2021-2022学年广西桂林市七年级（下）期末数学试卷（附答案详解）

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2021-2022
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ᦪᔁ1.816ḄᨬᜧᦪA.2B.4C.8D.162.#24$%ᝍ'ᙠᓅ*+,-./0ᓅ*1234./567%7ᝍ8'Ḅ9.ᑡ4;<=>$%ᝍ'Ḅ?ᑖ<᪗0BCDEF<=Ḅ4.ᵬஹIஹJஹK>LMNOPQ0RL10TOPᡂVḄWᙳᦪY9.1[0\]ᑖ^_=0.63,Sd=0.58,S%=0.49,S%=0.46,ᑣOPᡂVᨬhiḄA.ᵬB.IC.JD.T5.k\l2x+y=3ᦋᑏᡂᵨsxḄtᦪu⊤wyḄ=uxA.y=2%+3B.y=2%—3C.y=—2x+3D.y=-2x—36.ᑡᔜu0{|ᑮ~Ḅ=0BCuᑖḄA.a(m+)=am+anB.a2—b2—c2=(a+h)(a—b)—c2C.2x2—x=x(2x—1)D.x2—16+6x=(x4-4)(%—4)4-6%7.᝞<0m஻cᡠ0ᑡᩩᑨa஻bḄ()

1A.42=z.6B.43+45=180°C.z3=z6D.z.1=z48.23ḄA.a3b6B.ab6C.a3b5D.a4b59.᝞<0¡¢ᢝ¤ᐝ¦᯿ᔣᙢ☢0¤ᐝ¦«¬ḄᐝCO_ᙢ☢A8=ᡂ®¯;°,±NBOC=5஻OC,ᑣU0CḄ³ᦪBA.30஺B.60°C.120°D.150"10.¶·/+6x+?n2;»ᐰW\u0ᑣ½Ḅ¾A.1B.4C.9D.1211.¶·x,y¿À\lÁÂÃddÄ:0ᑣÆ--yḄ¾A.-3B.3C.—1D.112.᝞<0ÇᨵᵬஹIஹJÉÊ3ḄË\=ᡈÍ\=Îᱏᔜ±Ð+.ÑÒÓᵨᵬÎᱏ1+0JÎᱏ4+0IÎᱏ±Ð+ÔÕᔠÔ×◣ÙÚᡂ2;ᜧË\=.ᑣ᝛ÓᵨḄIÎᱏ+ᦪxA.2+B.4+C.6+D.8+13.᝞<0±ᱏ041=32஺0ÜÝ3Ḅ³ᦪ.14.a3•a2—.15.2Áᦪß1,3,5,5,8Ḅàᦪ.16.±ᓃÄÃÄᐗ2T\l2x+y=4Ḅ2;0ᑣãḄ¾x.17.᝞<0äå48஺æ\ᔣWç6cmèᑮADEF,±åABCḄᕜÍx28cm,ᑣ>ì=A8FDḄᕜÍxcm.3E#2⚓0ᐳ14⚓

218.᝞<0ᙠåABC0BC=26cm,OAG஻BC,ïð{ð0.7A—>EGA¬«æOḄAG\ᔣñRò2cஹãḄó³8ï0ðE¬«1/K\òô0ïðF{ðB¬«ᙠõBCöñRò4axḄó³ᔣ/\\\ðC8ï.øðù8ïᑮðC40ð£ûüýþ8ï.ÿB—^CFAF,CE.EḄt()A4ECḄ☢4FCḄ☢rḄ______().19.(1):2x2y-xy3(2)ᑖX2-4.20.ᐗ!"#$%=21.ᐜᓄ)*+(a+1)2-a(a+4),ᐸ-a=..22.᝞01234=NC,E/7/0B.4534EF=4஺Ḅᳮᵫ.34=NC(92)ᡠ;AB஻().ᡠ;4D=NB().=EF஻Z)B(92)ᡠ;4B=().ᡠ;NAEF=ZD().23.᝞0ᙠᵫ?@1AᓫC@DḄEF#G%ᡂḄF#GIA8CḄJA⚔LMN.(1)OJPGABCQCRS180஺TUVRSWXYḄJPGB1G.(2)OJPGABCᐜᔣ[\2AᓫC*ᔣ]\3AᓫCUV^\WḄJPGA2^2

