2022-2023学年广东省汕头市中考数学专项突破仿真模拟卷（一模二模）含解析

《2022-2023学年广东省汕头市中考数学专项突破仿真模拟卷（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
ḕᜮὃᦪ⚗ẚᔁஹ⌱⌱ᐳ15⚪⚪3ᑖᑖ45ᑖ1.-1ḄA.-1B.1C.0D.±12.᝞ᙠ஺ABCDAD=8,"E,Fᑖ%AB,ACḄ"ᑣEF'(4.᝞*+,-./Ḅ+᜜1230஺456+,-./Ḅ.ᦪA.6B.11C.12D.185.:ᑡ<=,>ḄA.-x3
2=x5B.-3x2
2=6x4C.-x
'2=—^D,x84-x4=x2X"6.ᙠ?:@ABCஹD⁐FGஹ⁚IஹD⁐BCJ+᪗LMNO/7.<=2x-11-2xR*,>ḄA.4X2-1B.1-4X2C.-42+4X-1D.X4X2-4X+18.:ᑡSᦪTx>0VyXxḄYᜧ[\Ḅ]1⚓/`44⚓

124A.y=—B.y=--C.y=3x+2D.y=x2-3xx/aABC0Oᑁcd1/ZBOC=80°,45NA'(A.80°B.40°C.140°D.40°ᡈ140°10.᝞f+ghiSᦪj=2ᐸl0
m”=3ᙠn▲ᑁḄnpqCimC2,"xxPᙠC1r.s/PC஺஺tC2(4B,04ḄuvwtC1("E,EF_LxM(F"xJ./3஺4yḄ☢{26,ᑣEE4஺2A.|}1B.2}y/3C.2}1D.29}14ஹ⚪ᐳ5⚪⚪3ᑖ!ᑖ15ᑖ11.PM2.5ᢣᜧ(ᡈ'(0.0000025mḄ⚩ᱥ0.0000025ᵨᦪ⊤2.12.JḄ᪷.13.᝞ᙠ00"AஹBஹCᙠ00rx/ACB=110஺ᑣNa=.14.Sᦪy=—"2-2X,TVSᦪyXxḄYᜧ[Yᜧ.15.⚪ᡠNḄᙊᕜ11”Ḅ⌮⚪.16ᑖ}ax2-9ay2-17.¡ᜮஹ£ᑐஹ¥”Ḅ¦§f¨¨V©£ᑐ”Ḅᭆ᳛.18.¬qSᦪy=2x2Ḅnᔣ¯°2+ᓫ²v³´µᑮSᦪy=2x+h
2Ḅnᑣh=#ஹ$%⚪ᐳ6⚪!ᑖ60ᑖ19.<=}-·+-?+6-n0+2cos30°.]2⚓/`44⚓

2(x1Aᐗ2I2x+120.ᓄ½}------—k-ÀÁÂ-1,0,1,2⌱Ã+ᔠ〉ḄᦪÆÇᦪḄ(x-1X-X)X'.21.ᵬஹÊfËÌÍÎÏᕒᙠÑqÒÓᔜÌÍ10Õᡂ×᝞⊤:ᵬ89798678108Ê679791087710xSJ=18,᪷ÜrÝÞßàᡂ:ᑡá⚪}(1)ᵬÎÏᕒḄᢚwä<⊡ᐙà᦮À(2)ÊÎÏᕒÌÍÒÓᡂ×Ḅèᦪ,²ᦪ.(3)ÆᵬÎÏᕒÌÍᡂ×ḄᙳᦪmêÁᑨìᵬஹÊfíîqÌÍᡂ×Ḅïðឋ.k22.ghiSᦪy=-Sᦪy=x+2Ḅnt("A(-3,m).X(1)ÆghiSᦪḄ᪆À(2)᝞*"MḄõஹöᙶ᪗øùᨵᜧ(3Ḅ,᦮ᦪÆ"MᙠghiSᦪnrḄᭆ᳛.23.᝞ᙠ,/Z8CZ)"£("8ஹCùᨵýᔠ)BC,wþEZÿE
┐90஺ᑮEF,F8cḄᚖBCḄG,CF.(1)ABE//XEGF(2)AB=2,BE."3⚓/&44⚓

324.(ᖪ*+ᵨ11000ᐗ./(0123ᘤ5/6789:;7ᖪ<=ᵨ24000ᐗ">+./?03ᘤ57ᡠ./ᦪBC+Ḅ2D7EᓫGHI10ᐗ.(1)Jᖪ<+./3ᘤ5KLMN(2)Oᡠᨵ3ᘤ5QᢥS?Ḅ᪗G7⌕ᐰWXYḄᑭ[᳛]ᨵ^20%(]ᨵὃ⇋ᐸcde),ghiM3ᘤ5Ḅ᪗GjLCKLᐗN25.᝞m7ᙠAABCq7ZC=90°,NBACḄvᑖBCD,DE_LAD,ABE,AE{0OḄ}~.(1)ᑨBC஺OḄᐵ7Ḅ(2)ABDsaDBE(3)Oco=^—.AE=4,CD.326.᝞m7v☢}ᙶ᪗q7O{ABCDḄ7C(2,0),D(0,-1),N{(1)C{⚔7DḄᱥ¢᪆¤(2)¥NᐵBDḄ{Ni,NᐵBCḄ{N2,Z^NiBN2sZSABC(3)(2)qN1N2Ḅᨬ©ª(4)Ny¬Ḅv6(1)qḄᱥP,Q{}AB¯Ḅ:M°7ZPQA=ZBAC,±PQᨬ©Qᙶ᪗."4⚓/&44⚓

42022-2023
ḕᜮὃᦪ⚗ẚᔁ:ஹ⌱:⌱´ᐳ15©⚪7i©⚪3ᑖ7·ᑖ45ᑖ¸1.-1ḄªC´¸A.-1B.1C.0D.±1ூ»¼½ᫀ௃BூÀ¢௃Á⚪ᑖ᪆᪷ûᦪḄªCÄÅ70Ḅª{0,ÆᦪḄªCᐸSÇᦪ.ÈÉ-1ḄªÊᐸSÇᦪ1,ᦑ⌱B.ὃª2.᝞m7ᙠ஺ABCDq7AD=8,E,FᑖÍCAB,ACḄq7ᑣEFÊ´¸A.2B.3C.4D.5ூ»¼½ᫀ௃Cூᑖ᪆௃ᑭᵨv6ÏÐឋÒÉᑮBCÓ7ᯠÕÖᑭᵨq×ᳮÉᑮEFூÀ¢௃ᙠÙABCDq7AD=8,Éjl]BC=8,d{E,FᑖÍCAB,ACḄq7ᡠEF{AABCḄq7EF=-SC=4,ᦑ⌱C2Ä⚪Ü⌕ὃÝv6ÏÐឋÒÞq×ᳮ7ßàᓫ⚪3.áâ´ߟ¸°:"=´35A.-1B.---C.-2D.---22ூ»¼½ᫀ௃AூÀ¢௃Á⚪ᑖ᪆å¤=1-2=-1,ᦑ⌱A.ὃâævç᪷èᢣᦪê."5⚓/&44⚓

