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2022-2023 ᓅὃᦪ ⚗ẚᔁ .⌱ ⌱ᜧ⚪ᐳ12⚪⚪4ᑖᐳ48ᑖ.1.16Ḅ᪷ .A.±4B.4C.-4D.2562.☢ᵨ ᪗ ! "Ḅ$3. %&'ᦪ)C⚗+,-ᙠ/012345678⚗+679:12.6;<6ᡂ>?ᡂ@ABḕḄᦪ)DE.ᐸ 126000ᵨGHIᦪJ⊤L@ A.1.26x106B.12.6X104C.0.126xl06D.1.26xl054. ᡠL OPQḄRS TOPQḄU!$A.ᙊWQB.RX┵C.ᳫQD.ᙊ┵Q5.ᑡ\ 2]Ḅ$A2a+3b=5abB.(3a3)2=6a6C.a6^-a2=a3D.-3a+2a=-a6.ᑡ ^ᯠḄ)A.-a`ᦪB.abc "dc "C.efg hiᙢᙳᒴḄmnoᙢ>2☢pqD.&>Ḅ "rsᩭḄ "uvbw7.x-2VxV2yᑡzᦪ zᦪ{ye|}~xᜧᜧḄᨵ$.2জy=2xঝy=2-x©y=-----@y=x2+6x+8.xA.1B.2C.3D.41⚓/57⚓
1[x-2>l8.ᨵw3c,Ḅ@ -2x<4A.x>-2B.-23D.-2ᵬஹaᡠ¡¢£¤bwyx=4.ᐸ ¿2]Ḅᨵ$ᓃ0\26x A.1B.2C.3D.410.ÁÂÃÄ5ᔆÄ5᪥Â960ᝅḄÈᓫs\ᑜᜩÌ48ᝅ.2ÍᢥyÏᡂ.>ÐH᪥⌕Ò®Ó5ᜩÔÕ@ᢥyÏᡂÈᓫ7ᜩÖ¸ÌxᝅᑣxØÙḄ@$A%2_960_B 2+5- _9609605C.D.“48+x48-4848+x~48F9609604--------------------------54848+x11. fᱥuÛax^+bx+cḄ⚔á@B1,-3$,rx Ḅ ÔáAᙠ2,0$ã3,0$ª§ᑡäå জbc>0ঝ2a+b=0ঞa-b+c>0টa-c=3,2]Ḅᨵ$A.4B.3C.2D.112. ᙠç"ABCD AD=J^AB,/BADḄᑖuÔBC¼áE,DH_LAE¼áH,íîBHïð£ÔCD¼áF,íîDEÔBF¼á$,ᨵòUäå:জNAED=/CEDঝOE=OD2⚓/57⚓
2ঞABEHøZXHDFটBC-CF=2EHঠAB=FH.ᐸ 2]Ḅäåᨵ)A.5B.4C.3D.2ஹ"#⚪%&ᜧ⚪ᐳ6)⚪*ᐳ24ᑖ*,"-.*/)⚪"014ᑖ.13.ýþ3ᨵÿ ᑣxḄX—114.ᙠA48ᑖA8 ᙊ ᜧ!/8Ḅ# $%&'(')*“2N,-./7VW,BCD,4540.7BC=5,8=2,<=!=>15.?XIஹX2BᐗDEFG2x2-4x-1=0Ḅ(Iᦪ᪷ᑣX/+X22Ḅ.16.ᙠ4NOᐰ)QḄᓱᱏTᑖ&ᨵVWXYZஹ[\]WZஹ^FZᙊ_`a᥎c(Nd(NᓱᱏTḄZefgZḄᭆ᳛.17.jklcḄ]m▣oᢥ᯿ZḄḄmᦪrᓄtuvwxm▣ḄḄmᦪ m.18.ᙠRSABCZACB=90°,AC=BC=2,RQABCA⌮┐30ᑮR3ADE,BḄ% 'BD,ᑣ▢ᑖḄ☢ .x3⚓/57⚓
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422.ᙠRtZ\ABC;ZJCB=90°BEᑖN4BC,^_`85a8"bcḄ5E,deBC5F.(1)>jL/C^Ḅᑗl(2) BF=6,0Ḅmc"5,>CEḄn.ni23.pqrsᦪt4•+ḄpwxḄl(2) NDBC=NABC,>sᦪfoc+bḄ⊤.24.⚪Lp(1)ᙠ_ABCD;ZACB=ZADB=90°,AD=BD,ACஹBCஹCD Ḅᦪᐵ.E⚪Ḅ^LaBCD¢5D⌮¤┐¦§90°ᑮ4AEDᜐ5BஹCᑖ0¨ᙠ5AஹEᜐ(p(2)),᧕j5CஹAஹEᙠᩩb«d4CDE^¬Ὺb.®.ᡠaCE=0CD,°±)²@³LAC+BC=72CD.´ᓫµᵨLV5⚓/Y57⚓
5?1Gᙠp?1G;4AC=0,BC=20,>CDḄnl?2Gp?3GAB^0Ḅbc5CஹDᙠ0AD=BD,4AB=13,BC=12,>CDḄn.?1G>·ᱥḄ¹᪆l?2G45Dᙠ·ᱥ5Eᙠ·ᱥḄ»¼5DḄᙶ᪗l?3GP^·ᱥḄw▲ᑁḄÂ55PPMx<ᚖÅ"M,^ᔲÇᙠ5P,È)aPஹMஹA"⚔5Ḅ®.ABOCÊË:4Çᙠ>²5PḄᙶ᪗l4ÌᨵÇᙠÎÏᳮV6⚓/Y57⚓
62022-2023 ᓅὃᦪ ⚗ẚᔁ.⌱⌱LÒᜧ⚪ᐳ12E⚪ÕE⚪4ᑖᐳ48ᑖ.1.16ḄÖ×᪷^?G.A.±4B.4C.-4D.256ூÚÛÜᫀBூß¹᪷KÖ×᪷Ḅàáᵫ42=16,ãr16ḄÖ×᪷"4.ᦑ⌱B.2.☢åæçµᵨp᪗;^<»¼pḄ^?GAèB•τCQD0ூÚÛÜᫀDூᑖ᪆ᑖ0᪷K<»¼p»¼pḄឋê»ᔜ⌱⚗í⌲ᑖ᪆ᓽã.ூß¹AஹðÌᨵ^<»¼pñÌᨵ^»¼pᦑÒ⌱⚗┯ólBஹ^»¼pᦑÒ⌱⚗┯ólCஹðÌᨵ^<»¼pñÌᨵ^»¼pᦑÒ⌱⚗┯óLDஹ^<»¼pᦑÒ⌱⚗ÚÛ.ᦑ⌱D.Ò⚪ὃôḄ^<»¼põr<»¼p^┐»åp±öḄ^÷ᐹᨵឋêḄpùᩩbᑖᒘᡂḄüýᑖþḼ ᢚᔠ⚪Ḅᐵ.3.ᦪC⚗ ᙠ !"#$%&'(⚗&')*12.6+,-.&ᡂ01ᡂ234ḕḄᦪ67.ᐸ126000ᵨ:;<ᦪ=⊤?@2ACA.1.26x106B.12.6x104C.0.126xl06D.1.26xl05ூ"EᫀDூᑖ᪆᪷:;<ᦪ=Ḅ⊤?K#AaxlO",ᐸLMN10,2ᦪ.EQḄR⌕TUVᦪWᡂYᦪZ[\]^ḄR_YᦪZḄ^ᦪM.`VᦪR1"b7⚓/e57⚓
7"ᦪf`VᦪḄR1gᦪCᓽij.ூkl126000=1.26x105.ᦑ⌱D.4.pᡠ?rstuvḄwxpystuvḄzAC{xpA.ᙊ}vB.w~┵C.ᳫvD.ᙊ┵vூ"EᫀAூk⚪ᑖ᪆lxpஹxpஹ{xpᑖᱥv"☢ஹ☢L☢TᡠᑮḄpKᵫxpxp2-Kituv2}vᵫ{xp2ᙊi2ᙊ}v.ᦑ⌱A.5.ᑡ"EḄACA.2a+3b=5abB.3a3 2=6a6C.a6-f-a2=a3D.-3a+2a=-aூ"EᫀDூk⚪ᑖ᪆lAஹᨵM⚗=fBஹV#=9a6fCஹMᦪ◀ᦪᨵWᢣᦪV#=/;DஹM⚗ᔠ¡"E.ᦑᫀ⌱D.ὃZl.ᔠ¡M⚗fMᦪ£Ḅ¤◀=.6.ᑡ¥ᯠḄACA.-agᦪB.§s¨pK^¨pKC.©ª«¬r®ᙢᙳᒴḄ²³´ᙢ0"☢µLD.,0ḄpK_VᩭḄpK @·¸¹ூ"EᫀDூkᑖ᪆l᪷¥ᯠᢣᙠrQᩩ»rQ¼½Ḅiᫀ.k:A.-a¿"ᦪ©ªᦑA┯ÁfB.§s¨pK^¨pK©ªᦑB┯Áfb8⚓/e57⚓
