2022-2023学年湖北省宜昌市猇亭区九年级（上）入学数学试卷（附答案详解）

《2022-2023学年湖北省宜昌市猇亭区九年级（上）入学数学试卷（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。

2022-2023
ᓅḕ
ᐭᦪᔁ1.ᦪᨵᑣᦪXḄ"#%&x-1A.xHlB.x>0C.%>0D.%>0'(H12.+ᑡ-./Ḅ&A.J—3
2——3B.V4—+2C.J—3
2-V3^D.V—8-V83.0123435Ḅ67ᑖ9&5:12,ᑣ;47<A.13B.A4119C.13ᡈVHWD.>?/@4.+ᑡAḄ4ᩩCD?Eᡂ23435Ḅ&A.4,5,6B.2,3,4C.1,1,V2D,I,2,27.G᪥o?&

1A.3B.1C.09.gᦪy=kx-2~y=g(k#0)ᙠMᙶ᪗ᑁḄhio?&()/JXiA.B.C./1D.,10.01ᐵXḄMᐗj+bx-1=0,ᑣ+ᑡᐵ᪷Ḅᑨ./Ḅ&()A.ᨵ6>Ḅᦪ᪷B.ᨵ6Ḅᦪ᪷C.ᨵᦪ᪷D.ᦪ᪷Ḅᦪ~ᦪᓃḄ"#ᨵᐵ11.01~᜜&/M3%-2=0Ḅ6᪷ᑣᧁ+¤Ḅ#<()A.5B.10C.11D.1312.¦gᦪy=x—3~ஹ=:ḄhiḄ6©ªḄ«ᙶ᪗<஻ஹb,ᑣ:+¬=.13.MEᦪ¬1,2,3,4,5,஺Ḅ`ᦪ&3,ᑣ^EᦪḄ°&.14.ᙠ±☢23ᙶ᪗2Cy=-1%+3~*´ஹµ´©ª4ஹB,ªCᙠx´¶·´¸48C<Ὺ435ᑣªCḄᙶ᪗<.15.01Mgᦪy=kx+bḄhi»¼Mj½i▲'2

2<4123%ᡂ/ᑖ909284☢ᡂ/ᑖ858886(1)8%ᡂ&☢ᡂᔜᓰḄ*ᑖ+;(2)8CᐸE⌱Ḅ-ᔠᡂFG-ᔠᡂ᣸BC,஺ABḄl`EwxACyḄ)`.14c-(1)᝞M1,NAE4=90°,BC=2,AC=4,8OEḄt;(2)᝞M2,N4E=BCq|ECl`8uZ/1FD=^zC(3)N24AED-/C=180஺AEஹBCஹACḄᦪᐵFu

3BB22.ᨴᜧᦪN%/◤⌕᪥᜜¤ᦻᐹ§ὁ©¤ªᢇ¬®¯ᵬ±²K³´µ¶Ḅ%ᐳ950¸3ᵬ¶%Ḅ¹2ᐗ/±¶%Ḅ¹4ᐗ/²¶%Ḅ¹6ᐗ/.(1)L¯ᐳ»¼3300ᐗFqᵬ¶Ḅ%ᦪ±¶%ᦪḄ2½¾¿L²¶%ÀÁ(2)ÂÃÄẆ¬2ᵬ¶%ஹ±¶%&²¶%ḄÆǹᑖ'$4ᐗ/ஹ6ᐗ/&10ᐗ/ÈᜩÊᑖ'ÇCᵬ¶%30±¶%50&²¶%20.᝞Ë̱¶%ḄÆǹÍÎÏᐗ(a>25),ᵬ¶%&²¶%ḄÆǹᙳÒᢝ´Ô,ÕÖ±¶%ᜩḄ├ÇÌØa%,²¶%ᜩḄ├ÇÌyᓣa%,ᵬ¶%ᜩḄ├0Òᢝ´ÔNĹÛᜩ├ÇK¶%ᐳÊÜᑭ260ᐗ8aḄÞ.23.᝞MßgABCZ)l`MஹNᙠowBOyâãAM,ANFät\BCஹCO]`EஹF,âãEN.(1)᝞M1,NM,NåᙠwxBDyq4N=NE,8/MAN(2)᝞M2,æ`MᙠwxOBätwyÈAN=NE,(1)lNM4NḄçᦪ´ÔᑨéDN,MNêëḄᦪᐵFu(3)᝞M3,N`Mᙠ஺BḄätwyNᙠBDḄätwyqNMAN=135஺AB=V6,MB=V3,8DN.24.᝞Mᙠd☢oíᙶ᪗lowy=2%+4
xò\]`4,
)ò\]`B,Ã`8Ḅow\xò]C,qvABC☢c10.(1)8`CḄᙶ᪗óow8CḄa᪆

