2021年宁夏银川市兴庆区中考数学一模试卷

《2021年宁夏银川市兴庆区中考数学一模试卷》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。

2021
ᐶὃᦪᔁஹ⌱⚪⚪3ᑖᐳ24ᑖ1.“”ᑭᐭᨴ⍝,'()ᨵ1800000ᓟ,-1800000./ᦪᵨ1ᦪ⊤A.0.18X107B.1.8X105C.1.8X106D.18X1052ᑡ!"#$Ḅ&A.crta3—a6B.3ab-ab—2C.-2a
2=-4/D.a{a-4)—a2-4a3ᵫ6/34Ḅ5#678ᡂḄ:;7-<=./:;7Ḅ>?@&4ᑅᑅḄᝤᝤᙠDE├GH⛲J.ᨬMᕜ-Oᜩ├GQRH⛲JḄ/ᦪS11,10,II,13,11,13,15.ᐵU.VᦪW-ᑅᑅXY᝞[\-ᐸ^┯`Ḅ&A.aᦪ&11B.bᙳᦪ&12C.6d&D.^eᦪ&1375᝞@-fg/hijikḄhi⚔mnompᔠ-rs/⚔mA,BḄᙶ᪗ᑖw-1,0
,0,«
.yz{jikᔣ}b~mAnm஺pᔠ-XᑮOCB',ᑣmBḄmḄᙶ᪗&

1AO\ClA.(1,0)B.(5/3,C.(1,V3)D.(-1,M)6ᦪḄ@᝞@ᡠ-ᑣᦪy.nᦪy=bx+cᙠ4ᙶ᪗ᑁḄᜧ@&()h'A\ik.47᝞@-PA,3ᑖwn003ᑗUAஹB,mC00Em-ACஹBC,NP=50°,ᑣNACBḄᦪ()A.60°B.75°C.70°D.65°8ᑭᵨ᝞@1Ḅṹ'w.Q᪥¢£¤/w¥-@2&Q/¦Ḅw@ᫀ-ᮞ⁐5#6ª⊤1,«⁐5#6ª⊤0,z¬'ᦪ®¯ᑮ}°

2a,h,c,d,<=±ᣚ{¦ᡠᙠ³´µ--ᐸµaX23+/>X22+cX2i+4X20,᝞@2,¬'ᦪ®¯ᑮ}°0,1,0,1,µ0X23+1X22+OX21+1X2°=5,⊤{¦5³¦.⊤10³¦Ḅw@ᫀ&ஹ⚪⚪3ᑖᐳ24ᑖ9.ᑖÇÈÉSab2-a=.10.!"SV16-3-V3°+|--1=.211/ÍÎÏḄÐÑ^Hᨵ3/ÒᳫÔÕ/«ᳫ-.Öᳫ◀Ø⁐᜜-ªÚஹᜧ5ஹÛᙢÝᐰ34-®Ð^ßà᥎Y/ÒᳫḄᭆ᳛&a,ᑣÐ^ᨵ/«ᳫ.1012ᐵUxḄᐗ6(Jt-1/+6X+F-k=஺Ḅ/᪷&0,ᑣkḄé&.13fgê-2y|+y-22=0,ᑣì=.14᝞@-ᙠᡧª048^-fgNAO8=90°,OA=&-òóABḄ^mCCDJ_O4,CEVOB,ᚖùᑖw஺ஹE,ᑣ@^▢ûüᑖḄ☢þ.15᝞@-RtZiA8CZC=90°,ᑭᵨᙠBC,BAᑖBE,BD,BE=B஺

3ᑖQ,Eᙊஹᜧ!2DEḄ%&'()*)ᙠNCBAᑁ-!.F0(122BF!AC"ஹG.3CG=1,PAB78.ᑣGPḄᨬ;<.16᝞@ᙠA☢CDᙶ᪗GHῪCDJDKজMxOP&OQ8RSᢥ7UVWᣚYZWᣚ[\ᑮḄ@K^_HῪCDJDK.`7ZQ8[.4(0,2)Wᣚᑮ.A2(6,0),\ᑮHῪCDJDKঝ0`eZQ8[.A2Wᣚᑮ.A3(6,0),\ᑮHῪCDJDKঞ0`JZQ8[.Wᣚᑮ.A4(10,ᖾ),\ᑮHῪCDJDKট0`iZQ8[.4Wᣚᑮ.j(10+12l0),\ᑮHῪCDJDKঠ0noV…ᑣ`2021qHῪCDJDKḄ☢r_—.ஹ!"⚪(17-22⚪6ᑖ23-24⚪6ᑖ25ஹ26⚪6ᑖᐳ72ᑖ)17uᑖvwxyz+2=3.x-1x-l2x-lx18u{Hv|y,3&~.5x-3>2x19᝞@ᙠPwKYq;PwKḄ%_7qᓫ%ᙠA☢CDᙶ᪗G,ABCḄJq⚔.A(5,2)ஹB(5,5)ஹC(1,1)ᙳᙠ..(1)AABCᔣA5qᓫ\ᑮ481GRᑏ.AiḄᙶ᪗0(2)AIBIQ.Ci┐90°[\ᑮḄ282cl.

