数学复习总纲

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7PMᐜ[ᵬ᣸᣸ᙠḄ5+(Ḅ+ᓽC5a1=5bMᒕḄ6+]ᓽ~P$ᑣP66=720ᡠᦪ720x5=3600(2)¡rᙠ᣸ᜮᡈ᣸Ḅ12᣸#ᨵ/05(1440)ூ᪆௃PM£¤¡ᙠ¥+(᣸ᜮ᣸⌱ᐸPC2a1=2bMᒕḄ6+]~P$ᑣP66=720ᑣᦪ7202=1440(3)ᵬ1ᙠ᣸ᜮᡈ᣸2§¡1ᙠḄ12᣸#ᨵ/05(3120)ூ7᪆௃ᱯ©=>ᐜN᣸ᱯ©=>Mᵬ1ᙠ᣸ᜮ᣸ª«1ᙠḄ=>¬◀3+(ᒕ4+(®ᵬ⌱GC4a1=4,ᒕ6+(ᐜN(ᓽ◀¯ᵬ¡2]ᐸ°5]Eᓽ5±²ᒕḄ5+(~P$ᑣB|J5xP55=5*120=600ᦪ4ஹ600=24002=>Mᵬ1ᙠ᣸ᜮ᣸ᵬ᣸ᙠ(ᑣᒕḄ6+(~P66=720lᑖ?³´஺ᡠᨬTḄµ=>¶ᓽ2400+720=3120(4)ᵬஹ¡·¸¹Ḅ᣸#ᨵ/05(1440)ூ᪆௃¹ᵨᣊ»$ᑣ2]¼]7+(¼ᡂ6+(ᓽᑖ³´1⌱(C6a1=62⌱`ᩭḄ2+(Aᵬ¡ᙠ᣸ᓽP22=2ᑣN᣸ᵬ¡tᔠ=>Ḅᦪ2x6=12ᒕj.Ḅ5+]ᓽ~P55Ḅ½¾=120ᑣᨬT120x12=1440(5)ᵬ·¸ᙠ¡Ḅ¿À(1P¤¹)Ḅ12᣸#ᨵ/05(2520)ூ᪆௃d+⚪ÃvÄÅ´ÆnN᣸ᵬ`Çᙠ¡Ḅ¿À¶`Çᙠ¡ḄÈÀḄᭆ᳛P᪵Ḅ஺ᡠᡃD1ὃ⇋¿ÈÍ⚪ᑣᦪP77=5040᪷V¿Èᭆ᳛ÎḄ$ᑣᑣ᣸ᙠ¿ÀḄ=>ᦪ5040+2=25204,ᵨᦪ|0,1,2,3,4,5}ᡂJᨵÏÐᦪ|Ḅᦪ.(1)}ᡂ/0+z(ᦪ5(300)ூ᪆௃z(ᦪÑÒ(±²ᑮÓ(Ò(ᱯ©1᣸00ᑣrᨵ5ឋᩭ3+(~P53$ᑣ=5x4x3=60ᓽᦪ60*5=300(2)}ᡂ/0+Ôᯠᦪ5(1631)ூ᪆௃ÔᯠᦪÑ+(ᦪ±²ᡠᨵ=>ᑖ=>1(ᦪMC6a1=62(ᦪMC5a2>

8ᦪ1631de7ÖP4×᝞2(ᦪMC5a2xP22+C5a1XP11=25ᐜÑ10Ḅ5+ᦪ|a2+᣸ᑡᓽC5a2xP22Ùᨵ=>Ñ10Ḅ5+ᦪ|⌱•+¶0Ûcᡂ2(ᦪᓽC5a1*P11l01lᨬÒ(ᡠᨬÒ(rᨵ13
}ᡂ/0+Ü(᜻ᦪ5288
ூ7᪆௃Ò(1l0+(l᜻ᦪ1,3,5ᑣᐜὃ⇋Ó(ὃ⇋Ò(ᓽ3x4xP44=12x24=2884
}ᡂ/0+Þ25᦮◀Ḅz(ᦪ521
ூ7᪆௃Þ25᦮◀Ḅ4(ᦪᨵ2T2(25M3x3=9T2(50MP42=4x3=12ᐳ9+12=21á5
}ᡂ/0+201345ᜧḄᦪ5á479
ூ᪆௃Ñᦪ|201345d+6(ᦪoᨬÒ(l2Ḅᨬã6(ᦪᡠᡃDoᨬÒ(ᜧ!Î!2Ḅ6(ᦪ/054XP55=4X120=480¬ᣵ201345d+ᦪᓽ201345ᜧḄᨵ480—1=479á6
åᡠᨵ}ᡂæ(ᦪḄ¶.á32640
ூ᪆௃C+(Eᩭᑖ᪆Pç(;Ḅ¶MM1=100xP525+4+3+2+1
ᓝ(;Ḅ¶MM2=4x4x105+4+3+2+1
+(;Ḅ¶MM3=4x45+4+3+2+1
¶M=M1+M2+M3=326405ஹéêêë100ìᐸᨵ2ìíëÇᙠîa5ìïðñò.á1ó“ᐸាᨵµìíë”Ḅî#ᨵ/05á152096
ூ᪆௃qÞîòḄ5ìᨵ3ìᔠ÷ḄᓽÑ98ìᔠ÷Ḅa`ᩭḄᡠᓽC2a2xC98a3=1520962
“ᐸាᨵPìíë”Ḅî#ᨵ/05á7224560
ூ᪆௃2;<ᑖ᪆ᐜÑ2ìíëᢧ1+íëÑ98ìᔠ÷Ḅêëᢧ4+C2a1xC98a4=72245603
“ᐸJᨵíë”Ḅî#ᨵ/05á67910864
ூ᪆௃ᑣᓽᙠ98+ᔠ÷Ḅîa5+C98a5=679108644
“ᐸù0ᨵPìíë”Ḅî#ᨵ/05á7376656
ூ᪆௃ᐰû᣸ᑡᯠT¬ᣵJᨵíëḄ᣸ᑡ=>qù0ᨵ1ḄC100a5-C98a5=7376656á5
"ᐸù/ᨵPìíë”Ḅî#ᨵ/0575135424
ூ᪆௃ᡠᨵḄ᣸ᑡ=>¬ᣵᨵ2ìíëḄ=>ᓽù/Pìíë=>ḄC100a5-C98a3=751354246,Ñ4ýᵬþ¶5ý¡þᵯ
3ᐸ⌕ᨵᵬᵯ
ᔜ1ᑣḄᐳᨵA
140B
84C
70D
35ூ᪆௃᪷"ᩩ$ᡃ&'(ᑖ2*+

9-•*+/2ᵬ+1ᓽC42xC51=6x5=30-2*+/1ᵬ+2ᓽC41xC52=4x10=40ᡠ(4ᦪ630+40=707,ᙠ50$89ᨵ4$6:9;<5$ᨵ3$6:9Ḅ<ᨵ_.?᪆௃ᨵ3$ᑣ@A63$ᡈ4$3$/C43xC462=41404$:C44xC461=46ᐳD64140+46=41868ஹᨵᵬஹஹFG⚗Iᵬ◤2KLMஹFᔜ◤1KLM.;10K⌱O4KLMPG⚗IḄ⌱ᐳᨵ(C)(A)1260(B)2025(C)2520(D)5040ூ᪆௃ᑖRSᡂ-UR/ᐜ;10Kᢧ⌱4KḄXᨵ/C1011X4=210-2R/ᑖYZᵬ[Ḅ\]6C42xC21*C11=6x2x1=12*+ᑣ᪷"ᑖR^ᑣ_ᐵa210x12=25209ஹ12bcᑖdᑮGfḄghijklmḄnopqfgh4KᑣḄᑖYXᫀᐳᨵ_C(4,12)0(4,8)0(4,4)Uூ᪆௃qfghsᢥ:uὃ⇋-Ufgh6C124-2fgh6C84-Gfgh6C44ᑣxy6C124xC84xC44ᑗ{ᑮ|P}ᨵK~@•:ᩩḄg6◤⌕P33ᔩᐸ6P᪵Ḅᙠᡃ&;12K<KᦪḄ᎛ᐸPᑖ*+ᒹ|gḄ*+Ḅᒹ஺᝞yxP33ᑣ6ὃ⇋|᝞yP}ὃ⇋ghḄᓽs6ghᑣ*+U᪵ᡃ&ᙠᑖYKᦪḄ᎛ὃ⇋|ghḄ஺ᡠ(ᨬ⌕◀P'{*+ᡠ(ᙠxyḄ*+⌕+P3310,ᙠU⁚⊤^ᨵ8f⁚pᢝ^ᨵ⁚Ḅ¢u£¤¥U:f⁚¦ᐳᨵ§¨᣸Xª990ூ᪆௃P6᣸ᑡ¬ᔠḄUX®¯2:°±²³´µ¶·ᦑ'ᐜᵨUf⁚°9f±ºᨵP(9,1)X»ᵨ¼Uf⁚½°10f±ºᨵP(10,1)X»ᵨᨬ•f⁚°11f±º,ᨵXᵫ_^ᳮÁ:ᡠᨵḄÂ¥XP(9,1)xP(10,1)=990஺¼/ᐜᙠ11fºÃ᣸ÄÂḄGf⁚ᨵP(11,3)ᙠÅḄ8fºÃ⊡I:^ᨵḄ8f⁚ÇᨵUᡠ(ᡠᨵXᨵP31"1=990஺4.ூᑖÈ௃᣸ᑡ¬ᔠÄÉÊὅ:(ᜩ1)2009-2-19Uஹ᣸ᑡ¬ᔠËÊ1ஹÌÍ6C

