【中考数学】2022-2023学年天津市九年级下册专项突破模拟卷（AB卷）含解析

《【中考数学】2022-2023学年天津市九年级下册专项突破模拟卷（AB卷）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。

ூ
ὃᦪ௃2022-2023ᜩ⚗ẚᔁAᔁஹ⌱⌱⚪3ᑖᐳ30ᑖ1.☢ḄᦪᦪḄX.2A.y=3x+1B.y=—C.y=x1+2xD.y=—2x2.᝞OḄ஺PஹேᑖAஹBC!"#$ᑣNACB=D.2V2D.&34.᝞'ஹ஺஺஺$Ḅ(8c)*.,NQ=32஺ᑣNO/C=A.64°B.58°C.72°D.55°5.-ᦪ.=e**0•2ᑡ45ḄA.6x>0,y7xḄ8ᜧ:8ᜧB.6x=2;yᨵ=3C.>Ḅ⚔ᙶ᪗B-2,-7
D,>xᨵ(6.᝞BOOḄ)*AB=6,C8,ᚖGBG,EFᑗ©0B,ZA=30°,HIAD,OC,BC,ᑡJKLᨵM5ḄN1⚓/Q52⚓

1A\.EF//CDB.RC03STUVWD.XḄYB6C.CG=DG7.᝞ᙠRABC_NB=90°,BC=8AB=6cm,gPiAjklTABᔣBnIcm/sḄqrsggQiBjklTBCᔣCn2cm/sḄqrsg.,P,QᑖiA,Bv;wxᙠygz{_,RPBQḄ☢|)B.12cmJC.9cmJD.3cm2-Ḅ9.ᦪὁv᪥ᑁᜐḄᜧ᪛ABḄr᝞ὁᜧ᪛XᚁDEḄᚁri=l4,ᙠᚁ⚔EḄ¡¢£DFB8mᜐḄDᜧ᪛⚔AḄ¥3___VBa,§¨sina=/,BE=1.6m,ª«CD=1.6m,ᑣᜧ᪛rABBm.N2⚓/Q52⚓

210.᝞¬ᱥ®y=ax2+bx+c³0Ḅ-´B)®x=l,xḄ(ᙶ᪗B1,0,ᐸ¶ᑖ᝞ᡠ¸ᑡJKজ4ac<஻¼ঝ¾{ox2+bx+c=0Ḅ(᪷xi=-1,X2=3¼ঞ3a+c>0¼ট6y>0;xḄÅ=Ç13<3¼ঠ6x<0;y7x8ᜧ:8ᜧ.ᐸ_JKM5Ḅ(ᦪ-1/0A.4(B.3(C.2(D.1(ஹ⚪⚪3ᑖᐳ24ᑖ11.ÉÊtan45°-2cos600=.12.ͬᱥ®y=2x-12+2ᔣ΢s3(ᓫÐÑᔣ¢s4(ᓫÐÒÓᑮḄ¬ᱥ®Ḅ⊤Ö×B.13.᝞ᙠØ*B3Ḅ஺஺_)*ABCCDÙE,HIAC,BD.,AC=2,ᑣcosD=.14.ᦪy=x2-bx+cḄ$ᨵA3,-8,B-5,-8,ᑣª¬ᱥ®Ḅ-´N3⚓/Q52⚓

3)®x=.15.᝞0OḄ)*CD=20cm,AB஺OḄCAB1CD,ᚖGBM,,OM=6cm,ᑣABḄYBcm.16.ÚÛÜÝḄᙊWß¡àḄ¡á᝞জᡠ¸᝞âã®APB⊤¸äBOᨬæḄᩩ9¡è᝞ঝᐸ$Ḅ¡éḄryêᐵ¡¢£xêḄᦪì᪆×By=-x2+4x+-,4ÒÓᙊW¡àḄØ*îïBê;ðñßwḄ¡èLᨵäᙠ¡à᜜.17஺ஹ஺8ஹ஺஺LᨵÙóØ*ô0.5cm,ᑣ_ḄU(ᡧWᓽ▢ø¶ᑖḄ☢|18.᝞ù¨SῪA/SC,AB=BC,n48B)*Ḅᙊ4C஺z஺Ḅ஺஺Ḅᑗ®BCE,,CZA5,CE=4,ᑣ஺஺ḄØ*.Uஹìü⚪ᐳ66ᑖ19.᝞ᙠAABC_ZABC=90°.NA=30஺DTAB$ZBDC=45°,AD=4,ýBCḄY.Jâþᶇ᪷
4⚓/52⚓

420.᝞48coᑁᙊ஺8஺ZBAD=105°,NDBC=75°.(2)ᙊ஺Ḅ3,8CḄ.21.᝞ᙠ☢!"ᙶ᪗%xOy&'(y=ax?+bx+2)B(—2,6),C(2,2)*+.(I),'ᱥ(Ḅ.᪆01(2)2'ᱥ(3y4Ḅ5+D,ABCDḄ☢6.22.78ᡂ:;Ḅ<=>⌕@0ABᜧDEFᙠ78GHI7JKLM7JNᙠOᳮ<=QRSTLMLMUVWX1000ᐗ,├[\]^Xx(ᐗ/V)3Uᜩ5᧕by(V)defg᝞ᡠiᐵ%.(1)ky3xdeḄlᦪᐵ%01(2)ᑏkUᜩḄᑭpW3XxdeḄlᦪᐵ%0.qr7JὁtuvXwxByzUᜩ{|ḄᑭpᑭprBy}t~஻T100150023.᝞]'ᱥ(y=x2-(m+3)x+9Ḅ⚔+Cᙠx4ḄN48lᦪy=x+335⚓/52⚓

5'ᱥ(5AஹB*+3xV4ᑖ5DஹE*+.IḄ;24.᝞ᙠ48C&AB=AC,Z8!Ḅ஺஺ᑖ5(5C,ZC+£>,E,)+஺஺_L4C,ᚖg(RD,48Ḅ(¡5+G.1¤]஺/rG>OḄᑗ(12CF=1,DF=6&▢ªVᑖḄ☢6.25.I«¬®ᩗ°Q±²Ḅ³´®µᜧIᙠᓭḄ·¸¹º.ᡃ*⁂½¿ÀᙠᡃKÁÂÃÄ(8ḄAஹB*ᜐ·¸ÆÇ[\<⁂ÈᨵʳËḄÌÍᙠCᜐÎ.᝞ᡠiAB=60«+JIÔᙠBᜐÕ|Cᙠᓅ×Â45஺Ḅ@ᔣ8AᜐÕ|Cᙠᓅ×Ã30஺Ḅ@ᔣ8ᙠÄ(AB8ᨵ<ÚᛞD,Õ|AD=120ஹ%-J5Ô.Rn6⚓/52⚓