4>420᪥¡¢£¤¥8¦᪥§¨ᜓª¦«¬£®¯¬£ᵨ!°±£²8,3ª¦30³«¬£®20³¯¬£ᐳ◤8500ᐗ03ª¦40³«¬£®10³¯¬£ᐳ◤8000ᐗ.·1¸¹«¬£®¯¬£Y³ª¦ºᑖ»¼ᐗ½·2¸3¾᪥ª¦¯¬£ḄᦪÀÁª¦«¬£ᦪÀḄ2¼10³Sᵨ!ªÃ*Ä£ḄÅÆÇ{ÈÉ9000ᐗᑣ¾᪥Ê»ª¦«¬£»¼³½21᝞@ᙠAËiKABCCAE,CFᑖAᑖNBAO®/஺CB,-ÏD280!.E,22ᙠÐÑÒ᛻Ô·6ᨴ5Ô¸Ö᪥|×ØÙÒ᛻ÚÛÜÝÞßàáâãᑖÖjḄᡂå(᪵çᢥ“éꔓì픓ᔠ”'‘{ᔠ”iqHñ¦Ëòóôᑴ᝞ö÷{ø᦮Ḅòó@⊤.ÜÝᡂåòó⊤Hñ⚣ᦪ·üᦪ¸⚣᳛éê30aìíb0.45ᔠ240.20{ᔠ120.10

5ᔠóC1᪷ÿ
⊤Ḅᑡ⚪(1)⊤“=,h=,c=(2)⊡ᐰᩩ
(3)!᪥ᨵ2400&'()*+,-./0
./ᡂ234ᙠ6789(ᒹ;67)Ḅ'(<ᨵ=>?@%ᡂ'ᩩ)*+,数6045-48423630302424181260-./0ᔠ23ᔠ24523᝞BCDEA8CḄIA8J஺஺ḄᑗMᑗNOPACQRᙊT஺UVᙊWXYN£)ஹC,RC\]MCELAB,XABḄabMYNE.(1)deCB(ᑖNACE(2)*BE=3,CE=4,d஺஺Ḅfg.24᝞ᙠh☢]Eᙶ᪗lxOyBCp-qᦪy=Zr+6ḄwVxyzqᦪ{|ḄwWXY4,8}N~NAḄᙶ᪗O(a,6).(1)d!p-qᦪḄ᪆(2)dAOBḄ☢.

625᝞Jpᢝᒹᐸᵫᑖஹᓫᑖ⁚ᡷ᪀ᡂ.ᵨR⁚ᡷ*bᡈᓫᑖḄb¡8¢Ḅb(ᓫᑖVᑖbḄᐸ⁚ᡷᡠᓰḄb¥ᶍ§
)*bᡈ.¨ᓫᑖḄbOxcm,ᑖḄbO**Q.ª«ᑮ᝞ᦪ:ᓫᑖḄbx(cm)•••46810ᑖḄby(cm)73727170(1)d³)ᐵYxḄqᦪ᪆Udµx=150¶yḄ·(2)᪷Ḅ¹º»¼ḄbO120cᵨ¶½¾ᩭÀᔠ〉Ãd³Ä¶ᓫᑖḄb(3)¨ḄbOd/ḄÆ·È.26᝞ᙠÉABC஺AB=3cm,BC=4cm.¨Ê஺ᑖËOB஺BC9ḄÌNᙠN{ÍN£)Î஺8Ïᔣ\ᒴÒÓÌḄÔ¶N஺ÍNBÎBCÏᔣᔣNC\ᒴÒÓÌÓÌḄÒᙳOlcm/s,¨P,஺ÓÌḄ¶ÙOfÛ(0@(2)µ♦Oâ·¶P8QO3ῪDE@

