2022-2023学年安徽省蚌埠市中考数学专项提升仿真模拟试题（二模三模）含解析

《2022-2023学年安徽省蚌埠市中考数学专项提升仿真模拟试题（二模三模）含解析》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。

2022-2023
ḕὃᦪ⚗ᓣ⚪ஹ⌱⌱ᜧ⚪ᑖ20ᑖ⚪2ᑖ1.ᙠ2,-1,-3,ᦪᨬḄᦪA.-1B.0C.-3D.22.!"#P3,-2%#஺ᐵ(x*+,ᑣ஺#Ḅᙶ᪗0A.-3,2B.-3,-2C.2,3D.(3,2)3.1ᑡ3456ḄA.a-b2=a2-b2B.-2a32=4a6C.a}+a2=2a5D.-(a-l)=-a-l4.᝞<ᡠ>Ḅ5?@᝞ABCDEFG1ᑡ

1᝞1:᪛}Qᙳneᓫm᪗iᵬ}1.80.2ᙇ}180.6ᙇ}2.00.6ᙇ}2.00.2ᙇ3KkP¡ᑜ£¤⌱kA.ᵬ}ᙇḄ᪛}B.}ᙇḄ᪛}C,}ᙇḄ᪛}D.}ᙇḄ᪛}7.ᙠRtZk/BCZC=90°,48=10,BC=8,ᑣtaḄ®3443A.B.-C.-D.43558.᝞<"8
3஺Ḅ¥¦§C/=CB,஺¨S©#%/ஹ8#ªᨵ«ᔠᑣḄeᦪA.30°B.400C.45°D.¯°9.᝞<ᡠ>±ᢗ²³Yᱏ´<µFᢗᑮ¶·S.!"Yᱏ%¶·QMA#0ᐝ¹%Yᱏ8cḄº»00.1¼YᱏḄn8c00.038¼½◤⌕ᢗḄ<µOEn1.9¼ᑣᢗ²³ᐝ¹À¶·ᜧo02⚓/48⚓

2A.6¼B.5¼C.4¼D.3¼10.᝞<#ÁX*SḄ©#Â#ÁÃx*ḄᚖRP஺ÅÆÇRy=Lx>0(#0,XÈÉ஺0,Ê#ÁËX*Ḅ5?ᔣ3©ÍRtA஺஺ÁḄ☢ÏÁ4.O\pxA.⌲ÑÒᜧB.⌲ÑÓC.Ôᢝªᨵ¯D.Ö×6Øஹ⚪ᜧ⚪ᑖ24ᑖ!⚪3ᑖ11.?Ù2x=l+4xḄÚ.12.JidᙠÛÈÜ᦮ᦪ஺Þ6ßàábc஺6Ḅ®ᑖâ.13.q᪥ä᜜PḄæiᜓᑖP᜜½P7çᑣè13ç½P8çᑣé5ç.êä᜜PḄçᦪÞᑖᡂḄPᦪ.½ëä᜜PḄçᦪ0x¤ᑖᡂḄPᦪ0ᵫ⚪Fᑡ?ÙP.14.qᖪî0ÚᖪîḄïðñ°ò³ᩭᖪîóôḄ200õö÷ḄÉAøᑴᡂ᝞<ᡠ>Ḅúû<.᪷úû<ᡠýḄþÿ
200ᖪḄ⊤ᨵḄᨵ.很满意满意说不清不满就15.᫜☠ᙠᜋᐸ!᝞!ᡠ$%/C=0.65&'(
᫜Ḅ)☢+,-&.16./ᓝ123Ḅ4567896ᔣ;<ᡈᔣ><᝞?
@A6BឋᜧEFGᑣIJ45ᓝ123KL78Ḅᭆ᳛-_.17.PQRᦪT-1,2,(>VXḄWᜧXYEZᑏ\]^_`ᩩbḄRᦪᐵdef3⚓/i48⚓

318./᪍ᚮlḼᚮnoᙳqḄᩈᩞtᨵuᑖwᙽyz{|᝞!ᡠ$.}~
ᚮᩈᩞḄ᣸ᑡ%\
ᚮᩈᩞḄi᪷ᦪ-.#ஹ$%⚪ᜧ⚪ᑖ66ᑖ19.ᐜᦪe‘+1_L.8ᓄᯠZ⌱ᔠ〉஺Ḅ'ᦪeḄ.a2-\a-\20./ᔆ᡽ᜧ5ᜓ¢ᨵ/ஹ3IAᨵG¤¥ᜓ¦⌱.ᐸ§AᨵG¤¥ᜓḄ¨©§ª᝞«⊤.⚜ᔆ®¯°ᜓḄ±²ᨵ³~22´ᐗ.ᵬ·¨©´ᐗ/$54§ª´$531
ᢥᔆ⌕6ºᨵ»A°¼2
½ᔆḄ5ᜓḄªB¾ᨵB¿À17´ÁÂÃ⁚ű²Æ⌱ÇA°¼21.ZᵨÉᙽ᝞!1ᡠḄÊẈ!ᫀ“ήᓫДᙠ!2ஹ!3ᑖÒÓ\ÔÕÖḄᙢØ!ᫀ,ÚÛÜḄ!ᫀᡂÞßᙍÖᡈßᙍÖ.⌕:IAÛâᔜᨵFGᡠä!ᫀ▢æuᑖᵨçè⊤.$f4⚓/i48⚓

422.éêᩭ/ìíîïðñòóôᔾöᜧᢇøᑁ᜜îûᩭᐝíîஹᱥþᎷ
☢ᑖ᧜2013——2016ᦪᦈᐭ.2013-20164-.᠋0ᦪ12ᵨ2013-2016
4Ἕ67ᦈᐭ:2;᪷Ḅ!"#$
ᑡ&⚪((I)2016ᦪ)+,ᦈᐭ)+ᐗ((2)ᙠ201420152016/01ᦈᐭ2345Ḅ6/7Ḅᦈᐭ89723Ḅ:ᑖ᳛)(ᑮ0.1%)B(3)2016Ḅ1>ᑁ)1200+,ᐸA)B᜜>ᑁḄᙳEFG)700ᐗ&B᜜ḄᙳEFG)HIᐗJ(K(ᦈᐭ=ᦪxḄᙳEF)23.᝞1,2,FABC6OP0QRDஹEᑖ6/8ஹ8cP9ḄTUV(WVXBஹCYᨵ[ᔠ)]^_ᢝ(1)aV஺ஹEcUᑮ᝞1ᡠeḄfghij(CNA/E.(2)k11Ḅl᝞«nḼ4Vph┐rs60஺ᑮtḄfg(᝞2),ᑖuv஺tஹEF.জxy1ᡠᨵḄOP0QRS/BC◀᜜){|ᐸ17T}~jঝᑨPRCDFEḄR{ᳮᵫ.5⚓/48⚓

524.7᫑Ḅ6ᱥ᝞ᡠe6m,520m,¡¢£¤Ḅ¥¦ᙳ)5m.1©ᱥªᙠᡠ}Ḅ«Qᙶ᪗®1᝞ᡠeᐸ⊤°±6y=ax2+cḄR±.·᪷ᡠ}ḄᦪiyacḄ¸.2i¢£Ḅ35.3᫑
ᙢ»☢6¼ᔣ¾¿⍝Á1¤67ᩩÃ2mḄ◞¦Å,ᐸ1Ḅ7ᩩ¾¿⍝Æᔲ{᣸¾ÉÃ2mஹ3mḄ0ÊË¿Ë¿¤Ḅ¤◞ÌᶍYᨵJ·ÎḄᳮᵫ.6⚓/48⚓

