福建省泉州市晋江市2021-2022学年八年级下学期期末数学试题（解析版）

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4+2+4••ᵬḄ3ᙳᡂ@9R,3x8+4x9+3x10Ḅ3ᙳᦪ@:3+4+3,•Ḅ3ᙳᡂ@9R,ᦑ"ᫀ@&9R9R,ூc$4nV௃S1F(9-8)2X4+(10-9)2X4+(9-9)2X21=0.8,10L-S-=—r(9-8)2x3+(10-9)2x3+(9-9)2x41=0.6@23ᙳᡂm᪵Ḅ:;c=ᢵdeADEFᔠ〉.ூ௃⚪⌕ὃᦪᒹ./ᦪ*ᦪ3ᙳᦪme⌕ᱞḄeP9_`3ᙳᦪ&ᢣmᦪ.ᡠᨵᦪP◀ᦪḄCᦪ../ᦪ&mᦪᢥcᑮᜧḄ¡¢᣸ᑡᙠ.¤ḄmCᦪ¥(ᡈὅCᦪ¥Ḅ3ᙳ¨)©ª)ᦪḄ./ᦪ.*ᦪ&ᙠmᦪ.X«ᦪᨬqḄᦪ.m23.m¬ᦪ=®+஺(2°0)Ḅ±²³G´¬ᦪy=—Ḅ±g¶·A(2,஻)8(-3,Y).(2)»¼ᡝ2@¾¿ÀÁ»¼)=Â+ᓃḄÀ¾¿¶xÀ·C,ÅÆAC,ÇACḄÈÉ.12Ê"ᫀÊË1Ìy=—xফ3x/5

17ூV᪆௃ூᑖ᪆௃(1)ᑭᵨBḄᙶ᪗ÇXÓḄ¨ᓽ\Ôᑮ³G´¬ᦪḄV᪆`,(2)ÇXm¬ᦪ±ḄV᪆`Õm¬ᦪ±²xÀḄ¶Ö×À¾¿ḄឋÙÔᑮCᙶ᪗ᑭᵨ¤ÚÛ_`ÇVᓽ\.ூc$1nV௃V&•••8(-3,-4)³G´¬ᦪ±ÜḄ/M=-3x(-4)=1212...³G´¬ᦪḄV᪆`&y=mxூc$2nV௃V&•.•4(2,")³G´¬ᦪ±ÜḄ.2n=12,ᑣ஻=6.6=2k+bk=2ßA(2,6),B(-3,-4)àᐭ>=®+6Ô:VÔ:'b=2-4=-3k+by=2x+2ßy=oàᐭy=2x+2Ô&x=-l..•.m¬ᦪy=2x+2²xḄ¶@(.1,o)•.•m¬ᦪy=2x+2ᐵ·»¼X=2¾¿Ḅ²XÀ¶·C(-1,0)ᐵ·»¼x=2¾¿Ḅ@C.C(5,0)᪷¤ÚÛ_`\Ô&AC=J(5_2)2+(0.6)2:.AC=3ூ௃⚪ὃé³G´¬ᦪஹm¬ᦪஹÀ¾¿ஹ¤ÚÛ_`êëì¤ÚÛ_`&í72஺+(ï-%)2_`⌕ᱞ.24.ñòóô├ö10ᝅAøùóP20ᝅ8øùóḄᑭú@4000ᐗ├ö20ᝅAøùóP10ᝅ8øùóḄᑭú@3500ᐗ.(1)üòóôᑜmþÿ
ᐳ100ᝅA
xᝅ100ᝅḄ├ᑭyᐗyᐵXḄᦪᐵ"#$

18(2)ᙠ(1)Ḅᩩ*+,8
Ḅ./012A
Ḅ234AஹB78
ᔜ:;ᝅ<=>├ᑭᨬᜧA(3)C▭.EᔆGHA
IᔆJ+KL▲N1Oᨬ:A
70ᝅA
ḄJQRST(0UTU100)ᐗ,Vᢝ78ḄJ0XYZ᪷\]^_`a(2)bḄᩩ*cI>100ᝅ├ᑭᨬᜧḄ.dᫀ.ூhᫀ௃(1)y=-50x+15000n(2)434ᝅA
p66ᝅ8
<=>├ᑭᨬᜧn(3)rA
ḄJQRR50ᐗE34ᝅA
p66ᝅ8
<=stᨬᜧᑭnrA
ḄJQR50ᐗEA
Ḅᦪ/uv33g«xU70Ḅ᦮ᦪ8
(100-x)ᝅEᙳstᨬᜧᑭnrA
ḄJQRᜧ50ᐗL{100ᐗE70ᝅA
p30ᝅB
<=stᨬᜧᑭூ|᪆௃ூᑖ᪆௃(1)✌ᐜ᪷\⚪ᑡIᐗdIᝅA,B
Ḅ├ᑭᯠᑭᵨ7
ḄᑭpᓽtIhᫀn(2)᪷\⚪ᑡI0#ᯠᑭᵨᦪḄឋᓽ|n(3)✌ᐜ᪷\⚪tIᑭyᐵxḄ|᪆#ᯠᑖ8$0UTU50,m=50,50UTU100ᓽ.ூ|௃(1)ᝅA
Ḅ├ᑭ஺ᐗᝅ8
Ḅ├ᑭZ7ᐗ10^+20/7=4000⚪t20a+10/?=3500<7=100|t6=150ᡠ]y=100x+150(100-x)=-50x+15000n(2)⚪t100-|tXN33§3¨y=-50x+15000,-50U0ᡠ]©ªxḄ«ᜧ¬{¨X᦮ᦪrx=34Ey®tᨬᜧ¯°E100—²=66,ᡠ]434ᝅA
p66ᝅ5
<=>├ᑭᨬᜧ.(3)⚪ty=(100+/n)x+150(100—x)=(T—50)x+15000(331UxU70)

