2022年内蒙古赤峰中考数学真题【含答案】

《2022年内蒙古赤峰中考数学真题【含答案】》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。

2022ᑁℳὃᦪ⚪ᔁ1.ᔁᔁ☢ᑖ150ᑖᐳ8⚓!120ᑖ#.2.$⚪%ὃ&'()*+ஹ-./ஹὃ&/0ᑏᙠ$⚪ᓱḄ56.789:;▅=$⚪ᓱ8Ḅ“?@A⚗3.$⚪D)$ᫀ0Fᙠ$⚪ᓱ8ᑏᙠᔁ8Gᦔ.4.JKL)ᔁM$⚪ᓱN9OP.Nஹ⌱R⚪STU⚪VWḄ⌱⚗XᨵNZ[ᔠ⚪@D)[ᔠ⚪@Ḅ⌱⚗]/ᙠ$⚪ᓱḄ56.78ᢥ⌕`Fa.TU⚪3ᑖᐳ42ᑖb1.-5Ḅd5eSbf1A.5B.-5C.5D.5Dூᑖ᪆௃ᵫd5Ḅopqrstᓽv.wxyzLW=5ᦑ⌱D.⚪ὃd5ᳮyd5Ḅopey⚪Ḅᐵ.2.ᑡᫀe5ḄeSbD.Aூᑖ᪆௃᪷5Ḅ@p᝞NZḼNᩩ5ᢚLᑖᐰᔠ᪵Ḅ5ᩩ5¡ᑨ£ᓽv.ூxy௃Ae5BஹCஹD¤e5

1ᦑ⌱A.⚪ὃ¥55Ḅᐵe¦§5ᑖᢚ¨Lvᔠ.3.©ª«¬®¯Ḽ°±²³´²ᜧ.7km°ᜐ·¸Ḅ®¹72100000Pa,ᦪᵨ»¼ᦪ½⊤¹SbA.7.21xlO6B.0.721xlO8C.7.21X107D.721x105Cூᑖ᪆௃»¼ᦪ½Ḅ⊤¿¹aX10"Ḅ¿ᐸlW|a|<10,஻¹᦮ᦪ.Ão"Ḅ⌕ÅÆÇᦪÈᡂaUᦪÊËÌ¥ÍÎ.஻Ḅd5ÏUᦪÊËÌḄ.ᦪЩ.ÑÇᦪd5Ò10஻eÓ᦮ᦪÑÇᦪḄd5<1஻eÔ᦮ᦪ.ூxy௃=721x107ᦑ⌱C.¡⚪ὃ»¼ᦪ½Ḅ⊤Õ½.»¼ᦪ½Ḅ⊤¿¹aX10஻Ḅ¿ᐸlW|a|V10,஻¹᦮ᦪ⊤ᐵ⌕ÃoaḄÖ×஻Ḅ.\<3জV4.yØ¿Ùk>N1ঝØ¿জஹঝḄyÝᙠ©Nᦪ8⊤ÓÃḄeSbBூᑖ᪆௃᪷Ø¿ÙÃoWyÝ⊤ᙠᦪ8ᓽv.\<3জVூxy௃yØ¿Ù5>N1ঝḄyݹT,Òᔣáâ<,Wᔣäâbᦪ8ḄÊÆᦪᑖᡂåæç᝞ᦪḄèNç8☢⊤yÝḄḄᩩᦪÏØ¿ḄZᦪN᪵éêçëeØ¿ÙḄyÝ.ᨵìZë⌕ìZ.ᙠ⊤

2yݓ픓W”⌕ᵨïðᙊÊ⊤⌕ᵨòðᙊÊ⊤.5.☢ìó¬ḄôõeSbூᑖ᪆௃ôõeöᱥ¬Ḅ8☢ÅøᑮḄõ.ூxy௃ᙊúḄôõeNZ©ðᙊû.ᦑ⌱B.⚪ὃìó¬Ḅüõý⌕ὃ&ò!þÿ
Ḅ
.6.᝞ᐜᔣ2ᓫᔣ3ᓫ,#ᑮᑣAḄ'ভḄᙶ᪗+,c.,T30D.GT0C