62022-2023
ḕὃᦪ⚗ᓣ⚪()7ஹ⌱7⌱(Ñᜧ⚪Óᑖ20ᑖÔX⚪2ᑖ)1.ᙠ2,-1,-3,()/Tᦪ1ᨬXḄᦪ6()A.-1B.0C.-3D.2ூÁÜ$ᫀ௃Cூß#௃#(᪷ᨵᳮᦪ8àᜧXḄáâãä.•.ᙠ2,-3,0,-1/Tᦪ1ᨬXḄᦪ6-3.ᦑ⌱C.ᨵᳮᦪᜧX8àḄáâ(জÁᦪçᜧè0;ঝêᦪçXè0ঞÁᦪᜧè7ᑗêᦪটTêᦪ,¸ᜧḄᐸ¸îX.2.ïðVt(3,-2)WV஺ᐵèxò|óᑣ0VḄᙶ᪗)()A.(-3,2)B.(-3,-2)C.(2,3)D.(3,2)ூÁÜ$ᫀ௃Dூß#௃⚪#᪆(᪷ò|óḄឋ÷äVP(3,-2)ᐵèxò|óḄVḄᙶ᪗)(3,2).ᦑ⌱D.Vù(ᐵèxò|óḄVúᙶ᪗ûüᙶ᪗ý)ᦪᐵèyò|óḄVúᙶ᪗ý)ᦪüᙶ᪗ûᐵèþV|óḄVúᙶ᪗üᙶ᪗ᙳý)ᦪ.3.
ᑡcÿ
Ḅ()A.(a-b)2=a2-b2B.(-2a3)2=4a6C.a3+a2=2a5D.-(a-l)=-a-lூ
ᫀ௃Bூ௃⚪᪆Aஹ=a2+b2-2ab,ᦑ⌱⚗┯';Bஹ=4a6,ᦑ⌱⚗
Cஹ*ᨵ,ᔠ./ᦑ⌱⚗┯'Dஹ=-a+l,ᦑ⌱⚗┯'.ᦑ⌱B.4.᝞1ᡠ3Ḅ45/᝞6789:/;<=ᑡ1?@Ḅ()A7⚓/E48⚓

7ூ
ᫀ௃Bூᑖ᪆௃᪷I4?9:1ḄᱯK/ᑨMᔜO☢ḄQ☢ஹR☢ḄᱯKᓽ;.ூ௃ᵫ''VWZXQ☢”;Z/ஹ஺*ᨵ\ᔠ⚪]/^Cᢚ`a/ᙊ?ᙠd☢/4?ᙠe☢/ᑣgh?Ḅ☢ᙠi☢/j1*ᨵ\/kᨵBᢚ`a\ᔠ/ᦑ⌱B.l⚪ὃnḄ45Ḅ9:1/opᑭᵨ4?9:1ḄᱯKᑨMᔜO☢ḄQ☢ஹR☢ḄᱯKsl⚪Ḅᐵu.5.᝞1/ᙠᓫwxyzḄ{|}w~e{Q}wḄᱏ/᝞6~jᱏi=4ᡠᡂḄ/1=58஺,~jᱏe4ᡠᡂḄN2ḄᦪA.60°B.58°C,52°D.42°ூ
ᫀ௃Bூ௃⚪᪆᝞1,A8⚓/E48⚓

8AB஻CD,BC஻AD,.*.Zl+Z3=180°,Z3+Z2=180°.•.Z2=Z1,N1=58°,/.Z2=58°.ᦑ⌱B.6.{ᜓ⌱{ᓟᜧ2mḄ᪛ᩭ£w⊙⍝¦ᓄ/ᨵ¨O©ᙇ«¬ᢗ᪗ᓫ᪛Ḅ¯°±{᪵.³´|µ¨O©ᙇ@±¶]·n¸20᪛©Ḅ/¹ᑮḄᦪI᝞=᪛©}ᙳᓫ¼m᪗½ᵬ©1.80.2ᙇ¿©1.80.6ᙇÀ©2.00.6ᙇÁ©2.00.2ᙇÂÃÄ3K´|ÅÆᑜÈ/É⌱A.ᵬ©ᙇḄ᪛©B.¿©ᙇḄ᪛©C.À©ᙇḄ᪛©D.Á©ᙇḄ᪛©ூ
ᫀ௃Dூᑖ᪆௃᪷I᪗½Ê4½;<Ë᧜ᦪIḄÍÎᜧ´/⌱Åᔠ〉©ᙇḄ᪛©ÐÑÒ8ÓḄ/£^
Ô⌱ÕÖḄ᪛©.ூ௃ᵫ×᪗½Ê4½;<Ë᧜ᦪIḄÍÎᜧ´/ᡠ<ᵬ©ᙇjÁ©ᙇÑÒᔠ〉A9⚓/E48⚓

9ØÁ©ᙇ᪛©}ᙳᜧ×ᵬ©ᙇ/ᡠ<É⌱Á©ᙇḄ᪛©.ᦑ⌱D.ὃn¸᪗½/᪗½ÙᙳÚ4½/4½Ë᧜{|ᦪIÍÎᜧ´ḄᱯKᦪ/4½Ûᜧ/ᦪIḄÍÎឋÛᜧ4½Û´/ÝÔឋÛÞ.7.ᙠRM/3C@/ZC=90°,AB=\O,BC=8,ᑣtaḄß3443A.{B.-C.{D.-4355ூ
ᫀ௃Aூ௃⚪᪆ᙠR3ABC@/ZC=90°,AB=10,BC=8,AC=6»AC63:.tanBn==—=—.8c84ᦑ⌱A.8.᝞1/
3஺஺Ḅàá/CA=CB,஺âe{Îãjäஹ8ã*ᨵåᔠ/ᑣḄᦪA.30°B.40°C,45°D.{Oæçூ
ᫀ௃Cூ௃⚪᪆...AB00Ḅàá//.ZACB=90°,VCA=CB,.NA=/ABC=45°,.ND=/A=45஺/ᦑ⌱C.ãèᙠéᙊᡈëᙊ@/éâᡈëâᡠQḄᙊᕜhVë/±ë×íᩩâᡠQḄᙊïhḄ{{ð.9.᝞1ᡠ3/{ñᢗòóᱏa1ô;ᢗᑮõöe.÷Zᱏjõö}w/Aãᐝù/jᱏ8cḄúû01ü/ᱏḄBC0.038ü/ý◤⌕ᢗḄOE1.9ᑣᢗᐝ10⚓/48⚓

10ᜧC.4D.3ூᫀ௃Bூ%&௃'⚪&᪆*᝞ᡠ-./0“G_LOE7G,!BC"F98C஻DE,ᡠ</BCS/S/OE,AG±BC,AF=0Am,=/G=/i,AFBC0.10.038ᑣ:,Lஹ|J=&D*h=5m.~AGDEh1.9ᦑ⌱B.1.᝞JKLxNOḄPQRJ.JK0XNḄᚖUK0VWXUY=Z8>07J2,X]^O0,_JK`XNḄaᔣcRdRtA஺஺KḄ☢jA.⌲lmᜧB.⌲lnoC.pᢝrᨵtD.uvwூᫀ௃Cூ%&௃'⚪&᪆*•••PQLxNJQᙠWXUy=Lx>0O,XSAQOP=5•ᦑ⌱C.}ஹ⚪ᜧ⚪ᑖ24ᑖo⚪3ᑖ11.a2x=l+4xḄ&L.n⚓/48⚓

11ூᫀ௃x=-gூ%&௃'⚪&᪆*⚗D2x-4x=l,ᔠ⚗D-2x=l.&D*x=—■-2ᦑᫀx=-L.212.ᙠQ]᦮ᦪ஺66ḄᑖLூᫀ௃3,4ூ%&௃'⚪&᪆*ᵫ73=4=716-79

12ூ%&௃'⚪&᪆:Î200ÃÄÅÏÐÑᖪºḄ»¼½¾⊤-rᨵḄᨵ146%-38%-9%x200=14Ãᦑᫀ14.15.PQÓ᫜☠ᙠᜋ×ᐸÙÚ᝞ᡠ-¾DNC=0.654cL8C,ÎQÓ᫜ḄÛ☢ÜÝL.ூᫀ௃0.65ூ%&௃'⚪&᪆*᝞=ᙊßO,]àOAஹOB,ᵫ⚪²³áACஹBCᙊḄᑗU.,.OA±AC,OB1BC,AC_LBC,OA=OB,•••ã×äOBCAaäOA=AC=0.65cm.ᓽÓ᫜ḄÛ☢ÜÝ0.65cm.ᦑᫀ0.65cm.16.ᓝçèéḄêë³ìíî³ᔣïðᡈᔣòð᝞ÆÎóô³õឋᜧo÷ᑣøêëÑᓝçèédùìíḄᭆ᳛L.13⚓/48⚓