54.᝞ë:M»KÐḄ:M᜜{30஺7ghíM»KÐḄÐᦪC´¸A6B.11C.12D.18ூ»¼½ᫀ௃CூÀ¢௃Á⚪ᑖ᪆íM»KÐḄÐᦪ360஺+30஺=12,ᦑ⌱C.ὃKÐᑁ᜜.5.ðᑡá⻼ḄC´¸A.´-X3¸óx5B.´-3x2¸C.´-X¸Q=-VD.X^-rX^X2x~ூ»¼½ᫀ௃cூÀ¢௃᪷Ã÷Ḅøç7È-x3óx6,ᦑ]ᨵ»¼´-3x2¸2=9x3ᦑ]ᨵ»¼᪷ÃÆ1_1᦮ᢣᦪúḄឋÒ7È´-Xᦑ»¼᪷Ã?ûᦪúS◀7Èx8+x4=x4,(-X)2X2ᦑ]ᨵ»¼.ᦑ⌱C.6.ᙠðýþÿஹ⁐ஹ⁚ஹ⁐᪗)A@B@D@ூᫀ௃Bூᑖ᪆௃᪷#Ḅᭆ&᝞()*Ḽ)ᩩ-.ᢚ012ᑖ3ᐰ5ᔠ7᪵Ḅ9:7ᩩ-.9:.ூ<=௃Aஹ>ᨵ>ᨵ@ᔠ⚪BCBஹ@ᔠ⚪BCCஹ>ᨵ>ᨵ@ᔠ⚪BCDஹ>ᨵ>ᨵ@ᔠ⚪B.ᦑ⌱GB.H⚪ὃJKLMḄᐵOPQ12ᑖᢚR0S5ᔠ.7.UVW2x-1\W1-2x\](ḄW^6⚓/b44⚓

6A.4X2-1B.1-4X2C.-42+4X-1D.X4x2-4x+lூᫀ௃Cூ<=௃g⚪ᑖ᪆Ghi=—W2x—1\2=-4/+4l)1ᦑ⌱c.ὃnG3ᐰopqi.8.sᑡuᦪwx>0zy|xḄ}ᜧḄW\24,A.y=—B.y=--C.y=3x+2D.y=x2-3xxூᫀ௃Aூ<=௃g⚪ᑖ᪆G♦.ᙠ▲ᑁy|xḄ}ᜧCBஹ...ᙠ^▲ᑁy|xḄ}ᜧ}ᜧCCஹG᝕ு஺y|ḼxḄ}ᜧ}ᜧGDஹG*2-3,...x=0,wᙠy|ḼxḄ}ᜧ}ᜧCᙠ,y|ḼxḄ}ᜧ.ᦑ⌱A.ὃnG1.uᦪḄឋC2.uᦪḄឋC3.uᦪḄឋ.9.Z^ABC0OᑁZBOC=80°,/A¡¢W\A.80°B.40°C.140°D.40°ᡈ140°ூᫀ௃Dூ<=௃g⚪ᑖ᪆G¤¥nASᙠ¦§BC¨©Sᙠª§BC¨ᑣ᪷#ᙊᕜ®ᳮ°ᑖ¥1±²³GwnAᙠ¦§BC¨zZBAC=40°CwnAᙠª§BC¨zZBAC=140°CᡠµNBACḄᜧ¥40஺ᡈ140°.ᦑ⌱D.ὃnGᙊᕜ®ᳮk310.᝞1uᦪ·=’Wᐸº>0\»”=—ᙠ▲ᑁḄ½஺»C2,nXXPᙠC1¨.¿PC஺஺ÀC2¢431nḄÁÂ.ÀG¢nE,¢FnÆ^7⚓/b44⚓

7Ç8஺/Ḅ☢É¥6,ÊACW)B.2GÌC.2G1D.29G14ூᫀ௃Aூ<=௃g⚪ᑖ᪆G✌ᐜ᪷#uᦪÏ2=ÐḄ=᪆iSÑᑮS.ODB=SQAC=CX3=2,Óᵫx22▢Ö2ᑖ☢É¥6SÑᑮS¿PDOC=9,ØÑᑮCIḄuᦪᐵÙi¥y=£,ÓVÛAEOFxḄ☢ÉSµÑᑮÜAOCÝaEOFḄ☢Éᯠ0àáÜEOFsaAOC,᪷#°ÇС¢☢ÉḄopSÑᑮEF:AC=V3.ᦑ⌱A.ὃnGuᦪÙᦪkḄæçBèஹ⚪ᐳ5⚪⚪3ᑖ!ᑖ15ᑖ11.PM2.5ᢣᜧì-í¢ᡈ¡¢0.0000025mḄ⚩ðᱥò0.0000025ᵨôõöᦪ÷⊤ù¥.ூᫀ௃2.5x10-6ூᑖ᪆௃ú¢1Ḅᦪ©Sµᑭᵨôõöᦪ÷⊤ù)üi¥axlWr,ÝþᜧᦪḄôõöᦪ÷>ᨵÿḄ
ᐸᡠᵨḄ
ᢣᦪᢣᦪᵫᦪᨵḄᦪ☢Ḅ0Ḅᦪᡠ.ூ௃0.0000025=2.5xl0-6,ᦑ)ᫀ+2.5x10-6.-⚪ὃ01ᵨ234ᦪ5⊤789Ḅᦪ:;<=axlOlᐸ@nᵫᦪᨵḄᦪ☢Ḅ0Ḅᦪᡠ.12.J☢ḄDE᪷
.ூGH)ᫀ௃±2J8⚓/N44⚓

8ூ௃+P=44ḄDE᪷
±2.ᦑ)ᫀ±2.13.᝞Rᙠ஺஺@UAஹBஹCᙠ஺OWXNACB=110஺ᑣNa=ூGH)ᫀ௃140°.ூᑖ᪆௃\]ᡠ^ḄᙊᕜaNADB,᝞Rᑭᵨᙊᑁde<ḄឋghNADB=70஺ᯠj᪷kᙊᕜaᳮm.ூ௃\ᡠ^Ḅᙊᕜa/ADB,᝞RVZACB+ZADB=180°,.,.ZADB=180°-110o=70°,AZAOB=2ZADB=140°.ᦑ)ᫀ140°.-⚪ὃ01ᙊᕜaᳮ+ᙠnᙊᡈpᙊ@nqᡈpqᡠ^Ḅᙊᕜarpsptuᩩqᡠ^ḄᙊwaḄ:x.14.yz{ᦪy=—/—2x,|____~{ᦪyxḄᜧᜧ.ூGH)ᫀ௃x<-1.ூ௃⚪ᑖ᪆+••)=—2—2x=—(X+1A+1,a=-1<0,ᱥᔣ^x=-1,...|-1~yxḄᜧᜧᦑ)ᫀ-1.ὃU+{ᦪḄឋg.J9⚓/N44⚓

915.⚪“ᡠ^Ḅᙊᕜa
a”Ḅ⌮⚪
.ூGH)ᫀ௃90஺ᙊᕜaᡠ^Ḅ
.ூ௃⚪ᑖ᪆+⚪“ᡠ^Ḅᙊᕜa
a”Ḅ⌮⚪
90஺ᙊᕜaᡠ^Ḅ
ᦑ)ᫀ90஺ᙊᕜaᡠ^Ḅ
.ὃU+⚪ᳮ.16.ᑖ=+ax1-9ay2=.ூGH)ᫀ௃a(x+3yXx-3ூ௃⚪ᑖ᪆+᪷k=ᑖḄE5ᐜ¡¢=£᪷kDE¤¢=ᑖW.ax2-9¥2=o(x+3y)(x-3y)ὃU+=ᑖ17.9¦9§:¨“©ᜮஹ«ᑐஹ”Ḅ®¯°n3n~±“«ᑐ”Ḅᭆ᳛
.ூGH)ᫀ௃-9ூ௃+´᪛¶Rh+./0ᜮ1230ᜮ1230ᜮ1230ᜮ123;ᐳᨵ9¹pº»Ḅ¼½°n3n~±“«ᑐ”Ḅᨵ1¹¾¿°n3n~±“«ᑐ”Ḅᭆ᳛
+9ᦑL9-⚪ὃ0ᵨᑡ⊤5ᡈ´᪛¶R5mᭆ᳛.18.Á{ᦪy=2x2ḄRÂᔣDÃ2ᓫÅÆÇjhᑮ{ᦪy=2(x+h)2ḄRÂᑣh=ூGH)ᫀ௃2.ூ௃d᪷k“WÉÊÉËÊ”ḄᑣÌÍ).J10⚓/N44⚓