3ூᑖ᪆௃᪷8ᔣaᓫᔣ6ᓫᙶ᪗y)=^>P(x,y+a)nP(ᡝa,y+by,>?@AᓽC.ூDE௃EFI♦4ᙶ᪗I(2,1),•••Ḅᔣ
2ᓫᔣ3ᓫ/Ḅ'ᱏḄᙶ᪗I(2-3,1+2),ᓽ(_1,3),ᦑ⌱C.S⚪U⌕ὃXYᙶ᪗ZḄ[ᓄ]ᐵ_+`abᙶ᪗cdefgᙶ᪗,dhe.7.hᑡkAlmḄ+()A.a3+a2=a5B.d2-a3=o'c.2a-3a2=6tz3|)Cூᑖ᪆௃ᵫᔠuvw⚗ஹvzᦪ|}~ஹḄ~ஹḄ~ḄkAᑣᑖ>?ᑨᓽC#ᑮᫀ.ூDE௃EFAஹd+vw⚗ᔠu⌱⚗ᔠ⚪fBஹa2.a3=a5@A┯⌱⚗ᔠ⚪FCஹ2஺-342=6/lm⌱⚗ᔠ⚪FDஹ(]/)=]"]@A┯⌱⚗ᔠ⚪fᦑ⌱FC.⚪ὃXYᔠuvw⚗ஹvzᦪᗩ}~ஹḄ~ஹḄ~ḄkAᑣE⚪Ḅᐵ_+`akAᑣ>?ᑨ.8.hᑡlmḄ+()A.XḄ¡
¢£〉ᔠ¥ᵨ§¨©᪵XḄB.«¬ᙠ®¯°±²Ḅᭆ᳛+10(»C.ᵬஹ¸¹º»¼k½ᕒ10¿»¼ᡂÁḄÂᑖ+Sf=2.4,Sf=1.4,ᑣᵬḄ»¼ᡂÁĸḄ»¼ᡂÁÅÆD.8ºvÇÈÆᢗÊ6¿ᢗ°¿ᦪË@᝞hF5,4,3,5,2,4,1,5,ᑣÌᦪ8Ḅ°ᦪÍᦪᑖ+45D

4ூᑖ᪆௃᪷8ÎXஹ©Xஹᭆ᳛ஹÂஹ°ᦪÍᦪḄÆÏᑖÇ⌱⚗>?ᑨ,ᓽC#ᑮᫀ.ூDE௃EFAஹXḄ¡
¢£〉ᔠ¥ᵨÎXḄᦑAᔠ⚪fBஹ«¬ᙠ®¯°±²Ḅᭆ᳛+0,ᦑBᔠ⚪fCஹᵬஹ¸¹º»¼k½ᕒ10¿»¼ᡂÁḄÂᑖ+=2.4,Sf=1.4,ᑣ¸Ḅ»¼ᡂÁÄᵬḄ»¼ᡂÁÅÆfᦑCᔠ⚪FDஹ8ºvÇÈÆᢗÊ6¿ᢗ°¿ᦪË@᝞hF5,4,3,5,2,4,1,5,ᑣÌᦪ8Ḅ°ᦪÍᦪᑖ+45fᦑI0ᔠ⚪fᦑ⌱FD⚪ὃXYᐰ☢XZ©᪵X°ᦪஹÍᦪஹÂᭆ᳛ḄÏᳮEᔜᭆÔḄᑁÖ+lmᑨḄ×Ø.9.᝞Ú¹ÛÜ?ḄÝᩩ§ßàáâᙠ]ãäᔠåᑖ᪀ᡂ]çÜ4BCD,ᐸ°]ÛÝᩩᙠé½êë°hᑡìí]ÆᡂḄ+,ுD/>CA.çÜ48coᕜ[B.AD=CDC.çÜNSC஺☢[D.AD=BCDூᑖ᪆௃ᵫ?çÜḄឋó>?ᑨᓽC#ᑮᫀ.ூDE௃EFᵫ⚪C••ABI/9CDAD9!IBC!,çÜABCD+?çÜ!.AD=BC#ᦑDᔠ⚪f§Ḽ]ÛÝᩩᙠé½êë°஻஺]Æö÷CO,çÜN8CDᕜஹ☢ùúᦋ[;ᦑAஹBஹCᔠ⚪fᦑ⌱FD