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9K⚪ὃMN;ᐗᨵḄPᨵRS((T⚪Ḅᐵ.9.ᵬஹW1XYZ[ᑖ.\]^1`abᡠabḄcdy(w)i]kxlmkḄᐵnpᡠq.᪷sptᡠuvḄwxᨵ>জᵬ[30z]ᵨN3}ঝ6]ᵬ[W[N10m}ঞW[ḄdHᵬ[}ট^ᵬஹW1[ᡠabcd]=4.ᐸ;T'(Ḅᨵ()0|26x 1 A.1XB.2XC.3XD.4Xூ'()ᫀCூᑖ᪆᪷sᦪptAᑨ┯ḄᔜX⚪ᔲ'(3A)K⚪.ூ7ᵫpt4ᵬ[30”],ᵨḄ]k>3(R(6(R6)=3/7,ᦑজ'(6]ᵬ[W[N>60-50=10?ᦑঝ'(1X]W[4ᙠ2]ᑮ6]mkᵬ[Ḅᦑঞ┯¡]ᵬ¢Ḅᦪ᪆£ᑣ60=6¥4¥10,ᓽ04x46]ᵬ¢Ḅᦪ᪆£10x,§2Wx«6]W¢Ḅᦪ᪆£ax+82a+b=30[a=5\4‘6+6=50[b=20ᓽ24x46]W¢Ḅᦪ᪆£5x+20,fy=1Ox´x=4±=5x+20±ᓽ^ᵬஹW1[ᡠabcd]I,ᦑট'(ᵫ¥4;T'(Ḅজঝটᦑ⌱C.D10⚓/H57⚓
10ὃMᦪḄ¢ᵨ¶Tnᦪ·/ᦪ᪆ᦪḄ¸¹.º»pt⚪Ḅᐵ.10.¼½¾zYᔆzY᪥½960ᝅḄÂᓫÄÅᑜÇᜩÉ48ᝅ.'Êᢥ]Ìᡂ.ÎÏ᪥⌕/u5ᜩ¸Ñᢥ]ÌᡂÂᓫ¡ÇᜩÒÉxᝅᑣx¢ÓÔḄÕZ()960960,960=960960960A.----------------=5B.——+5=D.48+x484848+x48x960960%4848+xூ'()ᫀDÄᩭᡠᵨḄ]k>—,Ù▭ᡠᵨḄ]k>Û-ூ7:48x+48960960%ᡠᑡÕZ:--------------------5.48x+48ᦑ⌱D.K⚪ὃMNᵫÙ▭Ü⚪Ýt0ᑖÕZᐵ]kÞßᐵn᪷sÇᜩÉxᝅàáu5ᜩzYÌᡂᑡ0ÕZ/.11.pâᱥäy=ax2+bx+cḄ⚔¹B(1,-3),ixæḄ;X¸¹Aᙠ(2,0)ç(3,0)mkèᑡàé>জbc>0}ঝ2a+b=0}(3)a-b+c>0}টa-c=3,'(Ḅᨵ()XC.2D.1ூ'()ᫀAூ7ᑖ᪆>âᱥä^êᔣ¥a>0,ìæᙠæîïb<0,âᱥäçyæðñæ¸c<0,ᑣbc>0,ᵫâᱥäixæᨵ1X¸¹4ò-4ac>0}ᨵâᱥä⚔¹ᙶ᪗4ᑮâᱥäḄìæõäx=l,ᑣ4ᑮb=-2a,ᓽ4ᑮ2+b=0}᪷sâᱥäḄìឋ4âᱥäixæḄö;X¸¹8ᙠ(0,0)ç(-1,0)mkᡠA§÷-1]ᡝ0,ᑣa—b+c>0}ᵫâᱥäḄ⚔¹(1,-3)D11⚓/H57⚓
114a+b+c=-3,ᵫâᱥäḄìæõäX=--=14h=-2a,ᡠA«-c=3.2a7> •âᱥä^êᔣ¥• •ìæᙠyæîï>0,2a,.b<0, ,âᱥäçæðñæ¸c<0,bc>0,ᦑজ'(} ,âᱥäḄ⚔¹.b••x---=12ab=-2a,} 2a+b=0,ᦑঝ'(}• ,ìæ£1,ûixæḄ;X¸¹üᙠ(2,0)ç(3,0)mk • ixæḄö;X¸¹Bᙠ(0,0)ç(;1,0)mk§x=-l]y>0,.\y=a~b+c>0,ᦑঞ'(} ♦âᱥäḄ⚔¹(1ᔆ3):.a+b+c=-3,1âᱥäḄìæõäx=----=14b=~2a2aýb=-2aþᐭa+b+c=-3,a-2a+c=-3,*.c-a=-?>,•*.a-c=3,ᦑটᦑ⌱A.ὃᦪ ᦪḄᐵ !"ᝯḄ$%&'()*+,ᑮ.⌕Ḅ01.12.ᙠ6,ABCD:!AD=V2AB,NBADḄ=ᑖ?@BCAE,DH_LAEAH,FGBHHIJ@CDAF,FGDE@BFAO,ᨵNᑡ01:জNAED=NCEDঝOE=ODঞABEH*ZXHDFটBC-CF=2EHঠAB=FH.ᐸ:Ḅ01ᨵ()Z12⚓/]57⚓
12A.5`B.4`C.3`D.2`ூbᫀBூᑖ᪆ᐜghi/13EjklῪnopo,!qAB=AH=DH=DC,qZADE=ZAED,ᓽsqজᐜgqOE=!!uᳮOD=OH,qOE=OD,ঝᵫASAgqi8EHxi!£)/,qঞy!zHKA.BCAK,s{KC=-BC,HK=KE,2q,8C=+"E,BC=2HK+2HE=FC+2HEqট.2ூ|}~,/BCDk6,!NBAD=NABC=NC=NADC=90°,AB=DC,AD//BC,,.ZADE=ZCED,,,NBADḄ=ᑖ?@BCAE,:.NBAE=ND4H=45,...iZ5EjklῪnopo,!AE=yflAB,AD=5AH,AD=6AB=6AH,,.AD=AE,AB=AH=DH=DC,,.NADE=NAED,,.NAED=NCED,.•.জ;•/ADAH=ZADH=45°,/./ADE=NAED=67.5°,•6NB4E=45,ZAHB=ZABH=67.5°,ZOHE=67.5°,Z13⚓/]57⚓
13NOHE=NAED,,.OE=OH,uᳮOD=OH,,.OE=OD,...ঝ*.•ZABH=ZAHB=67.5°,NHBE=NFHD,ᙠABEH89HDF:,NHEB=AFDH=45°14⌕ஹ"#⚪%&ᜧ⚪ᐳ6)⚪*ᐳ24ᑖ*,"-.*/)⚪"014ᑖ.13.33ᨵ!ᑣxḄk_.x-1ூbᫀ-3ூᑖ᪆᪷᪷'jᑖ'ᨵḄᩩ)*¡.ூ|}᪷'ᨵḄᩩk¢£¤ᦪk¥¦ᦪx+3>0^x>-3ᑖ'ᨵḄᩩkᑖ§ᨵ¨©x-lwOnxwl.*.%Ḅk«2-3xw1ᦑx¬%3xw1.⚪ὃ«'(ᨵḄᩩ!¯°᪷'ᨵḄᩩk¢£¤ᦪk¥¦ᦪஹᑖ'ᨵḄᩩkᑖ§ᨵ¨©k}⚪ᐵ².14.!ᙠA43C:!ᑖ³´AjB¨ᙊ¶!ᜧAḄJ¨¸¹º»!¼»½@A2N,zn?MM,@8cA!FG40.¾BC=5,CD=2,¿Àூbᫀ3ூᑖ᪆nGᑭᵨÃz¤ÄqMNᚖn=ᑖAB,)Æqbᫀ.ூ|}ᵫzÇÈsMNᚖn=ᑖAB,ᑣAD=BD,VBC=5,CD=2,BD=AD=BC-CD=5-2=3.ᦑbᫀ¨3.É⚪ὃÃz!qMNᚖn=ᑖABk}⚪ᐵ².15.ÊXIஹX2k%ᐗ¤Ì2x2-4X-1=0Ḅ¼Íᦪ᪷!ᑣX/+X2?Ḅk%ூbᫀ5Z15⚓/]57⚓
