2022-2023学年吉林大学附中九年级（上）开学数学试卷（附答案详解）

《2022-2023学年吉林大学附中九年级（上）开学数学试卷（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
ᔡ᪍ᜧ▬
ᦪᔁ1.᝞ᵫ6ᐰḄ!"ᡂḄ$%!&ᐸ()*2.2022
2ᨴ10B19,52ᑖ&.✌0123456“ᜩ9:;”34ᘤᡂ>“ᑷ@”A12“ᣓC”.ᙠᑴGᣓCHI&34ᘤJKᙢᳫḄJK*1920000000NO.ᦪP1920000000ᵨRSᦪT⊤V*A.19.2x107B.19.2x108C.1.92x108D.1.92x1093.WXY2x+923%+2
ḄZ[A.x<3B.%<—3C.x>3D.x>—34.ᦪ4,6ᙠᦪ\Ḅ]^᝞ᡠV&ᑣaᑡᑨdWeḄ—I-----1—._I-----1_•—-2-1a01b2A.a—bD.a+b<05.᝞ᡠVḄ⊟ghijklᡂ:XῪnopABC,ᐸ48=AC^ABC=27°,BC=36cm,ᑣqAOs*(uὃᦪwxsin27°«0.45,cos27°«0.89,tan27°«0.51)()A.8.10cmB.11.22cmC.9.18cmD.16.02cm

16.yzm{0,b<0,ᑣaᑡ|e⊤V:0}ᦪy=mx+b~}ᦪy=/Ḅ8.᝞&☢oᙶ᪗&஺8ᙠx\&4BO=90஺&AḄᙶ᪗*(2,4),AAOBA⌮,┐90஺&஺ḄCាᙠy=(x>0)&ᑣkḄ*()A.12B.10C.8D.69.ᑖZYx3%2—9x=.10.z4(2,3)~B(m,-1):}ᦪḄ&ᑣm=.11.ᐵxḄ:ᐗ¢0Ik/—6x+9=0ᨵWXḄᦪ᪷&ᑣ4Ḅ¥§____.12.©ª«¬®.¯°±⌕Ḅᦪ℉´&ᐸSµ¶·᪵:⍝ᨵºḄ9⚪x“:¼½&:¼¾&ᜧ½:¿À&½À¿:.”ÁÂx“Ãᨵ100ᓛ½ាÅ100ᱏ¾&z1ᓛᜧ½|Å4ᱏ¾&4ᓛ½|Å1ᱏ¾.”ᑣᐳᨵᜧ½ᓛ.13.ÈᔠÊËGÌ&Í:Î☢Ï*32cm2,ᐸ:ÐBC*8a”Ḅ┦onopÒᱏ(᝞1),HᑐÔÕ&Öᡂ¶:×Ø◣ஹ×±ÛḄÜpBCDE(᝞2),ᑣÜpḄᕜÞ*cm.

2A14.᝞&ᙠ☢oᙶ᪗ßxO)&&ÀÐp0A8C*p.AḄᙶ᪗*(3,0).y=—2x+l~àxy=-ix+b(b*l)ApOA8CḄÐᡠáâḄãÞäX&ᑣbḄ*.15.ᐜᓄç&èéx(a+2)2-(a+l)(a-l),ᐸa=—2.16.ê:ëìíᡫïðḄ4Îxñ3,ò4,᫥5,6,ôᒴö☢÷aøᙠù☢.(1)úûüý¥:ÎðòþḄᭆ᳛
.(2)ᒕḄᵨ⊤ᡈ᪛⊤Ḅ☢ᦪᡠᨵ!"#$Ḅ%&'(Ḅ☢ᦪ)*ᜧ,9Ḅᭆ᳛.17.ᵨ./ᜐᳮᦪ23■5ᦪ2#┯7Ẇ9:;᣸=>?@AᕒᔜDᐭFGHIJḄDᐭ
ᔲL.JᔜDᐭ2000Iᦪ2MNᵬḄDᐭPQ
RḄ2S%&ᵬGRTᵨ4IUVDW(RXᑖZ"Dᐭ[TIᦪ2\18.᝞ᙠ_`abcA8C஺eE,fᑖgᙠBC,hED=BF,ijAfCE,AC,EF,h4ckEFlm,e0.(1)(noabcAFCE
_`abc.(2)pAC_ᑖNF4E,AC=8,tan^DAC=ᑣabc4FCEḄ☢s
.19.᝞ᙠ6x6tucvXIUtucḄ⚔ex3eAABCḄ⚔eᙳᙠez.ᢥ⌕(Wᡂᑡ.(⌕(oᵨQᶇ⌕Ḅᑏ)(1)ᙠ1Ḅ8cbze£>,i%AQ,SMBD=SMCD,(2)ᙠ2Ḅ8CbzeE,i%AE,AE1BC.