3B//AC24.a᪥cdefg■i2jklmnopq!ArḄklᡂs(ᓫCᑖ)tguᑖ᪆wᑴV᝞]Ḅu0জz0ঝT᪷}~ᐵ]ᑡ⚪.(1)"opreḄᦪ0জ-஻Ḅ;(2)ArklᡂsḄᦪM.(3)+ArklᡂsḄ^ᙳᦪ.25.qYz“⁐⁚¡᣸”Ḅ¤¥¦§ᖪ©ᵨ3300ᐗ¬tᵬஹ3¯°⁚±ᐳ100³´µ¶·.¯°⁚±Ḅt¸ஹ¶¸᝞⊤.(1)+¦§ᖪ©ᵬஹ3¯°⁚±ᔜ¬tq»¼³½(2)ᐰ¿¶·100³⁚±Wᖪ©ᐳÀᑭ»¼ᐗ½t¸(ᐗ/³)¶¸(ᐗ/³)ᵬ°⁚±30403°⁚±355026.᝞0O!ÃÄPJPÅ-Ḅ¯AÄP⚔CÇÈᙠ!É1231=30°,NB=60°,4=NE=45°.(1)ÏZJICE=70°,ÑIj/BCD°.(2)4ACEḄDᦪn஺ᵨØ”ḄÙᦪ⊤ÚZBCCḄDᦪÜ45ᳮᵫ.Ý4⚓ᐳ14⚓

4(3)ÏᢥàJPÅABCáJPÅ஺CEQ⚔CS!ᕜCD஻718+V34CEḄDᦪ.

5ᫀz᪆1.ூᫀ௃Cூ᪆௃••16M8Ḅèᦪ••.8z16ḄᨬᜧëᦪM8,ᦑ⌱C.¯AᦪMèᦪᐵîïEḄᦪMðñḄᨬᜧëèᦪ}òó⚪.⚪ὃõqëᦪḄ~ᐵ⚪⚪ᐵöᙠ÷øᑖ᪆⚪ùFú⌱V⌱⚗.2.ூᫀ௃Bூ᪆௃4áMüXý0Gᦑ⌱⚗áᔠ⚪ÿ
ᦑ⌱⚗ᔠ⚪C.ᦑ⌱⚗ᔠ⚪஺.ᦑ⌱⚗ᔠ⚪ᦑ⌱B.᪷Ḅᔠᔜ⌱⚗Ḅᱯᓽ!"#ᫀ.᝞&'()'ᩩ+,ᢚ.+,/0Ḅ1ᑖ34567ᔠ8(9:.⚪ὃ<=Ḅᐵ?@A/1ᑖᢚ.B7ᔠ.3.ூ#ᫀ௃BூG᪆௃GAஹ41Ḅ/M42Ḅ/MḄOᔣQR,41S42⚔UᦑV⌱⚗ᔠ⚪Bஹ41Ḅ/MᑖWN2Ḅ/MḄOᔣQR,41S42⚔UᦑV⌱⚗ᔠ⚪Cஹ41Ḅ/M42Ḅ/MḄOᔣQR,N1S42⚔UᦑV⌱⚗ᔠ⚪DஹN1Ḅ/M42Ḅ/MḄOᔣQR,41S42⚔UᦑV⌱⚗ᔠ⚪ᦑ⌱B.᪷⚔UḄᭆZᑨ\ᓽ.⚪ὃ<=⚔UḄ.G⚪Ḅᐵ?]^⚔UḄᨵ'(`ᐳ⚔bc'(UḄ/MᑖWd'(UḄ/MḄOᔣQR,ᐹᨵ8fghᐵiḄ/(U5j⚔U.4.ூ#ᫀ௃DூG᪆௃G•••5,=0.63,=0.58,S/.=0.49,S%=0.46,,,s1

