2022-2023学年吉林省长春市南关区某学校八年级（上）开学数学试卷（含解析）

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2022-2023
ᔡ᪍ḕ᧡ᓭᐵᓅᜧ▬ᨴ᪥
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1C.ᵫS4Sd[AOGH--B.m<-C.m>-D.m<--333郑郑7.᝞Y&y4,Bᙠ+{|Ḅ{y}~&6⌕I{yC,..........ᡠ᪀ᡂḄ<=>DbY>&ᑣH᪵Ḅ{yCᙠY........ᐳᨵ........A.4IOO..B.6I...鼠.C.8I....D.10I.您.8.᝞Y&<=>|ᱏ4BCDEᢚ&y4ᙠa>BCDE᜜&ᑣA41ஹ11).-E....翔.....氐OO.塘........tti.盘堞A.244=zl-z2B.3/4=2(41-Z2)郦....C.344=2zl-42D.-42........K-..nᔁ(⌱⚪).......磐....冰.OOஹ⚪ᐳ6%⚪&ᐳ18ᑖ....9.2a>ḄIᑁ=:K.....10.2ᐗR5ᐗ¡¢£&¤⌕¥¦23ᐗḄᖪ¨&gᖪ©kª«&⌕¤ា....®23ᐗ&¤Ḅ®¯+lᐳᨵ¡.宅氐..11.ᡃ±²³ᦪ℉U⌚:¶ℳ¸ᨵH᪵I¹⚪&ᐸᜧX-»¼[½Ḅ¾ᜩ..........À240Á&¼[᠒Ḅ¾ᜩÀ150Á&᠒¾ᐜÀ3ᜩ&½¾◤⌕ᜩdÅÆ᠒........¾.......OO........Ì2⚓&ᐳ15⚓....

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RtAABCmRteDEC,äå4஺&641ᑣ48Ḅᦪ-.14.᝞Y&C41BC,ᚖçDC,AC=3cm,BC=9cm,è@BM1BQ,ᚖçDB,ëyPíCy\îÅ1C7H/SḄóè@CQôë&yNDè@ëy&õçPN=AB,öḼPyôëgôë&yPôëø&ABCAAyPஹNஹ8D⚔yḄ<=>ᐰ:.<ஹúû⚪ᐳ1%⚪&ᐳ10ᑖ15.s+,ᡈ+,m»2X+11+X3x—y=22ýQ8.ஹsþ⚪ᐳ5%⚪&ᐳ48ᑖ஺sþÿᑏ
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NO[ḄAA'B'C'&........3\]4cᙠNOᑮ4C'4_Ḅ`a☢YVOO.....鼠.....您宏11....-E.....翔.........18.⚪10.0ᑖ氐OO.cd0ᓃ+ᓃf&ghfḄx;jkᦪy;j/ᦪnaḄpqs..塘.1—y—JLr....19.⚪.0ᑖ...ttixᑴ⊟ᔆKᨵ24}~5ᜩᑴ᩟55ᜩᑴ3ᡈ堞堞郦5ᩩcdᑴᑭ30ᐗᩩᑭ16ᐗᔆ⌕n5ᜩ........Ḅᑭ2100ᐗᑣ◤⌕᣸}~ᑴ.....K-.....20.⚪.0ᑖ...磐....冰.᝞HᙠῪ?4BC4AB=AC=3cm,NB=30஺E஺ᙠBC8¢ᵫ&ᔣ8ᒴ¦OO..§Q஺¨BஹC©ᔠᒴ¦§Q¦>;lcm/s,¯°4D,²4DE=30஺DE....\]4cEE.....পᙠµ§Q4NB/Z4⌲¸¹º“ᜧ”ᡈ“”&஺E§QᑮH1=F区氐¾ABDA=75°,ᑣNB40=.......2E஺§Q3s[ᑮÀH2=FᑣCD=.µ¾AAB஺ADCEVᔲᐰÃ..........ᳮᵫ&........3ᙠE஺§Q4?4DEḄ1ÅÆᙠ¹ᓄᑨÉÊAADEVῪCË1¾..OONBD4>ÃÌ°ᑏ
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5Öᫀ᪆OO....1.ூÖᫀ௃B....f4x+4—x=0,ᓄÛ4=0,VᐗÜ0ᦑAÞᔠ⚪ß..郑郑+1=0VᐗÜ0ᦑ8Þᔠ⚪ß.......C.x+y=l,àᨵá6âdᦪVᐗÜ0ᦑCÞᔠ⚪ß...........D&+x=0Vᑖ0ᦑCÞᔠ⚪ß.............ᦑ⌱fB.OO.m.᪷åᐗÜ0Ḅæçàᨵ16âdᦪâdᦪḄÜᦪV1Ḅ᦮0éµ⚪..m...⚪ê⌕ὃìᐗÜ0íîïðᐗÜ0ḄæçVé⚪Ḅᐵò..M!..您.宏21.ூÖᫀ௃D1..-E..f4ஹóa=4,b=3,c=4,ᑣ<2=c.ᦑ⌱⚗┯÷&.....翔..BஹÊc-0ᡈc<0¾ac>beᡂû.ᦑ⌱⚗┯÷&.......CஹÊc=0¾ac?>ý2ᡂû.ᦑ⌱⚗┯÷&氐.OODஹᵫ⚪ßdc2>0,ᑣᙠac?>be?Ḅá8þ¾◀c2,ᡂᓽac?>..塘.be2,ᦑ⌱⚗.....ᦑ⌱D.tti..᪷Ḅឋᱯ!"#$%&.堞郦堞....'⌕ὃ*+Ḅឋ."0”/0ᱯḄ12ᦪ45%&Ḅ6⚪8........K-m.9:ᑗᐵ=“0”?ᙠAᔲ■ᣵ#“0”Ḅ◍▟.ḄឋG....m....®.H1JKLMHᡈOJP12ᦪHᡈQJRḄSᔣU...m....OmOH2JKLVHᡈ◀JP12ᦪRḄSᔣU.....H3JKLVHᡈ◀JP12YᦪRḄSᔣᦋU.......3.ூ&ᫀ௃C宅氐%G•••\2a-2\=2-2a,..........2Q—2W0,..........%ca<1,........OOᑣḄ!gᙠᦪhi⊤kḄ/G....u6⚓ᐳ15⚓