4(2)᝞M1,ô`FwxABl``Gyòy)õ`âãFG,G|GfᔣFG÷øùßgFGQP,ᙠG`ḄúõÃûlæ⚔`஺ýᙠow8cyÈ8`GḄᙶ᪗(3)᝞M2,NMwxBCy)`q/4MB=S“OB`EowAMy)õ`ᙠxòyᔲÿᙠ
஺
஺E,B,C⚔
Ḅᙠ
஺Ḅᙶ᪗ᙠᳮᵫ.12

5ᫀ!᪆1.ூᫀ௃஺ூ!᪆௃!&᪷(⚪*+&fx-®,nLx—140!+&x>06x41.ᦑ⌱&D.᪷(9:᪷;Ḅឋ=ᑖ;Ḅ*?@ABᦪᜧEᡈGE0,ᑖHGE0,IxḄK.L⚪ὃNḄOP
&ᑖ;ᨵ*?ᑖH0;9:᪷;Ḅ@ABᦪSTUᦪ.2.ூᫀ௃Cூ!᪆௃ூᑖ᪆௃L⚪ὃNWXB᪷YB᪷Ḅᭆ[\E]Ạ⚪.ᑖ_᪷(WXB᪷YB᪷Ḅᭆ[ᑨaᔜ⌱⚗ᓽI.ூ!௃!&Aஹ#=3,ᦑL⌱⚗┯kBஹ75=2,ᦑL⌱⚗┯kCஹy/(ߟ3)2=5/sᦑL⌱⚗tuDஹg=-2,V8=2,ᦑL⌱⚗┯k.ᦑ⌱C.3.ூᫀ௃Cூ!᪆௃!&y12Sz{|}~=V122-52=gy12S{|}~=V122+52=13ᦑ|}Ḅ~&ᡈ13.ᦑ⌱&C.L⚪O}Ḅ~uᩩSSzᡠ|}Ḅ~ᑖᓽ12SzᡈḄᯠᑭᵨᳮ!.L⚪ὃNᑭᵨᳮ!}ḄyOᩩᨵuSz{⌕¡*ᑖ.4.ூᫀ௃Cூ!᪆௃

6ூᑖ᪆௃᪷(“}}£¤¥¦§ḄBGE¦ᜧḄB¥}¨S}”⌲«¬⌱⚗ᑨaᓽI+®¯.L⚪ὃNᳮḄ⌮ᳮᨵᐵOP!⚪Ḅᐵ²ᙠE³´µ¶ᳮḄ⌮ᳮ.ூ!௃!&452+42062,}Ḅ}~ᦑL⌱⚗·ᔠ⚪*.8.22+32¥42,}Ḅ}~ᦑL⌱⚗·ᔠ⚪*.C.l2+I2=(V2),}Ḅ}~ᦑL⌱⚗·ᔠ⚪*.0.12+22422,}Ḅ}~ᦑL⌱⚗·ᔠ⚪*.ᦑ⌱C.5.ூᫀ௃Aூ!᪆௃!&"AB=3,AD=4,DC=3,•••AC=V32+42=5,᪷(ᢚºI+&XDECd»EC,D'C=DC=3,DE=D'E,»EC=x,ᑣD'E=x,AD'=AC-CD'=2,AE=4-x,ᙠRtAAED'&(AD")2+(ED')2=AE2,22+x2=(4-x)2,!+&x=|,ᦑ⌱&4✌ᐜᑭᵨᳮ¿WACḄ~À᪷(ᢚºI+ÁDECÂ)D'EC,»ED=xᑣD'E=x,4D'=AC-CD'=2,4E=4-x,À᪷(ᳮI+BÃ2?+/=(4«ᑐÅÀ!BÃᓽI.Æ⚪Ç⌕ὃNÈḄÉḼËᣚÍᳮḄÎᵨᐵ²Sµ¶ᢚºḄឋ=&ᢚºS«¬ÏËᣚÐ\EѬÏᢚºÒÈḄÓᜧ§ËÔÕËᓄ¬Î¬Î×G.6.ூᫀ௃Dூ!᪆௃ூᑖ᪆௃ØÙCD,ᑨaCEOÚSÛÀ᪷(ÛḄ¬Ü×GI+EF=CD,ᯠ᪷(ᚖÜÞᨬàI+CD14B{ÜÞEFḄ~ᨬ§áâ!ᓽI.L⚪ὃNÛḄᑨãឋ=ᚖÜÞᨬàḄឋ=³äឋ=ãᑨBåæuEÚᨬà{Ḅ