15ூ|}ᑖ᪆᪷᪷ ᦪḄᐵ sqX1+X2=2ஹÎ=%!ÐᐸÑᐭÓ2+X2=X,+Õ2—2X/2:ᓽsq01.2|}VÖ,x?k%ᐗ¤Ì2x2—4x—1=0Ḅ¼Íᦪ᪷!]_×+Ø2=2ஹx,x22ᦑbᫀ¨5.ὃ%ᐗ¤Ì᪷ ᦪḄᐵ !¯°¼᪷¬j!¼᪷¬ÙÚ'k}⚪Ḅᐵ².16.ᙠ4ÛÜᐰ½uḄᓱᱏᑖ³ºᨵlpo,ஹ=*~,ஹ¤,jᙊ!ß:àá᥎q¼Û!ã¼ÛᓱᱏḄ,äk$å,Ḅᭆ᳛k.ூbᫀyூ|}ᑖ᪆ºéᑏqᡠᨵḄìí!᪷ᭆ᳛ḄÄî¡ᭆ᳛.|}=*~,ஹ¤,jᙊk$å,.ᵨ4ஹBஹCஹᑖ³⊤ðlpo,ஹ=*~,ஹ¤,ஹᙊ!ºéNABCDz4\/N/N/1\BCDACDABDACBᐳᨵ12òlsḄ0¾ᦪ!ᐸ:óᑮḄᓱᱏᓺᨵḄᫀäk$å,ᨵ6ò.ᡠ´óᑮḄᓱᱏᓺᨵḄᫀäk$å,Ḅᭆ᳛¨—122ᦑbᫀ¨.gὃᭆ᳛Ḅî¡!hᭆ᳛Ḅö}⚪Ḅᐵ²!ᭆ᳛lAᡠìíᦪ ]ìíᦪḄ.17.÷øùqḄ~`▣!ûᢥ᯿,:ḄḄ`ᦪ+ᓄÿ "▣ḄḄᦪ.16⚓/57⚓
16ூᫀ43##-3+4ூᑖ᪆᪷"ᡠ$Ḅᦪ"%ᨵ'()*ᦪ+1,./+0124,ᑣ▣ḄḄᦪ+1+4(«-1)=4-3,89:;ᫀ.ூ<==*•••1▣ḄḄᦪ1,2▣ḄḄᦪ1+4,3▣ḄḄᦪ1+4x2=9,4▣ḄḄᦪ1+4x3=13,▣ḄḄᦪ+1+4(n-1)=4-3.ᦑ4-3.D⚪ὃGHI JKLḄMᓄOPQ8RḄKLMᓄ()%ᨵMḄSᦪᡈᢥI MᓄḄSᦪᯠ.WXᑮZ[\.18.KᙠRtAABCZACB=90°,AC=BC=2,hRt^ABCjA⌮l┐no30.;ᑮR3ADE,BḄstuBD,ᑣK▢wxᑖḄ☢zூ<=ூᑖ᪆ᐜ᪷"|}~ᳮ;ᑮAB=2J5,᪷"ᡧLḄ☢zSABDᵫnoḄឋ;ᑮRtAADE=RtAACB.+Sᵨ=SAADE+SJ^ABD-SABC=SᵨABD.Aூ<=VZACB=90°,AC=BC=2,.,.AB=2V2>17⚓/57⚓
17.c_307rx)2••SLABD=_________\)—Z-L3603XVRtAABCjA⌮l┐no30.;ᑮRtAADE,RtAADE^RtAACB,.2• S▢wxᑖ=$4£+$ᡧLABD-SAABC=SLABD=-ᦑᫀ—.D⚪ὃGHnoḄឋஹᡧL☢zḄ;ᑮS▢wxᑖ=S£LABD+=⚪Ḅᐵ¥.¦ஹ=⚪*Dᜧ⚪ᐳ7©⚪ᐳ78ᑖ.=⌕ᑏ¬⌕Ḅᦻ®¯°ஹ±°Q²ᡈ³´µ.2_7Y4-1X—1/—r19.ᐜᓄ¶·¸*ᐜᓄ¶x¹+(---x+1),ᯠ.8Ḅ»ᑁ⌱¾x2-lx+1ᔠ〉ḄᦪÂxḄ¸Ãᐭ·¸.ூᫀ-Å-x2ூᑖ᪆᪷"ᑖḄÆÇÈ◀Ç:Êᓄ¶⚪ËḄÌᯠ.ᙠ2Vx<⌱¾Í;ÎᑖᨵÏÐḄᦪ¸Ãᐭᓄ¶.ḄÌᓽ:·ᫀ¸;ÒÏḄ+D⚪ᫀ%ᨵxḄ¸:ʾ2ஹ2ḄÓÏ.ூ<=Î=(X-1?—Jl(xT)(x+l)=Ø•_Ú=-"=_1,(x+l)(x-l)x+1x+1x-l-x+1-x(x-1)X21834567ᦪ(7)15%1乃坐姿打1不良沙5O”一1走姿f/姿1%不良7不良O乃O3?5%503025ᙶ4;4@A34BCDE5<)Fᵫ6(1) ⊡ᐙ 7(2) +9:;<=>?@AḄBCᐳEFGH?(3)ᐰLᨵ5NOP#C QRᐰLP#C#,ᙶ^_`^ᨵaḄBCᨵFGH?ூUV)ᫀ(1)⊡ Y(᪆7(2)500O7(3)2.5NHூb((1)ᙶ^ᨵaᡠᓰḄdᑖfg-1-30%-35%-15%=20%,;<=ḄBC1Hᦪg-100—20%=500O `^ᨵaḄBCHᦪ-500*30%=150O n^aoḄBCHᦪ-500xi5%=75O ⊡ᐰ ᡠs7(2)100-20%=500(O) )-9:;<=>?@AḄBCᐳE500O7(3)5N*(20%+30%)=2.5N )-ᐰLP#C# ᙶ^_`^ᨵaḄBCᨵ2.5NH21. ᡠs uᓫwxᙠz{Ḅᙢ☢~ wᜮAᜐᙶBᜐᙠ{ᙢ☢Ḅz{~ A,3Ḅg49cm @ZC,8cZ8Ḅᜳᑖg45°68°,Cᑮᙢ☢ḄCDg28cm,ᙶ#¡EᜐBḄBEg4cᵨ£Eᑮᙢ☢Ḅ(¤ᶇ¦§ᦪ).(¨ὃᦪ"-sin68°«0.93,cos68°«0.37,cot68°®0.40)DூUV)ᫀ66.7cm.19⚓/157⚓
19ூᑖ᪆°CCH_LABH,°EEFᚖ²AB³´F,µCH=x,ᑣAH=CH=x,BH=CHcot68°=0.4x,ᵫAB=49¸x+0.4x=49,(£CHḄ´ ¹ᵫEF=BEsin68°=3.72᪷"Eᑮᙢ☢ḄgCH+CD+EFº)ᫀ.ூb( °CCHLABH,°EEFᚖ²AB³´F,BH=CHcot680=0.4x,ᵫAB=49x+0.4x=49,(-x=35,VBE=4,7.EF=BEsin68°=3.72,ᑣEᑮᙢ☢ḄgCH+CD+EF=35+28+3.72~66.7(cm),)-Eᑮᙢ☢Ḅg66.7cm.»⚪ὃ=(²n>Ḅ¼▭¾ᵨ ᪀⌼²n> ᑭᵨ¸ÃḄnÄᦪÅE(⚪ḄᐵÇ.22.ᙠRt/MIBC1# È4c5=90°,BEᑖN4BC,EÊ48~ 8g²ËḄஹE,ÌÍBCF.(1)£Î-/CEḄᑗ7(2) BF=6,ḄÐËg5,£CEḄ´.ூUV)ᫀ(1)bY(᪆7(2)4.20⚓/157⚓
20ூᑖ᪆Ñ1Ò✌ᐜᑭᵨÕῪn>ḄឋØ_{ᑖḄÙÚNE8c=NOE8,ᯠÜOE//BC,ᑣᨵNO£4=N/C8=90 ᑣݺÎ. 2ÞßOEஹOF,°OHLBFBFH,✌ᐜÎàáÊ>OHCEEâ>,ᑣᨵOH=CE,ᯠÜᑭᵨÕῪn>ḄឋØ£BHḄ´Ã ¹ᑭᵨãäÙᳮᓽº£0HḄ´Ã ᑣ)ᫀº£.ூb(Ñ1Îà-Þß0E.,.ZOBE=ZOEB.{ᑖÈ48C,,.ZOBE=ZEBC,:.NEBC=NOEB,,.OE//BC,,.ZOEA=ZACB.,,ZACB=90°,,.ZOEA=90°.♦./ICEḄᑗ7(2)(-ÞßOEஹOF,°0OHLBFBFH,.21⚓/157⚓
21OHC=90°.•••OHC=NACB=NOEC=90° áÊ>OEC gâ> ,.OH=CE.■,OB=OF,OH1BF,BF=6,,.BH=3.ᙠRtA84# 08=5,,.0F=GH3?=4,,.CE=4.»⚪ê⌕ὃ=ᑗḄᑨÙ ÕῪn>ḄឋØ â>ḄឋØ ãäÙᳮ íîᑗḄᑨÙ ÕῪn>ḄឋØ â>ḄឋØ ãäÙᳮE(⚪ḄᐵÇ.23. ¸Äᦪïð+6Ḅ ñx¡ÍòfóÄᦪy=—(x<0)Ḅ ñÍx8(-2,"),°85C_Lx¡C,(3-3 1)EúòfóÄᦪ ñ~.(1)£ ”ḄÅ7(2) NDBC=N4BC,£ÄᦪüýḄ⊤ÿ .mூᑖ᪆(1)ᵫ8(-2,)ஹ(3-31)ᙠᦪy=—(x<0)Ḅ"#$%&-x2=3-3,ᓽ%&()ᫀ;(2)ᵫ(1)&(BஹDḄᙶ᪗.DELBC./0DE1AB2F,34OBEg49BE&DE=FE=4,ᓽ%:9(2,1),;ᑭᵨ>?@ᦪABC%&.mூDCCE(1)EB(-2,")ஹD(3-31)ᙠᦪ)=G(x<0)Ḅ"#$,xH22⚓/K57⚓
