数学运算真题速解合集

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1086.⚗ᵬ⌕ᡂ⌕45ᑖ#ᡂ$%ᔠ'◤⌕)*ᑖ#ᡂ+A.12B.15C.18D.2023490Ḅ78$%9ᑖ#ᑖ:;3=2஺ᡠ@90/B3+2D=18஺7.22008+32008ḄGᦪ;BDA.1B.3C.5D.7HGᦪḄ⚪IJᦪᶇLMᢣᦪ◀@4ᶇPᦪBPᦪ0QR4D,T᝞2068^7W;ᶇJᦪLM8,3847◀@4Xᦪ;P3,Y3,WZᡂH8Ḅ3[\Gᦪ]^_ᙠaL⚪Ib2008◀@4PᦪR0,Y4;ᡠ@deZᡂ2Ḅ4[\+3Ḅ4[\Gᦪ;7஺8.fᙠgh20ᔖjḄkl\m⊤☢p᢬LghR10ᔖjḄk\mrsᐸ⊤☢uvw)*x\ᔖj+A.100B.400C.500D.600y▭vw{gh10ᔖjḄ4L☢☢uᡠ@4*10*10=400o9.ᵬ~AᙢBᙢᵬ60j/ᑖ#90j/ᑖ#ᑮBᙢᢚᵬ⍗ᵬ◤3ᑖ#ᑮBᙢHAB$ᙢ?A.1350B.1080C.900D.750ᵬ◤⌕)3ᑖ#ᑮBᙢ3*60=180jT;23,ᡠ@T;23,4ᐰhXjᑣBX-180D/BX+180D=2/3,HX=90jy▭;⌱L180ᦪḄ⌱⚗᣸◀AD஺-1-

210.2ᵬ;Ḅ25;¡Ḅ1/3,¡¢11£sᵬ¢¤£+A.12B.10C.9D.8¥;(11-5)/3=2£ᡠ@¢;7£$;5£ᡠ@2ᵬ;10£¢;12£⌱A஺11.¨%©'Ḅª«;18000ᐗ=®⊟°±²{7Lᨴ´²{Xᑮ9500ᐗ=®⊟°a®⊟°µ¶)*·+A.8500B.2400C.2000D.15007LᨴXᑮ9500ᐗ=®⊟°ᡠ@⌱⚗wp9500¸¹º᦮◀Ḅ¼ᨵ2400,⌱B஺12.9[w~᪵)Ḅ¿À[w¿Á15%,ÀÃ[wÁ12%,ÀÄ[wÁR)*+A.8%B.9%C.10%D.11%8%Å11%LÆÇᜧ,LÆÇ᣸◀AD஺12%Å15%Æ3%,9%Å12%Æ3%,Éw¸ÁÆÊËZᡠ@᣸◀B,⌱C஺p☢ḄÌÍᨵ%ËÎRÏe᩽ÑÒ;´Ów¿¸ÁÆÔÊËÕÕZÖ᜜Ø@a᪵^RÙÚÚ8ÛÜ´ËᦋZḄᡠ@4Þ¿ᨵ60ßḄÞ(15Å12Ḅᨬáᦪ)ᑣÀ[w¿¸Ùâ;60/0.15=400ßÀÃ[w¿¸Ùâ;60/0.12=500ßᡠ@Øã;w{100ß¿ÀÄ[w¿¸Á;60/(500+100)=0.1,W;10%,⌱C஺13.60L%ä☢ᨵ12L%åæ⊟çèéêᨵ34L%åëéêᨵ29%åëp⊟Hëéêëp⊟)*%+A.13B.14C.15D.20-2-

323ìíÊᳮ:34+29-(60-12)=15,⌱C஺14.3LᓫM⌕ñò300óô஺ᨬ*⌕ñò99óᨬ)¼¹ñò101óHᨵ¤õñò\Ì+A.6B.7C.8D.9(99,100,101)Ø@öᣚMøaõùúᐳᨵA(3,3)=6õ]wp(100,100,100)aõùúᡠ@ᨵ7õ⌱B஺15.4Lü´ᵬüᨵ131%´ýüᨵ134
,ஹ¡$ü7%ᦪTᵬஹý$ü*1%஺H4LüḄ7%ᦪ;)*?A.177B.176C.257D.256¡ý=131,ᵬ¡=134,$ÿ
ᑮᵬ+2=265,᪷+1=ᵬᐭḄᡠᵬ+2(ᵬ-1)=265஺!ᵬ=89,=88,ᡠ$%ᦪ'89+88=177,⌱A஺conroeḄ012ஹ45$%ᦪ6ᵬஹ4571%89:;5Ḅ$%ᦪ';᜻ᦪ=>?@BD஺᪷⚪DEF!:;5%ᦪGHIJᜧLIGMGNᵬ5OP5ᨵ131%GN5ᨵ134
,⌱⚗ACV☢9X'Ao07YZ21.ᙢᳫ⊤☢Ḅ▮ᙢ☢_`ab☢_c6'29:71,ᐸf▮ᙢḄ:ᑖcPᙠᓅjᳫklᓭஹᓅjᳫab☢_c6'M7nA.284229B.113:55C.371:313D.171:11302ᐸpqᨵrs'ὃuᙢᳮwxḄ⚪y…{u4;⌱⚗ᓭjᳫab☢_ᜧ|ᓅjᳫḄ}'G~|IᑮsAஹBq>2~10Ḅ᪷wxLE=>᣸◀C⚗-3-

46J᣸◀ᡠ⌱D஺w01'50-29/(1-/3/4)2(50-29*3/4),01712113஺2.9PᦪḄᙳᑖᦪ'88ᑖ⌕ᙳᑖᦪᑮ90ᑖ:ᨬ7⌕M7ᑖnA.98B.96C.94D.9202Pᙳ88,⌕4ᑮ90ᑖM2ᑖᡠPM6ᑖ⌱B஺3.;Ḅஹஹ¡ា£'P;¤¥Ḅ¦ᯠᦪ¨©ªḄ_ᦪ«¬|ªḄᡠᨵc`Ḅ2klq;Ḅ⊤☢_'M7nA.74B.148C.150D.1540:®X,X-1,¡x+1,ᑣx(x-1)(x+l)=2*4(x+x-1+x+l),᦮ᳮx2=25,ᡠx=5,⊤☢_ᑣ´2(5*6+4*5+4*6)=148,⌱B஺PS:qV⌕·D⌱⚗Ḅ®¸¹´ᨬºḄ»N'◤⌕½2Ḅ!⚪%¾w¿H®¸q᪵Ḅ◍▟º3⚗ᦪ«IGᜧ,AB4;'2ḄᐵÄᡠ¿NℳḄÆ᎛ÈÉÊℳB,qÈ'ℳ⚪Ḅ;ᢈÌ஺4.ᵬஹஹஹ:%ᐳÎÏᢇÑÒᵬÏḄÑÒ'O᜜P%ÏḄ$`jÏḄ'O᜜P%$`Ḅ1/3,ÏḄ'O᜜P%ÏḄ$`Ḅ1/4,ᐳÏ169;ÔᵬÏM7;ÑÒnA.780B.450C.390D.26002᪷⚪yEÕ⍝ᵬஹஹP%ᑖ×Ï$ᦪḄ1/3ஹ1/4ஹ1/5,-4-

5ᡠ$ᦪ'169/(1-1/3-1/4-1/5)=780,ᵬ¿Ï780/3=260,⌱D஺5.ᨵØÙ´4%ḄÚÛÜÝÞßàáÛᑖºØÙâᡂ10%,ä
ᐭ300Þ4%ḄÚÛºØÙâ´6.4%ḄÚÛÔᨬåḄÚÛM7ÞnA.200B.300C.400D.500024%æ10%ᨬçᦪ20,ᡠè;ᱯ«20ÞḄÚ=>ᐭ20/0.04=500,⌱ê6.ë᪥í
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ôᦻḄᨵ120ð᝕ò80ðᵱòöÕÊ᪥$ᐳᨵ260ðòí
îïᐸfᨵ75ðᵱò4÷Lí
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ôᦻḄ᝕òᨵM7%nA.65B.60C.45D.150:í
4÷Ḅᐳᨵᨵ2(120+80)-260=140%û᝕òí
4÷Ḅᨵ140-75=65%ᡠøí
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ôᦻḄ᝕òᨵ80-65=15%஺7.ᵬüýëᙢ!àᒴÿ
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ᙠᑮᵬᙠᓤ10ᑮ$Ḅ%&,ᵬᐳ16.8ᓟ)*+,-ᓟ.A.11.4B.14.4C.10.8D.5.4/*᪷1⚪310ᑮᑮᵬ10ᡠᙠḄ%&567Ḅ89:;ᡠ<=(16.8-6)/2=5.4,>?7Ḅ6ᓟ@ᐳ76+5.4=11.4ᓟ஺⌱A஺8.DEFGHIJK
LMNᐜᣓQ30RST
L᪗VWXYᣓᣍ50Rᐸ\ᨵ᪗VḄᨵ10Rᑣ_JKḄSTᜧaᨵ,-R.A.150B.300C.500D.1500/*bc:;ᡠ10/50=30/X,X=150,⌱A஺-5-

