公务员考试数学复习总纲

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8k᣸ᡂm᣸᯿o.(1)rᵬtᙠ᣸ᜮQ$ᙠ᣸wḄ᣸ᨵ(3600)ூ᪆௃*⚪xᡃᑖ29ᡂᐜᵬ᣸ye᣸ᙠz[Ḅ5P{zḄᓽC5&1=5'ᒕ1Ḅ6ᓽRSPFᑣP66=720ᡠ7|ᦪ5720x5=3600(2)r}=$ᙠ᣸ᜮᡈ᣸wḄ᣸ᨵ(1440)ூ᪆௃}ᙠP{᣸ᜮ᣸w⌱ᐸ•C2&1=2'ᒕ1Ḅ6RSPFᑣP66=720ᑣ|ᦪ5720x2=1440(3)ᵬᙠ᣸ᜮᡈ᣸w}ᙠz[Ḅ᣸ᨵ(3120)ூ᪆௃ᱯ?@ᐜ᣸ᱯ?@ᵬᙠ᣸ᜮ᣸wᙠz[Ḅ?@◀3P{ᒕ14P{ᵬ⌱8C4&1=4,ᒕ16P{ᐜz[P{ᓽ◀ᵬ}2ᐸ5#7ᓽ75ᒕ1Ḅ5P{RSPFᑣᓽ5xP55=5x120=600|ᦪ54'600=24002?@ᵬᙠ᣸ᜮ᣸wᵬ᣸ᙠz[P{ᑣᒕ1Ḅ6P{RSP66=720X25ᑖ஺ᡠ7ᨬ;Ḅgh5?@Zᓽ2400+720=3120(4)ᵬஹ}oḄ᣸ᨵ(1440)ூ᪆௃oᵨᣊFᑣ27P{ᡂ6P{ᓽᑖ1⌱P{C6&1=62⌱ᩭḄ2P{ᵬ}ᙠ᣸ᓽP22=2ᑣ᣸ᵬ}Cᔠ?@Ḅᦪ52x6=12ᒕ1Ḅ5ᓽRSP55Ḅ=120ᑣᨬ;gh5120x12=1440(5)ᵬᙠ}Ḅ¡(o)Ḅ᣸ᨵ(2520)ூ᪆௃*⚪x£H¤¥¦4᣸ᵬ§ᙠ}Ḅ¡§ᙠ}Ḅ¨¡Ḅᭆ᳛5᪵Ḅ஺ᡠ7ᡃὃ⇋¨⚪ᑣ|ᦪ5P77=5040᪷¯¨ᭆ᳛o°ḄFᑣᑣ᣸ᙠ¡Ḅ?@ᦪ55040+2=25204ஹᵨᦪN0,1,2,3,4,5OᡂBᨵ±²ᦪNḄᦪ.(1)$OᡂLPᦪ(300)

9ூ᪆௃LPᦪ³´PᑮµP´Pᱯ$᣸0஺ᑣ=ᨵ5#$ឋ¶1ᩭ3P{RSP53Fᑣ=5x4x3=60ᓽ|ᦪ560x5=300·2
$Oᡂ¸ᯠᦪ·1631
ூ᪆௃¸ᯠᦪ5³Pᦪᡠᨵ?@ᑖ?@1PᦪC6&1=62PᦪC5&2xP22+C5&1XP11=253PᦪC5&3xP33+C5&2xP22x2=1004PᦪC5&4xP44+C5&3xP33x3=3005PᦪC5&5xP55+C5&4xP44x4=6006Pᦪ5xP55=5x120=600|ᦪ51631*+º1VW»¼½᝞¿2PᦪC5&2xP22+C5&1XP11=25ᐜ³50Ḅ5ᦪNz&2᣸ᑡᓽC5&2xP22Áᨵ?@5³50Ḅ5ᦪNz⌱•0Â(ᡂ2PᦪᓽC5&”P11X20$^2ᨬ´Pᡠ7ᨬ´P=ᨵ1#$·3
$OᡂÃP᜻ᦪ288
ூ᪆௃´P$20P2᜻ᦪ1,3,5ᑣᐜὃ⇋µPÅὃ⇋´Pᓽ3x4xP44=12x24=288·4
$Oᡂ$Æ25᦮◀ḄLPᦪ21
ூ᪆௃$Æ25᦮◀Ḅ4Pᦪᨵ2#$;2P5253x3=9;2P550P42=4x3=12ᐳV9+12=215
$Oᡂ½201345ᜧḄᦪ·479
ூ᪆௃³ᦪN201345*6Pᦪ65ᨬ´P22ḄᨬÊ6Pᦪᡠ7ᡃ6ᨬ´PᜧË°Ë2Ḅ6Pᦪ54XP55=4X120=480ᣵ201345*ᦪᓽ½201345ᜧḄᨵ480—1=4796
ÍᡠᨵOᡂÎPᦪḄ|.·32640
ூ᪆௃P{ᩭᑖ᪆•1ÏPaḄM1=100xP525+4+3+2+1
ᓝPaḄM2=4x4x105+4+3+2+1
PaḄM3=4*45+4+3+2+1
|M=M1+M2+M3=326405ஹÑÒrÒÓ100Ôᐸzᨵ2Ô5ÕÓ§ᙠÖ&5Ô×ØÙÚ.·1Û“ᐸzាᨵÔÕÓ”ḄÖᨵ·152096

10ூ᪆௃Q<5¿ÆÖÚḄ5Ôzᨵ3ÔᔠßḄᓽ5³98ÔᔠßḄ&ᩭḄᡠ7ᓽC2&2“C98&3=152096(2)“ᐸzាᨵÔÕÓ”ḄÖᨵ(7224560)ூ᪆௃aàᑖ᪆ᐜ³2ÔÕÓzᢧ1ÕÓų98ÔᔠßḄÒÓzᢧ4C2&1xC98&4=7224560(3)“ᐸzBᨵÕÓ”ḄÖᨵ(67910864)ூ᪆௃ᑣᓽᙠ98ᔠßḄzÖ&5C98&5=67910864(4)“ᐸzâᨵÔÕÓ”ḄÖᨵ(7376656)ூ᪆௃ᐰä᣸ᑡᯠ;ᣵBᨵÕÓḄ᣸ᑡ?@<5âᨵ1ḄC100&5-C98&5=7376656(5)“ᐸzâᨵÔÕÓ”ḄÖᨵ(75135424)ூ᪆௃ᡠᨵḄ᣸ᑡ?@zᣵᨵ2ÔÕÓḄ?@ᓽ5âÔÕÓ?@ḄC100&5-C98&3=751354246ஹ³4åᵬæ5å}æᵯèéz
ê&3åᐸzâ⌕ᨵᵬæ}æᵯèéᔜ1åᑣḄ&ᐳᨵ()(A)140(B)84(C)70(D)35ூ᪆௃᪷¯ᩩÔᡃ#7ᑖ2?@•?@2åᵬ+1å}ᓽC4&2xC5&1=6x5=30'?@1åᵬ+2å}ᓽC4&1xC5&2=4x10=40ᡠ7|ᦪ530+40=707ஹᙠ50ÔÒÓzᨵ4Ô5ÕÓ³z
Ö5Ôâᨵ3Ô5ÕÓḄÖᨵ.ï᪆௃âᨵ3Ôᑣ¿ð53Ôᡈ4Ô3ÔC4&3xC46&2=41404ÔC4&4xC46&1=46ᐳV54140+46=41868ஹᨵᵬஹ}ஹñÎ⚗
óᵬ◤2õö}ஹñᔜ◤1õö.³10z⌱÷4õö*Î⚗
óḄ⌱ᐳᨵ(C)(A)1260(B)2025(C)2520(D)5040ூ᪆௃ᑖ9ᡂᐜ³10zᢧ⌱4Ḅ»ᨵ0104X4=210'ᑖ(ᵬ}Ḅø^5C4&2xC2&1xC1&1=6x2x1=12?@ᑣ᪷¯ᑖFᑣEᐵú210x12=25209ஹ12ûᑖüᑮÎḄýþ×Øÿ
Ḅ4ᑣḄᑖᫀᐳᨵ.C(4.12)C(4,8)C(4,4)

11ூ᪆௃ᢥὃ⇋"#$C12%4"&$C8%4"'$C4%4ᑣ()$C12%4xC8%4xC4%4*+ᑮ-./ᨵ01'ᩩḄ$◤⌕P33ᔩᐸ7$.᪵Ḅᙠᡃ;<12=>?@%ᦪḄB᎛,ᐸ7E.FᑖGHIJKᒹM-NḄHIḄᒹM஺᝞)QxP33ᑣ$RSὃ⇋-᝞)./ὃ⇋Ḅᓽ$UᑣHIV#᪵WXᡃ;ᙠᑖᦪḄB᎛ὃ⇋-Ḅ஺ᡠZᨬ\⌕]◀.*+HIᡠZᙠ_`()ḄHIa⌕+P3310ஹᙠ#c⁚e⊤=gᨵ8⁚ehᢝgᨵ⁚eḄUNjkQlm'⁚enᐳᨵopq᣸st990ூ᪆௃.$᣸ᑡvᔠḄ#sxy2z{s|}~Xᦑ*ᐜᵨ#⁚e]z9{ᨵP(9,1)s;Qᵨ#⁚e]z10{ᨵP(10,1)sᵨᨬ\•⁚e]z11{ᨵsᵫsgᳮᡠᨵḄmsXP(9,1)xP(10,1)xP(11,1)=990஺ᐜᙠ11=᣸_Ḅ'⁚eᨵP(11,3)QᙠaḄ8⊡_gᨵḄ8⁚eᨵ#ᡠZᡠᨵsᨵP311X1=990஺4.ூᑖ௃᣸ᑡvᔠὅ(ᜩ1)2009-2-19#ஹ᣸ᑡvᔠ1ஹ$CC$ᢣvᔠ

12vᔠC(M,N)=M!4-(N!X(M-N)!)ᩩÇN<=M᣸ÈljA(M,N)=M!4-(M-N)!ᩩÇN<=MX-ᙠy᣸ᑡvᔠḄºÉ=+ÊNËÌᨵÍ⌕Ḅ⌕nᡃ◤⌕ᜧÏ+ÊÐÑḄÒÓḄ▤Õᯠᙠ®ÃḄºÉ=ᡃ;⌕×0<⌮ᔣÚÛÜÌὃ⇋Ý⚪¤᝞C(M,N)Õ=N%Þºᜧßᡃ;*Z¼M-NḄÞ$ᔲáâᜧ஺᝞)ᜧ஺ᡃ;*ZnC(M,[M-N]),WXC(M,N)=C(M,[M—N])&ஹ᣸ᑡvᔠãäḄឤæ1ஹC(n,0)+C(n,1)+C(n,2)+......+C(n,n)=2An2ஹC(m,n)+C(m,n+1)=C(m+1,n+1)┐N.2vᡃᩭ褮ᵨ(1)ᨵ10ᙽêᎷìᜩîpᔛ1ᙽÝᨵopḄᔛst~:C(9,0)+C(9,1)+......+C(9,9)=2A9=512(2),ñE14ò²óôᙳᑖöᵬøù⌱ªûmüýḄ²óᢥ᯿⌕nᵬ½øo⌱1òÁJÿᵬᢥ᯿⌕ᢧ⌱Ḅᢧ⌱Ḅ70,ᵬᢧ⌱C(8,n)=70n=4ᓽᑮᵬ⌱4஺!ஹ᣸ᑡ%ᔠḄ'(ᳮ*+⌕,ᑖ(ᑖ/ᑖ0)(1)ஹ2ᳮ(3456789ᑖ/2ᑣ);8<ᱥ>?7ᵫABᨵL,3▭5OPᑖᩭRS᝞ᡃGH⍝U8ḄLVJ67ᡃG⌕]Ḅᑖ/2ᑣ஺᣸ᑡ%ᔠ^_^ᡃG⌕`8bᡂḄOcឋ9/ᡃGOPeJᑖᡂABᩭfg஺ᓄ᦮jk᝞;7aᡂ?◤⌕ᑖᡂn<0y80ᨵml9Ḅy0ᨵm29Ḅyn0ᨵmn9ḄᡂJ>aᐳᨵN=mlXm2Xm3X…Xmn9Ḅ.k᝞;7aᡂ?A7ᨵn/7ᑖ/u⚪y-/_Ḅp7¥©Ḅ¯°ᵨ2ᳮ±ᡃGH⍝ᑖ02ᑣ672ᑣ஺>a◤⌕ᑖn<0007²³ḄqᨵeᑖᡂḄAB<´µὶ£Ḅ0¶·µ¸ᡂJ>a¹Rᡂ¯°ᵨ2ᳮ.¨ºᐸU8<0p7ᨵ»ᯠὶ£Ḅ஺7µ´¶☠Ḅᐵ£஺ᡠP«ᵨ2ᑣ஺J᪵ᡂ8>aḄᑖ“/”“0”7ᨵᩈ4Ḅ¯°e<2ᳮᑖÁᩭ

