2022年浙江省绍兴市诸暨市新晖联盟中考数学二模试卷（附答案详解）

《2022年浙江省绍兴市诸暨市新晖联盟中考数学二模试卷（附答案详解）》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
ḕᐶᨀὶὃᦪᔁ1.2022ḄᦪA.2022B.---C.-2022D.-----202220222.%&'())⍝+,-20224ᨴ5(+15ḕ1380004567&ᕒ9:;<.ᐸ38000ᵨ?@ᦪA⊤CDA.3.8x103B.3.8x104C.0.38x105D.0.38x1063.᝞HᡠCᱥKḄLMHr_.4.PQRSTUᨵ5QWᳫஹ3QZᳫ[2Q\ᳫ+◀^⁐᜜ᐸabc.ᤅᒴfgh᥎jPQᳫ+\ᳫḄᭆ᳛DA.-B.-C.-D.-2105105.᝞H,ABD஺஺Ḅop,C,஺ᙊᕜ;Ḅst+uv4BC=38஺+஺ᑣ┦zNBDCḄ|ᦪDC.38°D.26°6.~ᦪy=/ḄHft2,0,ᑣᑡAḄA.ᔣL2Qᓫ+ᔣ2QᓫB.ᔣL1Qᓫ+ᔣ;2QᓫC.ᔣ1Qᓫ+ᔣ1QᓫD.ᔣ2Qᓫ+ᔣ;1Qᓫ

17.Pᱏᢥ᝞HজஹHঝḄᔣLᢚs~fᑮHঞ+£ᙠHঞ᢬¦PQ᝞HᡠCḄ§Ὺoz©zª«+ᑣ¬®fᑮḄHIIzl±z]±Z]±Z1IIID.N/zdxIII8.᝞H+᝞´4B4D=/.CAE,µ¶·¸ᑡPQᩩºf,»¼½¾¿ABCSAAOEḄpAB_DEnABACA.Z.B=DB.zC=AAEDL.—=——*AD~BCADAE9.ᦪÄÅ5ÆÇ--ÈQᦪÉʽjËP~+ᦪÄÌÍ18ÎÏÐḄÑÒ.ᦪÄÓ☢QÕÖ+ÈPÖ×ᑖDÕQªÙ+Ú1-9ÈQᦪÉᙠÈPÛஹÈPᑡ[ÈPÖbÊjËP~.ÜÝÞßᐰ☢ὃáâ⚪ὅåæ½ç[èᳮ½ç+êᯠìAíᓫ+îᦪÉ᣸ᑡᓾᓟòóᓄ+ᡠõ¼öᦟøὅùDᦪÄúûᜮᾯḄþÿ
᝞,ᙠਭᜐḄᦪ3948675487962298349ਮ16457242369A.2B.6C.7D.810.ᙠA4BC!஺#$%BC&'()*4BC=x°,^.BAD=y°,.C஺=CA=AB,ᑣy0x234567ᙠḄᐵ9
A.y=90--xB.y=-x—90C.y=180--xD.y=120--xz2z2z2z211.ᑖ>?
@3/-12=.12.C!D4x-ay=7Ḅ'F>GH஺ḄI.J2⚓ᐳ22⚓

213.᝞ᡠNḄOPQRSᵨOFᐰVḄVῪXYQZᡂḄ,ᑣNB4CḄ\ᦪ#.14.ᙠ]ABC^C=4,BC=2,AB=2_`AB#Pᙠ]^BC᜜bVῪ$Y]ABD,cdCD,ᑣCD=.15.᝞ef%y=@0RMBOCḄgP0Bhi(A,BCD,)0=|SABOD=21ᑣkḄI#.16.᝞XYQ]ABCAB=5,BC=3,4c=4,(lmA(nopABqrᑮ8(`CP#gPb᝞ḄVῪ$Y]PQC,.NPQC=90஺ᑣRtAPQCḄ᜜tqrḄuvw#,8QḄᨬyI#.17.প{|@2sin300-|1-V2|+(JT-2022)°}(2)>4V
@6%—2>3x+10.18.2021~12ᨴ9ᓝX''ᜩᚪᔣᐰᳫ$.ᜩᕒ⍸ᜧ☘~ᙠᙢ☢ᐵ¡mᜩᙢ¢£¤!¥¦Ḅᝍ¨ஹª¡«¬Ḅ®ᜩᚪ”°ᩭ²OF³´Ḅ¡:A@Yr¶·ឤB¹^ºᜫ¡C@¼½¡D¼ᳫᡂ¾¡E¿Àᱏ¡.#²²>Â᪥ÄÅÆᙠÇ5F¡ᨬ¤ᐶ®Ḅ'F¡ÉÊË̲ÍᑖÄÅÎÏÐÑÒÓÔᑴᡂ1ஹ2,ÖÒᔠḄØÙ>ÚÛᑡÝ⚪@(1)ßàᐳÐÑ______âÄÅÎÏᩩQä{⊡ᐙç᦮}(2)ᐰ᪥2500éÖê{ë¼ᳫᡂ¾¡ᨬ¤ᐶ®ḄÄÅᨵíéî(3)yïðyñòéóôᙠ8@¹^ºᜫ¡C@¼½¡஺@¼ᳫᡂ¾¡ÇX