7ÔÕS!⚪Ḅᐵ².ூ!௃!&᝞ÈØÙCO,ri\DFA-DE±BC,DFLAC,Z.ACB=90°,•••CEOÚSÛ•••EF=CD,ᵫᚖÜÞᨬàI+CD1AB{ÜÞEFḄ~ᨬ§,■AC=3,BC=4,AB='AC?+BC2=5,•••CE£óÚSÛᦑ⌱&D.7.ூᫀ௃Aூ!᪆௃!&ôᦪ(ḄÔᦪ|18¥ᦪ(ᓽÔᦪ6/76ö:ᦪᨬ÷øᦪ6ùᦑ⌱&A.ÙᑭᵨÔᦪøᦪḄᭆ[!I+.L⚪Ç⌕ὃNøᦪÔᦪ!⚪Ḅᐵ²Sµ¶øᦪÔᦪḄᭆ[.8.ூᫀ௃Aூ!᪆௃!:ûüýþᦪÿ=?Ḅᙠஹ▲᪷ᦪḄឋ,k-2<0,ᑣk<2,ᡠᦋḄ!"#$%3.ᦑ⌱*A.᪷+,-ஹ▲ᑣ᪷./2<001.2⚪ὃ56ᦪḄឋ*জஹ8k>0:ᑖ<,-/ஹ=▲*8k<0:ᑖ<,-ஹ▲.ঝஹ8஽>0:ᙠ@/A▲ᑁyDxḄFᜧHIJK8k<0:ᙠ@/A▲LDxḄF

8ᜧHFᜧ.9.ூNᫀ௃Bூ1᪆௃1*•••8%>0:y=kx-2T/ஹ=ஹ▲ᦪy=£T/ஹ=▲8k<0:y=kx-2Tஹ=ஹ▲ᦪy=[Tஹ▲,•,8UVKᦑ⌱B.᪷8஽>0ஹ8k<0:W=/«-2W=XTḄ▲ὅ/ZḄᓽ%UVNᫀ.2⚪\⌕ὃ56ᦪḄឋ/^ᦪḄឋᐵ`aᵫkḄc!VdᦪᡠᙠḄ▲.10.ூNᫀ௃Aூ1᪆௃ூᑖ᪆௃2⚪ὃ56᪷Ḅᑨ0:hiᨵpA"qrḄsᦪ᪷K8k=():hiᨵpAqrḄsᦪ᪷*8A<0:hivsᦪ᪷.ᐜxyzᑨ0,ᯠᑭᵨᑨ0,hiᨵpA"qrḄsᦪ᪷.ᦑ⌱*A.11.ூNᫀ௃Dூ1᪆௃ூᑖ᪆௃2⚪ὃ56ᐰhf᪷joᦪḄᐵo*ᑘ,&a/ᐗ^hiaM+᱐+c=0(a0)Ḅp᪷:xl+x2=X1X2—ᑭᵨ᪷joᦪḄᐵoᑮX]+%2=3XX=-2,{ᑭᵨ12ᐰhfᑮ+=(%1+Xy~2%n2,ᯠᑭᵨ᦮ᐭḄhxy.2ூ1N௃1*᪷⚪+%2=3,%1%2=-2,ᡠ+%2=(xi+x2)2~2X1*2=32—2X(-2)=13.ᦑ⌱*D.12.ூNᫀ௃-1.5

