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2022-2023
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1Bஹ2/-3/=—%ᔠ⚪«Cஹ°2b4஻ªᨵ0Aூᑖ᪆௃᪷¡ᦪ¸Ḅ34¦Ê஺<°

2ᦑ⌱B.F,Ï⚪ªᨵö⌕᪷¡ðᳮ÷⌕ὶW[ù·▭ûüKýḄþᵨḄÿ
.6.ᑡᵨN1ஹ⊤Ḅ()C.ூᑖ᪆௃᪷"Ḅ⊤⌲⚗ᑨ&ᓽ().ூ*+௃AஹNlஹ,-ᨵ/⚗-ᨵ0⚪2;BஹᵨNlஹNAOBஹN°⊤/⚗0ᔠ⚪25CஹNlஹ,N0-ᨵ/⚗-ᨵ0⚪25DஹN1ஹ4406ஹN°ᑖ6⊤-ᨵḄ/⚗-ᨵ0⚪2;ᦑ⌱9B.:⚪ὃ<=>?@AḄ⊤+⚪ᐵC.7.᝞EFᢥ-ᨵḄHI᤮K᤮KHIḄḄᦪ()Cூᑖ᪆௃᪷"MN()N0=45஺PQ()Na=45஺5᪷"RS⊡ḄឋV()WXஹWNa=/|3,WNaSY⊡.ூ*+௃᪷"ḄSZᐵ[()Na=Np=45஺᪷"\Ḅ⊡]\()WXNa=N0,3

3WNa+N|3=18O஺-ᨵ]\᪷"ḄR]\()W/a=/p,j/Na=/|3Ḅᦪᐳᨵ3ᦑ⌱9C./⚪m⌕ὃ<=RS⊡ᐵC@ARS⊡ḄឋV9\Ḅ⊡]\.\ḄR]\.8.opqrstuvᙠxyxz{|=}~ᨵḄᦪ⚪ᐸᨵ⚪9ᨵrᐳX5Xrᐳrrᔜ⍝⚪Ḅ29ᨵrrᨬᒕR2,2rᐳᨬᒕR9r(,ᨵ~¡r~¡᝞¢ᡃ¤¥ᨵx,ᑣ(ᑡ¨©ªA.3(x-2)=2%+9B.3(x+2)=2x-9xx-9xx+9C.3+2=2D.3-2=2Aூᑖ᪆௃᪷"rᨬᒕR22rᐳᨬᒕR9r(PQ⊤¯°rᦪ)¯\±ᓽ(.ூ*+௃+9¥ᨵxᑣ(ᑡ¨93©x-2ª=2x4-9.ᦑ⌱9A./⚪m⌕ὃ<=ᵫ´▭⚪¶·¯ᐗ¨¹º⊤°rᦪ+⚪ᐵC.9.᝞»¼AB=10cm,ÀCÁ»¼ABÂÀBC=3cm,ÀD,Eᑖ6ÁACSABḄÀᑣ»¼DEḄÅÁ©ªAD~F.CB3_j_—A.2B.1C.2D.2Cூᑖ᪆௃᪷"»¼ḄSZ()ACḄÅ᪷"»¼ÀḄឋV()ADஹAEḄÅ᪷"»¼ḄSZ()DEḄÅ.ூ*+௃ᵫ»¼ḄSZ)AC=AB-BC=10-3=7cm,4

