2022-2023学年北京市某中学九年级上学期数学期中考试测试卷含详解

《2022-2023学年北京市某中学九年级上学期数学期中考试测试卷含详解》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。

ᓅ
ᓝ2022-2023ᦪᔁ⚗:1.ᔁᐳ⚓ᐳ28⍝⚪ᑖ100ᑖ.ὃ#$120ᑖ%.2.ᙠ'⚪ᓱ)ᢣ+,-./ᩩ1ṹᡈ45ὃ6.3.⚪'ᫀ845ᡈ9ᑏᙠ'⚪ᓱ)ᙠᔁ);'<ᦔ.4.ᙠ'⚪ᓱ)⌱?⚪ᵨ25AB;'ᐸD⚪ᵨE⁐GHIGB;'.5.'⚪JKLᵨMN5ᦋPᐹ.ஹ⌱?⚪ST⚪ᐳ20ᑖU⚪2ᑖV1.Yᑡᐵ\■“`abc”Ḅ᪗ghijklm1nioklm1ḄiTV2.qᱥst=Tv2V2-3Ḅ⚔zᙶ᪗iTVAT-2,3VB.T-2,-3VC.T2,3VD,T2,-3V3.ᐗP23%+4=0Ḅ᪷ḄiTVA.ᨵJḄᦪ᪷B.ᨵḄᦪ᪷C.ᨵᦪ᪷D.<ᑨ4.T1V1"2x=3iᐵ\xḄᐗᑣmḄTV.A.IB.-1C.±1D.J¡ᙠ5.zAT0,yV,3T5,%Vᙠ¤ᦪy=4x+lḄm¦),§¨ḄᜧᐵªiTVA.«>>2B.=%c.X<>2D.<±²6.᝞mqᱥsy=o?+bx+c§xj¸\zT-1,0V,kljx=l,ᑣYᑡ¹º»¼ḄiTV.

1B.c<0C.½x>l#y¾XḄ¿ᜧÀ¿ᜧD.x=3iᐗÁ2+Â+0=0Ḅ᪷7.JÄÅḄÆÇÈᨵᳫ)☢ᑖËᑏḼ“1”“2"◀ᦪG᜜ᳫ<ᐸDÏË.оÑ᥎ÓᳫÔÕᐸᦪGÖ×Ø᤯ᒴÛоÑ᥎ÓᳫÔÕᐸᦪGÜÝÔÕḄᦪGÞß3Ḅᭆ᳛iTV48.᝞mãsy=-§X+4§xjyjᑖ˸\A,8åAAOBçzAè#┐êë90°îKᑮAACD,ᑣz஺Ḅᙶ᪗iTV9.᝞mᙠ»1ñòAMPNᑮMPN,ᑣêëoóôiTV

2Az4B.zBC.zCD.zD10.ᐗ(x-l)(÷-2)=Â<0)Ḅ᪷ᑖËa,஻ú஺<ûᑣ()A.a<\<2?@AB⁚?ஹEFGᩭGIJKὅM᰿ᔜPQRḄ>?@ABSTᢗVWXᡃZ>?@AB[\]├_`ᐰᳫc2018]ef>?@B├_`%15gh├_`⌲]jkᑮ2020]├_`%21.6ghᑣmf>?@ABḄ]nᙳjp᳛16.᝞s%eᦪḄtᑖ,ᨵ᝞svwxyজ{ᦪ⊤}6%y='x2—x+9-4ঝ#ᙠmᦪᑣ஻ுkঞᦪxḄ#%(-4,0)

3ট:0cx<6=m<^<8ᡠᨵwxḄ.17.᫑ᡃZὁḄᦻᓄ⍡.᝞eᱥḄ᫑¡¢£ᱥḄ1,ᦪ⊤}6%y=+10,%F¤᫑Ḅ¥ᐰᙠᱥ¦§☢AB«%8¬Ḅ#40EஹFᜐ⌕¥°±²³´ᑣm±²´Ḅ§n¦µEF=.18.·eᦪ¸¹᝞sº»y᝞¼½ᙠ¾ᦪ·¿À¡Ḅᦪy,ÁÂÃy