7

82021
ᐶᖆ7ᩭ9:ὃᦪᔁஹ⌱⚪(⚪3ᑖᐳ24ᑖ)1.“çèpé”ëìíᑭïᐭñᨴó\ô⍝ö÷<ᨵ1800000ᓟù1800000úûᦪᵨü'ýᦪþ¡8⊤ÿ()A.0.18X107B.1.8X105C.1.8X106D.18X105ூὃ௃ᦪ⊤ᜧḄᦪ.ூ⚪௃!ᦪ.ூ"ᫀ௃Cூᑖ᪆௃ᦪḄ⊤&'“X10”Ḅ&'*ᐸ,lW|a|110,஻᦮ᦪ.56nḄ78*⌕:;<ᦪ=ᡂa8*?ᦪ@ABCDE*஻ḄFG7H?ᦪ@AḄEᦪIJ.K<ᦪFG7L18*”MNᦪOK<ᦪḄFG7118*”MPᦪ.ூQ"௃QR1800000STᦪᵨᦪVW⊤1.8X106,ᦑ⌱RC.2[ᑡ]^N5ḄM()A.a2,«3=iz6B.3ab-ab=2C.(-2a)2=-4a2D.a(a-4)=a2-4aூὃ௃ᔠgJh⚗OJjᦪkḄlOmḄlnHoḄlnRᓫ⚗'lC⚗'.ூ⚪௃᦮'Oq^rs.ூ"ᫀ௃Dூᑖ᪆௃᪷uᓫ⚗'lC⚗'*ᔠgJh⚗ᑣ*JjᦪwḄl*kḄlnHoḄln⌲ᑨzᓽV.ூQ"௃QR4/•஺3=”5,ᦑA⌱⚗ᔠ⚪OB.3ab-ab—2ab,ᦑB⌱⚗ᔠ⚪OC.(-2஻)2=4/,ᦑC⌱⚗ᔠ⚪OD.a(a-4)—a2-4a,ᦑ஺⌱⚗ᔠ⚪Oᦑ⌱RD.

93ᵫ6TIJḄ?NnᡂḄ*STḄM)ூὃ௃ᓫᔠḄ.ூ"ᫀ௃Aூᑖ᪆௃ᑮN☢:ᡠᑮḄ&ᓽV*ᡠᨵḄ:ᑮḄ⊤ᙠ,.ூQ"௃QRN☢:᧕jᨵ3TNn&*ᨬ,¢ᨵTNn&.ᦑ⌱RA.4ᑅᑅḄᝤᝤᙠ¥¦├¨©⛲«.ᨬ¬ᕜ*®ᜩ├¨°±©⛲«ḄTᦪR11,10,11,13,11,13,15.ᐵ³Sᦪu*ᑅᑅ´᝞[¶·*ᐸ,┯¹ḄMºA.»ᦪM11B.¼ᙳᦪM12C.n¾M¿&D.,EᦪM137ூὃ௃^Á¼ᙳᦪO,EᦪO»ᦪOn¾.ூ⚪௃ᦪuḄᦈÃH᦮ᳮOÅ]ḄᵨRᦪuᑖ᪆ÆÇOᵨÈ.ூ"ᫀ௃Dூᑖ᪆௃᪷u¼ᙳᦪஹ»ᦪஹ,Eᦪஹn¾Ḅ]^nᑖÊ]^SᦪuḄ¼ᙳᦪஹ»ᦪஹ,Eᦪஹn¾*ᨬËÌ´⌱Í.ூQ"௃QRᦪu11,10,II,13,11,13,15,*11´ḄÎᦪᨬCM3Î*ÏлᦪM11,³MA⌱⚗ᔠ⚪OÑS7Tᦪu?ᑮᜧ᣸ᑡË*ᜐᙠ,¢EÔḄTᦪM11,ÏÐ,EᦪM11,³M஺ᔠ⚪Ox=
11+10+11+13+11+13+154-7=12,ᓽ¼ᙳᦪM12,³M⌱⚗Bᔠ⚪O

10S2=A[(10-12)2+(11-12)2X3+(13-12)2X2+(15-12)21=J^-,ÏÐn¾Õ,777³M⌱⚗Cᔠ⚪Oᦑ⌱RD.5᝞*Ö×TØÙÙÚḄØÙ⚔H<Üᔠ*ÝÞT⚔A,BḄᙶ᪗ᑖÊ(-1,0),(0,á).ÑâÙÚᔣä¼@åAHOÜᔠ*ᑮæOC8',ᑣ8ḄGçB'Ḅᙶ᪗M()A.(1,0)B.(5/3,«)C.(1,D.(-1,V3)ூὃ௃ᙶ᪗H&=ᓄ-¼@.ூ⚪௃&.ூ"ᫀ௃Cூᑖ᪆௃᪷u¼@Ḅឋê´¼@Ëᙶ᪗Ḅᱯ*ìíQ"ᓽV.ூQ"௃QRÏAHOG*A(-1,0),O(0,0),ᡠW&ᔣä¼@1TᓫEîï*ᡠW8ḄGËḄᙶ᪗(0+1,«)*ᓽ(1,«),ᦑ⌱RC.6Îðᦪñò+/»+£Ḅö᝞ᡠ*ᑣ÷øùðᦪyHÎðᦪᙠJᙶx᪗úᑁḄᜧüöM()

