2022-2023学年湖北省宜昌市中考数学专项提升仿真模拟试题（3月4月）含解析

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o2022-2023
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3#ஹ$%⚪(⚪ᐳ9⚪ᐳ90ᑖ)19.(1)éT¢(-2)1-|-78|+(V2-1)0+cos45°.(2)&'m2-5m-14=0,ï(m-1)(2m-1)-(m+1)2+1Ḅ4.2x+3>020.»ᨵ¨½ð5ñòïóôḄᡠᨵ᦮ᦪ».5——xு0I321.᝞@ᙠ÷BABCD>øù1³ACஹBD,?AABCúBC<ᔣDEûBEᑮC,ÎᑮADCE.(1)ïý¢¤ACD/Z\EDCÿ22.᪥“ᡃᨬ᰿Ḅ⚗”⌕⌱⌱⚗!"#$%ᐸ'()ᑴᡂ᝞-.ᨵ0᦮Ḅᩩ345ᡧ34.(1)m=;(2)<⊡ᐰ?☢Ḅᩩ3AB4;D4⚓/H51⚓

4J3Lᙠ42N“OPᳫ”ᡠSTᡧ3ḄᙊVWḄXᦪZ;J4L[\]᪥ᐳᨵ1200<`aB]᪥bᨵᨬ᰿cᳫ.23.᝞41,2ᑖfghiᳫjḄkᱥ4mno4[\pqBC=0.60vpqBCmwjACᡠᡂḄWNACB=75°,wjAFḄ}Z2.50vvi~⚔Fᑮi᪾DḄFD=1.35vi~pwjHFmwjAFᡠᡂḄW/FHE=60°,i᪾Dᑮᙢ☢ḄJᑮ0.01vL.Jὃᦪcos750=0.2588,sin75°~0.9659,tan75°=3.732,a1.732/2«1,414L24.᪥ᶇ¡¢ᓤ⁚¥?᤮ᨵᵬஹ©ª«¬«N®ᨵ¯¬2°±²¬1°ᾙ¬1°J¬᜜µ0ᐰ᪵L.J1L·¸¹ᵬ«Nº»°¬»ᑮ±²¬Ḅᭆ᳛g;J2L·¸ᙠᵬ«5©«Nᐜ¿ᔜ»"°¬<ᵨ᪛Ã4ᡈᑡ⊤Ç·¸ាÉ»ᑮª°¯¬Ḅᭆ᳛.25.ÊËÌÍ᝘ÏÐZÑ24ᐗÓÔÕÐ.ᨵÖ×ÏÐ.ᙠḄÕÐZÑ36ᐗᨴÙ60Ñ.ËÚÛÜÝÌÍ᝘ḄÕÐÞÐ1ᐗᑣᨴḄ├á%â#10ÑãÑÍ᝘ÞÐxᐗGZæ᦮ᦪLᨴḄ├áZNÑ.J1LᑏèymxêëḄìᦪᐵîï5ðñáxḄ»òô;J2LÊË᝞õÔÐö÷ᨴÍ᝘Ḅᑭùúᑭùgûüᐗú26.᝞4nABZ00ḄᩩýCZþÿABḄEABFᙠAEḄBE=EF,CEABD.জCE஻BFঝ"BD=2,EAEBEC=31,4BCDḄ☢()*᪷,ᙊḄ./ឋ12OC_LAB6.75⚓/;51⚓

5Do*27.᝞>?ᱥy=-x2+4AxBAஹBDAyBCPE?ᱥḄFGᙠH▲JPKxBḄᚖᚖMD,NBCE.(1)AஹBஹCḄᙶ᪗QNBCḄR᪆T(2)AODE☢(ḄUVWXḄEḄᙶ᪗(3)Eᔲ[ᙠ\PஹOஹD⚔Ḅ^_`A^OACWab"[ᙠcdPḄᙶ᪗"eᨵ[ᙠcghᳮᵫ.76⚓/;51⚓

62022-2023
ᓅḕὃᦪ⚗ᓣ⚪3ᨴஹ⌱⌱)l⚪ᐳ12o⚪po⚪3ᑖᐳ36ᑖ61.ᦪBḄAᑮtḄuvE6,ᑣA⊤zḄᦪ)6A.6ᡈ-6B.6C.-6D.3ᡈ-3ூ~ᫀ௃Aூᑖ᪆௃Atuv6ḄᨵDFᑖᙠtḄQᵨᵨᓽ1.ூR௃Aᙠt0-6=-6Aᙠt6-0=6.ᦑ⌱A.⌕ὃᦪḄUḄ.*AFḄuvaḄᦪᨵ2FᙠḄQᔜF.2.2A)a,20156AA')-2104,b6EᐵtOḄ./ᑣa+bḄU)6A.1B.-1C.6D.4ூ~ᫀ௃BூR௃ᑖ᪆᪷,ᐵt./Ḅឋ¤¥¦ᙶ᪗ᙳ¨W©ᦪ1Nªᑡ¬R.RA)a,20156AA')-2104,b6Eᐵt0Ḅ./.,.a=2014,b=-2015,ᑣa+b=2014-2015=-1.ᦑ⌱B.®¯⚪⌕ὃᐵt./Ḅឋ¤ᐵ°Ehᐵt./Ḅᱯ¥ᙶ᪗ஹ¦ᙶ᪗ᙳ¨W©ᦪᑡ¬Rᓽ1²³´ᓫ.3."m-n=-l,ᑣ)m-n6--2m+2nḄUEA.3B.2C.1D.-1ூ~ᫀ௃AூR௃¹⚪ᑖ᪆ᡠT»¼D⚗¾¿-2¨`¼Àm-n=-1᦮ÂÃᐭᓽ1dU:77⚓/;51⚓

