2022-2023学年河北省沧州市中考数学专项突破仿真模拟试题（一模二模）含解析

《2022-2023学年河北省沧州市中考数学专项突破仿真模拟试题（一模二模）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
ᓅḕὃᦪ⚗ẚ⚪ஹ⌱⌱ᜧ⚪10⚪⚪3ᑖᐳ30ᑖᙠ⚪ᑡḄ⌱⚗,ᨵḄ⚪ᓱ!⚪"ᡠ⌱Ḅ⌱⚗$%.1.-2Ḅ*11A.2B.-C.---D.—2222.1234ᦻᓄ⍡8Ḅ9:ᐸ<9ᜧ=6700000m,B6700000ᵨDEFᦪH⊤J2
A6.7xl05B.6.7xlO6C.0.67xlO7D.67x1083.᝞MNO/QNOa,8TUVd஻4Zl=110°,ᑣN2Ḅ`ᦪA.2O0B.70°C.90°D.110°4.cᐵexḄgᨵhijḄkᙠᦪl᝞MᡠJᑣmgᨵhijḄkA.x<2B.x>1C.1

1DBA.6cmB.4cmC.3cmD.2cm8.}ᑡtḄ)A.(a3)2=a5B.a2>a3=a5C.a6^-a2=a3D.3a2-2a2=19.᝞M~ᙠ஺OOA_LBC,ZAOB=70°,ᑣNADCḄ`ᦪ2A.70°B.45°C.35°D.30°10.6>0ᦪ=62++/-1ḄM᝞}ᑡMᡠJ.᪷Mᑖ᪆,஺Ḅ*heA.-2B.-1C.1D.2ஹ⚪ᜧ⚪6⚪,⚪4ᑖ"ᐳ24ᑖ$%&ᑡᔜ⚪Ḅ*+,ᫀᑏᙠ,⚪ᓱ12Ḅ345.11.ᑖki~mn2-2mn+m=.12.¡Ḅ᜜230஺ᑣ£Ḅᑁ¥2.13.c2x-3y-1=0,¦ij5-4x+6yḄ*2.14.§᪛᪍EᐳᨵEª16002«kEªᨬ®Ḅ¯᜜°±tu⚗"ḄyzE᪥²³´µ«200qEªᐸᨵ85qEª⊤Jᨬ®Ḅ⚗"¶·ᑣ¸¹|º᪥Eªᨬ»Ḅ¯᜜°±tu⚗"2¶·ḄEªᨵ____.15.ᡧḄᙊ¾2120஺¿926ᐔᑣᡧḄ☢Â__.16.᝞MBÃZ8CDÄ/ÅÆÇÃ/᜛CDÉÊ40ḄាÌQDÍᔠAB'UCDeE.6,ᑣZUECḄ☢Â2.2⚓/<47⚓

28ஹ9,⚪17.|~2sin6(T+|3-5/3|-(y)'+(n-2018)°x1Y+218.ᐜᓄÚÛÜ*~--ᐸx=-3.x+2x—1x~—2x+119.2ÝÞßÝàáᦟ±ᙳ⊝åæoçèᜧ«éẠᦟ±Ḅᢗᐭ2015wºçᢗᐭéẠᦟ±5000íᐗ2017wᢗᐭéẠᦟ±7200íᐗ.ܺçmïwᢗᐭéẠᦟ±Ḅwᙳð9᳛.20.᝞MᙠA/BC,4=90°,A(I)ᵨᙊó¥Nô1஺õöᙊ¾õᙠZCVQN5,3Cï÷Tᑗ(ùᶇ1Mûügᨵᑏ1H¥þÿ).(2)N8=60஺48=3,0Ḅ☢.21.᝞C0E!"#Eஹᑖ&ᙠ/Cஹ3c*EFHAB.(1)+,-"EF8/"0(2)1CD=4,஺ஹ3#4Ḅ56.73⚓/947⚓

322.;ᓤ⁚ᔛ?@ABCDḄEFGH.IᔊKᨴMKNᨌPQḄᝤᝤᵨTᨵVWX@YḼ[\?@(?@◀^ᩞTᨵ`᜜ᐸc[ᑗe`)ᐸAfg?3hiᨵ[\jk?lPQmAnopq[hfg?Ḅᭆ᳛t+.(1)X@Ajk?Ḅhᦪ0(2)PQwnopq[h?@(Tᨵxy)7zw{pq[h?@|}ᵨ᪛"ᡈᑡ⊤,PQ3wpᑮḄjk?Ḅᭆ᳛.23.᝞ᦪy="(x>0)Ḅ#ᨴ8,#4Ḅᙶ᪗t(1,2).#4/C,X/C=l(#C#Ḅ)#CCD஻xᦪḄ#஺#8BE_LCD,ᚖEᙠ8*OC,0D.(1)OC஺Ḅ☢024.᝞஺஺NBCḄ᜜ᙊ஺#ᙠ8C*N8/CḄᑖ஺஺#஺3஺ஹCD,#஺8cḄN8Ḅe#P.(2)+,APBDADCA(3)49=6,NC=8P8Ḅ.25.᝞ᡠ¢ᙠ☢£!ᙶ᪗¤A¥ᱥy=ax=bx+cA(-3,0)ஹB(1,0)ஹC(0,3)#ᐸ⚔#tD,AD,#PAD*[h¨#(TᨵAஹD©ᔠ)#PyḄ74⚓/947⚓

4ᚖᚖ#tE,AE.1¥ᱥḄᦪ«᪆®ᑏq⚔#DḄᙶ᪗02᝞°P#Ḅᙶ᪗tx,y,4PAEḄ☢tS,Sx±4Ḅᦪᐵ¤£ᑏq³´µxḄ¶·¹®qSḄ·03ᙠ2Ḅᩩ»S¶ᑮ·#PXḄᚖᚖtF,EF,¼4PEF½£EFᢚ¿#PḄÀÁ#t#ÂqḄᙶ᪗®ᑨÄ[ᔲᙠÆ¥ᱥ*.75⚓/947⚓

52022-2023
ᓅḕὃᦪ⚗ẚ⚪[ஹ⌱[⌱ÈÉᜧ⚪10P⚪ÌP⚪3ᑖᐳ30ᑖÎᙠÌP⚪ᑡqḄ-h⌱⚗A,Ðᨵ[hÑÒḄ|¼Ó⚪ᓱ*ÀÁ⚪Õᡠ⌱Ḅ⌱⚗Ö×.1.-2Ḅ·ÈÎ11A.2B.-C.----D.—222ூÑÒÓᫀ௃Aூᑖ᪆௃᪷Üᦪ*ÝhᦪÞ#Ḅ56ßàáhᦪḄ·Ḅâãä«ᓽæ.ூç«௃ᙠᦪ*#-2ᑮÞ#Ḅ562,ᡠè-2Ḅ·2,ᦑ⌱,A.2.têëᦻᓄ⍡ïḄðᐸ9ᜧñ6700000m,ò6700000ᵨóôõᦪ⊤¢t
A.6.7X105B.6.7X106C.0.67X107D.67x10sூÑÒÓᫀ௃Bூç«௃6700000=6.7x106.ᦑ⌱B.#ö,÷⚪ø⌕ὃûüᵨóôõᦪ⊤¢ýᜧḄᦪ[þ"taxion,ᐸAl<|a|<10,ÒâanḄ·«⚪Ḅᐵÿ.3.᝞/a,6@஻6,Z1=UO°,ᑣ/2Ḅᦪூᫀ௃B6⚓/47⚓