69.ᢇfg᝞ijᜩᵬljmᜩl_᪵nol,pᡂḄᜩᦪាt=᦮ᦪ஺᝞ijᜩljmᜩᵬl_᪵nollᑮvwxpᡂᡠᵨḄᜩᦪzᒕ40~pᡂᵬᦔ᳛Ḅb=7:3,)ᵬᜩl,-.A.30B.40C.70D.120/*ᵬᦔ᳛Ḅb=7*3,ᡠᵬ=7ḄᦪRᨵCᔠ஺10.ᨵ᣸:Ḅ᣸᣸ᵨ128ᵨ924,¡ᙠᵨ8¢£ᵨ,-.A.12B.36C.48D.72/*ᐺ¦§ᔛ₝)⚪ª1,ᑣ᣸᣸=(24*912*8)/(248)=7.5,ᡠ²ᩭ´=(127.5)*8=36,ᡠ8ᵨ36/(87.5)=72,⌱D஺06µ¶*6.1992=24·!ᏔᦪḄ)_24·!Ꮤᦪ\ᨬᜧḄ=º.A.84Bஹ106Cஹ108Dஹ130/*/*1992/24=83,⍝j12Ꮤᦪ=82,ᡠ82+12*2=106,⌱B஺7.¾ᖪÀᢥÂÃḄ80%(Åᢚ)Ç,ÈQÉ20%ḄᑭË,)ÂÃÌÍḄᑭË᳛=,-.A.50%Bஹ40%Cஹ30%Dஹ20%/:ÂÃX,ᡂÏY,ᑣᨵ0.8X=1.2Y,ᡠX=1.5Y,⌱A஺8.ᵬḄ13%Ñ14,Ḅ14%Ñ15,ÒḄ15%Ñ16,-6-

7ÓḄ16%Ñ17,ᑣᵬஹஹÒஹÓÔᦪ\ᨬᜧḄᦪ=*A.ᵬB.C.ÒD.Ó/*R◤⌕b×ᵬØÙ=14/0.1315/0.14,ᵬ/=14/0.13/(15/0.14)>1,ᡠᵬbᜧ஺⌱A஺9.ᵬஹஹÒÚ6ᵬᑖÜ50ᑖÜ40ÒᑖÜ35ᵬஹAᙢÒBᙢ:ᔣÝLÒ⍗ᑮᵬ2ᑖÜ⍗ᑮ¢£A.B5ᙢ:ß,-.A.250B.500C.750D.1275/*⍗ᑮᵬ2ᑖÜ⍗ᑮÒàḄ89=2*(40+35)=150,ᑣᵬÒ:⍗Ḅ=150/(50-40)=15ᑖÜᡠᐰâ=(50+35)*15=1275,⌱D஺heartrownḄ/ã:ᵫ⚪å⍝ᵬÒ:⍗7¢Ù=æv=50+35=85,⌱⚗´☢éᨵ1275=ᐸᦪ⌱D஺10.ᢇᖪÀᢥÌÍQÉ50%ḄᑭËᩭÂÃêiR├Çᣵ70%ḄᖪÀÑíî├ÇᣵᒕïḄᖪÀᖪðñÂᢥÂÃᡭᢚÇ_᪵ᡠQÉḄᐰóᑭË=²ᩭᡠÌÍᑭËḄ82%,)ᡭ,-ᢚᡷ.A.4ᢚB.6ᢚC.7ᢚD.8ᢚ/*Ꮇªᐳᨵ100gg1ᐗᢚᡷX,ᑣ(1.5X-1)*30+0.5*70=50*0.82,<ÉX=0.8,⌱D஺11.÷øóùïúûḄᨵ696ùïüûḄᨵ5865ýûþ~ùïḄᨵ1265ýûþùïḄᨵ306)_÷øóᐳᨵ,-6.A.1096B.1156C.1276D.1396-7-

8/*z=ÿ
ᳮA+B-AB=-AB69+58-30=X-12,X=109,⌱A஺12.᪍⌕ᙠᕜ300Ḅᙊ!᪛஺#$ᐜ&ḼḄ(◞3᢬+,ᙷ.᢬/30,ᙷ01ᯠ3ᑮ567ᦋ9(◞5!+:᪛஺;᪵#$=⌕᢬>?,ᙷ@A/ᡂCDEA.43,B.53,C.54,D.60,7ᦋᡂ(◞5Ḅ◤⌕300/5=60,ᙷG9᢬/H30,ᙷḄ0᎛J▭@᢬L87ᡠNOPᐜ᢬ḄH+,ᙷ=ᨵR☢Ḅ15ஹ30ஹ45ஹ60ஹ75;UḄᙷVNᑭᵨ⌕YZ6,60-6=54,⌱C஺13.[\]^_`ᵨᵯ(ᨴ᪗dᵨᵯeḄfghi9(j0.60ᐗl(mᵨᵯeno᪗dᵨᵯenpqᑖᢥfghiḄ80%ᦈu[ᡝwᨴxᵨᵯ100jᐳzᵯu57.6ᐗᑣ|\(ᨴ᪗dᵨᵯe97A.60jB஺70jC.80jD.90j7}3ᑡ+,0.6x+(100-x)*0.6*0.8=57.6,X=80,⌱C஺calvinlinḄ7Ꮇ7wᨴxᵨᵯ100j(jᢥ᯿0.6ᐗ◤⌕60ᐗJ▭ᦈu57.6ᐗ2.4ᐗ
ᨵ+qᑖnpᵨᵯeᡠ஺}3ᵨ2.4ᐗ◀Nh(0.6*0.2),ᓽ2.4ᐗ/0.12ᐗ=20j஺,ᫀVN}3ᑮC.80j஺14.ᨵ+,ᵨḄ+}Ḽ¡¢£¤+¥0¦Rᵨ2§¨©᣸ᑣᵨ40ᑖ«A᣸/¬᝞®ᵨ4§¯᪵Ḅ¨©᣸ᑣᵨ16ᑖ«᣸/஺°᝞®ᑜᵨ10ᑖ«²᣸/◤⌕>?§¨©EA.5§B.6§C.7§D.8§-8-

97¯P☢+᪵Ḅ³ᔛ₝°⚪(ᑖ«᣸1,ᑣ(ᑖ«¡(2*40-4*16)/(40-16)=2/3,Áᩭᨵ(2-2/3)*40=160/3,ᡠN10ᑖ«᣸/◤⌕160/3/10+2/3=6,⌱B஺15.+,ÇᘤᑁᨵlÊËÌ஺£ÇᘤᑁOᐭ+UÎÏḄÐjÑ93%,ÓOᐭ¯᪵>ḄÎÏḄÐj92%,°HÔÕÓOᐭ¯᪵>ḄRÎÏḄÐj>?EA.1.8%B.1.5%C.1%D.0.5%72%ஹ3%ᨬÛÜÝᦪ6,VNᨵÌ6Ëᑣᨬᐜᨵ6/003=200ËÎÏ,Rᩭ6/0.02=300ËÎÏ,ᡠNOL100Ë,HÔÕᑣ6/(300+100)=0.015,⌱B஺09àὃ:106.ᓅäᝍæçᨴçmèPçéê°ᐰìíîàᙠ¯+ᜩᨵ>?àðEA.ñᨵ+,B.ᐰqàðC.ᐰqàðòᑖó+NôD.òᑖó+NP7;+⚪.0õᑮL=N9ö÷øùúLûü⚪…¯+,ìí¯+,þÿ…⌱ᯠᐰᐳ…⌱B஺D⌱⚗1/2ᒹᐰᡠ"ᨵ$%&ᔳ஺107.,-./012Ḅ456Ḅᨬ89:;/<456Ḅ᎔ᦪ?@:᜻ᦪBC,-ᨬD⌕FᡭDHIJKLMᡭN12ḄᵯPQ()A.90B.50C.45D.20YZ᎔ᦪ?@:᜻ᦪᨵ5ᡠ5*10=50I⌱B஺108.ᵨ_:ᦪ`⊤bcde᝞980716⊤b1998h7ᨴ16cᵨjkl⊤b2009hḄᐰcdBCᐰhm_ᦪ`nḄcdᨵoᜩQ()A.12B.29C.0D.1YZ⌕ᐰ09hBCᨴq0rᜮt10ஹ11nv,;K⌱12,᪵ḄPcd0ஹ1ஹ2rᜮḄnv30ஹ31-9-