4ᵫÀDACḄÀJ_J_7ᡠÊAD=2AC=2X7=2cm5ᵫÀEABḄÀ)AE=2AB=2X10=5cm,ᵫ»¼ḄSZ)7_3DE=AE-AD=5-22cm.ᦑ⌱C.:⚪ὃ<=ÍÀÎḄÏÐ+⚪ḄᐵCᑭᵨ»¼ḄSZ»¼ÀḄឋV.10.Ò¯ÊÓᓄḄÕÖᑣW101×⁐¹ḄᦪÙ()■,an1^1'0(1)(2)(3)(4)(5)A.149B.150C.151D.152Dூᑖ᪆௃ÛÜÝÞßàÒᑮÕÖᯠãᑭᵨÒᑮḄÕÖᓽ()ᑮäᫀ.nூ*+௃9çnÁᏔᦪéWn×⁐¹ḄᦪÙÁn+39n+1çnÁ᜻ᦪéWn×⁐¹ḄᦪÙÁn+2Xçn=101é×⁐¹ḄᦪÁ101+51=152.ᦑ⌱D.:⚪ὃ<=ḄÓᓄë⚪+⚪ḄᐵCÛÜḄÝÞß¹ºḄÒᑮÕÖ.ஹ⚪(ᐳ10⚪⚪2ᑖᐳ20ᑖ)11.-5ab2Ḅ[ᦪ____,íᦪ_____.জ.-5,ঝ.3ூᑖ᪆௃᪷"ᓫ⚗±Ḅ[ᦪSíᦪḄᭆòᓽ()¯äᫀ.5

5ூ*+௃+9ᓫ⚗±-5ab2Ḅ[ᦪ-5,íᦪ3,1_ᦑ-2,3.:⚪m⌕ὃ<ᓫ⚗±ḄíᦪS[ᦪ@Aᓫ⚗±ḄíᦪS[ᦪ+⚪ḄᐵC.12.óôqᦪ±2xDyḄõöᑣqᦪ±6x3yLMḄõ5-25÷—ூ*+௃+9ù±=-32x—y
—1=-3x2—1=-2.:⚪ὃ<᦮ûüý+.13.ᑏ¯2x5ë⚗Ḅᓫ⚗±Á____.©äᫀ-ᨵªூ*+௃ë⚗ᢣᡠ
ḄᢣᦪḄ⚗,ᡠ2/⚗Ḅᓫ⚗ுᫀᨵᦑᫀᫀᨵ.214.᝞!"#$ᓫ%!m
,▢'(ᑖḄ☢+n?ூᑖ᪆௃▢'(ᑖḄ☢+012Ḅ#34Ḅ☢+-67(ᑖ#34Ḅ☢+89:;ᓽ0.ூ=;௃;!ᵫ⚪@A!S▢'(ᑖ=C+5C+4
-5x=x2+9x+20-5x=x2+4x+20m2ᦑx2+4x+20.6

6E⚪F⌕ὃIᑡKᦪ;⚪ḄᐵMᳮ;OP⚪@QᑮSTᐵU.15.XNl=35°21',ᑣN1Ḅ`a.54°39'ூ=;௃;!᪷8`aḄefZ1Ḅ`a$ᦪ90°-35°21,=54°39,,ᦑ54஺39'.16.ᐵkxḄ3m2x+m=l—xḄ;x=-2,ᑣ᪷Ḅp.7ூᑖ᪆௃rx=-2Kᐭ2x+m=l—x,tuᓽ0:;.ூ=;௃!ᐵkxḄ3m2x+"?=l-xḄ;x=-2,...2x(-2)+஻{=l-(-2),;A!m=7,ᦑᫀ!7.E⚪F⌕ὃIᐗ3mḄ;}~ᐗ3mḄ;Ḅef;⚪ḄᐵM.17.᝞Aஹ0ஹBᙠᩩzAOC=140°,0DNBOCḄᑖᑣNC0D=20ூ=;௃;!,.NAOC4B0C⊡a.-.ZAOC+ZBOC=180°,vZ.AOC=140°,..ZBOC=180°J140°=40°,0Dᑖ4BOC,NC0D=±NC0B=20஺•L.ᦑᫀ20.18.᝞ᙠᛞOᜐᑮ/%kᓅ¡54°Ḅ3ᔣ£8ᙠᓭ¥15°Ḅ37

7ூᑖ᪆௃✌ᐜ¨©ª43Ḅ$ᦪ«¨©4A0BḄ$ᦪᓽ0.ூ=;௃;!ᵫ⚪@A!Zl=54°,N2=15°,•,.Z3=900-54°=36°,AZAOB=36a+90°+15°=141°.E⚪ὃI¬3ᔣa}~aḄ@f;⚪ᐵM.19.ᢥ®ᑡ¯Ḅm°¨©X±²³ᐭḄp´µ6,ᑣ³ªḄ¶·…”Ḅ58