10ÎÏC6ᢣ¬ᔠ;NfᐗÒRfij᣸ᑡ(ᓽ᣸u)ÔÕ᝞/Ö×113ḄØÙᡃ&Ú2fᩭÜᵨP}Ý6Þᵨ¬ᔠß6᣸ᑡ⚪Ç6⌕¦Ú2fØÙḄ¬ᔠ஺ᓽC(3,2)=32ஹÌÍ6PᡈAÎÏP6ᢣ᣸ᑡ;NfᐗÒRfij᣸áU(ᓽ᣸u)஺Õ᝞/113,ᡃ&2fᦪâᩭ¬ᡂ2ºᦪ'(6ᐜC(3,2)᣸P22,Ý᪀ᡂ|C(3,2)XP(2,2)=A(3,2)3ஹACḄᐵaäåæᡃ&☢2fËÊḄᑖ᪆ᡃ&'(èḄ6AéC§|Uf᣸uRêᓽ¬ᔠ6᣸ᑡḄUëᑖì6-URê஺4ஹDíXÏ(îᢈð⌕¦¬ᔠ/C(M,N)=M!4-(N!X(M-N)!)ᩩ$/N<=M᣸ᑡ/A(M,N)=M!;(M-N)!ᩩ$/N<=M|ᙠ¯᣸ᑡ¬ᔠḄæñ{òóôᨵõ⌕Ḅ⌕¦ᡃ◤⌕ᜧ÷{òøùḄúû1-7Ḅ▤_ýᯠᙠÞíḄæñᡃ&⌕c~;⌮ᔣ
ὃ⇋⚪᝞C(M,N)NᜧᡃM-NḄᔲᜧ஺᝞ᜧ஺ᡃ!C(M,[M—N]),"#C(M,N)=C(M,[M-N])$ஹ᣸ᑡ(ᔠ*+Ḅឤ-./1ஹC(n,0)+C(n,1)+C(n,2)+……+C(n,n)=2An2ஹC(m,n)+C(m,n+1)=C(m+1,n+1)┐122(./ᡃᩭ45ᵨ(1)ᨵ10ᙽ9Ꮇ;<ᜩ>?ᔛ1ᙽᨵA?BCḄᔛDEFGHC(9,0)4-C(9,1)+......+C(9,9)=2A9=512(2),.IJ14KLMNᙳᑖQᵬST⌱VWXYZḄLMᢥ᯿⌕!ᵬ^SA⌱1K_`aᵬᢥ᯿⌕!bcᢧ⌱ḄeDfSbcᢧ⌱ḄeDgh#70,!ᵬᢧ⌱iA?KWXYZEC(8,n)=70n=4ᓽkᑮᵬ⌱Vi4K஺nஹ᣸ᑡ(ᔠḄopᳮrs⌕tᑖ(ᑖvhᑖw)(1)ஹXDyᳮ(z{|}•Bᑖvyᑣ)H•ᱥᵫᙽ(ᡂḄᡃ⌕a⍝2ᱥᨵAz▭|ᑖᩭ^᝞ᡃa⍝<ᙽḄᯠh}-2ᱥḄi2}ᡃ⌕Ḅᑖvyᑣ஺᣸ᑡ(ᔠᡃ⌕!ᡂḄឋBvᡃJ2ᑖᡂᩭ஺ᓄ᦮#᝞H7᣸ᐸᵬS¢£ᙶᙠ¦|஺ᨵ§BeD஺᪷©ᑖvḄeD஺ᡃªv«¬Hᵬᙶᙠ¦Sᙶᙠ®¦ᐸ¯°±ᙶA(5,5)ª$v«¬Hᵬᙶᙠ®¦Sᙶᙠ¦ᐸ¯°±ᙶA(5,5)ᡃᑖ²V2B«¬³´!hᓽkᑮGᫀ஺2}ᑖvyᑣ஺2᪵}A(5,5)+A(5,5)=240(2)ஹ·Dyᳮ(z{|}•Bᑖwyᑣ):¹•ºᡂ◤⌕ᑖᡂnw¼¹ª•wᨵmlBCḄeD¹ª$wᨵm2BCḄeD,……¹ªnwᨵmnBCḄeDºᡂ2ᐳᨵN=mlXm2Xm3X---XmoBCḄeD.᝞H7᣸ᐸᵬS¢£ᙶᙠ¦|஺ᨵÁBeDᢥ᯿ᑖwyᑣªwHᡃᐜ1ᵬSg᜜Ḅ5ᐜ᣸ÄÅÆÇḄÈÉᩭA(5,5)ª$wHᡃÊ᣸ᵬSA(2,2)2᪵}A(5,5)XA(2,2)=240

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A+B=Cᨴᐢᡂᜧᐢᡠᨴ1ᓽA1஺2ᨴᒕᐢᔠ2B2஺1,2,3,5.8.13,21,34,55,89,144,233!"#$%&'()*+,-./0ᡈ203▤஺5678)"9:ᨵ1603▤#<="ᑮ!"ᐳᨵ@ABCDḄFGHAI54BI64CI57DI37⚪KLLMᑮNOᡃQᵨ᣸ᑡUᔠḄVGWXYNOZᙠᡃ\ᩭ^^_`a᜿ᦪᑡḄdG)*0ᦪI1,2,3,4,5,6.......FGefI0#1.1,1,2,2.......•_`a᜿Ḅ:◞iᵨ$jᨵF1-ḄefᓽA+B=D0.1,1,1,2,2,3,4,5,7,9,12,16,21,28,37

20ᙠkl1⚪I!"#$%&'()*+,-.0#/0ᡈ203▤஺5678)"9:ᨵ1003▤#<="ᑮI"ᐳᨵ@ABCDḄFGH1,2,30,mᡠmnᵨA+B+C=DḄ_`a᜿ᦪᑡopqᑡkr3ᑖt1,2,3ᑣ101,2,4,7,13.24.44,81,149.274vw⚪KI!"#$%&'()*+,-.0ᡈ203▤஺5678)"9:ᨵ1003▤#<="ᑮ!"ᐳᨵ@ABCDḄFGH9.ூyzᑖ{௃ᐵ~ᦪ⚪Ḅᑖ᪆ᡠ⚪ᡃQmM☘⚪#⚪Ḅᱯ2&ᐹᨵ(7ḄM1UḄil᝞ᐺḄ☘#%(5ᩭ353Ḅ2Ḅ¡஺~᪵Ḅ⚪ᐸὃ¥Ḅ⌕Iᡃᨬ¨⌕
Ḅᨵm©ᙠª•UḄ(«¬ᑖḄ+¡5yᑮKḄᡈὅ^5y¯ᡂ°±஺᝞²ᯠMUᩭ¡´ᐸᑮKḄµ¶·(¸µ¹•7º»'஺ᡠCᨬ¼Uef½¾rᑨÀ¡Á᧕ÃÄoᜧµefqÅ☢ᡃᔠ3l⚪ᩭMḄ⚪KqlIᦪ20ZᙠᐜÈ30,\É20,\È30,\É20,Ê᪵ËÌAyÍ@A&500?ᡃᐜÎᨬ¼Uᑮ500ḄQ¡ᡃÏ+30,-202&M1U#ᡃÐÑM+30Ḅ+᎛ᔲ©Ôᑮ500ᐜÎᨬ¼&ÕÈ◤⌕+30×ᦪ20%UÕÈ10<=᪵Ḅ500-30-20
/10=45UQ¡^yÍ45Uᓽ90&ᑮY470Øᫀ¡91&lIIḄ᱆᱆ᙠÛÜ(Ý#<ÞḄßàáᜩãä7åæᜧ#$Ḅç⊤ᵫ~êßàḄëìFµCíî#áᜩï1/2ᑖð,ãÞ᠒1/3ᑖð#$10ᨴ1óáᜩô+:#ᑮõᜩç⊤íöï5ᑖð?A10ᨴ25óB10ᨴ28óC10ᨴ26óD10ᨴ29óᡃ6⍝áᜩä(Uᓽᜩ᦮úefmᙽ1/2-1/3=1/6ᑖð⌕µï5ᑖðᓽᡃÐÑᨬ¼áᜩefüýᑨÀᓽᡃÎþ5—1/2=4.5ᜩ

