2022年四川省德阳市中考数学试卷（解析版）

《2022年四川省德阳市中考数学试卷（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。

2022
ḕ□ὃᦪᔁஹ⌱⚪ᜧ⚪ᐳ12⚪⚪4ᑖᐳ48ᑖᙠ⚪Ḅ
⌱⚗,ᨵ"#ᨵ⚗$%ᔠ⚪'⌕)Ḅ.+1.4ᑖ+-2Ḅ123$+A.-2B.2C.±2D.-A22.4ᑖ+9ᑡ;<=$>2?;<@$A2?;<Ḅ$+B.I__L_■U3.4ᑖ+9ᑡDEFGḄ$+A.a-b2=a2-b2B.
-12=1C.a-^a9—=aD.-VW+3=-X/366a264.4ᑖ+᝞;JK஻2஻஻Zl=100°Z2=30°,[UN3=+JA.70°B.110°C.130°D.150°5.4ᑖ+9ᑡ`abcdᯠ`aḄ$+A.fghijF☢lmB.nᜩp□qrsᓣuC.vwxyz{|⍗ᑮxzD.“ᜮஹᑐஹ”j2sᑐ

16.4ᑖ+ᙠ᪥Ḅᱥᐶ7᤺ᑮxḄᓫkgᑖ$5,9,5,6,4,5,7,ᑣ¢ᦪ£Ḅ¤ᦪ¥ᦪᑖ$+A.6,6B.4,6C.5,6D.5,57.4ᑖ+¦᪥§¨2©ᩰ«¬¥┦¬ᑮ᪥ḄJK¯°ᑖ$5km¥3km.±²ᩰ«┦³¬ḄJK¯°´µ¶$+A.IkmB.2kmC.3kmD.8km8.4ᑖ+ᙊ┵Ḅ¹☢Jº$8,»K¼$9,ᑣᙊ┵½☢;Ḅ☢¾$+A.16nB.52TTC.36TED.72n9.4ᑖ+¿Àᦪy=ax+lÁÂÃÄÀᦪy=-3•ᙠᙶ᪗ÈḄᜧÉ;Ê$+10.4ᑖ+᝞;ᙠ
Ë

211.4ᑖ+᝞ÕᐵcxḄsØx
=1ḄÙ$Fᦪ±²᪷ḄÛ3Ý$+x-lA.m>-\B.Þ>-1"Þ¥0C.m<-1D.-1"#-212.4ᑖ+᝞;ÌE$aABCḄᑁ>AEḄã¼K¥aABCḄ᜜åᙊæçcÌ஺Á8CæçcÌG,ᑣ9ᑡêë®ZBAD^ZCADঝíNBAC=60°,ᑣNBEC=120°îঞíÌGðBCḄÌᑣN8GO=90°î®BD=DE.ᐸôFGḄᦪ$+õஹö÷⚪ᜧ⚪ᐳ6⚪⚪4ᑖᐳ24ᑖøùᫀöᙠù⚪ᓱ2üḄ⚪ýþḄÿ
13.4ᑖᑖco2-a—.14.4ᑖ᪥ᱥᳮᢈᔜ⚗ᡂ"ᙳᢥ%ᑖᑴ'ᯠ)ᢥ᯿ᳮ+,-ᓰ20%,2'ᓰ50%,4567ᓰ30%'8⌱:Ḅ<ᔠᡂ"%ᑖᑴ.>?@AḄᔜ⚗ᡂ"ᑖBCᳮ+,-85ᑖ2'88ᑖ456790ᑖFGH?Ḅ<ᔠᡂ"Cᑖ.15.4ᑖI,x+y2=25,x-y2=9,ᑣO=.16.4ᑖ᝞RSTUTVABCZᱏ\ZACB=90°,]஺CAB_
Ḅ\]`aCD,bcACQeCOᢚh]Aiᙠ]EᜐmnាpᨵCELAB.CB=l,FG17.4ᑖtuvḄwxyz{|}᦮ᦪᐭḄẆᐸVᦪḄᐵ“_Vᦪ”“Vᦪ”CVᦪḄaᔠᱥ.ᵨ]᣸ᡂḄRV᝞:

3জঝঞটᐸ\RজḄ]ᦪUTVᦪ
UTVᦪC1,UTVᦪC1+2=3,UUTVᦪC1+2+3=6,……RঝḄ]ᦪ¢£Vᦪ
¢£VᦪC1,¢£VᦪC1+3=4,U¢£VᦪC1+3+5=9,……ᵫm¥¦Rট\¨¢©_VᦪC.18.(4ᑖ)᝞R«,]A(-2,3),B(2,1),Sy=Ax+஽®]P(-1,0).¯°S±ABᨵ²]n”Ḅ³ᓄµ¶·¸kḄ¹º¼C_____.Uஹ¿⚪(@ᜧ⚪ᐳ7Ä⚪ᐳ78ᑖ.¿ÅᑏÇᦻÉÊËஹÌË®Íᡈ¦ÏÐÑ)19.(7ᑖ)'8V12+(3.14-n)0-3tan60°+|1-V3I+(-2)220.(12ᑖ)ÒÓÔ□Ö×ØÙÚÔ□ÛÜÝÞßàËáᡂᓄâãËäᐷæçèéê◖¨ᓝâíß.ᙠîᨵïðßñḄnòÔ□ÛÜÝSóôḼ“ö÷øᙠùúᜮ”Ḅᦑý.1971âẚÿ
.ᙠḄὁḄᑴ200512ᨴ27ẚ2007ᐗᡂᙶ!"#$%&'()*ᐝ,-./0☘2!34ᐝ56789:;<ᡂ8=>?@ḄᡭᓱCᙢ.E᪥ᦪEᐶIJKᙠLM“ᦪEOPQ”STUVWXY“[\[]^”_⚪abUcabd⚪ef8“ghYi”ஹ“klYi”ஹ“mnYi”ஹ“opYi”qr.s>tuvwxᑖz{WXdᔁab}c~ᑴᡂY᝞