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0×ÃÂÃ1᝞6Ø©"Ḅ4A஻ÚH×éI¡XAÛÜA/Ḅᙶ᪗Yy6,4,ᑣḄ☢ßA.12B.9C.6D.4ூ$%&ᫀ௃Bூ)*௃••A4-6,4,஺L஺44A:.஺Aᙶ᪗-3,2,kk஺Y-3,2ᙠÔÕ®y=—Öá0pâᐭ2=—,x-3/.k=-6,••A஺ᙠ×épµ×é48Häåᚖו•A஺Ḅçᙶ᪗-6,è•.•A஺ᙠÔÕ®^=Û9,X••ACᙶ᪗Yy6,1,é3,12⚓/51⚓

12tµSMoe=Mx/CxOB=Mx3x6=9,1ᦑ⌱BÛஹðñ⚪(`⚪ᐳ6@⚪ò@⚪4ᑖᐳ24ᑖ)13.ᑖ*ó2/x2+xy=.ூ$%&ᫀ௃x(x+y).ூᑖ᪆௃hyE⚗2ᑖ*ó2Ḅy÷øùL✌ᐜ;ᔜ⚗ᨵUᨵó2Üᨵó2ᑣ<_ýþᩭ
ᔲᐰᡈὃ⇋ᵨᑖ.ூ௃!"xᓽ%&x2+xy=x(x+y).1114.0x2-3x-1=0Ḅ5᪷7XIஹX2,ᑣ---1---Ḅ=7.>Zூ@ABᫀ௃-3ூ௃&7x2—3x—1=0Ḅ5᪷7X”X2ᡠGH+I2=3,xx=-1t21I1X]+_3_X]xxx-12]2ᦑ-315.NO2a—3b=7,ᑣ8+6b—4a=.ூ@ABᫀ௃—6ூ௃&&2a—3b=7,U.8+66-4a=8—2(2a—3b)=8—2x7=—6,ᦑ-6.16.᝞WḄXYA8=8,[஻4SC_`஺bc┐efgᑮᑣ[஻ḄXYiḄjkC'஺Ḅmn7.o13⚓/r51⚓

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ᙊᑣWj▢ᑖḄ☢ᶇo14⚓/r51⚓

14ூ௃ᑖ᪆&¡AD.᪷tWj▢ᑖḄ☢=}|uABCḄ☢-}|uACDḄ☢-ᡧuADEḄ☢ᑡ§¨ᓽ%.&¡AD.;|aABCjZA=90°,ZB=30°,AC=4,ZC=60°,AB=4¬VAD=AC,}|uACDzY}|uAZCAD=60°,AZDAE=30°,•••Wj▢ᑖḄ☢=4X44-2-4X2JJ+2-°±i=-g.ᦑBᫀ74᪗`¶&·⚪⌕ὃ¸ᡧu☢Ḅ¹¨⚪Ḅᐵº»ᨵ½ᑣWuḄ☢¹¨fᓄ7½ᑣWuḄ☢¹¨.18.᝞Wᙠ☢|ᙶ᪗Áj`஺7ᙶ᪗Â``PᙠÄ▲OPÇxÈÉ~O,A5`,`AḄᙶ᪗7Ê6,0,OPḄ7,ᑣ`PḄᙶ᪗7.ூᑖ᪆௃Ë`PÌPD^xÈ~`D,¡OP,ᐜᵫᚖÑᳮ§ODḄm᪷tÓÔÑᳮ§PDḄmᦑ%g§Bᫀ.ூ௃Ë`PÌPD_LxÈ~`D,¡OP,o15⚓/r51⚓