6ூ௃!a஻b,N1=110஺,᪷+,-./0ᑁ23⊡56/2=180஺-4=180஺-110஺=70°,ᦑ⌱B.4.@ᐵBxḄDᨵFGHḄᙠᦪJK᝞ᡠMᑣNODᨵFGHḄ012A.x<2B.x>1C.12ᔣ^_`<,Wᔣc_ᦪJKḄdXᦪJᑖᡂ@fg᝞hᦪJḄijgK☢⊤MSḄḄᩩᦪDᨵFGḄOᦪj᪵noNgpDᨵFGHḄS.ᨵqOp⌕qO.ூ௃sᙠ⊤MSt“N”,"W'⌕ᵨz{ᙊd⊤M`">”⌕ᵨ}{ᙊd⊤M.~,NODᨵFGHḄ1

7BஹDᨵJ¬«¬«Dᨵᔠ⚪·;CஹJ¬«¹¬«Dᨵᔠ⚪·`DஹJ¬«¹¬«Dᨵᔠ⚪·.ᦑ⌱A.º⚪ὃ¼¬«`J¬«.7.!s½«¬2ZC8஺BdO,OEHDCBCE,4)=6cm,ᑣ0EḄ¾()ூᫀ௃Cூ௃•••±¯«½«!.OB=OD,CD=AD=6cm,'JOE//DC,!.0E$48CDḄ.0£=yC£)=3cm.ᦑ⌱sC.8.ᑡÂḄ()A.(a3)2=a5B.a2,a3=a5C.a6-5-a2=a3D.3a2-2a2=lூᫀ௃Bூ௃ᑖ᪆s᪷+/ÃᦪÄḄÅVஹÃᦪÆ◀VVᑣஹÆÅUḄÂVᑣᔠÈ/É⚗VᑣjjᑨÌᓽ5.sA.(/)2=*.ᦑA┯Ï.B.a2*a3=a5.ᦑB.C.a6-i-a2=a4.ᦑC┯Ï.D.3a2-2/='.ᦑD┯Ï.ᦑ⌱B.8⚓/47⚓

8dÐsº⚪ὃ¼Ñ/ÃᦪÄḄÅVஹÃᦪÒ◀VVᑣஹÓḄÅUḄÂVᑣᔠÈ/É⚗Vᑣ⚪ḄᐵÔÕÖ/Ãᦪ×ḄÅVஹ◀VVᑣஹÄḄÅUḄÂVᑣᔠÈ/É⚗Vᑣ.9.᝞!sᙠ஺0OA_LBC,ZAOB=70°,ᑣNADCḄᦪூᫀ௃Cூᑖ᪆௃ᐜ᪷+ᚖÚÛᳮ6ZÝ=/Þᵫᙊᕜ2Ûᳮᓽ56Záâ.ூ௃s'!OA±BC,408=70஺AB=AC»!.ZADC=-ZAOB=3>5°.ᦑ⌱C.º⚪ὃ¼Ḅᙊᕜ2Ûᳮã!ᙠ/ᙊᡈFᙊ/äᡈFäᡠ¬Ḅᙊᕜ2FåFBNᩩäᡠ¬Ḅᙊ{2Ḅjæ⚪ḄᐵÔ.10.!6>0t,çèéᦪÑ=0?+ê`+஻2-1Ḅë᝞ᑡ±Oì.-ᡠM.᪷+ëᑖ᪆,஺ḄíFB\J7.JvIZTFVA.-2B.-1C.1D.2ூᫀ௃cூ௃ᵫ5!1ஹ2,O«Ḅ¬JyJ,ᡠîx=-b/2a=036b=0,h>0ïð`3OñᱥóôᔣK9⚓/47⚓

9ᙶ᪗÷da2-1=0,6Ql=l,Q2="l(úû)¬Jx=-bi2a=-b/251>0>6b>0,Dᨵ´⚪·4Oñᱥóôᔣ“V0,ᙶ᪗÷d,a2-1=0,6஺1=1(úû)஺2=-1¬Jx=-b/2a=-b/2x(_1)>0,ᡠîþ>0,´ᔠ⚪·ÿᡠ஺Ḅ1.ᦑ⌱C.ஹ⚪(ᜧ⚪6⚪⚪4ᑖᐳ24ᑖ)ᑡᔜ⚪Ḅ!"ᫀᑏᙠ"⚪ᓱ'(Ḅ)*.11.ᑖ,-./mn2-2mn+m=.ூ!"ᫀ௃m(n-l)2ூᑖ᪆௃✌ᐜ<=>-.m,ᯠAᑭᵨDᐰFG>.HI-.ᑖ,.ூJ,௃K.=m(஻2—2n+l)=m(n—l)2.⚪N⌕ὃQḄR-.ᑖ,STẠ⚪V.-.ᑖ,ḄGWᨵ<=>-.ஹ>.WYᓝ['\Wᡃ^✌ᐜ_◤⌕ὃ⇋<=>-..12.bcdefḄbc᜜hi30஺ᑣmḄᑁhYi.ூ!"ᫀ௃1800஺ூJ,௃,/᪷q⚪rs/tcdefḄeᦪiv=12,30ᡠwtcdefḄᑁhYi(12-2)X180°=1800°.ᦑ"ᫀi1800°.13.y2x-3y-1=0,|lj5-4x+6yḄi.ூ!"ᫀ௃3.ூJ,௃⚪ᑖ᪆/ᵫ2x-3y-1=0s2x-3y=l,ᡠw5-4x+6y=5-2(2x-3y)=5-2x1=3.10⚓/47⚓

10ὃ/ᦪ..14.᪛᪍ᐳᨵ1600i,ᨬḄ᜜⚗Ḅ᪥¡¢£Q200¤ᐸᨵ85¤⊤§ᨬḄ⚗R¨©ᑣª«¬᪥ᨬḄ᜜⚗i¨©Ḅᨵ.ூ!"ᫀ௃68085ூJ,௃,/ᵫ᪵ᨬḄ⚗R¨©Ḅᦪᡠᓰ¯°if200ª«¬᪥ᨬḄ᜜⚗i¨©Ḅᨵ1600x——=680,200ᦑ"ᫀi680.15.²³ᡧfḄᙊ¶hi120஺·¸i6ᐔᑣᡧfḄ☢»R—ூ!"ᫀ௃277t1204/,ூJ,௃⚪ᑖ᪆/½ᡧfḄv¾ir.ᑣ------76ᐔ3,sr=9,JᡧfḄ☢»180Â%27n.ᦑ"ᫀi27n.ὃ/ᡧf☢»Ḅ«Ä.16.᝞ÆÇfABCDÈAÉÊËÇfAB'CD9:,ÌÍNCḄាÐÑDÒᔠAB'CDE.y43=6,ᑣÔ4ECḄ☢»i.ூ!"ᫀ௃4Qூᑖ᪆௃᪷qÉÊANCḄាÐÑ஺ÒᔠᑭᵨÉÊḄឋØsᑮÚhÛhf4848=30஺,ÜᵫÉÊAÇfѲ³ÇfᐰÝÇfḄឋØsᑮ/D4Ei30஺HßsᑮNEAC=NECA,ᑭᵨhàesᑮNE=CE,