11yூὃ௃ÎðᦪḄöO÷øùðᦪḄöOÎðᦪḄö.ூ⚪௃ÎðᦪýᐸᵨO÷øùðᦪýᐸᵨOÎðᦪöýᐸឋêOØÆ;ÿᳮ
.ூᫀ௃Dூᑖ᪆௃᪷ᦪᦪḄᐵᵫᱥḄ!fe>0,ᵫᱥyḄ"#!c<0,ᯠ%ᑭᵨ᣸◀*ᓽ,-./ᫀ.ூ0௃01•.•ᦪḄ34ᔣ6.\a>0,•.•ᦪḄḄᙠyḄ89:"yḄ;<.b>0,c<0,=>?ᦪy=ᒹḄAᙠBஹD▲BᦪḄAFGBDH▲xᦑ஺/.ᦑ⌱1D.7᝞PA.PBᑖM஺஺NᑗPAஹBQ##CR஺஺6B#STACஹBC,UNP=50°,ᑣNACBḄWᦪRXZூὃ#௃ᙊᕜ^!ᳮ_ᑗḄឋa.

12ூb⚪௃ᙊḄᨵᐵᭆfgឋa.ூᫀ௃Dூᑖ᪆௃ᐜᑭᵨᑗḄឋa-/OAP=NO3P=90°,jᑭᵨHklḄᑁ^nop./A08ḄWᦪᯠ%᪷ᙊᕜ^!ᳮopN4CBḄWᦪ.ூ0௃01ST஺4ஹ0B,♦.•AஹP8ᑖMNᑗP4ஹ8Q#0.OA±PA,OBLPB,/O4P=/O8P=90°,AZAOB=180°-ZP=180°-50°=130°,NACB=LZAO8=2X130°=65°.22ᦑ⌱1D.8ᑭᵨ᝞1Ḅrṹ,tuvwxyM.z᪥|}~BwxyM2zḄyMᫀᮞ⁐/l⊤1,⁐/l⊤0,Bvᦪ8ᑮRa,b,c,d,,tᣚRᡠᙠᐸRaX23+0X22+cX21+"X2°,᝞2,Bvᦪ8ᑮR0,1,0,1,R0X23+1X22+OX21+1X2°=5,⊤R5.⊤10ḄyMᫀXZ

13ூὃ#௃ᵨᦪ⊤_¡¢1lḄ£ᓄ¥.ூb⚪௃¡¢_¦§¨y.ூᫀ௃Aூᑖ᪆௃᪷⚪ªḄ¡ᑖMop.H⌱⚗ᡠ⊤Ḅᓽ,.ூ0௃01ᵫ⚪¬,4⌱⚗R1X23+0X22+1X240X20=10,B⌱⚗R0X23+1X22+1X21+0X20=6,C⌱⚗R1X23+0X22+0X21+1X20=9,D⌱⚗R0X23+1¸22+1X2஺1X2°=7,ᦑ⌱1A.ஹ⚪(⚪3ᑖᐳ24ᑖ)9.ᑖ0»¼1air-a=.ூὃ#௃½¾»¼*¾¼*Ḅ¿ᔠÁᵨ.ூb⚪௃op⚪.ூᫀ௃ÂÃ⚪0ᑁÄூᑖ᪆௃ż½Æa,jᑭᵨÈɾ¼ᑖ0ᓽ,.ூ0௃01ż=a(3-1)=a(6+1)(b-1),ᦑᫀR1a(஻+1)(b-1)10.op1V16-(3-VS>°+1--1=.2ூὃ#௃ÑᦪḄÁp_Òᢣᦪ.ூb⚪௃Ñᦪ_Áp
.ூᫀ௃31.2ூᑖ᪆௃ÔTᑭᵨpÕÈ᪷tgÒᢣᦪÖḄឋan×ØḄឋaᑖMᓄÙ-.ᫀ.ூ0௃01ż=4-1+Ú2=362

