重庆市江津2021-2022学年中考数学模拟试卷（一模）含解析版

《重庆市江津2021-2022学年中考数学模拟试卷（一模）含解析版》由会员上传分享，免费在线阅读，更多相关内容在教育资源-天天文库。

ூ
⚗ᡭẚ௃2021-2022ὃᦪᔁᔁ᱐ஹ⌱ᜧ⚪ᐳ12⚪⚪4ᑖᐳ48ᑖ1.ᑡᔜᦪᨬ!Ḅᦪ#A.-5B.-1C.0D.12.ᑡ$᪗&#'()$*+#()$*Ḅ#FD.3.ᑡ,-./Ḅ#)A.5x-3x=2B.(x-I)2=x-1C.
-2^3=-6/D.x64-x2=x44.ᑡ0⚪┯3Ḅ#)A.45#6B.Ga+b>0,ᑣa>0,b>0C.89ᚖ4;ᑖ8=Ḅ>ᑮ89@AḄBCDED.J*Ḅ(K8LD;ᑖ5.AABCSMEF,M@NK*(O8ḄPQ4R3,ᑣSTḄ☢VWPQ()A.4R3B.8R6C.16R9D.12R96.YZ"+J7Ḅ]OᙠA.4_5W`B.3_4W`C.2_3W`D.6_7W`7.bᦪ)=—~“ghijxḄk]m#()A.x>4B.-2fix^4C.x>-2MxW4D.xW4

18.oᙢqr8ᨴ10tu8ᨴ19twx10ᜩz{|Z᝞⊤:z{(°C)38394041ᜩᦪ3214ᑣᦪḄ;ᙳᦪ_ᦪᑖQA.40,41B.41,40C.39.5,41D.39.6,419.᝞$g.ABCḄQ6,0O#SḄᑁᑗgᑣ$ᨩᑖḄ☢VQlr-lr-A.36-ᐔB.2TI-2C.3y/3~—D.4-2ᐔ10.ᑡ$*#ᵫ¢£ᜧ!Ḅ!ᙊᙌᢥ¨©ªᡂḄgᐸজ¯$*ᐳᨵ1¯²³!ᙊᙌgঝ¯$*ᐳᨵ6¯²³!ᙊᙌgঞ¯$*ᐳᨵ13¯²³!ᙊᙌg…gᢥ·©ª▰ᑡgᑣঢ¯$*²³!ᙊᙌḄ¯ᦪQ.•••••oooOOOOO...OOOOOO»oooজh—A.78B.76C.63D.6111.᝞$gᙠAᜐ¾¿CÀÁÂKNCAD=31°,MAஹBḄËÅBCAE=800ÍgÎᚁABḄᚁÅ/=1:2,Ç⍝BCḄᚁÅ2=2R-3,CD1ADÏD,BF±CDÏF,ᑣÇ⍝BCḄᜧÉ#(ÒὃᦪRtan31°Ö0.cos310Ö0.9,᝞p3.6)

2cA.1400B.1440C.1500D.154012.ᙠ-3ஹ-2ஹ-1ஹ0ஹ1ஹ2Û¯ᦪgÜÝkÞ¯ᦪßQa,àáâÁᐵÏxᐗåæçËx2-2ax+5=0éêgMâÁᐵÏxḄçË*-3=ìᨵ᦮ᦪêḄᑗaX—11—XḄ]W_QA2B.1C.0D.-1ஹ⚪ᜧ⚪ᐳ6⚪⚪4ᑖ.ᐳ24ᑖ13.ᵯïðñḄòZἠôõᑮᜧÉ1080000000ᐗgᦪ1080000000ᵨ÷ßᦪø⊤ùQ________.14.712+2sin3O--E-2°=.15.᝞$güAB#஺OḄ45g>C,Dᙠ஺O=gZABC=35°,ᑣND=.AR16.ᙠ
þÿᜧᝄḄḄ10⌱ᡂ᝞ᡠᑣ10⌱ᡂḄᦪ.