6(1)ᑖkA3CÞB3CḄßàAC,BC(áâãᶇ᪷
)(2)ᙠÚᛞDᕜæ100ÔæᑁᨵᨩờêᡃᙠAᜐ½ëACìíCᜐîï⌶&ᨵñòờḄᓻ◅}(õὃᦪ÷]72=1.41.6=1.73,76=2.45)7⚓/52⚓

7ூ
ὃᦪ௃2022-2023ᜩ⚗ẚᔁAᔁ<ஹ⌱<⌱Uù⚪3ᑖᐳ30ᑖ1.ü☢ḄlᦪrýþlᦪḄr)X2A.3x+lB.y--C.y=x2+2xD-y="2xூ
ᫀ௃Cூᑖ᪆௃᪷ᦪḄᙢ,᝞y=ax2+bx+caஹbஹcᦪa/O
Ḅᦪᑨᔜ⌱⚗ᓽ".ூ$%௃%/ᦪᦑ┯);B+,ᦪᦑ┯);Cᦪ
:஺/+,ᦪ┯).ᦑ⌱C.0⚪ὃ3ᦪḄᑨᦪᔲᦪ✌ᐜ⌕89Ḅ:;ᔲ<᦮>?᦮>@ABᓄDḄ⌕ᐜEᐸᓄGᯠIJ᪷ᦪḄKLᑨMᢕO⚗PᦪQᨵ<0STᐵVᩩX.2.᝞YZ[OḄ0P\XஹJ]ᑖ^_`AஹBa[bcBd[ᑣ/ACB=fB.90°C.100°D.gh
ூ
ᫀ௃Bூ$%௃i⚪ᑖ᪆᪷ᙊᕜlᳮḄno"pZACB=ZAOB=90°,ᦑ⌱B.ὃ[ᙊᕜlᳮḄno3.ᙠRtZ\ABCsNC=90°,AB=6,AC=2,ᑣsinA=tfu8⚓/w52⚓

8A.iB.2C.&D.'3333ூ
ᫀ௃Cூ$%௃~NC=90஺,AB=6,AC=2,BC=JAB?-AC?=>/62-22=4"ᦑ⌱C.ᵨ┦llᦪḄᳮᙠlls┦lḄ<;+;<;+;ᑗ<;+;.4.᝞YA,஺஺0dḄaT[8C.?40=32஺ᑣNO4C=()DA.64°B.58°(72°D.55°ூ
ᫀ௃Bூ$%௃ᐜ᪷ᙊᕜlᳮLN8/4CḄ¡ᦪ,Jᵫ°ῪlḄឋ³LNO4BḄ¡ᦪ¢£"pL¤o.%/஺=32஺:NB=/D=32஺,ZBAC=90°.♦.0A=0B,..NBAO=/B=32஺,..ZOAC=ZBAC-ZBAO=9Q0-32°=58°.ᦑ⌱B.5.`ᦪ#=±x*\©ªᑡ¬
Ḅ()A.´x>0,y¶xḄ·ᜧ£·ᜧB.´x=2¹yᨵº3u9⚓/w52⚓

9C.Y»Ḅ⚔[ᙶ᪗

10/4ஹt\J\JJLA3j,8cḄÏ<------=ÓD┯)180ᦑ⌱D.7.᝞YᙠaABCsZB=90°,BC=8AB=6cm,Ô[PÕ[AÂÖ×;ABᔣ[BÁlcm/sḄØ¡ÙÔÔ[QÕ[BÂÖ×;BCᔣ[CÁ2cm/sḄØ¡ÙÔ.?P,Qa[ᑖ^ÕA,Ba[Ú¹LÛᙠÔÜÝsÍPBQḄ☢ßtfூ
ᫀ௃Cூ$%௃i⚪ᑖ᪆ᐜ᪷àá;ÏBC,J᪷[PâQḄØ¡⊤äBPâBQḄÏåÍPBQḄ☢ßᑡᐵ`S\tḄᦪᐵP>èᨬºᓽ".VtanZC=—,AB=6cm,BC=8,4BCBC4ᵫ⚪êpAP=t,BP=6-t,BQ=2t,å4PBQḄ☢ß

11ூ$%௃⌱⚗AᦪY»ஹஹí▲ïða>0,b>0,`ᦪY»òóÂÃᔣdô]ᙠy]:õQᨵᔠ⚪ê⌱⚗BᦪY»ஹ8ஹ÷í▲ïð“<0,b>0,`ᦪ᜛=Á2-ÁY»òóÂÃᔣªô]ᙠy]ûõQᨵᔠ⚪ê⌱⚗CᦪY»ஹஹí▲ïð஺>0,b>0,`ᦪf=஺ü2-fcv
ᔣᙠyᔠ⚪⌱⚗Dᦪ
ஹஹ▲!஺>0,b>0,'(ᦪyvx2--
ᔣᙠy.ᨵᔠ⚪.ᦑ⌱C.9.ᦪ45ὁ7894:;<=᪥ᑁ@ᜐḄᜧ᪛ABḄGH᝞ὁ7

12EF1EF᪷⚪J——=-=ߟߟ,DF18JEF=2,'.DC=1.6m,:.FN=L6m,.,BG=EN=O.hn,.34Gsina=5=1/.AG=3.r,ᑣAC=5.7,ᦑBC=Lr,ᓽ8+L6=4x,JH=2.4,ᦑAG=2.1x3=7.2m,ᑣ43=4G-BG=7.20.4=6.8lmm,ᦑ⌱D.10.᝞ᱥuy=ax2+fcc+cl0mḄ\ux=l,xḄw_ᙶ᪗\l1,0m,ᐸᑖ᝞ᡠoᑡজ4"<஻¤ঝ¦§Ox2+6x+c=0Ḅ¨᪷©ª=-1,X2=3¤ঞ3a+c>0¤ট®y>0¯xḄ°±³©1q<3¤ঠ®x<0¯y¶x·ᜧ¸·ᜧ.ᐸ¹º»Ḅᦪ©lmூº»½ᫀ௃BூÀÁ௃Áᱥuxᨵ2w_,..b2-4ac>0,ᡠÂজº»¤y13⚓/|52⚓