13(3)ᱯÃÄᐜ8Å·⌕Ḅ2ᑣk⚪;(1)Æ1ஹ2ஹ3..........20Jᓝ<ᦪ_É!<Ḅᦪ%ᡂ[ÊᦪᑡJ᪵Ḅ[Êᦪᑡᨵ8<஺y80᪀Ì᣸ᑡ%ᔠḄÍÎÏÐ᝞ÑᦪÒÓÔÕᣚḄu⚪஺(2)ᙠ8ᙽ×᣸Ḅ10ᚘᵪᙢ_⌱Ûᚘᑖ9ÜA,B9ÝᱥU99Ü8ᚘᨵᑭ\Ýᱥßà⌕A,B9ÝᱥḄ◞\6ᚘḄ⌱ᐳᨵ9஺y8/;Aᙠy8ᚘBᨵ39⌱Û±y/;AᙠyᚘBᨵ29⌱Û±y!/;Aᙠy!ᚘBᨵ89⌱ÛᳮAஹBnâ´ᣚᐳ129஺(3)Æ6ãä⁐Ḅæᝅ_É4qᐸ_ាéᨵ8ã⁐ḄÉᨵ஺(A)240(B)180(C)120(D)60ᑖ᪆;ëᯠ(⚪ìᑖ0íî஺(-)Æ6ã_⌱8ã⁐ḄæᝅᨵC(6,1)9±()ÆᒕḄ5ãæᝅ_⌱2ãᨵC(5,2)9஺(!)J2ãOPÉᐸ_Uã_Ḅ1qðñᔜᡂã±ᓽC(6,1)*C(5,2)*2A2=240(4)óô´µḄ6?@
ὃ0᪵C᪵7?a=1-b஺D⚪7F᣸G0ᵬᙶᙠKḄLM(2OPQ)ḄSTᨵVWXYD⚪Z[\ᨵ8⚔^ᡃ`a⌱?40ᨵVWXST4^᪀ᡂb☢\Ḅ஺D⚪ᵨ0,2,3,4,5eᦪf0ᡂgᨵhiᦪfḄj&ᦪ0ᐸlᏔᦪᐳᨵ()A.24B.30C.40D.602ஹ8pᨵᱯrᐗஹᱯr&sḄ⚪——uᵨᱯrvᐜx᣸Ḅyᶍ(1){ᐵ.}ᱯr&s#ᑖḄᐗᡠᡂḄᔠḄD⚪ᵨ0,1,2,3,4,5ᦪfᡂVW10᦮◀ᦪf2CḄ&ᦪY(2)ᒹp.}ᱯr&s#ᑖḄᐗᡠᡂᔠᐹᨵᒹᔠᐵD⚪ᵨ0,1,2,3,4,5ᦪfᡂVW5᦮◀ᦪf2CḄ&᜻ᦪYP55X-P44=120—24=96ᵨ0,1,2,3,4,5ᦪfᡂVW25᦮◀ᦪf2CḄ&ᦪY25,75(3X3X2X1)X2+P44=36+24=60

14
3.}ᱯr&s#ḄᐗᨵPCḄ0ᨵ2CḄ஺D⚪ᵨ1,2,3,4,5eᦪf0ᡂ20000ᜧ&ᦪf23ḄgᨵhiᦪfḄe&ᦪᨵVWY3ஹ8pᨵᩩḄ᣸ᑡᔠ⚪-----uᵨᔠᳮᑖᑖḄyᶍD⚪¡☢#4ᩩ¡¢£¤᜜5ᩩ¡¢£¦Pᚖ¢0ᑣ©᪀ᡂḄª«ᐳᨵ஺¬᪆ᢥ᪀ᡂª«Ḅ¯°ᑖ±᝞³}´.ᐜᙠ4ᩩ¡£l`}ᩩ0ᨵC42X¶´·¸ᙠ5ᩩ¡£l`}ᩩ0ᨵC52X஺᪵?Ḅbᩩ¢£᪀ᡂª«0¹º»ᳮ0᪀ᡂḄª«ᐳᨵ6X10=604ஹ8᣸ᑡ¼½ᔠ⚪——uᵨᐜ⌱¾᣸yᶍ4᣸ᑡᔠḄ½ᔠ⚪0uᐜ⌱?ᐗ0¾᣸ᑡḄyᶍ஺D42C¿ᳫÁᐭÃı1ஹ2ஹ3ஹ4ḄbÅÆ0ᑣាᨵÅḄÁᨵX஺1445ஹÈÉÈÉḄᩩ᪀ᡂ1ᐗPC02ᑖ2C03ÊËÌWᑖÍ1ÈÉḄ.
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=15(à®A"ÕìIᩩÔÈḄ3ÐïQÔḄSÐ"/4Ðᐳ☢ᨵ6(à®íA"ᵫSh᪀ᡂḄnò"ÓḄ4⚔Ðᐳ☢"ᨵ3(஺ÈíAUVᔠ⌕Róᣵ"ᡠÕᐳᨵ210—4815—6—3=141(஺ÖᫀNDoÐØNÙ⚪`âᜧ"Q.©ÊÝÞß⌕ö"÷ḄὃøÌÄÁaSÐᐳ☢ḄÁ(UVà᣸ᑡஹ5ᔠSù`ᑣû᧕Ḅ⚪ᢈýïᑖAþÆḄᦪuÉÊ஺ÁaB᣸ᑡ5ᔠF⚪Ḅÿᶍᨵᐵᔠ⚪ᙠᔜ⚪Ḅ⌕ᐹᜓ᣸ᑡᔠḄᨵᐵ!"⌕#$%ᐵḄ.'⚪()⚨ஹᮣ-ஹ./⌕012⌕#$34ᵨ6ᶍ.7ᑖ:

16;1ᙊᕜ>ᨵ2n?@ᑖA(n>l),BᐸD?AE⚔AḄGHDHIḄ?ᦪE.KL⚪ᡠḄDHIᓽEᙊḄᑁPGHDHIᵫR☢TᑖU:VWKᐜY2n?A᪀ᡂG\(ᓽ^_)ᐳᨵn4bcdeYfgḄ(2n—2)?Ab7AhEGH⚔Aᨵ(2n-2)4ibc.ᦑkᐳᨵn(2n-2)=2n(n-l)?GHDHI.ᦑl2n(n-l).;2KYmᔠ0ஹ1ஹ2ஹ3ஹ5ஹ7ஹ11
nb3?ᐗpᑖqhEGrstAx+By+C=0ḄAஹBஹC,ᡠuḄvᙶ᪗yAyGrᐳᨵ7ᩩ({|ᵨᦪ}ᩭ⊤).K1EGrvyAᡠBC=0.Y1ஹ2ஹ3ஹ5ஹ7ஹ11'6?ᦪnb2?hEAஹB,UᦪḄi⊤ḄGriᡠBGrḄᩩᦪEP(6,2)=30.ᑖ;33_Ḅ7?⚔AEA,Yᐸ⚔AᔜḄAb3AAᙠi7R☢>ibcᨵ()(A)304(B)334(C)364(D)394KᔠᩩḄbcᑖDKজ4?A(A)ᙠi7☢>ᨵ3=304dঝ4?A(A)ᙠAḄ☢ᓃᨵ34dᵫcyᳮibcᨵ334ᦑ⌱B.D᣸◀c;4YsḄ6?☢⌱b3?☢ᐸᨵ2?☢%Ḅ⌱cᐳᨵ()(A)84(B)124(C)164(D)204Kᵫ?nb3?☢ᐳᨵC(6,3)=204᣸◀ᣵ3?☢%Ḅ4ᦪᓽ8?H>3?R☢%ḄᱯIᐳ84ᦑᔠᩩᐳᨵ20—8=124ᦑ⌱(B).;5_IḄ⚔Aᐳ7?ABᐸ3?AE⚔AḄDHIᐳᨵ()?¡KY7?Anb3?AᐳᨵC(7,3)=35?᣸◀ᣵ.᪀ᡂDHIḄI.3Aᙠi7Gr>ᨵ3?ᦑᔠᩩḄDHIᐳᨵ35—3=32?.3¢ᓄc;6¤¥?AnDAᐳrn3Aᐳ☢ᑣv§UAḄGrᨵ¨©ª☢Gr¡Kὃ⇋ᑮ§7?D┵TḼ3ª☢Gr°⚪±¢ᓄE.᪀ᡂ¨©?D┵.ᵫ²'?A᪀ᡂC(6,4)=15?D┵ᦑᐳᨵ3X15=45ª☢Gr.;77?ᙊḄᙊᕜ>ᨵ10?A§U?A³P7ᩩ´'µ´ᙠᙊᑁḄ¶A?ᦪᨬ¨ᨵ?¡Kὃ⇋ᑮ§?¸3_IḄUᩩHrT7?¶Aᑣ°⚪¢ᓄE᪀ᡂ¸3_IḄ?ᦪ.¹ᯠ᪀ᡂC(10,4)=210?ᙊᑁP3_Iᦑ10?A³ᡂḄAᨬ¨.ᙠᙊ¶A210?.6ஹ»⁐°⚪K½¾¿I»⁐BÀᵨᱯÁÂÃᐜᜐᳮḄscᩭᑖ:Å஺¿I»⁐Àᵨ᝞gÈÉÅKAn=(a-1)An+(a-l)X(-l)Ann⊤ÊᑜᑖḄ?ᦪa⊤Ì⁐4yᑣKÊ»⁐ÍᑖÎÏÐᢥÎÏVW»⁐᪷ÓÔᑖᙠᡠᨵÊ»⁐ḄÁÂÁᑖᱯ7ÕᱯÁÂÃᐜᜐᳮ;⚪1KÖ34hᱥ4Øᙠ᝞Ù4ᡠḄ5ᙽÛᵪݧᙽ4Ø,4hᱥ!%ḄÛᵪ.4i74hᱥ஺ᑣᨵ¨©44Øsc¡ABCDE;⚪2Kᵨ54iÌ⁐EÙABCDEß?Íᑖ»⁐%Íᑖ.i⁐ài74Ì⁐BáâᵨBᵨᑣᔠ⌕Ḅi»⁐scᨵ¨©4¡