6᪷ḄGᓽ.⚪⌕ὃ<ḄO᧜'ᦪḄᜧḄ'(.ᜧᑣᙳḄᦣᜧ~ឋOᑣSᐸᙳḄᦣ~ឋ.5.ூ#ᫀ௃CூG᪆௃G2x+y=3,G!y=-2x+3.ᦑ⌱C.x¡¢ᦪ"yᓽ.V⚪ὃ<=G£ᐗ'¥G⚪Ḅᐵ?¦'(§¢ᦪ¨¢ᦪ"d'(§¢ᦪ.6.ூ#ᫀ௃CூG᪆௃G©᦮«Ḅ¬®«ᑖGᦑ⌱⚗ᔠ⚪8ஹ¯M᦮«Ḅ°Ḅ«ᔠ®«ᑖGḄᦑ⌱⚗ᔠ⚪Cஹᔠ®«ᑖGḄᦑ⌱⚗ᔠ⚪஺ஹ¯M᦮«Ḅ°Ḅ«ᔠ®«ᑖGḄᦑ⌱⚗ᔠ⚪.ᦑ⌱C.ᑭᵨ®«ᑖGḄᑨ\ᓽ.V⚪ὃ<=®«ᑖG³´]^®«ᑖGḄG⚪Ḅᐵ?.ᑖG®«Ḅ'(µ⚗«ᓄj·(᦮«Ḅ°Ḅ«8f¸9:8(µ⚗«®«ᑖG9:ᑖG®«.7.ூ#ᫀ௃஺ூG᪆௃GAஹ42=46,¹ᑨa,bºᦑ⌱⚗ᔠ⚪Bஹ43+45=180஺¹ᑨ\+,”ஹᓃºᦑ⌱⚗ᔠ⚪Cஹ43=46,¹ᑨa,bºᦑ⌱⚗ᔠ⚪Dஹzl=Z4,3ᑨa,bºᦑ⌱⚗ᔠ⚪.ᦑ⌱D.᪷º,Ḅᑨᳮᔜ⌱⚗¾º⌲'ᑨ\ᓽ.⚪ὃ<Ḅº,ḄᑨᵨᑮḄ¢ÁjÂgU6Ã/+,ºᑁ┯U6Ã/+,ºÂ0ᑁU5⊡/+,º.8.ூ#ᫀ௃AூG᪆௃G:(ad2)3=/'3b2X3=a3b6.

7ᦑ⌱A.ᑭᵨ°Ḅ¬Ḅᑣ¾ºÈÉᓽ.⚪⌕ὃ<°Ḅ¬G#Ḅᐵ?³Ê°Ḅ¬ḄᑣbᮣÌÈᵨ.9.ூ#ᫀ௃AூG᪆௃Gᵫ¢/.AOC+LBOC=180°.Z.BOC=5/.AOC,6Z.AOC=180".•••AAOC=30°.ᦑ⌱A.᪷Ð⊡UḄ!Ñ4OC+NBOC=180஺¾ÕGÖV⚪.⚪⌕ὃ<Ð⊡U³´]^Ð⊡UḄGÖ⚪Ḅᐵ?.10.ூ#ᫀ௃CூG᪆௃G••×ᐰ«ḄᱯÙ✌Û/ܬ°ÝÞß,.••TnÃâ6Ḅ'ãḄ.:.m=9.ᦑ⌱C.᪷×ᐰ`«Ḅ᪀ᱯÙ¾ºG.⚪ὃ<=×ᐰ«]^×ᐰ«Ḅ᪀ᱯG⚪Ḅᐵ?.11.ூ#ᫀ௃cூG᪆௃Gæ+2y=5&,2x+y=4ঝঝ-জ!x-y=-1,ᦑ⌱C./«6ìᓽ"x-y=-l.V⚪ὃ<=G£ᐗ'¥³´]^ÈÉᑣG⚪Ḅᐵ?.12.ூ#ᫀ௃BூG᪆௃Ga?+4ah+4b2=(a+2b)2,•••ó◤õÑöᱏ4ø.ᦑ⌱8.᪷×ᐰ`«Ḅ᪀ᱯÙᔠù"ᡠᓽ.V⚪ὃ<=×ᐰ«³´]^×ᐰ`«G⚪Ḅᐵ?.13.ூ#ᫀ௃320ூG᪆௃8⚓ᐳ14⚓

8ூᑖ᪆௃V⚪⌕ὃ<=º,Ḅឋûüᱞþ]^º,Ḅឋû8ᮣÌÈᵨஹG⚪ḄÿẠ
ᐵ.᪷Ḅឋᓽ.ூ௃•••Z.3—Z.1—32°,ᦑᫀ32஺.14.ூᫀ௃a5ூ᪆௃=஺3+2=᪷ᦪḄᑣ"ᦪ#$"ᦪ%&"ᢣᦪ$("-an=am+n.)⚪+⌕ὃ.ᦪ/Ḅ"0123ឋ4⚪Ḅᐵ.15.ூᫀ௃5ூ᪆௃ᦪ1,3,5,5,8Ḅ56ᦪ45.ᦑᫀ5.ᐜ8ᦪᵫ:ᑮᜧ᣸ᑡ"?᪷56ᦪḄᭆABC56ᦪ.)⚪ὃ.Ḅ456ᦪ"56ᦪ4DEFᦪG:ᑮᜧHᡈGᜧᑮ:JKL᣸ᑡM"ᨬ5OḄPQᦪHᡈᨬ5ORQᦪḄᙳᦪJ.16.ூᫀ௃2ூ᪆௃8ZஹUᐭWᐗEYZ[2x+y=4,\2+m=4,\m=2.ᦑᫀ2.8Z[Ḅ]^Uᐭmx-2y=-45"\ᑮEQ_ᨵa^ᦪmḄEᐗEYZ["Z[ᓽbCcḄd.)⚪ὃ.eWᐗEYZ[ḄḄfgEhᙢ"jWᐗEYZ[RkḄd$lḄRQa^ᦪḄd"mnWᐗEYZ[Ḅ.⚪ᐵ48WᐗEYZ[Ḅ]^UᐭWᐗEYZ["joZ[pᓄrsᦪta^ᦪḄZ["ᯠMvZ[ᓽ.17.ூᫀ௃40ூ᪆௃
4BCwBCZᔣy6a”\ᑮz"£■~"•••AD=CF=6cm,AC=DF,••
ABCḄᕜ28c஻"AB+BC+AC=28cm,