5⚪ὃXY?çÜḄᑨÆឋóE⚪Ḅᐵ_+`a?çÜÜ}ö.10.°ᨬþÿḄ
᜜᪵⌕⌱ᐸḄ⚗.᪷ᑮḄᦪ!ᑴḄ#$᦮&'(᝞*ᑣ*ᑡ-.#/0Ḅ1245ᦪ
᜜6A.78Ḅ᪵9:;1200B.ᐰ᪥1600>?@A'ᨬCDEF
᜜ḄᜧHᨵ500C.ᡧK&'(LᢈNᑖᡠQRḄᙊTU136°D.VḄ?@ᨬCDWX
᜜Ḅᨵ50Bூᑖ᪆௃জᵫᢚ_&'(`ᡧK(abcCDdeḄᦪ110ᓰᦪḄ5%,ag'hi78Ḅ᪵9:;jঝᵨᐰ᪥1600>?@ḄmᦪngCDEF
᜜ḄᡠᓰmᦪḄoᑖpA'ᨬCDEF
᜜Ḅᦪjঞᐜ'hVḄ?@ᨬCDWX
᜜Ḅᦪsᵨmᦪtuᔜ⚗ᦪwaghiCDLᢈḄᦪᡧK&'(ag'hiLᢈNᑖᡠQRḄᙊTU1jটVḄ?@ᨬCDWX
᜜Ḅᦪw1ᵨ200nWX
᜜ᓰᦪḄoᑖpjூyz௃জᵫᢚ_&'(`ᡧK(abcCDdeḄᦪ110ᓰᦪḄ5%,78Ḅ᪵9:;1105%=20024ᦑA⌱⚗/0j50ঝᐰ᪥1600>?@A'ᨬCDEF
᜜ḄᜧHᨵc1600X20°=400
4ᦑB⌱⚗┯}jঞVḄ?@ᨬCDWX
᜜Ḅᨵ200X25%=5024aghiCDLᢈḄᦪ~c200-50-50-10-70=20

6X360°=36.••ᡧK&'(LᢈNᑖᡠQRḄᙊTU1200°,ᦑC/0jটVḄ?@ᨬCDWX
᜜Ḅᨵ200X25%=5024ᦑD/0jᦑ⌱cB9⚪ὃᢚ_&'(ᡧK&'(ᳮz&'(Ḅᦪ;Ḅᐵ1/0zḄ.11.b2x+242x-24-2x=l,ᑣ2X2_©+3Ḅ~24A.13B.8C.-3D.5Aூᑖ᪆௃ᐜᓄ¤bḄ¥¦s᦮E§ᐭᓽa.ூyz௃•.■2x+242x-2
-2X=1x2-2x=5...2x2-4x+3=22*2x4+3=13ᦑ⌱:A.9⚪ὃ®¯°±¥ஹ§ᦪ¥ᑭᵨ᦮E´µ1z⚪Ḅᐵ¶.12.᝞(ᡠ·ᙊ┵K¹º»Ḅ¼☢¾¿~12cm,Â☢ÃÄ(~¾ᙊKᑣÅḄÆ_Ç~24A.10cmB.20cmQ5cmp24cmDூᑖ᪆௃᪷ᡧKḄÉDZ¥'hᓽaiÆ_ḄÇÊ.ூyz௃zc᪷⚪Ë,ᙊ┵K¹º»Ḅ¼☢ᕜÇ~c2^x12=24%j,••ᙊ┵ḄÂ☢ÃÄ(~¾ᙊK,-----------180

7j.Î=24jÅḄÆ_Ç~24cmcᦑ⌱cD9⚪ὃᙊ┵ḄÂ☢ÃÄ(ÉDZ¥z⚪Ḅᐵ¶1ÏÐÑÒÉDZ¥'h.13.᝞(ÓKZ8C஺ÕAஹBஹCஹ஺ᙳᙠᙶ᪗Ú5/48C=120஺Õ"23,0,Õ£18ḄÕÕ?1࠷5ḄÕᑣPO+PEḄᨬß124A.3B.5C.2%D.2Aூᑖ᪆௃à_4஺5ḄÕáᑮâ஻äÕåæ`ᨬßç“éêëì”îïᵫ஻ᐵðà_”'ḄQòÕ6,óô□ᑣ_ö÷ḄÇᓽ1ø□Ḅᨬß.ூyz௃᝞(cóôù■:()ABCD,:B஻ᐵðà_/CQò•.•à_4C5ḄÕ஺ᑮEஹ஺äÕåæ`ᨬß•••᪷“éêëì”îïabRÇÊᓽ1ß=Ḅᨬß■:()ABCD,N"8C=120°,Õ'(TO),.^CDB=60°,ZDAO=3000A=3•