3F¡⌱ö'Fª¡Öᵨ᪛øᡈᑡ⊤ûüïýþ⌱ö'F¡ª¡Ḅᭆ᳛.᪥ᨬᐶḄ᪥ᨬᐶḄ2119.᝞ᨵᳫᳫḄᘤ!"#$%&'()*"+BD=30m,,ᳫ&'Aᜐ.$/%&'BḄ01+60஺.(1)3ᳫA"ᙢ☢Ḅ/6(89ᑮ1m);(2)<ᳫ=Ḽ?)@ḄABCD20sEᑮFGC,#Hᘤ!,ᳫ&'Cᜐ.#$/%&'BḄ01+45஺3ᳫCDḄ)ᙳJ6.(89ᑮ0.1m/s,V2«1.414,V3«1.732)20.᝞ᙠ)☢L1ᙶ᪗OPQRᦪyi=kx+b(k*0)ḄT?UVWRᦪ+=;(Z40)ḄT[\]^ஹ`T▲ᑁḄc2,4),B(a,—2)dG?xe[\]GC.(1)3fUVWRᦪgQRᦪḄ⊤Fi.(2)Ljᑏl

421.᝞ᙠ)@vwxA2CDPAB=10,AD=8,/.DAB,4BCḄ)ᑖBAE,Bᑖ?LBCD\]GE,F.(1)3EFḄ.(2)⚪PḄᩩ“40=8”ᣵᐸᩩ.জ

5஺N
1.O@AQḄA(3)᝞ঞQAPCQRPQSᢚUᑮAPQM,
MWᔲYZ[ᙠAABCḄ\]&ᚖ.0_᝞`YZabḄxḄc᝞`YZᳮᵫ.d6⚓ᐳ22⚓

6gᫀij᪆1.ூgᫀ௃Cூj᪆௃ூᑖ᪆௃o⚪ὃrsatᦪj⚪ḄᐵwWxyzᨵ|}~Ḅᦪ-atᦪ.᪷atᦪḄᓽYUgᫀ.ூjg௃j᪷atᦪḄ2022ḄatᦪW-2022.ᦑ⌱C.2.ூgᫀ௃Bூj᪆௃j38000=3.8X104.ᦑ⌱B.ᦪḄ⊤-ax10”Ḅᐸ&1<|a|<10,஻-᦮ᦪ.nḄc@⌕Dᦪᡂ஺@ᦪ
2s஻Ḅ¡c¢ᦪ
2Ḅᦪa~.?ᦪ¡c210@"W¤᦮ᦪ?ᦪḄ¡c<1@"W¥᦮ᦪ.O⚪ὃrᦪḄ⊤¦.ᦪḄ⊤-axionḄᐸ&1W|a|<10,஻-᦮ᦪ⊤@ᐵw⌕¤஺ḄcZ§஻Ḅc.3.ூgᫀ௃Bூj᪆௃ூᑖ᪆௃o⚪ὃr¨ᱥªḄN«.ᙠ¬@1⌕QᱥªḄ]ஹ®ஹ⚔
°ª±ᩭU³Ḅ´µ.°¬ᡂ¨.³Ḅ¬ᡂ¶.·¸ᣵ.᪷º«W»º«&¼ᨵ½ḼḄ¨.¿À⌱ÁᓽY.ூjg௃jº«-ᦑ⌱B.4.ூgᫀ௃Cூj᪆௃jᤅᒴÄÅÆ᥎1ᳫWÉᳫḄᭆ᳛-Ì=ᨬᦑ⌱C.ÎÏᑭᵨᭆ᳛ÒÓÔYU.o⚪Õ⌕ὃrᭆ᳛Òj⚪ḄᐵwWxyÖ×ØÙAḄᭆ᳛P(A)=ØÙAY·±