9y=x—32ᣵyX2-3X-2=0,{=y-x,KpA¡Ḅ¢ᙶ᪗%aஹb,tz+h=—=3,ab=-2,11a+b3+T=----T—=—T=-1.5.abab—2ᦑNᫀ%*/15ὶ¦pᦪ1᪆fᣵy,ᑮᐵ-xḄ/ᐗ^hiᯠᑭᵨ᪷joᦪḄᐵo01ᓽ#.1ᐵ-Xஹ)Ḅᐗ/^hi§0z஻ஹ6Ḅ!ᯠᐭxyᓽ#1.2⚪ὃ56ᦪj/^ᦪḄ¡©⚪ὶ¦pᦪ1᪆fᑮᐵ-xḄ/ᐗ^hia1⚪Ḅᐵ`ᑭᵨ᪷joᦪḄᐵof01⌕"0z“ஹbḄ!«¬®.13.ூNᫀWூ1᪆௃1*•••ᦪ*1,2,3,4,5,aḄ°ᦪa3,,•,Q=3,ᑣ±§ᦪ%1,2,3,3,4,5,ᡠ±§ᦪḄᙳᦪ%1+2+3*3+4+5=6)□ᑣ±§ᦪḄh´%2x[(1-6)2+(2-6)2+2x(3-6)2+(4-6)2+(5-6)2]=|,ᦑNᫀ%*ᐜ᪷°ᦪḄᭆ¶z஻Ḅ!{0z±§ᦪḄᙳᦪᨬᑭᵨh´fxy#.2⚪\⌕ὃ5h´1⚪Ḅᐵ`a¸¹h´Ḅxyf*s2=i[(%i-x)2+(x-x)2+-+(x-2n1)2](#ᓫ»¼%“h´r-´hḄᙳᦪ”).14.ூNᫀ௃(—4,0)ᡈ(—1,0)ூ1᪆௃1:ÀÁy=-"+3jxÂஹ)Â-¡AஹB,ᑣ¡4Ḅᙶ᪗%(4,0),¡8Ḅᙶ᪗%(0,3),AB=>/OA2+OB2=5.ᑖpÃÄÅὃ⇋᝞ᡠÇ.জ8BA=BC:OC=஺4=4,•,•¡GḄᙶ᪗%(—4,0)-ঝ84B=4C:É••AB=5,OA=4,:.OC=5—4=1,•••¡C2Ḅᙶ᪗%(/1,0)..•¡CḄᙶ᪗%%(/4,0)ᡈ(-1,0),

10ᦑNᫀ%*(/4,0)ᡈ(-1,0).ᵫÀÁ1᪆f04ஹ8Ḅᙶ᪗ᵫ¡4,BḄᙶ᪗#0z48ḄÊᑖBA=BஹB4=C4ÃÄÅËÌ0ᓽ#.2⚪ὃ56/^ᦪÍ¡Ḅᙶ᪗ᱯÏஹrῪ=ÑÒḄឋÓÔdᳮᑖÖËÌa1⚪Ḅᐵ`.15.ூNᫀ௃-8ூ1᪆௃1*•./^ᦪy=/cx+bḄ×T/ஹஹ▲,■■k.<0,K,ᦪ)'DxḄFᜧHIJÙ820,-2±8-1±4ᡠä=1=—1.ூ1᪆௃(1)ᐜ᪷^᪷fḄ◀ᑣæyᯠᓄᔠèᓽ#K(2)ᐜéhiᓄ%/êf{xy᪷Ḅᑨ