3AM17.ᵬஹ!"#ᙠ%&⍝()*+,ஹ*+,ஹ*-ᔣᑖ012*Ḅ34ᒴ3671509:;ᐜᑮ+,Ḅ#>ᙢ@ABCᵬᐜDE30GH!IDEᙠ67Ḅ᦮KLMᵬஹ!"#ḄNOy9;:QᵬDEḄRSX9G:UVḄᐵX᝞ᡠᑣ!ᑮ+,YᵬN+,ḄNO;஺k18.᝞\C,Aᙠ^_`ᦪy=—9x<0:)eRtZXABC,,DmnACḄx,oDBpqrsytu,E,waBCEḄ☢z{12,ᑣkḄ~{.ஹ⚪9ᜧ⚪ᐳ2K⚪⚪8ᑖᐳ16ᑖ:19.᝞%&஻஻b,BCᑖNAB஺DE±BC,wNl=70஺N2Ḅ4ᦪ.20.ᡃMᦋ☩HḄஹᔠesᨵ¡ᜧ¢7£ὁ¥{¦¦ᡠ

4ᦟ¨©ᐜªஹᔠesḄᐹ¬®¯¨°ᑖᐜª¢¦{±²KᨴḄ´µ¶·p¸¶·¹ºᑖᡂ»¼Aᱯ0¾¿B¾¿CÀÁ¿DÂÿp¸¶·¹ºÄᑴᡂ1Æ"Ç2ÈÉḄÊË᪷ÍÆᑡᡂ(1)Ѷ·£ὁ¥Òᐳ¶·¦Ò*ÓᐸC¼᝕ªᨵÒD¼ᵱªᨵÒ¿(2)¸)☢ḄᩩØ⊡ᐙÈÉ¿(3){¦ᐳ*¢7£ὁ¥ÛÜݶ·ḄA¼ÞD¼ᐜªᑖ0⌱ßÒ*Ó¢“ÒáÒ”ãäÊᵨᑡ⊤çᡈé᪛ØḄ-çDᡠ⌱"*Óា¾Òᵱ*ÓÞÒ᝕*ÓḄᭆ᳛.»ஹ⚪(ᜧ⚪ᐳ5⚪⚪10ᑖᐳ50ᑖ)21.î:22(2x—9x~—4x+4(1)x(x+2y)-(x-y)~+y~¿(2)------+3+---------Vx+3)-x-322.᝞`ᦪy=ax-2(aM)ḄöQ^_`ᦪy=-(k^O)ḄösuAஹB",ùXQxtஹytᑖ0su,CஹD.\Ctan/A0C=g,A0=V10.(1)K`ᦪÞ^_`ᦪ᪆þ;(2)FDᐵxḄAABFḄ☢.

523.Ḅ'‘!ᬀ#$”ᐸᙢᳮ)᎛ᩩ,-.ᡠ0!ᬀ1✏ᕡ456789:;<ᐗ>?@᳛BCDḄEᕡFG6HIJKLM9:NOḄᓄJQᧇ.STU᩟᩽ᦋ☩Z᩟0[\᪀^IZN_?᩟`a9bcdefgh὏ᙢ1200jᐰlᵨ:nᜧpq!ᬀrst☘!ᬀvwF:!ᬀxyᜧpq!ᬀzj{ᑭ1000ᐗst☘!ᬀzj{ᑭ1200ᐗ.(1)ST}᩟:n1200j!ᬀ~{ᑭ128ᐗᑣ}᩟:nᜧp!ᬀḄ☢ᨬ99j(2)T᩟ᢝ(1)ᜧpq!ᬀḄᨬ9☢:nᜧpq!ᬀ6zjḄ{ᑭST^I1a%ᵫst☘!ᬀzj{ᑭ9᩟ᑭᵨgh὏ᙢst☘!ᬀḄ:n☢ᙠ;STᨬ:n☢ḄẠx᡽ᜧ2a%,zjᑭ^Iga%,᪵T!ᬀḄᑭᑮ208ᐗaḄ.24.᝞1,ᙠ¡ABCDAC¢£¤¥CD~ECE=CA,¦§AE.FAB(1)DE=1,CF=2xCDḄ¨;(2)᝞2,G£ªAEḄ¦§BG«ACH,NBHC+NABG=60஺®AF+CE=GAC.25.ᡃ°±⍝³´µw¶᦮ᦪnlK¹º»᪵Ḅᑖ½®n=pxq(p,q¶᦮ᦪ6pWq),ᙠnḄµᑗ:ᑖ½᝞¿p,qvÀᦪ#ÁḄᨬÂᡃ°ÃpxqnḄᑖ½.5Ä

6ŮFn
=~.qÆ᝞12K¹ᑖ½ᡂ1x12,2x6ᡈ3x4,ᵫ12-1>6-2>4-3,ᡠ¹3x412Ḅᑖ½ᡠ3¹F12
=µ.4Ê1
᝞¿µw¶᦮ᦪmË᜜µw¶᦮ᦪnḄÍbᡃ°¶᦮ᦪmÎᐰÍbᦪ.®³´µwÎᐰÍbᦪm,ᨵFm
=1ÐÊ2
᝞¿µwvѶ᦮ᦪt,t=10x+yÊl