41:“[\[]^”ᩩ2“[\[]^”ᡧ1endᔁabᐳvwY"z{2V“opYi”ᡠᡧḄᙊ“ᑖᑏ஻Ḅ;2᪷£¤¥ab~ᙠ12000z{V§“ghYi”Ḅ=ᦪᨵ]^©38W«¬®abz{[\¯°Ḅᐹ²³´ᐶIKµᜓ·▬¹Ḅ3ᵱ»¼2᝕»Vtuvw2=WXab¾ᵨᑡÁÂ᪛Äᡈᑡ⊤ÇាÉvᑮ«ᵱ«᝕Ḅᭆ᳛.21.11ᑖ᝞«Íᦪy=-m+1OÓkÔÍᦪy=KḄÖᙠ×ØÖ▲ÚÛ4,2xÞÛAḄàᙶ᪗8-2.1ÇÓkÔÍᦪḄi᪆ã.2ÛBḄᙶ᪗-3,0,åÛPᙠç¥ÞèAOPḄ☢ëOèAOBḄ☢ëì,ÇÛPḄᙶ᪗.22.11ᑖ᝞ᙠí48C3Vð4BC=60°,AB=2ócm,õÛ஺÷BCḄᚖù,ÚBCḄúûùÛ”.ÛF·ÛBüýBDþᔣ2cmisᔣDᒴEHHDᔣlendsᔣDᒴ.E,FḄ“ᓫ:s,0<7<3,!/#FG_LBC*G,+,EF.-1/01234EFGH6748-2+,:C,EC,%ஹF,Eᙠ!=>48:CAB£>-?£6ᔲGHᐰJKLG/

5MfḄO8LPGQRSᳮᵫ.BGCn23.(11ᑖ)YZ[\]^_`ab᩟dᐶᡊᶍ#h⌕ᢣklm1`ab᩟dᐶᡊᶍ6nḄᓝpᜧ#Ḅhᜧrstu6vwxy“z{”}#Ḅ\ᢕ.ᱯ⁐᩟4000ᐗ>A᪛5008᪛400B᪛ᓫ6A᪛ᓫḄ1.25.(1)/Aஹ8᪛Ḅᓫᑖ6ᐗK(2)᩟r᪵Ḅ᪛100ᵨ*⊡ᐙ¤ᐸ>4᪛P*25ᙠᓫP¦\ᵨP§!480ᐗḄ¨©ªᐳᨵᫀK¯ᫀᵨᨬ±Kᨬ±ᵨ6ᐗK24.(12ᑖ)᝞³AB6஺஺Ḅµ¶CD6஺OḄ¹ABA.CD,ᚖ»6H,!C#µ¼ᑖAAB,ADḄ½¾¼¿*E,F,NECO=2NBAD.(1)/01CF6஺஺Ḅᑗ¼8(2)᝞ÃAB=10,CD=6,জ/AEḄ¾8ঝ/BAEFḄ☢Ç.25.(14ᑖ)Èᱥ¼ḄÊ᪆Ì6y=-f+4x+a.µ¼y=-x+2AxÒ¿*M,AுÒ¿*E,:Aµ¼ÕḄG(5,-3)ᐵ*xÒ_×.(1)᝞³জ/ؼMFḄÊ᪆Ì1

6(2)ᙠ(1)ḄᩩÚªÛÈᱥ¼Aᢚ¼EMFᨵÝ¿Ý¿ḄÞᙶ᪗6xiX2(X|/XI+X2ḄO8(3)᝞³ঝÛÈᱥ¼å!C(0,5),ᑖAxÒ¿*4,3Aᙠ8Ḅæç.ᙠxÒÕḄÈᱥ¼ÕᨵèP,ؼAPAµ¼y=-x+2¿*N./êḄᨬᜧO.AN