13•.•ᱥuḄ\uÄ1,¸_l-1,0mᐵ'uÆ1Ḅ_Ḅᙶ᪗\l3,0m,•*.¦§ax2-+bx+c=QḄ¨᪷©xi=-1,ᑘ=3,ᡠÂঝº»¤Vx=——=1,ᓽ6=-2a,¸x=-l¯Ê0,ᓽa-6+c=0,la..a+2a+c=0,ᡠÂঞ┯̤:ᱥuxḄ¨_ᙶ᪗\l-1,0m,l3,0m,...®-l0,ᡠÂট┯̤:ᱥuḄ\u-1,...®x0¯ᱥuᔣ®a<0¯ᱥuᔣ¤⚗Ñᦪ68(⚗Ñᦪaᐳ9ÔÕḄØÙ®a89Ú¯lᓽÛ>0m,ᙠyܤ®஺bÝÚ¯lᓽ¸ீ0m,ᙠy¤ßᦪ⚗cÔÕᱥuyw_ØÙᱥumw'l0,cm;ᱥuxw_ᦪᵫâÔÕâ=஻-4“c>0¯ᱥuxᨵ2w_¤â="-4"c=0¯ᱥuxᨵ1w_¤â="-4࠷

14'(y=2(x+2)2-2.ὃ,-./0ᦪ234567ᣚ.13.᝞2ᙠ;<(3Ḅ஺O?@

1515.᝞200Ḅ@

169U-Ḅ;<«¬·§®¯°±Ḅ¡²ᨵᙠ᜜.29ᦑUᫀ`-217.04ஹOBஹDCww²ᨵFG¹;<`0.5cm,ᑣ2?Ḅrᡧsᓽ▢¼½ᑖḄ☢¿ÀÁ(kூY௃-rosḄᑁoÁ(180¦ᡠÃr▢¼ᡧsḄᙊhoḄÁ(180°,ᵫHÄÅḄ;<(0.5cm,.180^-x1
2.•5▢¼=-------^-=-c2-m36087TᦑUᫀ`--cm\818.᝞2ÆÇÈῪA/BC,AB=BC,ÃZB(@<ḄᙊG4CH,஺Ê,஺Ḅ00ḄᑗGBCE,B8=5,CE=4,ᑣ஺஺Ḅ;<`.8ூY௃᝞2ᡠ-KLODஹBD,"17⚓/%52⚓

17••AB`00Ḅ@<,JNADB=90°,ABD1AC,Ì.AB=BC,AAD=CD,XVA0=0B,A0D`AABCḄ?OD஻BC,ÎDE`஺0ḄᑗADE10D,ADE1BC,VCD=5,CE=4,JDE.52-42=3,SABCD-BD•CD+2-BC*DE~r2>5BD=3BC,3:.BD=-BC,5VBD2+CD2=BC2,325BC=—34VAB=BC,"18⚓/%52⚓

18_.஺0Ḅ;<`-k-2=—.48ᦑUᫀ`-—.8rஹU⚪ᐳ66ᑖ19.᝞2ᙠaABC?ZABC=90°,ZA=30°,D`ÑABuk,ZBDC=45°,AD=4,ÒBCḄÓ.ÔÕᶇ᪷ØூSTUᫀ௃BC=273+1.ூY௃Z⚪ᑖ᪆-ᵫ⚪Ù
4BCD(ÈῪ@orosÚÛBD=BC,ᙠRtaABC?ᵫZAḄSᑗÜ
Ò±BCḄÓ.Z⚪᪆--/B=90஺ZBDC=45°,/.ÝBCD(ÈῪ@oros:.BD=BC,ᙠRtaABC?tanA=tan3r="ᓽß஺,AB3c+43-BC=2V3+1.ὃ,-@oros20.᝞2ÆÇàÑsᑁLHᙊ஺KL8D,ZBAD=\05°,NDBC=75°.2
Mᙊ஺Ḅ;<(3,ÒáḄÓ.ூSTUᫀ௃1
âãÊä᪆_2
ᐔ"19⚓/%52⚓

19ூᑖ᪆௃(1)@Lᑭᵨᙊᕜopᳮ±NDC5Ḅ¦ᦪᑭᵨNDC8=NO8CÒ±Uᫀ;(2)✌ᐜÒ±ëḄ¦ᦪᑭᵨìÓ'@LÒ±Uᫀ.ூY௃(1)•,àÑs48C஺ᑁLHᙊ஺NOC8+N84A180஺VZ5JZ>105°,..ZDCB=\SO0-105°=75°,ZDBC=75°f./DCB=NDBC=75஺,..BD=CDF(2)•:NDCB=/DBC=75஺,.NBDC=30஺,ᵫᙊᕜopᳮëḄ¦ᦪ(-60°,ᦑënjiR60TTX3=713Tso-180U-6cḄÓ(ñ.ò⚪ὃóḄ`ᙊᑁLàÑsḄឋõஹÈozÈÑஹìÓ'ö÷ᙊᑁLàÑsḄzoø⊡`⚪Ḅᐵú.21.᝞2ᙠ☢@oᙶ᪗ýxOy?y=ax?+bx+2B(—2,6),C(2,2).(1)ᱥḄ᪆(2)ᱥyḄD,4BCDḄ☢$.ூ&'(ᫀ௃প,-.x+2.(2)4.ூ/௃⚪ᑖ᪆2(1)3BஹCḄᙶ᪗7ᐭ9a;bḄ<ᓽ>9ᱥḄ᪆:(2)3ᱥ᪆ᓄᡂ⚔9⚔ᙶ᪗CDᵨᒘ⊡H94BCDḄ☢$ᓽ>.I20⚓/M52⚓

204a—2b+2=6⚪᪆2(1)3B(-2,6),C(2,2)ᙶ᪗7ᐭO2<,Q°4a+2b+2=2-JSTUVWCO“ߟ5,b=-\ᱥḄ᪆y=yx2-x+2(2)Xx=0,ᑣy=2D(0,2)/.ZBCDḄ☢$X4X2=4.22.[\]ᡂ^_Ḅ.`a⌕UCcdᜧfghᙠ[\jkl[mCnop[m&ᙠ7ᳮ--`stuvopCopwxyz1000ᐗC├}~2zx(ᐗ/x)wᜩ᧕y(x)᝞ᡠᐵ.(1)9yxḄᦪᐵ(2)ᑏ9wᜩḄᑭWzxḄᦪᐵ.[mὁCzdCwᜩOḄᑭCᑭdBOO1500ூ&'(ᫀ௃(1)^=-0.1%+180.(2)z1400ᐗ/xCwᜩᑭ16000ᐗ.ூ/௃⚪ᑖ᪆2(1)yxḄᦪᐵ^kx+b(M0),᪷¢ᡠ£ᦪ¤ᑡ9ᐵ¦kbḄᐵC9kஹbḄ<ᓽ>(2)3wᜩḄᑭWᓫzxḄᦪᐵᓄ¨©ᦪ⚔ḄªCᵫ¬ᐵᓽ>O9®.⚪᪆2(1)yxḄᦪᐵy=kx+b(k#0),ᵫᡠ£ᦪ¤>¯,1300"6=50’1500°+6=30''°=-0.1O2<6=180I21⚓/M52⚓