11ூJ,௃,//ÉÊA4CḄាÐÑ஺ÒᔠBPAD=^AC=^AC,éᙠZJCP=30°,ᓽ/ZMC=60஺ZDADf=60°f!./DAE=30஺,:./EAC=/ACD=3஺஺,•\AE=CE.ᙠR"DE-x,2(6-x)=x,,s/x=4,.EC=4,ED=2,AD=^AE2-DE2=2733ᑣêEC=/CTO=46.ᦑ"ᫀi4G.⚪ὃQÉÊḄឋØë30ìÚhÛhfḄឋØâãäᳮwÝῪÛhfḄឋØḄᵨîïðñឋØÝäᳮR,"⚪Ḅᐵò.8ஹ9,⚪17.«Ä/2sin60°+|3-73I-(y)'+(n-2018)°ூ!"ᫀ௃2ூJ,௃ᑖ᪆/K.ᑭᵨhḄÛhóᦪḄᦪrôwÝõᢣᦪ÷ஹø᦮ᦪᢣᦪúWᑣ«Äᓽá.J,/K.=2X@+3-G-2+1=2.2û/⚪ὃQüᦪḄÄîïðñÄWᑣR,"⚪Ḅᐵò.X1x+218.ᐜᓄþÜ/bÛ——~ᐸ
x=-3.x+2x—1x—z.x+1ூᫀ௃,-1.x+212⚓/47⚓

12ூ௃ᑖ᪆ᐜ᪷ᑖḄᔠ!"ᑣᓄ%&'()XḄ*+ᐭ-./.&=-------L•*121x+2x-1x+2XX-1x+2x+21x+22JC=-33'&=—--=-1.-3+2567⚪9⌕ὃ<ᑖḄᓄ%=*'⚪Ḅᐵ?@ABCDᑖḄᔠ!"ᑣ.19.EFGHFIJᦟLᙳ⊝OP'QRSᜧUVẠᦟLḄᢗᐭ'YZ2015[\RᢗᐭVẠᦟL5000]ᐗ'2017[ᢗᐭVẠᦟL7200]ᐗ.=\R_`[ᢗᐭVẠᦟLḄ[aᙳbc᳛.ூᫀ௃\R_`[ᢗᐭVẠᦟLḄ[aᙳbc᳛E20%.ூ௃ᑖ᪆e\R_`[ᢗᐭVẠᦟLḄ[aᙳbc᳛Ex,᪷2015[f2017[\RᢗᐭVẠᦟLᦪh'ᓽ./jᐵkxḄᐗlmno'pqᐸ*ᓽ./jrs.e\R_`[ᢗᐭVẠᦟLḄ[aᙳbc᳛Ex,᪷⚪t/5000(1+x)2=7200/xi=0.2=20%»X2=-2.2(vw).\R_`[ᢗᐭVẠᦟLḄ[aᙳbc᳛E20%.567⚪ὃ

132
NB=60஺'AB=3,=஺Ḅ☢¡.ூᫀ௃¢1
£᪆¤¢2
37tூᑖ᪆௃¢1
/8ஹ8C`ᑗ.᪷¦aᑖ§Ḅឋ©.Z⌕N43CḄ¦aᑖ§'¦aᑖ§ACḄª5«@5PḄ¬.¢2
᪷¦aᑖ§Ḅឋ©!30஺¦Ḅ¦®¦¯Ḅឋ©.=°±'ᯠ³=ᙊḄ☢¡.ூ௃¢1´᝞ᡠ¶'ᑣ஺PEᡠ=Ḅᙊ.(2)VZABC=60°,BPFᑖNABC,!.ZABP=30°,"!4=90஺'!.BP=2AP,·MB
'4B=3,ᵫ¹º»ᳮ./AP?+AB?=BP2=4AP23■-AP=y/2>S-½•(e)=3n.QP21.᝞¾42C¾€<£´£@}®¦¯'5EஹFᑖÂᙠZCஹ3C'S.EF//AB.1
=ïEFCQ@į¤2
eCD=4,=஺ஹF`5ÅḄÆÇ.14⚓/47⚓

14ூᫀ௃¢1´£᪆¤¢2´4Ëூᑖ᪆௃¢1´᪷įḄᑨ»»ᳮ'ÍÎ}ḄaÏï@į'ᵫAABC6ACDE@}®¦¯'./j¦pÅḄ}~ᐵ'ÐÑïEFCD@į¢2´Ö×஺b,CEªk5G,ᵫ¢1´Z஺«@įEFC஺Ḅᩩ·¦§'᪷įḄឋ©f30஺¦Ḅ*.-jrÝ.ூ௃¢1´¾8E@}®¦¯'!.ED=CD.N4=NDCE=NBCA=NDEC=60°.\AB//CD,DE//CFáEF//AB,\EF//CD.ïEFCD@į.¢2´Ö×DF,6CEªk5G,ᵫC£>=4,DCDF=30°,.ZCG=2,Z´G=V42-22=273,:.DF=4822.æᓤ⁚ᔛêë@
ìíîḄïðñò.óᔊõᨴ÷õøᨌ'úûḄᝤᝤᵨᨵýþëÿḼ
◀ᩞᨵ᜜ᐸ
ᑗᐸᨵ
!"
#Ḅᭆ᳛'3.1+,Ḅᦪ.20!"
ᨵ123405!"
67ᵨ᪛:;ᡈᑡ⊤?,+0!ᑮḄB#Ḅᭆ᳛.315⚓/F47⚓

15ூKLMᫀ௃1
,ᨵ2.2
6ூPQ௃QR1
S,ᨵXTU✁᪷X⚪ZQZx=2,x+22[\]X=2#^ᑖ`abḄQ,.••,ᨵTU✁2;2
ᵨ✏Iஹ✏g⊤h✏i◍ᵨTkஹT2⊤hTU✁l᪛m;::;<=✏1✏.?I?2/KAAA:;<=✏2?1?2✏1@I?2✏1✏2?2✏1✏2ᳫ1ᵫ᪛m;pᡠᨵrs"Ḅtuᨵ12vᓽ✏1✏P✏1?J✏J?2✏J✏J✏:?I✏2?2?I✏1,?J✏J,?1?B"?2,✏I?2✏2?2?J21AP_=_0!ᑮḄB#TU✁᪗y126k23.᝞;{p|ᦪy=—x>0
Ḅ;}~4B,~4Ḅᙶ᪗'1,2
.~/C஻y,xZC=1~C~4Ḅa~஺C£஻x|ᦪḄ;}~஺~88E1.C஺,ᚖEᙠC஺஺C,OD.1
+OCDḄ☢.2
+CEḄ.316⚓/F47⚓

16ூKLMᫀ௃(1)y:(2)—.23ூᑖ᪆௃(1)᪷X|ᦪ᜛=±(x>0)Ḅ;}~4(1,2),+|ᦪQ᪆`5ᨵNC஻yACX=1+"C~ᙶ᪗ᯠ§᪷X஺஻x+஺~ᙶ᪗¨r+CDᑭᵨ«¬:☢`+"OCDḄ☢.(2)¯+Z3~ᙶ᪗°¨+ZCE.ூPQ௃QR(1)♦.•|ᦪ²="(x>0)Ḅ;}~/(I,2),X42=4ᓽk=2AC=\,.♦.~CḄᙶ᪗'(1,1)RCD஻x~஺ᙠ|ᦪ;µ...~஺Ḅᙶ᪗'(2,1)**,SAOCD=D*1*1=·.(2)'!BE=^AC,!.BE=^■:BELCD,_3♦*♦~BḄ¹ᙶ᪗#
24.♦.~8Ḅ»ᙶ᪗#
34,1CE=---1=—.33½⚪ὃ¿ÀÁÂ|ᦪÃᔠ⚪.Q⚪ᐵÆ#ÇÈÉᵨÀÁÂ|ᦪḄឋË+"Q᪆`Ì~Ḅᙶ᪗.24.᝞;஺஺#A/BCḄ᜜ᙊ஺~ᙠ8cÏNB/CḄÑᑖ஺஺~஺80ஹCD,~஺8cḄÑÒ48ḄÓ~P.317⚓/F47⚓