3(3)ᙠ3ḄBCbzei%AF,eFᑮAB*ACᡠᙠḄl.20.ூ¡⚪£᛻௃ᦪ¦§¨©zὁ«¬⚞®¦¯°±“ᑭᵨ᪛´Ḅᱯ¶·᪛ᩈ¹`ᑖº”Ḅ¼½§¨.ூ¼½¾$௃®¦¯ᦈÀ⁤&᪛ஹ₢Ä᪛Ḅ᪛´ᔜ10ᱏÇÈÉÊËᑮÌÍ᪛´ḄÎy(ᓫ=oczn),Ôx(ᓫ=ocm)Ḅᦪ2×ᑖg./ÎÔG᦮ᳮᦪ2᝞o12345678910⁤&᪛´ḄÎ3.83.73.53.43.84.03.64.03.64.0ÔG₢Ä᪛´ḄÎ2.02.02.02.41.81.91.82.01.31.9ÔGூ¼½Ù9௃ᑖ᪆ᦪ2᝞:_ᙳᦪ=ᦪâᦪuã⁤&᪛´ḄÎÔ3.74m4.00.0424G₢Ä᪛´ḄÎÔ1.911.95n0.0669Gூ¡⚪äå௃(1)zæ⊤om—,n=.(2)জA®¦éo“᪛´ḄÎÔGḄuãᩭëᡃí3⁤&᪛´Ḅcãgᜧ.”ঝB®¦éo“᪛´ḄÎÔGḄ_ᙳᦪஹ=ᦪ*âᦪᩭëᡃ¾$₢Ä᪛´ḄÎï3ÔḄS.”z☢=®¦ḄéᔠᳮḄ
(ñ?ò)ó(3)$ᨵᱏÎ11c”?Ô2.9cmḄ᪛´ᑨöÌᱏ᪛´÷!"ᩭø,⁤&ஹ₢ÄḄùú᪛\'û#üḄᳮᵫ.

4ATi21.M,Nᙢl250km.ᵬஹRÿ
ᩩMᙢᑮNᙢᵬ1᝞ᑖ⊤஻ᙢḄy(km)x(/i)Ḅᐵ!᪷#$%ᡂ'ᑡ)⚪+(1),8Ḅᙶ᪗/.(2)1$234CDᡠᙠ73⊤Ḅy(ᓟ:)x()Ḅ<ᦪ>᪆@.(3)ᙠᵬᑮAB,C7DᑏᵬFGHᵬஹJK20km.22.ᙠLᔠNOPQὁST
UVW“YZḄᢚ\”^_⚪`aᦪUbc.(1)deᑨgde+hᢚYZiᱏABC஺l4mBCnᔠoᑮᢚpEqriᱏastdeu+ᙠA஺Q⌱,w8wᢚ\l,AxᙠYZᑁz,Mᜐriᱏas|DPM,BM.᪷#WQde},ᔊᙠEwQEMB=(2)YZiᱏᣚᡂZiᱏ᝞'+ZiᱏABCOᢥ᯿(1)2Ḅ@dePM8,Q,|DBQ.জ᝞2,},MᙠEFQMBQ=஺Z.CBQ=஺tঝᦋ,PᙠAOQḄ(,P,A஺nᔠ)᝞3,ᑨgZMBQNCBQḄᦪᐵ!ᳮᵫ.(3)a¡ᵨ(2)2Ḅ᝞3,},஺ᙠCFQ£¤ZiᱏABCZ)Ḅ¥^8cFQ=3cmᑣAPḄ/cm.