150Ps0)xVA(6,0),PD1OA,/.OD=yOA=3,ᙠRt^OPDjOD=3,U.PD=2U.P(3,2).ᦑBᫀ7(3,2).⚪ὃḄᚖÑᳮ᪷t⚪Ö̧×Øk᪀⌼§|}|uB·⚪Ḅᐵ.#ஹ$%⚪(⚪ᐳ9⚪ᐳ90ᑖ)19.(1)¹¨&(-2)Û-Ü▭|+(72-1)0+cos45°.(2)NOm2-5m-14=0,(m-1)(2m-1)-(m+1)2+1Ḅ=.ூ@ABᫀ௃(1)ßà2U()15.22ூ௃á⚪ᑖ᪆&(1)Â⚗ᑭᵨäᢣᦪçᑣ¹¨oè⚗ᑭᵨ=ḄéᦪÖêᓄo}⚗ᑭᵨëᢣᦪᕆᑣ¹¨⚗ᑭᵨ|Ḅ}|íᦪ=¹¨ᓽ%gᑮU(2)Âᑭᵨî⚗ïGî⚗ᐰᓄðñòᔠôgᑮᨬöNOzéᐭ¹¨ᓽ%§=.á⚪᪆&(1)Â=-g-2&+l+#_1-3V2F--(2)(m-1)(2m-l)-(m+1)2+1=2m2-m-2m+l-(m2+2m+l)+1=2m2-m-2m+l-m2-2m-l+l=m2-5m+l,øm2-5m=14c,o16⚓/r51⚓

16Â=(m2-5m)+1=14+1=15.ὃ`&L᦮Ḅúᔠû¨ᓄ=2üᦪḄû¨,3.ëᢣᦪý,4.ä᦮ᦪᢣᦪÁ,5.|Ḅ}|íᦪ=2x+3>020.»ᨵzþJ5ÿ
Ḅᡠᨵ᦮ᦪ.5—x>03ூᫀ௃ᨵḄ-ᨵḄ᦮ᦪ-1ஹ0ஹ1ஹ2.ூ௃⚪ᑖ᪆ᑖ!"#ᨵḄ᪷%&'(ᜧ*ᜧஹ(+*+ஹᜧ++ᜧ,-.ஹ++/01ᨵḄ.⚪᪆ᨵ2%+3>0,2-1.5,ᨵ5-?x>0,2x<3,3ᑣᨵḄ-1.5WxV3,.•.ᨵḄ᦮ᦪ-1ஹ0ஹ1ஹ2.21.᝞6ᙠ89ABCD,:;<=>ACஹBD,?^ABC@BCAᔣCDEFBDᑮFC,2ᑮADCE.(1)HAACDIZXEDCJ(2)KLMABDEḄ9N
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17AD=ECᙠ4ACDj4EDC,ZADC=NDCE,CD=DCAAACD^AEDC(SAS)J(2)Z\BDEUῪW=9Jᳮᵫ᝞sVAC=BD,DE=AC,J.BD=DE,••.vBDEUῪW=9.ὃF1ஹ89ḄឋYJ2ஹᐰW=9Ḅᑨ1{ឋYJ3ஹCDḄឋY22.}᪥“ᡃᨬ᰿Ḅ"⚗”⌕!⌱⌱"⚗0“6I62Ksᑡ⚪(1)m=J(2)K⊡ᐰ☢Ḅᩩ9¢£6J(3)ᙠ62,“¤¥ᳫ”ᡠ<§ᡧ9Ḅᙊª=Ḅ«ᦪJ(4)¬®᪥ᐳᨵ1200K±²£®᪥³ᨵᨬ᰿´ᳫ.ூᫀ௃(1)150,(2)36°,(3)240.ூᑖ᪆௃(1)᪷%6,ᑡ£¸ᓽ\J(2)2“´ᳫ”Ḅ¹ᦪ=150x20%=30¹⊡ᐰ☢Ḅᩩ9¢£6ᓽ\;(3)360஺ஹ¤¥ᳫ”ᡠᓰḄ¿ᑖÀᓽ\2ᑮ]^J(4)᪷%⚪Á£¸ᓽ\.ூ௃(1)»»=21-14%=150,(2)”´ᳫ”Ḅ¹ᦪ=150x20%=30¹b18⚓/e51⚓

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252022-2023
ᓅḕὃᦪ⚗ᓣ⚪4ᨴ2ஹ⌱2⌱⚪ᐳ124⚪⚪3ᑖᐳ36ᑖ.ᙠ⚪78Ḅ:4⌱⚗,<ᨵ2⚗>?ᔠ⚪A⌕CḄ1.4Ḅ½f᪷«±A.2B.-2C.±2D.42.᝞¿ᡠ¨ḄC.ÀÁÂḄÃÄ¿ஹÅÄ¿ஹÆÄ¿ḄÇÈ«±A.জঝঞB.ঞC.ঞ®®D,জঞঝx-a<03.2017ÊËÌ⁐αᐵxḄ6ᨵÐ!Ñ,ஹÒḄÓdÔÕᨵ5᦮ᦪᑣCᦪ2x+3a>0«ḄᨬÙ&«±2A.3B.2C.1D.-34.᝞¿ᙠ48CdDஹEᑖ48ஹRCḄÚᙠ3cḄÛÜDE//BC,3ZA=48°,Zl=54°,ᑣN2ḄÝᦪ«±5.ºÞß᪗à200ᐗ3,âᢚähåᑭ20%,ᑣæºÞßçàA.100ᐗB.105ᐗC.108ᐗD.118ᐗ6.èèé᪥ëìíîïḄðñ¦§òóôõèᐸd50÷îïø_1ᑖùúᓷüᙶḄᡂþ«vᦪ±çÿ᦮ᳮᑴᡂ᝞ᡠḄ⚣ᦪᑖ1520ᒹ15,ᨵᒹ20,26⚓/!51⚓