13ூᫀ௃-9ூ%&௃'⚪ᑖ᪆*ý᪛ÿ
ᐳᨵ9ḄᦪᐸḄᦪ
1,ᡠᑣḄᭆ᳛
ᦑ!ᫀ
.99QRSTQRTA\QRSTUTὃ%ᑡ⊤()᪛+(.17.-./ᦪ%(-1,2),5y7XḄ9ᜧ;<=>ᑏ@ABCDEᩩGḄ/ᦪᐵIJூLM!ᫀ௃!ᫀOᨵ(᝞y=—x+l,y=-3x-l,..).ூᑖ᪆௃X/ᦪḄ⊤YJ
N=^+b,ᵫN7xḄ9ᜧ;<=ᑣD<0,`%(-1,2),abஹ6efḄᐵIJgᔠὅjkᓽூmn௃nX/ᦪḄ⊤YJ
N=h+b:`%(-1,2):.b—k=2:᜛7xḄ9ᜧ;<=k<0ᓽbjrᦪst=—1uᑣ6=1,ᡠy=-x+lᦑy=-x+l.v⚪ὃxy/ᦪḄឋ{|}ឋ~⚪!ᫀOᨵBCᩩGᓽ18.᪍ᚮ}ḼᚮᙳḄᩈᩞfᨵᑖᙽ(᝞ᡠ).xᚮᩈᩞḄ᣸ᑡa@ᚮᩈᩞḄ᪷ᦪ14⚓/48⚓

14ூLM!ᫀ௃55ூmn௃~⚪n᪆᪷ᦪ——x10=55.2ᦑ!ᫀ
55.#ஹ$%⚪ᜧ⚪ᑖ66ᑖ19.ᐜ¢£ᦪJD3tl_L¨ᓄªᯠ¬>⌱¯Aᔠ〉஺Ḅk²³£ᦪJḄk.cr-\a-\ூLM!ᫀ௃—,s஺=2u´JḄk
2a-1ூmn௃~⚪ᑖ᪆ᐜ᪷¶ᑖJᡂ¸ḄᩩG³@aḄjkº»ᑖ¼£ᦪJᓄª¬jAᔠ〉Ḅak£ᐭ¨¾¿.~⚪n᪆´J=/ÀÁÂÃஹ-——+a-\a+\_1a-\a-\as஺=2u2´J=----=2.ÀÄÅ2-120.ᔆ
᡽ᜧÈÉÊËÌͨ5ÎXᜓÐᨵ4ஹ8OᨵÑÒÓXᜓÔ⌱¯.ᐸÕOᨵÑÒÓXᜓḄÖ×ÕÎØÈÉÙ᝞Ú⊤.⚜¿ÜᔆÝÞÍßXᜓḄàáOᨵâ22ãᐗ.ᵬêÖ×Àãᐗ/ÎÃ54ÕÎØÉÙÀãAÃ53À1ÃᢥÜᔆ⌕³ᨵçÍßè15⚓/48⚓

152ëÜᔆͨḄ5ÎXᜓḄØÈÉìOᨵíî17ãAïð
y⁚òàáóÜ⌱¯ôÍßèூLM!ᫀ௃1ᨵ3Íßᐹö÷n᪆ø2⌱¯2,ᓽÍßᵬXᜓ1ÎÍßêXᜓ4ÎùYᑮÈÉìOᨵíî17ãAḄ⌕³ûtü⁚ò2ãᐗ.ூmn௃~⚪ᑖ᪆1XÍßᵬýᘤxÎx>0,ᑣÍßêýᘤ5-xÎ᪷¶ßýᘤᡠὑ
ᨵ22ᐗᓽᵬᘤḄᦪ+ᘤḄᦪW22ᐗ.ᑮᐵxḄᨵ!xḄ#.2$%&'Ḅ6(ᘤḄ)*+,ᨵ-5./01ᨵᐵ23ᵬᘤ*+Ḅ45ᦪ+ᘤ*+Ḅ45ᦪW5.᪷7I8Ḅ9:;!<Ḅ◤⌕
?@⌱B!ᔠ〉Ḅ.E⚪G᪆Y1IᵬIᜓx(KL0ᑣIᜓ5-x(.N⚪O35x+45-x<22GQ2,ᓽxR0,1,29.S.ᡠ$ᔆ⌕ᨵ331YᨵᵬIᜓIᜓ5(.2YᵬIᜓ1(Iᜓ4(.3YᵬIᜓ2(Iᜓ3(.2ᢥ1.ᡠὑ
X4x5=20ᐗYIᜓ)+ZX3x5=15K.[\ᢥ2.ᡠὑ
X1x5+4x4=21ᐗYIᜓ)+ZX5x1+3x4=17K.[\ᢥ3.ᡠὑ
X2x5+3x4=22ᐗYIᜓ)+ZX5x2+3x3=19K.[.]^⌱B_`aᑮ*+,ᨵ-17.Ḅ⌕bc9⁚e2ᐗ.ᦑ⌱B2.21.ghᵨjᙽ᝞mIᡠnḄoẈmᫀX“stᓫv”ᙠm2ஹm38ᑖ{I:!|.}~Ḅᙢmᫀ,Ḅmᫀᡂᙍᡈm.K⌕:ᔜᨵᡠmᫀ▢ᑖᵨ⊤n.[16⚓/48⚓

16m1m3ூ}ᫀ௃ᫀ¢G᪆ூ£G௃E⚪ᑖ᪆3t⚪ὃ⇋}~ḄXmḄᡈὅm8<.}~Ḅ§X¨'©mªᣚ!¨ᡈὅm.E⚪G᪆3᝞mᡠn22.¬ᩭ¯°±²³´µ¶·¸ᔾºᜧᢇ½ᑁ᜜²ÀÁᩭÂᐝ±²ஹᱥÅᎷÇ☢mᑖ{É᧜Ë$°2013——2016²ÀÌᦪͱ²´ᦈᐭÐÑ.2013-2016
ᡃ.70Ct_2IB2013-2016
Ntil6cᦈᐭd2IH.0ᦋa0b1500IZ2S᪷7Ò:mÓÔḄÕÖGÇᑡØ⚪:12016²ÀÌᦪXÌÙ±²´ᦈᐭXᐗ;2ᙠ201420152016Û98,±²´ᦈᐭÜÝÞÅḄ/.Û|Ḅ±²´ᦈᐭcß|ÜÝḄàᑖ᳛XKᑮ0.1%B32016Ḅ²À8âᑁ²ÀX1200ÌÙᐸäX½᜜²À7Ò:âᑁ²ÀḄÌᙳæçeX700ᐗؽ᜜²ÀḄÌᙳæçeXèéᐗêKë3±²ᦈᐭ=²ÀÌᦪx²ÀḄÌᙳæç[17⚓/48⚓

17ூ}ᫀ௃জ.(1)1225ঝ.940000ঞ.B(2)2006,ট.41.4%B(3)½᜜²ÀḄÌᙳæçeX4000ᐗூ£G௃E⚪ᑖ᪆3ᵫÒ:m13(1)2016²ÀÌᦪX1225ÌÙ±²´ᦈᐭX940000ᐗ\(2)ᙠ201420152016Û98±²´ᦈᐭÜÝÞÅḄ/2014Û|cß--ÜÝḄàᑖ᳛X(940000-665000)-665000=41.4%B(3)I½᜜²ÀḄÌᙳæçXxᐗ᪷7⚪O1200x700+(1225-1200)x=940000GxḄSᓽ.E⚪G᪆3(1)1225,940000B(2)2004,41.4%.(3)I½᜜²ÀḄÌᙳæçeXxᐗ᪷7⚪O1200x700+(1225-1200).r=940000,GÛ.~ïð4000.3½᜜²ÀḄÌᙳæçeX4000ᐗ.23.᝞m1,m2,A/BC/ñ9òDஹEᑖ{/48ஹBCñßḄ.óô(öô/ஹ8ஹCᨵ÷ᔠ)ùúûᢝ(1)ýô஺ஹEÿᑮ᝞1ᡠḄCD=AE.(2)1ḄḼ4┐60஺ᑮF48Ḅ(᝞2),ᑖ஺ஹEF.জ!ᡠᨵḄ#$%&'S/8C◀᜜)+,ᐸ./0123ঝ5ᑨ78$'CDFEḄ'9+:2ᳮᵫ.>18⚓/A48⚓