7wூᫀ௃cூ᪆௃ூ"௃⌱⚗A,$⌱⚗B,,$2⌱⚗C,,32⌱⚗D,,$.ᦑ⌱C.3.ᑡ&'()Ḅ()A.5x-3x=2B.(x=x-1C.(-2/)=-6xD.x6+x2=x4ூᫀ௃Dூ᪆௃ூ"௃ᑖ᪆᪷=ᔠ?@A⚗ஹCᐰEFGHஹIḄJFஹ@KᦪLḄ◀N⌲⚗P'ᑖ᪆ᓽR."A.5x-3x=2%,ᦑ$()2B.(x-l)2=N-2x+l,ᦑ$()2C.(-2X2ᡝ=-8A6,ᦑ$()2D.A6-4-X2=X4,ᦑ()2ᦑ⌱D.TUV⚪ὃYZ᦮HḄᨵᐵ&'^_`aᔜc&'NᑣV⚪Ḅᐵe.4.ᑡf⚪┯hḄ()A.ijkB.la+b>0,ᑣa>0,b>0C.mnᚖiEᑖmpḄTᑮmnrsḄtuvwD.xḄymzvEᑖூᫀ௃B

8ூ᪆௃ூ"௃ᑖ᪆᪷=k{|ᨵᳮᦪḄ~NmnᚖiEᑖmḄឋxḄឋ⌲⚗ᑖ᪆ᓽR."A.ijk()2B.la=5,8=-2,ᑣa+b>0,஺>0,6<0,ᦑ┯h;C.mnᚖiEᑖmpḄTᑮmnrsḄtuvw()2D.xḄymzvEᑖ()2ᦑ⌱B.TU^_`akḄ{|▊f⚪Ꮇf⚪mnᚖiEᑖmḄឋxḄឋV⚪Ḅᐵe.5.AABCS^DEF,rymḄ43,ᑣḄ☢IA.43B.86C.169D.129ூᫀ௃Cூ᪆௃ூ"௃ᑖ᪆᪷=AyḄឋAy☢IḄwmḄEF.":ABCsrymḄ43,¡☢I43¢=16:9.ᦑ⌱C.TUV⚪ὃYZAyḄឋ᝞¤r¥yA¦§¨Ḅ©ḄmḄyEᑖmḄᕜ«Ḅ¬wA2☢IḄwAḄEF.6.P+Ḅ®ᙠA.4°5±B.3°4±C.2°3±D.6°7±ூᫀ௃Aூ᪆௃ூ"௃ᑖ᪆᪷='³EF᪷Ḅ´|᝞¤µ¥ᦪxḄEFw஺ᓽ¦§¶¥ᦪx·¸஺Ḅ'³EF᪷¹º»ᑖ᪆ᓽR.":22<7<322<¼<3,**V4-2

94<4+¼<5.ᦑ⌱A.TUV⚪ὃYZᙠᳮᦪḄ'^_`a?ᳮ'³EF᪷Ḅ´|V⚪Ḅᐵe.7.¿ᦪZ=32ÀÁÂxḄîÅ•x-4A.x>4B.xN-2x,4C.x>-2xH4D.xH4ூᫀ௃Bூ᪆௃ூ"௃Æ⚪ᑖ᪆᪷=ÇÈFᦪᜧw0,ᑖÉ$w0,ᑡHP'ᓽRx+220X-4*0,Ê-2XH4.ᦑ⌱B.ὃT¿ᦪÀÁÂḄîÅ8.ËᙢÍÎÏ8ᨴ10ÑÒ8ᨴ19ÑÓÔ10ᜩḄÖ×ØP᝞⊤:Ö×(°C)38394041ᜩᦪ3214ᑣ¶Ûᦪ=ḄEᙳᦪ°ÝᦪᑖÞA.40,41B.41,40C.39.5,41D.39.6,41ூᫀ௃Dூ᪆௃ூ"௃ᑖ᪆᪷=~ᩗEᙳᦪḄP'GH°ÝᦪḄ{|à~ᩗEᙳᦪl஻¥ᦪx.w.++...+Xvv,Xl,X2,X3,XnḄᩗᑖÞWl,W2,W3,Wn,ᑣ·¸¶"¥ᦪᔩ+ä2+…+æḄ~ᩗEᙳᦪ.µÛᦪ=çèéᦪᨬêḄᦪ=·¸Ýᦪ."Eᙳᦪ=38x3+39x2+40x1+41x4
+10=39.6࠷;•••41çèZ4éçèḄéᦪᨬê¡Ýᦪ41࠷;ᦑᫀD.