10+{ᦪ1=22ḄRÂᔣDÃ2ᓫÅÆÇhᑮy=2(x+2Ðᓽh=2,ᦑ)ᫀ2.“UÓ”-⚪ὃ0Ḅ
{ᦪḄRÂÔÕÖᣚØz{ᦪRÂDÃḄ5ᑣ
)Ù⚪ḄᐵÛ.ὃU+{ᦪRÂÔÕÖᣚ.#ஹ$%⚪(ᐳ6⚪!ᑖ60ᑖ)19.ÝÞ+-12+(-y)-2+(73-)°+2cos300.ூGH)ᫀ௃4+6ூᑖ᪆௃᪷kåEḄæç᦮ᢣᦪéḄឋgêḄឋgëaḄ┦aía{ᦪmᓽº.ூ௃+-1+(-y)"+(5/3-n)"+2cos30°=-l+4+l+2XV32=4+73UÓ+(1)Ù⚪]ὃ01ᢣᦪñḄòÞ⌕Øôõö)Ù⚪ḄᐵÛ
⌕§H+জa°=l(aW0)ùঝᔢ1.(2)Ù⚪]ὃ01᦮ᦪᢣᦪñḄòÞ⌕Øôõö)Ù⚪ḄᐵÛ
⌕§H+জ(aᐵ0,pG᦮ᦪ)ùঝÝÞ᦮ᦪᢣᦪñ~:⌕᪷k᦮ᦪᢣᦪêapḄæçÝÞùঞ|þᦪ
ᑖᦪ~ÿ⌕
ᑖஹᑖ᎔ᢣᦪᢣᦪ.(3)⚪ὃḄᦪ⌕ᱞ!30°ஹ45°ஹ60°Ḅᔜ(ᦪ.(x]\x~+2x+120.ᓄ/0-------z—+——.456-1஺128⌱:4;ᔠ〉Ḅᦪ>?ᦪ@Ḅ(x-1X-x)X.x7ூCDᫀ௃G4H2IJ@=L.x+13ூᑖ᪆௃J@NO8P⚗Rᑖ5ᑭᵨUᑖᑖ@ḄVWWᑣYZUIᑭᵨ◀WWᑣ\]ᑖ^ᑮᨬ/ab
H2?ᐭYZᓽ>e.ூfg௃g0[———iyj(41X~-X)Xk11⚓/n44⚓

11x211(x+1)2=----------------------—x(x-l)x(x-l)JXx2-lX2tx(x-l)(x+1)2(x+l)(x-l)X2X(x-1)(x+1)2Xx+1ᵫ⚪pqxWO,±12vH2IJ@=§.x⚪ὃᑖ@Ḅᓄ/>yᑖ@ᡂ{Ḅᩩ}.21.ᵬஹPᕒᙠ8ᔜ10ᡂ᝞⊤:ᵬ89798678108679791087710S4Ll.g,᪷ᡂᑡ⚪0(1)¡ᵬᕒḄᢚ£¤Y¥⊡ᐙ᦮L(2)ᕒᡂḄ©ᦪª,8«ᦪª.(3)>ᵬᕒᡂḄ¬ᙳᦪ®¯°5ᑨ²ᵬஹP³xᡂḄ´µឋ.ூCDᫀ௃জ.7ঝ.7.5ூfg௃¹⚪ᑖ᪆0(1)᪷⊤º8Ḅᦪ»¡ᢚ£¤Y¥⊡ᐙ᦮L(2)᪷⊤º8Ḅᦪ»^ᑮᕒᡂḄ©ᦪ®8«ᦪL(3)᪷⊤º8Ḅᦪ»YZeᵬᕒᡂḄ¬ᙳᦪ®¯°᪷ᵬP³Ḅ¯°»^ᑮ¼Ḅ´µឋ½.k12⚓/n44⚓

12¹⚪g᪆0(1)ᵫ⊤º8Ḅᦪ»¡ᢚ£¤Y¥⊡ᐙᡂ᝞¥ᡠ¿,(2)¡Ḅᡂᢥ᯿6Âᑮᜧ᣸ᑡª06,7,7,7,7,8,9,9,10,10,7+XᦑᕒᡂḄ©ᦪª7,8«ᦪª0——=7.5,2ᦑDᫀ7,7.5L(3)ᵫ⊤º^—8+9+7+9+8+6+7+8+10+8/=105,,2=^[(8-8)2+(9-8)2+(7-8)2+(9-8)2+(8-8)2+(6-8)2+(7-8)2+(8-8)2+(10-8)2+(8-8)2]1=1.2,V1.5<1.8,••ᵬxᡂḄ´µឋ½ᓽᵬᕒᡂḄ¬ᙳᦪª8,¯°ª1.2,ᵬxᡂḄ´µឋ½.22.ÌqÍÎÏᦪÐ="Òᦪy=x+2Ḅ¥ÔÕÖ×A(-3,m).x(1)>ÍÎÏᦪḄg᪆@L(2)᝞b×MḄÛஹÜᙶ᪗ߪàᨵᜧÖ3Ḅ᦮ᦪ>×MᙠÍÎÏᦪ¥ÔḄᭆ᳛.32ூCDᫀ௃(1)y——(2)—.x9ூfg௃¹⚪ᑖ᪆0(1)✌ᐜ¡×AḄᙶ᪗?ᐭᦪḄg᪆@>^mḄ6æCµ×AḄᙶ᪗?ᐭÍÎÏᦪḄg᪆@>^kᓽL(2)᪷×MḄÛÜᙶ᪗ᙳàᨵᜧÖ3Ḅ᦮ᦪCµᡠᨵ×MḄèᯠêëᑮᙠÍÎÏᦪḄ¥ÔḄ×Ḅ;ᦪᑭᵨᭆ᳛ì@>gᓽ.¹⚪g᪆0(1):ÍÎÏᦪNÒᦪy=x+2Ḅ¥ÔÕÖ×A(-3,m),-3+2=m=-Xk13⚓/n44⚓