21ᦑyxḄᦪᐵy=-O.lx+18O(2)VW=(x-100)y=(x-1000)(-O.lx+180)=-0.1x2+280x-180000=-0.1(x-1400)2+16000,³x=1400CW=16000,.•.z1400ᐗ/µCwᜩᑭW=16000ᐗ.23.᝞C]¯2ᱥy=Y.(¶+3)x+9Ḅ⚔CᙠxḄ&·\Cᦪy=x+3ᱥ¦AஹBCXVᑖ¸¦DஹE.(1)”Ḅ<ூ/௃⚪ᑖ᪆2(1)᪷¢ᱥy=x2-(m+3)x+9Ḅ⚔Cᙠx&·\C>Oᱥxºᨵ.TCᡠ¼Z=(),¢¬9mḄ.(2)ὶ¿ᱥᦪḄ᪆C9AஹBḄᙶ᪗ᔜdᓽ>.⚪᪆2(1)2ᱥy=x2-(m+3)x+9Ḅ⚔Cᙠx&·\C...ᱥxºᨵ.TC(m+3)24x9=0,Om=3ᡈm=-9)p...(¶+3)Ã----->0,2I22⚓/M52⚓

22m=3.(2)ᵫ(1),>Om=3,ᱥḄ᪆2y=x2-6x+9,fy=x2-6x+9ὶ¿ÈC[y=x+3᪷¢C>OAḄËᙶ᪗̦BḄËᙶ᪗CAḄᙶ᪗Í1,4Î,BḄᙶ᪗Í6,9Î.24.᝞CᙠZ/BCÏCAB=AC,¼Z8ÒÓḄ஺஺ᑖ¸ÕSC,4cD,E,஺×஺F_L4C,ᚖ,CÕᵨ9,ḄÜÝÞ¦G.Í1Îà2஺,00ḄᑗÍ2ÎCF=1,DF=6Ï▢ãxᑖḄ☢$.ூᑖ᪆௃Í1Îäå0D,ᵫ43ÒÓ>O9஺8CḄÏCᵫ¬O9஺஺Z8NCḄÏçCè᪷¢ÏçḄឋêᓽ>O9,Cëìà9஺,OOḄᑗÍ2ÎCF=1,஺,=îCïÒðñðªO98=2ஹNC=60°,ëìO9ZZBCòóñðªCèᑭᵨᑖᒘª☢$Hᓽ>O9▢ãxᑖḄ☢$.ூ/௃Í1Îàô2äå40ஹ0D,᝞ᡠ.ÒÓC..ZADB=90°,..ADLBC,\'AC=AB,I23⚓/M52⚓

23...஺Õ8cḄÏ.:஺ᨴ8ḄÏCZB/CḄÏç,..OD//AC,'.DF±AC,..OD1DF,,஺஺Ḅᑗ.(2)2ᙠRtACFDL,CF=1,DFᔆtanZC=---=-J3CCD=2,CF..ZC=60°,♦.AC=AB,òóñðªC..AB=4.•.OD//AC,•ZDOG=ZBAC=60°t:.DG=OD,tanND()G=26160,È2:.S▢ã=SAOOG-SOBD^—DG,OD-----ᐔxOB2=25/3-4•23603÷⚪ὃùlòῪñðªḄឋêஹᑗḄᑨஹᡧª☢$Ḅýþ¼ÿ
☢Ḅ⚪Ḅᐵ(1)(2)ᑭᵨᑖᒘ☢▢ᑖḄ☢.⚪!"#᫏⚪%&'ᨵᜧ*+⚪,⚪-.ᑭᵨᑖᒘ☢☢⚪Ḅ%/ᙠ1234#56783.25.:;<=>?ᩗABCDḄEF>?G6ᜧ;ᙠᓭ>ḄIJK&.ᡃM⁂>OQRᙠᡃSTUV>WXYḄAஹBMᜐIJ^._`a⁂'ᨵbEcḄdeᙠCᜐ>g.᝞i24⚓/m52⚓

24ᡠpAB=60qJ^+JI
>rᙠBᜐstCᙠᓅvU45஺ḄxᔣYAᜐstCᙠᓅvV30஺ḄxᔣYᙠ>WXABYᨵazᛞD,stAD=120q#>r.1
ᑖ|A}C~B}CḄAC,BCqᶇ᪷2
ᙠzᛞDᕜ100>rᑁᨵᨩờᡃᙠAᜐ>OACCᜐ⌶#ᨵờḄᓻ◅qὃᦪ=1.73,V6=2.45
ூ£¤¥ᫀ௃q1
AC=120ji>rBC=120G>r¨q2
ờᓻ◅.ூᑖ᪆௃q1᝞ᡠpª/C«CE_LAB"/E,¬tNCBD=45஺ZCAD=60°,CE=x,ᙠRtZ\CBE}RtZ\CAE#ᑖ|⊤pBEஹAEḄ¯&ᯠ±᪷AB=60q76+J5>r²ᐭBEஹAEḄ´µxḄ¶·¸¬ACஹBCḄ¯&¨2
᝞ᡠpª/D«DF_LAC"/F,ᙠ4ADF#᪷ADḄ¶ᑭᵨ
¹ᦪḄºDFḄ¯&ᯠ±}100»¼½¾ᑨÀ.ூÁ௃q1
᝞ᡠpª/C«CEJ_AB"/E,¬tNCBD=45°,NCAD=60°,CE=x,ᙠRtACBE#BE=CE=x,ᙠRtACAE#AE=-x,3VAB=60qV6+V2>ri25⚓/m52⚓

25x+——x=60(5/6+V2)3tx=60^63ᑣAC=¥^X=1208,BC=V2x=1205¥A}CḄ:120Ê>rB}CḄ:120Gr;(2)᝞ᡠpª/D«DF_LAC"/F,ᙠ4ADF#VAD=12O(5/6-V2)ZCAD=60°,DF=ADsin60°=180~-60Ú=106.8>100,ᦑ>OACCᜐờḄᓻ◅.ூ
ὃᦪ௃2022-2023ᜩ⚗ẚᔁ(Bᔁ)aஹ⌱a⌱(Þß⚪3ᑖᐳ30ᑖ)1.ᙠAABC#ZC=90°,᝞tanA=9äåsiḄ¶Ḅæ"()12512512A.—B.—C.—D.—13131252.çᱥXy=—(x+2p+3Ḅ⚔/ᙶ᪗()A.(-2,3)B.(2,3)C.(2,-3)D.(ߟ2,—3)i26⚓/m52⚓