7ḄÚ`ᦪᓟᡠᨵY·±ḄÚ`ᦪ.5.ூgᫀ௃8ூj᪆௃jÝÏAC,••4BW஺஺ḄÎÞACB=90°,•••4ABC=38°,/.BAC=90°-/.ABC=52°,•••BDC=^BAC=52°.ᦑ⌱B.ᵫABW஺0ḄÎÞ᪷ÎÞᡠ¡ḄᙊᕜáWÎáᓽYU44cB=90஺âᵫ4aBe=38஺ᓽYU44ḄJᦪᯠÄ᪷ᙠ~ᙊᡈåᙊ&~æᡈåæᡠ¡ḄᙊᕜáaåᓽYUNBDCḄJᦪ.O⚪ὃrsᙊᕜáᳮ.O⚪çJᜧéÆxyÎÞᡠ¡ḄᙊᕜáWÎá¢ᙠ~ᙊᡈåᙊ&~æᡈåæᡠ¡ḄᙊᕜáaåᳮḄbᵨWjO⚪Ḅᐵw.6.ூgᫀ௃Cூj᪆௃jAஹêÄḄj᪆-y=(x+2)2-2,?ë=2@y=14,o⌱⚗|ᔠ⚪Æ.BஹêÄḄj᪆-y=(x+l)2+2,?x=2@y=11,o⌱⚗|ᔠ⚪Æ.CஹêÄḄj᪆-y=?x=2@y=0,îᦪïð3(2,0),o⌱⚗|ᔠ⚪Æ.DஹêÄḄj᪆-y=(%-2¥+1,?ñ=2@y=1,o⌱⚗|ᔠ⚪Æ.ᦑ⌱C.êÄḄòᱥ.Ḅj᪆ᑭᵨóôᦪjõö⚪ᓽY.o⚪ὃr÷øîᦪï¢ùúᣚ÷øîᦪï0
Ḅᱯýj⚪ḄᐵwWþÿ
ὃὃ⚪.7.ூᫀ௃Cூ᪆௃ᑮḄ!:ᦑ⌱C.%&'()*+.⚪ὃ,-./⚪⚪Ḅᐵ1!ᳮ⚪345%&'(6/⚪.8.ூᫀ௃C78⚓ᐳ22⚓

8ூ᪆௃••/.BAD=/.CAE,:.DAE=Z.BAC,.-.A,B,஺<)ᑨ>?ABCs?@DE⌱⚗CB!ᜳDEFGḄHᡠJBKLᦑ⌱C.᪷NOPKLQGḄᑨ>RSTᔜF⌱⚗VWᑖ᪆YZᑮᨬᫀ.\⚪ὃ,]KLQGḄᑨ>জ᝞`EFQGḄQaTbHḄcKdefDEFQGKLgঝ᝞`EFQGḄEᩩTbHḄcKdjᜳGKdefDEFQGKL;ঞ᝞`EFQGḄEFTbGKdefDEFQGKL.9.ூᫀ௃A•••ᦪno☢!FqrstruᑖvqFwxy1-9sFᦪzᙠstWஹstᑡ~str

9ூ᪆௃£஺ᙠ¤¥BC¨,:.Z.C=ABC=%°,••CD=CA,/.ADC=/.CAD=180°~zC=90°--x°,22vZ.ADC=ZB+BAD,•••90—|x=x+y,ᓽy=90—|xg£஺ᙠ¤¥8CḄ¸¹¤¨£஺ᙠ¤¥CBḄ¸¹¤¨,ᦑ⌱D.ᑖ@ᙠ¤¥BC¨ᙠBC¸¹¤¨ᙠCB¸¹¤¨º+᪷N᜜G~dBK¼ḄEFᑁG~PQGᑁG~>ᳮ)¾yxḄd¿ᐵÀÁ.\⚪ὃ,]dῪQGḄᑨ>ឋÄJPQG᜜GḄឋÄ.Å3ᑖÆÇÈḄbᵨ!\⚪Ḅᐵ.710⚓ᐳ22⚓