72022ë2ìḕî□ð>ὃᦪóôᔁὃᫀ⚪᪆èஹ⌱÷⚪-ùᜧ⚪ᐳ12Ýú⚪ûú⚪4ᑖᐳ48ᑖᙠûú⚪üḄ2Ý⌱⚗>ᨵþᨵè⚗6ÿᔠ⚪⌕Ḅ.1.4ᑖ-2ḄA.-2B.2C.±2D.-A2ூᑖ᪆௃᪷ᦪḄḄᦪᫀ.ூ௃-2Ḅ2.ᦑ⌱B.ூ"#௃$⚪%⌕ὃ'Ḅ()*+,-./0ᦪḄ$12./ᦪḄḄᦪ20Ḅ0.2.4ᑖ3ᑡ567879:56;<:56Ḅூᑖ᪆௃᪷79:56=<:56Ḅᭆ?@AᑨCᓽ.ூ௃E879:56F<:56ᦑG⌱⚗Iᔠ⚪J2B.K79:56<:56ᦑG⌱⚗Kᔠ⚪J2C.K79:56<:56ᦑG⌱⚗Kᔠ⚪J2D.79:56K<:56ᦑG⌱⚗Kᔠ⚪J2ᦑ⌱A.ூ"#௃$⚪ὃ'Ḅ79:56=<:56Ḅᭆ?.<:56ḄᐵMNO:<56PQᑖᢚSTUᔠ79:56⌕NO:79VW180XT=Y1Uᔠ.

83.4ᑖ3ᑡ\]0^ḄA.«-b2—cP-b2B.Q_]e=[C.a-i-a*——aD.-jk3=-1mᡝa26ூᑖ᪆௃᪷ᑖrḄs◀u]vwx᪷yḄsx=zḄsx{ᐰwx}r@A\]ᓽ@AᑨC.ூ௃A.a-b2=«2-2ab+b2,ᦑA⌱⚗┯KIᔠ⚪J2M-i2=a=iᦑB⌱⚗0^Iᔠ⚪J2C.1X=jᦑC⌱⚗┯KIᔠ⚪J2aaaD.-1ᡝ3=_ᦑ஺⌱⚗┯KIᔠ⚪J.28ᦑ⌱B.ூ"#௃$⚪ὃ'ᑖrḄs◀u]vwx᪷Ḅsx=zḄsx{ᐰwx}r,$⚪ḄᐵM@A\].4.4ᑖ᝞5஻?஻“/1=100°,/2=30°,ᑣN3=A.70°B.110°C.130°D.150°ூᑖ᪆௃ᵫPwA¢£¤¥ᑮ/5=100஺§᪷¨¤6Ḅ᜜¤ឋ«ᓽ.ூ௃᝞5:

91m•.•m஻஻Nl=100°,®/5=/1=100°,VZ3=Z4+Z5,Z4=Z2=30°,.••Z3=30°+100°=130°.ᦑ⌱C.ூ"#௃G⚪ὃ'wAḄឋ«¯wAḄឋ«(ᳮᓽ¨¤6Ḅ᜜¤ឋ«⚪ḄᐵM.5.4ᑖ3ᑡ±²7³´µᯠ±²ḄA.·¸¹º»0☢½B.¾ᜩÀ□ÂÃxᓣÅC.ÆÇÈÉÊËÌ⍗ᑮÈÊD.ΓÏᜮஹÒᑐஹÔ”Ö×»xØ“Òᑐ”ூᑖ᪆௃᪷±²ÙÚḄÛឋᜧÝᑨCᓽ.ூ௃Aஹ·¸¹º»0☢½Þß±²KIᔠ⚪J28ஹ¾ᜩÀ□ÂÃxᓣŵᯠ±²Iᔠ⚪J2CஹÆÇÈÉÊËÌ⍗ᑮÈÊÞß±²KIᔠ⚪J஺ஹΓÏᜮஹÒᑐஹÔ”Ö×»xØ“Òᑐ”Þß±²KIᔠ⚪J2ᦑ⌱B.ூ"#௃$⚪ὃ'Ḅµᯠ±²ஹKÛ±²ஹÞß±²Ḅᭆ?.µᯠ±²ᢣᙠ.(ᩩ²3.(ÙÚḄ±².KÛ±²ᢣᙠ.(ᩩ²3.(KÙÚḄ±²K^(±²ᓽÞß±²ᢣᙠ.(ᩩ²3ÛÙÚFÛKÙÚḄ±².6.4ᑖᙠã᪥åæḄçèéêëè7ÚᱥᐶîÝï7/¢ãð᤺ᑮòÈóḄ«ôᓫ,-kgᑖö5,9,5,6,4,5,7,ᑣ÷ïᦪḄøᦪù7£ᦪᑖöA.6,6B.4,6C.5,6D.5,5

10ூᑖ᪆௃᪷7£ᦪஹøᦪḄ()@Aᓽ.ூ௃÷ïᦪ7ØúûᦪᨬýḄ5,ᐳØú3ûÿ
ᦪ5,ᦪᑮᜧ᣸ᑡ4ஹ5ஹ5ஹ5ஹ6ஹ7ஹ9,ᜐᙠḄᦪ5,ᦪ5,ᦑ⌱D.ூ#$௃&⚪ὃ)ᦪஹ
ᦪ*ᳮ,ᦪஹ
ᦪḄ-.,/0⚪Ḅᐵ2.7.54ᑖ789᪥;<=2?9@ᩰBCDE┦Cᑮ9᪥ḄGHIJᑖK5kmD3km.LMᩰB*E┦NCḄGHIJOPQ57A.\kmB.2kmC.3kmD.8kmூᑖ᪆௃᪷XYZḄX[ᐵ\]ᑮE┦NCḄH^Ḅ_`b*ᓽP]ᑮ⌱⚗.ூ,e௃,fᩰB*E┦NCᙠᩩGHhi*ᩰB*E┦NCḄGHIJj2ᑗ?ᡈ8km,fᩰB*E┦NCOᙠᩩGHhi*nE┦NCḄGHIJjX,᪷XYZḄX[ᐵ\]5-3VXV5+3,ᓽ2