17AD(1)+ÕRPD#஺஺Ḅᑗ;(2)+ÕRPB஺ÖQC4.(3)48=6,4C=8+P8Ḅ.25ூKLMᫀ௃পÚQ᪆.ফÚQ᪆.বÝூᑖ᪆௃(1)0D,᪷X#NA4cḄ¬Ñᑖ°¨rZ/Á1O=NC/D,DB=DC᪷XᚖßàᳮḄâãrZ஺0,8C,ᵫPD"BC,ᓽrÕäOO_LP஺ᓽrÕäæ஺#0஺Ḅᑗ.(2)ᵫPD//BCKL,ZABC=ZP,᪷XçᡠèḄᙊᕜ¬êrZN45C=N/OC,°¨rZë4Z>C=NP,᪷XᙊᑁîÏ:Ḅè¬ï⊡rZNABD+NDCA=180°=ZABD+NPBD,rZNPBD=NDCA,ᓽrÕäAPBD~ADCA(3)OD,᪷XòßᡠèḄᙊᕜ¬ê90஺°¨ôõàᳮ+Z5C,ᵫ஺8=DC,°MNLDB,DC,᪷X(2)Ḅtãᑡ"ÁÂ`öᐭᦪøùúᓽr+Zæ8Ḅ.ூPQ௃(1)ÕäR00,᝞;•••஺#ZBNCḄ¬Ñᑖ,ABAD=ACAD318⚓/F47⚓

18■DB=DC•••DO1BC■!PD//BC■.OD1PD•••PDOOḄᑗ.2
•••PD//BC!.NABC=NP!.AC=AC"ABC=ZADC!.ZADC=NPZABD+ZDCA=180஺=ZABD+NPBD,Z.PBD=ZDCA•••APBDADCA3
᝞;0஺P•••BC#஺஺Ḅòß
.ABAC^90°,ZBDC=90°ᙠ஺AB=6,AC=8BC7ABஹAC஺=10DB=DC!.BD=DCᙠR”BDCOC=8C=52DC=DB=BC=52319⚓/F47⚓

19••/XPBD,/\DCA,_P_B___B__D_"DC~CAᓽ=û5V28PB=—4½⚪ὃ¿yᑗḄÕäôõàᳮᚖßàᳮḄâãü«¬:ḄឋËᑨàòßᡠèḄᙊᕜ¬ê90஺êçᡠèḄᙊᕜ¬êçஹþஹᙊᕜ¬ÿḄᐵ⚪Ḅᐵ.25.᝞ᡠᙠ☢ᙶ᪗ᱥy=ax°+bx+cA(-3,0)ஹB(1,0)ஹC(0,3)!ᐸ⚔!$D,%&AD,!P'AD()*!(,ᨵ.AஹD/ᔠ)2!P3y4Ḅᚖᚖ6!$E,%&AE.(1)7ᱥḄ8ᦪ᪆;<ᑏ>⚔!DḄᙶ᪗?(2)᝞@P!Ḅᙶ᪗$(x,y),4PAEḄ☢A$S,7S.xBḄ8ᦪᐵ;&ᑏ>CDExḄFGI<7>SḄGJ(3)ᙠ(2)ḄᩩLMNSFᑮGP2!P3X4Ḅᚖᚖ6$F,%&EF,Q4PEFREFᢚT!PḄUV!$!W7>PḄᙶ᪗<ᑨZᔲᙠ\ᱥ.9ூ^_`ᫀ௃(1)y——x1—lx+3,(-1,4)J(2)SMPE——x"—3x(-3

20(2)ᵫPᙠAD’ᑣi7AD᪆;⊤P!.ᵫᡠSi⊤pqᵫ8ᦪᨬGឋ~᧕oSᨬG.3(3)ᵫᨬGPP3),ᑣE.C/ᔠ.P'23PWLy4j22i7ᔜpqoP'ᙶ᪗.ᑨZP'ᔲᙠ\ᱥlx$ᙶ᪗mᐭ᪆;ᑨZᔲ$3ᓽi.e⚪᪆??(1)..,ᱥy=ax?+bx+c!A(-3,0)ஹB(1,0)h!ijᱥ᪆;$y=q(x+3)(x-l).;!C(0,3)ᙠᱥ3=஺(0+30-1)o஺=(1.ᱥḄ8ᦪ᪆;$?y=—(x+3)(x—1),ᓽy=—/—2x+3.,•*y——x2—2,x+3=-(x+l)~+4ᱥ⚔!ᙶ᪗D$(-1,4).(2)jAD$᪆;$V=஻?x+",VA(-3,0),D(-1,4),-3TW4-77=0m=2•{),o{,-nt+஻=4=6AD᪆;:y=2x+6.TPᙠAD,AP(x,2x+6),S=-PE•y=~(-x)(2x+6)=-x2-3x(-3

21VZPFE=ZP,FE,NFEN=NP'FE.J.EN=FN.jEN=m,ᑣFN=m,P'N=3-m.ᙠRtaP'ENV3-/M2+f|'|=2,.-.m=y.9,/.OM=EO-EM=-.599!.P'-------...N2+3/101005.•.!P',ᨵᙠ\ᱥ.ὃ!?1.8ᦪᔠ⚪J2.ᢚT⚪J3.¡ᦪ¢ḄVᵨJ3.¤!Ḅᙶ᪗.¥¦ḄᐵJ4.8ᦪḄឋ~J5.ᵫ§▭⚪ᑡ8ᦪᐵ;J6.ᢚTUªḄឋ~J7.«¬¡ᳮ.t22⚓/w47⚓

222022-2023
ᓅḕὃᦪ⚗ẚ⚪ஹ⌱⌱D1.®aஹbஹc¯ᨵᳮᦪ°±2a-3b+cḄ²³ᦪA.3b-2a-cB.-3b-2a+cC.3b-2a+cD.3b+2a-cx+y2.᝞@ᑖ;Ḅx´ு¯᡽ᜧ3¸,°±ᑖ;ḄG2xyA.᡽ᜧ3¸B.,ᨵDC.¹º3¸D.¹º6¸3.Mᑡᔜ;»ᵨ¥¼½;¾¿Ḅ)A.B.(("9)("J6)C.D.4.Mᑡ,ᨵi»ḄA.ÁÂPÃÄᓣB.ᙠᓭ᩽!ÈᑮÉÊ¥ᔣC.ÌÍÎ*PÏὑᓱÒÓD.ÌÍÎ*ÔᾙÖ×5.MᑡᐵXḄ¥¦?(l)ax2+bx+c=OJঝ3(x-9)2-(x+1)2=1J(3)x+3=—Jট(a2+l)x2-a=0JঠJx+1=xX-1,ᐸ(ᐗ¥¦Ḅ)ᦪA.1B.2C.3D.46.®l!Z1,3
ᔣÜÝ2)ᓫÄßᔣMÝ4)ᓫÄoᑮ!2,ᑣ!BḄᙶ᪗$A.(-1,0)B.(-1,-1)C.(-2,0)D.(-2,-1)7.᝞ÃàḄáâB7B.□ä8.ᙠ2016åᡃçºèéᐺëìíî10)ïîᓫÄᡂñò¾᝞ᡠUó10)ïîᓫÄḄᡂñMᑡô¢┯öḄt23⚓/w47⚓