1011.ூᫀ௃3(x-2)(x+2)ூ᪆௃ÉÁ=3(/—4)=3(%+2)(x-2).ᦑᫀv:3(x+2)(x—2).ÉÁÊË3,ÌᑭᵨÎRÏÐÁᑖᓽ).⚪ὃ,ÊÐÑÁÐÁSḄÑÁᑖ.12.ூᫀ௃1ூ᪆௃ÒÓ)3ÔᐭRÖ4+3a=7,a=1.ᦑᫀv1.ÒxyḄ×ÔᐭRÖØÙᓽ)¾aḄ×.\⚪ὃ,]ᐗtRÖḄRÖḄᓽvyRÖÛÜEHKdḄÝᦪḄ×.13.ூᫀ௃36°•••ÞHßà!ᵨÞFᐰdḄdῪQGâᡂḄÞHßàväÞH.“஺=æ£ᳮ=108஺•••/.ABC+CBD=/-ABC+/.BAC=108°,•••BCA=180°-108°=72°,AZ.BAC=180°-2/.BCA=36°.ᦑᫀv36஺.ᑭᵨᐰdQGḄឋÄ~äÞHḄ>ç)ᑨèÞHßàväÞH᪷NéHḄᑁG~>ᳮ)ØÙê4BD=108஺ᯠ᪷NQGᑁG~¾ᓽ).⚪ὃ,]éHᑁG᜜GéHᑁG~>ᳮ5-2>180஺(>23j஻v᦮ᦪ);éHḄ᜜G~d360஺ñòᨵᐵ!⚪ḄẠ.14.ூᫀ௃2ôᡈ2mᡈ3öூ᪆௃᝞1,ABD=90°,•••AC=4,BC=2,AB=2G1

11^AC2+BC2=AB2,v÷GQG,N4cB=90஺,¸¹C8,ø஺(DE_LCBE,■:DE1CB,•BED=ê4cB=90°,4஺48+4஺84=90°,•?ABDvdῪ÷GQG:AB=BD,Z-ABD=90°,NCBA+"BE=90஺Z.CAB=EBD,ᙠ?/஺842ACB=(BEDZ.CAB=EBD,AB=BD•?ACBA8EO(A4S),ABE=AC=4,DE=CB=2,•••CE=6,᪷Núû>ᳮCD=VC£2+DE2=2üg᝞2,NB4D=90஺ø஺(DEICA,ᚖþvE.vBC1CAf•Z,AED=ACB=90°,•Z.EAD+Z.EDA=90°,••?480vdῪ÷GQG^AB=ADNBAD=90°,f.Z.CAB+Z.DAE=90°,:.Z-BAC=Z-ADE,ᙠ?4CB?OEANACB=/.DEAZ.CAB=EDA,AB=DA?஺ÿ4(44S),•DE=AC=4,AE=BC=2,•CE=6,᪷
ᳮCD=y/CE2+DE2=2713᝞3,4DB=90஺஺DE_LCB,ᚖE,A4FJ.DE,ᚖvNC=90°,Z.CAB+/.CBA=90",12⚓ᐳ22⚓BE

12V/.DAB+/.DBA=90°,•EBD+Z.DAF=90°,••Z-EBD+BDE=90°,Z.DAF+Z.ADF=90°,•Z.DBE=Z.ADFfᙠDEB2DBE=/-ADFBED=Z.AFD,DB=AD:,AF=DE,DF=BE,2+DF+BE=4,:.DF=BE=1,•.CE=DE=3,CD=y/CE2+DE2=3V2.ᔠ!"#CDḄ%2aUᡈ2'ᡈ3(.ᦑ+ᫀ2-ᡈ2mᡈ3a.ᑖ/012345ᵫᐰ8/95Ḅឋ;<ᳮ#4+ᫀ.=⚪ὃ@Aᐰ8/95ḄᑨCឋ;8ῪE9/95Ḅឋ;ᳮFGHIᐰ8/95ḄᑨCឋ;JKL⚪ḄᐵN.15.ூ+ᫀ௃8ூK᪆௃KRS(2a,/),,,AO_2,**=W,AB3:.OAOB=25,ᘊ)•••BClxZ஺ᙠ[\]^ᦪ`",•.D(5a,2),S^=1\k\,C0DCD=ߟ,BD=---=ߟ,5a4a5a20ak•S“OD_££__s^__4•,ᡈbWcWdWᱛ20a,:S&BOD=21,f|=4,•k=8ᡈ஽=W8
iᦑ+ᫀ8.ᐜRAḄᙶ᪗ᯠ'ᑭᵨ*=p45Ḅᙶ᪗qp4஺Ḅᙶ᪗rsᑮC஺AB3