6ᦑ⌱Gc.ᵫ|2a—2|=2—2a,yc2a-2W0,z%{|%}ᓽy.⚪ὃ*+ᙠᦪhi⊤kḄ%}᪷~!Ḅឋ{|aḄ!g/%5⚪Ḅᐵ.4.ூ&ᫀ௃D%Gজ┦8yALῪᡂ60஺ᜳᵫᑁ180஺yc⚔180஺-90஺-60஺=30஺,ঝ8y58ᚖᑮ᜜☢4ᑁ180஺ᵫy|ῪḄ⚔Ḅ⊡30஺Ḅ⚔180஺130°=150°.ᦑ⌱GD.ᑮ5⚪ᡃ✌ᐜ¢ᑮῪᑖ┦ஹ¥ஹῪῪ¥8y¦|§⚪¨ᡠª«¬ᡠ®¯ᡃy°±ᩭ³´ᒕ¶K·«¬.⚪'⌕ὃ*+ῪḄឋ¸ᑁ¹ᳮ»⚪8ὃ⇋6⚪⌕ᐰ☢¾⌕Ḅ8᎛y»|ÀÁÂÃ%&#$ᑖij´/%&⚪ḄᐵÅÆ〉¨.5.ூ&ᫀ௃B%GᵫÈ"cOG=஺"=PM=PN,GH=MN,᪷“SSS”yᑨÊAOGHPMN,ᡠ'(CPD=Z.AOB.ᦑ⌱GB.ᑭᵨÈcᑮ஺G=஺"=PM=PN,GH=MN,ᑣ᪷ᐰḄᑨ¹S"cᑮ^OGH,PMN,ÎÏcÐIJ4CP஺=Z.AOB.⚪ὃ*+È-ÈGÑÒÓÔ5·ÈᐰḄᑨ¹S"/%Õ6⚪Ḅᐵ.6.ூ&ᫀ௃C

7........MOO{x+m>2@..%জcx<2m,....%ঝcx>2-m,....•:×ᨵ%郑郑•••2m>2—m,....2....m>-...3........ᦑ⌱Gc.........ᐜ{|K2Ḅ%}z᪷ᨵ%ᑡ|×{%ᓽy.OO..⚪'⌕ὃ*+1ᐗ1Û×%}Ḅ{"ᐸÝÞ{"ß/ᵨàá{%.{...鼠.×%}ḄàáGPᜧᜧPããᜧããᜧ¨äåᜧᜧããåᑮHæ%J.....您宏11....-E.....翔.........氐OO..塘........tti᪷hçḄឋyèé2çhyåê᪵ḄKᩩ1ᐳᨵíᩩ堞郦堞..⚪ὃ*Ḅ/È-hçUᣚÑèhçḄឋ/%&5⚪Ḅᐵ...........K-.........磐.8.ூ&ᫀ௃A...冰.OOூ%᪆௃....ூᑖ᪆௃....᪷ᢚñḄឋycNd=44᪷òó180஺ᵨ41⊤k|41ZM',᪷Ḅ..12᜜óAôõöḄK2ᑁḄᵨ42A÷4'⊤k|Z3,ᯠùᑭᵨḄᑁ区氐ó180஺ᑡ᦮ᳮᓽyc%஺..........ூ%&௃..........%G••ûADE/AAOEü஺Eᢚñcᑮ......OO....u8⚓ᐳ15⚓