263.᝞ᙠ00#ð=GNAOB=122஺,ᑣ/AOCḄ&ᦪ:qA.122°B.120°C.61°D.58°4.a:┦
sinq6q—20஺=óᑣaæ"q2A.20°B.40°C.60°D.80°5.ᐵ"ôõ¹ᦪy=qx+2FḄö÷ᑡù¤ḄqA.úûᔣ÷B./Aq2,0C.üýþÿx=2D.ḄᑖyxḄᜧᜧ6.᝞☢ACḄᚁCDADḄ!"1$2,AC=3'(ᚁ⚔ᨵ+ᩚBC,+ᩚ⚔.B/A/ᨵ0ᩩ2345.6AB=10(ᑣ+ᩚBCḄ9")B.6(C.8(D.(3+-^5)(7.᝞BCDX3CDF஺஺ḄᑁIBCD0஺ḄJK"2,Z5=135°,ᑣNXCḄO"()P27⚓/S52⚓

27AAA.27rB.zrC.-D.—238.᝞TUᙠOOWN8FXJKOC_LZ6,ᚖZ"/஺⌕\BCD஺4c3"]D,^◤⌕`a0bᩩcdbᩩcefF!.A.AD=BDB.OD=CDC.NCAD=NCBDD.Z.OCA=Z.OCB.9.TUghiᦪy=x?+bx+3᝞ᡠlmniᦪy=x?+(b-1)x+3ḄoepF()P28⚓/S52⚓

2810.᝞A/ᙠJK"2Ḅ00qrsOAqḄ0/Ptu1,00rA/Ḅᑗwx/B,y/APB=60஺zOP=x,ᑣ4PABḄ☢{yᐵxxḄiᦪ}ᜧ~F!gஹ⚪⚪4ᑖᐳ32ᑖ!11.᝞NBACx6x6ḄWᑣtan/BAC=12.iᦪy=x2+6x-cḄo/1,2
,ᑣ6-cḄ".13.᝞f15ᓟ(/ḄᙠqᔣᔣᒴᙠB/ᑮAᙠḄᓅ¢£30஺ᜐ2
ᑖ¥¦ᑮ§C/¨©dª«ᙠḄ£ᓭᔣᑣdªᑮḄ®"ᓟ(.¯ὃᦪ±$73^1.732,²³ᑮ0.1
P29⚓/S52⚓

2914.᝞³´µᱥy=W+2x—1ᔣq·¸\¹/º0,3
,mnᡠ»¼µᱥḄ⊤§¾F15.᝞TU48F஺஺ḄuKXCQ_L4B,NC=2J5,BC=\,mncos/NB஺ḄF16.᝞/AஹBஹCᙠuK"2GḄ00q/BAC=45஺ᑣW▢ÀḄ☢{Áx²³WÂᶇ஻!.A17.᝞AABC"ÁCÅÆDAB=6,Ç/0ᙠaABCḄCqÈ/AÉA-C-B—AḄᒴÊÇ0ᕜ"1bᓫO/Íf0"ᙊÏஹG"JKḄᙊᙠÊÇrÐWÑABCḄCPgh4ᑗF¦!A.P2ÍB.P4ÍC.P8ÍD.PDÍP30⚓/S52⚓

30r218.᝞·xxḄuNCᑖÓwiᦪÔ=f(x20)%=ஹ(x0)Ḅox8ஹ஺×/r/஺t᜛Ḅ·wÙḄox/O,u஺E஻4C,wÝḄox/E,ᑣDE~AB$ஹ%&⚪(ᐳ58ᑖ)19.TU$᝞00ḄJK"3,XABḄO"4.ßsi஻AḄ.20.TUghiᦪy=a(x-h)2+k(aW0)Ḅoæ/çx=liᦪᨵᨬ"01.(1)ßdbghiᦪḄ⊤§¾êëoì(2)ᑭᵨo$dᩩµᱥḄïðᔣ,⚔/ᙶ᪗",Fu,çyWO.21.᝞F஺஺ḄuKXx/E,/óᙠ0஺qPBSCDTF,ZPBC=ZC.(1)ßô$CB//PDì(2)6/P8C=22.5஺஺஺ḄJKR=2,ß÷N/CḄO.P31⚓/S52⚓

31
c22.᝞Èᙢ☢qḄ/Aù0úᚁqḄᵯᩚPQ,ü»ᩚ⚔./PḄýÆF45஺ᔣþÿ6mᑮ
Bᩚ⚔PᩚQḄᑖ60஺30஺.(1)NBPQḄᦪ(2)ᵯᩚPQḄ(ᑮ1m).ᜓᵨᦪ!V3«1.7.VI«1.423.᝞#AB00Ḅ$%BC&00ḄᑗD&஺O(Ḅ)CD=CB,*+CD,BAḄ*+-E.(2).!ZC=2ZDBE.(3)/EA=AO=2,#0▢23ᑖḄ☢5.(6ᶇᐔ)224.᝞#:;<ᱥy=ax'+bx+c(a#0)Ḅ⚔ᙶ᪗&(4,)§),CDyE,-C(0,2),DxE,-A,BF(AᙠBḄHI).J32⚓/M52⚓

32(1)<ᱥḄN᪆PQA,BFḄᙶ᪗(2)ᙠ(1)0<ᱥḄRSE1(ᔲUᙠ)P,VAP+CPḄWᨬYZ/UᙠAP+CPḄᨬYW/[ᨵUᙠ]^_ᳮᵫ(3)ᙠbAB&$%Ḅ஺Mcᑗ-E,CE,xE-D,$CEḄN᪆P.ூ
ὃᦪ௃2022-2023ᜩ⚗ẚᔁ(Bᔁ))ஹ⌱)⌱(fY⚪3ᑖᐳ30ᑖ)J33⚓/M52⚓