10vᡠᨵ஺⌱C஺109.ᵬ{ᐳᨵ|}260~ᐸmᵬᨵ}13%,{ᨵ}12.5%,BCᵬḄ}ᨵDH~Q()A.75B.87C.174D.67YZᵬᨵ}13%,ᡠᵬḄ}87Ḅᦪ;ᨵBC9⌱⚗ᵬ}87Ḅ᎛ᵬ@ᐳ100,{260-100=160,2
ᵬ}174Ḅ᎛ᵬ@ᐳ200஺{260-200=60;{ᨵ}12.5%,ᡂ1/8,ᡠ{Ḅ}ᦪK8᦮◀᣸◀2
Ḅ⌱110.@ᩩ⍝ᵬᵨ20ᜩḄ᢬{ᵨ10ᜩḄ᢬ᙠᢥ᯿ᵬ᢬@ᜩ{¡ᵬ᢬@ᜩᯠ8ᵬ¡{᢬@ᜩ…᝞¢£¤᢬᦮⍝◤⌕DHᜩ?()A.14B.16C.15D.13YZ§ᐳᨵ20Ḅ¨©ªᑣᵬ@ᜩ¬1,{@ᜩ¬2,ᡠ20/(1+2)=6...2,9®¡¬012ᜩ"ᒕ°2Ḅ¨©ªᵬḼ¬1ᜩᒕ°1Ḅª²{¬ᡠ@ᐳ14ᜩ,⌱Aom.ᵬ{ᨵ³ᦪ´Ḅµ¶ᐸmᵬᡭ·ᓬ1ᐗ2{ᡭ·ᓬ1ᐗ38ᩭᵬ{@»2ᐗ5Ḅ¼½¾µ¶ᓬ0¿ÀÁÂe⚜dḄᦈᐭH04ᐗ½஺ÆZᵬ{ᐳᨵµ¶DHQ()A.420B.120C.360D.240YZÇ⚪É<,X/4+X/6-4=2X/5,Y

11Ð1ÎᐳᵨÀ43ᐗÆZᓫØÌÍÏ`ÐஹᙊÒÐஹÓÐᔜ@Îᐳ◤DH½QÚÛA.21B.11C.10D.17YZ3,7,1-----324,10,1——43ᡠ☢*3-°☢*2=32*3-43*2=10,ßàá,1,1Ḅ¼Ö,⌱C஺113.@jâãäåᣵ@ªḄç8âãḄèéê10%,äåᣵ᪵DḄç8âãḄèéê12%,?ìIäåᣵ᪵DḄç8âãḄèéíêDHQÚÛA.14%B.17%C.16%D.15%YZ§âîï60Ú10,12ᨬ,ðᦪÛᡠ?@Iäå8âã60/0.1=600,?ñI60/0.12=500,ᡠòIäå600-500=100Ḅçᑣ?ìIäå8èé60/Ú500-100Û=0.15,⌱114.óðôᵬ{9⃩ᐳᨵ50ᐸm32ᵱឋøùᵬ⃩Ḅᵱ᝕eû5:3,{⃩Ḅᵱ᝕eû2Z1,Æᵬ⃩ᨵDHý᝕þᕒ
A.18B.16C.12D.9᪷⍝50ᑖᡂᑖᵬ"#8᦮◀&"#3᦮◀50(ᨵ8*32+ᔠ-ᩩ/0ᐭ8,ᑣ᝕5ᕒ73,8⌱⚗⌱᣸◀ᡠᵬ=ᐳᨵ32ᓽ᝕5ᕒ732*3/8=12,⌱C஺115.DEF12GHᧇJᢧL2GF13GMᧇJᢧ⌱L3GᩭOPQ⍝RSOPḄUVᐳᨵ7GXYZDEᨬ\]L\^⍝_=᪵ḄRS
A.131204B.132132C.130468D.133456#7᦮◀Ḅᱯឋd3efg☢ᦪjḄk
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12116.᝞qᡠrXஹYஹZᑖw7☢xy64ஹ180ஹ160Ḅz_{|}Ḅ~ᱏ⌚☢Ḅ☢x7290,ᐸJXfYஹYfZஹZfXᑖḄ☢x724ஹ70ஹ36,XY▢ᑖḄ☢x7
஺A.15B.16C.14D.18ᐸo7zὅ⚪zὅ{ḄᑖyT,ᑣᨵ64+180+160-24-70-36+T=290,T=16,⌱117.ᵬ&᪛⌼᪍¢ᵬḄ᪛£ᦪ7ᐸ¤z᪛£ᦪḄḄᑖ¥=&Ḅ᪛£ᦪ7ᐸ¤z᪛£ᦪḄzᑖ¥=Ḅ᪛£ᦪ7ᐸ¤z᪛£ᦪḄ=¦᪛3900£஺XYᵬḄ᪛£ᦪ7\^
A.9000B.3600C.6000D.4500ᵬஹ&ஹᑖwᓰᦪḄ1/5ஹ1/4ஹ1/3,ᡠὅᦪ73900/
1-1/5-1/4-1/3=18000ᡠᵬo718000/5=3600,⌱¨©“«”Ḅ᪷ᩩ/⍝ᵬ7®Jᨬ^Ḅ¯Ḽ7ᯠ²7&ᨬᜧ஺ᡠ⌱3900nḄ=⚗³o73600஺118.100´µ7¶·¸("´µ=¶·¹º¸¶·Ḅ´µᦪ»_=᪵XY´µᦪ¼\Ḅ¶·ᨬ\ᨵ\^
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100-6/4=23.5,ᡠ¼\Ḅ722,⌱A஺-12-

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23ᐭA,"#n'ᵬ12J*15Jl*fnZkf*fJᦪḄᓝᑖp"1510᦮◀᣸◀ᡠ⌱B஺41.ᵨᵯᨴ᪗ᵨᵯḄ10.50ᐗᨴᵨᵯL᪗ᵨᵯ¡ᑖᢥᐸḄ80%ᦈ¥ᡝ§ᨴ¨ᵨᵯ84ᐳªᵯ¥39.6ᐗ,ᑣ«ᨴ᪗ᵨᵯ178஺A.60B.65C.70D.75FGḄ80%V0.5*08=0.4,¬ᨴ᪗ᵨᵯXᑣ0.5X+84-X
*0.4=39.6,FzX=60,⌱A஺42.ᨵ50®¯°±ᱥᳮஹᓄ¯Sµ᝞/ᱥᳮSµ±¶·Ḅᨵ40Jᓄ¯Sµ±¶·Ḅᨵ31J¸Sµ°±┯Ḅᨵ4Jᑣ¸Sµ°±Ḅᨵ78஺A.27JB.25JC.19JD.10FGº»¼⚪40+31-X=50-4,ᡠX=25,⌱B஺43.ᨵᐵ¡¾⌕ÀÁÂ᪶30[ÄẆÆ⚪ᫀ᝞/⌕ÈᜩÊ᣸Â᪶ḄÆ⚪[ᦪËxÌ1ÍᑣÂ᪶ÎÏÐÆ⚪ᨬ◤⌕78஺A.7ᜩB.8ᜩC.9ᜩD.10ᜩFG1+2+3+4+5+6+7=28,Òj"[2xt30,ÓÔ1V⌕Ëxᡠ8ᜩḄÕÖ×ØḄÕÖ°ÙᔠÛV7ᜩsÜV1+2+3+4+5+6+9ḄÕÖ⌱A஺44."[ÝÞᦪßàáÞᦪVâàÞᦪḄ5ã᝞/äâàḄÞᦪåᑮæ☢ᑣᡠzèḄÝÞᦪ⌕_}ᩭḄÝÞᦪḄ2ãê75,ᑣ}ᩭḄÝÞᦪV78஺A.12525B.13527C.17535D.22545FGëìᐭ⌱A஺-23-

2445.l12+ᑮ13+íḄ+┐wᑖ┐NᡂëðḄñòᨵ()஺A.1#B.2#C.3#D.4#FG"[õ+ᑁᡂëðÛᨵ#⌱B஺46.oJöᳫøìᳫùú⌕ÈJìᳫÒøûJ஺0ᵫᵬüᳫý1"#øᳫÝ#øᳫᳫ!ᑮᵬþÿᑣᐳᨵᳫ()஺A.60B.65C.70D.7545ᳫᐳᨵ35=243ᙳ243/4=60.75,ᨬḄ60,⌱A஺ᡈὅ!"⚪Ḅ$%&Mnᳫ'(ᑮ*+,ᨵAn-A=[(M-l)n+(-l)n(M-l)]/M,⚪.☢M=4,n=5,0ᐭ2nA5=60o47.34520086ᓅ8ᝍ:;ᡂ=⁐ᝍ:ᐰ@ᔜᙢCᙠEFGHI᪛⌼᪍஺MᓫOPᑜᙠRSTUVW✂ḄTᩩZḄ([\])T^_`᪛a:(ᢇ᪛cdeᩩZḄfghᩩZfgḄTijk6000lm◞4l_oᑣp2754oqm◞5l_oᑣk396oᑣᐳᨵ᪛c()஺A.8500oB.12500oC.12596oD.13000oTrsUt5:4,TᩩZḄT^ᡠvᐳ⌕xᣵ4o᪛zXoᑣ(x+2754-4)/(x-396-4)=5/4,2X=13000,⌱D஺48.ᙠᩩ&Z`◞100&.ᨵ{|ᐳᨵ5{|,~{|ᨵ10ᔴᱥ~{|ᨵ20ᔴᱥ~{|ᨵ40ᔴᱥᐸT{|Ḅ஺aᙠ⌕5ᡠᨵḄᱥ,ᙠ{|.᝞ᔴᱥ:1&.◤⌕0.5ᐗ:ᑣᨬp◤⌕:()஺-24-