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Ḅ᜜360஺
Ḅ᜜Ḅᦪ==45஺O•••
Ḅᑁ=180°-45°=135°.ᦑᫀ135.᪷ri
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Ḅᑁ(n-2)x180஺.஻
Ḅ᜜360஺.10.ூᫀ௃22-32ᐗḄ567x85ᐗḄ567y8.᪷⚪9:2x+5y=23,23-2x2y-5■■x,y;<᦮ᦪ,Ax=4,y=3ᡈx=9,y=1.ᓽ@ḄABCDᨵ2F.ᦑᫀ-2.32ᐗḄ567x85ᐗḄ567y8.᪷GᐵI“ាLA23ᐗ”CN2x+5y23,O᪷x,y;<᦮ᦪPQᑖ᪆.&⚪ὃ)*ᐗTUCNḄVᵨWX᪷GᐵIᑡZᐗTUCNOPT[᪷\]ᦪ<᦮ᦪ^Tᩩ`PQᑖ᪆ab<2⚪Ḅᐵc.

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..........•ACAD=45°,..........♦(DEC=zl+Z.CAD=20°+45°=65°,.O.OᵫRtABC^RtDECḄឋ4B=(DEC=65°.....ᦑᫀ-65°.....10⚓ᐳ15⚓..

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13........•••xḄᨬB`18.OOIOab◤⌕Q᣸18STᑴVWX.....ூ᪆௃PQ᣸xSTᑴVWXᑣQ᣸(24-ZSTᑴV[\᪷eᔆ⌕89....ᜩhḄᑭj4bk2100ᐗᓽ)#ᐵkxḄ1ᐗ12456'AᐸCḄᨬB`..ᓽ)#mn.郑郑..+⚪ὃ-o1ᐗ12456Ḅpᵨ᪷ᔜᦪs'DḄᐵt!7ᑡ#1ᐗ12456........../⚪ḄᐵL.................OO20.ூIᫀ௃ᜧ75஺3cm....O(1)ᙠJxyzCNB04⌲|}ᜧ..M!..஺~xyᑮ1BAD=180°
4B—Z.BDA=75°,.您.ᦑIᫀOᜧ75஺O宏11(2)~஺xy3sᑮ2CD=3cm,JABDADCE,..-E.....ᳮᵫ᝞O"AB=AC,ZB=30°,..翔.....“=30°,....氐.vCD=CA=3cm,OO./.CAD=Z.CDA=Ox(180°-30°)=75°,.塘.....ADB=105°,Z.EDC=75°-30°=45°,.tti..•••DEC=180°-45°-30°=105°,堞郦堞•Z-ADB=DEC,..........ᙠ4BD3DCEC.K-.........NADB=DEC.®...AB=DC,....OOZ.ABD=Z-DCE..••.480DCEQISA),....ᦑIᫀO3cm....(3)ADE5ῪᑖO区氐জ/-ADE=30°,......•Z.AED=Z.ADE=30°,ADAE=180°ߟ/.ADE-Z.AED=120°,..........•48AC=180஺1NB-zT=120஺஺4BஹCᔠ..........•ADHAE8.O.Oঝ=Z.ADE=30°,........14⚓ᐳ15⚓..

14•••ADAE=^DEA=i(180°-N/WE)=75°,Z.BDA=(DEC=180°-/.AED=105°ঞE4=E0NACE=30஺ALEAD=/.EDA=30°,Z.AED=180°-/.EAD-/.EDA=120°,/.BDA=(DEC=180°-Z.AED=60°.§¨)Oᙠ~஺ḄxyzCAAOEḄ©)ª/5ῪJNBD4Ḅ«ᦪ60஺ᡈ105°.(1)᪷~஺Ḅxyᑨ®NBZMḄ}ᓄ᪷5ῪḄឋ±ஹᑁ3³ᳮ8#NB4D(2)᪷~஺Ḅxy8#C஺ᑭᵨ4S4³ᳮ´µ^ABD^DCE8(3)ᑖ4D=4EஹDA=DE,E4=E஺᪷5ῪḄឋ±mᔠḄ·¸8#Ḅ«ᦪ.+⚪ὃ-o5ῪḄឋ±ஹᑁ3³ᳮஹᐰ5Ḅᑨ³3ឋ±º»5ῪḄឋ±ஹᑁ3³ᳮஹᮣ½xᵨᑖ¾n¿À/⚪ḄᐵL.