1331,...×AḄᙶ᪗(-3,-1),L.k=-3x(-I)=3,...ÍÎÏᦪḄg᪆@y=4Lx(2)1•×MḄÛஹÜᙶ᪗ߪàᨵᜧÖ3Ḅ᦮ᦪ.•.×MḄᙶ᪗è0(1,1)ஹ(1,2)ஹ(1,3)ஹ(2,1)ஹ(2,2)ஹ(2,3)ஹ(3,1)ஹ(3,2)ஹ(3,3),0ᙠÍÎÏᦪḄ¥ÔḄᨵ2(1,3)®(3,1)P;××MᙠÍÎÏᦪ¥ÔḄᭆ᳛ὃ×0ÍÎÏᦪÒᦪḄÕ×⚪Lᑡ⊤WÒ᪛ð¥W.23.᝞¥ᙠ¯\4888×£(Ò×8ஹCàᨵóᔠ)ª8cõ4ס£ö÷ø×EùI┐ûü90஺ᑮEF,ý×FþBCḄᚖ
BCḄG,CF.(1)AABEAEGF(2)
AB=2,SA/B£=2SA£CF,BE.ூᫀ௃(1)!᪆#(2)1.ூᑖ᪆௃(1)᪷()*Ḅ+*,-.ᑮ01*,-23ᵫ015*,-24E=EF,ᑭᵨ44s.ᑮ:*;ᨴ8E?:*;EFGᐰ-#(2)ᑭᵨᐰ-:*;ḄឋB.C/8=EG=2,SPBFSAEGF'CSEGE2SAECF2᪷(:*;☢G.CEC=CG=1,᪷(H;ḄឋB.CBC=/B=2,ᓽJCᫀ.ூK!௃!(1)L24E,(.ZAEB+ZGEF=90°,,:ZAEB+ZBAE=90°,(.ZGEF=ZBAE,M,#FG_L8C,ZABE=ZEGF=90°,ᙠ?AEGFQ2■:NABE=NEGF,NBAE=NGEF,AE=EF,:.4ABE/\EGF(44S)#R14⚓/T44⚓

14(2)!,:XABEXEGF'AB=2,'.AB=EG=2,SAJB£=SA£GF,5AJB£=2SAECF,SEGLZS^ECF,.EC=CG=\,:VW;N8CZ)XH;2,;BC=AB=2,.BE=2-1=1.24.Yᖪ[\ᵨ11000ᐗ^_Y`abcᘤe_f2gh0i2ᖪjMᵨ24000ᐗRk\^_)`cᘤe2ᡠ^_ᦪnX\Ḅ2o2pᓫrst10ᐗ.(1)uᖪj\^_cᘤevwxy(2)zᡠᨵcᘤe|ᢥ,)Ḅ᪗r2⌕ᐰḄᑭ᳛ᨵ20%(ᨵὃ⇋ᐸ),xcᘤeḄ᪗rwXvwᐗyூᫀ௃(1)100>(2)140ᐗ.ூK!௃⚪ᑖ᪆(1)uᖪj\^_cᘤexx2᪷(“\ᵨ11000ᐗ^_Y`abcᘤe,ᵨ24000ᐗRk\^_)`cᘤe2ᡠ^_ᦪnX\Ḅ2o2pᓫrst10ᐗ”ᑡCH!#(2)xcᘤeḄ᪗rXaᐗ.᪷(“ᐰḄᑭ᳛ᨵ20%”ᑡCᨵ-!.⚪!᪆(1)uᖪj\^_cᘤexx2⚪.U3W+10=᝞2!.x=100.x2xx=100XᡠᑡHḄ!2¡¢ᔠ⚪.uᖪj\^_cᘤe100x.(2)xcᘤeḄ᪗rXaᐗ.ᑣ⚪.:(100+200)a-11000-24000>(11000+24000)ஹ20%,!.¦140.xcᘤeḄ᪗rwX140ᐗ.ὃᑖHḄ§ᵨ#0ᐗᨵ-Ḅ§ᵨ.R15⚓/T44⚓

1525.᝞¨2ᙠAABCQ2/C=90஺2NBACḄªᑖ
BCD,DE_LAD,
ABE,AE«஺OḄ5¬.(1)ᑨ®BC?஺OḄ¯°ᐵ²2³Ḅ´µ;(2)·ABDsaDBE#(3)co=2஺,AE=4,CD.3ூᫀ௃(1)BC?஺O,ᑗ#(2)!᪆(3)⌳.3ூK!௃⚪ᑖ᪆(1)´µBC?0O,ᑗ2ODº⌕OD஻ACᓽJ.(2)¼·ABDsaDBE,º⌕NBDE=/DABᓽJ.(3)ᙠRtz^ODBQ2ᵫco=——½2BD=2&k,OB=3k,ᑭᵨ¾¿ÀᳮᑡCHOB3DjT)ROCk,3ᑭᵨDO஻AC,.——=0ÃᑡCHᓽJ!ÄÅ⚪.CDAO⚪!᪆(1)´µBC?஺0,ᑗ.᝞¨OD.VOA=OD,/.ZOAD=ZODA,#ADªᑖNCAB,AZCAD=ZDAB,AZCAD=ZADO,#.AC஻OD,VAC1BC,AOD1BC,2BCX00Ḅᑗ.(2)#BCX00ᑗ22/0Æ8=90஺.,.NBDE+NODE=90஺AEX5¬2NADE=90஺,#.NDAE+NAED=90஺2#OD=OE,AZODE=ZOED,AZBDE=ZDAB,VZB=ZB,.".·ABD^ADBE.(3)ᙠRtAODBQ2,BD=2j^k,OB=3k,#OD2+BD2=OB2,#.4+8k2=9k2,#.k=2,2B0=6,BD=4Ç2DO஻AC,—=—,,.\CD=^^.7CDAOCD23R16⚓/T44⚓

16cDὃᙊḄÉᔠ⚪#ÊËÌ.26.᝞¨2ª☢5*ᙶ᪗²Q20«Ð;ABCDḄ1Ò2ÓÔC(2,0),D(0,-1),N«(1)×C«⚔2¡DḄÙᱥ!᪆#(2)NᐵBDḄ1Ò«N”NᐵBCḄ1Ò«N”·NJBN2s·ABC#(3)(2)QNN2ḄᨬÞß(4)àNáyãḄªf
(1)QḄÙᱥP,Q«5ABÃḄ0xæ2¡ZPQA=ZBAC,èPQᨬÞéQᙶ᪗.ூᫀ௃(1)y=-1(x-2)2(2)!᪆(3)—(4)--)ᡈ(ì22)45241020ூᑖ᪆௃(1)ᵨîÀ²ᦪï2ᓽJ#(2)ᵫ1ÒḄᱯ.C/NIBN2=2NDBCÐ;ḄឋBᓽJ(3)ᐜᑨÀC2èBNJ_CDé2BNᨬò23ᑭᵨABCS&NIBN2.ᑮóô2!2ᓽJ;(4)ᐜõöPE='m2-#m+2úᦪ!᪆2᪷(ÙᱥḄᱯÀCᨬÞß.42ூK!௃(1)ᵫûÔ2Ùᱥ!᪆«La(x-2)2ýD(0,-1)þᐭ
a=-417⚓/44⚓

17VN),N2NḄABN1=BN2=BN,NN|BD=ND,ZC=ZNBC2AZNBN2=2ZDBC1•ABCDAAB=BC,ZABC=2ZDBC.•.ZABC=ZN,BN=2>.,.ABC^AN|BN2(3):NCDḄᑮ!Ḅ"#ᚖ!%ᨬ',)*BNJ_CD+BNᨬ'.VC(2,0),D(0,-1)•••CD=BBDxCO4r-ABNmin=-------------=—v5,CD5•,BN1min=BNmin=~>^5VAABC^AN1BN2ABAC*,BNJNN'16NjN2min=~—18⚓/44⚓

18(4)᝞.2,/P0PE_Lx12AB3E.VZPQA=ZBACPQ]஻AC,ABCD5C(2,0),D(0,-1)AA(-2,0),B(0,1)•••IAB6Y=yx+17ᨵ9:P(m,--(m-2)2),ᑣE(m,ym+1)42PE=Jm2-vm+2427<*m=l+PE^=-n1ஹ(.P(1,--)4•••Qi(----»--)24PE7>+PQiᨬ?ᨬ?@A----^^1=BtanZEQP2}7PQ1=PQ2=—.2:Q2(n,yn+1)19⚓/44⚓