26#᪷%&''(ᡂ)ᙠ2030+Ḅ⚣᳛-A.0.4B.0.5C.0.6D.0.77.ᐵ/xḄ0ᐗ2+3஺-1/-26+3=0ᨵ8ᦪ᪷ᑣ᦮ᦪaḄ:-A.2B.1C.0D.-18.ᑡ<ᦪ=>x>0?y:@x:ḄAᜧCDEḄ-1,A.y=xB.y=2x-1C.y=—D.y=x2X9.᝞GHῪJKLḄMNOᑖPQ2R5,ᑣSḄᕜOQA.9B.7C.12D.9ᡈ1210.VWaABCḄJNOᑖPQ4ஹ4ஹ6,ᙠaABCᡠᙠY☢ᑁ\0ᩩ^_`ABCᑖᒘᡂMbJKLcᐸ=Ḅ0b-HῪJKLᑣe᪵Ḅ^ghi\ᩩ.A.3B.4C.5D.611.᝞஺஺-`48CḄ᜜kᙊBC=2,N5ZC=30஺ᑣmn5cḄOH/27rap-2----<--------1--ᐔ----nL/•<----->---ᐔ-------A.—D>r333312.᝞ᚖ/xrḄ^ABᑖPstᱥ^C|y=x2xN0Rtᱥ^Gy=—x^O4v/A,BMwxwAyCD஻xrᑖPsyrRtᱥ^C2v/wC,D,xwByEF஻xrᑖsPsyrRtᱥ^av/wE,F,ᑣ{|Ḅ:Q27⚓/!51⚓

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2818.ᙠY☢Kᙶ᪗=wP(x,y)ÁÂÃᣚÅᑮwP(-y+l,x+2),ᡃÉÊwP(-y+l,x+2)ËÌwP(x,y)ḄÍÎw.VWwPiḄÍÎwQP2,wP2ḄÍÎwQP3,wP3ḄÍÎwQP4,e᪵Ò+ÅᑮP1.P2,P3,P4.…Pn.±wPlḄᙶ᪗Q(2,0),ᑣwP2017Ḅᙶ᪗Q.#ஹ$%⚪(ᜧ⚪ᐳ9⚪ᐳ90ᑖ)19.'((ᐔ-3.14)஺+|1-28|-V8+(7)20.ᐜᓄÝÞß:à--0ᓟ—ãᐸ=x=2.x-1X-1X+121.᝞w8ஹEஹCஹ²ᙠ0ᩩ^³AB=DF,AC=DE,BE=FC.(1)ßæ4ABg/\DFE#(2)°k/FஹBD,ßæ®NL²-Yè®NL.22.QÌé■ëpy■ëᢣᢵîïðñÁòóḄòôõèö÷öøùúûḄ-òôö÷2ü(ᓽCD=2)ᚁDEḄᚁi=l1(ᓽDBEB=11),᝞ᡠAE=4ZEAC=130°,"#$ᩭḄ&BC.((ὃᦪ+sin50°=0.77,cos50°~0.64,tan50°~1.2)/TV/W:\……EAB23.=>?@A⁚CD?᪥ᔣ?GHIJKLMᩰὁPQᐰ᪥30ST>UVWXY4ST(ᵨA,B,C,D⊤)\HIᑮḄLMḄᦪ^_`Yᑖ᪆cdᑴLYfghᨵj᦮Ḅcd.l29⚓/o51⚓

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312022-2023
ᓅḕὃᦪ⚗ᓣ⚪3ᨴ2ஹ⌱2⌱⚪ᐳ124⚪⚪3ᑖᐳ36ᑖ.ᙠ⚪78Ḅ:4⌱⚗,<ᨵ2⚗>?ᔠ⚪A⌕CḄ1.4Ḅ}᪷8A.2B.-2C.±2D.4ூᫀ௃Cூᑖ᪆௃F{ᑭᵨ}᪷Ḅ#ᑖ᪆$ᫀ.ூt௃4Ḅ}᪷8R±"=±2.ᦑ⌱RC.⚪⌕ὃ}᪷Ḅ#4ᐵ#8t⚪ᐵ¡.2.᝞Bᡠ¢Ḅg£¤¥Ḅ¦Bஹ§¦Bஹ¨¦BḄ©ª8D.জ®@ூᫀ௃Dூt௃«⚪ᑖ᪆R¦B8gfh§¦B8¬h¨¦B8%¬hᦑ⌱D.ὃKRg¦B.x-a<03.2017®¯°⁐²ᐵJxḄ³ᨵdv´Iஹ.µḄt¶0·:ᨵ5¬᦮ᦪtᑣᦪ2x+3a>0aḄᨬ¼682A.3B.2C.1D.-3ூᫀ௃BV32⚓/Y51⚓