14ᦑᫀR131.211BÛÜÝḄÞߪàᨵ3áᳫnUãᳫäåᳫ◀æ⁐᜜lèஹᜧஹaᙢëᐰNíÞªîï᥎.BáᳫḄᭆ᳛-ᑣÞªᨵᳫ.10ூὃ#௃ᭆ᳛¾¼.ூb⚪௃ᭆ᳛gᐸòᵨ_ᦪᑖ᪆óf.ூᫀ௃7.ூᑖ᪆௃᪷ᭆ᳛Ḅô*õöQ#1জᐰøùúḄûᦪ_ঝýᔠᩩḄùúᦪÿ
ὅḄᐸḄᭆ᳛ᓽ.ூ௃ᳫx᪷⚪!"=&-,3+x10!x=l,'()x=7+,-Ḅ᪷ᦑ/0ᨵ7ᳫ.ᦑᫀ37.12ᐵ7xḄ8ᐗ
:,-(k-1)f+6x+S-k=OḄ8᪷0,ᑣkḄ.ூὃF௃8ᐗ
:,-Ḅ.ூG⚪௃HI⚪J.ூᫀ௃KL⚪ᑁNூᑖ᪆௃ᵫ7,-Ḅ8᪷0,Rx=0Sᐭ,-UḄ.V3,-ᐵ7xḄ
:,-ᡠXYZᦪḄ
:⚗]ᦪ^_0.ூ௃ᵫ7ᐵ7xḄ8ᐗ
:,-(A-1)+6b᮱-&=0Ḅ8᪷0,Rx=0Sᐭ,-67-k=0,!ki=l,k2=0dk=lfᵫ7
:⚗]ᦪk-1=0,,-(&-1)/+6x+F-&=0^ᐵ7xḄ
:,-ᦑ21.ᡠXiḄ0.ᦑᫀ3013kZk-2y|+(y-2)2=0,ᑣn=.ூὃF௃opᦪḄឋrstopᦪḄឋrᏔ:,.ூG⚪௃vᦪ.

15ூᫀ௃KL⚪ᑁNூᑖ᪆௃᪷opᦪḄឋrᑡxXஹy,ᯠ{|}ᓽ!.ூ௃᪷⚪!x-2y=0,y-2=0,!x=4,y—2,ᡠXxy=42=16.ᦑᫀ316.14᝞ᙠᡧOAB0kZNAOB=90°,04=ஹᔊABḄ0FCCZ)_L0A,CEL0B,ᚖᑖ3஺ஹE,ᑣ0▢ᑖḄ☢38.ூὃF௃ᡧ☢Ḅ.ூG⚪௃,ᙊḄᨵᐵᭆឋr_ᳮ_.ூᫀ௃KL⚪ᑁNூᑖ᪆௃᪷Ḅᑨᳮ!ᑮCC0E¡¢0C,᪷ᐰ¤¥¦Ḅឋr!ᑮ0஺=஺§!ᑮCD0E,᪷ᡧ¨,Ḅ☢©xᓽ!ᑮª«.ூ௃,0CD±0A,CE10B,0.NCD0=/CE0=/AOB=90°,COOE¡¢0C,•.•FCABḄ0F
NAOC=NBOC,'0oc=oc,0./\COD^/\COE(AAS),0.OD=OE,.♦.CDOE,OC=OA=M...0E=1,

160▢ᑖḄ☢=90ᐔ9:;y-1X1=?L-1,3602ᦑᫀ3E-I.215᝞RtZiABC0NC=9O°,ᑭᵨ°IᙠBC,8A±ᑖ²³BE,BD,´8E=8£
ᑖX஺E3ᙊµஹXᜧ72QEḄ·3¸¹ºᙠNC8Aᑁ»7FF¼½2BF!AC"ஹG.¾CG=1,P3AB±8¿FᑣGPḄᨬÁ3.ூὃF௃ᚖ½ÂᨬæÄᑖ½Ḅឋr8Åᩖ.ூG⚪௃⚪ÇÈÉÊ.ூᫀ௃1.ூᑖ᪆௃᝞FGGHLAB7H.᪷¦Äᑖ½ḄឋrᳮËÌGH=GC=1,ᑭᵨᚖ½ÂᨬÃᓽÍÎ⚪.ூ௃᝞FGG//LA87H."CGHLBA,GC1BC,:.GH=GC=\,᪷ᚖ½ÂᨬÃZGÏḄᨬÁ31,ᦑᫀ31.16᝞ᙠÄ☢ɦᙶ᪗]0¤Ὺɦ¥¦জÔxÕ¸ÕÖ¿×Øᢥ8IÚÛᣚ,