8E⚪ὃIḄ¸¹Kᦪ:p;E⚪ḄᐵMº»OP⚪¼ªḄ¨©m°.20.½K¾¿ÀᙠtÁᑖᦪ©£ÃÄᵨᑖÆ1ḄᑖᦪÇ9ÈÉᑖᦪÊ˾¿ᑖᦪ.ᡃ711-=-1-ÍÎ@ᑮÏÐÑᑖᦪាÓ0ᑏᡂÖ×¾¿ᑖᦪḄØÙ᝞.123411(1)ÚÛ30ᑏᡂÖ×¾¿ᑖᦪḄØḄ4Ü13(2)XÑᑖᦪx0ᑏᡂÖ×¾¿ᑖᦪØḄ4ÚᑏªÖ×xᨵḄÝp_________.11ᓝজ.56ঝ.36,42-11=-5-+-6=-11-1ூ=;௃(1)303056.11+ᦑᫀ56Ü(2)13=1+12=2+11=3+10=4+9=5+8=6+7,x=12ᡈ22ᡈ30ᡈ36ᡈ40ᡈ42,ᦑᫀ36,42(Ã⌕ãᔠ⚪@ᓽ0).E⚪ὃI¬ᑖᦪḄåEឋçᑖᦪḄèéêS;⚪ḄᐵMrᑖëᡂÖ×ᦪḄ+uÈÖ×ᦪḄØាÓSkᑖÆ.ìஹ;⚪(E⚪ᐳ39ᑖ)21.¨©⚪:(1)10µ(µ5)+(µ9)+6Ü(2)□l4D5x[2n(C3)2];5/6ஹ2ஹ6ஹ17-2+(-7)X(-T)+(-T)XV(3)5353.(1)12;(2)34;(3)-8.ூ=;௃÷⚪ᑖ᪆!(1)᪷8ᨵᳮᦪḄèéêêᑣᢥ©ø°tÁ¨©ᓽ0;(2)ᐜ¨©ù3ᯠû«ᢥ©ø°tÁ¨©ᓽ0Ü(3)ᐜ⌮ᵨùêᑖýþÿᓄ
ᯠ
ᓽ.⚪᪆(1)=10+59+6=12;(2)=15"(29)=1+35=34;9

92+1Z%3&=5I33J-2-6.==822.ᐜᓄ,-.:0+2“ு4%3f+2ᔩ,ᐸ6°8Ḅ:᦮ᦪ.-3/+34஻-13?—50ூᑖ᪆௃ᐜDEFஹᔠIJK⚗ᓄMN஺Ḅ.PᐭᓄMḄRSᓽ.ூT௃=5/+2a—l—12+32a—8/=-3a2+34a-13?WXa8Ḅ:᦮ᦪᡠZ஺[-1,\a=T^,=-3X-1
2+34X-1
-13=-50_⚪ὃab᦮Ḅcdᔠ
ePᦪ-.fgh_⚪ijklm᦮Ḅcdᔠ
ᑣ8⚪Ḅᐵp.23.qrᡈqrt3x-l5x-7t(1)2(2x+l)-(3x—4)=2?(2)463x+4y=2,2x-y=5.x=2f1
x=-4?%2&x=-l%&B=T-;3ூT௃⚪ᑖ᪆%1&ᢥDEFஹ{⚗ஹᔠIJK⚗Ḅ|}-ᓽ?%2&ᢥDᑖ~ஹDEFஹ{⚗ஹᔠIJK⚗ஹᦪᓄX1Ḅ|}-ᓽ;%3&ᵨPᐭ-ᓽ.⚪᪆%1&DEF4x+2—3x+4=2,4x-3x=2-4-2x=-4.3x-l5x-7.-------------=1ফ463%3x-l&-2%5x-7&=12Dᑖ~:10