5,AB=10,BC=6,஺/ACḄ2,.c,P,A45W¨©5ªᓫḄ¬ᔣ,B¯c|DPD,PDஹ8^°¥eQCDPM.±,PḄ¯c^t(©).(1)4CḄ/.(2)}AABCḄ²¥ᚖ71fḄ´.(3)}nCDPM/µh¶Z1fḄ´.(4)e,Aᐵ73w஺Ḅh¶,4.}PA4BCḄ·ᩩ7¸¥ᚖ77DᑏfḄ´.24.ᙠs☢7¸ᙶ᪗!xOy2£¤YZOABC,ᐸ2,4(5,0),B(5,4),C(0,4).»᝞'¼½:¿,Pᐵ73/+x=tḄh¶,P'ᙠYZOABCḄᑁzᡈ¥Qᑣ¶,P^YZO4BCᐵ73/Ḅ“ᐵὶ,”.

6y465432Pi18-7-6-5-4-3-2-[1OI2345678]j-2-x=-1
2H7665544337-IiiiiA]iiO12345678-8-7-6-5-4-3-2-[l]Pl2345678x=-1ᜓᵨ
Ã᝞12Ḅ,஺,EÆ/YZOABCᐵ73/+x=3Ḅ“ᐵὶ,”.(1)ᙠ,R(-2,1),P(-3,3),P3(2,2),3(4,2)2,/YZ஺4BCᐵ73/+%=-1"ᐵ2ὶ,”Ḅ,/:(2)᝞3,,P(—3,3)/YZ஺43஺ᐵ73/+x=tḄ“ᐵὶ,”ØA04P'/ÛῪݸZ1rḄ´.(3)¿ᙠ73y=+bQâᙠ,Q,lo,Q/YZOABCᐵ73/+%=1Ḅ“ᐵὶ,”ä7DᑏᓃḄæ´è.(4)¿ᙠ73é=2ᑐ+6Qâᙠ,ᵨ,lo,஻/YZ048(7ᐵ73/+%=1Ḅ“ᐵὶ,”ä7DᑏḄæ´è.

7íᫀï>᪆I.ூíᫀ௃Bூ>᪆௃>+Q☢óô᣸/ݪZôu᣸ö¥/ªZᦑ⌱+B.᪷#Q☢óoᑮḄZ/øù#úûoíᫀ.ü⚪ὃþÿᓫᔠḄ☢ᑮḄ.2.ூᫀ௃Dூ᪆௃:1920000000=1.92X109,ᦑ⌱%D.&'(ᦪ*Ḅ⊤,-.axlO71Ḅ-ᐸ51-6<10,".᦮ᦪ.:;஻Ḅ=>⌕@AᦪBᡂ“>EᦪFGHIJKL஻ḄMN=OEᦪFGHḄLᦪP6.QAᦪMN=210>஻R᦮ᦪSQAᦪḄMN=<1>”U᦮ᦪ.VWᓽY.W⚪ὃ\&'(ᦪ*Ḅ⊤,]*.&'(ᦪ*Ḅ⊤,-.ax10nḄ-ᐸ51<|«|<10,n.᦮ᦪ⊤,>ᐵb⌕:;஺Ḅ=de஻Ḅ=.3.ூᫀ௃Aூ᪆௃%2x+923஺+2),2%4-9>3%+6,2x—3%>6—9,-x>-3,%<3,ᦑ⌱%A.ᢥ᯿rᐗrtuv-Ḅwxyz{|ᓽY.}⚪ὃ\Irᐗrtuv-~rᐗrtuv-Ḅwx⚪Ḅᐵb.4.ூᫀ௃Dூ᪆௃%᪷VᦪY%rlVQVOVlVb,A⚪aVb,ᦑR:SB⚪|a|V|b|,ᦑR:SC%⚪-Q>-b,ᦑR:SD⚪a+bvO,ᦑ┯.