10TUV⚪ὃYZ~ᩗEᙳᦪ°ÝᦪḄàN^_`a~ᩗEᙳᦪḄP'GH°ÝᦪḄ{|V⚪Ḅᐵe.9.᝞ìí(ABCḄ¨«6,00ḄᑁᑗðᑣᨩòóᑖḄ☢IBC…lᐔr-A.36-ôB.2n-273C.373~~D.4ᨴ-2ᐔூᫀ௃Aூ᪆௃ூ"௃ᑖ᪆õöA8TDiyAOQ,àçODḄ«ᯠý᪷=S▢ò=S“BO-SᡧAO8P'ᓽR."õöA8TDASC•.♦ABC(y஺஺Ḅᑁᑗᙊ\aOAD=30°,AD=LAB='X6=304OB=120°.22□tanOAD-,AD•••O£»=tan30°x3=GSWJBJ=SAAB஺—SᡧAO81
120ú"GY=-x6xV3------------~2360=3>/3—7tTUV⚪ὃYZᑁᑗᙊḄឋw¨yḄឋiyy,ᡧḄ☢IGH°yḄ

11☢IGH,iy4஺஺àç஺஺Ḅ«V⚪Ḅᐵe.10.ᑡ¬ᵫÿᜧḄᙊᙌᢥᡂḄᐸজᐳᨵ1ᙊᙌঝᐳᨵ6ᙊᙌঞᐳᨵ13ᙊᙌ…ᢥ▰ᑡᑣঢᙊᙌḄᦪ%('■•••••••OooOOOOO...OOOOOOজoooঝঞA.78B.76C.63D.61ூ)ᫀ௃Dூ-᪆௃ூ/-௃ᑖ᪆1ᵫ34ᙊᙌᦪ4nᙊᙌᦪ%4n-(n+2)+n(n-1),=>?)ᫀ./-1•••জᙊᙌᦪ%14x1-3+1x0=1;ঝᙊᙌᦪ%14x2-4+2xl=6Gঞᙊᙌᦪ%14x3-5+3x2=13G♦,♦"ᙊᙌᦪ%14஻-(n+2)+n(n-1)GঢᙊᙌḄᦪ%14x7-9+7x6=61Gᦑ⌱D.OP1Q⚪ὃTUV-WᓄY1ᐜ[\]^_`ᑖabUWᓄcᢥ᯿efWᓄḄᑖ᪆\ᑮᔜ`ᑖḄWᓄijkᑭᵨn-.op⌕rstuஹwὃ⇋ᗐᵨὶ{ᩭᜐᳮYᡂ.11.᝞ᙠAᜐtuC?/CAD=31°,AஹBḄAE=800ᚁABḄᚁG=1:2,⍝BCḄᚁ2=2:3,CD1ADD,BFJLCDF,ᑣ⍝BCḄᜧc()ὃᦪ=1tan31°¢0.cos31"¢0.9,¦§3.6'

12cC.1500D.1540ூ)ᫀ௃Bூ-᪆௃ூ/-௃ᑖ᪆1᪷=⚪©>ª«C/¬ᑖIJBF=3®ᯠi᪷=┦±²ᦪ³´µ>ªn?xḄ³¶µ>ªn?⍝3CḄ./-1,,,4BḄᚁ=1-2,.BE2,,.,AE=8஺஺,BE-4OO,.FD-4OO.•,♦⍝8CḄᚁi=2-3,,••«஺/¬2yᑣ3¸=3x,CDn=,t^H.3J------,AD2X+400x0.6,800+3x-?x=400,¹º»ᔆ400c½ᑖ¾¿Ḅ-,ABF=1200,CF=800,y/BF2+CF2=400V13y"Qᦑ⌱8OP1Q⚪ὃT-j±-ᚁᚁᡂ-⚪ḄᐵÁcÂÃ⚪©\]ᡠnᡂ◤nḄCDᩩÇ,᪷=È—ᑡ¿n]BFஹCFḄ.AD