17BADC-----------Ù2l————1—1—;⚪3KÖ7?3┵Ḅß?⚔A»⁐i7ᩩḄ2?ãAi⁐!äᵫß?Ì⁐Bᵨᨵ¨©4»⁐sc¡;⚪4K7?ᙢÁᑖE᝞Ù4ᡠḄß?WæÁÂᙠᨵ44Ì⁐ç⌱èéᙢÙḼ⁐⌕%ÁÂi⁐êëᑣᨵ¨©4»⁐sc¡;⚪5Kìíîïðñ⌼ó7?ôõᑖ6?Íᑖö᝞Ù5
ᙠ⌕÷444iḄÌ⁐Ḅô§Íᑖ÷474!%Íᑖ.4i᪵Ì⁐Ḅôᑣᨵ¨©4i÷4sÉ¡5.ூᑖ௃᜽Ḅ᣸ᑡᔠ⚪#$ᑡ%&'>ùúóûüḄᦪýþᳮ50⍝ᜧ᧜ᙠᡃḄ⍝᣸ᑡᔠ᜽ᜧ.ὁ,᝞"#$%&Ḅ'(⌕*+,&⊤./01Ḅ23,,-51,2,3,46ᡂᦪ9:;Ḅ<=ᦪ>?ᐸABCDᦪ9:3E஺GH᪆Jᡂ3=ᦪᡃK&ᐸLMN=OPQ=ᓝ=N=5SẆU/VWXYZ[N=O\]^᝞1,_ᐸ`Ḅ2N=OaᨵcdeᔠCfNᜧgh⍝ᒕjḄ3Nᦪ9Ḅᐰ᣸ᑡP32ᡃKẆUḄ=OalNᦪ9gXmP32nᡠ&lN=OaḄᦪ9pBW%&?mᩭrN=:P32*1+2+3+4
=60

18ᓝ=:P32*(1+2+3+4)*10=600Q=:P32*(1+2+3+4)*100=6000ᡠ&AB6660P-5u“PROBABILITY”11N9v᣸ᡂMᑡ᣸ᑡᦪᨵewxᢝP,R,0nz{U᣸ᑡᦪᨵMe஺GH᪆JfN⚪}W~ᐰ᣸ᑡm;ᐗḄ⚪:ᙠᡃḄ᜜•N+☢ᨵ:http://bbs.qzzn.com/read-htm-tid-9487547.html1
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=9979200஺ফ2N⚪⌕xᢝPROḄzWuPROS;ᐗPB,I¡Ḅឋ£5ᑣᐸ᣸ᑡᦪᨵ11!/2!x2!x3!
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ᐜÓ5NᵱḄᡈ5N᝕Ḅᐜᙶjᩭᐰ᣸ᑡÕÖP44,×mᩭḄ=O`KḄØPÙ®5ØPÙ®5Ḅᐰ᣸ᑡfNÚ᎛ᨵrÉ᯿ᱥᡠ&᣸ᑡP55ÒᫀWP44*P55=2880e

19(2)ᐜÓ¾1®ᝣM/Ý=ᐭÝᐸ᣸ᑡWP11(àá:P22)fNÚ᎛ᐸ`8N1ãᐭÝWP88,ᡠ&ä⚪ÒᫀP88(3)l/®ᝣ/½ᙶWᣊæḄ⚪.5/=OᨵM=O6SÉ᯿=OMNᐭÝḄ®ᝣḄᒕjḄ4=OWP44,ὃ⇋ᑮᒕjᩭḄ4=O®ᝣ%&êᣚ=OᓽP44*2ì4=384(4)®ᝣ¬À»◞½ᙶ.ᡃKᐜul/®ᝣᣊæ_W5NᐗÏÄᐰ᣸ᑡᓽP44fᙠÑឋ0aíᑖᵱ᝕'62Nᐗ%&êᣚ=OᓽÒᫀP44*2=48e(ï$ðñḄf:*2ì4S⌕êᣚ=Oòó5/®ᝣg$ᣚ⌕:ᯠW:xᢝᵱ᝕»◞)(5)®ᝣ¬fN⚪ôᯠ^4N⚪ᓫcrᓽ'6ᣊæÒᫀWP44Dfᓾl/®ᝣöᖔ=Og%&øMeùúḄ.ᓽᨬ(ÒᫀP44*2^5(6)ᐜÑᜧùᔣaý]ᵱ᝕ᑖþÝ_ᡃK%&ÿឋ2ᐗᐰ᣸ᑡ.ᓽP1.1,ᒕḄ5ᵱ5᝕ᓫᐰ᣸ᑡᡠᫀ!P1,1*P55*P55(#)ᙠ&'⁚)⊤+,ᨵ8⁚)./0ᢝ,ᨵ⁚)Ḅ234567.89:;⁚).<ᐳᨵ>?@A᣸BCDEF᪆HI⚪)2KᜧMNOP!ᡃRIS2008TUMVWᕒὃZḄ&⍝⚪)\I!᣸ᑡ]ᔠḄ•@BC`2SabCᡈ>SabCdFefg.ᡃRh⍝8⁚)23•ij6k.lmᐳn9o◞.ᦑrᐜᵨ&⁚)ua9bi.ᨵC9v1@BCwI᪵9⁚)P7ᡂz10o◞.8ᵨ{&⁚)ua10bi.ᨵC10v1@BCw|ᳮᵨᨬm•⁚)ua10⁚)ᡂḄ11o◞+Ḅ&.ᨵC11v1BC.ᵫC,ᳮ\ᡠᨵ6|Ḅ:BC9*10*11=990@஺BC2:ᡃRᐜA᣸11ij.8⁚)ᢥ᯿2345u.ᙠ{᜜3⁚),11ij⌱3ᩭᐰ᣸ᑡP!P11,3=11*10*9=990

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22CᯠOII1KPIP+⚪QRᙠḄ◍▟V4oᏔᦪḄdeᑖ2dp(1)ஹ᜻ᦪ+᜻ᦪo(1,3,5)C(3,1)xc(3,1)tuv@%T&ḄS⁐஺ᡠn3,1,1,3%yᑖḄ⌕zᣵC3,2=3|▭[%6<(2)ஹᏔᦪ+Ꮤᦪ(2,4,6)ᏔᦪḄdp~᜻ᦪT&%6Rkᫀ%6+6=12Voᯠᡃ2nḄ<6%C6,1xC6,1-C6,2=36—15=21(⌕zC(6,2),vu2ᦪ]᎔E%4dp)G᜻ᦪo᜻ᦪ=᜻ᦪ+ᏔᦪC3,”C3,1=9ᡠnkᫀ%21—9=128.ூVW௃XYZ᜿ᦪᑡḄ\ᵨᐜᐺḄ᜿ᦪᑡoᱏo50.Ꮇ`BabcdḄeᐢB+ᨴhiᡂᜧᐢklB+ᨴmhdGBaeᐢnopqr+ᨴsdBaeᐢ.᝞ABᑗ.uᨵvwxyᐢz{|〉~BabcdḄᐢBᡂ()aᐢ.A.144B,..233............C.288D.466᜿ᦪᑡ6%+,A+B=Cv34ᨴ@ᐢᡂᜧᐢᡠn34ᨴ$%1ᓽA1¡¢஺32ᨴ¡¢ᒕI4ᐢᔠ¤2B2¡¢஺1,2,3,5,8,13,21,34,55,89,144,233

23¥¦§¨<©ª«¦[¬®E%45¯S°ᡈD°²▤஺´µT¶¬¨bKᨵ16°²▤<¥4¨ᑮ¨ᐳᨵ&Ḅ¸Ao54Bo64Co57Do37@⚪º»»Gᑮ¼½ᡃᵨ᣸ᑡÀᔠḄ8ÁÂF¼½BᙠᡃMᩭ᜿ᦪᑡḄ!¬°ᦪo1,2,3,4,5,6.......¸dpo0,1,1,1,2,2.......@%•᜿ḄK◞Äᵨv©Åᨵ¸15ḄdpᓽA+B=D0,1,1,1,2,2,3,4,5,7,9,12,16,21,28,37ᙠÆÇ1⚪o¥¦§¨<©ª«¦[¬®E%45¯4°

244TåæÙ>ý«z஺ᡠnᨬþ4ÀÓÔÕdpQÿᑨ᧕ᜧ!☢ᡃᔠ3⚪ᩭḄ⚪!ᦪ#20$ᙠᐜ'30,()20,('30,()20,*+᪵-.012345637-.#500?ᡃᐜ8ᨬ:;<ᑮ500Ḅ>?@A#ᡃB+30,—2027-..1;CᡃDE+30ḄF᎛#ᔲIJ<ᑮ500ᐜ8>?@ᨬ:•7L'#◤⌕+30Pᦪ#20Q;-.#L'10RSTU#᪵Ḅ(500—30—20)/10=45;A#W4545;ᓽ907-.<ᑮY470Zᫀ#917\!]^Ḅ᱆᱆ᙠ`abc.CRdḄefgᜩijklmnᜧCoḄp⊤ᵫstefḄuvwxyzCgᜩ{1/2ᑖ},jd᠒1/3ᑖ}Co10ᨴ1gᜩFC1ᑮᜩp⊤y{5ᑖ}?()A10ᨴ25B10ᨴ28C10ᨴ26D10ᨴ29ᡃ⍝gᜩikb;ᓽᜩ᦮#ᙽ1/2-1/3=1/6ᑖ}⌕#{5ᑖ}ᓽᡃDEᨬ:gᜩᑨᓽᡃ8>?@#5-1/2=4.5ᜩᢥ᯿Qᜩ{1/6ᑣ⌕{4.5ᜩ◤⌕4.5/(1/6)=27ᜩF᎛ᡃ$F('bgᜩᓽᡂW^45Y28ᜩ{Y5ᑖ}Zᫀ#10ᨴ28஺!bḼ10¡¢C£¡¤¢:CQ◞4ᑖ}ᨵ¡¢§Ḽ¤¢C¨ᙠ£¡¢¤¢:2ᑖ}C©ᨵ¡¢ᙠbª«C:Q◞6ᑖ}ᨵ¡¢ᙠbª«Cª«ᙠ¢bḄ¢C©¬7◞4ᑖ}ᙠ10¡®:¤¢஺RSC¯£¡¢¤¢®:C4563ᑖ}Cb£7°ᨵ¢ᶇ²A104B108C112D116⚪³s“☘¶·¸”1⚪CᡃxIº§»ᨬ¼Cᔲᑣᡃ½¾ᶍᙠ>?@À᝱ḄÂᓄ஺ÄᑮÅ1⚪✌ᐜ#»>?@#ᙠÇSF᎛CFḄÀÈS᪵஺᪵Éᑨ஺᝞“☘¶·¸”1⚪C10ËÌḄ¸C☘¶Q7·5˽Í4Ë஺1Î7IJ·bᩭ஺⚪Ḅ>?@#Ï☘¶ᨬ:7·5ËḄF᎛Ðᑮ¸ÑA#WᡃÒ◤ẆÔᑮ☘¶·ᑮ10—5=5ËḄᙢÖCd×#zØTU(10-5)/(5S)=57஺ᨬ:7ḄF᎛ᡃÙ◤ὃ⇋ÍYÜÝ4ᑮ⚔Y஺ß᪵⚪n6àá116ᑖ}CᐸÜ#ãY┯å஺ᡃDEᐜ»>?@஺ᡠçḄ>?@#Ïᒕ1¡¢ḄF᎛Ꮇê#Nᑖ}ᒕ¡¢N/4+1=(N-2)/6+1+(10-1)ÇSëì×+1R#Ü#í᪛1⚪஺¯0ᑖ}ïðTUḄᡠ⌕6'17ñN=104ᑖ}ᡠᡃ⍝104ᑖ}ḄF᎛#>?@¢Òᨵ1¡¢°ᨵ¤¢஺Ï108ᑖ}ḄF᎛C¢¤¢Y஺¨¡¢ᑮᑣ#ᙠ110ᑖ}ḄF᎛C