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/N2T+3=0ᨵVᦪ᪷ᑣ᦮ᦪaḄX7A.2B.1C.0D.-Iூ9:;ᫀ௃Cூᑖ᪆௃᪷1NᐗP%QḄ᪷Ḅᑨ[\]^;ᫀ.ூ>?௃?'••ᐵAxḄNᐗP%Q஺-1
/N2T+3=0ᨵVᦪ᪷a34⚓/F51⚓

34Q-1W0*{A=4-12a-l>0QH1•*,{4a<—3-4ᓽaḄuXw7QxNyaW1.3.᦮ᦪ஺ḄXK0.ᦑ⌱C|⚪ὃ
NᐗP%Q᪷Ḅᑨ[\H᪷Ḅᐵ7?⚪ᐵ.8.-ᑡᦪx>0yXxXḄᜧḄ712A.y=xB.y=2x-1C.y=—D.y=x-xூ9:;ᫀ௃Cூ>?௃⚪ᑖ᪆'Aஹy=x,yxḄᜧᜧᦑA⌱⚗┯Bஹy=2x-l,yxḄᜧᜧᦑB⌱⚗┯Cஹy=-,x>0yXxXḄᜧC⌱⚗9:xDஹy=x2,x>0yXxXḄᜧᜧD⌱⚗┯.ᦑ⌱C.ὃ'1.PᦪḄឋ2.ᦪḄឋ3.9IJᦪḄឋ4.IJᦪḄឋ.9.᝞@ῪḄᑖ[K2G5,ᑣ¡ḄᕜKA.9B.7C.12D.9ᡈ12ூ9:;ᫀ௃Cூᑖ᪆௃ᑖ¤¥¦27ῪH§᪷1ᐵ¨©ᓽ].ூ>?௃?'2KῪḄ72,2,5,ªK2+2<5,ᡠ,*ᨵ«¬ᡂ2K§Ḅ72,5,5,ᡠ,Ḅᕜ=12,ᦑ⌱C.|⚪ὃ@ῪḄឋஹḄᐵ@ῪḄឋஹḄᐵ.a35⚓/F51⚓

3510.®AABCḄᑖ[K4ஹ4ஹ6,ᙠAABCᡠᙠ¯☢ᑁ²Nᩩ$´µAABCᑖᒘᡂ·¸ᐸḄN·7@Ὺᑣ¹᪵Ḅ$´»¼]²ᩩ.A.3B.4C.5D.6ூ9:;ᫀ௃Bூ>?௃⚪ᑖ᪆'᪷1@ῪḄឋᑭᵨ4ÄKῪᡈ§^ÅÆᔠ⚪ÈḄᓽ].AE=BEÉ«^ᑮÆᔠ⚪ÈḄ@Ὺᦑ⌱B.ὃ'@ῪḄឋ.11.᝞஺஺7ZU8CḄ᜜Ìᙊ,BC=2,ZBAC=30°,ᑣÏÐÑḄ@AQ2Î71r2jLr?௃᝞ÒÌ஺8ஹOC,©a36⚓/F51⚓

36VZ^C=30°,N8OC=2N8/C=60஺ÛOB=OC,./\OBC7@,.BC=OB=OC=2,.•.ÏÐÜḄK'᫔22Î180Tᦑ⌱A.|⚪ὃ
ᙊᕜÓᳮÐḄ34,Þ@ḄᑨÓHឋ.᪷1ᙊᕜÓᳮ^ᑮN8OC=60஺7?⚪Ḅᐵᡠᙠ.12.᝞ᚖ$AàáḄ$´â8ᑖ[Hãᱥ´£'^=T2620
Gãᱥ´6'
=—x>0
4çAA,BèAÄCD஻xáᑖ[HyáGãᱥ´C2çAC,D,èBÄEF஻xáᑖs[HyáGãᱥ´GçAE,F,ᑣê^ḄXK^AEADA.HB.ë64ூ9:;ᫀ௃Dூ>?௃?'ì48íᙶ᪗KᑣAïᙶ᪗K8Ḅïᙶ᪗K,4,/BE஻xá2Pðïᙶ᪗Kñ4:ó7ãᱥ´y=YØḄ,a37⚓/F51⚓