10DEF9X-3-10X+14=12,{⚗9x-10x=12+3-14,ᔠIJK⚗X=1,ᦪᓄX1=1?3x+4y=2জব(2-=5ঝᵫঝ2X-5ঞঞPᐭজ=2,=2Pᐭঞy=-Lx=2<qrtḄXU=T.24.⚪:(1)᝞1,ᙠ☢ᑁᨵᨵᐳḄ3A,B,C.(a)AB,AC,BC;(b)¡¢BCᑮD,¥CD=BC,¦§AD;(c)ABḄ6E,¦§CE;(d)«¬CEeADḄ¢§ᑏ¯[ὅ±²Ḅᦪ¬ᐵ(2)ᨵ5ᜧ´᪵Ḅ¶q·ᑴᡂ᝞2ᡠºḄ»§·(▢½¾ᑖ)¿Àᙠ6Ḅ»§·Á§¶q·¥Â»§ᡂḄ·ᢚÄÅᡂXÆÇḄ¶qÈÉR.ÊËÌ◤ÎcÏᔠ⌕-Ḅ¶q·Iᵨ▢½⊤º.4B.12ÒᫀᶍூT௃⚪ᑖ᪆(1)ᢥ⌕-Õ«¬¯CEஹADḄ¢ᓽ;(2)᪷׶qÈØÙḄ11Ú·Îcᓽ.⚪᪆(1)᝞ᡠº11

11AD=2CE;25.᝞ᡠº4O,6ᙠJᩩÁN8OC=40°,OC_LQD,0EᑖN40CNDOEḄᜧ´.160°.ூT௃⚪ᑖ᪆ᐜ-¯4OCḄᦪ᪷×ÜᑖḄÝÞ-¯ß⚗?஺ḄᦪᵫOC1஺஺-¯4CODḄᦪᵫ4DOE=4DOC+4COEᓽ.⚪᪆••N6OC=40஺:.ZJOC=1800-zBOC=140°,vOEᑖß4஺஺ZEOC=24Aoe=70஺VOC_L஺஺4c00=90஺12

12•••ßDQE=4DOC+4cOE=160஺._⚪ὃabÜᑖḄÝÞஹᚖḄÝÞã·¶äᙢᑖ᪆8⚪Ḅᐵp.26.ᙠæqrkç^èçᔁ6ᨵqr“2ᡝë=ëì■”6Ḅ■ᓺðᨎ´òóὁõὁõÌ8ö“■8ᨵᳮᦪøqrḄù\2^Pᦪ5(A1)-2(A2)-4Ḅ.úJ.”´òûü⊡Ábþÿᦪ.⊡ᦪᔩ᪆ூᑖ᪆௃x=2ᐭᦪ5(x-l)-2(x-2)-4,“2y-2=2y+■”Ḅy,ᐭ■.ூ!௃"5(x-l)-2(x-2)-4=3x-5,#x=2%,3x-5=3x2-5=l,'.y=l.y=lᐭ2y—)=5y+■*+2x1—2=2X1+B,'.=Lᓽᦪ.1.᪷0⚪2ᐜy,4■5678ᦪ98ᐭ:;Ḅ78ᦪ*<78ᦪ=ᓄ.?8ᦪ@ABCD78EᦪḄ:;FG78EᦪḄ:;78ᦪEᦪH⚪:IJKLMEᦪINᦪ*ḄOP⌕:IRSᙠUᦪḄV*4ᜧXᵨᑮH:I.[ஹᑡ:;ᡈ:;_`ᵨ⚪(b27⚪5ᑖb28⚪6ᑖᐳ11ᑖ)27.klmᢥRopMᦈrsᨴ᯼vw:ᵨ᯼v᝞z{ᨵ}G60C:~ᢥsC:~0.8ᐗᦈw'᝞z}G60C:~}GᑖᢥsC:~1.2ᐗᦈw?8kᵨᡝ10ᨴḄ᯼vw.66ᐗᵨᡝ10ᨴ<ᵨ᯼vC:~ᵨᡝ1()ᨴ<ᵨ᯼v75C:~.ூ!௃⚪ᑖ᪆"10ᨴ᯼vw.66ᐗ66>60X0.8,᯼vOM}G60C:~XᐵE."60X0.8+}G60~ḄC:ᦪXI.2=66,ᐵᦪᐭᓽ+ᡠᵨ᯼vḄC:~ᦪ.⚪᪆"ᵨᡝ10ᨴ<ᵨ᯼vxC:~᪷0⚪2ᑡ:;+13