25ᡠ¯108110òF#✌7$°ᨵ¢Ḅ$óZᫀôõ⌱B10.ூ4øù௃ᐵsüýþÿឤᓄḄᑖ᪆⌕ᙠᙠᵫឤ᜜"#$Ḅᐵ&'(Ḅ)*+,ᦋḄ.ᑖ/023ᦪ5ᩭ78Ḅ9:;<=>:=>:ᡃ@ᶍᑖB2C(-)ᓄ#=>.ᑖᜧIJKLὃN☢PQḄR⚪TUVWX.ᑖḄ⚪Y(Z)ឤ#=>.ᑖ)*ᡃ[78Ḅ\⚪ឤ]Ḅ^X஺)*ឤᙠ᦮=>ᡠbḄ=>cḄdeL᯿ᱥhḄᓄᩭiᔣk8᦮lᓄᡈὅ#oᐵὶḄᓄḄqr஺h☢ᡃ[)*\⚪ᩭk8᪵ḄCt[2008uvwx⚪௃•{|}Ḽᔜ⁐Ḅ0ᳫᐸᳫᓰᑖ#ᩭ{|}k10ᳫᳫᓰᦪḄᑖ#Zᩭ{|ᨵ0ᳫA8B12C16D20⚪Yᡃ[JKQ(dḄ.ᑖ◀⁐0ᳫK᜜Ḅ.ᑖᡃ[<#B⁐.ᑖ0ᳫᦪ=⁐+⁐⁐᦮l=3410ᳫ#⁐᦮l=13"=>ḄL᯿deḄ¡[o¢10ᳫᡃ[JK£⊤¥eឤḄ=>5¦§ᩭ3413=39ᡃ[+¨᦮lḄ=>5+,kᓄᓄk9—4=5=>c©Ḅª100ᳫᡠK«=>c20ᳫᑣᫀ©¯2x4=80ᳫூR⚪Z௃᪥²u³ᨵᵬµ"¶ᵬ¶·,¸ᦪµ¶Ḅ5/7,᝞º»µ¶¼3¸ᑮᵬ¶ᵬ¶¸ᦪµ¶Ḅ4/5,ᑣµ¶ᨵ·,¸

26A.49B.63C.72D.84⚪YḄឤᵬµ"¶³Ḅ¸ᦪᡃ[+¨⚪YᡠᨵḄÊËᑁ.ÍÊÎᨵ᜜ÏḄᐭ3᦮lḄÑᜫ஺ᡠK¸ᦪªឤ]Ḅ᎛µ¶¸ᦪ¸ᦪ=712»µ¶¼3¸Õᐭᵬ¶ᑣ=>+,ᓄBµ¶¸ᦪ¸ᦪ=59¸ᦪᑖ×1239=>cd¦Ḅᓽ«=>ᓫÚ5doekᡠKᡃ[✌ᐜÕÝḄª¦=>51239Ḅᨬ0ßᦪ36àá¼ÊâḄ=>ªJK⊤¥B213632036ᡃ[+¨ᵬ¶Ḅ¸ᦪk=>càá1=>cª©Ḅ¼ᐭḄ3¸¸ᦪ36=>cᑣ¸ᦪ3x36=108¸åµ¶¸ᦪᑣ3x21=63¸ூR⚪௃ᨵæçᔠé10êᐭçᐸëæ2ìëç3ì஺᝞ᐭḄçí1ßàáæᓰ3ìçᓰ7ì\îïᐭḄçêA3B4C5D6ð⚪Ḅឤᡃ[JKb(ᩭæᨬîḄïæç=23ñïᐭçæç=37ᡃ[᪷óæô]Ḅ¦h=>23=6937=614ᡃ[+¨çík14-9=5=>càáíḄ.ᑖõö᧕ªJK»⌱⚗|☢ᑮ5ᫀk᝞º⌕ᐹl75ñûüὃᡃáý⍝2ïíḄç᪵஺àáÿᑮ10Ḅ᎛9-5=44+6=101ᯠᡃ⍝!"Ḅ#5$%&'()*⚪ᐸ-ᐸ-./012ᢚ4ᡈὅ./ᢕ82ᱯ:;<ᡃ./ᙠ>ᙠ?ᓄḄ?A41!?ᓄBC஺EF1G?ᓄḄH᛻JL஺ᡈὅ1GMឤḄ?AOPQ1ᑮRSḄᐵU11.ூWX௃“[\Ḅ]^_J423,aḄ]^>᦮ᦪ”2⚪15[\Ḅ]^_J423gaḄ]^>᦮ᦪ,hiᔜklm.ᑣ]^ᨬqḄ\gᨬ^rstuA.80B.82C.84D.86ᨵ\|}⚪~ᩩgᐸ-kᩩg}|ᕖg}◤⌕ᩭ᪷⚪~Ḅ*ᑖ᪆Ḅᡃs⍝Ḅ5\Ḅ%^AḄᨵaḄ]^>᦮ᦪgiᔜklmg*“]^ᨬqḄ\ᨬ^)”✌ᐜ}᪵]^ᔜklmgᨵ\ᨬqgᡃ⌕;

27\Ḅ]^®rsឋ4ᨬ^Ḅ஺ᨬ^Ḅ\Ḅ]^°±²$gm᪵}⍝ᳮ஺5\஺©a5]^ª▲¬Ḅ᎛^Ḅ\Ḅ´µk¶·$}¡´µ>ᙠqḄ\¸¹gᓾ»ᨵ¼G஺ª▲¬i½¾᦮ᦪg§ᯠ¿Àᯠᦪ}᪵ḄÁÂ$ᡠÄᡃŬὃ⇋¿Àᯠᦪ423/5=84Èᦪ34É^A84§}¿Àᯠᦪ82,83,84,85,86}᎛ᨵ\*§)ÈḄ3Ê(£ᓫᡃ¦}3ᑖËÌᨬ^Ḅ3\ᐸ4Ḅ2ᡈὅ2\>rÄ஺}RqὅḄ]^ªÍÎ஺᝞ÐᑖËÌqὅg§/GÑ]^qḄ\Ò¹13Ḅ᎛JÓ☢ḄÕ2\Ḅ]^^ÖgᡠÄᡃ¨⌕¿Àᯠᦪᨬ×Ḅ2ᯠᦪᓽrm᪵ᡃᩭ2ÙÚ⚪⚪'ÑᨵÛÜ21ᩏᑖÌ5\gÞ\ᑖßḄÛÜᦪ~ᔜklmgᑣᑖßÛÜᨬ)Ḅ\àᑖß()ᩏÛÜ஺A.7B.8Cஹ9D.10}⚪~*Ḅᨬ)Ḅ\àᑖß)⍝ᳮ2᪵Ḅ஺¨ᨵ¿Àᯠᦪ®s<Ḅ\rs)g)Ḅ\rsᡠÄ21/5=4Èᦪ1}äÈᦪåæ⌕ὃ⇋Ḅᡃ⍝4Éᦪ4,}¿Àᯠᦪ2,3,4,5,6ᨬᜧḄ6ᒕéḄ1¨sᑖÌᨬᜧḄᔲᑣᑖÌᐸaḄ>/GÑ^Öᦪë.ìᫀ6+1=7kîÈᦪ)ìᫀᨬᜧᦪ+1}|gᡃᩭᎷ᝞ÛÜᦪA24ᑖÌ5\24/5=4Èᦪ4¿Àᯠᦪðᑡ2,3,4,5,6ÈᦪᑖÌᨬ)Ḅ4\?ᡂ2,4,5,6,7ᡠÄ}äÈᦪ)k^⌕Ŭᵨᨬᜧᦪ+1ᓽr12.ூôõᑖö௃÷ømn/(m+n)ùḄᵫᩭ(ûüýᣚ*⚪)ᨵᵬ
᳛Ḅᵬ12080.ᙠ
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.᪵
Ḅ᳛.᎔Ḅ!"#$%&'mn/(m+n)=120*80/(120+80)=48

28%&Ḅ)ᩭ!+,2-ᓝ/012ᑮḄ4Ꮇ6ᣚḄ7ᑖ!aᎷ6120Ḅ89!P1,80Ḅ89!P2,ᣚ:ᔠ<Ḅ89!P=>?@120ḄᩭABCᓝ/01120-a(P1)P-P2Pa(P2)P1-PᡃE2ᑮ120-a)'a=(P-P2)'(P1-P)=>?@80ḄᩭABCᓝ/0180-a(P2)P1-PPa(P1)P-P2ᡃE2ᑮ(80-a)'a=(P1-P)'(P-P2)᪷G2-HIḄJK7ᑖᡃELM2ᑮ(120—a)'a=a'(80—a)ᓄO2ᑮa=120x80/(120+80)PQRᔜTḄ89UᐵW⊡ᐙZ1'[\2]^_Ḅ:ᔠ89஺ᐸbLMcd!ᐜf2]^_gh:ᔠᙠᢥ᯿HIᑖkᡂ27ᑖ஺ᡠMᡃEᎷ6ᣚnaa?@120Ḅ^_ᒕp7ᑖḄHIqr!st89uvḄwxHIRyzḄ{᯿|q!}HI஺ᓽ(120-a)/a=120/80a=48ᡈὅ(80-a)/a=80/120a=4813.ூᕜ௃4⍝ᐺ⚪(%᪆DONE)

29⚪}'.1ᑮ500500-ᦪ/ᨬ"L"#-ᦪ/ᐸḄ-ᦪ/u!7Ḅᦪ஺ூ᪆௃7-ᦪ/1ᦪ!1,2,3,4,5,6,0,⌕2-ᦪ/u!7Ḅᦪ=>ᐸᦪur!7Ḅᦪ஺ᡃE¡¢ᢧ⌱0,1,2,ᡈὅ0,5,6[\7/3=2qr!PᨬᜧḄᦪ/¦§,2,I᝞᝞ª!1,2,3=>ᡃELM3,3,1᪵Ḅᦪᐸr!7500/7=71ᦪ!3,«ᒕpḄ3-ᦪ/ᦪ!1,2,3⌕2¬2ᨬ"=>ᡃE0,1,2Hᔠ〉[\ᨬ<ᒕpḄ!1,2,3ᡠM᪵r"n2-¯!°◤²0¦§,2-᝞ª§,2-!3-M³Ḅ´3-0rLM᪀ᡂ7Ḅᦪ0q¦¶7᦮◀ᡠM¹ᫀ!71-1,2ᒕpḄ}1,2᜜¼2-071x2+2+2=146⚪½'f50-¾ªᑖᡂḄ3ᚮᚮÀ#1-ᨵ"#]ᑖ1$ூ᪆௃-⚪ÂᡃELMᐜfᐸcdÃÄ1ᩭẆÆ=>r!C49W2=1176Çb³ÃÄ1!┐?ḄᑖÉḄÊËᩭÌḄÍ!Ḅᚮ஺ᡠMÎÏÐnᡃEᢥ᯿-ᚮᔜ\᪗ÒឮÐᑮ-Ô᝱ᩭÌ஺ᡃE#Ïn"#-1,1,482,2,46,3,3,444,4,42(OOOOO50/2=25ᡠMgᑮ24,24,2᪵ḄÊË#ÏnP33P33/P22=3Ö

30ᡠM•ᐳ#Ïn24x3=72ᢥ᯿᪗ÒÊËᩭc¡¢!1176+72=1248]ᡠMᡃE◤⌕ᡷ◀6]ÊËÚ\1][\ÛᑖᡠM¹ᫀ!1248/P33=208]⚪'1—1998,ᨵ"#-ᦪ/ᐸᔜ-ÜݳḄᦪ/u¦¶4᦮◀$ூ᪆௃w"-4-ᦪ/LMst⚪ÂḄᩩßᡃàá40-ᦪ/1r!}-ᕜâI᝞'12ã13LM20ã22LM32ã35LM஺4050uvst஺r!-ᕜâᡠMᡃEcᨬ<}-ᦪ!"#1996!ᨬ<}-4Ḅᦪ1+9+9+6=25ã°w3-¡¢!1999⊡³äᡠM¹ᫀ!1996/4=499¯!1999ᙠᐸᡠM¹ᫀ!499}1=498⚪å'ᨵ}ᢇç9ᑖ\1ஹ2ஹ3ஹ4ஹ5ஹ6ஹ1ஹ8ஹ9ஹ1011ᔖêḄëᩈᩩäEḄᦪtí"〉î⌱3᪷ïᩩd\ᩩKLðᡂ}-ñò஺᝞ªóôõK!11ᔖêç4¦ðᡂ"#-Ḅñò$ூ᪆௃cc-⚪Â4rö2Oᓫn1ஹKçᙳ\᦮ᦪ«ᨬᜧKç\11ḄñòḄ-ᦪ\ùCúA
25-
B
26-
C
36-
D
37-ூ᪆௃᪷GñòKḄyᳮ
Kuᜧ@üK
Kuwý@üKLþᨬᜧḄK!11ᑣ᜜2211ᨬᜧḄ᎛ᡃᩩḄᑖ᪆᝞!11ᑣ#᜜$Ḅ1110,9,8,7,6,஺஺஺஺஺஺1᝞!10ᑣ#᜜$Ḅ10,9,8஺஺஺஺஺஺2,