4(3)x(2x—5)=4x—10(4)(x-6>=9/20.¢£k-ÙV+x—5=oḄ᪷ßàᦪ6(k+1)2+(á+2)(k2)Ḅ.21.â£yᦪ^=Gä+"+"஺ç0)ËḄxèyÂÃs⊤yX012345y-3m10-3n(1)᪷é⊤êmᦪḄ·Æ%,m=(2)ß¹mᦪḄÓ᪆6Ñì஻Ḅ.22.ᙠsᑡîêË×Î-5Ḅïpᙳ%1ᓫñᙠRtZvWCËNC=90°,AC=3,BC=4.(1)øᙠËù¹AABCÑA%úûËüýþ=┐ᔣ90஺Ḅ4Aa(2)BḄᙶ᪗(-3,5),ᙠ!"#ᙶ᪗$%ᑣ4ᙶ᪗,Cᙶ᪗.(3)G)Cᐵ,-Ḅ./%ᑣcḄᙶ᪗.223.23ᐵ,xḄ5/-7¥+2:;4=0.(1)>?@AB“DEFGᦪI%J5KᨵMNGᦪ᪷(2)᝞QJ5ḄMNGᦪ᪷ᙳST%>mḄᨬWXYZ.24.[3\]^ᦪy=f-4%+3.

5b1c\]^ᦪc=%2;4%+3dḄ⚔ᙶ᪗;XhḄMiAஹB,kAᙠBḄlm%ᑣAᙶ᪗,8ᙶ᪗b2cᙠo☢"#ᙶ᪗$xOy%!J\]^ᦪḄdb3crᱥtuᨵ;v%wxyᑴḄ☢{3,ᑣvḄᙶ᪗.25.᝞%஺)|}~#ABCᑁ;%tAOAI┐60஺%xᑮtAE,CD,BE,b1c>?@NAEB=/4DCb2cQE,NAQC=105஺%>NBEQḄᦪ.26.o☢"#ᙶ᪗$xOy%23rᱥty=Y-+஻.b1czn=2I,জrᱥtḄ./h"t,⚔Ḅᙶ᪗bᵨ஻Ḅᦪ⊤cঝ4b—2,yc,3bᜩ%cᙠrᱥtu%kுX%ᑣ4ḄDZ¢#$2%[3Pb—1,2c,Pᔣ¤o¥4Nᓫ§¨%xᑮQ.஻=3I%rᱥt

6tPQាᨵ;Nªᐳ%¬ᔠ^ᦪ®%>%஻ḄDZ¢.27.°}A8CO)±%tCOC⌮I┐2a(0°:ḄDZ¢.(2)à஺(3,4)ᙊâ%ãä1¶ᙊ%ᙠrᱥty=࠷2-5ax+4(“k0)uÞᙠ஺஺Ḅ⌚ÔḄᱯ×%"ᑏ!஺ḄDZ¢__________________.5.4-3-2-1.111111tli1»-2é.12345678x-2•

7ᓅëᓝ°2022-2023íîÂ;íïïðñò~ᦪíñᔁஹ⌱⚪⚪ᐳ20ᑖ⚪2ᑖ1.Çᑡᐵ,■“ö÷øù”Ḅ᪗ûü)h./%ý)â./Ḅ)bcA.©ᡚÿ
ᨵூᫀ௃Cூᑖ᪆௃᪷Ḅᭆ"#$.ூ&$௃$'Aஹ*+,*+ᦑ.⌱⚗,ᔠ⚪3;Bஹ,*+6,*+ᦑ.⌱⚗,ᔠ⚪37Cஹ8*+9*+ᦑ.⌱⚗:ᔠ⚪37Dஹ,*+6,*+ᦑ.⌱⚗,ᔠ⚪3.ᦑ⌱'C.ூ<=௃>⚪ὃ@AḄᭆ"'ḄᐵC*DE+FGᑖHᢚJKLMᔠ7*⌕DE+OP180TKUMᔠ.2.XᱥZy=]x—2/a3Ḅ⚔<ᙶ᪗*]fA.]-2,3fB.]-2,-3fC.]2,3fD.]2,-3fூᫀ௃Dூᑖ᪆௃᪷XᱥZ⚔⚪vp$w.ூ&$௃$'•••XᱥZf+=X-2
2-3,...uXᱥZḄ⚔<ᙶ᪗n]2,-3f,ᦑ⌱'D.ூ<=௃>⚪ὃ@yz{ᦪḄឋ~+$>⚪ḄᐵC*⚪3+ᑭᵨyz{ᦪḄឋ~$.3.aᐗyz/a31+4=0Ḅ᪷Ḅ*]fA.ᨵF,Ḅᦪ᪷B.ᨵFḄᦪ᪷