21ᢥ᯿
ᜩ1/6ᑣ⌕4.5ᜩ◤⌕4.5/(1/6)=27ᜩ᎛ᡃᜩᓽᡂ28ᜩ5ᑖᫀ"#10ᨴ28%஺'()*+,Ḽ10./*01•.3450
◞4ᑖ"ᨵ•./*8Ḽ3ᓃ0:ᙠ1•./*3ᓃ52ᑖ0<ᨵ=.E*ᙠ*+>?,A5
◞6ᑖ"ᨵ=./*ᙠ*+>?0>?ᙠ/*+Ḅ/*0CDE◞4ᑖᙠF10.G53/஺HI0J1=./*3/G50KLᑖ0*+1EMᨵ/*,ᶇOA104B108C112D116⚪QRST“☘WXY”[⚪0ᡃ\]^8_ᨬabc0ᔲᑣᡃefᶍᙠhijk᝱Ḅ=mnᓄ஺pᑮr[⚪✌ᐜ"#_hij#ᙠuI᎛v0vḄkwxI᪵஺᪵z{ᑨ}஺'᝞“☘WXY”[⚪010ḄY0☘W
EX5"e4஺[E]Xᩭ஺⚪QḄhij"#☘Wᨬ5=EX5Ḅ᎛{ᑮY"#ᡃ◤Ẇᑮ☘WXᑮ10—5=5Ḅᙢ0#(10—5)/(5-4)=5E஺ᨬ5••EḄ᎛ᡃ"◤ὃ⇋ᑮ⚔஺᪵⚪QK¡¢116ᑖ0ᐸF"#¤┯¦஺ᡃ§¨ᐜ_hij஺ᡠªḄhij"#*+ᒕ1./*Ḅ᎛Ꮇ#Nᑖᒕ=./*N/4+1=(N-2)/6+1+(10-1)uI®¯+1H##°᪛[⚪஺J0ᑖ²³ḄᡠA⌕K1E´µN=104ᑖᡠAᡃ¶⍝104ᑖḄ᎛#hij/*+ᨵ1./*Mᨵ3/஺108ᑖḄ᎛0¸*34஺:•.ᓃ*ᑮ*+ᑣ#ᙠ110ᑖḄ᎛0ᡠAJ108¹110º»#*+✌E¢Mᨵ/*Ḅ¼ᫀ½¾⌱10.ூÁÂb௃ᐵTÅ'ÆÇnÈÉឤËnᓄḄÌÍᑖ᪆ÏÐÑ⌕#ÒÓᙠ=mÔᙠ(nÈÕÖÇ0ᵫTØnÈÉឤ0Ù᜜®nÈG»ḄᐵÛÜ¢ḄÝnÈvᦋnḄßᑖàáãäᦪæᩭ_´ḄÆ0çèÅ'ÆÅ'Æᡃéᶍᑖ2R(=)nÈnᓄGÅ'ßᑖᜧìAíὃI:☢ï8Ḅð⚪ñòóôßᑖḄ⚪Q(õ)nÈÉឤGÅ'ßᑖ#Ýᡃ_´Ḅö⚪ÇØnÈឤ÷Ḅøô஺ÝឤÈᙠ᦮Å'ÇᡠµḄÅ'jḄ\í᯿ᱥḄnᓄᩭûᔣ´᦮ýnᓄᡈὅ
ᐵὶḄᓄḄ஺☢ᡃ⚪ᩭ᪵Ḅூ2008⚪௃"#$%&'Ḽᔜ*+⁐Ḅ-ᳫ/ᐸ12ᳫᓰ4ᑖ"/6ᩭ78$%&'10#2ᳫ/:2ᳫᓰ;ᦪḄ=ᑖ>/?@ᩭ$%&ᨵBC-

22ᳫDA8B12C16D20#⚪E1ᡃFGHIJKLḄMᑖ◀2⁐-ᳫG᜜ḄMᑖᡃPQR2⁐Mᑖ-ᳫ#ᦪ=2⁐+R2⁐UVWR2⁐X᦮Z=3X4[\10#2ᳫ6R2⁐X᦮Z=1X3]#^_Ḅ`᯿bcLdḄef10#ᳫᡃFGg⊤id"ឤḄ^_kl"mᩭJ3X41X3=3X9ᡃno᦮ZḄ^_knpᓄᓄBC9-4=5#^_qbrḄs10#-ᳫᡠGu#^_q2#-ᳫᑣwᫀry2x4=8#-ᳫூz⚪>௃{᪥}~ᨵᵬ/]#/ᵬpᦪḄ5/7,᝞3ᑮᵬ/ᵬᦪḄ4/5,ᑣ@ᨵpBCDA.49B.63C.72D.84#⚪EḄឤᵬ]#~Ḅ;ᦪ/ᡃno⚪EᡠᨵḄᑁMᨵ᜜Ḅ\ᐭ᦮ZḄᜫ஺ᡠG;ᦪs"#ឤVWḄ:᎛ᦪX;ᦪ=7X123ᐭᵬᑣ^_npᓄQᦪX;ᦪ=5X9

23;ᦪᑖ129#^_qLl•Ḅᓽu#^_ᓫkLdᡠGᡃ✌ᐜḄsl•^_k129Ḅᨬ-¢£ᦪ36¦§¨6Ḅ^_sFG⊤iQ21X3620X36ᡃnoᵬḄᦪB•#^_q¦§1#^_qsbrḄᐭḄ3;ᦪ36#^_qᑣ;ᦪ3x36=108¬ᦪᑣ3x21=63ூz⚪=௃ᨵ®ᔠ°10¢±/\ᐭ®6/ᐸ1²2³/²®3³஺᝞\ᐭḄ®´\1£/¦§ᓰ3³/®ᓰ7³/?¶·\ᐭḄ®BC¢±DA3B4C5D6¾⚪ḄឤᡃFGJ¿Kᩭ/ᨬ¶Ḅ"·X®=2X3À·\ᐭ®6/X®=3X7ᡃ᪷ÂÃḄl""^_2X3=6X93X7=6X14ᡃno®´\14-9=5#^_q¦§´\ḄMᑖÅÆ᧕sFG⌱⚗&☢Jᑮ5#wᫀ᝞⌕ᐹZÌkÀÍÎÏὃᡃ§Ñ⍝2·´\Ḅ®"᪵B஺¦§ÓÔᑮ10¢±Ḅ:᎛®ry9-5=4#^_q4+6=10u#^_qs1¢±ÕᯠᡃsÑ⍝×ØḄks5¢±;ÙXÅB?⚪ᐸÚᐸÚsÛÜÝ"#ᢚ1ᡈὅÛᢕâ"#ᱯä^_åsæᡃÛᙠèᙠᓄḄ1Ý×ᓄ^_éê஺¬ÝKᓄḄë᛻î஺ᡈὅÝKïឤḄðÝᑮbñḄᐵò11.ூóô௃“ö#ḄZ÷423±,eḄZ÷è᦮ᦪ”"⚪15

24ö#ḄZ÷423±/eḄZ÷è᦮ᦪ,úûᔜLd.ᑣZ÷ᨬýḄ/ᨬ÷Fþ()
A.80B.82C.84D.86ᨵ⚪ᩩᐸᩩᕖ◤⌕ᩭ᪷⚪Ḅᑖ᪆Ḅᡃ!"#⍝Ḅ%5Ḅ&'()*Ḅ,ᨵ%-Ḅ.'/᦮ᦪ2ᔜ45678“.'ᨬ;Ḅᨬᵯ=>”✌ᐜB᪵DE.'ᔜ45F*ᨵᨬ;Gᡃ⌕DHIJ-;K⌕LM!Ḅ'N஺PQᓫḄST%2U.'150,VBWᨵX2Ḅ.'Y▲[\Ḅ]᎛ᨬ;ḄḄ.'_M!ឋaᨬ'Ḅ஺ᨬ'ḄḄ.'K%bcde5᪵⍝ᳮ஺5K஺X-5.'Y▲[\Ḅ]᎛'ḄḄghijeENgh/ᙠ;ḄlmGᓾoᨵpq஺Y▲[\2rs᦮ᦪVtᯠ%vwtᯠᦪ᪵Ḅxyeᡠ{ᡃ|[ὃ⇋vwtᯠᦪ423/5=84ᦪ3a'(84
Vvwtᯠᦪ%82,83,84,85,86]᎛ᨵV=Ḅ3
HQᓫᡃU3
ᑖᨬ'Ḅ3ᐸaḄᡈὅ2/M{஺E;ὅḄ.'Y஺᝞ᑖ;ὅV%q.';Ḅm113
Ḅ]᎛☢ḄḄ.''ᡠ{ᡃW⌕8vwtᯠᦪᨬḄtᯠᦪᓽM5᪵ᡃᩭ8⚪S⚪ᨵ21ᩏᑖ5ᑖḄᦪᔜ45ᑣᑖᨬ=Ḅ¡ᑖ()ᩏ஺A.7B.8Cஹ9D.10⚪Ḅᨬ=Ḅ¡ᑖ=⍝ᳮ᪵Ḅ஺Wᨵvwtᯠᦪ_!JḄLM!==ḄLM!ᡠ{21/5=4ᦪ167¤ᦪ¥¦⌕ὃ⇋Ḅᡃ#⍝aᦪ4,vwtᯠᦪ2,3,4,5,6ᨬᜧḄ6ᒕ©Ḅ1W!ᑖᨬᜧḄᔲᑣᑖᐸ-Ḅ/q'ᦪ«஺¬ᫀ%6+1=7®ᦪ=¬ᫀ%ᨬᜧᦪ+1ᡃᩭ8Ꮇ᝞ᦪ(24Kᑖ524/5=4ᦪ4vw±ᯠᦪ²ᑡ2,3,4,5,6ᦪ%ᑖᨬ=Ḅ4´ᡂ2,4,5,6,7ᡠ{¤ᦪ='⌕|[ᵨᨬᜧᦪ+1ᓽM