31'1ᔲᑣὅ*+,11,11,-./0ᒹ2311,10Ḅ4ᔠ6᝞!9ᑣ#᜜$Ḅ9,8,7,஺஺஺஺஺஺஺3'ᳮᵫ9:;<=>?@A6>?@ABᦪ11+9+7+஺஺஺஺1=1+11
X6+2=3614.ூᑖ௃ᐵ,⍗8⚪8⚪Ḅᔠ⚪QḄᑖ᪆ᩩ⊙:;$EFG$HIGJᔣLI;EFGḄMHIGḄ3N;O$◞10ᑖQᨵSTUF•$IG஺O$◞20ᑖQᨵ•STUF$EFG;᝞!TUFWXYO◞J9ḄZXSF,\]Z◞^ᑖQXSTUF_A10B8C6D4ᡃ`⍝b$⚪d@A32$/0;e'16fFgEhIFḄGḄijk⚪;'2
fFgIGḄijk⚪ijk⚪lḄ$m℉ḄToepqr=MrXZᡃ`⍝btḄ2$ij/0ḄpqrfFḄZ◞XFuv஺JwḄ஺ᡃ⌕yḄᐵ,Zᡠ<|fFḄZ◞uv}~ᓫ1.\]᪷ijTo1
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32(2)(V+-Vᢄ)=1/8(1)-2x(2)=3Vᢄ=1/4<=ᢄM1/12ᫀemL᧕=3஺ᙠ+8⚪RᙠḄ᎛஺ᡃᑭᵨᐸḄᐵ$¡¢Ḅ£¤¥¦஺§¨©ḄBª«¬Aª⚪1ஹᵯᢄᵫ®:ᒴMI°.ᵱ³O´2$µḄM¶ᵯᢄ®:·,40´.<ᵯᢄ⚔¹.᝕³O2´3$µḄM®:·,50´<ᑮ⚔¹.ᑣ☟¼ᵯᢄḄµᦪ()A80B75C100D1202ஹ2ஹ¿G¶ᵯFÀpI·;O12ᑖQᨵSᵯFWÁ☢i:;O4ᑖQᨵSᵯFÂ☢Lᩭ.2$ÄÅYḄXFZ◞J9;\]b$Z◞¡Æ???_15.ூᑖÉ௃"Ìᔛ₝"Ḅk⚪ḄÏoᓄ⚪oBÑ“Ìᔛ₝”Ḅk⚪Ô⌕ᢕÖ₝OᜩḄØMb$ÙÚ஺Û,ᐸÝÞᨵ¡Æ_ᡃᐵßḄᑁá;â]b]ã;ᙠᡃäåḄ᎛;æ▭:᪷rèy₝M;\]ÝᨵḄ₝Ú᪵;ᨵé⚪d<☢ê᪵;ëOìᙢḄÝ₝Úîæ᪵Ḅ஺ïðñÆã;e☢2$⚪dᩭòó1.ᱏᱣ₝;<ö16ᜮÌᔛ20ᜩ;¥<ö80øùᔛ12ᜩ;᝞!OᜮÌOᜩᔛ₝Úw,Oᜩ4øùḄᔛ₝Ú;\]10ᜮÌg60øùÄᔛbᱏ₝;^ᜩ<ᔛú_()A.10B.8C.6D.4ᡃᐜ⌕îü$ᓫ;ᓽᜮÌOᜩᔛḄ₝Ú1$᪗ÿᓫ
ᡈὅ᯿ᓫ
⚪ᔛ₝ᦔ᳛ᓄ4=1஺"⚪#(1)“ᱏᱣ₝()16ᜮᔛ20ᜩ”-.ᱏᱣ₝ᔛ20ᜩᓽ1ᨵḄ₝20ᜩ4ᩭḄ₝ᐳ7820x16=320ᓫ
(2)“:(;)80<ᔛ12ᜩ”=>?“20ᜮᔛ12ᜩ”-.ᱏᱣ₝ᔛ12ᜩᓽ1ᩭḄ₝12ᜩ4ᩭḄ₝ᐳ7812x20=240ᓫ

33ὅ=@320-240=80A8BḄ8ᜩᡠ4Ḅ₝DᓽEᜩ₝4FG880+8=10ᓫ
ᙠ8“10ᜮI60<Jᔛᱏ₝”=>?“10+60+4=25ᜮᔛ₝”BKᯠᔛḄᜩᦪANᡃPQ8(;᪷ST☢ḄVWᢧ⌱(1)ᡈὅ(2)ᩭZ[஺Aᢧ⌱(1)320—25a=(20—a)xio\a⊤^ᡃP⌕`Ḅabᓽ(cda=8ᜩ஺3.22ᜮᔛ33efᱣgḄ₝54ᜩ(;ᔛh17ᜮᔛi᪵ᱣg28efḄ₝84ᜩ(;ᔛh஺klmᜮᔛi᪵ᱣg40efḄ₝24ᜩᔛhn()A.50B.46C.38D.35o"ᨵ☢pḄ⚪#ᐸr⍝ᳮ8᪵Ḅ஺ᡃP<⌕uiḄᓄ=iḄ☢p᪵v8wefḄ1ᨵDEᜩEf₝4ḄD8=iḄ஺᪷Sᩩy1z(22x54)/338EefḄ{|ᩩy2z(17x84)/288EefḄ{|=@(17x84)/28(22x54)/33=(84—54)xa⊤^Ef₝4FGacda=0.5ᓫ
}~8wᜮEefᔛ₝Ḅᓫ
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34᝞zᨵ4000⚓,lᦪ1ᙠBNn1000+4000/5=1800¯ᫀ±ᯠ8┯²Ḅ³rT¯ᫀ8C(4,1)xC(10,1)xC(10,1)X3+10A3=2200ᙠᡃ´)µᑭᵨ᣸ᑡµᔠᩭcº⚪ḄVWᡃP"4000ᑖᓟ½ᓝ¿ᦪ
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0~910ᦪ⌱Ãᓽ7*10=70
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82
82ḄÚ᎛ᓽ022⊤^Ḅ8⚓ṹ22(2)999⚓ṹḄᨵBN⚓2Ḅ⚓ṹn⚪#ÇT⚪᪵`Ḅ8⚓ṹZ᝞-522⚓ṹÜᯠᨵ22,v88⚓ṹ⚪#ᡃPi᪵Ðᵨ᣸ᑡµᔠE
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⊤⊤ᑖ┐┐ា.ᙠ34!"#,56!"$%&#'ூ᪆௃✌ᐜ*+,-.┐/ᔣᑖ┐ᙠ┐Ḅ2☢஺ᔲᑣ┐⌕8ᜧ:ᙌ<=ᑮ?ᑖ┐Ḅ஺ᐸA*+BCᑖ┐┐DḄEF!GH360IxNJK"HLᑴᙠ12NᑁᑣN=2720+6+0.5
=1440/13ᑖPRS"HTUVᑖP᪷X"ḄYZḄᑖ┐H56!"RS┐ᙠ34!"[\ᨵ^:ᓽᨬaᑖ┐bᶇḄdefg^1718ᑖPhᡃjᢥ᯿517ᑖ—1440/13ᑖPdeH326ᑖPmn19.ூᑖ௃opqᐺ20⍝Yᑡuᑡvw1ஹyz{|}Ḅ~H8400ᐗGᵯ7Nᨴfᑮ3900ᐗGᵯ஺Tᵯ
Vᐗ'oᵨYZḄ஺T⚪ᙠYᑡHYᓫḄ⚪ூ᪆௃}Ḅ~8400+ᵯ7NᨴḄ~3900+ᵯᡠ+5NᨴḄ~H8400-3900=4500NᨴḄ~H4500/5=900}Ḅ~H900*12=10800ᵯH10800-8400=24002ஹᵬஹᑖA,BᙢBᔣ¡BᵬஹḄ¢IYH54,⍗aᵬḄ¢I¤20%,Ḅ¢I¥¦20%,T᪵¨ᵬᑮ?B©Aᙢ[ᨵ10ᓟ«஺hUA,Bᙢ¬Vᓟ«'

36ூ®᪆௃/±o²³®±ᎷµᐰFK9·⍗Ḅ᎛ᵬD5·D4·!a¢I¹ᓄT᪵ᵬᑮ?BᙢᵬD4·᪷X¢I¹ᓄaḄY
deD4x6/5=24/5·ᡠ+T᪵©Aᙢ[ᨵ5—24/5
·10*9/1/5
=450/±»oᡃḄ®±ᎷµᐰFH9·⍗ᵬD5·D4·ᵬḄEFYH¢IY¹K54!aᵫ½¹¢ᵬ¢IY¹K44.8ᡠ+¨ᵬᑮBoᓽD5+4=9·D4+4.8=8.8·¬©ᐰF[¾9-8.8=0.2·0.2·dḄH10ᓟ«ᡠ+9·dḄH9*10/0.2=450ᓟ«oᜧ¿À²³Ḅ®±GᡃḄ®±ÁN'3ஹSᜩÃᨌ650¿B720ᑮ᪥ὁÇ⌕ÈSᜩÉÃ6ᑖPᑮ᪥஺᝞SSᜩÃᨌ[H650¿BhUᑖPËÌYÍÎVD25«<=ᢥὁÇḄ⌕ÈÏᑮ᪥஺%S¿ᑮÐ᪥VÑ'ூ®᪆௃/±roÐÓḄÔ±ÕHᑡvw±⌕É26ᑖPᑮ᪥ᡠ+ᵨH30-6=24ᑖPT6ᑖPDḄEFÖHSᑖP¦×VD25«D24ᑖP?5@6,ᡠB?6@5,6-5=1,1CDEFG1

37ᡠᵨ&JᐰL◤⌕6*1=6$7O9P“᝞120ᓟ!"#$%&25%,ᑣ40ᑖ)ᑮ”"#=Q?4@5,?5@4,5-4=1,1CᑡEFG2/3ᡠSᵨ"8LḄPB?ᵨ/5*2/3=10/3ᦑ☢Ḅ120ᓟ!ḄXLᵨ?6-10/3=8/3<ᑮ&B?120/8/3=45ᓟ!/ᡠS=45*6=270ᓟ!6ஹᵬஹ,Y-.91ᓟ!#ᨵ50[\ᵬYᑮY#]Ḅ&?^5ᓟ!#_Ḅ&`35ᓟ!/#abᨵcᙶe[Ḅ☢ᒹ#ᨬhᵨ/0i50[ᐰjᑮY1(O⚪Ḅ_&mᨵQᓄ#ooᙠOqrstuvwᝅyᵨḄz{|}Ḅ~}#ᜧ)ூ᪆௃&?35@5=7@17-1=66/2=3XLᑖᡂ@1+3+9=13(#1+3?•ᢇ[ḄXL#9?`ᐳᨵ50[#5[•#ᨵ10,^[⌕10-1=9XL஺|}ᔳ)91*(4/13/35+9/13/5)=67/5=13.47ஹᵬṹᜮᐳᵨ4#¡ᩭ£¤¥^/12ᓟ!#"2/16ᓟ!஺*+ᵬ#,Cṹᜮ.¦/0ᓟ!1ூ᪆௃O⚪?C§ᙽ#⌕OC§ᙽBt£¤Ḅ?:16/12=4/3ᑣ⌮¤?@4-4/3=8/3«¬&Ḅ#V£@V⌮=8/3@4/3=2@1®£=°⌮+12ᡠV£=24ᡠS=24*4/3=32KM8ஹᵬ,ᑖ±AஹB,ᙢ²³#´ᙠAஹB,ᙢµ¶#·¸ᵬḄ&?15ᓟ!/#Ḅ&?^35ᓟ!#ᵬ,¹-⍗ᙢE=»-⍗ᙢE¼100ᓟ!#½AஹB,ᙢḄ.¦Aஹ200ᓟ!Bஹ250ᓟ!Cஹ300ᓟ!Dஹ350ᓟ!ூ᪆௃&?15@35=3@7ᐰLᑖᡂ10¹ᵬḄXL?@3*(2*2+1)=15»ᵬḄXL?@3*(2*3+1)=21,-.5-1=4#FG100KMᡠ10FGḄB?250KM9ஹ¾¿LᨵᵬᔠÁ#ÂÃᢥJᡂ#᝞ᵬ¿Áᦔ᳛20%,Ç+2C[◤⌕È9/10BJᡂ᝞¿Áᦔ᳛ÉÊ25%,*+2[B◤⌕ËÌ2.5Jᡂ¿L#ᳫÈ஺ூ᪆௃ᵬᦔ᳛#᦮Ïᦔ᳛t10/9-1=1/9,ᡠᵬ?1/9/20%=5/9,ᡠ?4/9