331.ᙠaABC0ZC=90°,᝞tanA=ijksiḄWḄl-()12512512A.—B.—C.—D.131312ூnopᫀ௃BூsN௃t⚪ᑖ᪆!:;ᙠaABC0ZC=90°,tanA=—,uBC=5x,vAC=12x,᪷xyzᳮvAB=13x,ᡠbsi=-----=—.ᦑpᫀ⌱B.AB13ὃ!xyzᳮ┦ᦪḄz.2.<ᱥy=—(x+2>+3Ḅ⚔ᙶ᪗()A.(-2,3)B.(2,3)C.(2,—3)D.(ߟ2,—3)ூnopᫀ௃Aூᑖ᪆௃᪷y=a(x-h)2+k0⚔ᙶ᪗&(h,k)v:;<ᱥḄN᪆P&y=-(x+2)2+3,ᐸ⚔ᙶ᪗&(-2,3).ᦑ⌱A.ூsN௃᪷a(x-h)2+k0⚔ᙶ᪗&(h,k)v!,<ᱥḄN᪆P&y=(x+2)2+3,Jᐸ⚔ᙶ᪗&(-2,3).ᦑ⌱A.3.᝞#ᙠ஺00=,NAOB=122஺,ᑣNAOCḄᦪ&()A.122°B.120°C.61°D.58°ூnopᫀ௃AூsN௃t⚪ᑖ᪆!ᵫ-ᙠ஺஺0,48=/CᡠbNAOC=/AOB=122஺.J34⚓/M52⚓

34ᦑ⌱A.ὃ!ᙊ.4.:;a&┦sina—20஺=ᑣal-2A.20°B.40°C.60°D.80°ூnopᫀ௃DூsN௃!a&┦sina-20஺2/.a-20°=60°,.a=80°,ᦑ⌱D.5.ᐵ-¢£ᦪy=x+22Ḅ#§¨ᑡ^oḄA.ª«ᔣ¨B.A2,0C.RSE$x=2D.RSEḄ®3ᑖy¯xḄ°ᜧ²°ᜧூnopᫀ௃DூsN௃A⌱⚗!YaMlX,ª«ᔣ(ᦑ¸⌱⚗┯ºB⌱⚗!ᓽ⚔ᙶ᪗&-2,0,ᦑ¸⌱⚗┯ºC⌱⚗!RSE$x=-2,ᦑ¸⌱⚗┯ºD⌱⚗!RSEḄ®3ᑖ(ᓣḄnoᦑ¸⌱⚗no.ᦑ⌱D.6.᝞#½☢ACḄᚁCDDADḄ¿&1!2,AC=3VW,ᚁ⚔ᨵÁᩚBC,Áᩚ⚔BDAᨵ)ᩩÃÄcÅ./AB=10ÆᑣÁᩚBCḄ&J35⚓/M52⚓

35A.5ÆB.6ÆC.8ÆD.(3+75)Æூnopᫀ௃AூsN௃t⚪ᑖ᪆!᪷CD!AD=1:2,AC=3j^Æv!CD=3ÆAD=6Æ᪷AB=10ÆND=90஺v!BD=È᜛=8Æ,ᑣBC=BD-CD=8—3=5Æ.ὃ!$ÊḄxyzᳮ7.᝞#ËIÊ஺஺ḄᑁÍËIÊ஺஺ḄÎ%&2,48=135஺ᑣÏZCḄ+&ᐔᐔC.——D.2ூnopᫀ௃Bூᑖ᪆௃᪷Ï+ÐP/=——3◤ᐜozÏ/CᡠRḄᙊN40CḄᦪÓ᪷ÔÏᡠ180RḄᙊᙊᕜḄ2Öᑮ᪷ᙊᑁÍËIÊR×⊡Ù/஺=180஺)NB=45஺,ÓÚᐭÏ+ÐPNᓽv.ூsN௃N!•••ËIÊ488஺஺ḄᑁÍËIÊ./஺=180°-/8=45°,.,.ÏZCᡠRᙊḄᦪ&!2x45°=90°,஺0ḄÎ%&2,90x24.•.Ï/CḄ+&!/=Ý------=ᐔ3180180J36⚓/M52⚓

36ᦑ⌱B.njrr¸⚪ὃÞßÏ+ḄàábQᙊᕜzᳮNp¸⚪ḄᐵâãäÏ+ÐP/=——1808.᝞#:;ᙠ0O0åÎ%ᚖç&஺⌕VËIÊ஺/C8&éÊ,ê◤⌕ëì)íᩩîïíᩩîvb.A.AD=BDB.OD=CDC.NCAD=2CBDD.ZOCA=ZOCB.ூnopᫀ௃BூsN௃t⚪ᑖ᪆!᪷ᚖ%zᳮv;/Óì(஺஺=8,ᑣËIÊOZC8ðçR×cñᑖvᑨz&ñóËIÊÓ:;ᩩîOC_LN8,ᑣðçR×cᚖ$ḄñóËIÊéÊᦑ⌱⚗Bôᔠ⚪ö.ὃ!1.ᚖ%zᳮ2.éÊḄᑨz.9.:;¢£ᦪy=x2+bx+3᝞#ᡠ÷jkᦪy=x2+b-1
x+3Ḅ#§vøJ37⚓/M52⚓

37ூnopᫀ௃CூsN௃!ᦪy=x?+(/?-l)x+3Ḅo=l>0,ù(0,3),.•.ᦪḄ#§ª«ᔣ()zù(0,3),ᦑ⌱⚗A.D┯ºú¢£ᦪy=—+û+3Ḅ#§:;RSEᙠyE®ᦑv;*0,ᡠb-h-\<ᱥy=x2+(/>-l)x+3ḄRSE&x=--—>0,ᓽRSEÝᙠyEḄ®ᦑ⌱⚗B┯º⌱⚗Cnoᦑ⌱C.10.᝞#AᙠÎ%&2Ḅ(ùüOA(Ḅ)Pý$1,D஺஺ùAḄᑗ,-B,CNAPB=60஺uOP=x,ᑣ4PABḄ☢5yᐵ-xḄᦪ#þᜧÿ()38⚓/52⚓

38ூᫀ௃Dூ௃⚪Ḅᦪ┦ᦪḄᦪ.ᑭᵨAB#஺0%ᑗ4BAP'()'(Ḅ'*⊤,-ᩭ/0ᵨ⊤,-(Ḅ☢2᪷4ᦪ᪆6ᦪḄ7VAB#஺O%ᑗ8ZBAP=90°,VOP=x,AP=2-x,ZBPA=60°,.•.AB=VJ(2-x),/7.,.9APBḄ☢2y=^(2-x)2,(0