2512.ூ¸¹ᑖº௃¼½mn/(m+n)¾¿Ḅᵫᩭ(ÁÂÃᣚ⚪)ᨵᵬÆÇÈÉÁ᳛5ḄÁÂᵬÈÁÂ'120ËÆÈÁÂ'80Ë.ᙠÍÇÈ᎔qÏ(ḄÁÂᑖÐÃᣚ᎔ᐭÇÈa.᪵ÇÈÒÁÂḄÉÁ᳛45.ÍÈa᎔qḄÁÂ=Ë>¾¿mn/(m+n)=120*80/(120+80)=48¾¿ḄᵫᩭÓÔ2ᓝ«ÃÖIᑮḄBᎷØÃᣚḄÙᑖaËÁÂᎷØ120ËḄÁÂÚÛP1,80ËḄÁÂÚÛP2,ÃᣚÜᔠ45ḄÚÛPVÞ120ËḄÁÂᩭßàáᓝ«ÃÖI120-a(P1)P-P2Pa(P2)P1-Pᡃᑮ(120-a)a=(P-P2)(P1-P)VÞ80ËḄÁÂᩭßàáᓝ«ÃÖI80-a(P2)P1-PPa(P1)P-P2ᡃᑮ(80-a)a=(P1-P)(P-P2)᪷2âSḄãäÙᑖᡃM{ᑮ(120—a)a=a(80—a)ᓄQᑮa=120x80/(120+80)iæᔜçḄÚÛYᐵ!⊡ᐙìIE2íîïḄÜᔠÚÛ4Ï஺ᐸM{8ðᐜñ2íîï|[Üᔠᙠᢥ᯿âSᑖôᡂ2Ùᑖ஺ᡠ{ᡃᎷØÃᣚeaË

26aË4Þ120ËḄîïᒕõÙᑖḄâSK%ö÷ÚÛøḄùúâSæûüḄý᯿þ(K5âS஺ᓽ(120-a)/a=120/80a=48Ëᡈὅ(80-a)/a=80/120a=48Ë13.ூᕜ
௃4⍝ᐺ⚪(᪆DONE)⚪.1ᑮ500500ᦪᨬᦪᐸḄ!ᦪ"#$%7Ḅ&ᦪ஺ூᜩ*᪆௃+7ᦪ1,-.ᦪ/%1,2,3,4,5,6,0,⌕12!ᦪ"#$%7Ḅ&ᦪ-34ᐸ.ᦪ"#5$%7Ḅ&ᦪ஺ᡃ789ᢧ⌱0,1,2,ᡈὅ0,5,6>?7/3=2@5%AᨬᜧḄᦪ$CDE2,G᝞᝞I%1,2,334ᡃ7J3,3,1᪵Ḅ.ᦪ-ᐸ#5%7500/7=71.ᦪ%3,LᒕNḄ3ᦪ.ᦪ%1,2,3⌕2O2ᨬ-34ᡃ70,1,2PQᔠ〉>?ᨬUᒕNḄ%1,2,3ᡠJ᪵5W2X%Y◤[0$CDE2᝞IDE2%3J\Ḅ]305J᪀ᡂ7Ḅ&ᦪ0@C`7᦮◀ᡠJcᫀ%711,2#ᒕNḄ,1,2᜜f2071x2+2+2=146⚪gh50iIᑖᡂklḄ3ᚮ-+ᚮn1-ᨵpᑖqrூᜩ*᪆௃⚪sᡃ7JᐜhᐸuvwxqᩭẆ{345%C492=1176|}\wxq%┐Ḅ$l,$lᑖḄᩭḄ-%klḄᚮ஺ᡠJWᡃ7ᢥ᯿!ᚮᔜ$kl?᪗ឮᑮ᝱ᩭ஺ᡃ7W1.1,482,2,46,3,3,444,4,4250/2=25

27ᡠJᑮ24,24,2᪵ḄWP33-P33/P22=3ᡠJᐳW24x3=72ᢥ᯿᪗ᩭu89%1176+72=1248pᡠJᡃ7+,/◤⌕ᡷ◀6p?1p>?$ᑖ,ᡠJcᫀ%1248/P33=208p⚪!1—1998,ᨵᦪᐸᔜ\Ḅᦪ"#C`4᦮◀rூᜧ*᪆௃$+4ᦪ/J⚪sḄᩩᡃ+40ᦪ1,5%ᕜ¡G᝞12$¢13J-20$¢22J-32$¢35J஺40£50"¤/஺5%ᕜ¡ᡠJᡃ7uᨬU&ᦪ%1996%ᨬU4Ḅ&ᦪ1+9+9+6=25$¢Y389%1999⊡\¦ᡠJcᫀ%1996/4=499X%1999$§ᙠᐸ©ᡠJcᫀ%499-1=498⚪ªᨵ•ᢇ®ᑖ¯?1ஹ2ஹ3ஹ4,5ஹ6,7ஹ8,9ஹ10#11ᔖ²Ḅ³ᩈᩩ-¦7Ḅᦪµ/¶-·©〉¸⌱3᪷ºᩩv?!ᩩ»,¼ᡂ!½¾஺᝞I¿ÀÁ»%11ᔖ²-ÂC¼ᡂ$lḄ!½¾rூᜩ*᪆௃uu⚪sÂ5Ã2ÄᓫW1ஹ!»ᙳ?᦮ᦪ-Lᨬᜧ»?IIḄ!½¾Ḅᦪ?ÇCÈA
25B
26ÇC
36ÇD
37ூ᪆௃᪷É!½¾»ḄÊᳮÌ»"#ᜧÍÎ!»-Ì»"ÏÍÎ!»ÐᨬᜧḄ»%11ᑣÌ᜜Ì»"#$CDE22>?¸!»/?11Ò%Ì»"#ᨬᜧḄÒ᎛

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30320-25a=(20-a)xio1Ua⊤ᡃ⌕Ḅᓽa=8ᜩ஺3.22ᜮᔛ33ᱣḄ₝54ᜩᔛ17ᜮᔛ᪵ᱣ28Ḅ₝84ᜩᔛ஺ᜮᔛ᪵ᱣ40Ḅ₝24ᜩᔛ()A.50B.46C.38D.35!"#$ᨵ☢'Ḅ⚪)ᐸ+⍝ᳮ./᪵Ḅ஺ᡃ0⌕12Ḅ3ᓄ56Ḅ☢'2/᪵7.8Ḅ9ᨵ:;<ᜩ<₝=Ḅ:.6Ḅ஺᪷?#$ᩩA1B(22x54)/33#.<ḄCDᩩA2B(17x84)/28#.<ḄCD6E(17x84)/28-(22x54)/33=(84-54)xa⊤<₝=GHaa=0.5ᓫJKL.8ᜮ<Mᔛ₝ḄᓫJN5᪗PᓫJᨬRᡃᎷTxᜮ24ᜩᔛU40₝VWᢧ⌱Z☢Ḅ/$CD[\ᩭ^_`B(22x54)/33-24x/40=(54-24)x0.5ᓽx=35ᜮ16.ூb┯௃ᐵfghi$ᦪkᙠ⚓ṹopqḄrᦪ⚪Ḅsᝰᶧv/wxᨵ400⚓“ᦪk1ᙠ#wxzpq{|}r᪆:ᐵf"1”Ḅ⚓ᦪ⚪pḄs.B⚓ᦪḄ1/5,!Z100_f#$ᡃᨵᖪv#s▲f1000ᑁḄ2〉ᔠ1000Z᝞B/wxᨵ4000⚓,ᦪk1ᙠ#wxzpq{|}r1000+4000/5=1800#$ᫀᯠ.┯Ḅv+Zᫀ.C(4,1)xC(10,1)xC(10,1)X3+10A3=2200ᙠ#zᡃ/ᑭᵨ᣸ᑡᔠᩭ¡⚪Ḅ¢