38ᡠᩭᵬÐ?5@4Q"ᵬÐ?5@3(ÑᑮOq#ᡃÓ<ÔLÕvÖ#ᡃᑖ,]Ñᔳ)(1)ᐜᵨÔL<ᑮÔL?@9T=8*(T+2.5)T=20(2)ᵨᑡÑÉÊ1#FG/ᵨḄB?2.5×ᙠᐳ5+3=8#ᡠB?8*2.5=2010ஹᵬஹØ[ᑖ±AஹB,ᙢÙ²³#᝞,[ÙᔣÛ#ᵬ26ᑖ)Üy᝞,[-ᔣÛ#6ᑖ)-⍗#Ý·¸^ᑖ)50!#½AஹB,ᙢḄ.¦஺ூ᪆௃Vᵬ=50*(6+26)/20=80S=6*(80+50)=78011ஹÞßàᔠáᢗã#äå^[Ḅᢗãæᑖç#ÞètᐰjḄ1/3é>9êᐗ#àètᒕḄ1/3ßᒕḄ14êᐗ஺íÞà/?%ᙊ?ḄABCDEᵬ;F<=3-BCGᨵ2-)ᙊ?ḄH;F<=4-BCGᨵ3-)ᙊ?ḄH8;F<=5-BCGᨵ4-)ᙊ?Ḅ஺Iᜩ9:;ᐳ<=K58-ᙊ?BCL<=Ḅ>?BC-ᦪḄN4$3$3,OPIᜩ9:;ᐳ<=BCQ-!

39A.68B.76C.78D.88ூ᪆௃ᵬ;<=>?BC4Rᙊ?BC4*2=8R;<=>?BC3Rᙊ?BC3*3=9R8;<=>?BC3Rᙊ?BC3*4=12Rᙊ?BCᐳ8+9+12=29RFR)58+29=2R>?BCᨵ2*(3+3+4)=20-ᡠ6ᐳ<=BC20+58=78-15ஹ•TᵬᙢVᙢ஺᝞XY'Z10%,OP⌕[\]^1ᑮ`᝞X6['ab180ᓟcY'de20%,OPf[\]g1ᑮ`஺ᵬஹᙢh]Ḅi)ᓟ!A.360B.450C.540D.720ூ᪆௃['($Z'(=10$9,ᡠ6Z]$[]=10$9,ᡠ6Z]N$1/(1-9/10)=10$[]N9$['($<'(=5$6,[]$<]=6$5,abj180ᓟk,[]=1/(1/6)=6,ᡠ6?l180ᓟḄ]N9-6=3['(N180/3=60ᓟ/ᡠ6ᙢh]ḄiN60*9=540ᓟ16ஹnopḄ'()60/ᑖᙠtu'(N20/ᑖḄvGwxḄn-yzᑮ{xḄ|nᙢc}~ᑮ[ᙢᐳᵨ330ᑖIᩩwxyzᑮ{x|ᙢᐳKA.280/3B.560/3C.180D.240ூ᪆௃Ḅt'($60+20=80/ᑖḄ⌮t'($60-20=40/ᑖ஺NḄt'(⌮t'(ḄN2$1,ᡠ6u⌮uḄ]N1$2஺Iᩩwxyzᑮ{x|ᙢḄ]N$330ᑖ*1/(1+2)=110ᑖ=7/6஺(7/6=70ᑖ)wxyzᑮ{x|ᙢḄ*+N$80*7/6=280/3ᓟ஺(80x70=5600)17ஹ(ᐜ18⚪)nTᜧnTᵬᙢbVᙢ஺ᜧḄ'()'(Ḅ80%஺DEᜧg17ᑖᙠᙢGK5ᑖbVᙢHLkG⌶ᨵbVᙢᨬkᜧg4ᑖᑮ`ᙢ஺Eᜧ)wᓤ10ᵬᙢḄ஺OP)ᙠwᓤP᎛wᜧḄA1101ᑖB1105ᑖC1110ᑖD.1115ᑖூ᪆௃ᜧajᐰ+17-5+4=16ᑖᡠ6ᜧajᐰ+◤⌕Ḅ])16+(1—80%)=80ᑖajᐰ+◤⌕80x80%=64ᑖᵫ£ᜧᙠG¤¥Kᡠ6ᡃ§⌕¨©ᙠG)ᔲ«w஺ᜧk80+2=40ᑖᑮ`Gk40+5=45ᑖiᙠᜧ17ᑖk,,aᑮG,ᜧD¬aK17+64+2=49ᑖ஺®ᑮ`GḄ᎛ᜧD¬K஺OP¯)ᙠk☢n±Ḅ*wḄ஺

40²ᯠkᩭµᨵ¤¥ᜧgᑮ4ᑖ஺OPwḄ])ᑮ`h·4+(1-80%)x80%=16ᑖᡠ6)ᙠᜧk17+64-16=65ᑖw஺ᡠ6ÃḄÄ)1105ᑖ஺18ஹᵬஹAᙢ¬ÆBᙢbVCᙢA,BᙢḄiÉ£B,CᙢḄi஺Ḅ'()ᵬ'(Ḅ80%஺DEᵬg11ᑖᙠBᙢᶇK7ᑖᵬᑣÌᙢbVCᙢ஺ᨬkᵬ^4ᑖᑮCᙢ஺OPkQᑖᵬ¯ÍÆ஺A.25B.26C.27D.28ூ"᪆௃ᵬa11—7+4=8ᑖ஺®ajᐰ+◤⌕8+(1—80%)=40ᑖᵬajᐰ+◤⌕40x80%=32ᑖÕaᑮBᙢÖᶇj×◤⌕40+2+7=27ᑖ஺ᵬᙠk32+2+11=27ᑖᑮ`Bᙢ஺ᓽᙠBᙢᵬw஺19ஹ®ÚaᵬᙢᑮᙢÛÜÝ᥅ᡲᙢᑮᵬᙢ.48ᑖkµ⍗ÛÜᑮ`ᵬᙢkàw}~ᙢᙠánâ⍗k16ᑖw®.᝞XÛÜÌᙢV}£ᵬஹᙢOPÕ®ᑮ`ᙢÛÜᐳw®Qâ!A3B4C5D7ூ"᪆௃Õáãâ⍗®K16RÛÜK48*2+16=112R'(N1$7,Õ®K1-ᐰ+ÛÜK7-ᐰ+wâᦪ=(7-1)2=320.ᐘஹånæ᪛⌕8jᡂᐘᐜæ3åcæ1éᒕ11/16ᨵjᡂDEᐘåFæ7ë᪛Iᢇ᪛ᐳᨵë!()A.120B.112C.108D.96ííæ3ååæ1Õ£ííåånîæK1íícæ2ᡠ6ííḄᦔ᳛)$(5/16-1/8)/2=3/32ååḄᦔ᳛¯)$1/8-3/32=1/32ᦔ᳛ñ)$3/32-1/32=1/16,/0Ḅ)7ë᪛ᡠ6ííååᐳæK$7*16=112ë᪛20.ூᑖò௃60⍝ᦪô⚪Ḅ"᪆1.ᙠõöIx2x3x4x.....x698x699x700Gøùoᨵ()-B஺A.172B.174C.176D.179ூúû"᪆௃Ã⚪ᡃ§ü◤⌕K"0)ýP?ᡂḄþÿᨵ.15Ꮤᦪ᪀ᡂ0,⌕255ᕖ!505ᕖ!125"5ᕖᐹᨵ5$⌕%&'ᔲ)5Ḅ+᦮◀.᝞25=5x5ᡠᐹᨵ25,

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52ூ᪆௃ᙠ#☢Ḅᨵ⍝⚪'ᡃ)*+,-./0(1)A+B+T=*
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ᦪ᪷K⚪'ᡃ)Lᑮ᝞>OP(1)A+B+T+P=12(P⊤RḄ)(2)A+2B+3T=6+5+5=16(3)B+3T=3+2+2=7(4)T=1ᡃ)TUVWXḄLᑮB=4,A=5T=1YCP=2Zᫀ\9A-P=5-2=325.],^2008_ᓅaᝍcdᡂf⁐ᝍcᐰiᔜᙢᙠIlmno᪛⌼᪍஺tᓫvOᑜᙠxyz.{|✂ḄzᩩḄ()z᪛cᢇ᪛ᩩḄ9ᩩḄz6000,◞4ᑣ62754F◞5ᑣ396ᑣᐳᨵ᪛()A.8500B.12500C.12596D.13000ூ᪆௃.⚪'92006_Ḅ⍝iὃ⚪⚪'DḄᳲᩖI,o᪛¡⚪஺ᐸ£\ὃ¤ᡃ)᝞¥¦§ᓄ©]ªḄ¦«¬5ᨵᦪ®¯°TUᵨ஺ᡃ)ᐜ³⚪'´µᑖ᪆஺¶·¸¹ᡃ)2º»º»(1)◞41ᑣ62754º»(2)◞51ᑣ396ᡃ)⍝2ᩩ¼Ḅ*9½¾¿Ḅᡃ)TUxÀ2º»ᐜÁÂ*஺4Ã5ḄᨬÅ/ᦪ920Æ\920º»(1)\⌕º»(2)1᪛஺YC2º»È6⚩᪛\Êᨵ6.20஺K⚪ËLº»(1)̺»(2)È2754+396=3150᪛Ê*ÍÎ93150x20=63000ᡃ)ᙠᜮÐÂᐸÑ•º»ᩭᑖ᪆\⌱º»(2)◞51Â396ὃ⇋o᪛¡⚪ᡃ)ᐜᳮ×ḄOP>஺63000/5+396=12996.Ø᎛◤⌕ÅÛᡃ)ÜÝÞË2ᩩ¼94.ß᪷Ko᪛àᳮ,.ß⌕Â1ᡠUZᫀâã912996+4=1300026.äåæᵬᙢèyéᙢ᝞ê·ë20%,TUà¾Øì·#ÅØᑮí஺᝞êUàëî120ᓟðñòë·ó25%,ᑣT·#40ᑖôᑮ஺YCᵬஹézᙢÍ6ᓟõ