8ᦑ⌱%D.✌ᐜᑭᵨᦪḄYd:;]ḄRUឋᯠᑭᵨuv-ḄឋᓽY.W⚪W⚪⌕ὃ\IᦪOᦪḄNᐵ¡ᐸ5MN=RᦪḄᦪᨵ2£.⚪ᐵbᦪ¤FḄ¥¦§¨ᜧḄᦪª«¨EḄᦪᓽY.5.ூᫀ௃Cூ᪆௃%TAB=AC,AD1BC,BC=36cm,1BD=-BC=18cm.2ᙠRtMBO5Anvtan/ZBC=—,Z-ABC=27°,BD•.AD=tan4BCxBDx0.51x18=9.18(cm).ᦑ⌱%C.ᐜᑭᵨvῪ¯Ḅឋ°BD,±ᑭᵨ²¯¯Ḅ³¯ᐵ¡°AD}⚪ὃ\I²¯¯“vῪ¯Ḅ´ᔠr”e²¯¯Ḅ³¯ᐵ¡µ}⚪Ḅᐵb.6.ூᫀ௃Dூ᪆௃%4⌱⚗5᪷Vrt·ᦪ¸Ym>0,b<0,•••º»¼·ᦪ½¾rஹ¸▲ᦑA⌱⚗uÁᔠ⚪SB⌱⚗5᪷Vrt·ᦪ¸Ym<0,b<0,º»¼·ᦪ½¾Âஹø▲ᦑB⌱⚗uÁᔠ⚪SC⌱⚗5᪷Vrt·ᦪ¸Ym<0,b>0,OÄb<0PÅÆ.ᦑC⌱⚗Áᔠ⚪S஺⌱⚗5᪷Vrt·ᦪ¸Ym>0,b>0,•••º»¼·ᦪ½¾rஹ¸▲ᦑ஺⌱⚗Áᔠ⚪Sᦑ⌱%D.᪷Vrt·ᦪḄ¸:;mÇbḄÁÈyrw:;º»¼·ᦪḄ¸ᓽY.}⚪ὃ\Iº»¼·ᦪOrt·ᦪḄ¸~º»¼·ᦪOrt·ᦪḄ¸OÉᦪḄᐵ¡

9⚪Ḅᐵb.7.ூᫀ௃Dூ᪆௃%Ê⌕ᙠ8c³ËrFÌ=ᑣFDδÏABᚖ²Ñᑖ´OBCḄÓFᦑ⌱%D.᪷V“⌕ᙠ8c³ËrF஺Ì4஺=BC”F஺δÏA3ᚖ²Ñᑖ´O8cḄÓFVWᓽY.}⚪⌕ὃ\Ô-Õ}Ô⚪Ḅᐵb´Ïᚖ²Ñᑖ´ḄÖ×ÔÇឋ.8.ூᫀ௃Aூ᪆௃%•••FAḄᙶ᪗.(2,4).RtÚ4஺8ÛFA⌮>┐Þß90஺.♦•08+40=6,AB-CD=2,ᦑ஺(6,2),àC(6,2)áᐭy=%(x>0)5k=6x2=12.ᦑ⌱%A.ᵫ4(2,4)YB஺=2,AB=4,ᵫÞßḄឋY4஺=AB=4,CD=B0=2,A04BÞß90஺Y4D஻xCDlx᪷V´ÏḄäåCFᙶ᪗±᝕Ḅ=.}⚪ὃ\Iº»¼·ᦪᐵ¡-Ḅ*ÞßḄឋ.ᐵbç¾Þß:;èé´FḄᙶ᪗.9.ூᫀ௃3x(x-3)ூ᪆௃%3x2-9x=3x(x-3).ᦑᫀ.%3x(x-3).²êëìíî-3x,yïᑖî-ᓽY.W⚪⌕ὃ\Iëìíî-*ᑖî-R:Ë°íî-⚪ᐵb.10.ூᫀ௃-6ூ᪆௃%••4(2,3)Ç6r£º»¼·ᦪ¸Ḅ¤£F:,-m=2x3,•••m=-6.ᦑᫀ.%-6.᪷Vº»¼·ᦪ¸FḄᙶ᪗ᱯñᑮ-6=2x3,ᯠᐵòmḄ]óᓽY.}⚪ὃ\Iº»¼·ᦪ¸FḄᙶ᪗ᱯñ%º»¼·ᦪy='()*ᦪ,k*0)Ḅ¸èé´,¸ḄF®y)Ḅõöᙶ᪗Ḅ÷;=k,ᓽxy=k.