18ூDEFᫀ௃12IJ᪆3L2জᨵ2/D%&'ᑖMN8£OF,"FE,2IJ᪆3ঝ8$'CCFEMPQ8$'ᳮᵫIJ᪆.ூᑖ᪆௃1᧕4BCD^4CAE,ᓽTU!3L2জTU!BD=BF,ZABF=60°3AF=AE,ZFAE=60°,ᡠVᨵ2/D%&'ᑖMNBDF,AAFE3ঝTUFDPQW#XEC,ᓽTU8$'CDFEMPQ8$'.ூYJ௃L1•••NABCMD%&'/.BC=CA,ZB=ZECA=60°.XVBD=CE,AABCD^ACAE..\CD=AE.2জᨵ2/D%&'ᑖMNBDF,AAFE.ᵫ⚪[ᨵ4ACE\ZXABF,.♦.CE=BF,ZECA=ZABF=60°XVBD=CE,3.BD=CE=BF,.♦.NBDFMD%&'VAF=AE,ZFAE=60°,AAAFEMD%&'.ঝ8$'CDFEMPQ8$'.VZFDB=ZABC=60°3.FD஻EC.^FD=FB=EC,8$'CDFEMPQ8$'.24.._`᫑ḄbcMdᱥfgL᝞ᡠO`h6m,ij20m,klmnopḄqrᙳt5m.1udᱥfvᙠᡠ0Ḅx&ᙶ᪗{L᝞ᡠOᐸ⊤}~My=ax2+cḄ'~.᪷ᡠ0Ḅᦪ!“cḄ.2noḄj.3`᫑ᙢP☢MᔣQ⍝LDpM.ᩩ2mḄ◞rOᐸḄ.ᩩQ⍝ᔲ+᣸Q2mஹh3mḄ%LpḄp◞ᶍᨵO::Ḅᳮᵫ.>19⚓/A48⚓

19y3ூDEFᫀ௃(1)--N+63(2)5.5m3(3).ᩩQ⍝+᣸Q¦᪵Ḅ%.ூᑖ᪆௃(1)᪷⚪¨T©4B,஺Ḅᙶ᪗[!dᱥfḄJ᪆~«ᐭTJ.(2)[NḄᙶ᪗t(5,y)T!noMNḄj.N(3)[஺NM◞rḄNGM%Ḅj°.±G“ᚖx48´dᱥfXᑣTJ.ூYJ௃(1)ᵫ⚪¨ᩩ¶4ஹBஹCḄᙶ᪗ᑖM(-10,0)ஹ(0,6)ஹ(10,0).f6=cu8ஹCḄᙶ᪗«ᐭ¼=஺/+஺U½½½0=100a+cJUa-,-6-50dᱥfḄ⊤}~My=--^x2+6.(2)T[M5,ᓽ)3,XM½=----x5~+6=4.5.50ÁÂnoḄjM10-4.5=5.5(m).(3)[DEM◞rḄEGM%Ḅj°ᑣGᙶ᪗M(7,0)(7=2+2+2x3).31ÆGÇG/7ᚖx´dᱥfX"ᑣÉ,x72+6=3+—>3.᪷dᱥfḄᱯT©.ᩩQ⍝+᣸Q¦᪵Ḅ%.Í⚪ὃϼÐÑÒᦪᙠÓ▭ÕÖḄ×ᵨÙÚ⚪ÛUÒᦪJ᪆~MJ⚪ḄᐵÝ.>20⚓/A48⚓

202022-2023
ḕὃᦪ⚗ᓣ⚪#.ஹ⌱.⌱LÍ⚪ᐳ10à⚪áà⚪4ᑖᐳ40ᑖO1.-2Ḅ#XL)A.2B.-2c7D.±22.ᑡãDEḄMLOA.(a3)2=a5B.a6-^a3=a2C.(ab)2=a2b2D.(a+b)2=a2+b23.ä“ååᡭὶᔠé!êë“ååᡭ”.íîpïðᜧòᓭᓅõ2017ö“ååᡭ÷ᡝùúAûü}ᑮ4930000000ᐗᵨþÿᦪ⊤A.4.93x10sB.4.93x109C.4.93x1010D.4.93x10"4.᝞ᙠḼ,ᔠḄ᝞ᡠᑣᔠḄᨬ᦮ᦪ"#)A.1B.2C.3D.46.᝞%&'(AB஻CD,NGEBḄ*ᑖ(EF,CD-.F,Zl=40°,ᑣN2/-C.150°D.160°7.ᙠ0123456789᝕;<Ḅᑖ=>ᓷ@ᙶᡂCᓫE:᝞G⊤:ᡂC454647484950H21⚓/K48⚓

21Sᦪ124251M34ᡂCḄ5EᦪNOᦪᑖP()A.47,49B.48,49C.47.5,49D.48,50k8.᝞ᡠAOACNaBADb#/Ὺ'dedfZAC0=ZADB=90°,jklmᦪy=—ᙠxp▲Ḅr.B,s0A,-.P,0஻-AB2=18,ᑣ.PḄvᙶ᪗()A.9B.6C.3D.3729.᝞z{fABCD#{1Ḅf,E,FBDᡠᙠ'(Ḅ~.AE=EZEAF=135°,ᑣGᑡḄ#()CAF=fD.z{f9AFCEḄ☢410.1mᦪa/+bx+c(awO)Ḅp᝞Gᑡzজ4a+c<0ঝm(am+b)+b>a(m*-1)ঞᐵ-xḄᐗ14/+(b-1)x+c=0ᨵᦪ᪷ট஺ᑁ+2<஺(k2+l)2+b(k2+l)("ᦪ).ᐸ5Ḅᦪ#()H22⚓/K48⚓

22A.4B.3C.2D.1ஹ£¤⚪(¦⚪ᐳ4⚪¨⚪5ᑖᐳ20ᑖ)11.ᑖ"©ª+4Ṻ+2x=12.ᦪxஹy¬,4|+¯9=0,ᑣ°xஹyḄ±{Ḅ/ῪedfḄᕜ,13.᝞ᙠ஺05CD#'³´ABJ_CD,ᚖE,NC=22.5°,AB=6cm,ᑣ▢º»ᑖ☢•14.ᙠ*½z{fABCD5¾E*ᑖN5/O,{BC-E,DF1ᑖNADC,{BC-F,AD=\l,EF=5,ᑣAB=_.eஹ"¿⚪(¦⚪ᐳ2⚪¨⚪8ᑖᐳ16ᑖ)15.ÀÁ|-2|-(1+72)°+4-#cos30°.16.ᐜᓄÇÈɱ.2x--3^——x"+—xy^+ly12Ë2y?),ᐸ5x=g,᜛=-1.zஹ(¦⚪ᐳ2⚪¨⚪8ᑖᐳ16ᑖ)17.%&᝞AABCe⚔.Ḅᙶ᪗ᑖPA(0,-3)ஹB(3,-2)ஹC(2,-4),fÐÑ5¨fḄ{#1ᓫEÒ.(1)ÓÔAABCᔣ*Ö6ᓫE×ᑮḄAAiBiCi(2)°.CEÚᙠÐÑ5ÓÔAA?B2c2,ÛAAzB2c2sAABCEÚJiUAzB2c2sAABCḄH23⚓/K48⚓