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=1440/13ᑖCEF9GHIᑖC᪷KḄLMNḄᑖ┐95?6EF┐ᙠ3?4OPᨵR)ᓽᨬUᑖ┐VᶇḄ/0XYZ[R17?18ᑖC\ᡃ^ᢥ᯿5
17ᑖ—1440/13ᑖCXY93
26ᑖCab19.ூᑖc௃defgᐺi20⍝Lᑡlᑡmno1ஹqrstuvḄwx98400ᐗ8uzᵯ|}~7@ᨴZᑮ3900ᐗ8uzᵯ|}஺Gzᵯ|}IᐗdᵨLMḄ஺G⚪ᙠLᑡo9LᓫḄ⚪iூ᪆௃uvḄwx8400+ᵯ|}uz7@ᨴḄw⏒3900+ᵯ|}ᡠ5@ᨴḄwx98400-3900=4500@ᨴḄwx94500/5=900uvḄwx9900*12=10800ᵯ|}910800-8400=24002ஹᵬஹᑖA,Bᙢ3ᔣ3ᵬஹḄ:L954,⍗UᵬḄ:20%,Ḅ:¡¢20%,G᪵,¥ᵬᑮ.8;§AᙢOᨵ10ᓟ©஺\HA,BᙢªIᓟ©ூ᪆௃«ud¬«iᎷ¯ᐰ7<9±⍗Ḅ᎛ᵬ55±54±U:N³ᓄG᪵ᵬᑮ.Bᙢᵬµ54±᪷K:³ᓄUḄLXY54x6/5=24/5±ᡠG᪵§AᙢOᨵ5—24/5
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i3ஹAFᜩ¿ᨌ650º3720ᑮ᪥ὁÃ⌕Ä~FᜩÅ¿6ᑖCᑮ᪥஺᝞ÇAFFᜩ¿ᨌO9650º3\HᑖCÈÉLÊËI525©+,ᢥὁÃḄ⌕ÄÌᑮ᪥஺AFºᑮÍ᪥IÎூ᪆௃«rdAÍÐḄÑ«Ò9ᑡmno«i⌕Å!6ᑖCᑮ᪥ᡠᵨ930-6=24ᑖCG6ᑖC5Ḅ67Ó½9AFᑖC¢ÔI525©524ᑖC+5½Ḅ;ÕAFᵨÓË:56ᑖCḄ67924*25=600©ᡠAFÓËḄ:9600/6=100©/ᑖCd×HGH᠒ÙiᡠS=100*30=3000©«¶L93024=54ᡠ:9LḄÚL455Y=1,1@LM
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fX4*25=100©dÓËḄ:iᡠS=100*30=3000©4,ᵬÛ•ÝÞßÛàáÛḄ⚓ᦪL934,UᩭåÛ33⚓ßÛàáÛḄ⚓ᦪL³<53.GÝÞᐳᨵI⚓ூ᪆௃G⚪⌕çèḄ9ÞḄ⚓ᦪNéêᢝZ³dᡃìí?=iuNïÛàáÛḄ⚓ᦪL934,ᡠïÛḄ⚓ᦪà᦮ÝÞḄ⚓ᦪL933+4
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36#;<=>K1@=ᑮB஺ᵬஹᙢL>ḄMNO9ᓟF)A.360B.450C.540D.720ூQ᪆௃;7T%87T=10%9,ᡠ,8=>%;=>=10%9,ᡠ,8=>$%1/(1-9/10)=10@=;=>$9@=%;7T%7T=5%6,;=>%=>=6%5,CDV180ᓟFW;=>=1/(1/6)=6@=,ᡠ,Y180ᓟFḄ=>$9-6=3@=;7T$180/3=60ᓟF/=ᡠ,ᙢL>ḄMN$60*9=540ᓟF16ஹ.[\Ḅ7T60F/ᑖᙠ`a7T$20F/ᑖḄb0cdḄ.efᑮgdḄh.ᙢGijᑮ;ᙢᐳᵨ3@=30ᑖᩩ0cdefᑮgdhᙢᐳmO9FA.280/3B.560/3C.180D.240ூQ᪆௃Ḅn`7T%60+20=80F/ᑖḄ⌮`7T%60-20=40F/ᑖ஺p$Ḅn`7Tq⌮`7TḄ#$2%1,ᡠ,naq⌮aḄ=>#$1%2஺ᩩ0cdefᑮgdhᙢḄ=>$%3@=30ᑖ*1/(1+2)=1@=10ᑖ=7/6@=஺(7/6@==70ᑖ)0cdefᑮgdhᙢḄuv$%80*7/6=280/3ᓟF஺(8070=5600)17ஹ(ᐜx18⚪)•/ᜧ|q•/@}~0ᵬᙢD3ᙢ஺ᜧ|Ḅ7T@|7TḄ80%஺ᜧ|#@|K17ᑖᙠᙢ5ᑖD3ᙢ!@|W⌶ᨵD3ᙢᨬW@|#ᜧ|K4ᑖᑮBᙢ஺ᜧ|cᓤ10=0ᵬᙢḄ஺&'@|ᙠcᓤ'=᎛cᜧ|ḄA1101ᑖB1105ᑖC1110ᑖD.1115ᑖூQ᪆௃ᜧ|CVᐰv#@|O17-5+4=16ᑖᡠ,ᜧ|CVᐰv◤⌕Ḅ=>16+(1-80%)=80ᑖ@|CVᐰv◤⌕80x80%=64ᑖᵫᜧ|ᙠᡠ,ᡃ⌕ᙠᔲc஺ᜧ|W80+2=40ᑖᑮBW40+5=45ᑖN2@|ᙠᜧ|17ᑖWCᑮᜧ|C17+64+2=49ᑖ஺@|ᑮBḄ=᎛ᜧ|஺&'¡ᙠW☢.£ḄucḄ஺¤ᯠWᩭ§~ᨵ@|#ᜧ|Kᑮ4ᑖ஺&'cḄ=>@|ᑮBL¨4+(1-80%)ஹ80%=16ᑖᡠ,ᙠᜧ|W17+64-16=65ᑖc஺ᡠ,©=Ḅ=ª11=05ᑖ஺18,ᵬஹ~0Aᙢ«BᙢD3CᙢA,BᙢḄMN¬B,CᙢḄMN஺Ḅ7Tᵬ7TḄ80%஺#ᵬK11ᑖᙠBᙢᶇ7ᑖᵬᑣ¯ᙢD3Cᙢ஺ᨬW#ᵬ?4ᑖᑮCᙢ஺&'W(ᑖ=ᵬ¡°«஺A.25B.26C.27D.28ூQ᪆௃#ᵬOC11-7+4=8ᑖ஺CVᐰv◤⌕8+(1-80%)=40ᑖᵬCVᐰv◤⌕40*80%=32ᑖ±CᑮBᙢ²ᶇV³◤⌕40+2+7=27ᑖ஺

37ᵬᙠW32+2+11=27ᑖᑮBBᙢ஺ᓽᙠBᙢᵬc஺19ஹ@µC0ᵬᙢᑮᙢ¶·¸᥅ᡲ»=0ᙢᑮᵬᙢ.48ᑖW§¼⍗¶·ᑮBᵬᙢW¾cijᙢᙠ¿.À¼⍗W16ᑖc@.᝞5¶·¯ᙢ3iᵬஹᙢ&'±@ᑮBᙢ=¶·ᐳc@ÂÀ)A3B4C5D7ூQ᪆௃±¿ÃÀ¼⍗=@m16*¶·m48*2+16=112*7T#$17,±@m1ᐰv¶·m7ᐰvcÀᦪ=(7-1)/2=320.ᐘஹÅ•»Æ᪛⌕8@=VᡂᐘᐜÆ3@=ÅGÆ1@=Éᒕ11/16ᨵVᡂᐘ#Å@=OÆ7Ë᪛ÌÌᢇ᪛ᐳᨵO9Ë)()A.120B.112C.108D.96ÎÎÆ3@=ÅÅÆ1@=¼±ÎÎÅÅ.ÏÆ1@=ÎÎGÆ2@=ᡠ,ÎÎḄᦔ᳛%(5/16-1/8)/2=3/32ÅÅḄᦔ᳛¡%1/8-3/32=1/32ᦔ᳛Ò:3/32-1/32=1/16,ÔÕḄ7Ë᪛ᡠ,ÎÎÅÅᐳÆ%7*16=112Ë᪛20.ூᑖÖ௃60⍝ᦪØ⚪ḄQ᪆1.ᙠÙÚIx2x3x4x.....x698x699x700ÛÜ[ᨵ()஺A.172B.174C.176D.179ூᜩÝ.ÞQ᪆௃©⚪ᡃß◤⌕Q0à'ᡂḄáâ[ᨵ1&¡5ã.Ꮤᦪ¼Ù¡J,᪀ᡂ.0,É⌕æç25è(5ᕖ)50è(5ᕖ)125è(5ᕖᐹᨵ(5ë⌕xìᔲí(5ḄÙÚ᦮◀ð᝞25=5x5ᡠ,ᐹᨵ25,50=2x5x5ñ25125=5x5x5ᐹᨵ35ò.%ᡃ[⌕x700ᦪÝó☢ᨵO95Ḅôᦪ700õ=140ɯCᡃÉ⌕xᨵO925Ḅôᦪ700/25=28É⌕xᨵO9125Ḅôᦪ700/125=5625Ḅôᦪ%700/625=1ᐸ÷¡x700óᨵO9Ḅ5”,5"2,5"3,5ø4......5An5Anùú@700ᡠ,ûᫀ¡140+28+5+1=174