17Ý:Ûᣚ{!ᑮḄÞ¤Ὺɦ¥¦.ß8:Ö¿{F4á0,2âÛᣚᑮF4á6,0â,!ᑮ¤Ὺɦ¥¦ঝß
:Ö¿{FA2ÛᣚᑮFA3á6,0â,!ᑮ¤Ὺɦ¥¦ঞߥ:Ö¿{FµÛᣚᑮFA4á10ᖾ<=!ᑮ¤Ὺɦ¥¦টß:Ö¿{FA4ÛᣚᑮF4á10+12F0â,!ᑮ¤Ὺɦ¥¦ঠçèIÚ…ᑣß2021¤Ὺɦ¥¦Ḅ☢—.ூὃF௃IÚJFḄᙶ᪗.ூG⚪௃IÚJᳮ_.ëᫀ௃22021.ூᑖ᪆௃᪷A1á0,2âìß1¤Ὺɦ¥¦áᓽ¤Ὺɦ¥¦জâḄ☢᪷A2á6,0âìß2¤Ὺɦ¥¦áᓽ¤Ὺɦ¥¦ঝâḄ☢…íᳮ,ìIÚ!ª«.ூ௃♦.•F4á0,2â,.•.ß1¤Ὺɦ¥¦Ḅ☢=1X2X2=2,2VA(6,0),2.,•ß2¤Ὺɦ¥¦ḄῪ·3ï•=2ð,V2...ß2¤Ὺɦ¥¦Ḅ☢=2X2ᧇX2ᧇ=4=22,2VA(10,4&),4ß3¤Ὺɦ¥¦ḄῪ·310-6=4,.•.ß3¤Ὺɦ¥¦Ḅ☢=1x4X4=8=23,2ᑣß2021¤Ὺɦ¥¦Ḅ☢22021ᦑᫀ3:22°21.

18ஹ!"⚪(17-22⚪6ᑖ23-24⚪6ᑖ25ஹ26⚪6ᑖ,ᐳ72ᑖ)17ᑖx,-"+2=±.x-1x-lூὃF௃ᑖx,-.ூG⚪௃ᑖx,-öᵨ_.ூᫀ௃KL⚪ᑁNூᑖ᪆௃ᑖx,-÷ᑖøùᓄ3᦮x,-᦮x,-Ḅ!ᑮXḄ'()ᓽ!ᑮᑖx,-Ḅ.ூü2+2^^X-1X-1÷ᑖø!3+2(JC-1)=x,!x=-1,'()x=-1+,-Ḅ.ᡠX+,-Ḅ3x=-\.18^¤xÿ3.5x-3>2xூὃ௃ᐗ.ூ⚪௃ᐗ()ᵨ.ூᫀ௃12x,Bx>1,ᑣḄ'E1

19>4ூὃ௃xH-VgyᣚxH-styᣚ.ூ⚪௃xH⚪{|X}.ூᫀ௃(1)Ai(0,2)(2)~.ூᑖ᪆௃(1)ᑭᵨVgḄᙶ᪗ᱯᑏ#4ஹ&ஹGḄᙶ᪗(ᯠwᓽ;(2)ᑭᵨMNᱯstḄឋk#Aiஹ81Ḅᓽ.ூ௃(1)᝞H(]4BC1Eᡠx(AiḄᙶ᪗E(0,2)(2)᝞H(282clEᡠx.20᪥E᪥(ᜓᵨ¡¢£c(¤30¥20¥ᐳ◤8500ᐗ¤40¥10¥ᐳ◤8000ᐗ.(1)"$¥¨Nᑖ!E©ªᐗ«(2)¤¬᪥Ḅᦪ®¯ᦪ®Ḅ2°ª10¥(±ᵨ¡²³´Ḅµ¶·¸¹9000ᐗ(ᑣ¬᪥º©©ª¥«

20ூὃ௃»ᐗK¼ḄᵨᐗḄᵨ.ூ⚪௃K¼½¾ᵨᐗ½¾ᵨᵨ¿À.ூᫀ௃~Á⚪ᑁÃூᑖ᪆௃½1¾Ä$¥¨NRXᐗ($¥¨NRyᐗ(᪷*“30¥20¥ᐳ◤8500ᐗ¤40¥10¥ᐳ◤8000ᐗ”ᑡ#K¼i½2¾Ä¬᪥“¥(᪷*”¬᪥Ḅᦪ®¯ᦪ®Ḅ2°ª10¥(±ᵨ¡²³´Ḅµ¶·¸¹9000ᐗ”ᑡ#.ூ௃½1¾Ä$¥¨NRxᐗ($¥¨NRyᐗ(ᵫ⚪¿,B½30x+20y=8500l40x+10y=8000BÍ=150.ly=200$¥¨NR150ᐗ($¥¨NR200ᐗ½2¾Ä¬᪥஺¥(᪷*⚪¿(B150«+200½2a-10¾<9000.B“W20.¬᪥º©20¥.21᝞H(ᙠVÓÔOLA8C஺2(AE,CFᑖ!VᑖNOC8,ØYÙ8஺¡E,F."ÛBE=DF.ூὃ௃ᐰ;YLḄᑨ7ÞឋVÓÔOLḄឋ.ூ⚪௃©OLÞVÓÔOLᳮ.ூᫀ௃ᫀ~Ûà.ூᑖ᪆௃ᐜᵫVÓÔOLḄឋBᑮA8஻CQ,AB=CD,NBAD=NDCB,"B/ABE=/CDF,åÛAABE9]CDF½ASA¾,ᯠwᵫᐰ;YLḄឋᓽBᑮèé.ூ௃Ûà•.•ÔOLABC஺RVÓÔOL(J.AB//CD,AB=CD,NBAD=NDCB,