53Aஹ240Bஹ270C>250Dஹ300ö᪆௃.⚪'÷ᯠTUùᵨúᩭOPæûüýᡃ)Dᑮ·ëþðḄë956YCØì\965È1.úÿ
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5532.äᯠᦪ1999,æç6±ᦪ:-9,-èᦪ[()A.2001B.2011C.2111D.20001ூbc(᪆௃u⚪Ðéêë%ìᩖᐸpï-ᡃ9ðñḄὃóNô§ᡃ9N⍝#ᦪæç6ᦪÂᐰ-9,᝞õ#ᦪÂ+1,XYæç6ᦪÂÉÊ:-஺ᡃ9᪷÷øùú¢û#ᦪḄùÉÊ-30A"2T=(A+1)*(AT)ᦪÂ-1999-A—1=1999A=2000XYü᜜ᦪÂ-A+1=2001⌱A33.FGýþḄQÿ
ᨵᐳ36ᑮᐳᨵ()஺A.9B.10C.11D.12ூ᪆௃ḄᦪN-1NNX(N-1)2!"ᢥ᯿%&'()*+,஺ᡠ.⌕◀.2,ᓽ23NX(N-1)+2=364᪵N=9᝞78ᳮ஺ᡃ;<=.4᪵ὃ⇋ᎷA4B᣸ᡂ,᣸஺E,Fᔣ᣸HIJ஺,,Ḅ஺E2LḼE,N4᪵஺E,N—1஺E2N—2E3N-3..........ᨬQE21ᨬQ,8Rᡠ.STRḄᦪ0஺4᪵ᡃ;UV4BḄᦪ,WX(ᑣZᑣᡃᙠᡃḄ45⚪]^_☢᪆ᐵbWX(ᑣḄcᵨefᓽgᦪ1+2+3+4+5+........................+N-1)23(✌⚗+H⚗)X⚗ᦪ+2kᯠ᝞74᪵Ḅ⚪mn<=.op᣸ᑡrᔠ)4tuvwxᢧV2ᓽuz{ᨵuz|Cn}2=36NNX(N-1)4-2!=36~N=94〉ᵨbᓫḄ}2᝞7C}ᜧb2ᑣ8⌕ᵨ᣸ᑡrᔠ᝞4᪵,⍝⚪|Ḅ%ᜧᡂᙌ
8LḄ2᦮,ᐳ1524Ḅᨵ()Aஹ16Bஹ17Cஹ18Dஹ19ூᜩᙠᖛ¡᪆௃⚪U%J,᣸ᑡrᔠ⚪ᓾᵨḄ£¤WḄ¥ᳮᙠ¦⚪஺ᢥ᯿᣸ᑡrᔠᎷAgᦪ§XᑣCx}3=152ᙠ)X¨ᓾkḄ©ª஺ᡃ;«¬ᩭᑖ᪆¯⚪mo.§Ẇ±£²஺

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*+)1஺ᑣ¾▭ḄᦪxX¸x-3º+2=152)Ḅx=1934.ᖪÅḄÆRᢄÈᒴÊÆËÌ%ÍÎÏÐÑᢄÈI~Ò᠒bᙠÍÎḄᢄÈ%ᵱÏÕᔣ%ÍI2▤È᝕Ï2Õᔣ%I3▤È஺᝞7ᵱÏᵨ40ÕᑮÙ᝕Ïᵨ50ÕᑮÙᑣkᵯÈÛܨ=UᑮḄᢄÈÝᨵ|A80B100C120D140ூ᪆௃ᐵbᵯÈ⚪¾▭%N,{Íã⚪Ì8ᡃ;ᡠᳮḄ“åᔛ₝”⚪|LÍã⚪ᓾéêᜧḄ8ëË☢ᩭììᐸ8!ᜐëÍã⚪_☢ᡃ;ïðḄᨵ2{,{⍗⚪|¨òᔣÌÍëó¨⍗ḄÍã⚪஺,{ôõ⚪|,ᙠö᜜,Ḅø☢'ᔣI஺Q☢ḄÊùúø☢Êù᠒ût¨᎛ô%Ḅ⚪஺ᡃ;ᐜᑖ᪆2{þÿ
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57B48C32D16ூ»¼᪆௃½{mn/(m+n)=120*80/(120+80)=48½{ḄᵫᩭÅ-2)ÆÇ°ÈÉᑮḄÊᎷÌ°ᣚḄRᑖa¬¨ªᎷÌ120¬Ḅ¨ªÎ5P1,80¬Ḅ¨ªÎ5P2,°ᣚÐᔠÒḄÎ5PÓÔoY120¬Ḅ¨ªᩭÕxyᓝÇ°ÈÉ120-a(Pl)P-P2Pa(P2)Pl-Pᡃᑮ(120-a)a=(P-P2)(Pl-P)ÓÔoY80¬Ḅ¨ªᩭÕxyᓝÇ°ÈÉ80-a(P2)Pl-PPa(Pl)P-P2ᡃᑮ(80-a)a=(Pl-P)(P—P2)᪷Û;2)>iḄÜÝRᑖᡃUᑮ(120—a)a—a(80—a)ᓄßᑮa=120X80/(120+80)23ᔜḄÎ5áᐵf⊡ᐙÉäm2åæçḄÐᔠÎ5z஺ᐸbUèᐜé2åæçêëÐᔠᙠᢥ᯿>iᑖᡂ2Rᑖ஺ᡠUᡃᎷÌ°ᣚ.a¬a¬oY120¬ḄæçᒕKRᑖḄ>i<ðñÎ5ò9Ḅóô>iõḄö᯿÷®(>i஺ᓽ(120-a)/a=120/80a=48¬ᡈὅ(80-a)/a=80/120a=48¬36.ᵬ¥ᔜᙶ(ú‷ᙠü³ᑜ?ᵬ᤯ÿ10᤯8᤯70ᡠḄᵬ᤯90ᡠḄᵬᐜ᤯4,ᑣ᤯A.14B.16C.112I).124ூ*+,᪆௃/012Ḅ⚪4ᡃ6✌ᐜ89ᐸ;<=ᵬ᤯10᤯8>⍝ᵬ⚣᳛BC=5F4᤯70ᡠḄᵬ᤯90ᡠḄᑣGHIᑮKILMBCNᵬF=7F9ᡠHᡃ6ᩭPQRSᑁᵬI;

58ᙠᵬᐜᑜ᫔4KLMN7Yᓫ\K`N9Yᓫ\ᡠHᵬ⚞ᐜN4X7=28Yᓫ\bcK436—35=1Yᓫ\WX28Yᓫ\◤⌕28X4=112=⌱C37.gYhiὅ⌮lhiᙠA᫑⍡ᜫgpqrsrstᙠr☢vrwl.hiὅxy⌮hz1{ᑮ|D᫑}~rs⍡ᜫz12ᑖhrshz1.05{ᙠB᫑ᑮzrs.8A,D᫑ḄLMNA,B᫑LMḄ.A.1.5B4/3C2D2.5ூ*+,᪆௃B஺஺஺஺஺A©஺஺஺஺஺஺஺஺AᣵN⌮rᑮDrsḄ;-?
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Øᓫùᑁ(1ᓟ)Ḅὑ᳛1/5000,1/3000ᓫᑁὑḄ1/5000+1/3000=4/7500,Ḅὑ1+1=2,ᡠ2+4/7500=3750ᓟ42.ᨵᯠᦪ#$%ᦪ&'()ᦪ&*ា,-☢ᦪ&Ḅ/ᑮ12ᑏ4᝞257,1459667ᦪ&ᨵ()Aஹ45,Bஹ60,C120,Dஹ9ᦪூ;<=᪆௃@⚪B⌕D⚪Eᳮ=GH“/ᑮ124”7ᐵLM᝞N123,1235,12358,7Oᦪ&P12358,,1231235Q2RSTUᑏ⚪E⌕V12ᑏ4ᡠ1Wᔠ⚪E⌕V1Yᡃ[\]^ᐸ`ᡃ[a⌕bc2PP2defᐸgᦪ&2hi☢Ḅᦪ&஺cc2Ḅkᔠ10,11,12,13,஺஺…஺஺17,18.OO஺஺஺஺60,61,62,6370,71,7280,8190,o7ᕈ^6qᦪᑡstᦪ(1+9)>9+2=4543.ᨵuvᓫ'Aw10xyz{ᓫ'Bw12xyz{'|w5xyAw}|aᨵBwRS~ᑣz{vuᐳᵨ|xy()

61A.8B.9C.6D.10ூ;<=᪆௃7⚪Eᡃᩭ⌕ᜧḄB⌕e⚪EḄ᝞ᡃ[ᢥPḄᩭអ᝿◤⌕¡y¢஺ᡠᡃ[ᙠc¤⚪E¥¦Ḅ§ὃ஺©ª§ὃ⚪E«Nᑣz{vḄuᐳᵨxyᡃ[¬⍝®ᐰ°*ᙠ±²஺ᡠ`▭´®~|xyஹPᡃ[ᨬ¶⌕VḄ·஺#~Ḅ¸¹cA±²|5xyᑣº»f5/10=1/2QᒕU1/27ᑖ*®Ḅ஺®1/2◤⌕y¢ᕖ12X1/2=6xy¿ᫀP6xy44.ÁÂḄÃÄ423Åg[ḄÃ*᦮ᦪÇÈᔜ1ºÊ஺ᑣÃᨬËḄÂᨬ2ÌÍA80B82C84D86ூ;<=᪆௃7⚪EÎ⍝ᑖÏḄ⚪E“ÐÑ”⚪ÒÓᡃD7⚪EM⚪ÔᜧÕÖP×⚪ᩭc஺⚪E⌕VᨬËḄÂᨬØÈ5ÂḄÃᔜ1ºÊ஺\PÃiḄ¸¹U஺ᦪ&ᜧḄÙ2ᦪ&xḄ☠ÛÜ᪵ᦪ&xḄÞºßᨬ஺aᨵàSᯠᦪ{á7ᩩã஺ᡃ[c5ÂḄ423Å᪷åàSᯠᦪḄᱯç423/5=è¢ᦪÌéᙳᦪÍ=84ëᦪ3ܪᡃ[¬⍝75ᯠᦪḄìᑡ82,83,84,85,86QᒕU3Å12ᑖíÔᨬxḄîÂᔲᑣg[PÎ☢Ḅᦪ&ð|ᡠ73ÅñòᑖíÔᨬḄîÂßËὅ9ôõ஺¿ᫀP82⌱BM⚪N^ᨵ÷Ï21ᩏᑖÔ5Âù)ÂᑖúḄ÷ÏᦪEᔜ1ºÊᑣᑖú÷ÏᨬḄÂûᑖúÌÍᩏ÷Ï஺A.7B.8Cஹ9D.1045.ᨵ⚗~°ᵬஹ®ஹþ%~°ÿᜩ஺ᑜᢥᵬஹஹាᵬᵨ᦮ᦪᜩᡂ᝞ᢥஹஹᵬᑜᵨ1/2ᜩᡂ᝞ᢥஹᵬஹᑜᵨ1/2ᜩᡂ஺ᵬᓫᵨ10ᜩᡂ!"#$%&Ḅ$(ᦔ᳛ᔜ,-./01⚗$%ᵫᵬஹஹ"4ᔠ(⌕7ᜩ89ᡂ:A.7B.19/3C.209/40D.40/9