11ூ#$௃&⚪ὃ)Ḅ*ᡧZ☢Ḅ*}~ஹᡧZ☢Ḅ§¨Ḅᐵ2.9.4ᑖ7©ªᦪy=ax+l«¬®ªᦪy=¯ᙠ°ᙶ᪗\Ḅᜧ³´57ூᑖ᪆௃᪷©ªᦪ«¬®ªᦪ´Ḅᱯ#*P¢஺·0,D஺¸0,N¹☢ᑖº»¼]eᫀ.ூ,e௃,ᑖN¾¿À1
f஺·0,i*©ªᦪ7*=Á+1Ḅ´ÂÃஹÄஹX´▲*¬®ªᦪ7*=-Æx´ᙠÃÄஹÇ´▲*È⌱⚗ÉᔠË2
f“0,i*©ªᦪy=nx+lḄ´ÂÃஹÄஹÇ´▲*¬®ªᦪ7*=-ᒹX´ᙠÃஹX´▲*ᦑ8⌱⚗§¨.ᦑ⌱B.ூ#$௃&⚪Í⌕ὃ)z¬®ªᦪḄ´ឋÐD©ªᦪḄ´ឋÐ*⌕}~ÑÒḄឋÐÓQᮣÕ,⚪.10.4ᑖ7᝞*ᙠÇ[ZABCD*#E,F,G,HᑖKAB,BC,CD,D4[hḄ#*ᑣÖᑡ×¼-§¨Ḅ57

12cA.Ç[ZEFG”ØZB.Ç[ZEFGHḄᑁYDÚÇ[ZABCDḄᑁYDC.Ç[ZEFGHḄᕜÜÚÇ[ZABCDḄÝYHÞßDD.Ç[ZEFGHḄ☢ÜÚÇ[ZABCQḄ☢Ḅà4ூᑖ᪆௃᪷XYZH-ᳮP]Ç[ZEáG”âÇ[Z*ã⌲ᑨæᓽP.ᙠÇ[ZABCQ*•.•#E,F,G,HᑖKA8,BC,CD,OA[hḄ#*-.EH//BD,EH-BD,FG//BD,FG=LD,22-.EH//FG,EH=FG,Ç[ZEFGHâÇ[Z*ᦑA⌱⚗┯éËB.Ç[ZEFGHḄᑁYDÜÚ360°,Ç[ZABCOḄᑁYDÜÚ360°,ᦑB⌱⚗┯éËC.•.•#E,F,G,HᑖKAB,BC,CD,D4[hḄ#*:.EH=LBD,FG=LBD,22-.EH+FG=BD,°ᳮEF+HG=AC,Ç[ZEFGHḄᕜÜÚÇ[ZABCQḄÝYHÞßD*ᦑC⌱⚗§¨ËD.Ç[ZEFGHḄ☢OÜÚÇ[ZABCDḄ☢Ḅà*ᦑD⌱⚗┯é.ᦑ⌱C.

13ூ#$௃&⚪ὃ)z#Ç[Z*ØZḄᑨ-*,/&⚪Ḅᐵ2}~XYZH-ᳮ.11.54ᑖ7᝞êᐵÚxḄ¹ëìí=1Ḅ,§ᦪ*LM᪷Ḅ_`b57xTA.m>-1B.m>-1¯mWOC.m<-1D.m<-1¯mW-2ூᑖ᪆௃ᐜðᑖᑖ¹ëᓄᡂ᦮¹ë*¹ëḄ,x=-1-ô*ᑭᵨx>0DxWl]OÜ*,OÜᓽPúḄb.ூ,e௃,N[°iû5X-17]*2x+m—x-1,,]x=-1-m,ü•,¹ëḄ,§ᦪ*¯xWl,.Jx>0,ᓽþIQ஺,I11n<-l,.'.inḄm<-1-2.ᦑᫀD.ூ௃⚪⌕ὃ"#ᑖ%&'Ḅ()ᐗ)+,-%(./0ᑖ%&'Ḅ1ὃ⇋345᪷Ḅ789⚪Ḅᐵ;.12.4ᑖ=᝞?(E9AABCḄᑁE(AEḄFGHIaABCḄ᜜LᙊNOP஺(Q8cNOPG,ᑣVᑡXYজঝ\/B4C=6O°,ᑣ/8EC=12O°bঞ\GBCḄd(ᑣN8GD=9O°bটBD=DE.ᐸd)i./Ḅjᦪ9=ூᑖ᪆௃ᑭᵨop8ᑁEḄឋrᑮᑣtuজvwᑨybzLᑭᵨop8ᑁEḄឋruঝvwᑨyb᪷{ᚖ}iᳮᑣtuঞvwᑨyb/Z=EB=/OBEᑮDB=DE,ᑣtuটvwᑨy.