1011.ூᫀ௃ø<1ù4ú0ூ᪆௃%••ᐵòXḄrᐗÂt]ók%2—6x+9=0ᨵ¤£uPvḄᦪ᪷:.k.Q,ù^=b2—4ac=36—36/c>0,k<1ùk.0.ᦑᫀ.k<10k.0.î.ᐵòxḄrᐗÂt]ó2-6x+9=0ᨵ¤£uPvḄᦪ᪷ᡠk404=b2-4ac>0,ᐵḄkḄᓽ.⚪ὃ"#$ᐗ&'()᪷Ḅᑨ,Ḅ-ᵨ.ᑗ0⌕2ᶍ$ᐗ&'()&'⚗5ᦪ789$◚;ᩩ=.>?@$ᐗ&'()᪷ḄABCᑨ,DḄᐵ5@(1)D>00()ᨵIJKḄLᦪ᪷M(2)D=0o()ᨵIJKḄLᦪ᪷M(3)D<0o()RᨵLᦪ᪷.12.ூTᫀ௃20ூ᪆௃@Xᐳᨵᜧ[xᓛ^[yᓛ(x+y=100`⚪a:[d+]=ioo34:@ᘤᓽᐳᨵᜧ[20ᓛ.ᦑTᫀ7@20.Xᐳᨵᜧ[xᓛ^[>ᓛᵫ⚪a@kᨵ100ᓛ[ាmn100ᱏpqr1ᓛᜧ[sn4ᱏp,4ᓛ^[sn1ᱏp.”ᑡv&ᐗ$'()()ᓽ.⚪ὃ"#&ᐗ$'()Ḅ-ᵨwᦪxyz{|}ᐵ5~ᑡv&ᐗ$'()⚪Ḅᐵ.13.ூTᫀ௃24ூ᪆௃@ATBCP,BC
2

11•••APA.BC,ஹBCTP=32,2-x8xAP-32,2•AP=8,ᵫ⚪aAT=PT=4(cm),•.BE=CD=PT=4(cm),••DE=BC=8cm,•.BCDEḄᕜ78+84-4+4=24(cm).ᦑTᫀ7@24.AT3CP,ᑭᵨḄ☢vAP,vBE,CD,DE,?.⚪ὃ"ḄḄឋ⚪Ḅᐵ¡¢£ὃyὃ⚪¤.14.ூTᫀ௃1ூ᪆௃@X¥¦ᓃ@y=—4-1¨¥¦%@y=—+b(b஺1)«~(048cḄ¬ᡠ®Ḅ¦¯ᑖ,7ᡠஹMN,᪷±⚪a0E=BN,0F=BM²ஹI¥¦«~(0A8஺Ḅ¬ᡠ®Ḅ¦¯³Kv0E=2,OF=1,•••BN=2,BM=1,N(1,3),´ᐭy=—1%+ᓃ3=—[xi+ᓃ:.b=-f2ᦑTᫀ7@X¥¦k@y=-@x+l¨¥¦¶@y=+1)«~(OABCḄ¬ᡠ®Ḅ¦¯ᑖ,7EFஹMN,᪷±⚪a0E=BN,OF=BM²I¥¦«~(஺ABCḄ¬ᡠ®Ḅ¦¯³K±·ᓽMᡈNḄᙶ᪗´ᐭ»=-3½+ᓃᓽ஻Ḅ.⚪ὃ"#$'¿ᦪÀḄᙶ᪗ᱯÂ~(ḄឋsÃÄ⚪a⚪Ḅᐵ.15.ூTᫀ௃@Å=M+4஺+4-(M-1)=Q2+4Q+4—Q2+1=4a+5,Æa=-2²Å=4x(-2)+5=-3.

12ூ᪆௃ᐜÈÉÊËᔠÍÎÏ⚗ᨬ´ᐭvᓽ.⚪ὃ"#᦮ḄÒᔠÓȨḄ-ᵨÔ⌕ὃ"xÕḄÖȨᓄØsÙ⚪ÚÛÜmݳ〉£.16.ூTᫀ௃M4ூ᪆௃@(1)ߣàáâ$ãäåæḄᭆ᳛éᦑTᫀ7@:M(2)ê᪛ì᝞@3456ZN/1\/N/T\4563563463457897910891191011ᐳᨵ12JsḄ?îâḄIãää☢ᦪïð¨ᜧ9Ḅ?îᨵ4J••âḄIãää☢ᦪïð¨ᜧ9Ḅᭆ᳛7A=(1)¥ñᵫᭆ᳛ᓽM(2)ê᪛ìòóᡠᨵ12ôsḄ?îᦪË{võᔠᩩ=Ḅ?îᦪᯠ᪷±ᭆ᳛ᓽ.⚪ὃ"Ḅᵨ᪛ìÊᭆ᳛.᪛ìÊ÷ø⍡úḄᑡvᡠᨵsḄ?î〉ᔠIûᡈIûÀüᡂḄþ=.ᵨᑮḄ
ᭆ᳛=ᡠᦪᦪ.17.ூᫀ௃ᐭxᦪ!"᪷!⚪%&--—=4.x2x&%=250,+,-"x=250./01Ḅ"23ᔠ⚪%.250+60="6ᑖ6ᐭ0ᦪ!.ூ᪆௃ᐭxᦪ!"ᵫ⚪%9:ᔜᐭ2000ᦪ!"<
ᵬḄᐭ>?.Ḅ2@"ABᵬCᵨ4E"ᑡGᑖH01"01"ᓽJKL⚪.M⚪ὃOPᑖH01ḄQᵨ"RSTUᐵW"XYᑡGᑖH01.⚪ḄᐵZ.18.ூᫀ௃16