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63¹98-77=21ᝅ⊟x«¬᪷»¢¼Ḅ½¾◤⌕jᜩ12+9ᝅ⊡9/(12-9)=3◤⌕ᔜ¢3ᜩḄ~(3ᜩ⊟x+3ᜩ)+1ᜩᑣ¿ᫀ^⊟x98+3X9=125^77+4X12=12547.Á#ÂÃÄÅ᪗Çᐰ\Ä┯Ḅ8ឋᨵ7Ë:A6B.12C.26D44ூ=>?᪆௃✌ᐜᡃCÍÎᓫḄ1ÏÐÑÒ1Ï,8Ä┯0Ë2ÏÄ┯Ḅ½¾^-ÓÔᣚ1Ë3ÏÄ┯Ḅ½¾^2Ë4ÏÄ┯Ḅ½¾^9Ë5ÏÄ┯Ḅ½¾^44ËᜧÖ×ØÙÚÛÜᦪj᪵ÙÚ×89ÅjÝ᝞ὃßὃᑮ×^à,ᑮᙠ59ᑁḄ½¾஺ᡃCáḼ41ãᦪäåᡂḄᦪᑡ°±çè0,1,2,9,44fᑮÅ1᪵j#⌴çêëSn=nXS(nT)+(-1)"nSn⊤ñn#Ä┯Ḅ½¾Ëᦪ᝞Sl=0S2=2XSl+(-l)-2=lS3=3XS2+(-l)-3=2S4=4XS3+(-l)"4=9S5=5XS4+(-l)'5=4448.wôõfö÷øùúô200ᐗü499.99ᐗö÷5%,úô500ᐗ9(þ500ᐗ)ö÷10%,wÿ
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6545¨6'5ᐸᦪ§¨"4+6=10¹⚪ᡃ¶ᐜᑖ»(1,9)(3,7)(5)᪷½H¾£¤ᐸᦪ"2007᜻ᦪ஺³´ᐸᦪ§¨"10+10+5=25ᑣ¿ᫀ"⌱C51.ᵬÃÄ]ᐳ5Æ20⍝ᦪÇ⚪,e]È5ÆᐸÉḄ12⍝⚪e⍝⚪Èᨵ]5Æ.Êᨵ]5ÆḄ⚪ËÌÍ⚪ÊᨵÎ]5ÆḄ⚪ËÌÉp⚪]5ÆḄ⚪ËÌÏ᧕⚪Í⚪Ï᧕⚪(()⚪+Aஹ6Bஹ5Cஹ4Dஹ3⚪◤⌕¢ᔠᦻÒÓᩭᳮ5ÖÓ×ØÙÚḄhttp://bbs.qzzn.com/read-htm-tid-9818850.html14⚪ᡃ¶ÛA⊤ÝÍ⚪B⊤ÝÉ᫏⚪T⊤Ýßᓫ⚪(1)A+B+T=20(2)A+2B+3T=12*3}áâáᦻÒÓÉãä⌕å¨ᳮ5Ḅæ(1)x2-(2)=A-T=4}"ᡃ¶⌕'ḄÍ⚪ßᓫ⚪(Æ4çèØ(]È}éêὑ`Ḅë஺ᙠìvᵨ}᪵éḄ`᎛`@)஺¥íîᐰ5¨ðñòᵨA+2B+3T}OáḄ`᎛}⚪ᡃᙠóᑖᨵôõ52.ᵬöᝣ⍸ùÃÄÎúöᝣᩭÌᜧûCüᙶᙠᙊÿᵨ⚶஺ᝣᙶḄᭆ᳛ᜧA.1/15B.2/15C1/5D.4/15ூ᪆௃⚪ᡃ!"ᐜ$%&'Ạ)*+,᣸ᑡ/01᣸ᑡḄ23஺ᡃ)⍝01᣸ᑡ5᝞578ᡂ-᣸ᨵ<=>?P55=120,@᝞A57Bᡂ•ᙌᨵ<=>?ᕖᡃ!"FG+,᣸ᑡḄᱯ3IᜐK+,ḄLMNOPQ஺✌STḄ஺ᡠVWᨵXYZIᑖK\ᨵYZ஺ᡠV]&7&^_`a᯿ᱥ஺daeᐰ᣸ᑡ஺ᡠV57Bᡂ&ᙌP44=24=>?gh⚪஺ᐜhjᝣk7ᐰ᣸ᑡlmP55=120=noᩩqḄrstᡃᡃuVᐜvjᝣᣊxy`37z{Bᡂ&|Ḅᐰ᣸ᑡP22=2=Kᯠ~ᡃgᝣᣚYZzO2*2*2=2"3

66ᡠVnorsḄ>?ᨵ2x8=16=ᫀ16/120=2/1553.&ᨵ=d⁐ḄᳫK᥎K⌕ᨵ10ᡠ᥎ḄPA&᪵ḄK<⌕᥎<A55B87C41D91ூ᪆௃⚪&ᐺḄ“ᳮ”⚪ᑮᳮ¢Ḅ⚪Kᡃ✌ᐜ◤⌕¤¥¦§{஺ᐸḄᦪ஺ª«¬®V~஺ᡃuV᪷°⚪±²Ḅᩩq᩽▲ᓄᑖ¶஺§{K⚪·¸¹ᡃ=d⁐ḄᳫºG»2ᳫ¼ᡂḄd¼ᔠKOᢣd⁐Ḅ¿¶,ᡂḄ¼ᔠz{ᡃhᨵ<(¼ᔠ)ᕖ4=⁐Ḅ¿¶lmᑖ=rs(1)d⁐Ḅ¼ᔠtC(4,2)=6(2)⁐Ḅ¼ᔠtC(4,1)=4ÂÃÄÅ(¼ᔠ)Ḅ=ᦪO6+4=10=⌕Ḅ10ᡠ᥎ḄPA•᪵஺ᨬÇḄrsO=¼ᔠ¬È᥎ᑮᨬᜧ▲Éᨬᜧ▲ÉO10—1=9=ᡠVᫀ9x10+1=91⌱D54.Ë)TÌÍᯠᦪḄÎ1680,ᦪḄÏ()Aஹ22Bஹ24Cஹ26Dஹ28ூ᪆௃Ñ⚪d┯Ḅ⚪KÓÔÕÖ×ᓫḄ⚪஺>?ᨵ3=஺>?&tᑖÙÚ?1680=2x2x2x5x6x7&Åᯠᦪ5,6,7,8Ï`26஺>?ÔÕÖḄᦪÛ〉ᔠ஺᝞AᦪÛÕÖᜧḄÝ஺ᑖÙÚὑßḄà?஺á᜜ªTÌÍᯠᦪᐰᔠᦪḄrsKz{ᑖÙÚᩭäÑ¢⚪Oåæçè஺>?étᦪÛᱯឋ?¸¹ᜧë•ᦪÛìíî*tTÌÍᯠᦪḄïÎ!&ᦪḄð>&1

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69▭&+26+5+1=32/ᩭ01Ḅ&161—32=129259.ᵬ425678ᓤ12:;1:<=☢,?7@“B5ᑮDEFGᙠIBJ515ᑖ

70ᑮ6Y¨mLNᑖ%YᡠGḄ6R᪵ḄYᡠG◀G6&ᡃ◤⌕Ḅ1,1,482,2,46,3,3,444,4,4250/2=25ᡠGᑮ24,24,2᪵Ḅ,oP33-P33/P22=3®ᡠGᐳ,o24x3=72ᢥ᯿᪗ᩭ#1176+72=1248ᡠGᡃ%R◤⌕ᡷ◀6±m1¨mL²ᑖ%ᡠG³ᫀ1248/P33=208µg100¶·⌕ᑮM᪥33ᓟºᜐḄ,¼½¾¿.Áᨵ•Ã[Ä255ḄÅYmÆᐰÈ·ÉÊᙢᑮDḄᙢYQË@ÌͤÎÏÅ6ᔠḄÑ.ҷͤÓÔmÕV5ᓟºYÅÓÔmÕV55ᓟº.⌕Ö×ᐰÈ·RÉÊᑮDḄᙢYᡠ◤VWᨬ,_ÙA...........P.....R.....C.....S.....T.....Q...........BAQPTRSC=AQ+QP+PT+TR+RS+SC=(55/5)*QB=11QB=11ÚÛᐳὃ⇋ᐰÞḄ6ßᢥµ⚪àáS1+(1/3+2)=2S(S1=AQ+QP)S2+(1/3+2/3+2*2/3)=2S(S2=PT+TR)S3+(2/3+1+2*1/3)=2S(S3=RS+SC)S1+S2+S3=11Ú11+(1/3+2)+(173+2/3+2*2/3)(2/3+1+2M/3)=6SᡠGÛáÞS=3ÚᡠGÅâ2ÚY5â1Ú22/55+11/5=13/5µJgᨵãäḄÕ·⌕ᑮ,¼½å澿YÁᨵÃÅç〈஺BäḄ·ᙶÅé᪥êëḄV,YBJä·ìíͤîÅᑮ⌶8ðᜐYñBä·¢ÅͤYÅòvóôçBJä·Å?çìõ,¼½YᨬöãäḄ·VᑮD,¼½஺ҷͤÓÔmÕV4÷(YÄ·VÅÓÕV40÷(YÅ50

71÷(/ÕVYjBäḄ·Í¤ᐰÞḄùᑖúù_A.1/7B.1/6C.3/4D.2/5Ù᪆A….…P,…….Q.........B(40/5)QB5;"<ᙠᨬ@ḄᑁᑮB'CDᵬE"<◤⌕ḄHIJ()஺Aஹ1511B,1722Cஹ1924Dஹ2127NᢥᜩQ-R⚪TUV᪆XᵨZ[Ḅ(\]ᩭQsunbbird);[_`a\]ᵨbc3ḄV⚪d7'ឤ3⌱gh\]d7Viᐜᩭk;ᐰlAooooooP.............Q஺஺஺஺஺஺BᎷnᵬᐜᙶ0'A"᪥pq'B%&rq'Qᵬs/0Ḅᙢq'P/0uḄpqCDQBᵬ"<ḄHI'AP"<ḄHIᨬ@ḄᑁᑮBvw;ᑮBrqBCDAQ/V0+QB/VEF=AP/V+PB/V0(AP+PQ)/48+QB/4=AP/3+(PQ+QB)/48QB/4-QB/48=AP/3-AP/4811QB/48=15AP/48QB/AP=15/11iᫀA23.z{Ꮭ}~-ᢇ'(ᜩ}~20;'1ᜩᡂ஺~4ᜩ'ᵫbᢈᦋ'(ᜩ}~5;'3ᜩᡂ''5ᢇᨵ;A300B280C360D270V᪆nX;᪷ᜩᦪ-ᑡ\`x/20+1=(x-20*4)/25+3+4(ᑗ⌕+4,☢ᵨ=4ᜩ)V\`x=28024.~¡ᨵ12¢᜜¤['ᐸ¦6[§¨©ª,5[§¨]ª,5[§¨«ᱛª;ᨵ3[ᓽ§¨©®§¨]'ᨵ2[¯§¨]®§¨«;ᨵ2[¯§¨«®§¨©;ᨵ1[5°ª±²§¨.ᑣ8§¨-°ª±Ḅ[J•°ª±²¶§¨Ḅ[A1B2C3D5V᪆'a\]·ᨵghḄ%¸¹ᵨºᐹ¼⚪ᐹ¼ᑖ᪆V᪆¾(°ᐹ¼[ᦪ

72✌ᐜ°²§1[8§°8§©]3-1=28§]«2—1=18§«©2—1=18§-°8§©6—1—2—1=28§]5-1-2-1=18§«5-1-1-1=2-°À¶§12—1-(2+1+1)-(2+1+2)=2ᡠ8§-°J°¶§24-1+2-2=325.=Á2008ÂᓅÄᝍƧÇᡂÈ⁐ᝍÆ'ᐰ¤ᔜᙢ²ᙠ}ËÌÍ'Î᪛⌼᪍஺ᓫÒᑜᙠÔÕ;JÖ×✂ḄᩩUḄ(¶ÚÛ)ÜÝÞ᪛'ßÆà-ᢇ᪛á'âã-ᩩUḄä4å-ᩩUä4Ḅæç6000+,é(◞4+Ý-ë'ᑣ2754ëìé(◞5+Ý-ë'ᑣ396ë'ᑣᐳᨵ᪛á()A.8500ëB.12500ëC.12596ëD.13000ënHIS,᪛Ḅ᪛ᩈX,᪷⚪ïᑡ¾\¡[(3S+6000)/4+1]*4=x+2754[(3S+6000)/5+1]*4=x-396᪷\¡'ð$S`ᑮX=13000-.0!ᵬᙢñÕᙢ'᝞320%,Jów-)ᑮB஺᝞ó3ô120ᓟ+'õö34÷25%,ᑣ40ᑖøᑮ஺CDᵬஹᙢÚHᓟ+Aஹ240Bஹ270Cஹ250Dஹ300n34x,HIS,᪷ùúᑡ\¡:S/(6x/5)=S/x-1;(1)120/x+(S-120)/(5x/4)=S/x-2/3;(2)ᵫ-¸`s/x=6(3)ü2`x=45üᐭ3`s=270