25A.4500ᐗB.5000ᐗC.5500ᐗD.6000ᐗ{|+{|=30ᔴ~{|Ḅ40ᔴᡠvᐰᑮ~{|◤⌕100*0.5*4*10+3*20
=5000,⌱B஺49.MᧇᖪᐸᧇḄ¡᝞¢£¤¥¦জ¨©[ª«1¬ᐗ[£¤qঝ¨©ª«1¬ᐗ¯[ª«3¬ᐗ°±ᢚ£¤qঞ¨©ª«3¬ᐗᐸ,3¬ᐗ±ᢚ£¤ª«3¬ᐗᑖµᢚ£¤஺Mᔆ·|¸·*ᙠ¹ᖪᜐᧇ»¼7800ᐗ*»¼26100ᐗ᝞½¾᪵ᦪÁḄᧇÂvp»ÃÄ஺A.1460ᐗB.1540ᐗC.3780ᐗD.4360ᐗ:*26100ᐗᡠvƹ26100/0.9=29000ᐗ,E`*Ḅ7800,Ç29000+7800=36900ᐗḄᧇᡠv30000*0.9+6900*0.8=32440ᐗ,ÈÉ426100+7800-32440=1460,⌱A஺50.ÊOᦪ◀v97,◀v52,◀v43,᪵ḄÊOᦪᐳᨵÃÄ஺A.5B.6C.7D.8◀v52,◀v43,̾EÌᡠv20n+7;◀v97,20n+7,¾Í¾ᡠv180n+7,·3ÊOᦪᡠvnÂvÍ1,2,3,4,5ᐳ5஺⌱Ao08ᓅ8Î11.MÏÐÑÒḄÓ├ᖪ½v4ÕÑÒ300ᐗḄÆÖ×ØÙÚᖪÛ¾Üv6ÕÑÒ500ᐗḄÆÖᓬ°ᑖ├ᖪ஺deÞ6ᐳß410¬ᐗàáÞ6ᐳᓬÑÒkpÕâÃÄA.8000B.10000C.12000D.4000ãä4,6ᨬ&iᦪ60᦮◀Ḅ⌱⚗çᨵ12000,⌱C஺-25-

2612.çèéêᙠ᪛ë`Ḅèìᔣᓅî410lᯠ'ðᔣñî410lᯠ'ðᔣ`î410lᨬ'òóḼèìḄ×õî(4ö÷áèî¡Ḅøfgù¢ᑡûᨬâ()A.17B.40C.47D.50èᨬ'óḼèìḄ×õî(öüḄýþ\ÿ
Ḅ᪷Ḅᕜ,☢Ḅ3
10ᡠḄ10*3+M300,47,ᡠ⌱C஺13.ᨵA,B$%ᖪ'᝞)AḄᑭ+,-20%,BḄᑭ+./10%,01A,B$%ᖪ'Ḅᑭ+2345஺67ᩭAᖪ'Ḅᑭ+Bᖪ'ᑭ+Ḅ9ᑖ;<=()A.80%B.70%C.85%D.75%@:᪷⚪CDE1.2A=0.9B,ᡠA/B=0.75,⌱D஺14.ᵬGHᨵIJ17%ḄKL400MNGHᨵIJO23%Ḅ4%KL600MPᙠRᵬNST34UVḄKLWᵬGSTḄ᎔ᐭNGHWNGSTḄ᎔ᐭᵬGHZᵬN$GKLḄIJ346Pᙠ$KLIJ[/=()A.18.5%B.19.6%C.20.6%D.21%@\]PᙠIJX,᪷ᓝ_3`a\2.3%X-1.7%600X=1.7%2.3%-X400ᓽ3(2.3%-X)=2(X-1.7%)ᡠdTX=20.6%,⌱C.yoyo09Ḅ@a\(17%*400+23%*600)/(400+600)=20.6%-26-

2715.ᵬN$efghiEjᵬkNPᙠl1ᜧnN8opjNkᵬPᙠl1ᜧnᵬ29o஺6qfᵬḄfgO[/o=rsA.22B.34C.36D.43@\tᐺvḄ⚪w…ᢕzfg{|}h~29-8/3=7,29-7=22஺⌱A஺16.ᓫqf53
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e6\ᐳᨵ<%h4Ḅᑖᫀ=rsA.12B.16C.24D.h@\ᨵ%⌱.3e4Ḅᡠ3Ḅ3-3=24,⌱C஺17.Ḅ¡¢£⌕¥ᡂT§¨ᓫ᝞)ᜩ50ª⌕«7¬ᑜ®3ᜩ¥ᡂ᝞)ᜩ60ªᑣ⌕«7¬ᑜ°2ᜩ¥ᡂl¨ᓫᐳ◤⌕[/ª¡=rsA.1200ªB.1300ªC.1400ªD.1500ª@\²50ஹ60᦮◀Ḅ᣸◀BC,·¸ᐭAD,Ah¹ᔠᡠ⌱D஺18.ᨵᚮ¼½r¼½ᦪᜧ1,W¿ÀÁᑖÂᒕÄ,ÅÆÇÄÈᒕÉḄ¼½ÁᑖÂÊᒕÄÅÆÇÄÈᒕÉḄ¼½ÁᑖÊᒕÄ஺67ᩭ/[/ļ½=rsA.23B.37C.65D.85@\᎔ËDdT3ÁᑖÌÍᨵÎᡠÏ«64ᜧÐ[Ñ⌱D஺-27-

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4᦮◀ḄX=75,⌱C஺20.!"#$1/3()*+ṑḼ$.*⏨ᩭ12◤45"6*ṑḼ1Ḅ1/3Ḅ78ᑣ*ṑḼ1"6$ᐰ)Ḅ;ᑖ=;>?A.3/8B.3/7C.1/2D.3/5:EFᑡH)1/3+X+1/3*X=1,ᡠLX=l/221.ᵬOPQRᐳT$270UV᝞XᵬYT10,OZT10PTḄᦪ2,QTḄᦪ◀L2,\]RTḄUVᦪា_`a஺Pb▭TYZ>?A.30B.45C.52D.63e᪷g⚪ij⍝ᵬOYZlmᣵᡠLᙠ270p☢rᐳᓰ$rtPᓰ1/2tQᓰrtutv270/?2+1/2+2=60,ᡠLPv60*1/2=30,⌱A஺wxLEFyz,᪷gRTḄ`a270/4=67.5,67.5/2=33.75,ᨬF|}ᦪ~Ḅv30,⌱A஺-28-

2922.(1+1/2+1/3+1/4)x(1/2+1/3+1/4+1/5)-(1+1/2+1/3+1/4+1/5)x(1/2+1/3+1/4)Ḅv:()A.1/2B.1/3C.1/4D.1/5:ᣚᐗl/2+l/3+l/4=X,ᑣᡂ(1+X)*(X+1/5)-(l+X+1/5)*X,᦮ᳮ
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3036.(1+1/2+1/3)x(1/2+1/3+1/4)-(1+1/2+1/3+1/4)x(1/2+1/3)=()A.1/2B.1/3C.1/4D.1/5e¶☢⍝⚪·Yᣚᐗᨬ
¸ᫀ1/4,⌱C஺37.ᵬஹOஹPº»¼½ᕒᵬḄ¿`.ROḄ¿OḄ¿`.rPḄ¿ᵬḄ¿PÀ10ᓟ§ᵬḄ¿©YZᓟ§>A.60B.70C.80D.90e᪷g⚪i3ᵬ=4O3O=2PᡠLᵬeP=8/9,Y$tÁ©tv10ᓟ§ᡠL10*8=80ᓟ§⌱C஺38.ÂÃÄ$YÂ1ÅÆÅÆÄÇ1È$É⊤ÅÆËÌ1ÍÈ$É⊤ÎÏ1┐ᑖ┐ា_Ñᣚ$ÒÓ஺Ô}ÕÅÆᜧ×Ä$1Â1YZᑖ>()A.51B.47C.45D.43eÁ©ᑖ┐¥ᑖØ#61┐¥ᑖØ#0.5ᡠL1┐¶ᑖ┐Â1#30+360=390᪷g⚪i1┐ᑖ┐ÑᣚÒÓ1┐#$ÂÙᑖᑖ┐#$ᙌYb▭ᐳ#$rᙌw+v720ᡠL720/390=1Í11/13Â1,ᜧᭆv1Â151ᑖ,⌱A஺39.ᑡÜ©280ÝḄÞ©20Ý/ßàá2800ÝḄᜧ᫑Þãᐰäá}åᜧ᫑◤⌕YZ1ç>()A.48B.2ᑖ20ßC.2ᑖ28ßD.2ᑖ34ßeá᫑Ô⚪èéÄÇ᫑ᑮãᐰë᫑Ḅ1ç=(᫑Ü+Ü)/ìᡠL(2800+280)/20=154s=2ᑖ34ß⌱D-30-