13ூ᪆௃(1)\]••ᙠ`abcdABC஺f,AD=BC.AE//FC,••ED-BF,/.AD-ED=BC—BF,:,AE=FC,bcdAFCE.`abcdh(2)•/£//kC,:.Z.EAC=Z.ACF,:.Z-EAC=Z-FACi:.Z-ACF=Z.FAC,:,AF=FC,•bcdAFCE.`abcd"•••`abcdAFCE.ld"•A0--AC=4,AC1EF,2ᙠRM/OEf"AO=4,tanZ-DAC=:.EO=2,iSுAEO~y"஺,E஺=4,S56=4smnEO=16"ᦑᫀ16.(1)᪷!`abcdឋq&GAD=8C.4E஻FC,᪷!TUsTUtuT"&GAE=FC,vw\]bcd4FCE.`abcdh(2)ᐜ\]`abcdAFCE.ld"᪷!yz{ᦪGE஺=3,GSUE஺="஺/஺=4,vwGbcdAkCEḄ☢~.M⚪ὃOPzyzdஹ`abcdḄᑨឋqஹldḄᑨឋq"
ḄᔠQᵨ.⚪ᐵZ.19.ூᫀ௃(1)᝞1,஺ᓽᡠ.(2)᝞2,Eᓽᡠ.

14ூ᪆௃(1)ᑭᵨRᑮ8cḄf"ᓽᡠḄD(2)M,AM,7BC89:E,ᑣEᓽᡠ.(3)N,CMAN,ᑣAZCNTῪyzd"¢ᑭᵨCNḄfP,AP,BCc¥¦F,ᑣkᓽᡠ.M⚪ὃO¨-Qᵨ©¨ஹz`ᑖḄឋqஹª«ᳮஹTῪyzdḄឋq"®¯ᑭᵨᦪdAᔠ°±KL⚪.M⚪ḄᐵZ.20.ூᫀ௃3.752.0ঝூ᪆௃(1)¶10ᱏ⁤B᪛ºḄ»¼vᑮᜧ᣸ᑡ"᣸ᙠf¿Ḅ9ᦪᑖÀ3.7ஹ3.8,ᦑ10ᱏ₢Â᪛ºḄ»¼fGÃÄᦪᨬÆḄ.2.0,ᦑn=2.0hᦑᫀ3.75h2.0h(2)•••0.0424<0.0669,•••⁤B᪛ºḄdÌtÀ"ᦑAÍ®ÎÏÐᔠᳮh•••₢Â᪛ºḄ»¼Ḅ`ᙳᦪ1.91,fÒᦪ.1.95,Óᦪ.2.0,•••8Í®ÎÏᔠᳮ.ᦑᫀঝh(3)•••Ôᱏ»11ᓽ,¼2.9cmḄ᪛º"»¼Ö3.8,ᱏ᪛º×JᩭÙ⁤B.(1)᪷!fÒᦪÚÓᦪḄÛᓽJh(2)᪷!⚪ÜÝGḄᦪ!ᑨÞᓽJh(3)᪷!᪛ºḄ»¼ᑨÞᓽJ.M⚪ὃOPÓᦪ"fÒᦪ"`ᙳᦪÚ0t"uᐵÛ.M⚪ḄᐵZ.21.ூᫀ௃(1,0)ூ᪆௃(I)ஹ•ᵬஹ9àáÍÔᩩãvMᙢᑮNᙢ"ᵬåGæ1,•••BḄᙶ᪗(1,0)h