133஺Ḅ%uvsᑮ஺஺஺ABDOḄ☢x\ᨬ'p4CODḄ☢xp4AḄz.L⚪ὃ@A[\]^ᦪḄ\]{ᦪkḄ|}~/95Ḅ☢xK⚪ḄᐵNJRAḄᙶ᪗rspCḄᙶ᪗.16.ூ+ᫀ௃◤ூK᪆௃K᝞CPQḄ᜜ᙊ஺0,ABCH,OH,0Q.CHP=90",CHLAB,•••PCQJ8ῪE9/95•••/.CHQ=CPQ=45",.••QḄJHQ,BQ1HQBQḄzᨬᨬz=8”,vRtAPQCḄ᜜஺JABCḄMN,•••RtPQCḄ᜜Ḅ%=MN=|,■•AC=4,BC=3,AB=5,AC2+BC2=AB2,4cB=90°,"S=\-AC-CB=\-AB-CH,hACB12•CH=BH=y/BC2-CH2=J32-(y)2=I•.BQḄᨬzᦑ+ᫀIᢤ.᝞CPQḄ᜜ᙊ0஺ABH,C4,OH,OQ.ᑭᵨᙊᕜ9ᳮCHLAB,ACHQ=45°,4஺ḄJ”஺BQHQ8஺Ḅzᨬᨬz=8”,RtZiPQCḄ᜜஺JAABCḄMML⚪ὃ@/95Ḅ᜜ᙊᕜ9ᳮ/95ᳮ8K⚪ḄᐵNJ14⚓ᐳ22⚓

14¡¢£¤QḄ¥ὃ¦§⚪Ḅ¨Z⚪.17.ூ+ᫀ௃K©1ª«=2x1-
¬W1+1=1-72+1+1=3-V2
26%—2>3%4-10,6%—3%>10+2,3x>12,%>4.ூK᪆௃©1ª«ᑭᵨᱯ®9Ḅ/9^ᦪz¯°zḄ±ᦪ~²ᢣᦪ´Ḅµᑣ·¸ᓽ#ᑮº»
2᪷
KWᐗW½¾8«¿LÀÁÂ⚗ஹᔠÅ-Æ⚗ஹ{ᦪᓄ1#.L⚪È⌕ὃ@KWᐗW½¾8«Ḅ¿LÊSËᦪḄÌᔠ¸ÍÎ⍳ÐK¾8«Ḅ¿LÀÁJᐵNÑᐸ◤⌕Ó~¾8«ÔÕÖ×!ᡈ◀!-WÙÚᦪ¾8Ûᔣ⌕ᦋÞ.18.ூ+ᫀ௃1000ூK᪆௃K©1L½ᐳß@ḄàáᦪJ100+10%=1000
â,஺Ḅãᦪᨵ1000x15%=150
âBḄãᦪᨵ1000-100-100-300-150=350
â⊡ᐰæ·᝞çè᪥àáᨬêᐶìḄËíæ·
2᪷
⚪~:2500xï=375
ã+°ðᳫᡂóËíᨬêᐶìḄàáᨵ375ã;
3᪷
⚪~3᝞ç:

15BCD/K/1\BCDBCDBCDᐳᨵ908#ÊḄ12ᦪᐸö÷⌱ù-WÙËíúíḄᨵ30ᑣö÷⌱ù-WÙËíúíḄᭆ᳛J|=(1)᪷AḄᦪᡠᓰḄᑖḄᦪᑖ8ஹ஺Ḅᦪ⊡ᐰ(2)ᵨᦪ#$%&ᳫᡂ)*+ᨬ-ᐶ/Ḅ01ᡠᓰḄᑖᓽ3(3)᪷⚪67᪛9:ᡠᨵ<3=Ḅ>?ᦪ@⌱BCDE*+F+Ḅ>?ᦪ,ᯠI᪷ᭆ᳛LMᓽ3:Nᫀ.Q⚪ὃḄSᵨᑡ⊤Vᡈ᪛9Vᭆ᳛.ᑡ⊤V3$XYZX⍡\Ḅᑡᡠᨵ3=Ḅ]^〉ᔠabcdᡂḄef᪛9V〉ᔠbcᡈbc$gdᡂḄef.ᵨᑮḄijklmᭆ᳛=ᡠ>?ᦪo>?ᦪp.19.ூNᫀ௃um(1)ᵫ⚪63:w48஺=60஺,ᙠRt48DBD=30m,tan600=—=—=V3,BD30u:ADa52.•ᳫAᙢ☢Ḅl527n.(2)kCCE1BD,BZ)akE,ᑣCE=/W=52m,AC=DE,AACB=A.CBE=45",•••BE=CE=52m,BD=30m,DE=AC=BE-BD=52-30=22(m),ᳫḄᙳ¢l22+20=1.1(m/s).ூu᪆௃(1)ᙠRtABDtan60஺=¦=,=§u:4஺252.(2)kCCE180,+,BDE,ᑣCE=40=52zn,AC=DE,^ACB=NCBE=45஺3:BE=CE=52zn,DE=AC=BE-BD=52-30=22(m),ᑣᳫḄᙳ¢l22+20=l.l(m/s).«16⚓ᐳ22⚓