398)1,2
Yᐭᦪ6[2=l+6-c,ᓽb-c=l.ᦑᫀU1.]⚪ὃ^_8`ᦪ

40ᦑᫀ71.8.14.᝞=ᱥ?y=f+2x-lᔣa”(0,3),ᡠ[=ᱥ?Ḅ⊤6ூᫀ௃y^x2+2x+3ூ௃O⚪᪆7Ḅ=ᱥ?᪆6Uy=x2+2x-l+b,)A(0,3)Yᐭ[3=l+b,[b=4,ᑣ¡ᦪ᪆6Uy=x2+2x+3.ὃ78`ᦪ#¢£¤ᣚ.15.᝞¦SU8Ḅ'§¨AC=?6,BC=\,cos/4Ḅூ௃ீABOḄ'§AZACB=90%•'-AB=7^C2+5C2=3,VCD1AB,.,•ªAD=MAC,AZABD=ZABC,BC1cosZABD=cosZABC==-3AB3ᦑᫀUb.341⚓/52⚓

4116.᝞AஹBஹCᙠ'§U26Ḅ00aZBAC=45°,ᑣJ▢Ḅ☢2;.J®ᶇᐔ.42ூ௃7±²OB,OC,VZBAC=45O,/.ZBOC=90°,Ḅ'§U2³.\OB=OC=V3.33ᦑᫀUbᐔ.42ூᨒ௃µ¶_ᙊᕜḄឋºᡧ(Ḅ☢2#'(☢2[cG¼.]⚪½s¾ᨵᜧ⚪ḄᐵeÁÂᦪ(ÃÄḄÅᵨ.17.᝞4ABCU*(AB=6,0ᙠ4ABCḄ*a/A-yÆA—C—B—AḄu?ᒴrµbᕜrsU1ÇᓫFÉs/ÊnOUᙊËஹ6U̧ḄᙊᙠµÍJ#9ABCḄ*8`%ᑗq-y542⚓/52⚓

42A.2ÊB.4ÊC.8ÊD.10Êூᫀ௃Bூ௃O⚪ᑖ᪆7᪷4⚪ÂᑣOD_LBC;D,ᑣᙠRtZ\O'CDJZC=60°,O'D=6..O'C=2,.".O'A=6-2=4,•••nOUᙊËஹGU̧ḄᙊᙠµÍJ#AABCḄ*8`%ᑗq-y4Ê.ᦑ⌱B.ὃ71.'?#ᙊḄFäᐵåæ2.*(Ḅឋº.18.᝞l;xèḄ'?4Cᑖéêᦪ%=£(X20)#î=᝕஺20)Ḅ;BஹCðCyèḄl?êòḄ;஺'?DE஻/C,êõḄ;E,ᑣDE~AB~----------43⚓/52⚓

43ூᫀ௃3-V3ூᑖ᪆௃4ᙶ᪗U0,a,ᑭᵨðÇᦪ᪆6c-5ஹCḄᙶ᪗ᯠc-ḄÉsý᪷4CD஻yèᑭᵨwḄ᪆6c-஺Ḅᙶ᪗ᯠᑭᵨᡝ
EḄᙶ᪗ᑮ஺EḄᯠ
ᓽ.ூ௃4ᙶ᪗0,a5,a>0$,ᑣx2=a,)3Bᔣa5,x2+=a33ᑣx=y/3a3CX,a$,CD஻01.•.஺Ḅ3ᙶ᪗4஺Ḅ3ᙶ᪗56ᢈ•,.yi=■x/Sa$.3a.•.஺Ḅᙶ᪗X,3a$,'.DE//AC,...EḄ=ᙶ᪗3a,••—=3ci,3•'•x=33.,.EḄᙶ᪗3J$,3a$,DE=3y[a-yj3a>.DE_-ᡣ_3£"IF"-^—+—,ᦑ3-5I⚪KLMNᦪPᔠ⚪RS⌕ᑭᵨWLMNᦪXYZḄᙶ᪗ᱯ\᪷^_`aX1ḄḄ=ᙶ᪗56_`ay1ḄḄ3ᙶ᪗56
ᵨ/Ḅ=ᙶ᪗⊤d
ᔜḄᙶ᪗K⚪Ḅᐵg.h44⚓/j52⚓

44kஹm⚪n58ᑖ)19.qr᝞X00Ḅtu3,vABḄ4.si"AḄ.ூwxmᫀ௃z3ூ௃{⚪ᑖ᪆{⚪᪆}஺~OC_LAB,ᚖC,ᑣᨵAC=BC.TAB=4,AC=2.ᙠA0COC=,0/2_02=,32—22=ᨵ..A_OC&••sinA-------=.0A320.qrLMNᦪy=a(x—h)2+k(aW0)ḄXYx=lNᦪᨵᨬ+1.(1)LMNᦪḄ⊤
XY(2)ᑭᵨXYᩩᱥḄᔣ,⚔ᙶ᪗,1K3yWO.ூwxmᫀ௃(1)X¡᪆(2)Z(1,-1)x=l0WxW2ூ௃{⚪ᑖ᪆(1)ᵫax=lNᦪᨵᨬ-1,ᑣ⚔y=a(x+2)J2,£¤ᙶ᪗¥ᐭ
aᓽᯠᑭᵨ§¨ᱥ(2)᪷^ᱥḄឋªx«ᱥ⚔ᙶ᪗¬1®ᓽ.{⚪᪆(1)x=lNᦪᨵᨬ+1,LMNᦪḄ⊤y=a(x—1)2—1h45⚓/j52⚓

45LMNᦪḄXY/•(0—l)2,a—1=0..,.a—1..,.LMNᦪḄ⊤y=(x—I)2—1.Nᦪ᝞Xᡠd(2)±,(1,-1),x=l,0

46᪷^ᑁ┯Â5ÃË_`ᓽ¸ÌCBHPD:(2)ᐜᵫᚖu«ᳮÎᙊᕜ«ᳮ
NBOC=2NP8C=45஺£᪷^Ï⊡«Ñ
ZAOC=\35°,ᯠ᪷^¼ḄÒÓÔᓽ
»¼ZCḄ.ூÕ1௃,:_PBC=4D,NPBC=NC,..ZC=ZD,..CB//PDூÕ2௃Ö×OC,0D.•.78K00ḄuvC£)J_Z8aE,-BC=BD>'.ZPBC=ZC=22.5°,..NBOC=NBOD=2NC=45°,N/OC=I80°-N3OC=135°,135x^-x23%»¼4CḄ:180TI⚪ὃÙWᙊᕜ«ᳮ_`Ḅᑨ«ᚖu«ᳮ¼ḄÒÓÛ〉wxÝÞឋªKmß⚪Ḅᐵg.22.᝞Xᙢ☢ZḄAâ+ãᚁZḄᵯᩚPQ,çᩚ⚔èPḄéÂK45஺ᔣêë6mᑮBçᩚ⚔èP¬ᩚìèQḄéÂᑖíK60஺¬30஺.h47⚓/j52⚓