8...OD=y/3,AD=DC=CB=2o**.,CDB1úûüUK...BD=2V3•ÕE18ḄÕDE=-CD=y/3!.2ÿ
...BE=yjBD2-DE2=3ᦑ⌱A.⚪ὃឋ⚪⚪Ḅᐵ᪀⌼ᵨ!ᳮ#$%&.14.᝞+0°Ḅ./01஺3A56┐8930஺:ᑮ<6°Ḅ=>஺?ᙠ48BC&CD,G0°H£,/CE=4,ᑣ+K▢MNᑖḄ☢QRSTA.2%B.2&C.21Y4D.2ᐔ-26Cூᑖ᪆௃᝞+]^_OC,`஺abUdHeᵫ89:"=4Gj#k4࠷=44஺஺=75஺ᵫᙊᕜ!ᳮ:NN°E=150°,:ZEOD=30°ᵫ᜜tḄឋ:N0EC=45°,NR9c=90஺ᵫᚖ.!ᳮ:◖2,᪷z!ᳮ:OE=272,᪷zS▢M=SᡧEOF-S^EOF#ᓽj.ூ௃᝞+]^0C,`஺a"HR

9EF=-CE=-x4=2ᑣ22ᵫ89:AC=AD8ADC=NACD,z.//=30,/OC=NZC0=LX(18O°—30)=75°,AZ2#,AOE=2ZACD=150°Z./£00=30°,9/OED+AEOD=ZODC=75°,../OED=75°-ZEOD=75°-30°=45°,../EOF=NOEF=45°,•.OF=EF=2.OE=>]OF2+EF2=V22+22=2V2,OE=OC•./OEC=NOFE=4S•./EOC=90°S▢M-SᡧEOF—S^EOF=2Y4.ᦑ⌱C.⚪⌕ὃῪḄᑨ!ឋᙊᕜ!ᳮ!ᳮᡧ☢Q#kᡧḄ.ᙊ⚪Ḅᐵ.ஹ⚪(ᫀᑏᙠ⚪ᓱ>Ḅ$B¡⚪3ᑖᐳ12ᑖ)15.ᑖ¤¥2/+4/+2%=_____.2x(x+1)2

10ூᑖ᪆௃ᐜ§¨©¤¥ªᑭᵨ¬ᐰ®d©¥¯°¤¥ᑖ.±²23+4X2+2X,=2x(x2+2x+l)=2x(x4-1)2ᦑᫀ2x(x+l>.⚪ὃ¤¥ᑖ⚪Ḅᐵ³´§¨©¤¥¬ᐰ®d©¥.16.µ¶·¸ஹ¹º»ஹ¼᪥ᙠ¾Y$B¿☢Ḅ+ÀÁ᧜Ḅ`ÃÄᜩÆᨌ¶·È¸ÉÊ˹º»ÌÍÌÍÎÏÐʰѸᔛÆ⚶ÔÐÕÖ°×ᑮ¼᪥.+Kx⊤Ù6ÚÛ⊤Ù¶·Ü¸ḄÝÜ.ᑣ¿ᑡÎßàáḄ.(ᑏᡠᨵàáÎßḄäå)জ¹º»Ü¶·¸2.5kmঝ¶·ᙠ¹º»ÌÍ30minঞ¶·ᔛÆ⚶ᵨ20minট¶·ÕÖ°×Ḅ®ᙳëì°2km/minজঞটூᑖ᪆௃ᑭᵨ+íîïð⚪ᓽj.ூ௃¹º»Üñ·¸254□জàᶷᙠ¹º»ÌÍ3°T5=15(min),ঝ┯ô¶·ᔛÆ⚶ᵨõY67=20(min),ঞàá3----------=0.2km/min¶·ÕÖ°×Ḅ®ᙳëì102-87,টàá.ᦑজঞট.