19**,PQl=j(஻T)2+(H஻+l+H)2=(5i31n=ᡈn=—210QRᩩTḄQ--VᡈWXXV241020>⚪)Z[ᦪ]ᔠ⚪_`ᑮḄឋbcdeᦪfgh᪆jklmnḄឋboᑨd,Ḅᱯhr⚪Ḅᐵtᑨuvwᑮ᩽@Ḅyz.2022-2023
ḕᜮὃᦪ⚗ẚᔁ20⚓/44⚓

20Bஹ⌱B⌱W|⚪3ᑖᐳ30ᑖV1.ᑡḄWVA.3a+4b=7abB.Wab3V2=ab6C.Wa+2V2=a2+4D.x12-^x5=x6A.BbBaḄ᪷B.baḄ᪷C.bBaḄ᪷D.baḄ᪷4.ᐵ3xḄBᐗ)Zx2-3"m=0ᨵ7ᨵkḄᦪ᪷ᑣᦪḄ@AWV.99099A.m>—Bn.w<—C.m=—D.---44445.ᐵ3xḄBᐗ)Zax?—x+l=Oᨵᦪ᪷ᑣ”Ḅ@WVA.—¥B.—C.—¥awOD.B44446.ᙠ§Z¨©|ª«¬ᡠᨵªᐳ«10Z:ᨵ)ª¯°±Z¨©ᑣᑡvḄWVB.^=10Ax(x-l)=10C.x(x+1)=10D.>))=107.³—=[_xᑣXḄ@()A.xiC.x<1D.x>18.᝞.ᙊ┵ºḄ»஻=26஺°½☢ᙊ¿ÀÁ=2c஻z,ᑣᙊ┵ºḄᐰ☢ÅAWcm2.21⚓/44⚓

21A.12TTB.8nC.46ÆD.W4Ç+4VTT9.᝞.ᙠNBC540oBE»NABE=45஺,Á48Ḅ5AD>FEஹ8EᑖÊ23GஹH,ZCBE=ZBAD.ᨵᑡÌÍ6জFD=FE@AH=2CDঞ8c•/஺=Ï/£2HটSA”C=4sAeF.ᐸ5ḄᨵW10.)Z[ᦪV=ax2+bx+cWar0VḄ.Ù᝞.ᡠÚᑣᑡÌÍ5ḄWV9a+c>3bஹ⚪⚪4ᑖᐳ24ᑖ11.6cos2450-tan30°sin60°=.12.³M=-1ᐵ3xḄx2+mx—5=0ḄB᪷ᑣḄßB᪷à=.13.᝞.ABCDḄáA2,AE=EB,MN=1,!%MNḄâᑖÊᙠCBஹCDãäå*CM=+4ADEæMNCkl.22⚓/44⚓

2214.çè(3,5)ᙠ!y=ax+b(a,bAêᦪ¥a#0)ᑣB9BḄ@A______.0-515.᝞.ᙠZU8C5ZC=90°,5C=16cm,ZC=12cm,Áî8vïðBCñ2cm/sḄòóᔣCõ0îCvïñ1cm/sḄòóᔣAõCஹ஺ᑖÊî8ஹCö+vï:÷+øAfs,Dt=+CP஺æAC3/kl.2216.᝞.[ᦪy=kx+bæüýþ[ᦪy=BḄ.Ùᑣᐵ3xḄkx+b=—ḄhAxxmஹhÿ⚪(⚪10ᑖᐳ30ᑖ)17.(2x+l)2=2x+l.18.᝞ᙠ488ḄBCᑮE,&CE='8C,()஺E,CF.(1)+,-./CEQᔆ23-./'(2)4/5=4,40=6,Z5=60°,+஺EḄ.19.<=>??@AB=CDEFGH@AB=CIJKLMᑖ=CN3DEOPOP)Qᑖ>ᨴB,C,஺-STBUVWOPᡂYZᑴ?᝞\]^_`ᨵb᦮Ḅde;(1)ghK᪵Ḅ᪵jkl,U⊡ᐰᩩ/'p23⚓/s44⚓

23(2)஺TB=CtᦪᓰwtᦪḄxᑖy>,ᙠᡧ/deCTBᡠ|}Ḅᙊ>°;(3)᪥@AB=Cᨵ1500teᐸATBḄ=Ctᦪ.Gஹ$%⚪(⚪10ᑖᐳ20ᑖ)20.ᡠᙠḄ|☢ᨵᜧZ8=80.>OlgᜧḄ,HḄᡝCᜐOᜧ⚔M4Ḅ>37஺ᜧM8Ḅ¡>48஺.+ᡠᙠᜧḄCOḄ£.()Q¤ᶇ᦮ᦪ)MCO''HBHHHp193m33711(¦ὃᦪWsin37°»-,tan37°«—,sin48°«—,tan48°**)21.᝞ᙠ²ZBCNC=90஺஺8C.´µ08>¶·Ḅ஺048ḄE,FADḄ¸¹()EE(1)+,Z1=ZF.(2)4si=^,EF=2G'+C஺Ḅ.p24⚓/s44⚓

24¼ஹ¾⚪(16ᑖ)k22.᝞T.aOAB¿T.4AFEḄ.ÀᙠxÁ´ÂøyÄ(k>0).0BḄC¿XAEḄD.ÅT.aOABḄ.>4.(1)+Âøᡠ⊤ÇḄÈᦪ᪆Ê'(2)+T.4AEFḄ..23.ᙠ2☢¶ᙶ᪗Í0>ÎA(8,0),B(0,6),ÏAABOÐB⌮Ò┐ÔÕ²ABOQAஹ0ÔÕÖḄ|}>A'0',×ÔÕ>a.(1)᝞1,4a=90஺ØijAB=,U+AAḄ'(2)᝞2,4a=120஺+0,Ḅᙶ᪗'(3)ᙠ(2)ḄᩩÙ\.0A´ḄPÔÕÖḄ|}>P,ÚOT+BPLᨬÜÒp25⚓/s44⚓

252022-2023
ḕᜮὃᦪ⚗ẚᔁஹ⌱⌱Þ⚪3ᑖᐳ30ᑖß1.\ᑡeáâãḄÞßA.3a+4b=7abB.ab3
2=ab6C.a+2
2=a2+4D.xl2-^-x6=x6ூâã¾ᫀ௃Dூç௃⌱⚗A,3a4b`ᨵéê⚗`ᨵEᔠUᦑ⌱⚗A┯î'⌱⚗B,ab
3=ab3ᦑ⌱⚗B┯î'⌱⚗C,a+2
2=a2+4a+4,ᦑ⌱⚗C┯î⌱⚗xAx6=xl2-6=x3âãᦑ⌱D.j⚪ὃïᔠUéê⚗'ðḄñ'bᐰ2òÊ'éᦪóḄ◀õ.2.\ᑡ/|ö/Ḅூ௃p26⚓/s44⚓