37Fíᙶ᪗Kx=6=ga,'CD//xá஺ïᙶ᪗K஺:•஺7ãᱥ´y=ஹØḄ••Díᙶ᪗Kx=“7=2a,171AD=a,BF=-a,CE=-a2,OE=-a2,244S-E"D1ADCE3624ᦑ⌱'D.Pஹôõ⚪(|⚪ᐳ6⚪ø⚪4ᑖᐳ24ᑖ)13.ª\ᑖ?'2x2—18=.ூ9:;ᫀ௃2(x+3)(%-3)ூᑖ᪆௃ᐜûת\2üᑭᵨ¯%ý×\ᑖ?ᓽ].ூ>?௃2/-18=2(x2-9)=2(AH-3)(x-3).ᦑ2(x+3)(x-3)ூþ௃ὃ'ª\ᑖ?.14.Ḽ“”Ḅᨵᡃᔠᐵ.("⃬$%ᚆ)()*+8200000ᔴ-8200000ᵨ/01ᦪ3⊤56ூ89:ᫀ௃8.2x106ூ=>௃ᑖ᪆Aᵫ/01ᦪ3Ḅ⊤5CD6aX10"ḄCDᐸlW|a|<10,n6᦮ᦪ.9GnḄHI⌕KLMᦪNᡂaIPᦪQRSTUnḄHPᦪQRSḄUᦪVW.XMᦪH>1InY8ᦪAXMᦪḄH<1InYZᦪ.=>A8200000=8.2x106.Q[A\⚪ὃ_/01ᦪ3Ḅ⊤5`3./01ᦪ3Ḅ⊤5CD6aX10”ḄCDᐸ1Wa|<10,n6᦮ᦪ⊤5Iᐵa⌕899GaḄHbcnḄH.15.defeCgᱏḄidejkᑖl66,8,m-AABC᝞op᪵ᢚstQAQBuᔠ,w38⚓/z51⚓

38ᢚ|6DE,ᑣtan/CBEḄHY7ூ89:ᫀ௃—24ூ=>௃⚪ᑖ᪆A᪷ᢚsḄឋAE=BE,AE=BE=x,ᑣCE=8-x,᪷Gᳮᓽᑡ`>.ᵫ⚪AE=BE=x,ᑣCE=8-x.,.-=/>.ஹ.=ᑣAEḄk6ᐲ.4ὃQAᢚsḄឋGᳮḄᵨQAGᳮḄᵨYᦪ0ḄYὃ⚪ᨵᜧ◤¢£¤¥.16.᝞oᙠ§jC/BCCNHZJ=90°,JD=4,¨©8஺BDLCD,ZADB=ZC.«PYBCj¬SQᑣDPkḄᨬPH6.Aூ=>௃᝞o®Q஺஺EL8c¯QE,X஺P=OEI஺°ᨬP,w39⚓/z51⚓

39A"BD^DC,4=90஺:.NDEB=NDEC=90°=/A,ZB£)C=90°,ZC+ZCDE=90°,ZCDE+ZBDE=9Q0,NBDE=NC,!,:ZADB=ZC,.NADB=ZBDE,-NA=NDEB.ᙠ±18஺KAEBDZ.ADB=NBDE,BD=BD:.DE=ADW,ᓽDPḄᨬPH64.ᦑ4.17.᝞oAB6஺0Ḅ³AB=6,QCY஺஺¬ḄSQ´NACB=45஺«QMஹNᑖlYABஹBCḄQᑣMNkḄHY.ூ89:ᫀ௃3J5ூᑖ᪆௃᪷UµGᳮᑮMNḄIAC,XACIYd·¸¹d·º»bH.ூ=>௃>A¼6QMஹNᑖlYABஹBCḄQᵫfeCḄUµ½AMN=yAC,w40⚓/z51⚓

40ᡠbXAC6d·IMN.ÃINB=90஺Ǽ6ZACB=45஺AB-6>AC=6j^MNkḄHY3&.ᦑ3Ð.Ñ⚪ὃ_feCḄUµGᳮஹÒῪdefeCḄឋcᙊᕜeGᳮ>⚪ḄᐵaY>XÖ×I᎛MNḄHᨵᜧ.18.ᙠÛ☢deᙶ᪗QPàx,yãäåNᣚºᑮQPà-y+l,x+2ã,ᡃêLQPà-y+l,x+2ãëìQPàx,yãḄíîQ.½QPiḄíîQ6P2,QP2ḄíîQ6P3,QP3ḄíîQ6P4,Ã᪵ðñᑮPlP2,P3,P4.…Pn.«QPlḄᙶ᪗6à2,0ã,ᑣQP20I7Ḅᙶ᪗6.ூ89:ᫀ௃à2,0ãöூ=>௃>APiᙶ᪗6à2,0ã,ᑣRᙶ᪗6à1,4ã,P3ᙶ᪗6à-3,3ã,°4ᙶ᪗6à-2,-1ã,°5ᙶ᪗6à2,0ã,ø°“Ḅᙶ᪗6à2,0ã,à1,4ã,à-3,3ã,à-2,-1ãùú•.,2017=2016+1=4x504+1,.”2017ᙶ᪗PQuᔠ,ᦑ:ᫀ6à2,0ã.fஹ>:⚪àÑᜧ⚪ᐳ9P⚪ᐳ90ᑖã19.ýþAàÿ-3.14°+|1-2721-^+yூᫀ௃2ூ௃ᑖ᪆᪷Ḅឋ!"#Ḅឋ!"$᪷%Ḅឋ!"&᦮ᢣᦪ*Ḅឋ!"⌲,-.ᓽ0.%-3.14°+|1-2721-78+1=1+2721-1-2721+2=2.456⚪8⌕ὃ;<Ḅ=ᦪḄ>ᔠ@."ABCᮣE@ᵨGḄឋ!"#Ḅឋ!"$᪷%Ḅឋ!"&᦮ᢣᦪHḄឋ!"I⚪ᐵK.L41⚓/O51⚓