15ᦑᫀ(1,0)h(2)CDᡠᙠḄ᪆Hy=kx+b(k.0),éc"ᙶ᪗êᐭ&ëìí*&ïð0"•••ñfCQᡠᙠ⊤óḄ>ᑗ?¿x/7¿Ḅ{ᦪ᪆Hy=80x-110(2.5(3)ᑖ@:(AMᙢḄA)ᑗ?DEX6FEḄ;ᦪᐵ7=H8cIᡠᙠ0JḄ;ᦪ᪆=,LᑖMNᑡPQ:xḄR.T⚪ὃVWX;ᦪḄYᵨ⚪ᐵZ[\]567ᦪ9\]WX;ᦪDPQḄᐵ7.22.ூ_ᫀ௃301515”

16ூ᪆௃(1)••cᢚefgᱏABCQ,•••AE=BE=-AB,/-AEF=
BEF=90°,2••jBPᢚkl,Amᙠefᑁo,Mᜐ••AB=BM,Z,ABP=
PBM,sin
BME=—=BM2•Z-EMB=30°,•
ABM=60°,(CBM=Z.ABP=
PBM=30°,ᦑ_ᫀr30(2)জᵫ(1)>t=30°,••uvfA3CD[wPf•AB=BC,
BAD=4஺=90°,ᵫᢚk>AB=BM,Z,BAD=Z.BMP=90°,,•
BM=BC,Z.BMQ==90°,z••BQ=BQ,Rt=BCQ=Rt^BMQ(HL),:.Z.CBQ=
MBQ=15°,ᦑ_ᫀr15,15ঝ23
MBQ=(CBQ.ᳮᵫ•,uvf48co[wPf•AB=BC,
BAD=ZC=90°,ᵫᢚk>AB=BM,LBAD=Z.BMP=90°,•BM=BC,(BMQ=ZC=90°,BQ=BQ,Rt=BCQ}Rt~BMQ(HL),•
CBQ=
MBQ>(3)ᵫᢚkḄឋ>஺=CF=4CM,AP=PM,•,Rt=BCQ}Rt~BMQ,CQ=MQ,,QᙠJI஺%.PQ=3cm,

17•MQ=CQ=1cm,DQ=7cm,•:PQ2=PD?+DQ'?,Q4P+l)2=(8-4P)2+72,56••AP=—cm.(1)ᵫᢚkḄឋ>ZE=BE=^AB,Z.AEF=BEF=90஺AB=BM,4ABP=NPBM,ᵫ┦};ᦪ>:NEMB=30°,ᓽ>:(2)জᵫ“HL”>Rt~BCQ}Rt~BMQ,>4CBQ=MBQ=15"ঝᵫ“HL”>Rt~BCQ}Rt~BMQ,>NCBQ=MBQ>(3)ᵫᢚkḄឋH6ᳮ>:.T⚪[uvf$ᔠ⚪ὃVefḄឋwPfḄឋᢚkḄឋᐰ}fḄᑨ6Hឋᮣᵨឋ⚪[⚪ḄᐵZ.23.ூ_ᫀ௃8ூ᪆௃1
ᙠRtAABC/.ACB=90°,AB=10,BC=6,AC=\IAB2-BC2=V102-62=8,ᦑ_ᫀr81•••D[4CḄ,:.AD=DC=4,vZ.A=Z.A,Z-APD=ACB=90°,APD^LACB,APAD••W=W,ACABAP_4"8~=104n16***AP=g,16:.t=W;25

18(3)᝞2PD_L/CuvfPOCM[efᩩ.
2vPD//CB,AD=DC,AP=PB=5,t—1(4)᝞3—1P4_L4C'PAC,J,1ZL4',
3-1vPA=PA'=53DA=DA'=4,AAJ=4t,PJ—3t,:.AfJ=8t,ᙠ(8t)2+(4-4t)2=42,t=a
3-2vPA!11AC,