1312.ᙠ-3ஹ-2ஹ-1ஹ0ஹ1ஹ2ÊᦪËÌÍ]ᦪÎ%a,ÏfÐ?ᐵxḄᐗ¬Ò¿x2-2ax+5=0Ó-Ð?ᐵxḄ¿ᨵ᦮ᦪ-Ḅᑗax-\\-xḄ³Ö×%()A.28.1C.0P.-1ூ)ᫀ௃Aூ-᪆௃ூᑖ᪆௃᪷=¿Ó->?Ù<0ᓽ*<5,-ᑖ¾¿>?X=Þ±,àᙠ6ᦪ\]á2஻+4஻+4â஺2<5——%᦮ᦪஹ——4Ḅᦪᓽ>?)ᫀ.22ூ/-௃-1•••ᐗ¬Ò¿9-2ã+5=஺Ó-/.Ù=(-2a)2-4xixS=4a2-2.O

14⌕ᦪᡂ஺ᦪ஻Ḅ
ᦪḄᦪ.ᦪ
ு1஻ᦪᦪḄ
<1஻ᦪ.!1080000000=1.08X109.ᦑ#ᫀ%1.08x1('(!)⚪ὃ,-./ᦪ0Ḅ⊤230.-./ᦪ0Ḅ⊤234%axlO”Ḅ34ᐸ6l"Ḅ
.14.V12+2sin30°-(^-2)°=_____.ூ#ᫀ௃2Gூ᪆௃ூ௃ᑖ᪆!D⚪E>FᢣᦪHஹ᦮ᦪᢣᦪJஹKL᪷4ᓄOPQὃ.┐STQὃᑖUVWXYᯠ[᪷\]ᦪḄ^Y0ᑣ`aXYbc.!V12+2sin30°-(^r-2)0=273+2-^-1—2-\/3-(!D⚪ὃ,]ᦪḄ^Ydeᔜᙢ6ὃ⚪6hiḄXY⚪j.ᜐᳮ)m᪗⚪Ḅᐵ9opqr᦮ᦪᢣᦪsஹFᢣᦪsஹKL᪷4ὃḄ^Y.15.᝞uvwAB஺஺ḄxyC,Dᙠ00{NABC=35஺ᑣNS_____.Rூ#ᫀ௃55஺##55ூ᪆௃ூᑖ᪆௃ᵫᙊᕜ<ᳮḄw%*%',ᵫAB%xyNACB=90஺ᙠABC6ᑭᵨᐵ`/Aᓽ.ூ௃!TAB%xyZACB=90°,

15ZA=900-ZABC=90°-35°=55°,ᵫᙊᕜ<ᳮwZD=ZA=55°,ᦑ#ᫀ%55°.ூ(௃D⚪ὃ,ᙊᕜ<ᳮxPḄᑨ<ឋ.ᐵ9ᑭᵨᙊḄxyᑨxPᑭᵨᐵ`/A,ᑭᵨᙊᕜ<ᳮḄ`ND16.ᙠ¡¢£¤ᜧᝄ§Ḅ¨§6©ª«§Ḅ10⌱¤ᡂ¯°X᝞uᡠ2ᑣ²10⌱¤ᡂ¯Ḅ6ᦪ.ூ
᪆௃ூᑖ᪆௃᪷\6ᦪḄ<³´µᨬ·ᜮḄ·Qᦪ¹`µº»Ḅ¼ᙳᦪᓽ.ூ௃᪷\u²10Qᐜ¿Ḅᑖᦪ%!7,7.5,8,8,8.5,8.5,9,9,9,9.5,O«IQ«ᑣ6ᦪ%K——-=8.5.2ூ(௃D⚪ὃ,`6ᦪ⚪Ḅᐵ9qr`6ᦪḄ30.17.ᵬஹË·ÌᙠxÍ⍝Ï{ÐÑஹÐÑஹÐ3ᔣᑖU=ÓÐḄÔᒴÔÖ×1500ØᐜᑮÑḄÌᙢÚÛÜwᵬᐜµÝ3Þßà[ËáµÝᙠÖ×Ḅ᦮Qâã6ᵬஹË·ÌḄäåyÞØßᵬµÝḄçèXÞàß'êḄᐵ᝞uᡠ2ᑣËᑮÑᵬäÑḄäåØ,ூ
᪆௃ூ௃ë⚪᪆!᪷\⚪ìaᵬḄÔ%!75+30=2.5Ø/à,îËḄÔ%mØ/à,ᑣÞm-2.5ßxÞ180-30ß=75,