19জr0ீTU50Em-5¶·U0,·ªXḄ«ᜧ¬{ᡠ]rx=34Ey®tᨬᜧ¯.ᡠ]rA
ḄJQRR50ᐗE34ᝅA
p66ᝅB
<=stᨬᜧᑭnঝrm=50ET50=0,y=15000.ᡠ]rA
ḄJQR50ᐗEA
Ḅᦪ/uv33,WxW70Ḅ᦮ᦪ,3B
¶100-x·ᝅEᙳstᨬᜧᑭnঞr50U»U100E777-50¼0,yªXḄ«ᜧ¬«ᜧᡠ]rx=70Ey®tᨬᜧ¯.ᡠ]rA
ḄJQRᜧ50ᐗL{100ᐗE70ᝅA
p30ᝅB
<=stᨬᜧᑭ.ூ½¾௃¿⚪À⌕ὃÃᐗdᦪᐗ0#ḄÄᵨÅÆ⚪ÇÈᦪḄឋÉᑖÊ|⚪ḄᐵË.25.᝞Í1,ᙠÎÏA8C஺bHÑÒACÓ8஺Ô½஺ÕAOBC×½CØE┐ÚÛ½8HĽ½E,½OHĽ½Ý.Í1Í2.¶1·r½EÞᙠḄßàÒ^EY|h]+7á⚪$জ᝞Í1,,AB=2஻BC=2,ãä஺E,OEḄàå¶ᵨæ஻Ḅçᦪ#⊤é·nঝ᝞Í2,ßàBDÔᡠ½G,ìíî8GÓEFḄðñᐵ"ÉT]òón¶2·᝞Í3,ᙠÍ12ḄôẠ^ö÷×½CÚÛøOBC,½BHĽ½E,½஺HĽ½Ýr½EÞᙠḄßàÒ^EùúNACE=90஺ò$üýÏC£¼EÝÊÿ.ூᫀ௃1জ஺=4"+5ঝBGLEF,᪆2᪆ூ᪆௃ூᑖ᪆௃1জ஺OHLCE$H,ᵫ'()*CE=8C=2,,-EH=CE-CH=2-a,ᵫ012ᳮ)

20,-ᫀঝᵫ'(),-NCBO=NCEF,/£>GE=90஺5ᑣ),-78(2)ᵫ'()*OC=CF,OB=EF,BC=CE,ZOCB=ZOBC=ZFEC=ZFCE,-஺E஻CF,CD//EF,),-:;COᡠ=>?:;5ᵫ@ᑨ2BC),-78.ூDE1F௃G᝞I5஺OH_LCE$JᵫᡠKLMN:;ABCDOP)*O"஻AD.•••0=PABCDRSMT5U஺OACV5OCDV5OH=WAD=1,2.CH=DH=-CD=a.2ᵫ'()*CE=5C=2,EH=CE-CH=2-a.ᙠRS0EHA,0E=y/OH2+EF2=Jl+(2-a)2=yJa2-4a+5.ঝBGEFᵫ'()*NCBO=NCY5ᓽNCBD=NDEG,,/ZBDC=ZEDG5ZCBD+ZBDC=90°,ZDEG+/EDG=90°,."GE=90°,ADG1EF,ᓽ8G5£FEFூDE2F௃::;ABC஺OP,AOB=OC,ZOCB=ZOBC.

21ᵫ'()*OC=CF,OB=EF,BC=CE,/OCB=NOBC=/FEC=/FCE,•••OB=OC=EF=CF,ZCBE=/CEB.,ZACE=90஺5NOCB+NOCO=90°.,/ZDCE+NOCD=9Q஺,•ADCE=AOCB=ZOBC=/FEC=ZFCE.,/ZCBE=/CEB,ᓽZOBC=ZDEC,•ZDEC=ZDCE=ZFEC=ZFCE,ADE//CF,CD//EF,•:;CQEF=>?:;.*/EF^CF,>?:;co=@.ூ\௃]⚪ὃ`aPḄឋd5'(Ḅឋd5eSVfMḄឋd5012ᳮ5gῪeSḄឋdij@Ḅᑨ2g*k.lmᱯo:;Ḅᑨ2Nឋd=⚪ᐵq.

22