23B.ᙳᦪ90C.
ᦪ90D.᩽15ZCBD=2ZBDC,ZBAC=44",ᑣNCADḄᦪA.68°B.88°C.90°D.112°10.᝞!"#/8CD%CEFGḄ)*ᑖ,-ஹ”01A/EGḄ☢3Ḅ45B.67ஹ஻Ḅᜧ7:;ᐵC.=6mḄᜧ7ᨵᐵD.=6nḄᜧ7ᨵᐵஹ⚪D11.?ᙢ?ᜩḄBC-2࠷,BC-8࠷,FᜩḄC࠷.12.GHIᐰᳫLᑖMNᨵ8500000ᔴPQ᣸ᐭTUVWᑣLᑖMḄ᣸PXᵨZ[\ᦪ]⊤_`ᔴ.13.bᦪ-2,-y,0,4
defgᦪ\m,ibjkḄlgᦪ
defgᦪ\n,nk=mn,ᑣ!pqrᦪy=kxḄtulஹt▲Ḅᭆ᳛.14.᝞.y*"#zᱏN8C஺ᢚ~)8ஹC8ᙳᙠ8஺LᢚQBEஹBF,ᑣNEBFḄᜧ7.u24⚓/47⚓

2415.P(a,b)ᙠy=x-lQ(-a,2b)ᙠy=x+lᑣᦪa?-4b?-1=.16.᝞ᙊOḄ18=2,ᦋCD஻AB,ZCOD=90°,ᑣ
▢ᑖḄ☢3.8ஹ9,⚪D17."(3x+l)2=9X+3.18.᝞A,B,C,DᙠfᩩABFgZ^DCE.¡¢£¤¥¦(§ᑏ¡lg©Ḅ¤¥)19.2016«3ᨴᐰ®¯°ᑭ²³?ᦪ[ᐶµ7¶·®¯¸¹¡º⚣᳛Ḅ¼½Aῃ¿ÀÁ.B.Â⁐ÄÅ.C.ÆÇÈÉ.D.ÊËÌᩗμ½ÏÐÑÒ᪵LgÔ[=b
⌱Öfg"ᡃᨬᐵÙ"Ḅ¼½᝞᪷G¤ÛÜᑴḄ®Þßᨵà᦮ḄHI.§᪷GHIâãḄäåækᑡè⚪(1)êë
fᐳÑíÔ[(2)ᩩ#HI
m=,n=(3)ᡧ#HI
¼½Bᡠᙠᡧ#ḄᙊðḄᦪ(4)bñ᪥[ó
ôõÒefgᨬᐵÙ¼½DḄ[óḄᭆ᳛ö÷¦u25⚓/47⚓

25ᩩFGHIᡧFGHIni20.᝞ᙠø☢ᙶ᪗ûxQy
ýþy=—
y=-2x+2.x(1)Ḅ(2)
y=-2x+2sḄᙶ᪗.21.᝞"#ᙠ%/BC)#BC=AC,*8c-
.Ḅ஺஺0182஺#DELAC,ᚖ4-E.প6஺7Ḅ)ফᑨ:DE஺஺Ḅ=>ᐵ@#A6BCḄDE;বH஺OḄ
.-18,co=—)஺EḄK.322.-M᪍OPᡃRS᜜UVWXYᐷḄ[\#]◤_`/abஹ8abᑖef〈100ᔴV50ᔴ[\ᱥl.mᱥlᙠᵬopqᨵ80ᔴ#sopqᨵ70ᔴ#Huᵬஹsvopf〈ᱥlᑮabḄxᵨ(ᐗ/ᔴ)᝞⊤ᡠ}~26⚓/47⚓

26┝(ᐗ/)”ᵬA1420B108(1)uᵬopf〈ᑮ/abḄᱥl-xᔴ#fxy(ᐗ)x(ᔴ)Ḅᦪᐵ@,AᑏxḄ(2)xᵨ#ABxᵨḄ.23.᝞"1,ᙠaABC)#AB=AC,BPuBAᡠᙠ=>B┐#-a(00#DᙠBPM.HNCDP=120஺#ᑣZACDNABD(“>”"=”“<”)#¤BDஹCDADḄᦪ¥ᐵ@7(2)NBAC=120஺#BPᑮ"3=>#DᙠBPM#H/CDP=60஺#6BD-CD=V3AD(3)"3)ḄBP¦§#30஺<”180஺#D7
BPM(P¨ᨵᙠ¤BDM)#H/CDP=120஺#©
ªᑏ¤BDஹCDADḄᦪ¥ᐵ@(¨ᨵ«6B).ᐸ®¯1x¯C,°Ḅ⚔-D.(I)ᑏDḄᙶ᪗.(2)Pᙠ®¯1M#=CM²#³CP=2CD,*P-⚔Ḅ´µᦪy=ax2+bx+c(a^O)2Ḅ"¶`A.জ¸B´µᦪy2=ax2+bx+c(a¥0)Ḅ"¶`BঝRᙠ´µᦪyi=(x-2)(x-4)Ḅ"¶M#ᑮx¯Ḅº»-d,RḄᙶ᪗-,´µᦪy2=ax?+bx+c(a#0)Ḅ"¶Mᨵ³¼ᨵ½ᑮx¯Ḅº»¾2dঞ᝞"2,m0

27ÅᦪmḄ.~28⚓/47⚓

282022-2023
ᓅḕὃᦪ⚗ẚ⚪ஹ⌱⌱D1.HaஹbஹcÆ7ᨵᳮᦪ#ÈÉ2a-3b+cḄ2Êᦪ7ËÌA.3b-2a-cB.-3b-2a+cC.3b-2a+cD.3b+2a-cூÎÏÐᫀ௃AூÓÔ௃᪷Ö2ÊᦪḄ×Ø#Ù2a-3b+cḄ2Êᦪ7-2a-3b+cÚ3b-2a-c.ᦑ⌱A.2.᝞Ýᑖ*MM)ḄxVßÆ᡽ᜧ3â#ÈÉᑖḄËÌ2xyA.᡽ᜧ3âB.¨ᨵãC.äå3âD.äå6âூÎÏÐᫀ௃Cூᑖ᪆௃᪷ÖᑖḄឋèᑨ:ᓽêூÓÔ௃ÔëᑖìM)ḄxVyÆ᡽ᜧ3â#2xy3x+3y=3Ëx+y
=L'2x3x^y929
32xy'•••ᑖḄäå3â.ᦑ⌱C.î⚪ð⌕ὃóôᑖḄõîឋè#öÏᑖ᪆÷ø7Ô⚪Ḅᐵù.3.úᑡᔜ)#ýᵨÁ²þÿ
ḄA.6
4-6
"⚚Q+’B.C.42
26
D.ூᫀ௃Cூ௃᪷a+b
a-b
=a2-b\$%&Aஹ⚗ᨵ"ᔠ'29⚓/*47⚓