22-2n=inn=3,C&:3-3=Nm=-6(2)ᵫ(1):ᦪC᪆ Py=-9,:ᱏ?.•.8(-2,3)ஹD(-6,1),x"IஹDJDELBCE,/0E129ᙠ9DBE8AF8E:,,:NDBE=NFBE,BE=BE,NBED=NBEF=9Q°,:.9DBEQXFBE(ASA),,.DE=FE=4,Y.9(2,1),ZB(-2,3)ஹF(2,1)[ᐭ9fcv+'k=-L—2k+b=3bC&E,2,2k+b=lஹb=2c⚪e⌕ὃhiᦪjᦪḄkᔠm⚪C⚪Ḅᐵopqrsᐰuvwxy?Gz{ᐵ|}Ḅ0.24.m⚪E"(1)ᙠxABCDZACB=ZADB=90°,AD=BD,|}ACஹBCஹCDḄᦪᐵ@.m⚪ḄpEZABCDD⌮┐90°ᑮ4AEDᜐBஹCᑖᙠAஹEᜐ("(2)),᧕3CஹAஹEᙠGᩩ|$¡4CDEpuῪwvwxᡠ¤CE=0CD,¥¦&(§¨EAC+BC=72CD.©ᓫ«ᵨE(1)ᙠ"(1)¬AC=J^,BC=2¯BCDḄ0Y(2)"(3)ABp00Ḅ°CஹDᙠ0$AD=BD,¬AB=13,BC=12,BCDḄ0.H23⚓/K57⚓
23ccSIS2"3ூ¯y)ᫀপ3Y(2)yV2.ூDCᑖ᪆E(1)[ᐭ§¨EZC+3C=J5c,´µ¶ᓽ%Y(2)"3,.·s|᪷¹°ᡠºḄᙊᕜwpw&ENADB=NACB=90°,ᵫ½{u%:ᡠºḄ¾{u&ᑮ¿À"1ḄᩩÁᡠ¤/C+8C=&C,[ᐭ%&8Ḅ0YDCE(1)ᵫ⚪Ã:EAC+BC=y/2CD,72+272=V2CZ),Y.CD=3Yᦑ)ᫀP3Y(2)"3,Å´ÆCஹBDஹAD,"3p0Ḅ°ZADB=ZACB=90°,•.•½/£>=½8£>,'.AD=BD,"AB=U,BC=\2,•••ᵫÉÊ?ᳮ&EAC=5,ᵫ"1&EAC+BC=yf2CD,5+12=Ì£>,H24⚓/K57⚓
24;.CD=N;2ÍEÎ2ᙊḄkᔠÏὃhiÉÊ?ᳮ½¾ᙊᕜwḄᐵ@Щᓫ.25."Ñ:Òᱥ|A(-2,0),B(-3,3)ÔÕO,⚔PC.(1)BÒᱥ|ḄC᪆ Y(2)¬DᙠÒᱥ|$EᙠÒᱥ|Ḅº×Ø$¡AஹOஹDஹEP⚔ḄxpÙÚxBDḄᙶ᪗Y(3)PpÒᱥ|$Ḅ#▲ᑁḄÞßP.PMxØᚖÀPM,pᔲãᙠP,ä&¤PஹMஹAP⚔ḄvwxABOC{åæ¬ãᙠB(PḄᙶ᪗Y¬çᨵãᙠéêᳮூ¯y)ᫀ(1)Òᱥ|ḄC᪆ Py=x2+2xY(2)Di(-1,-1),D(-3,3),6(1,3)Y(3)2ãᙠPìᡈ(3,15).ூᑖ᪆(1)᪷¹Òᱥ|ßA(2,0)ÔÕ%îïa(x-2)x,ᯠò᪷¹Òᱥ|y=a(x-2)xßB(3,3),B(aḄóᓽ%Y(2)✌ᐜᵫAḄᙶ᪗%B(OAḄ0;᪷¹xAODEpÙÚxDᙠº×Ø|x=-l÷øù¦%B(Dúᙶ᪗PE-1+2=1,[ᐭÒᱥ|C᪆ ᓽ%B(ᐸúᙶ᪗Y(3)ᑖ4PMAs/\COBþAPMAs/XBOC⊤PMAM,⊤PḄᙶ᪗ᐭḄᱥḄ᪆ᓽ tḄ !PḄᙶ᪗.ூ$&(1)᪷+ᱥ,A(-2,0)12 34a(x+2)(x-0),8..•ᱥy=a(x+2)x,B(-3,3),/.-3(-3+2)a=3,/.a=l,.•.ᱥḄ᪆?@=(x+2)x=x2+2xAB25⚓/E57⚓
25(2)জH0A?IJᑣDMCNᔠDḄᙶ᪗P?D(T,-1)AঝHOA?STUVWḄXVᑣDE=OA,..•EᙠᱥḄI[\].•.E^ᙶ᪗?T,DḄ^ᙶ᪗?1ᡈ-3,ᐭy=x2+2xD(1,3)D(-3,3),`]Dᙶ᪗?(-1,-1),(-3,3),(1,3).(3):B(-3,3)C(-1,-1),...bBOC?cJdJWZCOB=90°,HOC&OB=1&3,জj1,HAPMAs/XCOB,3PM=t,ᑣAM=3t,...P(3t-2,t),ᐭy=x?+2x(-2+3t)2+2(-2+3t)=t,7ti=0(o)t2=X,917-P(3,9)Aঝj2,HbPMAs—OC,3PM=3t,ᑣAM=t,P(t-2,3t),ᐭy=x2+2x(-2+t)2+2(-2+t)=3t,t1=0(o)t2=5,,.P(3,15)17`]ᡠrPḄᙶ᪗?(§,,)ᡈ(3,15).ὃ&uvwᦪ`ᔠ⚪2022-2023 ᓅὃᦪ ⚗ẚᔁB26⚓/E57⚓
263Xஹ⌱X⌱}~ᜧ⚪ᐳ12⚪⚪4ᑖ,ᐳ48ᑖ.1.-2ḄSḄ}A.4B.6C.-4D-I2.ᑡSḄ,jWḄ?()ᙊIJKC3LIᙊ┵3.ᦪ+130000 ᵨᦪ⊤?}A.13x104B.1.3x105C.0.13X106D.1.3x1044.ᑡḄ}A.a2+a2=a4B.2(a-b)=2a-bC.a3>a2=a5D.(-b2)3=-b5ᑣN2Ḅ¥ᦪ?})B.56°C.124°D.146°X<-16.ᨵ¢£,Ḅ¦⊤ᙠᦪ\],ᑡ⌱⚗Ḅ})x<\13©6ᓝ«-¬c012¨D.7.jᡠᵨᡧW®j¯ᙢᳫ]▮ᙢ☢µM¶·☢µᡠᓰ¹º»▮ᙢ☢µᡠIPḄᙊ½J108%ÀÁÂXᙽ◄ÅÆᙠᙢᳫ]ᑣÆᙠ▮ᙢ]Ḅᭆ᳛}.B27⚓/E57⚓