11<⚪ὃöᦪḄ>ᵨ⚪Ḅᐵøù+íîïᮣûüᵨᡠ¼ð⚪.17.᝞+Rýþ᪥ÿᑁ
ᩚ46Ḅᦪᵨ᪷ᐝḄ,ᑭᵨஹ!"#$%&'ᐹᢥ*+,-./#0123ᙠ5஺ᜐᯠ9:#ὅ<Ḽ>?@A6஺9⌨ᑮ5D,DEាGHᙠIJᑮ
ᩚ⚔54LE#M:#ὅ:JḄN$஺=60°,:#ὅSTUᙢ☢XY7m,:11m,ᑣ
ᩚḄ]^17ூᑖ᪆௃᝞ef᧕h⍝ᑗ᝞ABLBD,ᓽ/mn//o90°.ᵫᐝḄsᳮuhZCOD=4AOMO",D᪵u*Mᑮᯠ9ᑭᵨEwᡂyz{u*|}46.ூ~௃1ᵫ⚪h/C=N4ᔬ60°,/᝞N4990°,CD1.7AOD-tow60°V364?=11-1=10(m),@,CMXAOB.CDOP1.71!.~AB~~OB,ᓽᔊA245=17(m),1
ᩚḄ]^17m.ᦑ17.⚪ὃ@$$Ḅᵨ$Ḅᵨ⚪⌕¡2▭£⚪¤¥ᑮ

12$¦ᑭᵨ$Ḅឋ¨{u*|}©ª.18.᝞e¬ᱥA®=¯2-6°5±'²³´ஹ8µ5±y²³5°,5°·¸,¸+1º¡¬ᱥA»Ḅ5ᑣ5஺ᐵ³@A/CḄ½¾5Ḅᙶ᪗^(0,1)ூᑖ᪆௃ᐜ|}4ஹBஹa஻Ḅᙶ᪗᪷Ã஻X²ᓽu|}5஺ᐵ³@AZCḄ½¾5ᙶ᪗.ூ~௃•.•¬ᱥA®=/6X—5±X²³Aஹ8µ5±º²³5c,•Éy=-x^—6x—5—01|j.X]=-1,%2——5.Éx=0Ey=—5...^·-5,0º,5·-1,0º,C·0,-5ºÐQE005ZACO=ZOAC=45°...0·¸,¸+1º¡¬ᱥA»Ḅ5..□+1=-//12-6m-5,M¸]=-1,¸2Ð6ɸ=-1E°·T°ºU4ÓᔠÕÉÖ=6E஺·6,-5ºÕ."஻x²ZACD=ZOAC=45°Ø5஺ᐵ³@AACḄ½¾5M,ᑣNZCZº=NACM=45°,DC=CM

13#.Mᙠy²»ÚÛ20/¡&Ὺ@$$!.D(=Of=65ᙶ᪗^(0,1)ᦑ(0,1).⚪ὃÐÝÞᦪḄឋ¨&Ὺ@$$ḄᑨUឋ¨⚪Ḅᐵà¡᪷½¾MᑮÛ᝞V¡&Ὺ@$$.ஹ⚪(ᙠ⚪ᓱ»ᙠâᔁ»äᦔE⌕ᑏ}Ã⌕Ḅᦻèéêஹëêìíᡈïðñò.ᐳ8⚪ôᑖ96ᑖ)j[+2a_஺+:"(')-V8+4cos45°19.ᐜᓄúû|ü1I"I”1,ᐸ3a-3.3ூᑖ᪆௃ᵫᑖḄ◀ᑣᓄᯠaḄᐭ!ᓽ#$ᑮ&ᫀ.([+2"1).Qூ01௃12I"+1)aஹ௃Q+1+2Q-1aQ+1(Q-1)(Q+1)=3a("l)(a+l)9஺+1a93஺;3<-=4cos45஺=2-2C+4x*=2F஺=2ᐭ$G⚪ὃJKᑖḄ◀Lᔠ9N᪷ḄឋQR᦮ᦪᢣᦪVᱯXYḄZY[ᦪ\]^1⚪Ḅᐵ`abcdeᑣfgḄ1⚪.

1420.᝞jk]Rf"6c4c8=90°,ZB=8,8c=5u1vw8cḄᚖyzᑖ{ᑖ|}/3ஹBC
DஹH.u⌕2wjᑏw,ᶇwjvu2vᙠu1vḄᩩ8,8஺Ḅᕜ.5u1v1᪆u2v4ூᑖ᪆௃u1vᑭᵨVGwjwḄᚖyzᑖ{ᑖ|}/8ஹBC
DஹH.u2v᪷z{ᑖ{ᡂ!ᓽ#.ூ101௃᝞jᡠ஻ஹ஻ᓽ¡ᡠCH=BH=-BC=-ᙠu1vḄᩩ22,NDHC=90஺•••ZACB=9004B=8!.DH//AC,AC=^AB2-BC2=^2-52=439PHBH:.~AC-BC