16®⚪ὃu¯°¯±Ḅ²ᵨ-´¯µ¯¶⚪·¸¹º┦¯°¯¼ᦪḄ½¾SuN®⚪ḄᐵÀ.20.ூNᫀ௃um(1):ᐜ=94(2,4),•••m=8,••ÃļᦪḄ⊤ÅMmy=-2"BQ-2)ᙠÆ2=3•a=—4,•8(—4,—2),Ç4(2,4),3(-4,-2)bkÈᐭÊ=kx+b,:l—4k+b=—2u:k=1,b=2,•D˼ᦪḄ⊤ÅMmy1=%+2(2)Ìp2ᡈD4WxV0Íy>y.12ூu᪆௃(1)Ç4(2,4)Èᐭᑘ=;m,ÇB(a,-2)ÈᐭÆ2=?“Ç4(2,4),8(—4,—2)bkÈᐭyi=kx+b,Ñb-(2)᪷bkḄÒᙶ᪗xḄÕÖØ.®⚪ὃÙÃļᦪoD˼ᦪḄk¶⚪¹ºÚ½ÛᦪVDËஹüᦪu᪆MḄcÜ᪷bkḄÒᙶ᪗xḄÕÖØSu⚪ᐵÀ.21.ூNᫀ௃um(1)ஹ•ÝÞ±ABCDSßÝÞ±•••CD//AB,Z.BAE=Z.AED,ABF=LCFB,•:DAB,4ABCḄᑖAE,8FᑖoC஺akE,F,:.Z.BAE=Z.DAE,ABF=CBF,•Z.DAE=ZJ1EO,CBF=CFB,:.AD=DE=8,BC=CF=8,-AB=CD=10,•EF=DE+CF—CD=8+8-10=6(2)জ᝞1ᡠâm1Cᳮ:mAD=DE,BC=CE,

17•••DE=CE=-CD=-AB=5,22•AD=DE=5ঝÝÞ±ABC஺Så±ᳮᵫ᝞æ:᝞2ᡠâm•kEokCYᔠ:.DE=AD,••CF=BC,k/ok஺Yᔠ.•.nABCDSå±.ூu᪆௃(1)᪷¯ᑖḄ½¾ßḄឋè:mAD=DE=8,BC=CF=8,ᨬIᵫéḄê3:Nᫀ(2)জCᳮ3:DE=CE=AD=5-ঝᵫ⚪6:=ᵫCF=BC,ᓽ3u.®⚪ὃÙßÝÞ±Ḅឋè¯ᑖ½¾<Ὺ°¯±Ḅᑨ½ßḄឋèå±Ḅᑨ½/?@1ᐗ/ᜩ⌕$ᓬB30!CD2ᑮyGxHIḄJᦪᐵLMNO18⚓ᐳ22⚓

18(2)᪷=/!ᑭx├!ᦪ=RᑭC2PᐵxḄᐵLMᵫTUJᦪឋWC2XᫀN(3)᪷=⚪[\ᑭ]9000,92^Ḅ_`ᔠ⚪[C2xcdᵫ'UJᦪឋWᓽ2Xᫀ.f⚪ὃhTUJᦪḄiᵨ'ᐗTUklḄiᵨ9⚪Ḅᐵmnop⚪[qBᡠst⚪◤⌕Ḅᩩw.23.ூXᫀ௃(1)xoyᑖ{|AELCD,BFLCD,ᚖ~&E,F,Z.AEP=BFP=90°,PnA8•••AP=BP,^E^AEP^^AFP,2AEP=4BFP=90°/.APE=BPF,AP=BP.AAEP^^AFP(AAS'),.-.AE^BF,ᓽC£nAஹ8Ḅ'ᩩ].2(3)9yA8Ḅ9᪆M&y=kx+b,:4(1,-2),8(0,-1),*+b=2th=-1,ABḄ9᪆M&y=3%-1,••S^APC-S^BPC».4ஹ5ᑮPCḄ]জ᝞PC஻/ᳮsBPCḄ9᪆M&y=3%+7,