27B.0.3C.0.4D.0.58.jᙠÉ/bZ8CÊ4=30°,BC=1,EᑖÌcJV8C,ZCḄᑣEḄÍ?}BA.1B.2C.&D.1+V39.jIᢚWÑᱏABCD,ÓABMDCNᔠᑮᢚÕEF,×ÑᱏØSAÙᢚÚÓDÆᑮEF]GᜐÝÓᢚÕA,ØSÑᱏÞNDAGḄᜧ?}A.30°B.45°C,60°D.75°10.cy=Ax+34}2,D,ᑣᨵ¢ß+3N0Ḅ¦}A.*W3B.C.x2X3D.MO11.j1,ᙠâWABCDAB=2,ZBAD=60°,,DãDE_LABE,DF_LBCæF,×NEDFçDè»┐êëa}028j1A.30B.45C.60D.12012.wᦪy=ax?+bx+ca,b,c?õᦪöa#0 }-1,0 ஹm,0 ,ö1cm<2,Àx<-1»y÷xøᜧùᑡúû&@abc>0Aঝa+b<0AঞHA-3,yjB3,y 2ᙠᱥ]ᑣyi2918.(TU4VA”…A”ᙳᙠ[\y=x—lI4R,B”…B”ᙳᙠde\y=-'I,xhLijkBlykAzBz^xkBAoyk…A„±x$A,B"A„+oyk…,u4A“Ḅwᙶ᪗%a.n%,ᦪ .|ᑅ=-1,ᑣᵯ=.ஹ⚪ᜧ⚪ᐳ9⚪ᐳ78ᑖ.19.|-2|+20180-1 '+4sin30°1320.ᑖG——=-x-2x21.(4E,FᙠABICEDFK4H,AD=BC,ZA=ZB,AE=BF.GE=GF.22.ᙠ[ᜋ408^OALOB,L£ஹ+¤¥ᨵ▲ ⌕©20ª+Ḅᜋ[ᜋAOB«ᡂᙢ☢%.Ḅ®¯Lᙢ☢./O8CḄ☢E%96².1 "ᙢ☢.Ḅ+³2 ᨵ´µ%0.80x0.80¶l.OOxi.ooᓫª Ḅᙢ¸Ẉᓫºᑖ»%50ᐗ/ᙽ¶80ᐗ/ᙽ|¿⌱ᐸÂᙢ¸ẈÃាÅÆÇi®¯Ḅ.ᙢ☢¥ᨵÈ◣ ᵨË´µḄᙢ¸ẈÌᵨÍÎÏM30⚓/P57⚓
30C1OB7777777777777777777777777/77723.ÑᦟÓÔᔁÖ×ØÙÚḄۤܤÝÞ׺ᐸ׺⚗à%áâãᶧஹåὃஹçèéÖஹÖ⚪àê⚗׺ëìíîïð|ñòóÙḄÚôõöᑴᡂ(ᡠøḄ⚣ᦪᑖú[G(¶ᡧ.û((ᙳ¥ᨵý)ÿ᪷ᡠᑡ⚪:(1)ᙠᐳ (2)ᙠᡧ!"⚗$“&'(ᶧ”ᡠᙠḄᡧḄᙊ-.Ḅ/ᦪ1/ (3)34⚣ᦪᑖ789⊡ᐙ< (4)?ᐰAᨵ8600CDE FGᙠHᔁJK“Lὃ”ḄCDE NᨵOPQR24.■■TDU0Ḅ8WCAXYZ[TTBᙠ00[\ZDBA=/BCD.(1)]^_BDUOḄᑗZ.2(2)bTEUcdBC[TAEeBCfghTF,\ABEFḄ☢j116,cos/BFA=§,FGklmnAACFḄ☢jᔩRbl3kmnᐸ☢j bqᨵl3r^ᳮᵫ.u31⚓/x57⚓
3125.yz_{ᦪy=-2x+10Ḅ|e}~{ᦪy=&(k>0)Ḅ|fghAஹBT(AḄxBḄ).(1)A(4,2)m}~{ᦪḄ᪆_(2)AḄᙶ᪗U3,BḄᙶ᪗U28Z0Ae}~{ᦪ|ḄghTC,BCgyhTD.জmCTḄᙶ᪗ ঝmDTḄᙶ᪗_ঞm4ABCḄ☢j.26.ᙠ1--4ABCDḄY13,ZA=60°,TMUAD[T\DM=2AD,0(1)1,NᙠBC[\MN.ZACeBDḄgT,ᑣZANḄY/1.(2)TNᙠAB[44AMNMNᢚᑮAAMN,2,জbTA¡ᙠAB[ᑣZANḄY/1 ঝTA¡ᙠ.ZAC[3,m]_¢AMANU ARঞTA¡ᙠ.ZBD[4,m£Ḅ¤.AN27.1,¥ᱥZy=-x?+2x+3exghA,B,eyghC,¥ᱥZḄ⚔T1D,8Z1CgxhE(4,0).(1)ᑏnDḄᙶ᪗©8ZIḄ᪆ u32⚓/x57⚓
32(2)P(x,y)UZBD[Ḅ'T(qᨵeB,Dªᔠ)PF_LxhF,¬¢OFPCḄ☢j1S,mSex®Ḅ{ᦪᐵ°±mSḄ¤ (3)TQᙠxḄ²³[´'QµyḄ¶·Zg8Z1hM,g¥ᱥZhN,CN,4ACMNCN¸MḄ¹T1Mlᙠ2º»_Uᔲ½ᙠTQ,¾M"ាÀ¡ᙠy[Rb½ᙠ3mnQḄᙶ᪗ bqᨵ½ᙠ3r^ᳮᵫ.u33⚓/x57⚓
332022-2023 ᓅὃᦪ ⚗ẚᔁ3ஹ⌱⌱ÂÃᜧ⚪ᐳ12ÅÆ⚪ÇÆ⚪4ᑖᐳ48ᑖ1.-2Ḅ¶9ḄUÂÈA.4B.V2C.-4D.yூ²ÊᫀAூÍᑖ᪆_ᵫÎ9ḄÏÐᓽÒm.Í_-2Ḅ¶9ḄU4,ᦑ⌱A.TÔ_Ã⚪ὃÎ9ḄzÕÖ/qᨵᜧ×ÏØÙÎ9ḄÚÐUᐵÛ.2.ᑡܶÝÞḄßàáâãUäḄ1ÂÈ3LIூᑖ᪆âãUåᱥá[☢æᡠᑮḄ.ூÍA.ᙊçâãUᙊᦑ⌱⚗┯é B.Y9áâãUäᦑ⌱⚗²Ê C.êëçâãUê.ᦑ⌱⚗┯é D.ᙊ┵âãUᙊᦑ⌱⚗┯é ᦑ⌱B.Ã⚪ὃßàáḄêíãØÙÚÐUᐵÛ.×ÏᡠᨵḄæᑮḄëî¹⊤ðᙠêã.3.ᦪ130000Òᵨò óᦪô⊤õ1ÂÈA.13x104B.1.3x105C.0.13xl06D.1.3X1O4ூ²ÊᫀBூÍᑖ᪆_ᐜÊÚᦪḄᦪ÷ᦪø ᑭᵨò óᦪô⊤õᓽÒ.u34⚓/x57⚓
34Í_130000ᵨò óᦪôÒ⊤õ1_1.3X10',ᦑ⌱B.ᦪḄ⊤aX10”ḄᐸlW|a10,nᦪ. nḄ!"⌕$%&ᦪ'ᡂa")ᦪ*+,-./nḄ!0)ᦪ*+Ḅ/ᦪ12.3&ᦪ!41",n56ᦪ73&ᦪḄ!1"n58ᦪ.4.:ᑡ<=6 Ḅ5()A.a2+a2=a4B.2(a-b)=2a-bC.a3,a2=a5D.(-b2)3=-b5ூ6 LᫀCூᑖ᪆᪷RᔠT2U⚗ஹ2XᦪYḄZஹ[ḄZ\]^ḄZ\<=ᓽ`.ூabb:A.a2+a2=2a2,d⚗┯f7B.2(a-b)=2a-2b,d⚗┯f;C.a3»a2=a5,d⚗6 ;D.(-b2)3=-b6,d⚗┯f.ᦑ⌱C.d⚪ὃn,᪷RᔠT2U⚗ஹ2XᦪoḄZஹ[ḄZ\]pḄZ\qrsb⚪Ḅᐵu5vwxyz=ᑣ.5.}h//l,Zl=56°,ᑣZ2Ḅᦪ()2A.34°B.56°C.124°D.146°ூ6 LᫀCூᑖ᪆᪷Rឋ/3=/1=50ᐭN2+N3=180ᓽ`N2.ூabb|/2,.'.Z1=Z3,VZ1=56°,7./3=56°,VZ2+Z3=180°,,.Z2=124°,ᦑ⌱C.35⚓/57⚓
35d⚪ὃn,Ḅឋ⊡Ḅb⚪Ḅᐵu52/1q.x<-l6.%ᨵq¡ீτḄb£⊤ᙠᦪ¥¦:ᑡ⌱⚗6 Ḅ5§¨x<1B-2-fol23*c0I2Pூ6 Lᫀcூᑖ᪆¯ᨵq¡Ḅb£x<-1ᡠ³C56 Ḅ.ூabbᨵq¡Ḅb£xV-1.ᦑ⌱C.d⚪ὃn,ᨵq´⚪ᙠ⊤b£""¶““W”⌕ᵨ¹ºᙊ⊤7“V”“>”⌕ᵨ½ºᙊ⊤.7.}ᡠᵨᡧ¿<}Àᙢᳫ¦▮ᙢ☢[0ÆÇ☢[ᡠᓰÉÊ"▮ᙢ☢[ᡠËÌḄᙊº5108%3ÎÏÐᙽ◄ÓÔᙠᙢᳫ¦ᑣÔᙠ▮ᙢ¦Ḅᭆ᳛5§¨.A.0.2B.0.3C.0.4D.0.5ூ6 LᫀBூᑖ᪆᪷Rᡧ¿<}`³¯“▮ᙢ”×ᑖᓰᙢᳫ☢[ḄÉÊ᪷RØÙÉÊᓽ`Ôᙠ▮ᙢḄᭆ᳛.ூab•••“▮ᙢ”×ᑖËÌḄᙊº5108°,36⚓/57⚓