23EÚk21,Þ'ßᑏÔ.A2Ḅᙶ᪗.J->x18.áḼSâãäᦈᐭḄᨵçèéêë%ìᩭìîᙢðᐭᑮᔜòó.0ᜧõö÷ø"ùëúû⚪üýþÀÿ
⚔Ḅ.ᢥᚁ⍝ᚁ⌕▲᪗•!"#$ᔲ&ᐭ.᝞ᙢ☢ᡠᙠḄ-.ME1⚔ᡠᙠḄ-.AC456Ḅ,CDḄ9:;0.5m,?@ABCᚁ⍝Ḅ▲DFḄEFGHIJ0.1m,sin2830.47,UஹFW⚪ᐳ2Z⚪[⚪10ᑖᐳ20ᑖJ19.;^_ᐰaᦻcdefᡂHh@deijḄᓣlmᩭᡃep᩽rs⁚$u᣸wxy6z⁐f|}~ᡃe2016mḄz⁐f|☢p;95052018mᑮ18625.2017mஹ2018mḄz⁐f|☢pᢥḄE᳛⌲m⌴ᑡ⚪F1J?mᡃey6z⁐f|☢pḄm5ᙳE᳛F2J2019mᡃeᑜy6z⁐f|☢pᑮ24005.᝞H2019mᢝḄm5ᙳE᳛⚜2019mᡃe$ᔲᡂᑜ᪗¡20.ᵯ£¤Ḅ“¦a§¨ᜧª”⁚ᦻᓄiᑁ¯°±.²᪥´µm¶·¸¹º“¦a§¨ᜧª”»ª¼ᐰm¶½ᡂ¾¿6~Àᑖ;““ஹ“Á”ஹ"ÄÅ"ஹ"ÆÇ”ÈÉʶË᪷}ᡂ¾Íᑴᡂ᝞ÏÐᨵ᦮Ḅ~~¦ḄÓÔÕᑡ⚪Ö24⚓/Ù48⚓

24j
klm''Qpqrᜧstj
klz{pqrᜧs-usᡂwᩩy_2;btSᡂwᡧy}2;F1JᡧÛ~¦ᡠ¼ÜᡧÛḄᙊÞß;:ËàᩩÛ~⊡ᐙ᦮.F2Jä廪ᨵÈæ½çèéᑖᑖê4ᵬஹìஹíஹîïðÈ潦ᢧ⌱æ½óô½᪥õ6Ḅ“¦a§¨ᜧª”»ªᵨᑡ⊤øᡈú᪛üø?@⌱¦Ḅæ½ាÂ4ᵬஹîḄᭆ᳛.~ஹ⚪ᐳ1!⚪ᐳ12ᑖ21.᝞AB஺0ḄCᙠ஺0NABCḄᑖACD,00AḄᑗE.1ZACB=°,ᳮᵫ$%2'(AEADḄ)*+,-.Ḅ'(%ஹ⚪ᐳ1!⚪ᐳ12ᑖ22./0123ᦪ5ᐶ789:;᦮ᳮ=2>ᖪ@ᙠAxᜩ1SXW90,HxI᦮ᦪḄJKLḄᐵNO᝞Q.RSᖪ@ḄTKI30ᐗ/XYZᖪ@ḄJKIyᓫ]$ᐗ/X^ᜩḄLIpᓫ]$X^ᜩḄᑭaIwᓫ]$ᐗ.A25⚓/e48⚓

251h=WXḄiᦪᐵjk%2lZᖪ@AmᜩnoᜩḄᑭap+h=ᑭa%3Zᖪ@ᙠqᨵstᜩ^ᜩḄᑭauᨵv5600ᐗpxyᑏ={|.}ஹ⚪ᐳ18⚪ᐳ14ᑖ23.᝞1,ᙠRtAABCZC=90°,AC=6,BC=8,PAACᔣC1ᓫ]ḄQCCBᔣB^2ᓫ]Ḅ,PPD஻BC,ABD,yPQᑖAஹCn=oᐸᑮn,¡¢£¤¥¦Yn§It¨0.&B.T2CW-PAQpx1©21yᵨ«tḄ¬ᦪkᑖ⊤®$QB=,PD=.2ᔲ°ᙠtḄ±²³)PDBQI´)pµ°ᙠh=tḄ±%µuᨵ°ᙠ¶-ᳮᵫ.+·¸᝞¹ᦋ»QḄᒴ²³)PDBQᙠ2n½I´)hQḄ%3᝞2,ᙠ᦮qh=¾PQMᡠḄÁ.A26⚓/e48⚓

262022-2023
ḕὃᦪ⚗ᓣ⚪#ஹ⌱⌱⚪ᐳ108⚪^8⚪4ᑖᐳ40ᑖ1.-2Ḅ±ÃA.2B.-2C.yD.±2ூÅÆÇᫀ௃AூÊË௃Ë$᪷ÍᦪÎ2ᦪÏḄÐÑÒÓÔᦪḄ±ḄÕÖᙠᦪÎ-2ᑮÏḄÐÑ2,ᡠ-2Ḅ±2,ᦑ⌱A.2.QᑡÚÛÅÆḄA.a32=a5B.a6^-a3=a2C.ab2=a2b2D.a+b2=a2+b2ூÅÆÇᫀ௃CூÊË௃Ü⚪ᑖ᪆$AஹÞᦪuᨵ»ᢣᦪàᦑA┯â%BஹÞᦪuᨵ»ᢣᦪãᦑB┯â%CஹäåàæÃ^çkᑖàæèéᡠåḄêàᦑCÅÆ%DஹëḄæÃæëìäḄíîᦑD┯â%ᦑ⌱C.ூὃ௃1.ðḄàæäḄàæ%2.ÞᦪêḄ◀ò%3.óᐰæõk.3.“÷÷ᡭùὶᔠü=ýþ“÷÷ᡭù”
ᜧᓭᓅ2017“ᡭᡝᑮ4930000000ᐗᵨᦪ"⊤$%&'A.4.93x108B.4.93x109C.4.93xlOl,D.4.93*10"ூ)*+ᫀ௃Bூ./௃ᵫᦪ"Ḅ⊤$23%aXl&rḄ23ᐸ51Wa|<10,n%᦮ᦪ.*8nḄ9:⌕<=>ᦪ?ᡂa:AᦪBCDEFGHnḄ9IAᦪBCDḄHᦪJK.L>ᦪ9>1:nM)ᦪNL>ᦪḄ9<1:nMOᦪ.PQ4930000000=4.93x109.ᦑ⌱B.T27⚓/48⚓

27BXYQ⚪ὃ\Eᦪ"Ḅ⊤$]".ᦪ"Ḅ⊤$23%a*l()nḄ23ᐸ5l|a|<10,n%᦮ᦪ⊤$:ᐵj⌕)**8aḄ9klnḄ9.4.᝞oᙠqr]stuḼqA)]swxqyᔠsḄ{|o᝞oᡠ$ᑣxqyᔠsOூ)*+ᫀ௃Bூ./௃ᵫ>so2{|o5r]s)]sḄHᐵ᣸◀AஹCஹD.ᦑ⌱B.x-l>05.ᨵ3y11ḄᨬA᦮ᦪ/M()1——x<0I2A.1B.2C.3D.4ூ)*+ᫀ௃Cூᑖ᪆௃✌ᐜ/ᨵ35Ḅqᨵ3ᯠ*8ᨵ3yḄ/*8/5ḄᨬA᦮ᦪᓽ.x-l>0(1)ூ./௃ᨵ3y,1¡Al--x<0(2)/ᨵ3(1)¢YxNl,/ᨵ3(2)¢Yx>2,ᡠk¤ᨵ3yḄ/%Yx>2,ᜧ¥2ḄᨬA᦮ᦪM3,T28⚓/48⚓

28x-l>0ᡠkᨵ3y11ḄᨬA᦮ᦪ/M3,1——x<0I2ᦑ⌱YC.§⚪ὃ\¨ᐗᨵ3Ḅ᦮ᦪ/.©ª«¬/ᐗᨵ3Ḅ§®¯°±²ᨵ3Ḅឋ´µ¶M/·Q⚪Ḅᐵj.6.᝞o¹º»¼AB஻CD,NGEBḄÀᑖ¼EFÂCD¥BF,Zl=40°,ᑣN2¥C.150°D.160°ூ)*+ᫀ௃Dூ./௃/Y:AB//CD,N.NGEB=N1=4O஺.VEF%/GEBḄÀᑖ¼ZFEB=yZGEB=20°..•.Z2=180°-ZFEB=160°.ᦑ⌱D.7.ᙠÍÎsÏÐÑ5ÒÓÔ᝕KḄᑖÖ×ᓷÙᙶᡂÛ&ᓫH:q'᝞Ý⊤:ᡂÛ454647484950ᦪ124251xQÐÑᡂÛḄ5Hᦪßᦪᑖà%&'A.47,49B.48,49C.47.5,49D.48,50ூ)*+ᫀ௃Bூ./௃Ñ⚪/᪆YÐÑḄᦪM15ᜐ¥T8HḄM48,ᡠk5HᦪM48.49ḄÎᦪâFßᦪM49.ᦑ⌱B.8.᝞oᡠ$ã0AC4BADäMῪ»æçæ2ZAC0=ZADB=90°,èéêëᦪì=«ᙠî▲ḄoðBB,I0AÂ¥BP,w0AJAB?=18,ᑣBPḄôᙶ᪗%&T29⚓/48⚓