15DH_4DH=-y/39V39;2,1$2=--DHBC=-x-y[39x5=^^S^BCD!22245ᓛᦑ4.G⚪ὃJwjḄwᚖyzᑖ{ஹz{ᑖᡂஹᚖyzᑖ{ḄឋQ1¦§¨⚪©Ḅᐵ`ab៉VG«¬jḄឋQ®ᔠ«¬jḄVGឋQF¯ᩖwj±1ᡂVGwj⌲³´w.21.¡K1☘¶·Ꮙ¹º»¼½¾50¿ÀÁḄÂÃÄ᪗Æ»KÇÈÉᑖ¡50ᑖ.᪷ÇÈᡂÊËᑴÍ᦮Ḅ⚣ᦪᑖÏ⊤ÑÍ᦮Ḅ⚣ᦪᑖÏyÒj᝞2Ó|ᡂÊx(ᑖ)⚣ᦪ(Ôᦪ)Õ;Ó5

16(4)ÕZÓ12¿ÀÁᨵAஹBஹCஹ஺Ö¿᝕Áæçè12¿ÀÁzᙳᑖᡂêÓëìcíîÓê¿᝕ÁØᵨï᪛ºjᡈᑡ⊤5ஹ0ê¿᝕Áᑖᙠò;ÓḄᭆ᳛.(1)18<(2)1᪆2]_(3)64%<(4)3ூᑖ᪆௃(1)ᵨõÔᦪöÕ;ஹ9ஹZஹ×ÓḄÔᦪᓽ#Ḅ<(2)᪷(1)$Ḅ÷Ḅ⊡ᐰ⚣ᦪᑖÏyÒj<(3)ᵨÇÈᡂÊÞß35ᑖḄ⚣ᦪ◀ùõᦪᓽ#$ᑮGNÇÈḄÄ᪗᳛<(4)ï᪛ºj᪷ᭆ᳛úᑡ!ᓽ#.ூ101௃12⊤ûḄa2%=50-1-5-12-14=18<ூ201௃12⚣ᦪᑖÏyÒj⊡ᐙÍ᦮᝞212ᵫ⚪ü$250&2GNÇÈḄÄ᪗᳛a64%<ூ401௃12᪷⚪üï᪛ºj᝞2

17ᐳᨵ12þ\#ÿ
BஹC᝕ᑖᙠḄ
ᨵ44__]_ᑣḄᭆ᳛123.⚪ὃ⚣ᦪᑖ#$%&'ᭆ᳛ᑭᵨ*+&,-./0123456ஹᑖ᪆ஹẆ:*+&;<=>?@ḄᑨB'CDE⚪ᭆ᳛=ᡠH
ᦪIJ
ᦪKL.22.MN᪥PQRSTᙢ+ᑜᙠTᙢWX4ஹ8Zᩈᐳ6000_ᐸa/ZᩈḄᦪcL8ZᩈḄᦪcḄde600_.(1)hE4ஹ6Zᩈᔜej_k(2)᝞mN᪥n᣸350q0rsXtZᩈuquᜩwᙳ<X/Zᩈ50_ᡈ6Zᩈ30_zᑖ{n᣸ejqXAZᩈ'6Zᩈ;<@|0}ᡂk(1)/ZᩈḄᦪc24006ZᩈḄᦪc3600(2)n᣸100qX/Zᩈ250qX6Zᩈ;<@|0}ᡂ.ூᑖ᪆௃(1)᪷ᙠTᙢWX46Zᩈᐳ6000_4ZᩈḄᦪcL3ZᩈḄᦪcḄde600_ᑡ>zḄᐗ%C⚪(2)᪷⚪ᑡ>zḄᑖ%C⚪ᨬ⌕.ூE1C௃C/ZᩈḄᦪcxᑣ6ZᩈḄᦪcyx+y=6000<1x=—y+600᪷⚪£12,X=2400C£tv=3600,4ZᩈḄᦪc24006ZᩈḄᦪc3600ூE2C௃Cn᣸aqX/Zᩈᑣn᣸(350-a)qX6Zᩈ24003600᪷⚪£50஺30(350-4C£;100,