4120.ᐜᓄS"TU#---,,V"ᐸXx=2.x—\x~—\x+1xூᫀ௃Y%=——=2.X—1ூ௃ᑖ᪆᪷ᑖ%Ḅ>ᔠ@."ᐜ.◀\"T.]\"ᓄS^T_ᐭU#ᓽ0.Y%=ᗐ,G+1Ax-!)•(x+1)=d,ᓰf’hx=2i"Y%=2.456⚪8⌕ὃ;<ᑖ%ḄᓄSU#"ᐵKIᑭᵨᑖ%ḄkᑖஹmᑖnoᓄS"pqr%ᑖᙠ⚪XḄtᵨ.21.᝞v"48ஹEஹCஹFᙠ,ᩩxyz"AB=DF,AC=DE,BE=FC.(1)U{LABgADFE#(2)|}/~ஹBD,U{~Io.ூᫀ௃(1){᪆(2){᪆.ூᑖ᪆௃(1)ᵫSSS{ᓽ0(2)|}~ஹBD,ᵫᐰḄឋ!NZ8C=/OFE,{8஻஺ᓽ0.ூ௃{(1)•#BE=FC,BC=EF,ᙠ4/஺X"'AB=DF

42EC3Dᵫ1
MAABCq/\DFE,ZABC=NDFE,AB//DF,AB=DF,"~Io.⚪ὃ;

43ὃ4xḄÈᵨ"ᚁ¹.23.«XÉÊË⁚ÍÎ"É᪥ᔣÉÑÒÓÔÕtÖ"ᩰὁÙÚᐰ᪥30ÜÝXÞßàá<4ÜÝᵨA,B,C,D⊤"ªÒÓᑮḄtÖḄᦪæno<ᑖ᪆ç-"ᑴt<éêëᨵí᦮Ḅç-v.tᦪæᩩᙠç-vtÖᦪæᡧç-vtÖïð᪷ñzòó"ôõᑡ¢⚪1ᩰὁÙöᵨḄ%I_ø"ù;"ᡈ"à᪵";2ðýþᩩç-v⊡ᐙ
᦮ᐰ᪥ᐳ3᝞ᐰ᪥Ḅᨵ5ᝄᐸᨵ3!ὅ#ᵱ%2!ὅ#᝕%(⌕ᙠᝄḄὅ⌱,-./0⊤234567ᵨᑡ⊤ᡈ᪛<=Ḅ>?@ាB⌱,Ḅ-!C%ឋEFGḄᭆ᳛.2ூLMNᫀ௃1R᪵T2ᐰ᪥ᐳ180T3ាBRᵱ᝕Ḅᭆ᳛WூXY௃ᑖ᪆\1᪷^>_`aWR᪵902ᵫ⚪d\ᡠḄ4ghᑮḄᦪW\6———=24,ChḄᦪW\244-6-4=10360\qr`⊡ᐰᩩuv=T3✌ᐜ᪷^⚪dyz᪛<=ᯠ|ᵫ᪛<=@ᡠᨵ`}Ḅ~ាBRᵱ᝕Ḅᑭᵨᭆ᳛_ᓽ`@Nᫀ.XY\1ᩰὁᐰ᪥30ghR,4ghᦑ>_WR᪵T902ᡠḄ4ghᑮḄᦪW\6+—=2436074ᙳght=6Chᨵ10,444⚓/51⚓

44ᵱ2ᵱ3᝕1᝕2ᵱ1ᵱ3᝕1᝕2ᵱ1ᵱ2᝕1᝕2ᵱ1ᵱ2ᵱ3᝕2ᵱ1ᵱ2ᵱ3᝕1•.•ᐳᨵ20`}Ḅ~-!C%ឋEFGḄᨵ8Q2...ាBRᵱ᝕Ḅᭆ᳛W.=205\ὃḄ#ᩩuv=ᡧuv=Ḅ¢ᔠ¤ᵨ¥¦v=§ᨵGḄv=ᑮ¨⌕Ḅ©ª#Y«¬⚪Ḅᐵ®.ᩩuv=}¯°ᙢ⊤²zg⚗´Ḅᦪ^Tᡧuv=µ¶·᧜¹ᑖᓰ»Ḅ¼ᑖ½ᜧ¿.24.᝞=,ᙠ4ABCD#ABÃḄE#CDÃḄ,ÅCCF஻ABÈAEḄÉÊËÌF,ͶBF.প@Ï:DB=CFT(2)᝞AC=BC,ÓᑨÕÖÃuBDCFḄu<Ï×7Ḅ~Ø.ூLMNᫀ௃পÏ×ÙY᪆T(2)ÖÃuBDCF#ÚuᳮᵫÙY᪆.ூXY௃পÏ×\TCF஻AB,T.ZDAE=ZCFE.Ý\DE=CE,ZAED=ZFEC,45⚓/51⚓