19Z.ADP=Z.A'PD,vZ-APD=4'PO,Z.APD=Z-ADP,•AP=AD=4,4.•t=᝞3-3PA'J.4c,஺¡஺KJ.4P,¢P4'4C,/.B
3—3^APD=Z.DPA',DKVAP,DJ1PA',DK=DJ,SAAPD_¥_P4_5S^PDJ-DJߟ^PJDJP/W345——,DJ332AJ=AD+DJ=AP=—=8,C0Si4t=l,$%ᡠ'ᩩḄfḄRr|ᡈ§%.(1)ᑭᵨ6ᳮ:ᓽ>(2)ᑭᵨª}fḄឋ:(3)᝞2PD171CuvfPDCM[efᩩ.(4)ᑖ}«Mf᝞3-1P4_L4CAP4c,J,1ZM',᝞3-2PA'LBC᝞3-3PA'IAC,஺¡஺KJ.AP,¢R4'AC,/.ᑖ@¬f:ᓽ>.T⚪uvf$ᔠ⚪ὃV®¯}fḄឋ°c±fḄឋ0}fª}

20fḄᑨ6Hឋt²⚪ḄᐵZ[³´ᵨᑖµ¶3Ḅ·¸·ὃ⚪ὃ¹ὃ⚪º.24.ூ_ᫀ௃Pi?P2ூ᪆௃(l)Pi(-2,l)ᐵx=-1Ḅc±,r(0,1),»,ᙠJI஺C%•••B(—2,1)[ef048cᐵ0JZx=-1"ᐵὶ,”22(-3,3)ᐵ¿=-1Ḅc±,r(1,3),»,ᙠef0ABeᑁo22(-3,3)[ef0A8Cᐵ0J/x=—1“ᐵὶ,”23(2,2)ᐵx=-1Ḅc±,r(—4,2),»,ᙠef0A8Cᑁoᡈv%••.P3(2,2)[ef0ABeᐵ0J/%=-1"ᐵὶ,”-4,-2)ᐵx=-1Ḅc±,r(2,-2)»,ᙠef0ABeᑁoᡈv%,•••4(-4,-2)[ef045஺ᐵ0J/%=-1"ᐵὶ,”$%ᡠ'Pi?P2[ef048cᐵ0J/%=-1"ᐵὶ,”ᦑ_ᫀrP],02(2).•,P(—3,3)[ef஺48(7ᐵ0J/x=tḄ“ᐵὶ,”P'(2t+3,3),0<2t+3<5,—!0P'=j9+(2t+3)2,஺=P'ElÂ5=V(2t-2)2+9,t=3(Ã)ᡈt=-1஺4=OP'5=9+(2t+3)2,t=|ᡈt=_/Ã)4P'=OP'J(2t-2+9=J9+(2)+3Å,y-4$%ᡠ'ḄRr-1ᡈ;ᡈ-324(3)ᙠ0Jy=1x+b%ÆÇÈ,(0,b),(-26,0),•••,ᐵ0Jx=1Ḅc±,r(W2,ᓃ)(-24-2b,0),¢0Jy=|x+bᐵ0Jx=1c±Ḅ0J᪆=ry=kx+m,(-2k4-m=bA((-2+2h)fc+m=0,!7,Im=/?—1

21■-y=--x+b-i,0JË,(5,4)b=^0JË,(0,0)b=l,•••1:(2)ᵫ6Ï:P'(2t+3,3),Lᵫ0M2t+3<5,:W᪷Ñ⚪>04=5,AP'=J(2t-2)2+9,OP'=79+(2t+3)2,ᑖ}«MN¶340=4P't=W1஺4=0P't=~>4P'=OP't=W¿24(3)ᙠ0Jy=+b%ÆÇÈ,(0,b),(—2b,0),L:,ᐵ0Jx=1Ḅc±,r(W2/)(-2+2b,0),Lᵫ567ᦪ9:0Jy=1x+bᐵ0Jx=1c±Ḅ0J᪆=ry=-1%+6-1,0JË,(5,4)b=y,0JË,(0,0)b=l,ᓽ>:1WbWÓ(4)ᙠ0Jy=—2x+6%ÆÇÈ,(0,6),(3,0),L,ᐵ0Jx=1Ḅc±,r(2t,6),(2t-3,0),ᵫ567ᦪ9:0Jy=-2%+6ᐵ0JÌ=tc±Ḅ0J᪆=ry=2%+6-4t,0JË,(5,4)t=3,0JË,(0,0)t=|,ᓽ>:|wtW3.T⚪ὃVWX;ᦪḄÔÕឋÖ×\]WX;ᦪḄÔÕឋᳮ6Ï´:,ᐵ0JḄc±,ᙶ᪗[⚪ḄᐵZ.