9kABFDḄᕜ=4B+BF+DF+4D=AB+BC+CF+DF+AD=AB+BC+AC+CF+AD=28+6+640(cm).ᦑᫀ40.ᐜ᪷yḄឋ\ᑮ4஺=CF=6cm,AC=DF,?ᑭᵨᕜḄfg\ᑮ4B+BC+AC=28cm,ᯠMᑭᵨlUᣚ\ᑮkABFDḄᕜ=AB+BC+AC+CF+AD.)⚪ὃ.yḄឋy%ᦋ&Ḅ
ᜧ:y"ᡠḄ(ᡈᐳ)$l"$l"$l.18.ூᫀ௃yூ᪆௃A""᝞,:AE=2t,FC=BC-BF=26—43S=\AE-AH,S^=\FC-AH,LAECAFC•••zECḄ☢lzAFCḄ☢".■^AE.AH=^C.AH,ᓽ4E=FC,•2t=26—41,\t=y.ᦑᫀ*ᐜbC4E=2t,FC=BC-Bf=26—43᪷A4ECḄ☢lz?!"?Ḅ☢"ᑡCZ[bᓽ.)⚪+⌕ὃ.eḄ☢"᪷⚪£¤¥Z[4)⚪Ḅᐵ.19.ூᫀ௃:(l)2x2y-xy3=2x3y4.(2)x2-4=(x+2)(x-2).ூ᪆௃᪷ᓫ⚗©ᓫ⚗©ᑣஹª©«¬©ᑖ®)⚪.)⚪+⌕ὃ.ᓫ⚗©ᓫ⚗©ஹ¬©ᑖ"0123ᓫ⚗©ᓫ⚗©ᑣஹª©«¬©ᑖ4®)⚪Ḅᐵ.20.ூᫀ௃¯+'=1²2x+y=60ঝ-জ"\¶=-4,/10⚓"ᐳ14⚓

108¶=-4Uᐭজ"\y=14,ᦑoZ[FḄ¼zூ᪆௃RQZ[$¾ᓽ¿Àa^ᦪÁbCa^ᦪXḄd"?Uᐭᐸ5EQZ[bCyḄdᓽ.)⚪ὃ.eWᐗEYZ[FḄ"/EÄUᐭ¿ᐗ"ᐜGEQZ[Å5ᵨEQÆÇ⊤ÉÊEQÆÇ"ᯠMUᐭÊEQZ[¿Àa^ᦪ/WÄ(¾¿ᐗ"8RQZ[ḄRkᑖË$(ᡈ$¾ÀEQa^ᦪḄZm(¾¿ᐗ.21.ூᫀ௃Ha+I/-aHa+4J=a2+2a+1-a2-4a=-2a+1,Åa=1Ð"o©=-2x^+1=-1+1=1,ூ᪆௃ᐜ᪷ÓᐰZª©
ᓫ⚗©Õ⚗©«Ö×"?ᔠÙÚ⚗"ᨬMUᐭbCᫀᓽ.)⚪ὃ.e᦮©ḄᓄÜbd"ÝÞß᪷᦮©Ḅà×ᑣ«ᓄÜ4v⚪Ḅᐵ"á£à×âã.22.ூᫀ௃CDᑁ┯$l"RèRè"ᑁ┯$lZ4EFRè"6$llìUᣚூ᪆௃¬í4=NCH]^J"ᡠr4B஻C஺Hᑁ┯$l"RèJ"ᡠr4D=4BHRè"ᑁ┯$lJ"ð¬Eñ஻஺8H]^J"ᡠr48=N4EñHRè"6$lJ"ᡠrí4EF=4஺HlìUᣚJ"ᦑᫀCDᑁ┯$l"RèRè"ᑁ┯$lLAEF-,Rè"6$llìUᣚ.᪷Ḅᑨffᳮõឋfᳮbᓽ.v⚪ὃ.eḄᑨfõឋ"0öḄᑨffᳮõឋfᳮ4⚪Ḅᐵ.