210.ZABE=ZCDF,\'AE,CFᑖ!Vᑖ/BA஺/QCB,ZBAE=^ZBAD,NDCF=LNDCB,220.ZBAE=ZDCE,.,.]ABEë]COì½ASA¾,0.BE=DF.22ᙠíîï᛻ñ½6ᨴ5ñ¾(ô᪥8õöï᛻÷ÀøÁ(ùú2ûüý/þᑖôÿḄᡂ᪵ᢥ“”""‘‘ᔠ"'‘ᔠ”ᑴ᝞!"#᦮Ḅ%⊤.()ᡂ⊤⚣ᦪ,-ᦪ.⚣᳛30ah0.45ᔠ240.20ᔠ120.10ᔠCI᪷8%⊤9:Ḅ;<=>!ᑡ@⚪:,1.⊤Da==b=,c=I,2.⊡ᐰᩩM%I,3.NO᪥ᨵ2400RSTUVW()X()ᡂᙠZ[,ᒹ].ḄST^ᨵ_`-a奴605448423630248260ூὃd௃ᵨ᪵XghI⚣ᦪ,᳛.ᑖj⊤IᩩM%.

22ூk⚪௃lᭆ᳛Iᦪ8ᑖ᪆op.ூ>ᫀ௃r)⚪=>ᑁtூᑖ᪆௃,1.᪷8ᔠḄ⚣ᦪu⚣᳛vZwxWyzḄ-ᦪᯠ|ᓽvxᑮ4ஹcḄI,2.᪷8,1.D6ḄvZᩩM%⊡ᐙ#᦮I,3.᪷8⚣ᦪᑖj⊤DḄᦪ8vZ()ᡂᙠZ[,ᒹ].ḄST^ᨵ_`-.ூ=>௃=,1.WḄSTᨵ244-0.20=120,-.“=30+120=0.25,6=120X0.45=54,c=120,ᦑ>ᫀ0.25,54,120I,2.ᵫ,1.-=54,⊡ᐰḄᩩM%᝞%ᡠ,3.2400X,0.45+0.25.=1680,-.>()ᡂᙠZ[,ᒹ].ḄST^ᨵ1680-.%ᡂ'ᩩ)*+,K6044842360002418X2604523᝞%MABCḄAB஺0Ḅᑗᑗd&AC¡ᙊ£0¤lᙊ¥¦§d஺ஹC,¡C¨CEJ_A8,¦ABḄ¬§d£,1.w¯CB°ᑖ/ACEI,2.*BE=3,CE=4,w஺஺Ḅ²³.ூὃd௃ᑗḄឋµ.

23ூk⚪௃¯¶⚪.ூ>ᫀ௃r)⚪=>ᑁtூᑖ᪆௃(1)¯¶᝞%1¹º஺8,ᵫA8஺஺Ḅᑗx»ᵫ§CELAB,ḄOB//CE§xᑮNl=/3,᪷8ῪMḄឋµxᑮNl=/2,½¡¾¿ᣚxᑮÁÂ.(2)᝞%2,¹º8஺½¡xᑮÃÄÅ&1⁠ᑡÇÈvxÁÂ.BCCEூ=>௃(1)¯¶᝞%1,¹º0B,ÉAB00Ḅᑗ0.OB1AB,'JCEA.AB,0.OB//CE,.♦.Nl=/3,'0OB=OC,Ê/1=/2AZ2=Z3,I.C8°ᑖN4CEI(2)᝞%2,¹ºBD,\'CE±AB,AZ£=90°,BC=ylBE2-KE2=V32+42=5'C£஺஺Ḅ¨³0.NDBC=90°,0.NE=NDBC,0./\DBC^/\CBE,•CDBC••ÎÊBCCE0.Be=CDCE,44

240c=[CD=^"Zo.♦.ooḄ²³=2Ð.,124᝞%ᙠ°☢¨ᙶ᪗ÔxOyDÎWÕᦪ>=×+஻Ḅ%ÙlÚÃÄÕᦪÛÜḄ2x%Ù¥¦§A,BÝdÞdAḄᙶ᪗(ß6).(1)wOÎWÕᦪḄ=᪆Å;(2)wáAOBḄ☢â.ூὃd௃ÚÃÄÕᦪlÎWÕᦪḄ¦d@⚪.ூk⚪௃ÎWÕᦪãᐸåᵨIÚÃÄÕᦪãᐸåᵨIåᵨæç.ூ>ᫀ௃r)⚪=>ᑁtᑖ᪆௃(1)᪷8ÚÃÄÕᦪy=è2vxdAḄᙶ᪗é4(2,6)¿ᐭÎWÕᦪx2DvxᓃḄìíxÎWÕᦪḄ=᪆Å;(2)ᑭᵨ☢âuvxá403Ḅ☢â.ூ=>௃=(1)᝞%