363“▮ᙢ”×ᑖᓰᙢᳫ☢[ḄÉÊ108+360=—,103...ÎÏÐᙽ◄ÓÔᙠᙢᳫ¦Ôᙠ▮ᙢḄᭆ᳛5Ð=0.3.10ᦑ⌱B.8.}ᙠÜÝZ8C24=30°,8C=1,Eᑖß5à5C,ZCḄᑣEḄ᧨BA.1B.2C.&D.1+73ூ6 LᫀAூᑖ᪆᪷RãḄឋ48,᪷Rã/ᳮ<=ᓽ`.ூabb*.,ᙠᓽZUBCNC=90°,ç4=30°,,.AB=2BC=2<6ஹDஹEᑖß5/Cஹ8cḄ:.DET4ACBḄ/,.DE=^AB=\ᦑ⌱Ad⚪ὃnḄ5ã/ᳮஹãḄឋxyãḄ/èãàTéqèãàḄÐê5b⚪Ḅᐵu.9.}ËᢚìíᱏABCD,ïAB0DCðᔠ¯ᑮᢚòEF,ôíᱏõ7öᢚ÷ïDÔᑮEF¦GᜐTïᢚòA,õíᱏú/DAGḄᜧ)§ 37⚓/57⚓
37B.45°C.60°D.75°ூ6 LᫀCூab}ᡠDCᵫ⚪`¯Nl=N2,AN=MN,NMGA=90ᑣNG=7AM,ᦑAN=NG,ᑣN2=N4,• EFAB,AZ4=Z3,1 Z1=Z2=Z3=-x90°=30°,3 ZDAG=60°.ᦑ⌱C.10.y=4x+34(2,1),ᑣᨵqý+320Ḅb£5()A.xW3B.x3C.x2Ð3D.xWOூ6 LᫀAூabþ⚪ᑖ᪆✌ᐜA(2,1)ᐭy=kx+3kḄᨵkx+3K)ᓽ.♦y=kx+3A(2»1),/.1=2k+3>:k=-1».•♦ᦪ᪆ y=-x+3,-x+3K), x<3.ὃ ᦪ ᐗᨵ.11."1,ᙠ$%ABCDAB=2,ZBAD=60°,&D'DE_LABE,DF_LBC(F,)NEDF*D+,┐./a(0?GP,@4DGPḄ☢B(,CDḄᜧF()G38⚓/J57⚓
38D.120ூLMNᫀCூQᑖ᪆ ᑖ᪆⚪S᪷UABDC,ZBAD=60°,NADCḄWᦪᑭᵨNADE=NCDF=30NEDFḄWᦪ@/EDF+,┐./,ᵫ./Ḅឋ\] NEDG=NFDP,ZGDP=ZEDF=60°,᪷Uᐰ_`%ḄᑨbcdefZiDEGgZ\DFPᯠhᐰ_`%Ḅឋ\DG=DP,ᓽiADGP4_`%ᑭᵨ☢Bjcos/EDG/EDGḄWᦪkᳮmn.Q ABDC,NBAD=60.,.ZADC=120°,o/ADE=/CDF=30°,/.ZEDF=60°,ᵫ./Ḅឋ\]ZEDG=ZFDP,ZGDP=ZEDF=60°,DE=DFSZDEG=ZDFP=90°,ᙠADEGjADFP"ZCDE=ZPDFZDeG=ZDFP.t«=DF.•.pDEG^ADFP,DG=DP,AADGP4_`%AADGPḄ☢B=WDG2=3V5,DG=2qᑣcosZEDG=-^=1,ZEDG=60°,@+,┐./60,ADGPḄ☢B(375.ᦑ⌱C.G39⚓/J57⚓
39u v⚪ὃwx$%Ḅឋ\j./Ḅyᣚ{|./Ḅឋ\ জ56ᑮ./Ḅ<ঝ56 ./ᡠ>;Ḅᜳ`(./`;ঞ./ஹhḄ"%ᐰ⚪Ḅᐵ.12.ᦪy=ax?+bx+ca,b,cᦪa-1,0 ,m,0 ,@x<-1,yxᜧFᑡmn জabc>0ঝa+b<0ঞA-3,y, ,B3,y 2ᙠᱥ;ᑣyi0,ᵫᱥ;Ḅ5¤¥¦§b<0,ᵫᱥ; y¨Ḅ=¦§c<0,(5জ©ªᑨ«¬(ᱥ;&L/তj®¯b1cm<2,᪷Uᱥ;Ḅ5¤ឋj5¤¥c°ᑮ0< ——<,y%a+b>0,ᑣ2a25ঝ©ªᑨ«;ᑭᵨA-3,yjB3,y2ᑮ5¤¥ḄḄᜧF5ঞ©ªᑨ«;᪷Uᱥ;Ḅᙶ᪗ᱯ¶a-b+c=0,am2+hm+c=03<am2-a+bm+h-0ᯠh·4ᑖhᓽᑮam-l +b=0,ᑣ5ট©ªᑨ«;᪷U⚔Ḅºᙶ᪗»jᱥ;5¤¥—h~Ḅ¦§ᑮ—-4aᑣ5ঠ©ªᑨ«4aQ "ᱥ;¡¢ᔣ/.a>0.•••ᱥ;Ḅ5¤¥ᙠy¥Ḅ¼½/.b<0,•ᱥ; y¥Ḅ=ᙠx¥c...cVO,abc>0,ᡠ¾জḄmnLM:ᱥ;&-1,0 jm,0 ,l0,G40⚓/J57⚓
40ᡠ¾ঝḄmn┯ ,A(-3,yi)ᑮ5¤¥ḄÈB(3,y)ᑮ5¤¥ḄË,2 yi>y2,ᡠ¾ঞḄmn┯ •ᱥ;&(-1,0),(m,0),**.a-b+c=0,am2+bm+c=0,am2-a+bm+b=0,a(m+1)(m-1)+b(m+1)=0,.'.a(m-1)+b=0,ᡠ¾টḄmnLM4ac2biv4a,ᡠ¾ঠḄmn┯Â.ᦑ⌱D.u v⚪ὃwxÚÛᦪ" ÜᦪḄᐵÜ 5(ÚÛᦪÝax2+bx+c(a/)),ÚÛ⚗Üᦪaàbᱥ;Ḅ¡¢cᔣjᜧF@a>0,ᱥ;ᔣ¡¢@a<0,ᱥ;ᔣ¡¢⚗ÜᦪbjÚÛ⚗Üᦪaᐳkàb5¤¥Ḅ¦§ @a bkâ,(ᓽab>0)5¤¥ᙠy¥·@a bãâ,ᓽ(ab<0),5¤¥ᙠy¥¼.(䤷k¼ã)ᦪ⚗càbᱥ; y¥= ᱥ; y=((0,c).ᱥ; x¥=ᦪᵫpàb p=b2-4ac>0, x¨ᨵ2=p=b2-4ac=0,ᱥ; x¥ᨵ1=p=b2-4ac<0,ᱥ; x¥ᨵ=.Úஹåæ⚪(vᜧ⚪ᐳ6F⚪çF⚪4ᑖᐳ24ᑖ.)13.ᑖè ai~a=ூLMNᫀa(a-1)((/+1)ூQ41,214.íî 3xy2+Z=.x2xூLMNᫀ—2ூQᑖ᪆ ᪷UᑖḄïîdᑣᓽðiNᫀ.xQ ñ•òT'6y_x2-TX2ᦑNᫀÚ.2u v⚪ὃwxᑖḄïîdᑣ⚪ḄᐵóôïᵨᑖḄïîdᑣv⚪õ(öẠ⚪ø.15.ᙠùÛúûüýþÿ Ḅᑖᓷᙶᡂᓫ⊤ᡂ454647484950%ᦪ124251ᡂḄᦪ =ூ!"ᫀ49ூ&'ᑖ᪆ᦪᢣ*ᦪ+,-./ᦪ01Ḅᦪ+2᪷+ᦪḄ45ᓽ78'.&'ᵫ⊤7;49-./ᦪ012ᡠ=ᦪ 492ᦑ"ᫀ 49.?@A⚪ὃDEᦪḄ452FGᦪᢣ*ᦪ+,-./ᦪ01Ḅᦪ+2HIE*ᦪ+Ḅ1ᦪKL2*ᦪ+Ḅᦪ7MNᨵP.16.Q2RST 3ḄUSVWX᪾ABCDEFZV =?A ᙊ\2AB ]^ḄᡧV`ᶍWXḄbc.ᑣᡠeᡧVAFB▢ghᑖḄ☢j .k42⚓/n57⚓
42ூ&''•..USVABCDEFḄST 3,/.AB=BC=CD=DE=EF=FA=3,q.rBAFḄT=3x6-3-3=12,sᡧVAFB(▢ghᑖ)Ḅ☢j=qX[2><3=18.ᦑ"ᫀ 18.A⚪ὃD1SVvᙊqᡧV☢jḄwx.17.ᙠzVABCD,2NPDCḄ,?2MPAD{|}DḄ?2~NNMB=/MBC,ᑣtanZABM=ூ!"ᫀ-3(&'ᑖ᪆᪷+NNMB=NMBC,TMN,BC}T,eᑮῪTBM,?TvMBḄ,?,eᑮV,ᯠᵫVḄឋwx,8-NABMḄᑗ.&'QTMNBCḄT}T,MBḄ,? 0,T0,ᑣ0TLBM,VZABM+ZMBT=90°,Z0TB+ZMBT=90°,AZABM=Z0TB,ᑣBAMsZ\T0B,J2ᓽ2ᓽMB?=2AM BTজUDDiMDDkDN=1,CT=MD=K,ᑣAM=2-K,BM=V(2-K)^BT=2+K,4+ᐭজ,e4+(2-K)2=2(2-K)(2+K),k43⚓/n57⚓