1123.ூᫀ௃(1)᝞ᡠÉ"z4/16ᓽᡠb.(2)᝞ᡠÉ"z4282c2ᓽᡠb.ூ᪆௃(1)CAஹB÷Cøp180஺\ᑮḄ"?õC✌úâYûᓽ(2)DQ⚔ᑖËᔣýy2Qᓫ6"?ᔣþy3Qᓫ6\ᑮḄ"ÿ✌ᓽ.⚪⌕ὃ-ᣚᣚ⚪Ḅᐵ!ᣚᣚḄ"#$ឋ&'()*+ᣚ,Ḅ-./.24.ூ1ᫀ௃40109ᑖூ᪆௃6(1)12+30%=40(8)m%=4+40x100%=10%,m=10,ᦑ1ᫀ;640,10<(2)ᙠ>?ᦪ(A9+BC12ᦪᨬFGHᦪ9ᑖᦑ1ᫀ;69ᑖ<(3)x=^x(6x4+7x8+8xl0+9xl2+10x6)=8.2(ᑖ),16>JKLMᡂOḄᙳᦪ;8.2ᑖ.(1)᪷(ᡧSTUᩩSTUA9ᑖḄᦪ(WX*YZḄ[\8ᦪᓽ*]Ḅ^<(2)᪷(ᩩSTUAḄᦪ(W*ᑮ>40J᪵ᦪ(ḄHᦪ<(3)᪷(]ᩗᙳᦪḄUbcdXᓽ.⚪ὃᩩSTUஹᡧSTUWfHᦪ⚪Ḅᐵgh⚪ij+ᡠXl⚪◤⌕Ḅᩩn.o12⚓ᐳ14⚓

1225.ூ1ᫀ௃6(1)uvwᖪyz{ᵬ}⁚x}⁚y⚪i*:{30^+^5y=33001*616vwᖪyz{ᵬ}⁚40}⁚60.(2)(40-30)X40+(50-35)x60=1300(ᐗ).16ᐰ100⁚,ᖪyᐳUᑭ1300ᐗ.ூ᪆௃(1)uvwᖪyz{ᵬ}⁚x}⁚y᪷(=ᓫxᦪᔠ3300ᐗz{100⁚ᓽ*+ᐵx,yḄGᐗc?¡ᓽ*+¢<(2)ᑭᵨᑭ¤=¥Ḅ├ᑭ¤x├ᦪᓽX+¢.⚪ὃCGᐗc?Ḅ.ᵨj§¨ᐵ©ªhᑡ+Gᐗc?⚪Ḅᐵ.26.ூ1ᫀ௃110ூ᪆௃6(1)6^ACE=70°,^ACB=90°=4DCE,BCE=20°=^ACD,.BCD=BCE4-/.ACE+Z.ACD=20°+70°+20°=110°,ᦑ1ᫀ;6110;(2)z.FCD=(180-n)°,ᳮᵫ᝞¹6vZ-ACE=n°,Z,ACB=90°=DCE,:.BCE=(90-n)°=Z.ACD,•BCD=BCE+Z,ACE+Z.ACD=(90-n)°+n°+(90-n)°=(180-n)°<(3)ᑖ»}¼½6জ¿N4CE┦ÃÄ᝞6•Z.ACD=Z-A=30°,AZ-ACE=Z-DCE-^ACD=90°-30°=60°<

13ঝ¿4CEÆÃÄ᝞:•,BCD=,B=60°,••Z.ACE=360°-,BCD-"CB-,DCE=120°,ÇÈᡠÉ44CEḄÊᦪ;60஺ᡈ120஺.(1)ᵫ4ACE=70஺,ACB=90°=,DCE,*4BCE=20஺=4CD,ᓽ*NBCD=Z.BCE+/.ACE+Z.ACD=110"6(2)ᵫ4CE=n஺4ACB=90஺=KDCE,-4BCE=(90-n)°=/.ACD,ᓽ*48co=,BCE+^ACE+Z.ACD=(180-n)°<(3)ᑖ»}¼½6জ¿4CE┦ÃÄ^ACE=ADCE-^ACD=90°-30°=60°<ঝ¿஻CEÆÃÄ/.ACE=360°-4BCD-,ACB-,DCE=120°.⚪ὃÎÏឋ&ÐfÑÃSᑁÃ"ᳮ⚪Ḅᐵ!ÎÏḄឋ&.o14⚓ᐳ14⚓