29A.9B.6C.3D.372ூ)*+ᫀ௃Cூ./௃Ñ⚪/᪆Yö8Bᙶ᪗%÷ø'•.•ãO4Cã8ZZäMῪ»æçæ24.OA=6AC,AB^y/lAD.OC=AC,AD=BD,'''OA2-AB2=18,.-.2AC2-2AD2=18,AC2-AD2=9,.-.AC+ADAC-AD^9,:.OC+BDCD^9,4ab=9,/.k=9.9èéêëᦪ⊤3MYy=~.x»¼஺øḄ⊤3%Yì=x9y=—x=3nx=—3ὶ]úYfE/¢Yû,ᡈý&þµ'.y=3y=-3.y=x.BÿḄ
ᙶ᪗3.ᦑᫀ3.9.᝞ABCD1ḄE,FBDᡠᙠḄAE=6,ZEAF=135°,ᑣᑡḄ!#$30⚓/'48⚓

30A.DE=1B.tanZAFO=—D.39AFCEḄ☢)*ூᫀ௃Cூᑖ᪆௃᪷0Ḅឋ234AOḄᵨ678ᳮ34EOḄᯠ;ᵫNEAF=135஺>NBAD=90஺?@AᑮCDEF᪷0CDEFḄឋ234BFḄGHHIJᓽ?ᑨM.ூNO௃PABCDAB=CB=CD=AD=1,AC1BD,ZADO=ZABO=45°,V2.,.OD=OB=OA=—,NABF=NADE=135°,ᙠRt^AEOQE0=y]AE2-OA2=DE=J5ᦑA┯S.VZEAF=135°,ZBAD=90°,.*.ZBAF+ZDAE=45O,,/ZADO=ZDAE+NAED=45஺,AZBAF=ZAED,AAABF^AEDA,.AF_ABAEDEAF1AF=------,ᦑC,2OF=J/U=6$31⚓/'48⚓

31tanZAFO=OA_2_1ᦑB┯Sc=g=5•*,SiAECF——•AC«EF=-x72x=->ᦑD┯S2222ᦑ⌱C.t⚪ὃwḄCDEFḄᑨ8xឋ2᪷0Ḅឋ2yᵨ678ᳮ34Cz{Ḅ,G᪷0/EAF=135஺}/BAD=90஺AᑮCDEFᵨCDEFḄឋ234AFḄᯠ;᪷0ឋ34Ḅ☢).10.*ᦪa/+bx+c(o*0)Ḅ᝞ᑡPজ4a+c<0Pঝm(am+b)+b>a(m*-1)ঞᐵxḄHᐗ*(b-1)x+c=0ᨵᦪ᪷টaY+bk2

32ঝ•,«ᱥḄX=-1,•\y=a-b+cḄ®,ᓽ¯ᵨ(஻#-1)²ᐭAPy=am2+bm+c-1)2-4ac,QVO,C>0,ac0fV(ft-1)2>0,AA>0,¸ᐵxḄHᐗ*஻/+(b-1)x+c=0ᨵᦪ᪷টᵫAP¥x>-1¦yºxḄ»ᜧ¼½£•¥ᨴᦪ¦0<^<^+1,••¥ߟÁḄ®ᜧx=R+lḄᦪ®ᓽᡂ4+bF+c>a(F+1)2+b(F+l)+c,a/(4+bk2>a(3+1)2+b(A2+l),ᡠ@´⌱⚗ᨵᡠ@Ḅᦪ1ᦑ⌱D.*ஹÆÇ⚪(t⚪ᐳ4£⚪É⚪5ᑖᐳ20ᑖ)11.ᑖOÊ2ËÌ+4xy+2x=ߟூᫀ௃2x(j^+1)2ூᑖ᪆௃ÎÊÏÐÑÊGᑭᵨÓᐰÕÑÊᑖOᓽ?.ூNO௃ÎÊ=2x(y2+2y+1)=2x(y+1)2,ᦑᫀ2x(y+1)2´⚪ὃwÖÏÑÊ×xÑÊ×ḄØᔠyᵨÚÛÜÝÊᑖOḄ×Ot⚪ḄᐵÞ.12.ᦪXஹyßà|x-4|+"^=0,ᑣ@XஹyḄ®ḄãῪEFḄᕜ.$33⚓/'48⚓

33ூᫀ௃20ூᑖ᪆௃ᐜ᪷0çèᦪḄឋ2ᑡÊ34xஹyḄ®Gᑖ4Ὺxéêëìí3OPூNO௃᪷0⚪îAx-4=0,y-8=0,OAx=4,y=8.জ4Ὺ¦EFḄEᑖï4ஹ4ஹ8,•••4+4=8,.•.ᨵðñᡂEFঝ4é¦EFḄEᑖï4ஹ8ஹ8,ðñᡂEFᕜ=4+8+8=20.ᡠ@EFḄᕜ20.13.᝞ᙠ஺0QCDòóAB1.CD,ᚖàE,NC=22.5°,AB=6cm,ᑣ▢ö÷ᑖ☢).9ூᫀ௃--9ூNO௃ø⚪O᪆Pùú஺4,஺13,vZC=22.5°,:.AAOD=45\AB1CD,408=90°,$34⚓/'48⚓

34:.OE=-AB^3,04=OB=~AB=3VI,22.-ccca90-7rx(3V2)21,_9Q360229ᦑᫀHᐔ-9.22üPᡧḄ☢)ÑÊPs=þL.36014.ᙠÕÿ
ABCD,ZEᑖN84D
BCE,DFᑖN4DC
BCF,AD=H,EF=5,ᑣAB=_.ூᫀ௃8ᡈ3ூᑖ᪆௃᪷4E஺ᔆᔲᑖᑖ!"#$Ḅ&᪷'
Ḅឋ)ஹ'+Ḅឋ)ஹ,ᑖ+Ḅ-./,#/
ᓽ12"3.ூ56௃67জ94E஺:;᝞=&ᡠ?DBFE;1•
48C஺A'
AD=\\,EF=5,:BC=AD=1,AD//BC,4B=CD,>,/DAE:/BEA,/ADF=/CFD,4AEᑖDFᑖN40C,'NDAE=NBAE,/ADF=/CDF,/BEA:/BAE,NCFD=NCDF,:BEAB,CF=CD,:,BE=AB=CD=CF,•4BE+CF=BC+EF,B35⚓/E48⚓

35627F8=8Iঝ9ZE஺:Mᨵ;᝞=&ᡠ?:
N8CDA'
AD=\\,EF=5,4.BC=AD=11.,AD//BC,AB=CD,:"DAE=NBEA,ZADF-ACFD,"4AEᑖNB4஺DFᑖN/OC,/.Z.DAE-NBAE,NADFZCDF,4.ZBEA=ZBAE,ZCFD-ZCDF,4.BE-AB,CF=CD,4.BE=AB=CD-CF,■:BE+CF+EF-BC,2/IB+5=஺627AB-Z),YZᡠ[7AB=2ᡈ3,ᦑ8ᡈ3.^⚪ὃaḄ'
Ḅឋ)ஹ'+Ḅឋ)ஹ,ᑖ+Ḅ-./Ὺc,Ḅឋ)de'
Ḅឋ)ஹ'+Ḅឋ)ஹ,ᑖ+Ḅ-./,#/
6f^⚪Ḅᐵh.#ஹ$%⚪(⚪ᐳ2!⚪⚪8ᑖᐳ16ᑖ)7715.lm7|-2|-(1+J5)°+"-^-cos30".ூᫀ௃-2B36⚓/E48⚓