14ூ௃94BCḄᑁE,ᑖNBAC,-.ZBAD^ZCAD,ᦑজ./;᝞?(LBE,CE,VZBAC=60°,-.ZABC+ZACB=\20°,/BEC=180°-/EBC-/ECB=180°-A(ZABC+ZACB)=120°ᦑঝ./;2,/ZBAD^ZCAD,BD=DC--.ODLBC,•.•GBCḄd(b.G)iᙠOO(-.ZBGD=90°,ᦑঞ./;᝞?(LBE,-.BEᑖNABC,NABE=NCBE,'-/DBC=/OAC=ABAD,

15(NDBC+NEBC=NEBA+NEAB,-.ZDBE=ZDEB,-.DB=DE,ᦑট./.,)i./Ḅজঝঞট(ᐳ4j.ᦑ⌱D.ூ௃⚪ὃ"#op8ḄᑁᑗᙊQᑁE(ᙊᕜpiᳮ(op8Ḅ᜜LᙊQ᜜E(⚪Ḅᐵ;9op8ḄᑁEQ᜜E.ஹ⚪(ᜧ⚪ᐳ6j⚪(⚪4ᑖ(ᐳ24ᑖ(ᫀᙠ⚪ᓱuḄ⚪ḄH)13.(4ᑖ)ᑖ£%ar2-a=a(x+1)(x-1).ூᑖ᪆௃ᐜ¨©£%a,ªᑭᵨ&«©%vw+ᑖ.ூ௃ar2-a,=a(x2-1),=a(x+1)(x-1).ூ௃⌕ὃ"¨©£%¬ᑖ£%Iᑭᵨ&«©%ᑖ£%(ᑖ£%⌕®(zᑮ,¯ªᑖ°.14.(4ᑖ)±᪥³wᱥᳮµᢈ·¸¹º(ᔜ⚗ᡂ¾ᙳᢥÁᑖᑴÃ(ᯠᢥ᯿ᳮYÆÇᓰ20%,·¸ËÃᓰ50%,ÍÎÏÐᓰ30%ÃÑ⌱ÒḄÓᔠᡂ¾(Áᑖᑴ).ÕÖ±+¹ºḄᔜ⚗ᡂ¾ᑖ×9ᳮYÆÇ85ᑖ(·¸ËÃ88ᑖ(ÍÎÏÐ90ᑖ(ØÙÚÖ±ḄÓᔠᡂ¾988ᑖ.ூᑖ᪆௃᪷{ÛᩗᙳᦪḄÃÑ&¬vwÃÑᓽt.ூ௃85X20%+88X50%+90X30%=88(ᑖ)(ᦑᫀ88.ூ௃⚪ὃ"Ûᩗᙳᦪ(ᳮÛᩗᙳᦪḄiß(ÛᩗᙳᦪḄÃÑ&¬9./Ḅᐵ;.15.(4ᑖ)àÆ(x+y)2=25,(x-y)2=9,ᑣxy=4.ூᑖ᪆௃àÆâ%ãäᑭᵨåᐰ&©%Ïç(Nèᓽt0éᑘḄ.ூ௃(x+y)2—x2+y1+2xy—25,(x-y)2=x2+>,2-2xy—9,â%Nè4xy=16,ᑣxy=4.

16ᦑᫀ4ூ௃ì⚪ὃ"#åᐰ&©%(íî©%9⚪Ḅᐵ;.16.4ᑖ=᝞?(zpop8ABCïᱏd(N4C3=90°,஺9A3äḄd(XCD,AC£
ñC஺ᢚó(AôᙠEᜐ(ìöាøᨵCB=1,ØÙூᑖ᪆௃᝞?(ËCEOA8PO./4஺஺=/஺஺=/8஺£=30°,0éCO,஺஺=0,tXY.:CD=AD=DB,-.ZA=ZACDfᵫüᢚḄឋrtÆZACD=NDCE,•;CE

17'-DOA.CE,(C0=0E=X2_,2-.CE=yf3.ᦑᫀ,'/s'ூ௃⚪ὃ"üᢚþᣚ
ῪḄឋ
⚪Ḅᐵᮣᵨᡠ
⚪ὃὃ⚪.17.(4ᑖ)"#$Ḅ%&'()*+᦮ᦪ./01ᐭḄẆ45ᐸ789ᦪḄᐵ:“<=ᦪ”?@A“ᦪ”B9ᦪḄCᔠᱥ.ᵨF᣸ᡂḄI᝞KLᐸLIজḄFᦪNOᦪPQRKSTUᦪ1,SVUᦪ1+2=3,SUᦪ1+2+3=6,……IঝḄFᦪNOXYᦪPQRKSTUXYᦪ1,SVUXYᦪ1+3=4,SUXYᦪ1+3+5=9,……ᵫ[\]IটS_UX`=ᦪ45.ூᑖ᪆௃᪷fgUIḄhᓄjklmᓽo
⚪.ூ
p௃
LIজḄFᦪNOᦪPQRKSTUᦪ1,SVUᦪ1+2=3,SUᦪ1+2+3=6,……IঝḄFᦪNOXYᦪPQRKSTUXYᦪ1,SVUXYᦪ1+3=4,SUXYᦪ1+3+5=9,……IঞḄFᦪNO_=ᦪPQRKSTU_=ᦪ1,SVU_=ᦪ1+4=5,SU_=ᦪ1+4+7=12,......ᵫ[\]IটS_UX`=ᦪ1+5+9+13+17=45.ᦑpᫀAL45.ூFt௃u⚪ὃv0lmLIḄhᓄ\ᦪ
⚪Ḅᐵkwhᓄlm.18.(4ᑖ)᝞IxFA(-2,3),8(2,1),yz{FP(-1,0).|}