29BஹD⚗-ᨵᨵ"ᔠCஹ/Ḅ⚗-⚗0ᐰ2⚗345ᦪ"ᔠ.ᦑ⌱C.4.;ᑡ/ᨵ$=Ḅ()A.ABCDEFᓣB.ᙠᓭ᩽KLᑮNOᔣC.QRSTCUὑᓱXYD.QRST/Zᾙ\]ூᫀ௃Bூ௃᪷^_Ḅ$=ឋᜧb$%&AஹABCDE“FᓣdᯠᦑA┯gBஹᙠᓭ᩽KLᑮNOᔣᨵ$=ᦑBCஹQRSTCUὑᓱXYdᯠᦑC┯gDஹQRST/Zᾙ\]hiᦑD┯gᦑ⌱B.5.;ᑡᐵlxḄn&জax?+bx+c=Oঝ3(x-9)2-(x+1)2=1(3)x+3=—ট(a2+l)x2-a=0ঠJx+1=xx-1,ᐸ/ᐗnḄᦪ()A.1B.2C.3D.4ூᫀ௃Bூ௃᪷-ᐗnḄ&ᨵ%ᦪ%ᦪḄᦪ42,᦮nজ/aḄᨵ=40,ᦑᨵঝᓄ4&2X2-56X+241=0,ᐗnঞᑖnট/a2+lxO,Cᐗnঠᳮnᦑᨵᵫ$%ᐗnḄᨵঝট.ᦑ⌱B.6.K/(1,3)ᔣ2ᓫEᔣ;4ᓫEᑮK8,ᑣK8Ḅᙶ᪗4()A.(-1,0)B.(-1,-1)C.(-2,0)D.(-2,-1)ூᫀ௃Bூ௃&¥%K/(1,3)ᔣ2ᓫEᔣ;4ᓫEᑮK8,᪷ᔣ¦ᙶ᪗§ᔣ;¨ᙶ᪗§Ḅ©ª$'30⚓/*47⚓

30KBḄ¦ᙶ᪗41-2=-1,¨ᙶ᪗43-4=-1,ᡠ8Ḅᙶ᪗4-1,-1
.ᦑ⌱B.ὃK&ᙶ᪗¯°±²ᓄ-.7.᝞°D´Ḅµ¶°⏙AOBC.Dூᫀ௃Aூᑖ᪆௃Lᑮ¹F☢»ᡠᑮḄ°±ᓽ$.ூ௃᪷½¾QḄ¿¶°$%À½¾QḄµ¶°ᙊÂᩩÄÅ.ᦑ⌱A.8.ᙠ2016ÆᡃÈ/bÉÊᐺÌÍÎÏ/10ÐÏᓫEᡂÒÓ
᝞°ᡠÔÕl10ÐÏᓫEḄᡂÒ;ᑡÖ×/┯gḄB.ᙳᦪ90C./Eᦪ90D.᩽15ூᫀ௃BÙÚᙳᦪÛÜÝÞßßq8910ᦑ⌱B.9.᝞°¥%AB=AC=AD,ZCBD=2ZBDC,ZBAC=44",ᑣ/CADḄàᦪ4'31⚓/*47⚓

31A68°B.88°C.90°D.112°ூᫀ௃Bூ௃á⚪ᑖ᪆&ã⚪ὃäåæῪ¿è±Ḅឋéê⌕ᑭᵨåæῪ¿è±îèæïðឋé⚪Ḅᐵñ.᪷æῪ¿è±îèæòÝ/ABC=/ACB,òÝNCBD,ᯠ᪷NABD=NABC-NCBD
ᓽ$.᝞°&AB=AC=AD,KBஹCஹDᙠKA4ᙊóABḄô4õöḄᙊFVZCBD=2ZBDC,NCAD=2/CBD,ZBAC=2ZBDC,AZCAD=2ZBAC,÷/BAC=44°,.,.ZCAD=88\ὃK&ᙊᕜèᳮ10.᝞°±/BCDÂCEFGḄùôᑖú4iஹ஻üýA/EGḄ☢þḄ()B.¯ÿஹ஻ḄᜧᐵC.mḄᜧᨵᐵD.஻Ḅᜧᨵᐵூᫀ௃Dூ௃᪷Ḅ☢AGCEḄ☢3•CG-CEug/P.ABCG!"᪷!Ḅ☢#$"☢g(AB+CG)-SC=y(w+")•"%BEAB=&N8EḄ☢Y"7((+")•"?",32⚓//47⚓

3212S^AEG^S^CGE+SWBCG_n2.ᦑANEGḄ☢Ḅ8nḄᜧᨵᐵ.ᦑ⌱D.2⚪=⌕ὃ@ABḄ☢C⚪"⚪ᐵDᔠᳮᑭᵨḄ☢ஹ!Ḅ☢"IJKLMN"ᯠNᑨQᔲS(ஹ஻ᨵᐵ.TஹUV⚪11.XᙢXᜩḄ[\]-2࠷,[\]-8࠷,cᜩḄ\Lr.ூᫀ௃6ூᑖ᪆௃᪷⚪hᑡJj$"kjᓽmᑮop.ூ௃ᵨ\qrs\q"ᯠN᪷ᨵᳮᦪḄruvjuᑣ"rsxyᦪzS{|cyᦪḄ}~ᦪkjᓽm-2--8=-2+8=6࠷.2⚪ὃ@AᨵᳮᦪḄru"vjuᑣ⚪ḄᐵD.12.k"ᐰᳫᑖᨵ8500000ᔴ᣸ᐭ"ᑣᑖḄ᣸ᵨᦪu⊤ᔴ.ூᫀ௃8.5x106ூᑖ᪆௃¢xyᜧS10ᡈὅS1Ḅ᦮ᦪ]a.10C£ஹ©:Ḅ$«¬ᦪu.ூ௃8500000=8.5X106.ᦑ8.5x106⚪®S¯Ạᵨ⚪"◤²ᦪuḄ⊤Bu"ᓽ³ᡂ.13.¶ᦪ-2,-y,0,4¹º»xyᦪ]m,½¶¾¿Ḅyᦪ¹"º»xyᦪ]n,Ák=mn,ᑣÃÄÅᦪy=kxḄÆÇ,ஹÇ▲Ḅᭆ᳛.ூᫀ௃6ூ௃¶ᦪ-2,--,0,4¹º»1yᦪ]m,½¶¾¿"3yᦪ¹"º»xyᦪ]n.2᪷⚪hËÆ᝞¿,33⚓//47⚓

331一-2.04-204-24-20ᐳᨵ12ÏÐÑ"ᵫ⚪hÃÄÅᦪÓ=1«ḄÆÇ,ஹÇ▲"ᓽmᑮÔ=!^>0.ᵫ᪛Ù21ÆÚᔠmn>0ḄÐÑᐳᨵ2Ï"12ÃÄÅᦪÛ=1«ḄÆÇ,ஹÇ▲Ḅᭆ᳛Ü:%.126ᦑᫀ]!.614.᝞Æ.ÝÞBßᱏ/BCDᢚâ"ã/¶CBᙳåᙠçè8஺|"mᢚêBE,BF,ᑣNEBFḄᜧYZ.ூᑖ᪆௃᪷ᢚâḄឋìímJNEBDî/ABD,NFBD=NCBD,ᓽIJNEBF.ூ௃ÝÞBßᱏ/8CDᢚâ"ã48ஹCBᙳåᙠçèB஺|"LᢚQBEஹBFmï|JNEBD=/ABE=ZABD,ZFBD=ZCBF=yZCBD,/ZABC=90°AZEBF=ZEBD+ZFBD=yZABD+yZCBD=yZABC=45°ᦑ45஺⚪=⌕ὃ@AᢚâḄឋìðqḄkj"ᭆñ⚪ḄᐵD.15.òóP(a,b)ᙠèy=%x-l|"óQ(-a,2b)ᙠèy=x+l|"ᑣôᦪ$a?-4b?-1=______.ூᫀ௃1.ூ௃õ⚪ᑖ᪆ᐜ᪷⚪hmJᐵSaḄB÷ø"IJa,bḄ8ôᐭôᦪ$kjᓽ.,34⚓//47⚓