111.2⚪ὃ561/ᐗ^hi-f*ë츹ᵨf1/ᐗ^hiḄ/êíîa1ï©⚪Ḅᐵ`.ðὃ56^᪷fḄñᔠæy.17.ூNᫀ௃1*òóᩚõö%x,^\AC=AD=x,AB=(x-l)m,BC=5m,ᙠRtkBC÷AB2+BC2=AC2,B[J(x-l)2+52=x2,1*x=13,N*óᩚḄõö%13ø.ூ1᪆௃᪷⚪ùzÇòóᩚõö%x,#4c=AD=x,4B=(%-l)m,BC=5m,ᙠRt)ABC÷ᑭᵨÓÔdᳮ#0zx.2⚪ὃ56ÓÔdᳮḄúᵨ1N2⚪Ḅᐵ`a᪀⌼ÀÑ=ÑÒ᪀⌼ÀÑ=ÑÒḄ■-êhþaÿᚖ
.18.ூᫀ௃(1)ᡂ☢ᡂḄx.(10-x),ᵫ⚪90ஹ⋰+85'=87,x=4,10-x=6,ᡂ☢ᡂḄ4.6,ᡂᓰ40%,☢ᡂᓰ60%,(2)2!⌱#Ḅ$ᔠᡂ&92x40%+88x60%=89.6,3!⌱#Ḅ$ᔠᡂ&84x40%+86x60%=85.2,•••89.6>87>85.2.••2!⌱#'()1!⌱#'*)3!⌱#'+)᪷-$ᔠᡂ᣸/'(/2!⌱#)'*/1!⌱#)'+/3!⌱#.ூ᪆௃(1)1ᡂ☢ᡂḄ)ᑭᵨ4ᩗ6ᙳᦪḄ9:;<)ᑡ;>?1@A)BC1Dᑖ)(2)᪷-ᡂ☢ᡂᔜᓰḄDᑖ)Gᩭ4ᩗ6ᙳᦪḄ9:;<9:12!⌱#)3!⌱#Ḅ$ᔠᡂ)I1᣸/.ὃK4ᩗ6ᙳᦪḄ9:;<)ᳮ“ᩗ”O6ᙳᦪḄPQRS⚪ḄᐵU)VW9:;<XY.19.ூᫀ௃(1)ᙠ[
y=-1+5\,,,.^=-1+5=4,,•,4(1,4),`4(1,4)aᐭy=:ᑮk=4,

12,••fghᦪḄ᪆i&y=£4(*j)klm•••8(4,1),[
y=-x+5nyopE(0,5),SMOB=S&OBE-S^AOE=2X5x4--x5x1=7.5.ூ᪆௃(1)ᑭᵨqrsᦪ{?1ntBᙶ᪗)[
y=-x+5nyopE(0,5),᪷-S-os=5-SMM9A0B£:ᓽx.|⚪ὃKfghᦪ(}hᦪḄntS⚪)⚪ḄᐵU~VWqrsᦪ<)ᵨᑖᒘ/3,•CE=BC-BE=BC-BG=2./3-(2)᝞)G8tP,BP=CG.ᙠ8P)BGC)AB=BG/.ABP=Z.BGC=90°,BP=GC•••)4BPgZkBGC(SAS),•.BC=AP=AD,Zl=z2.vZ.4=Z.24-Z.3.-••AB=BE,:.z5=z3,,•,zl+z5=z2+z3=z4,ᓽ4PAF=z4,AP=PF.

13•••PF=PB+BF=CG+BF,:.AD=BF+CG.ூ᪆௃1ᵫ“6ḄO"NC=NB4D=60஺)ᑣ¥¦[BCGᑮBCḄ¨)ᡠªCE=BC-BE=BC-BG¬2᝞)GBt®)BP=CG.᪀zᐰ+4BP^ABGCS4S,ᵫᐰ+Ḅឋµ6ḄOᑮBC=AP=AD,41=42.ᯠ·¸ᔠ+᜜Ḅឋµ᧕»/.PAF=Z4,½ijAP=PF.ᡠª¸ᔠPF=PB+BF=CG+BF,½Á஺=BF+CG.|⚪ὃKÂ6Ḅឋµஹᐰ+Ḅᑨrឋµ.᪷-ᐰ+ḄឋµῪ+ḄᑨrL4P=PF⚪ḄÆt.21.ூᫀ௃1»Ç¦t஺ÈDG1஺nACpG,᝞1•,,஺&A8Ḅt)5E&4cḄt)DG&4CBḄÌ
)1-=2144-4(2)»ÇÏÐ8E,ÑBEtÒÏÐMFஹMD.(᝞2)•••F&ECt)஺&ABt)MF//BCRMF=^BC,MD//ABS.MD=^AE,•••MF=MD,•Z-MDF=Z.MFD,•,,MD//AE,•Z.AFD=4MDF,Z,AFD=••MF//AC,•.Z.AFM=5ACB,Z-AFD=¬ZJ1CB,iᓽ:^AFD=^C¬