184Ly9y~ABᨵFkḄhᓄḄZ-3ᡈூᑖ᪆௃ᑭᵨyPAPBḄ
᪆ᓽowC.ூ
p
L&<0¤yy=fcr+/z{FP(-1,0),A(-2,3),:.-2k+k=3,-.k=-3¤:.kW-3¤&>0•..y>=+4z{F´(-1,0),B(2,1),-.2k+k=\,3Q¤3µQy9y~A8ᨵFḄLZW-3ᡈQ¸Q.3ᦑpᫀALZW-3ᡈ¸Q.3ூFt௃u⚪¹⌕ὃv0T»¼ᦪI½9:ᦪḄᐵ:T»¼ᦪI½QFḄᙶ᪗ḄᱯÁ,ᑭᵨÂÃ:ᦪw
⚪Ḅᐵ.ஹ
p⚪(uᜧ⚪ᐳ7È⚪ᐳ78ᑖ.
pÉᑏwᦻÌÍÎஹÏÎ{Ðᡈ]ÑÒÓ)19.(7ᑖ)ÕÖLV12+(3.14-TT)°-3tan60°+|1-Þ|+(-2)2ூᑖ᪆௃ᑭᵨßᢣᦪáâ᦮ᦪᢣᦪáᱯãḄ¼ᦪᓽo
⚪.ூ
p௃
Lä=2å+1-3X⍩+è-1+A4=2å+1-373+73-1+—

19=7-ூFt௃u⚪ὃv0éᦪḄÖßᢣᦪáâ᦮ᦪᢣᦪᘤᱯãḄ¼ᦪ
u⚪ḄᐵᑭᵨëQìíÕÖ.20.î12ᑖïfðñ□óô¸õöñ□÷øùúûÎüᡂᓄýþÎÿᐷ◖ᓝ.ᙠᨵḄ□!Ḽ“$%&ᙠ'(ᜮ”Ḅᦑ,.1971ẚ123456.7ᙠḄ8ὁḄ:ᑴ<=200512ᨴ27BẚCDE2007ᐗGHᡂᙶHKLMNOPQRSTᐝVWXYZ☘\M]^ᐝ_`abcdefᡂbghijḄᡭᓱmᙢ.o᪥ᦪoᐶstuᙠvw“ᦪox!y”z{|D}~“”⚪|D⚪b“”ஹ“”ஹ“”ஹ“”1.hᑖ¡~ᔁ£¤¥¦ᑴᡂ᝞¨©ª«¬®1®“"ᩩ±«¬2®“”ᡧ±«¬³1´4ᔁᐳ¶·¡2}''”ᡠº»ᡧ±Ḅᙊ½¾8஻ÀᑖÁᑏÃÄ஻ḄÅX³2´᪷ÇÈɤ¥ᙠ12000·¡}ʬ“”Ḅgᦪᨵ˳3´b~ÍÎÏ¡ºÐÑḄᐹÓÔÕᐶsuÖᜓØ▬ÚḄ3·ᵱÜÝ2·᝕Ü}2g~ßᵨᑡâã³᪛åᡈᑡ⊤´èាêᑮᵱ᝕Ḅᭆ᳛.ூᑖ᪆௃³1´ᑭᵨ⊤òóôᓽöX³2´ᑭᵨ«¬Ḅ÷ãᵨ᪵ḄᱯឋʬûÓḄÄ»ᱯឋᓽöX³3´ᑭᵨᑡ⊤ãôᓽö.ூô௃®³1´ᵫ³1´ö®“”Ḅgᦪb40gᵫ³2´ö®“”ḄgᦪᓰûᦪḄ20%,/.w=404-20%=200A;