43'zeK,=0,.\AM=2-4=1.33tanZABM=^=T4ABy3?@A⚪ὃDḄP'V2¡ᵨzVḄឋ2᪷+⚪£,Ḅᐵ¥2ᑨ§¨V,ᯠᵨVḄឋwx,8-V,SḄT©,ªᵨᑗḄ458-Ḅᑗ«.18.Q2¬;?A,,A.ᙳᙠy=x-l{2?®2B”…2B“ᙳᙠ±²y=1{,X³~´µ¶2BA2y¶2AzB/Lx¶2¶2…2A“2x¶2B“A“+·y¶2…2¸?AḄ¹ᙶ᪗ “n ᦪ.¼&=-1,ᑣ“=ூ!"ᫀ2ூ&'Va=-1,x:.BḄᙶ᪗P-4s,x 4Ḅᙶ᪗P23 2ᓽg=2,aU2ஹq ¾Ḅᙶ᪗P2L~».♦•4Ḅᙶ᪗PÁᔆ7,k44⚓/n57⚓
44ᓽ2s Q3:5, , ÃḄᙶ᪗PÄ2 , • 4Ḅᙶ᪗P-2ᔆ2 ,ᓽ;=-Å2,.•%=-Å2:.¾Ḅᙶ᪗P-ÅÅ24Ḅᙶ᪗P2,1 ,ᓽÈ=2,…,q.q,aaa%É3ᦪÊË2ᑖÌP-Åஹ2ஹy,2jit41V2.0184-3=672.......2,AaPk672ÊËḄk2ᦪ22018,•°2018=2ᦑ"ᫀ 2.?@⚪Î⌕ὃDEIÐÑÒᦪQÓ{?Ḅᙶ᪗ḄᱯÕ2⌕Ö×ØÙ2'"⚪ḄᐵÚP⌕Û!জQÓ{Ḅ?x2y Ḅ¹Üᙶ᪗ḄjP4«k,ᓽxg=kqঝ±²Pᐵ}Þ?ßàḄ,¨ᑖá{Ḅ?âPᐵ}Þ?ßàঞᙠxkQÓ,äå?2æ?ᔣx¶vy¶ᑖÌèᚖ2êᙶ᪗¶ëᡂḄìVḄ☢jP4«|k|.⚪íὃDEÒᦪQÓ{Ḅ?Ḅᙶ᪗ᱯÕ2⌕Ö×ØÙ2'"⚪ḄᐵÚP⌕Û!Òᦪg=kx+b,î2~k,b ðᦪḄQÓPᩩ.Hêx¶Ḅ?ᙶ᪗P-'2qêg¶Ḅ?ᙶ᪗P2b .{äG?Ḅᙶ᪗ó´µÒᦪᐵ¥ôy=kx+b.3ஹOP⚪&ᜧ⚪ᐳ9)⚪*ᐳ78ᑖ.k45⚓/n57⚓
4519.wx|-2|+20180-(1)'+4sin30°ூᫀ2ூᑖ᪆⚗ᑭᵨᦪḄḄ ᦪ !⚗ᑭᵨ"ᢣᦪ$%ᑣ '⚗ᑭᵨᢣᦪ$%ᑣ (⚗ᑭᵨ)Ḅ')*ᦪ ᓽ,-ᑮ/0.=2+1-3+4ᔩ=2+1-3+2=2.9:;⚪ὃ>?@ᦪḄA BC0ᢣᦪ$Dᦪᢣᦪ$ḄA %ᑣஹ)Ḅ')*ᦪDḄឋHI;⚪ḄᐵK.1320.ᑖLM--=-x-2xூᫀx=3ூᑖ᪆ᑖLMOᑖPQᓄSLM TULMḄ-ᑮxḄ VWXᓽ,-ᑮᑖLMḄ.ூLMYZ[\]x(x-2),-a3(x-2),-x=3,WXx=3b x(%-2)=3x1=3/0,ᑣᑖLMḄSa3.e⚪ὃ>?ᑖLM ᑭᵨ?QᓄḄfg ᑖLMhi⌕WX.21.l 9E,FᙠABr CEtDFv9H,AD=BC,ZA=ZB,AE=BF.TyGE=GF.ூᫀy{|᪆.ூᑖ᪆ᵫAE=BF,y-“a=8E,CᩩᑭᵨSASy{AADF4BCE,᪷ᐰ')ḄZḄឋHᓽ,-/.y{AE=BF,.AE+EF=BF+EF,.AF=BE,46⚓/57⚓
46ᙠAADFtABCE 'AD=BC•NA=NB AF=BEAAADF^ABCESAS/.ZCEB=ZDFA,.GE=GF.9:e⚪ὃ>?ᐰ')Ḅᑨ ⚪ḄᐵKITyAF=BE,e⚪Ạ⚪.22.ᙠ)ᜋ)NOBOA±OB,¡¢£ᨵ▲ ¦§20?¡Ḅᜋ t)ᜋ)AOBªᡂᙢ☢S®Ḅ¯° ᙢ☢®AOBCḄ☢±S96,³.1T´ᙢ☢®Ḅ¡2ᨵµ¶S0.80x0.80·1.00x1.00ᓫ¹:»Ḅᙢ¼Ẉᓫ¾ᑖ¿S50ᐗ/ᙽ·80ᐗ/ᙽ ÂÃ⌱ᐸ(Æᙢ¼Ẉ[ាÈÉÊ˯°Ḅ®ᙢ☢£ᨵ Ì◣ ᵨÎ(Ƶ¶Ḅᙢ¼ẈÏᵨÐÑÒAC-------------------------------------------------------------------------IIIIIIIIIIIIIIIo\B7////7//////////7ூᫀ1´Ó☢®ḄСḄZS12Ô2⌱ᵨµ¶S1.00x1.00ᓫ¹»Ḅᙢ¼ẈÏᵨÐÑூᑖ᪆1᪷⚪i⊤ÖU¡LḄ¡ ×Øᑭᵨ¡ÙÚ=☢± TUᓽ,.2ᑖ¿ UÛ(µ¶Ḅᙢ¼Ẉᡠ◤ḄÏᵨ ᯠßàÐᓽ,.ூ1á´ᙢ☢®Ḅ¡Iᑗ? ᑣã⚪i-x20-x=96,-=12,4=8åO ´ᙢ☢®Ḅ¡I12Ô2µ¶S0.80x0.80ᡠ◤ḄÏᵨ:96-0.80x0.80x50=7500ᐗ.47⚓/57⚓
47µ¶S1.00x1.00ᡠ◤ḄÏᵨ:96+(1.00x1.00)X80=7680(ᐗ).æS7500V7680,ᡠ]çᵨµ¶S1.00x1.00ᡠ◤ḄÏᵨÐÑ.e⚪ὃ>?(ᐗ!èLMḄᵨ ᪷⚪i ᑡUêᔠ⚪i(ᐗ!èLMI⚪ḄᐵK.23.ìíîᦟðñᔁóôõö÷tḄø¢tù¢×úô¾ ᐸô¾⚗ûSüýHᶧஹfὃஹÿ ஹ⚪⚗Ḅ ᑴᡂ#ᡠ%Ḅ⚣ᦪᑖ)*+#,ᡧ./0#(ᙳ3ᨵ5) 8᪷:#ᡠ;<=>?ᑡA⚪(1)ᙠCD EᐳGI(2)ᙠᡧ./0# ⚗“KLMᶧ”ᡠᙠḄᡧ.ḄᙊQRḄSᦪTSI(3)8U⚣ᦪᑖ)*+#⊡ᐙ5I(4)XᐰZᨵ8600[\] ^_ᙠ`ᔁb “cὃ”Ḅ[\]eᨵfghiூkl>ᫀ(1)560I(2)54I(3)opI(4)2400ூᑖ᪆(1)ᵫ“s ”Ḅhᦪ◀uᓰḄwᑖxyz{ᦪᓽ};(2)ᵫ“KLMᶧ”ᓰḄwᑖxu360°ᓽ}ᑮXI(3)yz“⚪”Ḅᦪ ⊡ᐰ/0#ᓽ}I(4)yz“cὃ”ᓰḄwᑖx u8000ᓽ}ᑮX.ூp(1)᪷:⚪224 40%=560() ᑣᙠCD E560Iᦑ>ᫀT560I84(2)᪷:⚪——X360°=54°,560ᑣᙠᡧ./0# ⚗“KLMᶧ”ᡠᙠḄᡧ.ḄᙊQRḄSᦪT54SIᦑ>ᫀT54I48⚓/{57⚓
48(3)“⚪”ḄhᦪT560-(84+168+224)=84,⊡ᐰ/0#?:(4)᪷:⚪8000X——X=2400(h) 560ᑣ“cὃ”Ḅeᨵ2400h.⚪ὃG⚣᳛(ᦪ)ᑖ)*+# ᡧ./0# uᵨ᪵0{¡ ¢£⚪Ḅᦪ:¤⚪Ḅᐵ¦.24. # §D¤00Ḅ*©CA¬®¯E§ §Bᙠ00¯ ±/DBA=/BCD.(1)²³BD¤OḄᑗ®.2(2)§E¤¸¹BC¯E§ AEBCº»¼§F,±ABEFḄ☢¿T16,cos/BFA”5,^_ ÃÄyzAACFḄ☢¿ᔩiÄ 8Ãyzᐸ☢¿I3ᨵÄ 8dzᳮᵫ.ூkl>ᫀ(1)²³o᪆I(2)36ூpᑖ᪆(1)BD¤Ḅᑗ®.ᐜÊËᵫ¼4C¤*© ^_//8C=90 ¼¤Zl+ZC=90°,Ð4=08,}N1=N2,Z3=ZC,᧕N2+N3=90°,ÓÐ}²8¤OOḄᑗ®I'RF?(2)ᵫ¼cosN8E4=—,^_---=—»ᑭᵨᙊᕜR×ᳮ}ØNE=NC,N4=N5,3AF3sBF7᧕²Ù£'8Üs/\C4F,¼¤,ÓÐ᧕yÙZCFḄ☢¿.49⚓/{57⚓