18«¬100%ḄC,.,.350᮱250,n᣸100qX/Zᩈ250qX6Zᩈ;<@|0}ᡂ.⚪ὃᐗ%Ḅzᵨ¯ᑖ%ḄzᵨC⚪Ḅᐵ±²@⚪ᑡ>zḄᐗ%.23.▅´µᑡᩞᧇ¸¹º»min*,¼0½0min¾¾¼"60mm\a,b\=a¿᝞min|-l,3|=-1min|-l,-2|=-2}ᡂµᑡmin(-3)°,2=min|-VT4,-4|=(1)জঝττk
2᝞&ÂÃÄL¿ÅᦪX'Åᦪ1=2"+"Ḅ&ÆÇÈAஹBÉ.¼2min,—2x+b=(x+l)(x-3)x-2cx<00HtÊÅᦪḄC᪆.(1)জ1ঝ-42%=V--2r-3(2)%,%x'ூᑖ᪆௃Í1Î᪷ᩞᧇaḄ¸¹ÏÐ+»ᓽH>ᫀk-2x+b<-min—-2x+6=-2x+b
2ᵫÅᦪ&Æü2Vx<00Ô,ÕÍJ%ÖᔠÂã-2"+°=6+1ÎÍ"-3Î"2,ᓽH>6,£ᑮÅᦪC᪆H>É/Ḅᙶ᪗ÜᑭᵨݸÞᦪßH>ÄL¿ÅᦪC᪆.ூE1C௃C᪷⚪

19•.•min|a,b|,¼aNb0mi*,b|=b¼0min|a,b|=j...জéê3)஺ᧅ1.—y/14>—4,.ঝmin|-V14,-4|=-4ᦑজ1ঝ-4ூE2C௃-2x+b<—CᵫÅᦪ&Æü2Vx0X,kmin—,—2x+b——2x+bx••kmin—,-2x+b=(x+l)(x-3)-x2ï.1,.-2x+b=(x+l)(x—3)—J•••••b=-3—Åᦪ%=3-3,¼x=-20Ô=:!.A(-2,1),ky=òó/(—2,1)ôᐭx£ö=_2xl=_2,2Y=—ÄL¿Åᦪù.⚪ὃú¸¹Ḅº»ßᑣûüÄL¿ÅᦪIÅᦪḄýᔠE⚪C⚪Ḅᐵ±þÿ⚪
ḄᵨᦪᔠḄ.24.᝞“80°Ḅ0஺஺᜜!AC=BC,"#࠷,DFM4CḄᚖ)ᑖ+,࠷-.ᚖ/E,"#CD,1ZDCZ=N0C4.

20D(1)6780°Ḅᑗ+:(2);CD=6,OF=4,cos/D4cḄ<.V30(1)=᪆(2)6ூᑖ᪆௃(1)ᵫCῪEFḄឋHIJKᵫ+Lᚖ)ᑖ+ḄឋHIJZDAC=NOC/,ᵫNDCA=NOCAIJND4c=NO”,6M//C,NOIJP:AD0(2)"#4Rᵫ+Lᚖ)ᑖ+ḄឋHIJ=0Q=RSᵫTUVᳮXYᐵ+L[ᓽI.ூ]^1_௃•.•஺ᙊb0N0B,■:AOBC,...COJLAB,ᓽ/COA=ACOB=90",•••஻8஻'Ḅᚖ)ᑖ+..AD=CD,./DAC=NDCA,../DCA=NOCA,•X—./DAC=NOCA,.AD//OC,/DAO=ZCOB=90°,ᓽ4஺,AB,fᵨ8ᙊ஺Ḅ80°Ḅᑗ+:ூ]^2_௃

21"#/E᝞,ᵫg1"D=CD8AE=CE,.../DCA=ZOCA,DF±AC,...CD=CF,AF=AD...AF=AD=CD=CF=6,ᙠiA4஺9jAF=6,OF=4,AO2+OF2=AF2AO=yjAF2+OF2=V62-42=2AᙠMZUOCj/0=26,CO=CE+QE=6+4=10,AC2=AO2+OC2.AC=YIAO2+OC2=7g2A/5n2+102=2qAE^-AC=y[30,!.2cosNDAC=cosZDAE=—=—AD6r⚪s⌕ὃvw+Lᚖ)ᑖ+ḄឋHCῪEFḄឋHᑗ+ḄᑨVTUVᳮyz┦F|}<~ᵨYᐵr⚪Ḅᐵ25.ூ᛻௃ᓄ᪥᛻᪥᪷ᙢ⌕j![/஺=4m,N5=lmḄ[N8CO[ᦋ⌼g᝞জᦋ⌼¡Ḅ48M0¢[y£¤¥1,¦§S¨⌼!ᕜ[12mḄªEFG”g᝞ঝy£¤¥2.