14(3)AC=2AE^BC,(᝞3)»ÇᙠEC\ÕÑEM=AE,ÏÐÈCHJ_BM,•,,/E=EM,AD=DB,DE"BM,AZ.AED=LAMB=Z.MHC+5MCH=90°+5MCH,•2(AED—(C=180°,Z.AED=90°+1zC,1•(MCH9i5C;5C=25MCH,᧕»BC=MC,:.AC=2AE+BC.ூ᪆௃(1)¦t஺ÈDG147nACpG,&஺&ABḄt)ᡠªE&ACḄt)ᑣ஺G&AACBḄÌ
)ᙠAOGEᑭᵨÖ×rᳮᓽx?1OEḄ¬(2)ÏÐ8E,Ñ8Et/)ÒÏÐMFஹMD.&F&ECt)஺&ABt)ᡠªMF஻BCÙMF=MD//AES.MD=^AB,ᡠªMF=MO,ᡠªNMEO=ZMDE,&MD஻AB,ᡠªN4F0=NMDE,&NMED=NMDE,ᡠªÚ1FD=&M/7/4C,ᡠª஻FM=Ú4CB,ᡠªÚ4FD=*4CB,ᓽÚ4FD='"-(3)4C=24E+BC,ᙠEC\ÕÑEM=AE,ÏÐBM,ÈCH1BM,᧕»NAED=90°+5MCH,ᵫÜxN4EO=90°+-4C,WzC=2Z.MCH,BC=MC,¸Ýx.|⚪ὃKÂ[+ḄឋµஹÖ×rᳮḄÞᵨஹᐰ+Ḅᑨrឋµªß+Ḅᑁrᳮ᜜rᳮ)⚪ḄᐵUÕÑ
á)ᔜâᐰ+)⚪ãḄƨäj.22.ூᫀ௃(1)Úåæ|Ḅᦪç&x|)ᑣᵬå2r|)éå(950-3x)|)᪷-⚪)2X2%+4%+6(950—3%)=3300ê=240,:.950—3%=230.|}ëBéåæ|230|.(2)᪷-⚪,a1(4(2)x30+(6+ì-4)x50(1-a%)+(10-6)[20(1+íê)]=260᦮ᳮᓝ(70a+1000=0

15%=50,a=20äòᔠ⚪)óô2:஺Ḅõ&50.ூ᪆௃01
᪷-ᵬÚé+åæ|ḄBöᦪçḄ÷pøùúᓽxᑡ;>?¬2
᪷-ûö-Bö*ᑭüᓽxᑡ;>?.|⚪ὃK•ᐗ(};>þᵨஹ(ᐗ*};>Ḅþᵨ)R|⚪ḄᐵU᪷-⚪ÿ
ᐵ.23.ூᫀ௃01
᝞1,@NAGKJ.BC,A஺G,BCK,1•,•A3CQ:,AD஻BC,Z-ADB=45°,GKA.AD,•5AGN=5EKN=90°,•,,)8NK
Ὺ,•BK=NK,vAD=DC=GK,AG=BK,ᙠRt)AGN^Rt)NKE,(AG=NKU/V=NE•RtAGNmRt)NKE(HL),LANG=5NEK,5ENK+5NEK=90°,Z.ANG+5ENK=90°,UNE=90°,•,,)4VE
Ὺ•.Z.MAN=45°-(2)“=DN2+BM2,ᳮᵫ᝞$᝞%)4BM&'A⌮)┐+,90஺-ᑮ)4DH,/0NH,