20ᵫ1“”ᨵ100A,“”ᡠᡧḄᙊ#$%180°,ᵫ2“()”ᡠᡧḄᙊ#$%“=360°X50%-20%-28%=7.2/02ᵫ2“12”Ḅ3ᦪᓰ63ᦪḄ28%,7%89ᙠ12000;<=>?''12”Ḅ3ᦪᨵ12000X28%=33603.Aᙠ12000;<=>?89“12”Ḅ3ᦪᨵ33603.3B3;ᵱDE2;᝕D>GHIJ23KLMN?INOPᑡ⊤᝞TXXXYYXXXXXXYXYXXXXXXYXYXXXXX\XYXYYXYXYXYYYYXYXYXYYYᵫU⊤?Vᐳᨵ20XYZ?ᐸ>ា]IᑮVᵱV᝕ḄOPᨵ12X?.•.ា]IᑮVᵱV᝕Ḅᭆ᳛b22=3.205ூde௃g⚪i⌕ὃNMNlmᦪnḄopEqr?ᵨ᪵g896uḄv9qr?ᡧv9?ᩩv9?ᵨᑡ⊤rxyzḄᭆ᳛?{|}~v9Ḅqr%⚪Ḅᐵ.21.11ᑖ᝞?Vᦪy=-Mr+1ᦪy=KḄᙠ▲7dA,2xdAḄᙶ᪗b-2.1xᦪḄ᪆02dBḄᙶ᪗%-3,0,dᙠyU?4OPḄ☢¡AOBḄ☢¡¢Y,xdPḄᙶ᪗.

21ூᑖ᪆௃(1)✌ᐜ§¨dAḄᙶ᪗?©ᑭᵨ«¨¬ᦪrxkᓽ0(2)¯P(0,/»),᪀±qpx.ூA²(1)•••Vᦪy=+1ᦪy=KḄᙠ▲7dA,2xdAḄᙶ᪗b-2,³x=-2´?y=--X(-2)+1=4,2A(-2,4),-2:.k=-8,ᦪḄ᪆b-µx(2)¯P(0,¶)?AOPḄ☢¡AOBḄ☢¡¢Y?.\AX|ZM|X2=AX3X4,22•♦஻?=±6,-.P(0,6)ᡈ(0,-6).ூde௃g⚪ὃNᦪḄឋº?VᦪḄឋºY»?⚪Ḅᐵ%}~«¨¬ᦪr?¼7>ὃ2ὃ⚪½.22.(11ᑖ)᝞?ᙠ¾ABCZ)>?ZABC=60°,od஺ÀBCḄᚖÂ,3CḄÃÄÂ7dH.dFBd8ÅÆ8஺qᔣÈ2aMsᔣd஺ᒴÊËÌ?Í´?dEBdHÅÆHDqᔣÈIcm/sᔣ%DᒴÊËÌ.¯dE,FḄËÌ´Îb“ᓫÐ:s),0<7<3,oÀFG_LBC7dG,ÒÓEF.(1)xÔÕÖEFG஻%×0

22(2)ÒÓ/C,EC,d?EᙠËÌop>?BFC£>(7£%ᔲZÞᐰYàZ?xá´?Ḅâ0(Z?ãäåᳮᵫ.ூᑖ᪆௃(1)᪷nèLÂḄᑨ¨¨ᳮêᑮEH஻G,ᵫ⚪í8=2fan,ñÕÖEFGH%èLÕÖ?᪷n×Ḅᑨ¨¨ᳮᓽêᑮÕÖEFGH%×0(2)᪷n¾Ḅឋºêᑮ/ABC=60°,AB=243cm,xêNAOC=/4BC=60°,CD=AB=2s/3cm,ó$ô$ᓽêᑮÓõ.ூA௃(1)Ôå0E”_L8C,FGABC,.'.EH//FG,ᵫ⚪íBF—2tcm,EH—tcm,•.•ᙠ¾>?/ABC=60°,:.NCBD=30°,:.FG=LBF=f,2-.EH=FG,...ÕÖEFGH%èLÕÖ?/FGH=90°,...ÕÖEFG"%×0(2)BFC£>(?£ZÞᐰY?ᳮᵫᙠ¾ABC஺>?/48C=60°,AB=2Mcm,.•./AZ)C=/A8C=60°,CD=AB=2-/3cm,AB//CD,:.NCBD=/CDB=30°,ZDCH=ZABC=60°,,-DHLBC,.\ZCHD=90°,-.ZCDH^90°-60°=30°=NCBF,ᙠRtaCDH>?cos/CQH=I^,CD

23O”=2yx=3,2■:BF=2tcm,:EH=tan,ADE=(3-r)cm,••ABFC^ADEC,A2r=3-Z,ூ௃⚪ὃ#$%&Ḅᑨ)*ឋ,-&Ḅឋ,./010&2345%&Ḅᑨ))ᳮ7.⚪Ḅᐵ9.23.(11ᑖ)=>?@ABCDEF᩟HᐶᡊᶍLMN⌕ᢣQRSTDEF᩟Hᐶᡊᶍ7UḄᓝWᜧLMḄNᜧYZ[\7]^_`“1b”dLḄ@ᢕf.g$hiᱯ⁐lmno᩟pq4000ᐗuvwx$Ay᪛{500}3y᪛{400}~8y᪛{ᓫ7Ay᪛{ᓫḄ1.25.(1)Aஹ8y᪛{Ḅᓫᑖ7ᐗ(2)no᩟Y)x᪵Ḅ᪛{100}ᵨ⊡ᐙyᐸvAy᪛{25}ᙠᓫ@qᵨ480ᐗḄᐳᨵyxᫀ¢yᫀqᵨᨬ¤ᨬ¤qᵨ7ᐗூᑖ᪆௃(1)¦4y᪛{§}xᐗBy᪛{§}yᐗ᪷«⚪¬ᑮ¯°ᐵ±²³´µMᐸ.ᓽ·¸(2)¦Ay᪛{x஻}ᑣ8y᪛{x(100-a)}@qᵨgwᐗ᪷«⚪¬w=-4+500,ᯠ¿᪷«ÀÁÂᦪឋ,ᓽ·.YÄ⚪.ூ.Å௃.T(1)¦Ay᪛{§}xᐗ8y᪛{§}yᐗᵫ⚪¬fy=l.25xl500x+400y=4000.ÇIy=5ÅTAy᪛{§}4ᐗBy᪛{§}5ᐗ¸(2)¦xAy᪛{”}ᑣxBy᪛{(100-«)}@qᵨgwᐗᵫ⚪¬TaW25,wW480,\"w=4a+5(100-a)=-a+500,Ê-a+500<480,