22EH%!---------------P-----,2!1B'----------------------------------------------------জঝூ¨®¯௃᝞°±4BCDḄ²AD[[³DM“(m)(x>°),[¡iḄ¹☢»¼(m)ᑣ¾ᐵ-xḄ¿ᦪ᪆À7Á=Â+4஺ு0):±2Ḅ²■Ḅ[x(m)(OḄ[³"(m),ᐸóᩩõö÷(ø[ᦋ⌼¡Ḅù¤¥3),ᑣ3Ḅ¹☢»M)ᐵ-x(m)Gு°)Ḅ¿ᦪ᪆À7%=x+/x>0),;3ü2Ḅ☢»YC§ஹþᨵ
6Ḅ.

23(1)3

24ᦑᫀ$0

25$;(2)ூ*⚪G௃¹;জ»¼ᐶ¾P5Í6;ঞÄVcஹ”Ï·Æ3¸Z8CQḄWX´Ò°,VcᑖÓBCQRSஹEஹF,V஻ᑖÓ/8ஹCO,q&GஹH,Ø஻?’"ÛÆ3¸N8C஺Ý`$8,Þݸ°E/GḄ☢.(3)ூ*⚪À௃¹;ঝ»¼ᐶ¾P5Í6;টÄÆ3¸CEEGḄ⚔&GᙠÆ3¸48C஺ḄÝC£â⚔&Eᙠ8CḄã`VØ8C=6,CE=2.ᙠV8Eiᔲåᙠ&æçANPR$ÇÀǸ¡Ûåᙠ68PḄ`aÛéåᙠêëᳮᵫ.;ট(1)AE-BF(2)16(3)BP=6ᡈBP=2.ூᑖ᪆௃(1)ᵫÆ3¸ḄឋJ(@==ZAOE=ZBOF,᪷F/ì(íᵫᐰ0ÀǸḄឋJ(@=A(2)·&஺ïMN//AB,,ð஻q&ᩞ,8cq&N,ïTR//AD.,/?q&T,QCDq&/?,íëñ=AOTG,ódíë§Þݸõ£0G=SÆ3¸"a”=16Ä(3)8P=x,ᑖÓ6IP?=36+2,ùæ2=ú2_]6+68,/æ=80,ᵫýþÿᳮ
xḄᓽ
.ூ1௃

26••/⚪^BAD=ZABC=90"z8஺BAO=-ABAD,NOBF=-NABC,AC=BDAZ22,BAO=ZOBC,AO=80=L/C^-BD,ZAOB=90°AZ22•.•44Go,./4OC[=90••z_./AQB+NBOG=90'v//O4+N4O8=90•••AAOE=NBOF•\AOEs\BOF!.AE=BFᦑ#ᫀ%&8E=BFூ2௃'(஺)MN஻AB,*+(,*a'+(N,)TR//AD-*46+(T,*3+(R,᝞5•.•(஺456Ḅ78AT=TO^OM=MA=-AB=-AD,•229/4=90°/:,

27.S᱐<=WS48co=W"8?=16=(1)
@.♦.S/EOG=SdTO"=16ூ3௃4BCD,CEFGᙳ%.AB=BC=CD=DA=6,CE=EF=FG=GC=2,/••z_B=NE=ZADC=AEFG=90°,ᙠCD[,..DG=DC-CG=6-2=4,9Dᙠ6CḄGHI...BE=BC+CE=6+2=8,JBP=x,ᑣPE=8-x,ᙠH/A/18P7AP2=AB2+BP2=36+x2,ᙠRt^FPE7FP2=PE2+EF2=(8-x)2+22=x2-16x+68GH/஻D*+(0,ᑣN..QF=DG=4,DQ=GF=2,AQ—AD+DQ=6+2=8.ᙠ/7AF2=AQ2+QF2=82+42=80,OP“PF%QRᑣᨵ/T2+TW2=,ᓽ36++Y2_]6x+68=80.᦮ᳮxJ8x+12=0,ᔲ=6,^2=2._BP=6ᡈBP=2.

28`⚪a⌕ὃdeḄឋgᐰiRḄᑨklឋgNḄᑨkmnkᳮiop,q)rs#`⚪Ḅᐵu