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3500ᐗ5!ᵯᾯ"#:
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4000ᐗ.ூ26⚪qr௃sF:ᵬ!ᵯᾯx#48000<3500x+3000l5-x<5000ru6WxW0xḄe᦮ᦪr6,7,8,9,10,ᡠ}ᐳᨵ5!:Kூ27⚪qr௃sZᑭWᐗ46⚓/51⚓

46w=(4000-3500)x+(3800-3000-a)=(a-300)x+12000-15aa=300at,(2)XZᑭ._`Flᵬ!ᵯᾯ6#5!ᵯᾯ9#`b./cᨵᑭ(ᑭᡂ).26.᝞AB஺OḄBCᑗ஺OAB,AC0OAD.(1)jAB2=AD.ACk(2)DᑮᙊAB¡`AABC¢Ὺ¤¤¥'BCூefgᫀ௃(1)¦§r᪆k(2)DᑮᙊABX`AABC¢Ὺ¤¤¥.ூqr௃ᑖ᪆j(1)ª«BD,᪷¬ᑗḄឋ¯°ᙊᕜ¤1ᳮu³ADBs/iABC,ᯠµ᪷¬¶¤¥Ḅឋ¯j¶¤¥Ḅb]·ᡂ¸¹¦ᓽ»k(2)᪷¬¶¤¥Ḅឋ¯¼ᑨ1°¢Ὺ¤¤¥Ḅឋ¯uNBAD=/ABD=45஺ᯠµ᪷¬ᙊᕜ¤1ᳮu¾¿.qrj(1)¦jª«BD,᝞ᡠÀ.jAB஺OḄBCᑗAB,.\ZADB=ZABC=90°.XVZBAD=ZCAB,.'.³ADB^AABC,,BPAB2=AD«ACkABAC(2)rjDᑮᙊABX`AABC¢Ὺ¤¤¥ᳮᵫ᝞ÂjVAADB^AABC,AABC¢Ὺ¤¤¥...³ADB¢Ὺ¤¤¥k./BAD=NABD=45஺.×—••AIFBD-DᑮᙊABX`4ABC¢Ὺ¤¤¥.47⚓/51⚓

47Åj_⚪Æ⌕ὃÈJ'ᑗḄឋ¯]ᵨ°¶¤¥Ḅᑨ1¼ឋ¯ᐵÌ^ᵫᑗḄឋ¯°ᙊᕜ¤1ᳮÍ+ÎÏ᪀⌼¶¤¥.27.᝞Òᱥyugx'+bx+c¼xÙAAஹBH¼yÙAC,ᐸbßÙÒᱥAD,xÙAE,89OB=OC=6.(1)ÒᱥḄr᪆ãäDḄᙶ᪗k(2)ª«BD,FÒᱥèO/FAB=/EDB`FḄᙶ᪗k(3)éêAxÙḄÒᱥAMஹNH}íMNb¤îï¥MPNQ,PᙠxÙèBPQ=gMN`ï¥b¤MNḄó.1,g7ூefgᫀ௃(1)y=,x-2%O6,DḄᙶ᪗(2,-8)(2)FḄᙶ᪗(7,j)ᡈ(5,-)(3)ï¥b¤MNḄó÷+1ᡈ÷-1.ூqr௃ᑖ᪆j(1)ᑭᵨø1ùᦪúᑡz{üýþᦪr᪆ã.(2)ᑭᵨr᪆úNFAB=NEDB,tanZFAG=tanZBDE,ᔆᙶ᪗.(3)ᑖᙠxᙠxᑖOMN.(1)VOS=OC=6,!.8(6,0).C(0,-6).%48⚓/)51⚓

48—x62+6b+c=02c=-61i+ᱥ-Ḅ᪆012-2136.••DḄᙶ᪗1(2,8).3519(2)᝞78ᙠx98Ḅᙶ᪗1(x,5'232:36).;8<8GLv=G,1,᧕?@஺%=2,ᑣZG=x+2,FG=-92X-2X-6.2•:NFAB=/EDB,tanZFAG=tanZBDE,1r2_2r-6ᓽ2*zx°_J_,x+22@X1=7,x=-2(EF).29x=78G,9:8Ḅᙶ᪗1(7,-).%49⚓/)51⚓

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