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ᘤ▭"#$%3-X,ᡠ(64/(3-X)=96,,X=7/341../012ᵨḄ5ᧇ718ஹ:;<ᩈ>஺18Ḅ@A7:;<ᩈ>Ḅ3B:;Cᓰ5ᧇEAḄ1/10,⌕./HI012320ᓟL◤⌕ᩈ>NOᓟLA.48B.60C.64D.96᪷Q⚪ST(U⍝:;+ᩈ>ᙠ012Yᓰ1Z18ᓰ3Z,[ᐳ74Z[Z7320/4=80,ᓽ:;+ᩈ>=80,:;7320*1/10=32,ᡠ(ᩈ>780-32=48,⌱A஺42.`a<`bᔠdᢗfghijḄᢗfklᑖn`aopᐰrḄ1/3st9uᐗ`bopᒕxḄ1/3<ᒕxḄ14uᐗ஺y`az`bN{NOuᐗA.2B.3C.4D.514uᐗ}7ᒕxḄ2/3,ᡠ(14/(2/3)=21(`b)21+9=30}7ᐰrḄ2/3,ᡠ(`aop30/(2/3)*1/3=24u~`az`bN24-21=3u⌱43.AஹBஹCஹDஹE5`ᡫLzi`⌕z[ᑮᙠ%Azp4Bzp3Czp2Dzp1yEzp()A.OB.1C.2D.3-31-

32i`⌕[ᡠ(A-------B,C,D,ED-------A}7ADḄB-------A,C,EDC1C-------A,BBஹA᪷QECA,B}7⌱C஺44.ᙠ[⍝`▰z`aḄ᠒jᢥ[£ᔣ¥¦§i◞12ᑖ©ª⍗[¬®j$¯°ᐸY[jᢥª²£ᔣ¥ᑣi◞4ᑖ©ª⍗[¬஺yj³[ᙌµ¶Ḅ`▰z`aNᑖ©A.5B.6C.7D.8E·¸%1,`▰$Y,`a$X,ᑣ4X+4Y=112X-12Y=1,,X=l/6,Y=l/12,ᡠ(Np12-6=6ᑖ©஺45.AஹBஹC¹º»¼Ḅ½¾ᡭᢚᔠÁ1040ᐗᡭᢚÂᔠÁ948ᐗ஺UA»¼ḄᡭᢚÃ$79.5ᢚB»¼ḄᡭᢚÃ$79ᢚC»¼ḄᡭᢚÃ$78.75ᢚᡭᢚAஹBº»¼Ḅ½¾z%5:4஺yᡭᢚAஹBஹC¹º»¼Ḅ½¾ᔜ7NOᐗA.500ᐗ400ᐗ140ᐗB.300ᐗ240ᐗ500ᐗC.400ᐗ320ᐗ320ᐗD.200ᐗ160ᐗ680ᐗᵫC»¼ḄᡭᢚÃ$78.75ᢚᓽ5½Ḅ7/8,ᡠ(TU⍝C»¼Ḅ5½ÆÇ8᦮◀CᨵC⚗Ḅ320Ìᔠᡠ(⌱C஺08ÍÎ6.ᵬஹÐᔆÒÓ[IÔᐹᵬᔆÒÓḄÔᐹᦪAiᨴØᢝ¯°ÐᔆÒÓḄÔᐹᦪAiᨴÚt[BU-32-

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øy⚪᪷Q“ú[ஹÛᩩºᦪ<ὅúḄᦪ=Eᦪ-¯úḄᦪ஺”(26+21)-X=50-17,ᡠ(X=14,⌱B஺9.³ᡂð⚗ÿ
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⌱M10.1992)24NOPᏔᦪḄS
TU24NOPᏔᦪVᨬᜧḄN)Y"A.84Bஹ106Cஹ108Dஹ130%&J]☢06_`⚪᪵
1992/24=83,dGe⍝g12NᏔᦪ)82,ᡠG82+12*2=106,⌱B஺11.ᵬஹஹஹijkᙢ◫noᣎq
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ᣎqᦪ)r᜜tᣎqᦪḄ1/3,ᣎqᦪ)r᜜tᣎqᦪḄ1/4,iᣎq169ᐗ஺Tjᐳᣎ!w"A.780ᐗB.890ᐗC.1183ᐗD.2083ᐗ%&ᨬᐺyḄ-ᐭy⚪z…᪷}⚪~dGe⍝ᦪSdG3ஹ4ஹ5᦮◀
ḄᨵA஺12.ᖪᢥḄ80%(ᢚ),20%Ḅᑭ,TḄᑭ᳛)!"A.50%Bஹ40%Cஹ30%Dஹ20%%&'ᡂk1,᪷}Ḅ80%=1.2,ᡠGk1.5,1.5-1=0.5,⌱A஺13.NḄ¡¢⏀¤¥¦
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39ᙠ᜜☢-A.68B.56C.72D.85./ᐸg1hᔛ₝k⚪Ḅm…oᵬஹ>ஹᢄG%&pq2/1/X,᪷u⚪vwᑡ$36+18X=24+24X,ᡠ7X=2,ᡠ7ᐳᨵ36+36=72O⌱C஺56.1,3,9,27,81,243~ᦪL$ᦪLᦪLᦪw7ᑮᦪᐳᨵ63ᦪ஺᝞75ᑮᜧ᣸ᑡᩭ1:1,3,4,9,10,12,…஺VW60ᦪ1஺A.220B.380C.360D.410./63ᦪ☢ᨬᜧḄ1243+81+27+9+3+1=364,ᡠ7᎔Ḽᦪ,601360஺⌱C஺57.Ḅᵯ¡ᵬᖪ£p>ᖪ£Ḅ¤¥+10%,᝞ᵬᖪ£ᢥ30%Ḅᑭ©ª¥8>ᖪ£ᢥ40%Ḅᑭ©ª¥ᑣᵬᖪ£Ḅª¥p>ᖪ£+45ᐗVW>ᖪ£Ḅ¤¥1+,ᐗ-A.2100B.1800C.1500D.2600./¬ᑡ®¯1.1X*1.3-1.4X=45,X=1500⌱Coo58.³´µᨵ᝘´·´ᐸ᝘´Ḅ⚩ᦪᓰº⚩ᦪḄ3/5஺¼ᙠ½µ¤10⚩·´~᝘´Ḅ⚩ᦪᓰº⚩ᦪḄ4/7஺VW~³´ᨵ+,⚩᝘´-A.100B.112C.120D.122.:᪷u“ᓰº⚩ᦪḄ3/5”“ᓰº⚩ᦪḄ4/7”¬⌱À3ஹ4Á᦮◀ḄÄᔠḄᨵ120,⌱C஺59.ÆÇᙠ᩟ÉÊ⌱Ë◤2/3Ḅ⌱ἠÎR⌱RÏÐÑ3/5Ḅ⌱ἠÒᑮḄ⌱ἠᦪÓSᑮR⌱ἠᦪḄ3/4,)◤⌕ᑮᒕÖ⌱ἠḄ×ᑖØ×ÎR⌱-A.7/10B.8/11C.5/12D.3/10./Ꮇoᐳ60Úἠᑣ◤⌕40ÚÎR⌱ÏÐᑮ3/5Û160*3/5=36ÚÒᑮ33/4,Û130Ú),10Ú,ᡠ7110/60-36=5/12,⌱C஺-39-

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3ᨴ13ᨴ21ᐳ
840
ᨵA.20B.30C.35D.40ᦪᑡᡠan=al+20,al+an=840*2/21=80,ᡠal=30,⌱B஺14ஹᖪ%ᓬ'()*1ᑖ,)5*4ᑖ)10*7ᑖ,)20*1.2ᑖ஺/0Ḅ,273*/3287*4,ᔠ6ᩭ82*-40-