26ூᑖ᪆௃᪷W|ö/ḄᭆùÁ|ö/|ö//ú|öÔÕ180£ÖÎûᔠ,ᓽý⚪.Aஹ`ᨵ|ö/ᦑj⌱⚗┯î'Bஹ|ö/ᦑj⌱⚗âã'Cஹ`ᨵ|ö/ᦑj⌱⚗┯î'Dஹ
ᨵᦑ⌱⚗┯.ᦑ⌱B.ὃ.ூ௃ᙠᐭ3.᝞!baḄ%&᪷()*ᑡ,-./Ḅ01A.!b4!aḄ%&᪷B.baḄ%&᪷C.b!aḄ%&᪷D.7b8aḄ%&᪷ூ./9ᫀ௃Cூ௃;⚪ᑖ᪆᪷?%&᪷Ḅ@ABᵫ-baḄ%&᪷()b-aḄ%&᪷ᦑC./.ᦑ⌱C.4.ᐵGxḄ!ᐗJK&Lx2-3/O=0ᨵRS
ᨵTUḄVᦪ᪷ᑣVᦪᵨḄZ[]^0199c99A.m>—B.tn<—C.஻`=aD.---4444ூ./9ᫀ௃Bூ௃;⚪᪆•ᐵGxḄ!ᐗJK&L!!3%+஻?=0ᨵRS
ᨵTUḄVᦪ᪷/.=b2-4ac=0!3y-4x1xf>0,9m<—,4ᦑ⌱B.5.ᐵGhḄ!ᐗJK&L᝖2-1+1=0ᨵVᦪ᪷ᑣ஺ḄZ[]01l27⚓/o44⚓

2711且Qwo>-Q--A.QK—pQWOB.a<—C.a>4D.444ூ./9ᫀ௃Aூᑖ᪆௃᪷?!ᐗJK&LḄqArᑨtuḄ@Avᑮ"(-1)2-4஺{parO,ᯠRS
ᨵUuḄᐳᑖᓽB.ூ௃ᵫ⚪@BvA=/?2-4ac=(-l)2-4tz>0,a/0v஺W—paw04ᦑ⌱A.⚪ὃ!ᐗJK&L᪷Ḅᑨtu᪷Ḅᑨtu⚪Ḅᐵ.6.ᙠKR8ᡠᨵᐳ10KᨵJf¡Kᑣᑡ&L./Ḅ()A.x(x-l)=10B.KJN=10C.x(x+1)=10D."+1)=]02ூ./9ᫀ௃Bூ௃ᑖ᪆᝞ᨵxfᑣS◤⌕(x-1)Kxᐳ◤x(x-1)K¦§RS8¨⌕©ª«¬Ḅᑖ◀¯ᓽ!ᐳx.T)K;±²“ᡠ2ᨵᐳ10K”?BᑡᐵGxḄ&L.9xf¡KᑣS◤x-1(K)¦µ⚪@Bᑡ&L^x(x—l).=102ᦑ⌱B.7.¶=1ᑣXḄZ[]()A.x<\B.x>lC.x<1D.x>1ூ./9ᫀ௃Al28⚓/o44⚓

28ூ௃J0X-112=1—X/.x-l<0»•XLᦑ⌱A.8.᝞ᙊ┵¿ḄÀ&=2ÁC7»,Â☢ᙊÄÅr=2cvH,ᑣᙊ┵¿Ḅᐰ☢É^01cm2.A.12nB.8nC.4jjirD.(473+4)Ttூ./9ᫀ௃Aூᑖ᪆௃⊤☢É=Â☢É+Ð☢É=7IXÂ☢ÄÅ2+Â☢ᕜÓXÔÕÓ+2.ூ௃Â☢ᙊḄÄÅ^2,ᑣÂ☢ᕜÓ=4ᐔ,Â☢ÄÅ^2c"?ஹÀ^26᜛”.•.ᙊ┵ḄÔÕÓ^4cᑗ.•.Ð☢☢É=¦x4ᐔX4=8TTÂ☢É^=4ᐔᐰ☢É^8ᐔ+4ᐔ=1litem1.ᦑ⌱4⚪ᑭᵨᙊḄᕜÓurᡧ☢ÉuᱞÜu9⚪Ḅᐵ.9.᝞ᙠÞ/8Cß49r8EÀZABE=45°,á43ḄßAD>FEஹBEᑖLFGGஹH,NCBE=NB4D.ᨵ*ᑡ,-জFD=FEঝZH=2C஺¦ঞ8஺/஺=⊈”/¦@SAj«c=45A/fOF.ᐸß./Ḅᨵ0l29⚓/o44⚓

29AD.4Sூ./9ᫀ௃Dூᑖ᪆௃ூ௃••ᙠÞ48Cßí஺r8EÀZADB=ZAEB=ZCEB=90°,•áZ8Ḅß,1:.FD=-AB,2,:N4BE=45஺,•••ÞZ8EUῪïðñð:AE=BE,•,áZBḄß.1:FE=—AB,2(.FD=FE,জ./¦•NCBE=/BAD,ZCBE+ZC=90°,ZBAD+ZABC=90°,NABC=NC,^•AB=ACt9(ADVBC,:BC=2CD,/BAD=/CAD=/CBE,ᙠÞ4£7/rÞ8ECßNAEH=NCEB«AE=BE,NEAH=NCBE:.AEHQXBEC(ASA),l30⚓/o44⚓

30:.AH=BC=2CD,ঝ./;,:ZBAD=/CBE,/ADB=/CEB,:./\ABDNABCE,ABADHn——=——ᓽBC-AD=ABBE,BCBEVV2AE1=AB>AE=AB'BE,BOAD=ACBE=ABBE,(.BC^AD=yf2AE2ঞ./;••áZ8ḄßBD=CD,••s"BcVS"B/4S"DF'ট./.ᦑ⌱D.10.JKôᦪ^=ö2+÷:+஺0஺#01Ḅú᝞ᡠûᑣ*ᑡ,-ß./ḄVB.h>0C.2a+/?w0D.9a+cு36ூ./9ᫀ௃Dூᑖ᪆௃ᵫýᱥÕÿy
Ḅᙠ0,-1ḄᑮcV-1ᵫᱥᔣa>0,ᵫᱥḄ
ᙠy
Ḅaஹb#$%ᓽbVO᪷)ᱥḄឋᑮᱥ
+,x=-—,0x=l,ᑣ2a+b=0,ᦑ67ᡂ9ᵫ:;x=-3=%y>0,ᡠ?9a-3b+c2a>0,ᓽ9a+c>3b.ூDE௃EGᱥHy
Ḅᙠ0,-1Ḅ.ᦑA┯K•••ᱥᔣM%.a>0,:ᱥḄ
ᙠy
Ḅ%O31⚓/R44⚓

31Ab<0ᦑB┯K•.•ᱥ
+,X=--'2a0x=1,ᓽ2a+b=0ᦑC┯K',;x=-3=%y>0,/.9a-3b+c>0,ᓽ9a+c>3b.ᦑ⌱GD.[⚪ὃ^_`abᦪḄdeHfᦪḄᐵfG`abᦪhax2+bx+ca#Ḅde+ᱥ%;a>0,ᱥᔣM
+,x=-—ᱥHy
Ḅᙶ᪗+0,c;b?-4ac1a>0,ᱥHx
ᨵno;b2-4ac=0,ᱥHx
ᨵpo;b2-4ac<0,ᱥHx
qᨵ.ஹ⚪⚪4ᑖᐳ24ᑖ11.rsGcos245o-tan30°sin60°=____.ூ}~ᫀ௃0ூᑖ᪆௃,ᑭᵨḄbᦪᐭᫀ.ூDE௃cos245°-tan30°sin60°=ߟ2-g.23222ᦑᫀ+0.⚪⌕ὃ^_Ḅbᦪ%}~ᐵᦪ)E⚪ᐵ.12.0ᑴ=-1ᐵ:xḄ/+ߟ5=0Ḅpo᪷%ᑣḄpo᪷⊈=ூ}~ᫀ௃5ூᑖ᪆௃᪷)pᐗ`a᪷HfᦪḄᐵfEᓽ6.ூDE௃EGḄp᪷+X2%ᵫpo᪷+Q=-l,᪷)pᐗ`a᪷HfᦪḄᐵfn᪷¡%-X2=-5,EGX2=5.ᑣḄp᪷X2=5,O32⚓/R44⚓