36ூᑖ᪆௃᪷zḄឋ){|}Ḅឋ)ஹ~|᪷Ḅឋ)ஹ┦,c,ᦪzᓄᓽ16.ூ56௃|-2|-(1+72)°+V4-—cos30°3=27+2-g32=2-1+2-y,5=-2,16.ᐜᓄz.2x2—3(-++2)—2(x2—xy—2y2,ᐸx=g,y=-1.9ூᫀ௃N+272,4ூᑖ᪆௃ᐜᔠ⚗ᐭ"ᓽ1.ூ56௃2%2—3(—+§+2/-2(x1—xy—2y2j=2x2->-x2+2xy+2y2?-2x2+2xy+4y2=2^2+¢2-2xy-2y-2x2+2xy+4)^=/+2£9¤=’,y--1;2.¦=—H2=-.44¨⚪ὃa©᦮Ḅ«¬-ᓄz®Ḅ¯°ᨵ7±ᑣ²®ᔠ⚗±ᑣ³´de±ᑣ6¨⚪Ḅᐵh.ஹ(⚪ᐳ2!⚪!⚪8ᑖᐳ16ᑖ)17.µ¯7᝞&AABCc·⚔¹Ḅᙶ᪗ᑖAA(0,-3)ஹB(3,-2)ஹC(2,-4),¼½¾¿·¼Ḅ
À1·ᓫÂÀÃ.(1)!"AABCᔣZÅ6·ᓫÂ2ᑮḄAAIBICII(2)²¹CAÂÇᙠ½¾!"AA2B2c2ÉAA2B2c2ÊAABCÂÇËZJV2B2c2ÊAABCB37⚓/E48⚓

37ḄÂÇÌA271,ᑏ"¹A2Ḅᙶ᪗.ூ56௃Î⚪ᑖ᪆(1)ᑭᵨÅḄឋ)2"#$¹ÂÑÒÓ2"ᫀI(2)ᑭᵨÂÇ&Ḅឋ)2"#$¹ḄÂÑÒÓ2".Î⚪6᪆:(D᝞&ᡠ?:Õ48/G,ᓽAᡠIফ᝞&ᡠ?Õ/282C2,ᓽAᡠI4ᙶ᪗(Ø2,—2)>418.ÙḼÛÜÝÞᦈᐭḄMᨵàáâãäåæᩭæèᙢÒᐭᑮᔜ·ëì.íᜧïðñAò6óäôõ⚪ö÷ølùáú©û⚔óäüḄøl?ý&.ᢥÿ
•ᚁ⍝ᚁ⌕▲᪗

ᔲᐭ.᝞
ᙢ☢ᡠᙠḄ"#ME&'⚔ᡠᙠḄ"#AC+,-Ḅ,CDḄ0120.5m,6789:ᚁ⍝Ḅ▲DFḄ<(>?ᑮ0.1m,sin28%0.47,ூLMNᫀ௃ᚁ⍝Ḅ▲DFḄ<+3.8m.R38⚓/U48⚓

38ூVW௃X⚪ᑖ᪆\✌ᐜ᪷`AC஻ME,bcZCAB=/AE28°,h᪷`ijkᦪmn7BCḄ<
opcᑮBDḄ<
op67DFᓽb.X⚪W᪆\\AC஻ME,'ZCAB=ZAEM,ᙠRtZ\ABCv,ZCAB=28°,AC=9m,x.BC=ACtan28°g9X0.53=4.77(m),.\BD=BC-CD=4.77-0.5=4.27(m),ᙠRtZ\BDFv
ZBDF+ZFBD=90°,ᙠRtZXABCv
ZCAB+ZFBC=90°,.\ZBDF=ZCAB=28",x.DF=BDcos28°=4.27X0.88=3.75763.8(m),N\ᚁ⍝Ḅ▲DFḄ<+3.8m.ஹ(⚪ᐳ2!⚪⚪10ᑖᐳ20ᑖ)19.2ᐰᦻᡂ?
7Ḅᓣ
ᩭ
ᡃ᩽⁚᣸¡
¢-£⁐¥
`¦m
ᡃ2016Ḅ£⁐¥☢§2950¨,©ª
2018«ᑮ1862¨,©ª.¬2017ஹ2018Ḅ£⁐¥☢ᢥ¯°Ḅ±<᳛⌲⌴±
µWN¶ᑡ¸⚪\(1)6¹ºᡃ¢-£⁐¥☢Ḅ,ᙳ±<᳛x(2)2019ᡃmᑜ¢-£⁐¥☢«ᑮ2400¨,©ª.᝞?2019½¾ᢝ¯°Ḅ,ᙳ±<᳛
µÀ⚜Â2019ᡃᔲÃᡂmᑜÄ᪗ÅூLMNᫀ௃(1)¹ºᡃ¢-£⁐¥☢Ḅ,ᙳ±<᳛240%x(2)᝞?2019½¾ᢝ¯°Ḅ,ᙳ±<᳛
2019ᡃÃᡂmᑜÄ᪗.ூᑖ᪆௃(1)¹ºᡃ¢-£⁐¥☢Ḅ,ᙳ±<᳛x,᪷`2016Ḅ£⁐¥☢§2950¨,©ªÇ2018«ᑮ1862¨,©ª
ᑡ7©È6Wᓽbx(2)᪷`(1)67Ḅ±<᳛¸⚪
ᐜ67⚜Â2019£⁐¥☢
h&mᑜ¢-£⁐¥☢«ᑮ2400¨,©ªo-ÉÊ
ᓽbc7Nᫀ.ூVW௃(1)¹ºᡃ¢-£⁐¥☢Ḅ,ᙳ±<᳛2x,ᑣᨵ950(l+x)2=1862,Wc,xI=0.4,X2=—2.4(ÎÏ)>ᓽ¹ºᡃ¢-£⁐¥☢Ḅ,ᙳ±<᳛240%x(2)ᵫ⚪Òbc
R39⚓/U48⚓

391862xÓ1+40%Ô=2606.8,V2606.8>2400,...2019ᡃÃᡂmᑜÄ᪗
ᓽ᝞?2019½¾ᢝ¯°Ḅ,ᙳ±<᳛
2019ᡃÃᡂmᑜÄ᪗.Ö⚪ὃØÙᐗÛÜ©ÈḄÝᵨ
W⚪ᐵà+⌕áâ⚪ÄḄÒã
᪷`⚪Ää7ḄᩩæDZ<᳛¸⚪Ḅᦪçᐵè
ᑡ7©Èo-6W.20.ᵯêëḄ“víîᜧð”⁚Äᦻᓄó
ᑁõö÷.ø᪥úÛûüýþÿ“
ᜧ”ᐰᡂᑖ“”ஹ“”ஹ“”ஹ“”!"#᪷%ᡂ&ᑴᡂ᝞)*+,ᨵ.᦮Ḅ121
Ḅ3456)ᑡ8⚪:j
klm•pqrᜧ'j
lzᔆpqrᜧs'usᡂwᩩy_2;ᓃᓃsᡂwᡧᩆ2;14O12O1O0如N45SO604020O?1AᡧC1
ᡠEᡧCḄᙊGHI#JᩩC1⊡ᐙ.᦮.?2APQᨵRSTUᑖᑖVWᵬஹYஹZஹ[\]^R
ᢧ⌱*Rab᪥dḄ“
ᜧ”2ᵨᑡ⊤gᡈi᪛k1glm⌱
Ḅ*RាWᵬஹ[Ḅᭆ᳛.ூrs6ᫀ௃?1A72w⊡1xy᪆:?2A6ூᑖ᪆௃?1AᵫᕜH~ᡠEḄᡧCḄᑖᦪTmᡠEḄᡧCḄᙊGIᦪwlmᐰᦪTm“”Ḅᦪ⊡ᐰ1ᓽw?2Aim᪛k1ᵫᭆ᳛ᓽTm6ᫀ.ூy௃?1A360°?1-40%-25%-15%A=72°wᦑ6ᫀ72wᐰᦪ45+15%=300?A“”Ḅᦪ300ஹ40%=120?AJᩩC1⊡ᐙ.᦮᝞1ᡠ:40⚓/48⚓