16a!ª=3Ø/àᑣËḄÔ%3Ø/àËᑮÑᡠᵨḄçè%!᯿=500Þàß3)ᵬòḄÏã!2.5xÞ500+30ß=1325ÞØßᵬäÑḄäå1500-1325=175ÞØß.ூ(௃D⚪ὃ,óᦪḄ^ᵨôõ᪗⚪öÛᳮ÷aᑮËᐜᑮøÑᯠ[`µᵬஹË·ÌᡠᵨḄçè⚪Ḅᐵ9.k18.᝞uÜwAᙠ«ùóᦪy=-Þx<0ß{ûRtAABC,
DACḄX
DBy
E,ABCEḄ☢12,ᑣkḄ.ூᫀ௃24ூ$᪆௃ூ&$௃ᑖ᪆()⚪ὃ,-./01ᦪ3ᦪ4Ḅ456789ABCSAEO-᪷;<=/>?8480ḄBC>?DA08Ḅ☢.&$(•••D8CEḄ☢121G.—BC0E422:.BC0E=24•,•
஺ACḄ
:.BD;DC,.NDBC=/DCB=NEBO,)/EOB=/ABC,•••EOBsAABC,.BCOB-ABOE,

17.ABOB=BCOE,.k=ABBO=BCOE=2.4,ᦑᫀ24.
J()⚪ὃ,-./01ᦪ3ᦪ4Ḅ4567ᜐᳮ)⚪ḄᐵN89EOBS^ABC,OPljAB()B=BCOE.Qஹ$⚪()ᜧ⚪ᐳ2VW⚪XW⚪8ᑖᐳ16ᑖ)19.᝞[\]a஻68c_ᑖDE1BC,/1=70஺>(N2Ḅ`ᦪ.ூᫀ௃55°ூ$᪆௃ூᑖ᪆௃᪷;_a]ḄឋcOᑮNl=NA8D=70஺ᵫf_ᑖ]Ḅg7OᑮNE8O=!NA8£>=35஺᪷;QfhḄᑁfjᓽlOᑮmn.2ூ&$௃$(•••\]஺஻6,o.N1=NAB£)=7O°,_ᑖ/ABD,/EBD=—ZABZ>35°,2VDElfiC,NBED=90஺.Z2=900-ZEBD=55°.ூ
J௃)⚪ὃ,-_a]Ḅឋcf_ᑖ]Ḅg7\fQfhḄpV┦frstuvw_a]Ḅឋc$⚪ḄᐵN.20.ᡃyza{|}ᦋ☩Ḅஹᔠᨵᜧὁ--$ᡠᦟᐜஹᔠḄᐹ)ᑖᐜa-VᨴḄ¡¢£,¤£,m¥ᑖᡂ§

18p³´µ¶Ḅ·¸[¹º᪷;·¸[²ᑡᡂ¼:(1))¾£,ὁ¿ᐳ£,-¿ÀÁÂᐸC<᝕ᨵ¿ÀD<ᵱᨵ¿Ào(2)¤Æ☢Ḅᩩh·¸[⊡ᐙµ¶o(3)-ᐳÁὁËBÌ£,ḄA?ᡠ⌱pÏÁÂាª¿ÏᵱÁÂj¿Ï᝕ÁÂḄᭆ᳛.ூᫀ௃((1)2(),2,1((2)Þ$᪆.(3)-,⊤àÞ$᪆.2ூ$᪆௃ூᑖ᪆௃(1)ᵫᡧh·¸[lâᱯ©ªḄᓰäᦪḄ15%,çᦪᨵᩩh[lâ3çᡠ±£,Ḅ᪵)éê(3—15%,ᓽlO?C<᝕jD<ᵱçᦪo(2)᪷;(1)ᡠ>ᦪ;O?ᩩh[Ḅì`ᓽlo(3)᪷;Ì£,ḄA

19(3)᪷;ὁËBÌ£,ḄA)—(x—y)-+y2oফ------x+3h-------—Ix+3)-x-3xூᫀ௃(1)4"o(2)x—2ூ$᪆௃ூ&$௃ᑖ᪆((1)᪷;ᓫ⚗
⚗Ḅx(x+2y),᪷ᐰ(X-y)2,ᯠᔠ⚗(2)ᐜ"#$%&ᑖ("ᑖ)ஹᑖ+ᑖ,-(."◀0ᓄ2(ᯠ"ᑖ)ஹᑖ+-3ᑖᓄ4.6,781:;8;+2y:-8x-y:-+V