32ᦑ5[⚪ὃ^pᐗ`a᪷HfᦪḄᐵf%¢£¤¥pᐗ`a᪷HfᦪḄᐵfEḄᐵ.13.᝞d%}§ABCDḄ¨©+2,AE=EB,MN=1,ªMNḄn«ᑖ¬ᙠCBஹCDM®%¯°;CM==%ZXADEHaMNC±.ூ}~ᫀ௃²ᡈ´ூᑖ᪆௃᪷)}§Ḅឋµ6/A=NC=90஺%AD=AB=2,ᑣAE=EB=1,᪷)·¸¹ᳮᓽ6DEḄ©%᪷)AADEHAMNC±ᓽ6»¼.ூDE௃G}§ABCD,.*.ZA=ZC=90°,AD=AB=2,.AE=EB=1,DE=qAE?+AD?=V5'AADEHAMNC±%ZA=ZC=90°,ADDE-AEDE•---------ᡈ---------%CMMNCMMNᓽ`_=½ᡈ_L=Y1,CM\CM\ECM=¾ᡈ}55ὃG}§Ḅឋµ%·¸¹ᳮ%±§Ḅឋµ¿GÀÁ¨§ḄឋµḄÃᵨÄÅᦪÆḄ%ÇÈ%ÅὃÉÊ⚪%Ë¢£¤¥ÀÁ¨§Ḅឋµ᩽+Í⌕.14.ÎÏ3,5
ᙠ,y=ax+ba,b+Éᦪ%½a#0
M%ᑣÐÑpḄ+.O33⚓/R44⚓

33ூ}~ᫀ௃-Ò3ூDE௃Ó⚪ᑖ᪆GÔ3,5
ᐭ,Õ=2*+1?63a+b=5,ᓽb-5=3a,ᐭpÖᓽb-56.ὃGbᦪdeMḄᙶ᪗ḄᱯØ.15.᝞d%ᙠA/BCÅ%ZC=90°,8C=16cm,AC=12cm,PÙ8Ú%Û8c?2cm/sḄÜÝᔣCÞ®%஺ÙCÚ%?1cm/sḄÜÝᔣAÞ®%0Pஹ஺ᑖ¬Ù8ஹ஺ß=Ú%à®=á+â;£==%ACP஺HAC41±.ூᑖ᪆௃᪷)⚪ä6ᑖnåæç%জ;CPéCBè=%XCPQsXCBAHঝCPéCAè=%ACPOsACAB,᪷)±§Ḅឋµᑖ¬=átᓽ6.ூDE௃জCPéCBè=%ACPQs/\CBA,CP_CQᡠ?--------,CBCAᓽëìE/=4.8ঝC?éCAè=%CPQSXCAB,í…CPCQᡠ?——---,CACBᓽ—p,1216Eᑴ64ïMᡠð%;1=4.8ᡈ}=%ñCP஺HñC8/±.O34⚓/R44⚓

34⚪⌕ὃ^±§Ḅឋµ%E⚪Ḅᐵᑖæçòó.2216.᝞d%bᦪy=kx+bHõö÷bᦪy=pḄde%ᑣᐵ:xḄkx+b=—ḄE+—xxூDE௃Ó⚪ᑖ᪆G᪷)bᦪéõö÷bᦪHḄᐵf%6ÏḄEnbᦪḄøᙶ᪗%ᓽx=lᡈx=-2.ஹE⚪ù⚪10ᑖ%ᐳ30ᑖ17.EG2x+l>=2x+l.ூ}~ᫀ௃x=0ᡈx=-ü.2ூᑖ᪆௃ËýᑖEþE6.ூDE௃EG2x+l2—2x+l=0,/.2x+l2x+l-l=0,ᓽ2x2x+l=0,ᑣx=0ᡈ2x+1=0,EGx=0ᡈx=—,.2[⚪⌕ὃ^Epᐗ`aḄ7ÿ
ᐗḄᵨஹᑖஹஹḄᱯ⌱ᔠ〉ஹ#$Ḅ%⚪Ḅᐵ(.18.᝞.ᙠQN8CD45%4஺Ḅ4898cᑮE,>CE=g8C,ABQE,CF.C35⚓/H44⚓

35I1JKLMNOCEZJ5%QMNORI2JᨴB=4,AD=6,Z5=60°,K஺EḄ9.ூXYZᫀ௃I1J]᪆I2JV13ூᑖ᪆௃I1Jᵫ“QMNOḄbNQcde''Ḅឋhij4J஻8C,cZO=8CRᯠn᪷p4ḄqrஹsjᩩuijMNOCEO5ḄbNQcdeVDF=CE,c஺/஻CEJ,ᓽMNOCE஺5%QMNORI2J᝞.w஺x஺yH,᪀⌼}30~ḄOC”wDCHᙠ஺//E4ᵨqᳮᩭKEDḄ9~.ூ௃I1JLᙠ஺ABCDAD//BC,c:F4DḄ4:.DF=AD[•:CE*BC(.DF=CE,\DF“CEMNOCEDF%QMNOI2J᝞.w஺x஺H_LBEyH.*8=4,:.CD=AB=4,(.CH=^CD=2,DH=273.C36⚓/H44⚓

36ᙠCED54CE=DF=-AD=2>,ᑣ£77=1.ᙠRt/\DHE4᪷pqᳮjDE=JQ6)2+T=`.19.4¡¢4£¤¥¦§ᑖ¨Q©ª©ªB«ᑖ4B,C,஺M¬e®p©ªᡂ°±ᑴ᝞³´µ¶·ᨵ¹᦮Ḅ»¼.;(1)À¥᪵Ḅ᪵ÂÃÄ%,⊡ᐰᩩO.R(2)஺eÇᦪᓰÊÇᦪḄËᑖÌ,ᙠᡧO»¼.4CeᡠbÏḄᙊÑ°;(3)Ò᪥ᨵ1500ÇÔÕÖ¼ᐸ4/eḄÇᦪ.3~FOPQRூXYZᫀ௃(1)50,⊡.]᪆R(2)8%,28.8(3)480.ூᑖ᪆௃(1)ᵫᩩO»¼.ᡧO»¼.ÙKÚHÇᦪᯠnKÚBÛḄÇᦪÜ⊡ᐰ.O;(2)᪷p»¼.ÝÞKᓽÙR(3)᪷pÝÞKÚÖßàᓽÙ.ூ௃(1)ᵫᩩO»¼.ᡧO»¼.ÙjHÇᦪ=16+32%=50ÇᡠâBeḄÇᦪ=50-16-10-4=20a,ᦑZᫀ50R⊡ᐰᩩO.᝞.ᡠå4—x=8%R50C37⚓/H44⚓