40?2Ai᪛k1᝞1ᡠ:ᐳᨵ12!Ḅ⌱
Ḅ*RាWᵬஹ[Ḅᨵ2!P?⌱
Ḅ*Rា21Wᵬஹ[A=-=-=7.126ὃ:ᑡ⊤g᪛k1gwᡧC1wᩩC1.ஹ?¡⚪ᐳ1¢⚪ᐳ12ᑖA21.᝞1ABW஺0Ḅ¦§Cᙠ஺0ªNABCḄ«ᑖ¬AC®¯D,²AḄᑗ¬®¯E.?1AZACB=஺ᳮᵫW:w?2A·¸4EADḄCk#¹º»Ḅ·¸w?3A¼AB=8,AD=6,lBD.ூrs6ᫀ௃?1A90°w¦§ᡠḄᙊᕜHW¦H:?2A¹ºxy᪆w?3Ayூy௃¿⚪ᑖ᪆:?1A᪷%ABW஺஺Ḅ¦§Cᙠ஺0ªᑭᵨ¦§ᡠḄᙊᕜHW¦Hᓽ41⚓/48⚓

41TᑮÂw(2)᪷%NABCḄ«ᑖ¬AC®¯D,TᑮNCBD=NABE,Å᪷%AEW஺0Ḅᑗ¬TᑮZEAB=90°,]ÆTᑮ/CDB+NCBD=90°,"ÇÈᣚTᑮNAED=NEDA,]ÆᑨË4EADW"ῪÍHC.(3)¹TÎCDBs/\AEBÑBD=5x,ᑣCB=4x,CD=3x,]ÆTᑮCA=CD+DA=3x+6,ᯠᙠ¦HÍHCACB
ᑭᵨAC2+BC2=AB2Tᑮ(3x+6)2+(4x)2=82yTxᓽlTBDḄÕ.¿⚪y᪆:(1):ABW஺0Ḅ¦§Cᙠ00ªAZACB=90°(¦§ᡠḄᙊᕜHW¦H)(2)4EADW"ῪÍHC.¹º::NABCḄ«ᑖ¬AC®¯D,.\ZCBD=ZABEVAEW஺0Ḅᑗ¬ZEAB=90°.,.ZAEB+ZEBA=90°,VZEDA=ZCDB,ZCDB+ZCBD=90°,VZCBE=ZABE,.,.ZAED=ZEDA,AAE=AD.,.ÎEADW"ῪÍHC.(3)y:VAE=AD,AD=6,w.AE=AD=6,VAB=8,×ᙠ¦HÍHCAEB
EB=10VZCDB=ZE,ZCBD=ZABE.,.ÎCDB^AAEB,.AEDC_6_3,•⁰r1Û×ÑCB=4x,CD=3xᑣBD=5x,.,.CA=CD+DA=3x+6,ᙠ¦HÍHCACB
AC2+BC2=AB2ᓽ:(3x+6)2+(4x)2=82,42⚓/48⚓

4214yT:x=-2?ÜÝAᡈx=2514.♦.BD=5x=—5.Þ:¡⚪ὃßàᙊḄáᔠãä⚪å
æçᑮàᙊᕜHËᳮஹ"ῪÍHCḄឋéᑨËçêÍHCḄᑨËឋéëI
"ìª.íஹ?¡⚪ᐳ1¢⚪ᐳ12ᑖA22.îïðᦪᐶò¢óôõ᦮ᳮmïöᖪøᙠxᜩ?1WXW90,úx᦮ᦪAḄûüÇḄᐵ34᝞).þãᖪøḄü30ᐗ/
ᖪḄyᓫᐗ/
ᜩḄpᓫ
ᜩḄᑭwᓫᐗ.1WXḄᦪᐵ2
ᖪ!"ᜩ#$ᜩḄᑭ%&ᑭ3
ᖪᙠ()ᨵ+,ᜩᜩḄᑭ-ᨵ./5600ᐗ%012ᑏ45.ூ789ᫀ௃1
<=᪆2
!45ᜩ#$ᜩ?@ḄᑭᑭA6050ᐗ3
ᐳᨵ24ᜩᜩḄᑭ-ᨵ./5600ᐗ.ூC=௃D⚪ᑖ᪆1
$1G50#ᖪḄy#HxḄᦪᐵIJ+6,ᵫLḄᙶ᪗ᑭᵨPQᦪRᓽTU#yᐵ/xḄᦪᐵ᪷WXYT@$50Z90#[90.\]Q⊤_ᜩḄp#HxḄᦪᐵp=஻?x+",ᝅᐭᦪWᑭᵨPQᦪRᓽTpᐵ/xḄᦪᐵ᪷Wᑭ=ᓫ
ᑭ,ᦪᓽT@wᐵ/xḄᦪᐵ2
᪷Wwᐵ/xḄᦪᐵᑖeὃ⇋ᐸᨬj⚪.$1SE50#klᦪḄឋJᓽTᙠUoᑁwḄj$50q90#᪷WᦪḄឋJᓽTᙠUoᑁwḄjrsjtuvᓽT@4w3
xWN5600,T@ᐵ/xḄyᐗkl-ᨵz{yᐗ-ᨵz=-ᨵzᓽT@xḄ|joᵫUᓽT@4w.D⚪=᪆1
$1}ᡃ0#ᖪḄy#HxḄᦪᐵI+6ᨌb@Aᦪ!43⚓/48⚓

43/0),•4y=kx+b(0,40)ஹ(50,90),6=40k=l.{,=@{,50%+6=90%=40ky#HxḄᦪᐵ[x+40$50M90#90.,x+40("x<50,r᦮ᦪ)y#HxḄᦪᐵqᑣஹ.'-90(50x᦮ᦪ)$350#w=(y-30)p=(x+40-30)(-2x+200)=-2x2+180x+2000$50Z90#w=(90-30)(-2x+200)=-120x+12000.®ᡠ°ᜩḄᑭw#HxḄᦪᐵA-2x2+180x+2000(114x(50,c᦮ᦪ)w={.-120x+l2000(506000,$x=45#w,j6050ᐗ.ᓽ!45ᜩ#$ᜩ?@ḄᑭᑭA6050ᐗ.(3)$1SE50#xW=-2X2+180X+2000N5600,BP-2x2+180x-3600>0,=@30

44$50G90#xÄ720%+1200025600,ᓽ-120x+6400>0,=@50sxs53᧡Vx᦮ᦪ•'-50?@$%#(AQḄ89*
3᝞C2,ᙠ᦮E;

459?5^!"#PDBQ%#*
32hᓫaO9.ூiZ௃Z
1᪷k⚪mnCQ=2t,PA=t,QB=8-2t,•ᙠRtZ^ABCHZC=90°,AC=6,BC=8,PD஻BC,AZAPD=90o,.PDBC4tanA=---=------=—I4ᦑSᫀ$
18-2t,—t.3
2+ᨵᙠᙠRtz^ABCHZC=90°,AC=6,BC=8,AAB=10VPD/7BC,AAAPD^AACB,ABAC106.5..AD=—t,5ABD=AB-AD=10--t3VBQ^DP,••\BQ=DP?!"#PDBQrs!"#,4/12ᓽ8-2t——,Znt=—.35\1=>?,PD=—x—=—,BD=1——x--=6535535*.DPᓲBD,PDBQ+ᨵv$%#.wAQḄ89$]^vEᓫaO9,b46⚓/g48⚓

4645nlᑣBQ=8-vt,PD=-t,BD=10--t,33⌕!"#PDBQ$%#ᑣPD=BD=BQ,\PD=BD?ᓽZnt=—333ஹ10>,0410105m16\PD=BQ,t=—?ᓽtl>x—=8_—,ZnY=—333315\AQḄ89$]^£EᓫaO9?1^!"#PDBQ%#.(3)᝞C2,C$AACᡠᙠḄI$xr☢ᙶ᪗.⚪m0*,\t=0?AMiḄᙶ᪗$(3,0),\t=4?AM2Ḅᙶ᪗$(1,4).wIMiM?ḄZ᪆$y=kx+b,.J3+6=0[k-^h=4k=—2Zn/Ib=6IM1M2ḄZ᪆$y=-2x+6.••AQ(0,2t),P(6-t,0)ᙠ;

47BB«⚪ὃ®¯°±#Ḅᑨ³´ឋ¶ஹrs!"#Ḅᑨ³´ឋ¶ஹ%#Ḅᑨ³´ឋ¶·¸ᦪḄ¹ᵨ.«⚪ºᔠឋ¼½¾9¿ᜧZ⚪ḄᐵÂÃmᦪ#ÄÅḄ¹ᵨ.b48⚓/g48⚓