1360x0.8+1.2x-60=66,:;+-75,"ᵨᡝ10ᨴ<ᵨ᯼v75C:~.⚪ὃᵨOᐗ:;▭⚪ᑨ᯼vXᙠ60C:~RN⚪Ḅẚ¡"+ᑮ᯼vwḄXᐵEN⚪Ḅᐵ¢.28..£¤᪥¦§ᳫ©ªk«l¬[᪥Mὶᔠ¯°Oᢇ§ᳫ©ª²ᜓm´£µᵬஹ·¸ᖪ´R᪵Ḅ»¼½H¾¿Ḅ§ᳫÀÁ§ᳫ98sᝅÀÁÄs§ᳫ50ᐗ¸ᝅÀÁÅƧᳫḄwᵨÇÈÉᵬᖪ´ÊËN"s¯°ᓝᝅÀÁ〈O§ᳫ·ᖪ´ÊËN"ί°ÀÁ}G80ᝅᑣ¯°§ᳫᡭÑᢚ.0sᝅÀÁÂs§ᳫḄ»¼NQÎl¬[᪥ὶᔠ¯°100ᝅÀÁÂR°>10§ᳫÖᵨ×aḄᑖØ⊤Úᑮᵬᖪ´Â·ᖪ´¯°²ᜓᡠÛḄwᵨ'*ᙠ°ḄᩩÞoÎ஺=60,Ꮇ᝞NᯰâãḄäåæç.ᑮᵬஹ·èéᖪ´¯°Äêᔠë1sᝅÀÁ150ᐗs§ᳫ100ᐗ'2ᑮᵬᖪ´¯°ᡠÛḄwᵨ."100஻+14000,ᑮ·ᖪ´¯°ᡠÛḄwᵨ."80.+15000'3¯°Ḅ§ᳫᦪï50%ᑣᙠ¸éᖪ´¯°O᪵ᔠë"¯°Ḅ§ᳫᦪï50%ᑣᑮ·ᖪ´¯°ᔠë'¯°Ḅ§ᳫᦪï50%ᑣᑮᵬᖪ´¯°ᔠë.ூᑖ᪆௃1s§ᳫḄM»NxᐗᑣsᝅÀÁNG+50ᐗ᪷0¸ᝅÀÁÅƧᳫḄwᵨᑡ:;:;ᓽ"2᪷0ᵬஹ·¸ᖪ´ḄÊËᓽ'3ᐜᑮ¸éᖪ´¯°O᪵ᔠë%§ᳫḄᦪ᪷0⚪2ᓽ.ூ!௃"1s§ᳫḄM»NxᐗᑣsᝅÀÁNx+50ᐗ᪷0⚪2+2x+50=3xf+x=100,x+50=150."sᝅÀÁ150ᐗs§ᳫ100ᐗ'1002ᑮᵬᖪ´¯°ᡠÛḄwᵨ."150x100+100a-10=100a+14000ᐗᑮ·ᖪ´¯°ᡠÛḄwᵨ."150x100+0.8x100«a=80a+15000ᐗ"14

14(3)100a+14000=80a+15000,+a=5O.ᡠR¯°Ḅ§ᳫᦪï50%ᑣᙠ¸éᖪ´¯°O᪵ᔠë;100a+14000>80a+15000,+஺>50,¯°Ḅ§ᳫᦪï50%ᑣᑮ·ᖪ´¯°ᔠë'100a+14000<80a+15000,+஻<50,¯°Ḅ§ᳫᦪï50%ᑣᑮᵬᖪ´¯°ᔠë.`ᑮ·ᖪõ¯°Äêᔠë.15