41A.160B.165C.170D.175:/0Ḅ73::3;20*+1;10*+3;1*=3*12+7+3=46ᑖ/3Ḅ87::4;20*+1;5*+2;1*=4*12+4+2=54ᑖ4:ᔠ6ᩭ<=100ᑖ100/12=8…4,ᡠ>ᐳ?28;20*@1;5*Ḅ8*20+5=165,⌱Bo15ஹᙠ>:BCDᨵ10:Eᳫ6:Gᳫ4:HᳫIJK:ᳫL8MNᐸPᨵGᳫA.14B.15C.17D.18ὃ⇋ᨬTUḄᑣᓽIJ14:ᳫXY=GᳫᡠZ15:>[=Gᳫ⌱B஺16ஹ᱆᱆ஹ]]ஹ^^3:_ᙠ`a@b64c᱆᱆=]]`a3de^^=9c]]=^^`a2de᱆᱆34c஺_ᙠ᱆᱆Ḅ`a=A.34B.39C.40D.42f^^9ce]]Xcᑣ᱆᱆=3Xcg᱆᱆]]^^3XX93434-2X17-X᪷i`ajkYlᡠx-9=34-2x-(17-x),mx=13,ᡠ]]13cḄe᎛᱆᱆=3X=39coe3p@=13+39+9=61,ᡠ>`qr<=_ᙠ᱄t40cḄe᎛3pᐳuv3c`a@L=64c஺⌱C஺17ஹwᜧyᓬGz{|[})ᓟ5.>rᓬYJ,qᩭ)ᓟvKᑖ,Xᓬᣵv஺>ᐳᦈᐭ22.26ᐗᑣ)ᓟKᑖA.3B.4C.6D.8-41-

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ᡠ)ᨴ®dq?¢⍝ᙠ6ᨴlᡂ160,§¨ᵬᔆ⌱C஺19ஹ²ᚪ2ᩭ5´)¦IJ4ᔠµ¶mᑮ10Y¶ᓫ¹ᓟ47ஹ50ஹ51ஹ52ஹ53ஹ54ஹ55ஹ57ஹ58ஹ59஺ᨬ¶>=ᓟA.25B.28C.30D.324ᔠµᨬ¶=59,¼½5´D☢ᨬ¶Ḅ4<=29¿30,ᡠ⌱C஺20ஹᵨᜧÁÂÃZ>¦ᵨᜧÁ1264ᓟZ¤¦ᵨ1432ᓟZ¤¦ÄZ>¦JÃ21ᓟ4¦ᐳJÃᓟA.337B.179C.158D.132:)ᓟÁJÃ21/1432-1264=1/8,ᡠ4¦ᐳJÃ1264+1432*1/8=337,⌱A஺21ஹᨵ>:ÈÉÊËÌᕜÎᵨÏÐ25cmḄÉẈÔv>ᩩÖ1.5×Ḅ/Øᐳᵨ1776ᙽ஺ËÌḄ☢Ú=ÛÉ×A.IllB.289C.400D.10404ÞÌᕜÎḄ☢Ú=0.25*0.25*1776=111,f᜜ÎÈÉÊÏÐX,ËÌ/ÈÉÊÏÐY,ᑣᨵX?-ã2=111,20ḄÛÉ=400,17ḄÛÉ=289,400-2893ä=111åæ20ᑁÛÉḄäᜐ…ᡠËÌ☢Ú<=289,⌱ê22ஹ>ëìí@>î⇾ð18ᐗ>ᒹòò'@>C✏ô11ᐗ>ᒹòò'@>î⇾ð14ᐗ஺>C✏ôÄ>ëõíö1ᐗ஺÷4᪵²PᨬöḄ=ù½A.òò'B.ì-42-

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⇾ᨬ⌱D஺23ஹ63ᱏ᪛ᐸ561Ḅ652Ḅ613Ḅ2A.35B.30C.26D.242,356,1,365,1,261,ᡠ"(56+65+61)/2=913$Ḅ%&ᑣ291-65=26,⌱C஺24ஹ(873x477-198)-(476x874+199)=?A.1B.2C.3D.4()*ᦪ,-.1,⌱A஺25ஹ/012ᦻஹᦪ0ஹ425ᙳ93ᑖ஺2ᦻஹᦪ05ᙳ90ᑖ2ᦻஹ425ᙳ93.5ᑖ஺812ᦻᡂ:ᑖA.88B.92C.95D.99245ᙳ93.5,3;5ᙳ93,ᡠ"ᦪ0<=90ᑖ">,2ᦪ5ᙳ90,ᡠ"2ᦻ@A90"B⌱A஺07CD6.FG(1+1/2+1/3+1/4)x(1/2+1/3+1/4+1/5)-(1+1/2+1/3+1/4+1/5)x(1/2+1/3+1/4)ḄH()஺A.1B.1/4C.0D.1/5:ᣚᐗl/2+l/3+l/4=X,ᑣMNᓄP(1+X)(X+1/5)-(1+X+1/5)X,᦮ᳮSMN=1/5,⌱T7.UVὁXY⚞01[᪛01ា]^5ᑖP4_`%ᐳ᪛667᝞cX1deᦪḄᦪ᪵-43-

44ghiᐳᨵ01eklA.36B.28C.22D.24✌ᐜ᣸◀A^4᦮◀ḄC⚗᪷|⚪~667A^“⌱⚗+1”᦮◀kX1᪵>ὁXḄlᡠ"@ᨵB⚗஺8./Ḅ10ᨴᨵ54ᑣiḄ10ᨴ1klA.B.C.D.54P10ᨴᜧᨴᡠ"10ᨴ31᎔-".⍝10ᨴ3k28ᜩlᡠ"10ᨴ1஺⌱9.ᨵ3ᡝeᐳ10¡dᡝe¢2ᨬ4஺£ᐳᨵ¤Ḅ,klA.6B.21C.18D.123ᡝdᡝᨬ2ᡠ"ᐳᨵ6¥¦§BᩭᒕB4¡ªᑖ«3ᡝek0,2,2lḄ¬ᨵ3k1,1,2lḄ¬ᨵ3ᡠ"ᐳ6⌱A஺10.®ἔ᱄Ḅ±_²±Ḅ6³´ἔ᱄±_²Ḅ5³=´"ἔ᱄Ḅ±_²±Ḅ4³஺ἔ᱄®µklA.60B.84C.72D.92P6³ᡠ"᣸◀D,¶·ᐭ⌱⚗AḄ¬60,10,ᙠºeµᦪ»¼¤᪵ᦪHḄ¬B½¾¿ᑁÁᑮᡂ5³Ḅ&¤ᳮB⚗84,16᪵᣸◀AB,ᡠ"⌱Ck72,12Ḅ¬3Ãὅὅ5³l11.ÅÆÇÈᙠÉÊ9ËÌḄÃÍᨵ@ᝂÏḼḄᐢÒÓÔÕÖÅÆḄ×ÒᜧÊÏ5×Ḅ²Øᐢ⌕Ï9×,ÚᐢÒÛÜÝÅÆÏ2×Ḅ¾¿ᐢÒÏ3×஺ÅÆ¢-44-

45ÏËÞAÕ>ᐢÒklA.54B.67C.49D.34ßàáḄ²Øâ9,⌕ã¢ÏËÞAÕ>ᐢÒ,ᡠ"ä§9Ḅ³ᦪ@ᨵAåᔠ஺12.ᔺὁXÇ«ᵬde4éêªëde3éêªᐳÇêª716éìíÇ«ᵬde3éêªëde4éêªᑣᐳÇêª705飺ᐳᨵeA.96B.117C.128D.203º¬îß]7“ºeᦪ%ï”஺ᡠ"716+705/7=20313.ᖪñòᩭº᫜⏀ᜧ᫜ᨵ⏀120ᓟö_᫜ᨵ⏀90ᓟöº᫜⏀ᓬø¤᪵ᦪ&ᜧ᫜ᒕḄ⏀ß]_᫜ᒕḄ⏀Ḅ4³º᫜ᐳᒕᓟö⏀klA.10B.40C.30D.50ᜧ᫜ᒕḄ⏀ß]_᫜ᒕḄ⏀Ḅ4³ᡠ"º᫜ᒕBḄ5Ḅ³ᦪ50/5=10,ß]᦮ᦪùᐜ·ᐭåᔠ⌱D஺14.01᧡ûᑮüýᑜ஺᝞ᙠ5ᩩᙶ3ᐸḄ4ᙶᑣᨵ5᝞ᙠ4ᩩᙶ6ᐸḄ3ᙶᑣᨬḼᩩ஺ᐳᨵᩩA.7B.9C.36D.18!᪷#ᦪ%&'Xᩩᑣ5*3+x-5*4+5=4*6+x-5*3,X=9,⌱B஺15.+AᙢᑮBᙢḄ./0ᨵᚁ23ᚁ/4ᨵ5/,789ᚁ:;:<=20ᓟ?3ᚁ:;:<=35ᓟ?஺9+Aᙢ@ABᙢ◤9;:+BᙢᑮAᙢ◤7.5;:AஹBCᙢḄ./ᨵᓟ?A.300B.250C.200D.210-45-