37ᙠᡧO»¼.4CeᡠbÏḄᙊÑ=8%'360஺=28.8஺ᦑZᫀ8%,28.8RI3JÒ᪥ᨵ1500ÇÖ¼ᐸ4AeḄÇᦪ=1500X32%=480Ç.MஹZ⚪Ié⚪10ᑖᐳ20ᑖJ20.ëìᡠᙠíîïḄb☢ᨵñᜧóô&48=80ö.©ÄÀñíîï÷ᜧóøùḄúû,ë¢üýìḄþᡝCᜐᜧ⚔/Ḅ37஺ᜧ8Ḅ48஺.ᡠᙠᜧḄ!C஺Ḅ"#.$%&'ᶇ᦮ᦪ+,,Ic37瓶*OH\11、,1«11-19am$/ὃᦪ12sin37°«-,tan37°«-,sin48",tan48"»—+541010ூCDEᫀ௃43HூIJ௃J2KC£>=x.ᙠRtZ\ZC஺R.37஺=SE3ADᑣVW---'4x3**.AD——xX4ᙠRSC஺R,BDtan48°=——CD-38⚓/[44⚓

3811BDᑣnIᔊ=x,SS11BD=—x10■:AD+BD=AB,—x+—x=80.410J2xM3.b:ᡠᙠᜧḄ!8ᜧ]^43H.21.᝞`ᙠab8cRZC=90°,஺^6CcdVef06ghḄ஺048ḄReE,FADḄi"jkeRl%Em(1)n2Z1=ZF.,CQḄ".ூCDEᫀ௃$1
noJ᪆X$2
3.ூIJ௃q⚪ᑖ᪆2$1
ltDE,ᵫBD^஺0ḄghᑮNDEB=90஺ᵫkE^ABḄReᑮDA=DB,᪷1xῪz{Ḅឋ}ᑮN1=NBx~ᣚᓽᑮ%X$2
᪷1xῪz{ḄᑨᳮᑮAE=EF=2AB=2AE=43ᙠRtZ\ABCR᪷1ᳮᑮBC="AB2VJ8,KCD=x,ᑣAD=BD=8-x,᪷1ᳮᑡᓽᑮ%.q⚪J᪆2$1+ltDE,YBD^00Ḅgh...NDEB=90஺,YE^ABḄReX.DA=DB,.*.Z1=ZB,VZB=ZF,/.Z1=ZFX2
VZ1=ZF,AE=EF=2,AAB=2AE=4,SRtAABCRAC=AB«si=4,.,.BC=./-AC2=8,sKCD=x,ᑣAD=BD=8-x,VAC2+CD2=AD2,ᓽ42+x2=8-x
2,X.x=3,B|JCD=3.-39⚓/[44⚓

391ὃe2$1+ᙊᕜᳮX$2+Jgz{Tஹ$%⚪16ᑖk22.᝞`xcaOABxc4AFEḄVcᙠxdjy=-$k>0+c0BḄReCxAEḄReD.¡xcAOABḄc"4.$1+¢jᡠ⊤¤Ḅ¥ᦪJ᪆¦X$2+xc4AEFḄc".ூCDEᫀ௃$1+jᡠ⊤¤Ḅ¥ᦪJ᪆¦§=dX$2+xc¨Ḅc"^4©-8.xூIJ௃q⚪ᑖ᪆2$1+ªeC«CGLONkeG,᪷1xcz{Ḅឋ}OG,CGḄ"#¯ᑮe஺Ḅᙶ᪗²ᑭᵨµ¶ᦪ·¸¹º¥ᦪJ᪆¦ᑡ¦»¼ᓽJX2
DDHL4FH,4H=a,,᪷1xcz{Ḅឋ}⊤¤஺”Ḅ"#ᯠ¿⊤¤e஺Ḅᙶ᪗²Àe஺Ḅᙶ᪗ᐭ¸¹º¥ᦪJ᪆¦Jᑮ஺Ḅ¯J.q⚪J᪆2পªeC«CGJ_O4keG,-40⚓/[44⚓

40•.•eC^xca048Ḅc0BḄReOC=2,AAOB=60°,OG=l,CG=OGtan60஺=1VJ=6.♦.ecḄᙶ᪗^ᵫ6=,2k-y/3,¢jᡠ⊤¤Ḅ¥ᦪJ᪆¦y=Ë.X(2)ªeD«DHLAFkeK///=“,ᑣDH=6a..•.e஺Ḅᙶ᪗(4+஺,ὡ)•.•e஺^jy=ËdḄeXᵫÑ="7^'efa(4+a)=#,ᓽ2a2+4a-1=0,J2a—y/5—2,a——5/5—2(ÓÔ)t2AD=2AH=2ᓱ-4.(.iAAEFḄc"^2X0=475-8.23.ᙠÖ☢gᙶ᪗¶R0ØeeA(8,0),eB(0,6),ÀAAB0ÙeB⌮Û┐ÝÞaABXY,eAஹ஺ÝÞ¿ḄáâeAஹ(X,ãÝÞa.(1)᝞`1,äa=90஺æ(]AB=,èAAḄ"X(2)᝞`2,äa=120஺e0,Ḅᙶ᪗X(3)ᙠ(2)Ḅᩩêëc0AdḄVePÝÞ¿ḄáâePíOP+BPîᨬÂÛgtᑏePḄᙶ᪗.-41⚓/[44⚓

41ூCDEᫀ௃(1)10,100Xফ(3ò9)X(3)óôூᑖ᪆௃প᝞`জᐜᑭᵨᳮ»¼AB=5,²᪷1ÝÞḄឋ}BA=BANABA=90஺,ᑣᑨAABAxῪgz{ᯠ¿᪷1xῪgz{Ḅឋ}AAḄ"X(2)«OH_LykH,᝞`ঝᑭᵨÝÞḄឋ}BO=BO=3,NOBO=120஺ᑣ/HBCT=60஺,²ᙠRtZ\BHCTRᑭᵨú30#Ḅgz{zcḄᐵ¶»¼BHḄ"ᯠ¿ᑭᵨᙶ᪗Ḅ⊤¤·ᑏ0,eḄᙶ᪗X(3)ஹᵫÝÞḄឋ}BP=BPᑣOP+BP=OP+BP,«BeᐵkxḄáüeC,l%09ýxkPe᝞`ঝ᧕OP+BPK/C,ᑭᵨᨬᑨOP+BPḄᨬ,Ḽᑭᵨᦪ!"09Ḅ%᪆'(y=±,x-3,123ᑮP(£I,0),ᑣ35OP=OP=£1<=P-DIO'HAD,ᯠCDNDPVAABOeB⌮┐hi90°,3kABOTm.BA=BA',/ABA<=90°,...kABA<(nῪ"IJIK

42B0=B0<=3,ZOBOr=120°,•NHBOy60஺<ᙠRtaBHO'{<*.*NBO'H=90஺-NHBO'=30஺<34/qZ.BH=vBO,=-.O,H=/3BH=^-,A22239/.OH=OB+BH=3+22.••crḄᙶ᪗(,2m22(3)|kABOeB⌮┐hi120஺<3kABO<<PḄ}~(PTBP=BP',•••OT+BPMDP+BP,=BᐵAxtḄ}C,09xtAP<᝞[ঝ,ᑣcrp+BP=OT+pc=crc,OP+BPḄᨬ<••CBᐵAxt}<(.C(0,-6),"CYCḄ%᪆'(y=kx+b,=53+8=90,369,C(0,-6
ᐭ3,%3b=-6b=-3.•."09Ḅ%᪆'(,-6,3y=0<,X-6=0,%3x=08,35ᑣP,0),=P

43•••DHEOgJ,•♦•P'Ḅᙶ᪗(ᵯI2.v44⚓/x44⚓