49pß1 8¤Ḅᑗ®.ᳮᵫ?#ᡠ% ÊË08.• ூC¤Ḅ*© 6 /4BC=90,AZ1+ZC=9O°.•60A=0B,/.Z1=Z2,AZ2+ZC=90°.VZ3=ZC, N2+N3=90 ¤Ḅᑗ®I2 ᙠRtZ^45b.2BF2•CQS/LBFA——9---=E.3AF3VZ£=ZC,Z4=Z5,:•9EBFs^CAF,áß$AFâBF=ß/BFஹ 22,ᓽ10E=,ß2ã2_,Syå22.5.ஹACFAArஹ&CFAJ§æ⚪ὃGᑗ®Ḅᑨ×ஹºèéR.Ḅᑨ×,ឋMஹᙊᕜR×ᳮஹëì.⚪Ḅᐵ¦¤ÊË08,í²³AEB/s^c/F.k25.îØïᦪy=-2x+10Ḅ#ðñxòïᦪy=—(k>0)Ḅ#𺻼AஹBó§(AḄxBḄôõ).(1)öA(4,2)÷ yñxòïᦪḄ᪆ø(2)öAḄùᙶ᪗¤3,BḄùᙶ᪗¤2÷ *®OAñxòïᦪ#ðḄüEý»¼üE§C,ÊËBC»yþ¼§D.জ CḄᙶ᪗ঝ DḄᙶ᪗ঞ AABCḄ☢.50⚓/57⚓
50VQூᫀ(1)y=~;(2)জC(-3,-4),B(2,6)ঝDḄᙶ᪗(2,2)ঞ1().xூᑖ᪆(1) !"#ᦪy=A(k>0)%&A(4,2),ᓽ()ᑮ!"#ᦪḄ᪆+X,8-.x(2)জ #ᦪy=-2x+10Ḅ%&AஹB01()A(3,4),ᓽ()ᑮC(-3,-4)ঝᑭᵨ456ᦪ7()89BCḄ᪆+y=2x+2,:;)“CH—SABCG-SQABH:?@Z.(1);!"#ᦪy=K(k>0)Ḅ%&A(4,2),X k=4X2=8,!"#ᦪḄ᪆+y=-x(2)জ..•#ᦪy=-2x+10Ḅ%&AஹB01AḄCᙶ᪗D3,BḄCᙶ᪗D2,...Ex=3F,y=4Ex=2F,y=6,AA(3,4),H890AIJ!"#ᦪ%&ḄK.LMNK.C,AC(-3,-4),B(2,6)ঝO89BCḄ᪆+y=ax+b,ᑣ[-4=-3a+bI6=2a+b')(lb=2.,.89BCḄ᪆+y=2x+2, ,•Qx=2,ᑣy=2,51⚓/57⚓
511DḄᙶ᪗S2,2UঞaABCḄ☢-S[>ROGH-S]SnBCGAAB=—(2+10)X6--X10X5--X2X1222=36-25-1=10.jk⚪ὃno456ᦪ7 #ᦪ᪆+1!"#ᦪI#ᦪḄMp⚪ !""#ᦪI#ᦪḄMᙶ᪗1q0#ᦪᐵ6+ὶtᡂvwx 1yvwxᨵᑣ0ὅᨵM1vwx|1ᑣ0ὅ|M.26.ᙠ%1--%41>ABCDḄ3,ZA=60°,MDAD.1DM=2AD,S1U%1,ENᙠBC1MN9ACIBDḄMF,ᑣ9ANḄS2UENᙠABF14AMNMNᢚ)ᑮAAMN,%2,জyA1ᙠAB1ᑣ9ANḄঝEA1ᙠ9ACF1%3, >AMA1ND>ARঞEA1ᙠ9BDF1%4, Ḅ.ANூᫀS1UV13S2Uজ1ঝ᪆S3Uyூ⚪ᑖ᪆S1UNNGL/8NG,᪀⌼8¢>1ᑭᵨ£¤5ᳮ¦p⚪;52⚓/57⚓
52(2)জᑭᵨ9ᚖ9Ḅឋª)ᑮ/N=WN,«ᵫ¢#ᦪ )ঝᑭᵨ>Ḅឋª)ᑮ9ᑖ®.x1)ᑮNDAC=2CAB=30°,᪷ ᢚḄឋª)ᑮNAMN=NANM=60°,AM=AN,AM=A'M=AN=A'N,>AM4WD>ঞ᪷ >Ḅឋª)ᑮ4ff=4D,ZADB=AABD=60°, ))AM=AM=2,/NAM=AA=60',)ᑮNAWB=/OKr,ᵨ¢>°±)ᑮ²³.⚪᪆(1)%1,NNG_L/3NG,•.•>48coD>1J.AD//BC,OD=OB,DMOD,-----=-----=LBNOB,.BN=DM=LAD=1,3ND48=60°,•••NNBG=60°.•PC1CM´22•AN7AG?+GN?=+µ=V13.ᦑᫀV13.(2)জE4ᙠAB1ᑣMV4rḄᚖ91NDAB=60°,AM=2,,.AN=-AM=l,2ᦑᫀ1ঝᙠ>Z8C1/Cᑖ/D48,53⚓/57⚓
53•••"48=60°,•NDAC=NCAB=3(T,,//\AMNMNᢚ)ᑮ]4MN,,.AC±MN,AM=A'M^4N=A'N,•••ZAMN=ZANM=60",,.AM=AN,,.AM=A'M=AN=A'N,>NMZ'ND>ঞᙠ>N8CQ1AB=4D,ZADB=ZABD=60°,-ZBA'M=ADMA'+AADB,,.A'M=AM=2,ANAM=ZA=60°,NNA'B=NDMA',,./\DMAs/\BA'N,.DMA'B"AM~^N'-,MD=-AD=l,A'M=2,3,A'B1••----=—.AN2jᩩ°¹Ḅ>D>.27.%1,ºᱥ9y=-x2+2x+3Ix¼MNA,B,Iy¼MNC,ºᱥ9Ḅ⚔D,891CMx¼NE(4,0).(1)ᑏOFPCḄ☢S, SIxÄÅḄ#ᦪᐵ6+1Æ SḄ(3)Qᙠx¼ḄǼÈÀ1Qy¼Ḅ?91M891NM,Mºᱥ9NN,ÉÊCN,4CMNCNË1MḄÌMlᙠ%2ÍÎDᔲÐᙠQ,Ñ)M"ាÓᙠy¼ÔyÐᙠ1Õ 54ூᑖ᪆(I)ᐜqºᱥ9᪆+Ùᡂ⚔+ᓽ()ᑮᙶ᪗1« Ḅ☢à+()S=-/+-x(1ᩏ3),«ᑭ•2ᵨ;J#ᦪḄឋª SḄ_3(3)%2,O(/,0)(/>0),ᑣ(⊤ä55MপফBDḄ᪆ ᱏ3m+n=0in=-2 6(3,0),D(1,4)ᑖ!"ᐭv%m+n=4n=6 , BDḄ᪆ & 2x+6,'ijP(x,-2x+6),19••S=-,(-2x+6+3)*x=-x2+-(l0),ᑣ5(Z,--/+3),N(Z,2+283),4311 MVᧅ&+2/+3 (•*83)|=|<*=,44>#2+(_A+3_3)2=Lt•BCCNNDCNEFGMḄHIJ MKᙠyLMGNQVOL,56⚓/57⚓
56 4MCN=/CNM,*/MCN=/CNM\: CM NM':.NM=CM,)P.—1=-tfR=0STUVGG2=4,Y+0Jᙶ᪗ S4,0V\4411533)P.*/=--/,==0STUVG^=*GY+0Jᙶ᪗ S*G0V,44223_MᡠaGJḄᙶ᪗ SbG0VᡈS4,0V.57⚓/57⚓