34õ⚪᪆♦.,óP(a,b)ᙠèy=%Ax1|"óQ(-a,2b)ᙠèy=x+l|"i_31jja=—-a-\—b2
.{2{,—a+1=2/?b=—4…91••-4x--1=1.416ὃᦪḄᙶ᪗ᱯ%.16.᝞'ᙊ஺Ḅ*+48=2,[CD஻4B,NCOQ=90஺ᑣ3▢56ᑖḄ☢9:TTூ<=>ᫀ௃4ூA௃•BC஺஻48,:♦SMCFSXOCD,.„__90^-xl2_£c••3▢5-3gLCUD-------------------------•36047Cᦑ>ᫀ:.4Nஹ>⚪17.RS(3x+l)2=9X+3.12ூ<=>ᫀ௃X1=~,W2=].ூA௃Y⚪ᑖ᪆ᑭᵨ]ᑖ^ᐗ`RSᓽb.Y⚪᪆RS᦮ᳮ(3x+l)2-3(3x+l)=0,ᑖ](3x+l)(3x+l-3)=0,b3x+l=0ᡈ3x-2=0,f35⚓/i47⚓

355j12bkXl=X2=—■33lm⚪n⌕ὃpqᐗ`RSḄ^⚪ᐵstuvwxᐗ`RSḄᱯᯠz{|ᐗ`RSḄ^*}~R^ஹR^ஹ^ஹ]ᑖ^3ᔠᳮ⌱ᓽb.18.᝞A,B,C,Dᙠᩩ*Z\ABFZ\DCE.ᑏNḄூ<=>ᫀ௃᪆.ூA௃ᑖ᪆⚪⌕ᮣ¡¢ᵨᐰ¤N¥LḄឋ§.¨N¥L:ᐰ¤N¥Lᑣ©ª«¬¤,©ª¥¬¤⚪᪆VAABF^ADCE.\ZBAF=ZCDE,ZAFB=ZDEC,ZABF=ZDCE,AB=DC,BF=CE,AF=DE

.AF஻ED,AC=BD,BF஻CE.19.20163ᨴᐰ¯¨°±ᑭ²~³ᦪ´ᐶ¶·¸¹¨°º»¼⚣᳛Ḅ¿ÀAῃÂÃÄ.B.Å⁐ÇÈ.C.ÉnÊË.D.ÌÍÎᩗ¤¿ÀÐÑqÒ᪵ÔÕ´Ö|3⌱"ᡃᨬᐵÚ"Ḅ¿À᝞t᪷ÜÝÞᑴḄ¨àáᨵã᦮Ḅäå.᪷ÜäåæçḄèé>êᑡì⚪1`3ᐳqîÕ´
2ᩩLäå3m=,n=
3ᡧLäå3¿ÀBᡠᙠᡧLḄᙊó¥Ḅôᦪt
4|õ᪥´÷3øùÒúᨬᐵÚ¿ÀDḄ´÷Ḅᭆ᳛tüýᩩFGHIᡧFGHIூ<=>ᫀ௃2300
260,90
372°
4|õ᪥´÷3øùÒúᨬᐵÚ¿ÀDf36⚓/i47⚓

363Ḅ´÷Ḅᭆ᳛t.20ூA௃Y⚪ᑖ᪆1᪷ÜAḄÿᦪ
105ᡠᓰḄᑖ
35%,ᦪᓽ2CᡠḄᦪ
ᦪx30%,BᡠḄᦪ
ᦪ-AᡠḄᦪ-CᡠḄᦪ-DᡠḄᦪᓽ3᪷&BᡠᓰḄᑖx360஺ᓽ4᪷&ᭆ᳛,-ᓽ./⚪᪆1105+35%=300.ᦑᫀ
3002n=300x30%=90m=300-105-90-45=60.ᦑᫀ
60,90603——x360°=72°.300ᦑᫀ
72°4<=᪥?@ABCDEFGᨬᐵJKLDḄ?@Ḅᭆ᳛MN=N_.30020<=᪥?@ABCDEFGᨬᐵJKLDḄ?@Ḅᭆ᳛MN.20ὃQᩩSTUVᡧSTUVᭆ᳛.20.᝞VᙠZ☢\]ᙶ᪗`xQyAcdey=—f\ey=-2x+2ghQi-1,஺.x1஺jḄk2=cdef\ey=—2x+2lFGgQBḄᙶ᪗.m37⚓/47⚓

37ூqrᫀ௃1஺=4,j=-422,-2.ூᑖ᪆௃1ᐜuQi-1,஺vᐭ\eḄ᪆-஺Ḅk

38ூᑖ᪆௃ூ௃1
²»ÄÅ8,BCZ^_,/.ZBDC=90°,ACD±AB,5♦:AC=BC,•.AD=BD,,•Q஺M48ḄAQ.(2)QEM஺0Ḅᑗe.²»ÄÅ0஺VOB=OC,AD=BD஺0M§Z8CḄA¸e:.D0HAC,VDE1AC,.".DE10D,QEM஺஺Ḅᑗe1(3)•;AC=BC,AZB=ZJ,Aco=cos^=-,3BD1AᙠRtZ\BDCAVco=——=FBC=18,BC3BD=6,>\AD=6,AE1ᙠRtAADEAcosA=-----=—3.\AE=2,AD3,,DE=J—AE?=4V2,m39⚓/47⚓

3922.
Ç᪗ÈÉᡃËÌ᜜ÎÏÐÑÒᐷḄ@ÔÕ◤×Ø/ÙÚஹ8ÙÚᑖÛÜ〈100ᔴÏ50ᔴ@Ôᱥà.¦=ᱥàᙠᵬâãäᨵ80ᔴæâãäᨵ70ᔴÀ<ᵬஹæâãÜ〈ᱥàᑮÙÚḄèᵨᐗ/ᔴ᝞⊤ᡠêëìᐗ/íÙÚṯ5Aï1420BÙ1081
ð<ᵬâãÜ〈ᑮNÙÚḄᱥà
xᔴÜèyᐗfxᔴñòḄ~ᦪᐵ`-ºᑏXḄEkõ2
èᵨºö»èᵨ÷Ḅøù.ூqrᫀ௃1
ú-8x+2560300,x-30>0,100-x>0,ᓽ2;xḄ<=:2
>?ᡠḄ8ᦪ?8ᦪᵫABឋ2DyExAᜧGBHᑣJx=80KyᨬM.N;ᨬM=ᑏ;P.⚪᪆14ᵬxᔴA
ᑣᵬB
Ḅᨵ80-x
ᔴA
ḄᨵᔴB
Ḅᨵ50-80-x
=x-30
ᔴᡠQy=14x+20+2080-x
+8x-30
=-8x+2560,xḄ<=TU30”"=”“<”4`vBDஹCD5AD67Ḅᦪ$ᐵ&U:x40⚓/'47⚓

40(2)JNBAC=120஺KlBPhiᑮ\3abYDᙠ_`BPnoNCDP=60஺N{BD-CD=GAD:(3)l\3^ḄBP|}hiJ30஺~”180஺KYDU`BPnY(YPᨵᙠ`vBDn)o/CDP=120஺ᑏ;`vBDஹCD5AD67Ḅᦪ$ᐵ&(ᨵ{).ூᫀ௃(1)=:BD=CD+AD:(2){᪆:(3)BD+CD=^ADᡈCD-BD=6ADூᑖ᪆௃(1)জ᪷j^ojZ#ᑣxjZ#NACD=NABD:ঝ`᪀ᐰ#j4ABEZXACD,AD=AE,{4ADEU#jᑣAD=DE,¡:(2)¢ᳮ`{ᐰ#{4ADEU#ῪjjDE=J^AD,¥ᐭDE=BD-BE^¡:(3)জ᝞\4,BD-CD=73AD,ᙠBDn