16.MABM^AADH•AM=AH,MAB=4DAH,/.ABM=Z.ADH,BM=DH•ABD=AADB=45°/./-ABM=Z.ADH=135°NDH=90°,vMAD=4BAD+L.MAB=MAH4-2஺4HMAH=4BAD=90°••MAN=45°,AMAN=Z.HAN=45°,34M=4H,AN=AN•••4ZMNgZkA”N(S4S)MN=NH,•,•ᙠRt^DHNNH2=D*+DH?,AMN2=DN2+BM2,(3)᝞3,5A6AKIAM,34K=AM,/0A/KஹKBஹKN,AB=^6.BD=42AB=2V3,:.MD=BD+BM=3V3Z.KAM=BAD=90°,/.Z.KAB=Z.DAM,S.AB=AD,AK=AM

17.^BAK^^DAM(iSAS),.DM=BK=3V3,5ABK=240M=45°,5NBK=45°+45°=90°,•••/.MAN=135°,4K4M=90°,•••4NAK=135°=4MAN,•••AN=AN,.^AKN^^AMN(SAS),NK=MN8ON=x,ᑣMN=3V34-x,ᙠRt^NBKᵫ:;<ᳮ-(2V3+x)2+(3V3)2=(3V3+x)2,-x=2V3•••DN=2V3ூ᪆௃>⚪@ᔠ⚪ὃCDᐰ
Ḅᑨ⚪ḄᐵT.(1)᝞1,6QRS᪀Vᐰ
᪷X"LYZRtAAGNRtANKE(HL),[\]-5ANE=9஺஺,ᡠ_AANE
Ὺ]-`ab(2)%&'4⌮)┐+,90஺-cibACH,/0NH,ᵫᐰ
ḄឋJ]-AM=/.MAB=/.DAH,Z.ABM=54DH,BM=DH,ᵫ“SAS”]Y4AMNd4AHN,]-MN=NH,ᵫ:;<ᳮ]-BM,ON,A/NefḄᦪᐵb(3)᝞3,6QRS᪀Vᐰ
YZ&B4Kh&DAMi&4KNh4jMN,>NK=MN,8ON=x,ᑣMN=3g+x,᪷X:;<ᳮᑡl]m஺NḄn.24.ூᫀ௃.(1)•.,Sy=2x+4Hxo'4,Hyo'B,71(-2,0),8(0,4).:.OA=2,OB=4,1SுABC=,OB—10-AC=5,:.OC=3,,,,C(3,0),8SBCḄ᪆pqy=kx+b,ᑣᨵ124b=0,4s=Y,5=4tS3cḄ᪆pqy=-|x+4-

18(2)vFA=FB,A(-2,0),B(0,4),AF(-l,2),8G(0,u)জPx2)'஺yᙠ5cz)5G6S{|xo5'F,Q6}SḄᚖSᚖᑖ••,FGQ:FG=QG,Z-FGQ=90°,••5MBF+(NBQ=90°,5MFB=5NGQ,•••)FMGgZkGNQ(4SZ),MG=NQ=1,FM=GN=n—2,••Q(TL-2,?i—1),••,'QᙠS=+4z4n—1=——(n—2)4-4,23•••n=—,23,,,G(0)ঝPx2)]-Q(2-un+1),

194n+1=--(2-n)4-4,,•,n=-1,,,,G(O,-1),@zᡠᩩḄ'GḄᙶ᪗q(0,)(0,-1)-1141**•—x5x4——x5x(—ߟnt+4)=—x2x4,6,,•m=-,,••h|P).••SAMḄ᪆pqy=%+1

206BE஻OCSAME,)£(,4),PCD=BE)]-BCDE,BEC஺{|]-஺ᱏ,஺)D(-1,0),,᪷X¤¥ឋ]-'Oᐵ'AḄ¤¥'4(-H0)h¦ᔠᩩ@zᡠᩩḄ'஺Ḅᙶ᪗q§,0),(-¨,0).ூ᪆௃(1)ᑭᵨ«<ᦪ]m-ᫀb(2)᪷X
ῪḄឋJ]-(—1,2),8G(0,n),ᑖ°±²³জPn>2)ঝPn<2)ᑖ¶-ᑮᫀb(3)8M(m,—1¹+4),ᑭᵨḄ☢»i¼ᐵ]-ᫀ.⚪ὃCḄ½¾ᦪḄ@ᔠ⚪¿6ÀQRSஹÁ|ᑖÂÃaÄ⚪ḄᐵT.