46!D▭FGᡂᵨᚁḄJKLMNAB,ᡈὅᵨ3ᚁḄJKLQNAB,ᡠF⌱⚗TUV35᦮◀Ḅ0ᨵ210,⌱D஺06ᓅZ11.[\19961997x19971996-19961996x19971997Ḅ]^()஺A.0B.1C.10000D.100!ᦪ]ᣚbḄ⚪deᣚ]ḄfbᦪgT^hbiNb%ᣚᡠF%jḄk^10000,⌱C஺12.lᓝnN;opqᡂᙌᢥt:┐vᔣᙌᙌᙢxyzᦪ஺᝞z22200Ḅ^{N|}ᐳᨵ()N;op஺A.22B.24C.27D.28!&~ᦪᑡḄ200-2=198,ᡠF⌱⚗UV198᦮◀Ḅ0ᨵ22,⌱A஺13.ᨵNᦪ◀F3ᦪ^2,◀F4ᦪ^LgNᦪ◀F12ᦪ^n()A.4B.5C.6D.7!2{23,4.ᦪ12,ᡠFgNᦪ^12n+5,ᦪ^5,⌱B஺14.Nᨵ᪗ᐸា┯MN┯ḄUᨵ()A.60B.46C.40D.20!┯b⚪ᨵN.s(2)=1,s(3)=2,s(4)=9,s(5)=44,s(6)=265...1,2,9,44,265

47ᨵC5,3=10,ᡠF┯3N^s3=2,2*10=20஺15.;¡¢£“ᝤᝤᡃᑮ§¨ᙠg}ᜧ:§31ªᖾ!”ᜧ¡¢£“ᡃ®¯g}ᜧ°±:¯0ᨵ1ª஺”²;¡¢¨ᙠnªA.13B.12C.11D.10!°±⚪ᨬ¶⌕Ḅ¸Cὅ°±~¹º»}:᎛¹½ᦋ;1;¨ᜧ¨ᜧ31¿ÀÁ⊤ÃÀ^N°±~ÄÅ%&ᡠF31-1=30Ç3N°±~À^10஺ᡠF;¡¢¨ᙠ^1+10=11ª⌱C஺16.;Ê2;vᔜLÀ/;ÊLḄ/ÌÍ;v1/5,;vᵨḄ:ÏÍ;Ê1/8஺;Ê2;vḄJKÑÍ^A.3714B.2720C.249D.214!/ÌÍ6:5,:ÏÍ8:9ᡠFJKÍ^6/8:5/9=27:20,⌱B஺17.ᨵ14NÖ×ᐸᨵØ10ᳫḄÚᨵØ20230ᳫḄ஺gÛᳫᐳᨵ250Ø10ᳫḄ×ᦪ&ÜØ20ᳫ230ᳫḄ×ᦪ2஺Ø30ᳫḄ×ᨵNA.7B.5C.4D.3!14N×Ø1ᳫḄ×ᦪ^2ᳫi3ᳫḄ×ᦪ2ᡠFØ1ᳫᨵ7N×ᓽØ2ᳫiØ3ᳫḄÞᳫᦪ^25-7*1=18NØ2ᳫḄ¹º×ᨬᳫᦪß^Ꮤᦪ“18-Ꮤᦪ”^NᏔᦪᡠFᏔᦪ/3,0UÚ^ᏔᦪN0ᨵC஺PS:ᐸD⌕ãä⌱⚗Ḅ'åC⚗Êæçᐸè⌱⚗¹{ᡠF⌕éêëì-47-

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51A.(¸¬50s¹º¬130s஺B.(¸¬50s¹º¬50s஺C.(º¬50s¹º¬50s஺D.(¸¬50s¹¸¬50s஺L6©»᪷M`o...(ᔣ¸(ᔣº¼Bs(᪵,½Tᙠ°ᩭ²ᔣ!⌱!7.(¾¿ᦪÀ¿ᦪ5ᓝ¿!Ḅᦪᜧ4,¿!Ḅᦪ5ᓝ¿!Ḅᦪᜧ2,}¾¿ᦪាîᦪcÄᡂḄ¿ᦪḄ21&·}¾¿ᦪ6GHA.532B.476C.676D.735L6(ÆÇÀ¿ᦪ5ᓝ¿!Ḅᦪᜧ4,©»᣸◀ᣵABCÊ⌱D஺8.ᨵEËᯠᦪAஹBஹCஹD,ÎÏḄÐÑÒ400,ÓBA◀Bᖪ5Õ5,A◀Cᖪ6Õ6,A◀Dᖪ7Õ7&·}EËᯠᦪḄÐ6GH0A.216B.108C.314D.348L6Ö×Ö©»A=5,6,7ḄᨬÙᦪ210,ᑣB=41,C=34,D=29,EᦪÚÛᦪF4,⌱C஺9.^ᖪÜ├Þ(ßᵯᾯ(ᨴᢥ30%ᑭæçè├Þ¹ᨴᢥ(ᨴ90%├Þ¾ᨴᢥ¹ᨴçèḄ80%¶ª├Þ¾ᨴ├ÞḄᵯᾯ5(ᨴéê1820ᐗ஺&·}ßᵯᾯᖪÜḄ¶è6GHA.5900ᐗB.5000ᐗC.6900ᐗD.7100ᐗL6¶èX,ᑣ1.3xG-0.9*0.8H=1820,LX=5000,⌱B஺11.AஹBஹCஹDஹEï4ᙠ(ðᑖF100ᑖḄὃòóᑖôᜧ991Ḅ᦮ᦪ஺᝞öAஹBஹCḄ´ᙳᑖF95ᑖBஹCஹDḄ´ᙳᑖF94ᑖA(øE¾ø96ᑖ஺ᑣDḄᑖ6GHA.96ᑖB.98ᑖC.97ᑖD.99ᑖ-51-

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53◤⌕¾ᮞ¥ÉᓟÇ()A.68.8B.74.2C.83.7D.59.61OᩭḄᜩÅÆ☢16*8=108,ᐸ☢¼2(6*4+18*4)=192,ᡠ4ᐳ'300,ÏÐU◞ᜋ4☢Ḅ☢¼4*6*4=96,ÑaÒÐÓḄ◞ᜋᨵ±}◤⌕Ôx☢¼'0.25(4*4+2*6)=7,XÔx3!º¹☢¼15*3=45,ᡠ4◤⌕¾ᮞÀᑵḄÕ☢¼'300+96-7-45=344$ᐳ◤⌕¾ᮞ344*0.2=68.8,⌱A஺PS:⚪ØḄs᎛ᙠsᑁÚᙠÛvᨵÜ`ÝÞßḄàáâÝᜧᙠãäḄὃæÒçÚèésêëᩭ`¥ìíᡠ4Õᐳ10⍝⚪ḄNë&ïð_⍝ñòḄᐸÒ…ô᜜&ñòö⌕÷øù4ú⚪஺XPS⍝⚪ᨵ¡|1àḄûüᑖýþJ06ᓅ13ஹ1-9ᯠᦪᑖᡂᦪᦪ48஺ᦪ45,ᦪ#$ᦪ%ᨬᜧ()*Aஹ15Bஹ17Cஹ18Dஹ201-9234Ḅ3ᦪ645,7ᨵ5,9,1;3ᦪ648ᨵ:;2,3,8ᡈ2,4,6;=᜜?4,6,7ᡈ3,7,8,ᡠAᨬᜧ18,⌱C஺14ஹ:᦮ᦪD◀ᖪ5,Gᦪ11,H◀ᦪஹ◀ᦪஹᖪIGᦪḄ%99,JH◀ᦪ()*Aஹ12Bஹ41Cஹ67Dஹ71-53-

541Gᦪ11,ᡠAH◀ᦪLᦪ1ᡈὅ6,᣸◀AC;Oᐭ41,ᖪ8,Gᦪ1,ᡠAQ᣸◀஺⌱D஺15ஹRSᡂTUVWᜧ1/10,XTᓄᡂRUVZ)[ᑖ[*Aஹ1/11Bஹ41Cஹ1/9Dஹ1/81\R10,ᑣST11,ᡠAᓄ^RVZ)/11=1/11,⌱A஺16ஹᵨ10`a᪵cḄdᩩfgᡂᩩc61ᔖiḄdᩩ᝞kgᜮᜐn3o1ᔖipqᩩdᩩc()ᔖi*Aஹ6Bஹ6.5Cஹ7Dஹ7.5110`dᩩᡠA9gr(61+9*1)/10=7,⌱&17ஹtuvᨵwxᳫz{|}~ᐸ$Ḅᳫᐳ᪵|t$ᨵ3ᳫXᩭt$ᨵ()ᳫ*Aஹ18Bஹ34Cஹ66Dஹ1581᎔gAJ~34,⌱B஺18ஹᨵRᨵR2~⌕RḄRx,10R◤8z8R◤12z᝞kᵨ6Rpq◤()z*Aஹ16Bஹ20Cஹ24Dஹ281:ᐺᔛ₝X⚪ᐜJ~ḄR¥:8*10-8*4=48J~Ḅ¦§(12*8-8*10)/(12-8)=4;ᡠA48/(6-4)=24,⌱A19ஹ¨ᖪ©ᢥ5ᐗᑭᓬ~11Ḅ¯°ᢥ11ᐗᑭᓬ~10Ḅ¯ᓫ(;ᖪ©Ḅᡂ²()ᐗ*A.11Bஹ33Cஹ55Dஹ661\ᡂ²X,ᑣ(X+5)/(X+11)=10/11,³´~X=55,ᐸµvAgO⌱⚗⌱⚗·5U¸¹ᑖUºᡂ10,-54-