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39ூᜩ4NOP᪆௃ᡃ,ᐜᓫḄᑨ(✌ᐜmcᦪ4iᦪx9ᑮḄᦪiᦪ-ᩭḄ`Nw⍝5x9ᡈὅ0x91iᦪ஺Ḅ2iᦪx9}iᦪ¡ᩭḄᓝiᦪᡠ*᣸◀)¤ᡃ,Ꮇv2iᦪ10m+5,mfi¥ᦪ4(ᡃ,ᙠᦪ4ᐭcᦪ4bcᡂḄiᦪ100m+10c+5᪷§ᐵ©ª«¡a100m+10c+5=9x(10m+5)ᓄᑮa10m+10c=40m+c=4®ᩩ°m¡0,ᑣᨵ᝞±²(L3),(2,2),(3,1),(4,0)k´(ᫀ⌱A4.ᨵ300¶I·¸¹º(q»NN300@O(y'¼Ꮤᦪi¾¥Ḅº(FᨬᒕḄN¶ºIJOKAஹ1Bஹ16Cஹ128Dஹ256ூᜩ4NOP᪆௃⚪TAÀÁÂ(N⌕d:Ã⚪T(⚪T¼Ꮤᦪi¾¥Ḅº(1᜻ᦪi¾¥Ḅ(i¾qÅÆ>ᓄ(ᡠ*1sÇ8È#ÉÊ(ᓽᨬᒕḄ@O1Ḅ¹º஺Ëᯠ᝞²y'ÉÊ᜻ᦪi¾¥Ḅ(ᨬᒕḄ@OÍᕖKᡃ,ÏNÐÑ(01ᑮ100ᢥ'Ó᣸r஺yÔhÉᣵ᜻ᦪi¾¥Ḅ¹º஺ᡃ,ÆÖ(¹ºᦪT×A¥ᕈÖᦪÙ஺|Úᡃ,ᨵNÛÜ⌕ḄÆÖ(bmc᪵Ḅᦪ4ÝÈÞßàḄYáᯠᏔᦪ஺âᯠᡃ,w⍝2"n,Ë2஺=2ÚàḄNä1,ᙠåᩭḄ•Ôæ#ÉÊ஺p5ᡃ,ÆÖyNÔçè2"ni¾¥Ḅᦪhæl2é(ê1)Ë2"n=lÚ#ÉÊ஺ᢥ᯿᪵Ḅçè(100I·¸¹ºy'JY(Ëçè6'ᓽᒕf.ḄᦪT2(100+2ì6<2)஺᪷§¥☢ᡃ,ÆÖḄíî(ïᯠᨬᶇ$2A6=64ñòᑮ$ó1iôõᒕf•Ḅ1i஺ᡠ*ᫀ100ᑁᨬᜧḄ2An=64±aᜧøùú᪵Níîû᣸ᑡᨬᒕf.ḄᦪT☢ᨬᜧḄ2"n'5⚪300ᑁᨬᜧḄ2Ḅn'256ᡠ*᝞²y'ÉÊ᜻ᦪi¾¥Ḅ¹º(bcᨬᒕḄ@O2565.éýNþÿᐳn஺ᑮᐰᓬᙳាᓬnᐗ஺ᖪᑖ஺ᵫᵬᐜ"10ᐗ#ᵫ$"10ᐗᵬ#"10ᐗ$#"10ᐗᨬᵬ"&'ᒕ)*+10ᐗᵫ$",஺-.ᵬ/012345A.8B.2C.4D.6ூᜩ89:᪆௃=⚪?@A=BCḄ⚪?EᨵG.H2IJḄKᡠ2ᡃ@N⌕PQR:STU஺X"2AVᦪᑖXḄ᎛10ᐗ2Z[ᨬᓫRZ]^VᦪA10Ḅ᜻ᦪ`ᦪ᪷bBCᨵ=cᦪA4,ᡈὅ6fAᓝcᦪA᜻ᦪ-.=cᦪhA6]^ᨬᒕR6ᐗ$/01ᵬ10-(10+6)/2=2ᐗ6.iᯠᦪAஹBஹCஹDḄlm90,noApq2ஹBr,2ஹCs22ஹD◀22'ᡠuḄvwxy஺ᑣB{|}A.26B.24C.28D.22ூᜩ89:᪆௃vwxyᡃ~H2⌮A,B,C,D

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56᪷>ᓝ/0#ḄEFᡃHIJ0.2aOᩭḄᙳP,&%RὅḄTP.᪷>ᡃHU☢W5OᩭḄEFXY=ᨬ[A\9+5=14bc,dᦪM0.2a=14M?a=70Mghᑖᦪi+jkl100ᡠ,Mnj=1,ᓽa=70,᝕5%1.2a=8440.ᵬr,stu160ᓟxḄyz{r,stu20ᓟxḄyzᙠ}h210ᓟxḄ~EUuஹᙢஹᔣOI஺sᵬrU{rᵬry"3,{rᑣy1/3஺$ᙠRrḄyzḄuHᐳᓟx()A.1250B.940C.760D.1310ூᜩ᪆௃&᪵Ḅ¡⚪A#ᨬ¢Ḅ2"#஺✌ᐜᡃH¥¦◤⌕©⍗yzᡃHᐜᩭ«◤⌕⍗¬jyz160X(2/3)ḄN"=20X(4/3)ḄN"N¯⊤ᦪ?N=3±²³´⍗ᓽµᑮyz³⍗¶$·¸uyz160$20=8$1ᵨuº᪵ᑣ¡=yz=8$1ᡠ,8—1=1ᙌ½XḄAᓽ210ᡠ,2¡\210+7X(8+1)=270³⍗¶$yzᵬ${=4$1ᵨuº᪵ᑣ¡=yz=4$1ᡠ,4-1=3¿1ᙌḄÀÁ½XḄAᓽ210ᡠ,&'▤Ã2¡\210+3X(4+1)=350³´⍗¶$yzᵬ${=2$1ᵨuº᪵ᑣ¡=yz=2$1ᡠ,2-1=1½XḄ1ᙌḄAᓽ210ᡠ,³3▤Ã2¡\210+1X(2+1)=630ᑣÄ¡270+350+630=125041.ᨵÆÇr¶È\ÉȺÊḄËÌ+,ÍᣚÈÏᙠ¶ÈÐÑ+,5000ᓟxᙠÉÈÐÑ+,3000ᓟxÒᵨR'ÊÈÏ&ÆÇrᨬ+,ÓA4250B3000C4000D3750ூᜩ᪆௃&'⚪)Ô⌕«ᓫÐᑁ(1ᓟx)Ḅ×ὑ᳛¶È1/5000,ÉÈ1/3000ᓫÐᑁ×ὑḄÄ\1/5000+1/3000=4/7500,ghR'ÈÚḄ×ὑÄÛ1+1=2,ᡠ,+,Ò2X/7500=3750ᓟx42.ᨵÜÇᯠᦪÞ³´'ᦪ·¸s'ᦪºា¶☢R'ᦪḄ\àᑮijᑏhâ᝞257,1459&Üᦪᨵ஺'Aஹ45,Bஹ60,C120,Dஹäᦪ

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>9+2=4543.ᨵᓫA10ᓫB125A!"ᨵB#$%&ᑣᐳᵨ*+,-.A.8B.9C.6D.10ூᜩ123᪆௃⚪7ᡃ9:ᩭ<⌕>?ᜧABCḄE⌕FGHI⚪7JKḄLMN᝞PᡃQᢥSTUḄᩭVអ᝿◤⌕*Z[\஺ᡠ^ᡃQᙠ`a⚪b^cdḄVeὃ%gheὃ,⚪7ijᑣḄᐳᵨ*+,ᡃQk⍝mᐰopᙠqr஺ᡠ^s▭um%&*+TᡃQᨬw⌕xḄyP஺z%&Ḅ{|`Aqr5ᑣ}~5/10=1/2ᒕ1/2SᑖpmVḄ஺mV1/2◤⌕*+\ᕖ12X1/2=6ᫀT644.ḄB423QḄBp᦮ᦪᔜ}஺ᑣBᨬḄᨬB-.A80B82C84D86ூᜩ123᪆௃⚪7⍝ᑖḄ⚪7“”⚪ᡃ⚪7&⚪ᜧA¡¢T£⚪ᩭ`஺⚪7⌕xᨬḄᨬB*+,¤5ḄBᔜ}஺¥T<¦B§Ḅ{|஺ᦪ1ᜧḄ¨ᦪ1Ḅ☠ª«᪵ᦪ1ḄG}®ᨬB஺"ᨵ¯$°ᯠᦪ²ᩩ´஺