25•.•dA(a,6)ᙠÚÃÄÕᦪy=è2Ḅ%Ù[,X6஺=12,2,A(2,6),éA(2,6)¿ᐭÎWÕᦪy=3x+bDx—x2+b=6,22I.b=3,,OÎWÕᦪḄ=᪆Åy=Zr+3I2(3y=7x+3r=-4fx=2x2ফᵫ1xIy[M=-3|y=62x0.B(-4,-3),×x=0ðy=3,ᓽ0C=3,,AOBḄ☢â=SAACO+SABCO=X3X2+yX3X4=9.25᝞%Îñòᢝᒹᐸôõᵫö÷øᑖஹᓫ÷øᑖuy⁚ᡷ᪀ᡂ.ßýᵨ|þÿ
⁚ᡷᡈᓫᑖḄḄ(ᓫᑖᑖḄᐸ⁚ᡷᡠᓰḄᶍ!)ᡈ.$ᓫᑖḄ%xcm,ᑖḄ%)஺'()*+ᑮ᝞.ᦪ01ᓫᑖḄx(cm)46810.ᑖḄy(c/n)…73727170(1)34yᐵ6xḄ7ᦪ8᪆:;3?(2)᪷0'AḄBCDEḄ%120a*=FGᩭIᔠ〉L34M=ᓫᑖḄ;(3)$Ḅ%1cm,3/ḄP>R.

26ூὃV௃XY7ᦪḄZᵨ.ூ\⚪௃Zᵨ⚪?XY7ᦪ^ᐸZᵨ?_`ab?cᳮab?Zᵨef.ூgᫀ௃(1)y=+75,yḄ>%0?2(2)90cm?(3)75W/W150.ூᑖ᪆௃(1)wx⊤z{y|xḄXY7ᦪ$~="+ᑭᵨᦪᓽ8⚪?\+y=120(2)ᑡ411,ᓽ8⚪?y=-^x+75(3)ᵫ⚪e27(3)ᵫ⚪e+l—x+y—x--kr+75=ir+75,22%0WxW150,ᡠ75WL+75W15O,2ᓽ75W/W150.26᝞ᙠ¢£4BCCAB=3cm,BC=4cm.$¦஺ᑖ§%BQ,BC©ḄªVᙠVP¬V஺஺Bᔣ¯ᒴ±²ªḄ³=V஺¬V8BCᔣᔣVC¯ᒴ±²ª²ªḄ±ᙳ%lc%/s,$P஺²ªḄ=¸%¹(0ீ»4).(1)ᑏ4½P8QḄ☢¿S(cm2)=¸r(s)Ḅ7ᦪᐵ:=Sᨵᨬᜧ>ᨬᜧ>|ÅÆÇ(2)<1%Â>=½PB஺%ÈῪÊË£ÇூὃV௃ÌY7ᦪḄᨬ>?ÈῪÊË£Ḅᑨ1ÎÏᳮ.ூ\⚪௃ÌY7ᦪḄZᵨ?Zᵨef.ூgᫀ௃(1)?.S=(LÐ)Ç+ÑḂÑÔ1102828(2)r="ᡈÕᡈÖ.21313ூᑖ᪆௃(1)VP¯PACLBC,ᚖOM,ØÙ+ᑮ᪷0ÚÛÜÝ34PMḄ+ᑮᵨ⊤ß☢¿Ḅ7ᦪ8᪆:à3ᨬᜧ>?(2)ᑖÊáâãäåÊË£P8Q%ÈῪÊË£ᓽBQ=P஺8P=PQ,àᑖ§3fḄ>.BO=22=22=5,ூ8g௃81(1)¢£ABC஺VAB+ADV3+4Vᚖè%M,

28./\BPMs2BDC•5-tPM•---------,53.•.PM=W(5-r),5.•.sTxfxg(5-r)=--1"(X$)2+ὡ251028<ᱏë=sᨵᨬᜧ>ÑÔ?28(3)জ,ᚖè%E,22:.ABQEs^BDC5~t...îᓽ2BCBD45.=2513ঞ

29.ð="ᡈñᡈᳮ_ᙳ½PBQ%ÈῪÊË£.21313'

30