557ᨵ55»ᔠ⌱C஺20ஹ½ᜧ᱅ᙠÀÁÂᦣÄ$ÅᙳᒴᙢÉḼË᪛½ᜧ᱅ÍÎ᪛Ïᑮ15Î᪛ᵨ7ᑖÑ஺½ᜧ᱅ÒÓÔÏ[Î᪛U?ÓÏÕÖᑮÎ᪛ᐳᵨ30ᑖѽᜧ᱅ᦣÄᑮ[Î᪛×ØÓÏ*Aஹ32ÎBஹ33ÎCஹ37ÎDஹ38Î1Íᑮ15ᐳ14ÙÚÛÙ?7/14=0.5ᑖÑᡠA30/0.5=60Ù,\ᑮXÎÓÏᑣ(X-l)+(X-5)=60,ᡠAX=33022ஹ1999Ý☘Ýß“áÝᡃḄãäåæᡃçᙠḄÝèéêᡃ~ãḄÝëḄìᦪ%”☘ÝîÝ~ãḄ*Aஹ1975Bஹ1976Cஹ1977Dஹ19781gOᐭï⍝⌱ñ23ஹ᝞òᡠó,AB:ôᵫᩩö÷Døùᒴ¦Ôû,AB,ÍAôᑮBô◤Ë3ᜩýþÍBôᑮAô◤Ë4ᜩ,ÍAôÿ
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56ᵨḄ+?64*30+3*5=135ᑖ/⌱B஺06EF41.10GHᵪJḄGK6LMNGKḄ7715GOᵪJḄGK6MNḄ27ᑣMNPᙠḄGK6()஺A.45B.15C.30D.10RSTᐭ⌱V42.'WXᔣZ[\]ᖪ_\]`▲62Gᑭ᳛10%,dWXeᓽᵨgh\]ijᢇlᱥ$noiᐭpḄ35%ḄpqrstGᑁsv஺ᵨᡠ!ᦈᐭxy\]Oxz;6{ᐗᑣgh\]6()ᐗ஺A.30{B.40{C.45{D.50{:\]X,ᑣ(1+0.2)X+6=(1+0.35)X,ᡠ$X=40,⌱B஺43.ᙠj~ᑮ~?ᑖ┐>+᎛+┐᪀ᡂR()஺A.1~21911ᑖᡈ1~54611ᑖB.1~21911ᑖC1~54611ᑖD.1~ᡈ2~j<+ᑁᨵt@ᡂRᡠ$ᨵA஺44.7᪵Ḅ5280ᔴ஺Pᙠ'ᙢ◤⌕320ᔴ_ᙠ4ᑁv◤⌕᪵ḄN()oA.8B.10C.3D.2:jj6280/(7*5)=8,ᡠ$jᐳ◤⌕320/(8*4)=10,◤⌕10-7=3⌱C஺45.j᪥Ḅ750¢£ᡈ)ᔊ¥¦ᡈ)§¨¦ᡈὅtª¦«)஺᝞9ᨵ489¢£)ᔊ¥¦606¢£)§¨-56-

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஺A.117B.144C.261D.345489+606-X=750,ᡠX=345,⌱D஺38.!"ᡧ$Ḅ☢'(314)*ᔖ,-ᡠᙠḄᙊḄ☢'(1256)*ᔖ,ᑣ1ᡧ$Ḅᙊ23(஺A.180°B.60°C.240°D.90°3604Ḅ1/4,⌱D஺41.ᙠ5ᳫ789:!;<3ᑖ)!;<1ᑖ>!;?<ᑖ᝞!"5ᳫ@ᙠ8A9<61ᑖᙠᡠᨵḄ24;789B>C3;DEF"ᳫ@!ᐳ:C;஺A.19B.20C.21D.18Hᡈ)Ḅ!ᐳ(21;JCKLMNOP⍝BRᔠ஺-62-

6342."VWḄXYZ[\]^_!"XY9\`]Ḅ7a(31,d!"XY9\`]Ḅ7a(41,efX\]^_gᔠᑣgᔠ_9\`]Ḅ7a(஺A.319B.455C.3140D.解54数:3:1!ᐳ(4o41!ᐳ(5oᡠpᨬrst例,uᓄwὅ
(20oḄyz15:5`16:4,ᡠ7(15+16:5+4=319,⌱A஺43.~ᨵ᪵ஹᜧrᐰVWḄᱏ☢ᑖᑏC1ஹ2ஹ3ஹ4"?WḄᦪ᝞?ᦪpᑣ
ᑮ2Ḅᭆ᳛(஺A.1/2B.1/4C.1/8D.1/16:
ᑮ2Ḅᭆ᳛(1/4*1/4=1/16,⌱■44.ᖪ;ᨵ7£¤¥¦£ZḄᒹᦪVW᝞J¦£¨©ª25ᒹ¤¥DE7"£¨ᒕ¬Ḅ¤¥ᒹᦪV®¯ᩭḄ2£¤¥¯ᩭ¦£¤¥ᨵᒹ஺A.25B.30C.50D.357±²ᓫO´µᑡ*·7X-25=2X,ᡠX=35,⌱D஺06º:9.200◀500,ᖪ2¼100,᝞½◀ᦪ`◀ᦪ
᡽ᜧ3t,ᑣ¼ᦪ(஺A.100B.200C.300D.100000ᖪ?¿¼ᦪÀḼ᡽ᜧ3tᡠ(300,⌱C஺10.rÂÃÄaÄÆÆÂÄa-4ÇÈÉcÄËÌVÍ0஺A.4ÇB.c+4ÇC.5ÇD.c-3Ç-63-

64?ÎÉÄÏÄÐÍÑÒ?Óᦋ¿ÕÃÄÆÆ(a-5ÇᡠVÍ5Ç⌱C஺11.~ᨵ200᪷VWḄ×Îf-ÌᚮᡂÚÛ3$ÜÝᒕ¼Ḅ×ÎÞOßḄDEà¼Ḅ×Îᨵ()஺A.9B.10C.11D.1220ãḄyz(1-20Ḅ`!ᐳ(210,äªCᡠåæᨬ!ã20ᒕ¬190,ᡠᒕ¼Ḅ×Îᨵ200-190=10᪷஺12.¬ᑡ"ᦪ
(çèᦪX(710rḄéᯠᦪY(ë,!ìßWí½2ஹ3ஹ5᦮◀Ḅᦪ(()஺A.XXXYXXB.XYXYXYC.XYYXYYD.XYYXYXY(0,ß½2ஹ5᦮◀ḄᦪYïìᨬᡠBὃ⇋BCß½3᦮◀òóᡠᨵᦪVô(3tᦪB⚗(3"0,3"X,ᡠß½3᦮◀⌱B஺13.⌕÷⌼!"'w8ù*,úw2,Ḅû*üýþ]ÿ᝞Ḅ⌼ᑖ120ᐗ80ᐗ,Ḅᨬ⌼ᐗ஺A.800B.1120C.1760D,2240X,Y,ᑣᨵ2XY=8,ᡠ!XY=4,"#ᨬ⌼,ᡠ!$X=Y=2,ᑣ%ᐳ⌼'ᡠ0XY+80*4X+80*4Y=480+320(X+Y)=1760,⌱C஺15每.+,▾ᑁ/01ᨵ23154546789:7,8;<ᣚ76>+54?:67@ᑮB>C54D?值7ᨬ◤()ᜩ஺A.解15B.35C.30D.5所:J'?᪵Ḅ⚪M..C(15,2)=105,6ᜩ3N8;<选B-64-

6518.OPQRḄ455STUVWᨵ4XYᐳVW36>,ᑮQᐳᨵ()4஺A.9B.10C.11D.12defgN(N-l)/2=X,X=36,ᡠ!N=9,⌱A஺19.ᵨ1,2,3,4,5CqNᦪstᡂvᨵwxᦪsḄyᯠᦪ{;ᑮᜧ}~᣸ᑡ1,2,3,4,5,12,……,5432Lᐸ206Nᦪ'A.313B.12345C.325D.371tᡂ6ᦪḄᨵ5N5ᦪḄᨵ5*4=20NᦪḄᨵ5*4*3=60NᦪḄ5*4*3*2=120N4ὅḄ'205,ᡠ!206Nᦪ'ᨬ;Ḅqᦪ12345,⌱(ᐸC6⚪᪷⌱⚗!⌱B5NwxḄᦪtᑮ206N'ᦪ஺)20.ᩩᙳ᦮ᦪ¢ᨬ11Ḅ£¤ᨵ0N஺A.21B.23C.25D.366x,¦6y£¤¨©5ᜧª«'X+Y®ll,ᡠ!¯x=ll<,y!$1-11,11N¯x=10<y!$2-10,9N....°±⌴³ᑮ1,ᡠ!6ᐳ'11+9+7+5+3+1=36N,⌱D஺-65-