58ᡃQ`5Ḅ¦B¶423᪷»¯$°ᯠᦪḄᱯ½423/5=À\ᦪ-Áᙳᦪ.=84Äᦪ3«hᡃQk⍝5°ᯠᦪḄÅᑡ82,83,84,85,86ᒕÈ.3ᑖÊᨬḄËᔲᑣQTG☢Ḅᦪ1BÎᡠ^3ÏÐᑖÊᨬBḄË®ὅÒÓÔ஺ᫀT82⌱B⚪jᨵ×21ᩏᑖ5ÚÛᑖÜḄ×ᦪ7ᔜ}ᑣᑖÜ×ᨬ*ḄÝ+ᑖÜ-.ᩏ×஺A.7B.8Cஹ9D.1045.ᨵ⚗%oᵬஹmஹçè%oéÛᜩêV஺ëìᑜᢥᵬஹmஹçîÅêVាðᵬᵨ᦮ᦪᜧaᡂò᝞PᢥmஹçஹᵬîÅêVóëìᑜ*ᵨ1/2aᡂò᝞PᢥçஹᵬஹmîÅêV¥óëìᑜ*ᵨ1/2ᜩaᡂ஺ôkᵬᓫõVᵨ10ᜩaᡂè%oéḄ%&ᦔ᳛ᔜ},«h⚗%oᵫᵬஹmஹçè®ᔠ&⌕*+ᜩ^aᡂ,A.7B.19/3C.209/40D.40/9ூᜧ123᪆௃ᡃQᐜ⚪7úûᡃQḄᩩ´ᑖü-1.ᵬmçᵬ᦮ᦪᜩ-ýᵬᦈÿ
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61kὑ=88+42+51=181ᑣmᵨT181X11=199150.ᔆ2007+3~2007+5-2007+7.2007+9~2007ḄoḄpqᦪT()Aஹ2Bஹ3Cஹ5Dஹ7ூᜩNOP᪆௃SvwxByzᜧe{|}ᡃkḄ2pᦪḄpqᦪT10Ḅ᎛S2pᦪNḄ1᜻ᦪḄpqᦪT10,1ḄᏔᦪḄpqᦪ1஺_6N_4+6=10ḄᏔᦪpqᦪ142566c6pqᦪT6G56.5ᐸpqᦪT4+6=10⚪ᡃᐜᑖ(1,9)(3,7)(5)᪷ᐸᦪT2007᜻ᦪ஺ᐸpqᦪT10+10+5=25ᑣᫀT⌱C51.ᵬ3¢3£¤pᐳP¦20⍝ᦪ§⚪,$©P¦ªᐸ«Ḅ12⍝⚪3$⍝⚪©ᨵP¦.¬ᨵP¦Ḅ⚪®¯⚪3¬ᨵ°P¦Ḅ⚪®«2⚪,:P¦Ḅ⚪®²᧕⚪3¯⚪´²᧕⚪B()⚪DAஹ6Bஹ5Cஹ4Dஹ3ூᜩ:ᙠᖛ¶P᪆௃¤⚪◤⌕ᔠᦻ¹ºᩭᳮPª3½º¾¿ÀÁḄhttp://bbs.qzzn.com/read-htm-tid-9818850.htmlÂ14⚪ᡃÃA⊤ů⚪3B⊤Å«᫏⚪Ç3T⊤ÅÈᓫ⚪\(1)_A+B+T=20(2)_A+2B+3T=12x3SpÊËÊᦻ¹º«ÌÍ⌕Î[ᳮPḄÏ(1)—(2)=A—T=4SgTᡃ⌕ÐḄ¯⚪´Èᓫ⚪\B¦4ÑÒ¿B©ySpÓÔὑª3ḄÕ஺ᙠ&Ö:ᵨS᪵ÓḄ᎛mw<஺×ØᐰªPÚÛÜᵨ_A+2B+3TSpÝÊḄ᎛3Sp⚪\ᡃᙠÂÞᑖgᨵyßà52.ᵬáᝣ⍸䢣°åáᝣᩭe®æ3ᜧeçèéᙶᙠpᙊìᵨ⚶஺äX$åáᝣ1îïᙶḄᭆ᳛TBᜧDA.1/15B.2/15C1/5D.4/15

62ூᜩNOP᪆௃Sp⚪\ᡃÌÍᐜñò•pôẠö÷øù᣸ᑡüý᣸ᑡḄþ஺ᡃö⍝üý᣸ᑡ᝞5pᡂ᣸ᨵP55=120,᝞5ᡂᙌᨵᕖᡃ᣸ᑡḄᱯᜐ"Ḅ#$%&'(஺✌+,-Ḅ஺ᡠ/0ᨵ1234ᑖ"6ᨵ,234஺ᡠ/7•9:;<᯿ᱥ஺?<@ᐰ᣸ᑡ஺ᡠ/5ᡂᙌP44=24BCD⚪F஺ᐜCI2JᝣLᐰ᣸ᑡMNP55=120OPᩩRḄSTUᡃᡃV/ᐜWDI2JᝣᣊYZ;3[\ᡂ]Ḅᐰ᣸ᑡP22=2"ᯠ_ᡃB2`2Jᝣabcᣚ34[&2*2*2=2A3ᡠ/OPSTḄᨵ2*8=16eᫀ16/120=2/1553.ghᨵi?jk⁐Ḅmᳫ"`o᥎qr"⌕tuᨵ10oᡠ᥎Ḅ'᪵Ḅ"w⌕᥎oA55B87C41D91ூᜧz{|᪆௃D⚪F•ᐺḄ“ᳮ”⚪FᑮᳮḄ⚪F"ᡃ✌ᐜ◤⌕\஺ᐸoḄᦪ஺D/_஺ᡃV/᪷⚪FḄᩩR2ab᩽▲ᓄᑖ஺\"⚪F¡ᡃi?jk⁐Ḅmᳫ¢£2mᳫ¤ᡂḄ?j¤ᔠ"Dh&ᢣ?jk⁐Ḅ§ᡂḄ¤ᔠ[\ᡃCᨵ¨¤ᔠ©ᕖ4k⁐Ḅ§MNᑖrST¨1
?jk⁐Ḅ¤ᔠUC4,2
=62
,jk⁐Ḅ¤ᔠUC4,1
=4ª«¬¨¤ᔠ©Ḅᦪ&6+4=10⌕Ḅ10oᡠ᥎Ḅ'᪵஺ᨬ¯ḄST&`¤ᔠ°᥎ᑮᨬᜧ▲±ᨬᜧ▲±&10—1=9ᡠ/eᫀ9x10+1=91⌱D54.³´-µi¶ᯠᦪḄ·1680,DiᦪḄ¸¨©Aஹ22Bஹ24Cஹ26Dஹ28

63ூᜩz{|᪆௃»⚪?┯Ḅ⚪F"½¾¿ÀÁᓫḄ⚪F஺ᨵ3஺Uᑖ|ÃÄ1680=2x2x2x5x6x7FᯠDiᦪ5,6,7,8¸;26஺D2¾¿ÀmḄᦪz〉ᔠ஺᝞ᦪz¿ÀᜧḄÆ஺ᑖ|ÃÄὑÈḄÉ஺Ê᜜i-µÌᯠᦪᐰᔠᦪḄST"[\ᑖ|ÃÄᩭ|λ⚪F&ÏÐÑÒ஺ÓUᦪzᱯឋDh¡ᜧÕᦪzÖ×ØÙU-µiÌᯠᦪḄÚ·ᦪḄÛ1ᦪzᭆÝᱯឋNḄÛ=(N+1)x(N-1)+1%&ßᦪḄÛ=DᦪḄràᦪzÚ·+1஺᪷DᡃV/1681áᦪzḄÛ=41ḄÛV/âãäåqᩭ஺᪷æçᱯឋ1680=40x42ᑣ'qᩭ42=6x740=5x8IU᣸◀᪷⌱⚗ᡃëìᨬmḄ22,ᨬᜧḄ28-µiÌᯠᦪ¸஺ᜧᭆᙠ419DᑁḄái-µÌᯠᦪ"ðñòò&qᩭ55.ᵬôõIᐳja÷øᩭ"ᙠÛᙳᑖḄÈ᎛"ᵬ¿õ3ᔴ"õ¿ô3ᔴ";üÛýþ"ᵬôᔜ
12000ᐗ஺ᑣᔴ()ᐗAஹ4000ᐗB,8000ᐗC,16000ᐗD,12000ᐗூᜧ᪆௃⚪Ḅ᯿ᱥ⌱$Ḅ%⚪஺&⚪'⊤☢*+,-ᵬ/0Ḅ12஺ᐸ45ὅ07ᙳᦪḄ12஺7ᙳᦪ:⚪'Ḅ᯿᪗<஺᝞⚪>ᡃ@A⍝ᵬ/1CD3ᔴᑣEᐳD3x2=6ᔴ஺7ᙳᑖ
3H஺ᑣH2ᔴ஺I1JᐜDL3ᔴḄMNᵬ/ᐸ4CO17ᙳᦪD1ᔴ஺P7QR஺HCSTᑖU7ᙳᦪ஺Vᙠᵬ/CDX1ᔴᑣHYLḄ12000ᐗ-1ᔴᱥḄZ஺⚪⌱D56.ᨵ8]^_ᐸ`ᨵ3]a_bcាᙠe5afL3]a_Ḅᭆ᳛()A3/28B1/8C1/7D3/56ூᜩ᪆௃