24.Ta220,.•.20Wa<25,7᦮ᦪÊ”Í20,21,22,23,24,25,ᐳᨵ6yxᫀᫀÀTxAy᪛{20}xBy᪛{80}ᫀÊTxAy᪛{21}x8y᪛{79}ᫀ1TxAy᪛{22}xBy᪛{78}ᫀÎTx4y᪛{23}x8y᪛{77}ᫀÏTxAy᪛{24}xBy᪛{76}ᫀÐTxAy᪛{25}xBy᪛{75}•.,Ñ=-“+500,--1<0,ÊÑÒaḄÓᜧÔÕÖ.♦.a=25wᨬÖ...×Ðyᫀqᵨᨬ¤ᨬ¤qᵨ7475ᐗ.ÅTᐳᨵ6yxᫀqᵨᨬḕḄxᫀ7xA᪛{25}By᪛{75}ᨬ¤qᵨ7475ᐗ.ூ௃⚪ὃ#$ᑡÊᐗÀÁ´µ.D▭Ä⚪ḄÛᵨ¯ÜḄÛᵨᐵ97ÝÞᳮ.⚪¬ßM⚪àvḄ¯°ᐵ±ᑡM´µßM¯ᐵ±ᑡM¯Ü.24.(12ᑖ)᝞âAB7஺஺Ḅ/äCD7஺஺ḄåABLCD,ᚖç7H,CL/èᑖéAB,ADḄêëèìE,F,íNEC£>=2NBA£>.(1)îTCF7஺஺Ḅᑗè¸(2)᝞ðAB=10,CD=6,জAEḄëTঝóḄ☢õ.

25cூᑖ᪆௃ö1
÷øocᑭᵨᙊᕜ0)ᳮᚖä)ᳮᙊḄüäèý¯Ὺ10&Ḅឋ,*ᙊḄᑗèḄᑨ))ᳮ.Åᓽ·¸2
জᑭᵨÿ
ᳮḄᑨ

ᳮឋ
ᳮᓽঝFG_LA8,A8ḄG,FG=4k,ᑣE=5ᑭᵨḄᑨ
ឋ"#ᑖ%ᡂ'(
ᳮ)*FG,+ᑭᵨḄ☢-./ᓽ.ூ௃31
45678஺C,᝞;?

26-.OCLCF.6oc=஺஺ḄF?<?

27-.DH//FG.•AHDH**AG=FG".9_3.^J4ky=-x+2x}M,y}E,>~ḄG(5,-3)ᐵx}.(1)᝞;জ<)MFḄ᪆/(2)ᙠ(1)Ḅᩩy=-x+2M)Ḅᨬᜧ.জঝூᑖ᪆௃(1))M,Ḅᙶ᪗<>MFḄ᪆/=+6,᪀¡¢£)YZ?ᓽ;(2)¥5yᱥᢚᨵᐵyᱥḄ}<*¦§

28(3)᝞;ঝ¨<P>ME7.P(f,-»+4r+5),ᑣ7(P-4f-3,-°+4±5),ᵫT஻AM,µᐺ=ZL=JL(L(/-4f-3)=-"!(t-§)ANAM3322+¼½<ᑭᵨ¾¿ÀᦪḄឋ<*¦§.12ூ௃6(1)•.,F>~ḄG(5,-3)ᐵx}<-.F(5,3),>y=-x+2x}M,-.M(2,0),>MFḄ᪆/y=kx+b,ᑣᨵ<2k+b=0,I5k+b=3*<ÆÇEMḄ᪆/y=-x+2,>MFḄ᪆/y=x-2,¾>EM,>஻/ᐵ>x=2<•,-P,Qᐵ>x=2<

29._xl+x2?2.•.XI+X2=4(3)᝞;ঝ¨<T஻A8>MET.VC(0,5),...yᱥḄ᪆/y=-/+4x+5,(-1,0),B(5,0),PC,-P+41+5),ÎijT(r2-4f-3,-P+4/+5),•:PT"AM,.•.Ñ=ZL=_1(?-4r-3)=-A(r-A)2+JZ.,ANAM332126-A