19yp;\k*'3PCGᙶ᪗Ḅ&P(-0),%P~ᩩw.ঝCPABs2ABE©,},CE9᪆M&y=-gx+|,y=0x=3,•••P(3,0).¡¢ᡠ£¤Ḅᙶ᪗&(3,0)ᡈ('0).ூ9᪆௃(1)ᑖ{|4E1CD,BF1CD,ᚖ~&E,F,ᑭᵨAASxo©AEPª©4FP,2ᑮAE=BFᓽCxoCDnAஹBḄ'ᩩ]N(2)᪷=]Ḅ¬®|B¯N(3)ᵫSMPC=SBPCC2AஹBᑮ¤CḄ]dᑖ°±²³´ᵫµ¬LᦪsB9᪆MᓽCsBPḄᙶ᪗.f⚪n¶·¯¡ᔠ⚪ὃh¸ᑮḄஹᐰ]¶·¯Ḅᑨ¬GឋWµ¬Lᦪ»'UJᦪ9᪆MGᙶ᪗Ḅ]¼½9Xf⚪Ḅᐵmnᳮ9IḄ]Ḅ¬.24.ூXᫀ௃9y(1)᝞জ4Q=y.•3•PQ//AB,CP_CQ••=,CBCA28-y-=--,6816•••y=TfAC16•AQ=(2)᝞28c4¤7.ঝ•••x=3,•••CP=3,CQ=4,PQ=V32+42=5,O20⚓ᐳ22⚓

20••(PCQ=Z.BCA=90°,PCB=4ACQ,CPCB3--=--=rCQCA4BCPsுACQ,PB_BC_3Z-CBP=(CAQ,AQ~AC~4’BTP=Z-ATC,•BPT=ZACT=90°,•CDᎷPB=3k,AQ=4k,-AB=7cB2+AC2=V62+82=10,PQ=JO(72+“2=V32+42=5,vAB2=PB2+AP29222A10=(3/c)+(5+4k),¶Âᡈ¶Â(ÃÄ),92k=-16+4V91•••AQ=----------------(3)᝞ঞ'1MÆᙠ8cḄᚖᑐV¢É®CM,ÊËCMA8Ì■.•APQM4PCQᐵPQÍÎ,CM1PQ,■■■PQ//AB,CH1.AB,■--AB-CH=--AC-BC,22BH=yJCB2-CH2=J62-(y)2=y,.JMBHvtanzMCy=—=',CJCH39MJ=-x3=-J44ᙠRtZkPMJPJ2+MJ2=PM29,%2=(3—%)2+(1)2,

21225X-■---------196225,CP=—96᝞ঞ-2MÆᙠACḄᚖ¢P|PR1KM¢CP=PM=y.ᙠRtAPMR»C2*=42+Ó-y)2,92y=y.ACP=—,2¡¢ᡠ£~ᩩwḄCPḄ_&]ᡈூ9᪆௃(1)AQ=y,ᵫPQ஻/IB,ÖB×=¥ᵫ%᪀Úkls9ᓽCNCBCA(2)xoABCPSAACQ,ÖBÛ=ᘤ/4CBP=4CAQ,ÖBZBP7=AACT=90°,PB=3k,AQ=4k,ᑭᵨßà¬ᳮ᪀Úkls9ᓽCN(3)ᑖáâ¯y᝞ঞ'1MÆᙠBCḄᚖJN¢É®CM,ÊËCMABÌ᝞ঞ'2MÆᙠACḄᚖ¢P|PR_LKMR,CP=PM=y.ᑖ{ᑭᵨßà¬ᳮ᪀Úkls9.f⚪çèéêᣚ¡ᔠ⚪ὃh¸ì¶·¯Ḅᑨ¬íឋWßà¬ᳮ]¼½9⚪Ḅᐵmnîïðñòᵨóô᪀⌼ᱯ÷¶·¯9øt⚪çὃù⚪.O22⚓ᐳ22⚓