20=x24-2xy-x2+2xy-y2+y2=4xy2x-9x2-4x+4(2)—X+3-rx+3—x—32x-9-f+9(x-2)2x+3-(x+3)-x(x-2)-(x+3)x+3(x-2)2xx—2=>7?⚪ὃBC᦮EᑖḄFᔠG(HIJK᦮ஹᑖFᔠGḄGLMNGᑣP,Q?⚪ḄᐵS.22.᝞U(Vᦪy=ax-2(/0)ḄU\
]^_Vᦪy=-(k^O)ḄU\cdAஹBf=(gX
xhஹyhᑖicd=CஹD.lmtan/A0C=g,A0=JI6.(1)uvwVᦪE]^_VᦪḄ,᪆(2)y=FP=DᐵdxhḄ{|=(uAABFḄ☢~.ூ,᪆௃ூ6,௃ᑖ᪆7(2)ᐜ=4hdEஹ᪀⌼RtxAOE,.᪷,(3

2142(u4(OE=3,ᓽ4(-3,1),Gᵨᦪ(uVᦪE]^_VᦪḄ,᪆(2)ᐜ=P=஺ᐵdxhḄ{|=(uF(0,2),.᪷,u8(1,-3),᪷A6/7Ḅ☢~=A3/☢~+3஺☢~(ᓽ.6,7(1)=AAE_LxhdE,■:tanZAOC=g,AO=-^/10(ARtAAOEAE=1,0E=3,•,,=Aᙠ§¨\▲(/.A(-3,1),•,,]^_Vᦪy=ª(kWO)ḄU\=A,xAk=-3X1=-3,3,••]^_VᦪḄ,᪆2—-,x¨•Vᦪy=ax-2(aWO)U\=A,1--3a-2,,a=-LVᦪḄ,᪆2y=-x-2(2)VᦪḄ,᪆y=-x-2(®x=0,ᑣy=-2,AD(0,-2),•,•=FP=DᐵdxhḄ{|=(.F(0,2),ADF=2+2=4,

22y=-x-2x=-3x=l,3((ᡈ(>=°y=iy=-3'xAB(1,-3),VAADF☢~=1XDFXCE=6,2BDF☢~=LXDFX|XB|=2,2.'.ABFḄ☢~=4ADF☢~+4BDF☢~=6+2=8.=>7?⚪ὃBC┦¶·¶VᦪḄᭆ¹(ᦪuVᦪᐵ(]^_Vᦪ
Vᦪc=ᡂ»(ᜐᳮᡂ»ḄᐵSPGᵨᦪuVᦪE]^_VᦪḄ,᪆.23.¾¿ÀÁÂÃPÄḄ“ÆᬀÈÉ”(ᐸᙢᳮÍ᎛ᩩÐÑÒ(ᡠÔÆᬀÕ✏ᕡØ(gÙÚÛÜÝᐗß(à᳛â(ãäPḄåᕡæ(gçè(éêÛëìḄᓄíᧇ.ïðÁÂñ᩟~᩽ᦋ☩ö᩟Ô÷ø᪀(ùèöëú(᩟ûüýþÿ
὏ᙢ1200
ᐰᵨᜧᬀ☘ᬀ
ᬀ
ᜧᬀᑭ1000ᐗ
☘ᬀᑭ1200ᐗ.$1%&'(᩟Ḅ1200ᬀ
+,ᑭ128.ᐗ
ᑣ(᩟ᜧᬀḄ☢1ᨬ343,5$2%6'᩟78ᢝ$1%:ᜧᬀḄᨬ3☢1ᜧᬀ
;Ḅᑭ<&'=>|a%ᵫ☘ᬀᑭD3
᩟7ᑭᵨEF὏ᙢ
G☘ᬀḄ☢1
ᙠ;&'ᨬ,☢1ḄIẠ᡽ᜧ2a%,MNᑭOP=>
a%,Q᪵6'ᬀḄSᑭOTᑮ2V208.ᐗ
XaḄY.ூ[ᫀ௃$1%(᩟ᜧᬀḄ☢1ᨬ34800^$2%50ூ`᪆௃ூb`௃ᑖ᪆dQ%f(᩟ᜧᬀḄ☢14x,ᑣ☘ᬀḄ☢14$1200-x%
᪷j&'(᩟+,ᑭ128.ᐗklmnoᐵqdᜧᬀḄᑭO+☘ᬀḄᑭO21280000ᐗ
ᑡmntX`^$2%᪷j6'ᬀḄSᑭOTᑮV208.ᐗ
klnoᐵqdᜧᬀḄᑭO+☘ᬀḄᑭO=2080000ᐗ
ᑡvwX`^b`d$1%f(᩟ᜧᬀḄ☢14X
ᑣ☘ᬀḄ☢14$1200-X%