47p(1)NBPQḄᦪ(2)ðᵯᩚPQḄñ(òóᑮ1m).ᜓᵨᦪ^73«1.7-V2«1.4ூwxmᫀ௃(1)30°(2)9m.ூᑖ᪆௃(1)ûPQüABaE,᪷^ÂkÂË┦Âÿ
ᓽ(2)PE=xᙠ4APE4BPE᪷ᦪᑭᵨx⊤!AEBE,᪷AB=AE-BEᓽᑡ!%&
xḄ()ᙠaBQEᑭᵨᦪ
QEḄ,ᑣPQḄ,.ᓽ
/.ூ2/௃/45,PQ67AB89E,(1)ZBPQ=900-60o=30°(2)PE=x.ᙠ4APENA=45஺,ᑣAE=PE=xNPBE=60°ZBPE=30°ᙠ4BPEBE=—PE=—xX.33VAB=AE-BE=6ᑣx-X^x=6,3/4x=9+3K.L48⚓/P52⚓

48ᑣBE=373+3
.ᙠaBEQQE=—BE=—3Q+3
=3+73R.33.PQ=PE-QE=9+36-3+6R=6+26S9TR.U4ᵯ7ᩚPQḄX.Y9.Z⚪ὃ]/^Ḅ_ᵨ-`ab⚪.23.᝞dABe஺஺ḄfBCg஺0Ḅᑗ7Dg஺0iḄj9CD=CB,5,CD6BAḄ5,789E.1

k4CDg஺0Ḅᑗ72

k4ZC=2ZDBE.3
lEA=A0=2,
d▢noᑖḄ☢r.TstuᶇᐔRூxyUᫀ௃T1
k{|/᪆T2
k{|/᪆T3
±ᐔ-63ூᑖ᪆௃T1R~0D,ᵫBCe஺0Ḅᑗ7NABC=90஺ᵫCD=CB,0B=0D,᧕kZODC=ZABC=90°,ᓽkCDg00Ḅᑗ72
ᙠRtZ\OBFZABD=30°,0F=l,
BDḄ,NB0DḄ.ᦪᵫ5▢n=5ᵨᩝBOD-SABODᓽ
Uᫀ.ூ2/௃T1
k{4~0D,L49⚓/P52⚓

494BCe00Ḅᑗ7,.NABC=90஺VCD=CB,AZCBD=ZCDB,VOB=OD,/.Z0BD=Z0DB,Z0DC=ZABC=90°,ᓽ0D_LCD,:9Dᙠ஺஺i.,.CDg00Ḅᑗ7.(2)᝞dZDOE=ZODB+ZOBD=2ZDBE,ᵫ(1)4ODJ_EC89D,ZE+ZC=ZE+ZDOE=90°,.\ZC=ZD0E=2ZDBE.(3)OFLDB89F,~AD,ᵫEA=AO4ADeRtZ\ODEḄ7,AD=AO=OD,ZDOA=60°,ZOBD=30°,40B=A0=2,0F1BD,AOF=1,BF=%BD=2BF=2ᡃZBOD=180°-ZDOA=120°,<120^x22]w4••ஹ▢n—ஹᡧ^BOD-ஹ.ABOD=------------------xZ75x1=—71—36023224.᝞dᱥ7ax?+bx+c(a,0)Ḅ⚔9ᙶ᪗g(4,--),y689C(0,2),x68A,B9(9Aᙠ9BḄ).(I)
ᱥ7Ḅ/᪆A,B9Ḅᙶ᪗(2)ᙠ(1)ᱥ7Ḅ1ieᔲᙠj9P,AP+CPḄ(ᨬ¡¢lᙠ
AP+CPL50⚓/P52⚓

50Ḅᨬ¡(l£ᨵᙠ¥¦{ᳮᵫ(3)ᙠ¨ABgfḄ஺Mªᑗ89E,CE6x89D,
7CEḄ/᪆.,2ூxyUᫀ௃/4(1)ᵫ⚪ᱥ7Ḅ/᪆gy=a(x-4)--§(a0)217•ᱥ7(0,2)/.a(O-4)jj=2,/4a=-.361214³ᱥ7Ḅ/᪆gy=7(x—4)?jj´ᓽ4y=-x2jjx+2.636314µy=0¶-X2--X+2=0,/4x=2ᡈx=6.AA(2,0),B(6,0).(2)ᙠ.᝞d1,ᵫ(1)4ᱥ7Ḅ1gx=4,¸gAஹB9ᐵ81~CB6189P,ᑣAP=BP,ᡠ¨AP+CP=BCḄ(ᨬ¡.VB(6,0),C(0,2),..OB=6,OC=2.BC=2V10./.AP+CP=BC=2V10.AAP+CPḄᨬ¡(g2JI஺.(3)᝞d2,~ME,L51⚓/P52⚓

514CEe஺MḄᑗ7AMEICE,ZCEM=90°.ᵫ⚪0C=ME=2,ZODC=ZMDE,ZCOA-ZDEM:ᙠ½CODAMED--ODC=_'iDE,OC=ME.,.½COD^AMED(AAS)..OD=DE,DC=DM.OD=x,ᑣCD=DM=OM-OD=4-x,¡3;ᙠRtZ^CODOD2+OC2=CD2,/³*".£jᾙÃ/x=^.3D(—,0).27CEḄ/᪆gy=kx+b,3••7CEÄC(0,2),D(-,0)92Å…C4_.1j&:=42'=Éᖝi=——ᑣË/4:3.Ì2s3.=£7CEḄ/᪆gv-■3ூ2/௃Í⚪ᑖ᪆4(1)ᑭᵨ⚔9
³ÎᦪḄ/᪆ϵᐸÑ80Ï
xḄ(ᓽgx69ᙶ᪗ḄÒᙶ᪗.(2)᪷ḄឋÔ7ÕBCḄ,ᓽgAP+CPḄᨬ¡(.(3)~ME,᪷CEe஺MḄᑗ7ᑮME1CE,ZCEM=90°,×Øk½COD^^MED,OD=x,ᙠRtZ\CODᑭᵨÙÚÛᳮ
xḄ(ᓽ
9DḄᙶ᪗ᯠÏᑭᵨÝÛÞᦪßyÛ7ÕCEḄ/᪆ᓽ.L52⚓/P52⚓