64⚪'ᡃ@ᐜ*8]^_j☢klm3na_ḄMNDonC(8,3)=56p*ាe5afᑮrlstḄ“ា”wxMNe5ayz-ᨬ|e3a_}fᑮ~☢4nMN-LV2a_ᡠC(4,2)=6nrlj◚nMN-~☢5aCᡂ_ᨵa_஺-zᒕ.Ḅ3Ca_஺ᑣe5abcាfᑮa_Ḅnᦪ6+1=7nᑣᭆ᳛7/56=1/857.ᚪᨵᜧஹ`ஹ5nộᐳ1060Oஹᢥ᯿z2Hộ3H2`ộ5H3ᜧộ஺`ᓤTᚪ஺ᡠᨵộC}ᵨᐝ஺%ᩭ⚶Ḅᨵ()HAஹ480Bஹ600Cஹ640Dஹ720ூᜩ᪆௃⚪'I12ᓫᡃ@ᐜᩭ¢£¤ẠḄ¦§§>᪷©ᚪz>2Hộ3H2`ộ5H3ᜧộᑣ⊤ª1Hᓰᵨ1/2ộ2/3`ộ3/5ᜧộ¬U•H◤⌕(1/2+2/3+3/5)=53/30ộ஺1060ộ`ᨵ1060+53/30=600°±-ᨵ600H§²>ᡃ@*2,3,5ḄᨬP³ᦪ30,ᡃ@*30H◤⌕30+2=15ộ30+3*2=20`ộ30+5X3=18ᜧộ஺ᑣ30HEᐳ◤⌕15+20+18=53ộ1060`ᨵDo53ộ-ᨵDo30H1060+53=20ᑣEHᦪ20'30=600H58—1._´ᖼ⏀ᵨ3·¸pᣚº1¸ᖼ⏀H»º10¸ᖼ⏀ᑣ¼ᨬD½ᑮ()¸ᖼ⏀¾A13B14C15D1658—2.5·¸ᣚ1¸¿ÀÁÂý161¸¿Àᐸ`ᨵÄᵨ½ᒕÅᩭḄ·¸ᣚḄ¼@Æo⌕»¿ÀDo¸¾ூᜩ᪆௃2⍝⚪'ÂÇÈÉ⚪஺58-1⍝⚪'ÊË3·¸mᣚ1¸ᖼ⏀஺j◤⌕ḄÌᙠ⏀¸IÍ1ḄMNÅη¸Ḅ°§஺3·¸=1¸⏀ᡃ@ÏV

65ᣚᩭḄ1¸⏀Ðᨵ⏀¸4▭Òᡃ@ÏV2·¸ᣚ¸⏀(ÓÔ¸Õ)Öᨬ×ḄØÙÐÓᶇkÛ·¸ᐰÝᐟᣚLmᡠᡃ@4▭Ò-*10·¸ᣚDo⏀¸j☢Ḅ⏀10/2=5¸ßᫀ-10+5=15p*58—2,ᡃ@ᐜA⍝Eᐳ½161¸஺A⍝·¸ᣚ⏀4·¸ᣚ1¸⏀஺ᎷâJᩭã»a¸⏀஺᪷©Òäåᳮᡃ@Uᑮa+a/(5-1)=161Ua=644/5=128.8jrlçèÌᙠÎ⏀¸Ḅ%⚪஺ᡠéᑮᦪÓêDoëìᡠßᫀ129ᡈὅîïᵨ“ðñòᖪ”Ḅ¦§ᡃ@A⍝5·¸ᣚ஺4▭ÒÂýᣵ161·¸Ḅ¿À஺ST°5·¸0ᣚᩭḄ1¸*õö-5+1=6¸Õ஺ᡃ@**161j☢ᨵDo161/6=26ñᦪ5(264-5)/6=5ñᦪ1(5+1)/6=14▭Ò-D½26+5+1=32¸Jᩭã»Ḅ-161-32=129¸÷59.ᵬ/2HIø`ᓤ12ùÆ1ùúR☢ûøz“eHᑮü|ᙠýe²H15ᑖú|ÓRHᩭ-þm஺”Ꮇâ¼@Cᔜ
Ḅᩭᑮ☢ᙢᑣ2☢Ḅ᳛ᨵᜧA.1/16;B.1/4;C.3/8;D.ὅᙳூᜩ!"#$᪆௃ᡃᐜ)*+,-:

66ᡃ01ᭆ᳛3⚪5ᣚ789,-☢:3⚪.X.yᙶ᪗⊤?2+@AḄB஺DEᑖ᪀ᡂḄIJᐸLMḄ☢:N+☢:ᡃO"+ᓫQ)R15ᑖSTU᦮+☢:IJ4x4=16+ᓫQ஺ᐸDLMḄEᑖIJDWḼḄEᑖ☢:J1*1+᪷#2*3᪷#2=1+6=7ᡠᭆ᳛J7/1660.150+[\ᑖᡂL]Ḅ3ᚮ_ᚮ`a1+ᨵabᑖcA200B208C216D243ூᜩ!"#$᪆௃*+⚪dᡃ0ᐜ1ᐸ)RefcᩭẆhTUIJC49i2=1176jkefcJ┐Ḅ]m]ᑖnḄopᩭqḄ*rJL]Ḅᚮ஺ᡠ89stuᡃᢥ᯿+ᚮᔜL]7᪗y᝞\+ᔜL]TUefc{ᑮḄ|\IJP33=6ᑭ~J*+⚪dr☢efc{ᑮḄopᨵJ6bḄ☢ᡃI*J6bḄopẆh஺O*opឮtᑮ6bjk7ᑖmᡠḄ6bopJ•᪵Ḅᡠ◀6IJᡃ◤⌕Ḅ|\1.1,482,2,46,3,3,444,4,42

6750/2=25ᡠᑮ24,24,2*᪵Ḅopa9uP33-P33/P22=3ᡠ"ᐳa9u24x3=72ᢥ᯿᪗yopᩭ)J1176+72=1248bᡠᡃ_m◤⌕ᡷ◀6bop71b7ᑖmᡠᫀJ1248/P33=208b"100⌕ᑮ᪥33ᓟᜐḄa¢£¤¥.¦ᨵ"§¨25Ḅ©ª7u«ᐰ®¯ᙢᑮ°dḄᙢ±²³i´µ¶ªL|ᔠḄ¸c.¹º´»¼7_½5ᓟ©ª»¼7_½55ᓟ.⌕¾¿ᐰ®¯ᑮ°dḄᙢᡠ◤ᨬaJ$cA..........P.....R....C....S....T.....Q..........BAQPTRSC=AQ+QP+PT+TR+RS+SC=(55/5)*QB=11QB=11ÁÂᐳὃ⇋ᐰÅḄ6Æᢥ⚪ÇÈS1+(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=11Á11+(1/3+2)+(1/3+2/3+2*2/3)+(2/3+1+2*1/3)=6SᡠÂÈÅS=3Áᡠ©ªÉ2ÁÉ1Á22/55+11/5=13/5ÊᨵË+ÌḄ½⌕ᑮa¢£ÍΤ¥~¦ᨵ"§ªÏ〈஺Ñ"ÌḄᙶªÒ᪥ÓÔḄ]ÑÊÌÕִתᑮ⌶DÙᜐÚÑ"̪´ªÛBÜÝÏÑÊ̪ÞÏÕßa¢£ᨬàË+ÌḄ]ᑮ°a¢£஺¹º´»¼7_½4ár¨ª»_½40árâªJ50ár/½3Ñ"ÌḄ´uᐰÅḄäᑖåäA.1/7B.1/6C.3/4D.2/5$᪆A.......P........Q........B(40/5)QB

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69Ïᑣᐳᨵ᪛Ä()A.8500ÏB.12500ÏC.12596ÏD.13000Ï45"S,᪛Ḅ᪛ᩈ"X,᪷j⚪Òᑡy[(3S+6000)/4+1]*4=x+2754[(3S+6000)/5+1]*4=x-396᪷jyÓÔSRSoᑮX=13000•Õ!Öᵬᙢ×·.ᙢ᝞aT20%,RSÙ>89TUMÚ8ᑮ<஺᝞aSÙÛ120ᓟÌYÝÞÈTß25%,ᑣRTU40ᑖàᑮ஺/0ᵬஹ.@ᙢ½4_eᓟÌfAஹ240Bஹ270Cஹ250Dஹ300È"x,45"S,᪷j@kâãRᑡyS/(6x/5)=S/x-1;(1)120/x+(S-120)/(5x/4)=S/x-2/3;(2)ᵫMos/x=6(3)ä2ox=45äᐭ3os=270ᜩMᐸæ⚪çᨚ8ᖽ⊡ᐙv