23
᪷j⚪zl:1000%+1200(1200-%)>1280000`ldx<800[d(᩟ᜧᬀḄ☢1ᨬ34800.(2)᪷j⚪zl:800x100011+ga%)+400(1+2a%).120011+ga%)=2080000fa%=f,ᑣvwkᓄ4d6r2+17r-10=0`ld=-="(mᔠ⚪z
&)23ᡠ«%=-2ᡠa=50.d⚪ὃVᐗmntḄᳮᵨᐗvwḄᳮᵨ
`⚪Ḅᐵ⚪z
¡:¢£ᑡmntvwᡠ◤Ḅmnoᐵqnoᐵq.24.᝞¦I,ᙠ¨©ABCD:
AC4®¯
°±CD+EGCE=CA,³´AE.F4ABḄ
;BF=DE,³´FC.(1)¶DE=1,CF=2
LXCDḄ¸^(2)᝞¦2,G4¯ºAEḄ:
³´BG»ACH,¶NBHC+NABG=60஺
X¿dAF+CE=V3AC.ூ[ᫀ௃প3^(2)Â`᪆.ூ`᪆௃ூb`௃ᑖ᪆d(1)ᐜ¿ÄÅAOE/ÅC8F,klAE=CF=2&
fCQ=x,ᑣCE=AC=x+l,ᙠRtAACD:᪷jÌÍÎᳮᑡvwX`^(2)°±8G»8Ḅ°±¯M,ᐜ¿ÄAABGÐEMG,¡ÑklCE+4F=2CD,ᵫn

24ῪÓ®©ḄឋÕÓ®©᜜®ḄឋÕkXNM=NMCG=NACG=NA8G=15஺
¡ÑZACD=30,ᵫcosNACO——lCD=—AC,ÜÑk¿ÄÝ.AC2b`dপ`d•.•¨©ABCD,,,,AD=BC,ZADC=ZABC=90°.vZADE+ZADC=180°,.-.ZADC=90°,•••Z.ADC=ZABC.vBF=DE,.-.ADE^ACBF,.-.AE=CF=2V2.••ᙠRtAABC:
AD=V7fCD=x,ᑣCE=AC=x+l,(/)+x1=(x+l),`ldx=3,ᓽdCD=3^(2)¿Äd°±BG»CDḄ°±¯M᧕¿ABGgEMG,.-.GM=GB,AB=CD,ZABG=ZM,ÛBF=ED,•••AF=ME.•,.CE+AF=CE+ME=2CD,³´CG,ᙠRtZXMCB,CG=MG,•••ZM=ZMCG.ÛCA=CE,;GAEḄ:
ZMCG=ZACG,ÛZBHC=ZM+ZMCG+ZACG,ZBHC+ZABG=60,.).ZM=Z.MCG=ZACG=ZABG=15°,.-.ZACD=30°.

25vcosz.ACD=-----,AC■■CD^—AC,2•••AF+CE=73AC.d⚪ὃV¨©ḄឋÕ
ᐰnÓ®©ḄᑨÎßឋÕ
ÌÍÎᳮ
à®Ó®©ḄឋÕ
nῪÓ®©ḄឋÕ
`à®┦®Ó®âᦪḄäå
ᵨᑮläå6-2>4-3,ᡠ3x412Ḅᑖ`
ᡠ3F12
=.4$1
᝞ðì᦮ᦪmü᜜ì᦮ᦪnḄýv
ᡃéöì᦮ᦪmþᐰývᦪ.X¿dëzþᐰývᦪm,SᨵFm
=1
2
᝞᦮ᦪt,t=10x+y
l

26xn]mḄ

27ᑖ9\@ABCᐰEFᦪm,^ᨵF(m)===1n(2)GᣚtᦪᓝḄᦪᑮḄᦪᓃᑣt'=10y+x,b]"ᔡἝᦪ"0t(-t=(10y+x)-(10x+y)=9(y-x)=36,0y=x+4,E)l->513378459453—>—\ᑗ“ᔡἝᦪ"/F(t)Ḅ0.1337594ὃi?jUᑖ9ḄkᵨKRjUᑖ9?▅mn.