41AC=4BᙠADCA5AEBA^-ZACD=ZABE,CD=BE/.®DCA^AEBA(SAS),:.AD=AE,ZDAC=ZEAB,ZCAB=ZCAE+ZEAB=60°,AZDAE=60°,.´®ADEU#j:.DE=AD.BD=BE+DE,/.BD=CD+AD.ᦑ=,BD=CD+AD:(2)᝞\3,AC5BD·ªYO,ᙠBPn²

42RDAABE6Z\ACD,AE=AD,ZBAE=ZCAD,DF=FE,,/ZBAC=ZBAE+ZCAE=120°,AZCAD+ZCAE=120°,ᓽNDAE=120஺•ZDAF=60°,DFsinZDAF=sin60°=------3AD2/.DE=2DF=V3AD,JBDCD=BD-BE=DE=¹AD:ঝ᝞\5,BD+CD=JJAD,ᳮᵫU«¬DBᑮE,§BE=CD,¨AE,©AAF_LBDªF,VZBAC=120°,AB=AC,/.ZACB=ZABC=30°,x43⚓/'47⚓

43.•.ZEBA=150°-ZDBC,VZCDP=120°,.•.ZBCD=120°-ZDBC,/.ZACD=ZBCD+30°=150°-ZDBC,.•.ZACD=ZEBA,AAAEB^AADC,.♦.AE=AD,ZEAB=ZCAD,:.DF=EF,VZBAC=ZDAE=120°,.,.ZDAF=60°,A¢ᳮDF=—AD,2;.ED=6AD,/.DE=BD+BE=BD+CD=ºAD.»nᡠ¼BD+CD=VJADᡈCD-BD=0AD.½⚪»ᔠὃ¿À#Ὺjஹᐰ#jÁhiḄឋÂ`᪀jᐰ#U½⚪ḄᐵÃ:⌕{ᐰ#KᜳjḄ;ᔜÇÈᨵ¢UÉY:¢KᵨÀjḄj8ᦪ=⊤ËḄ¬ÌᙠÍÎ{^`vḄÏ5ÐUÉYÑÒ?ÓÔÕl`viᓄᑮ¢ᩩ`nজᙠ¬²<×ঝ«¬×#ª¬:0Ø“²ᡈ”.24.᝞\1,´Ù8ᦪyi=(x-2)(x-4)Ḅ\Ú5xÛ·ªAஹBY(YAᙠYBḄÜÝ),ᐸØÛ15xÛ·ªYC,ßḄ⚔Y?YD.(1)ᑏ;YDḄᙶ᪗.(2)YPᙠØÛ1naªYCnãäCP=2CD,QP?⚔YḄ´Ù8ᦪy=ax2+bx+c(a^0)2Ḅ\Ú©YA.জå´Ù8ᦪy2=ax?+bx+c(a0)Ḅ\Ú©YB:ঝYRᙠ´Ù8ᦪyi=(x-2)(x-4)Ḅ\ÚnᑮxÛḄæç?d,JYRḄᙶ᪗?K,´Ù8ᦪy2=ax2+bx+c(a/0)Ḅ\ÚnᨵäèᨵYᑮxÛḄæç#ª2dঞ᝞\2,êD0cm<2,©YM(0,m)xÛḄëì`ᑖí·´Ù8ᦪyi=(x-2)(x-4)ஹy=ax2+bx+c(a/0)Ḅ\ÚªYEஹFஹGஹH(YEஹGᙠØÛ1ÜÝ)©YHx2ÛḄᚖ`ᚖï?YN,·´Ù8ᦪyi=(x-2)(x-4)Ḅ\ÚªYQ,o®GHNs^EHQ,NðᦪmḄ=.x44⚓/'47⚓

44y.ூᫀ௃(1)(3,-1):(2)জ{᪆:ঝ(3-0,1)ஹ(3+0,1)ᡈ(3,-1):ঞJAGHNs/XEHQ,ðᦪmḄ=?1.ூ௃⚪ᑖ᪆(1)ᑭᵨÿ
ᦪ=(x-2)(x-4)⚔ᵫᓽ(2)জᵫ!ᙠ#$%/'ᦪ%=©2+++஺Ḅ./Ḅ#$%01/,34ஹ8ᐵ6#$%/#$ᦪ%=7+8+C(:0)Ḅ./<=ᓽᦪ%=7+bx+C(a^O)Ḅ./<3ঝᵫᦪ%=4+8+C(°D)Ḅ./'ᨵFGᨵHIᑮx%ḄKLM62%ᓽd=l,3Pᦪ=(%-2)(x-4)QRi=±lUxVᓽ;,HN22ঞYN(/n0),ᑣ"(஻-2(஻-2)(஻-4)),0(஻,(஻-2)(஻-4)),ᵫᓽ=2+i=HNHG23᪷`#$ឋi=j᪷`abHcḄឋeᓽf=R=hYKG=t(tHQHE3KE2>0),ᑣGḄᙶ᪗(3-f,p)EḄᙶ᪗(3-2Z,m),ᵫᓽᐵ6"tḄᐗvwxvwᓽU7V.z⚪x᪆}(1):=(X-2)(X-4)=X26X+8=(X-3)2-1,⚔஺Ḅᙶ᪗(3,-1).ᦑᫀ(3,-1).(2)জ!ᙠ#$%/'6C'F஺!=28,...PḄᙶ᪗(3,2),ᦪ%=(x-2)(x-4)%=OX2+Zir+cḄ./Ḅ#$%ᙳ-3,,4ஹ5ᐵ601x=345⚓/47⚓

45#$..ᦪ%=7++஺:0Ḅ./<ঝ♦.♦ᦪ%=&+ᔊ+஺Ḅ⚔ᙶ᪗P3,2,F./'ᨵFGᨵHIᑮX%ḄKLM62d,2d=2,x}<7=1.P=x-2x-4=/-6x+8Q=±1ᓽx2-6x+8=±lx}=3—4=3+=3,RḄᙶ᪗3-⊈1ஹ3+¡1ᡈ3,-1.ᦑᫀ3—1ஹ3+V2-1ᡈ3-1.ঞY<"¤¥x%Ḅ01¦#$%/6K,01/¨©ᦪ%=4+++C:0Ḅ./Ḅ#$%.:ᦪ%<4ஹB,F⚔ᙶ᪗!3,2,..ᦪ%=-2X-2(x-4).YN(஻0),ᑣ-2(஻-2)(஻-4)),஺(஻(஻-2)(஻-4)),HN=2(஻-2)(nHNHN22-4),QN=(w-2)(n-4),=2B|J——QNHQ2+13HN_HG2■:/XGHNsXEHQ,,:Gஹ஻ᐵ601/#$:.KG=KHHG,
.——=2KE2YKG=ff>0,ᑣGḄᙶ᪗3-6m,EḄᙶ᪗3-23m,ᵫ⚪«:V2f_V2-2(3-Z-2)(3-Z-4)=wx:2ᡈ12®¯.[(3-2/-2)(3-2/-4)=஻?m=\in=1ᦑGHNsEHQ,°ᦪpḄV1.46⚓/47⚓

4647⚓/47⚓