8C.ᨵᦪ᪷D.ᑨூᫀ௃Cூᑖ᪆௃tᑨiḄ+᪷ᑨiḄᓽLᑨḄ᪷Ḅ.ூ&$௃'.'a=1,b=-3,c=4=-4஻=]-3f2-4'4=-7<0aᐗyzᨵᦪ᪷ᦑ⌱'Cூ<=௃>⚪ὃ@Aaᐗyz᪷Ḅᑨi+᪷ᑨiḄḄLpᑨᨵᦪ᪷.4.]a1f-2x=3*ᐵxḄaᐗyz+ᑣmḄn]f.A.IB.-1C.±1D.,£ᙠூᫀ௃Bூᑖ᪆௃᪷¥¦ᨵa§¨ᦪ+©ª§¨ᦪḄᨬ¬zᦪ*2Ḅ᦮i®aᐗyz¯°ᑖ᪆ᓽL.ூ&$௃$'±⚪3Lvᑭ-²0,|´+1=2$vm=-\ᦑ⌱'B.ூ<=௃.⚪µ⌕ὃ@AaᐗyzḄ¶·+ᐵC*¸¹ᑨa*ᔲ*aᐗyz»¼3ᢕ¾5☢'“ᓄÂK”7“a§¨ᦪ”7“§¨ᦪḄᨬ¬zᦪ*2”7“yz⚗ḄÄᦪ,0"7“᦮i”.5.yB.x=yC.x

9X<Ì+ᦑ⌱'c.ூ<=௃>⚪ὃ@Ayz{ᦪÊËḄ<Ḅᙶ᪗ᱯÞ+ßูyz{ᦪḄÊឋ~*$w>⚪ḄᐵC.6.᝞+XᱥZ>=0?+â+஺xä<]-1,0,nx=l,ᑣåᑡçèéḄ*]f.A.aு0B.c<0C.êx>lë+yìxḄíᜧíᜧD.x=3*aᐗyzg?++0=0Ḅߟ•᪷ூᫀ௃Dூᑖ᪆௃᪷yz{ᦪÊÄᦪḄᐵÄஹyz{ᦪḄíñឋpò{ᦪóxä<ᙶ᪗¨ôᓽ⌲⚗ᑨ¶ᓽL.ூ&$௃$'ᵫyz{ᦪÊḄ÷øᔣᔣåLva*úᦪ+ᡠpA⌱⚗┯ý7ᵫ{ᦪóyḄä<ᙠéþLvc*éᦪ+ᡠp8⌱⚗┯ý7êx>lë+yìxḄíᜧñÎ+ᦑC⌱⚗çè┯ý7•.•XᱥZxḄaä<ᙶ᪗*
-1,0,*qZx=l,ÿ
x,0,ᑣ-l+x=2xl,ᓽx=3,•••
ᙶ᪗3,0,.,.x—3
ᐗax2+hx+c—0Ḅ
᪷ᦑ⌱⚗.ᦑ⌱D.ூ௃⚪#⌕ὃ&'(ᦪ*+,-ᦪḄᐵ-ஹ(ᦪ*0Ḅ12ឋஹ4ᱥ6,x7Ḅ89:ᮣ<=ᵨ(ᦪḄឋ?@A(ᦪ*0,-ᦪḄᐵ-BC⚪Ḅ

10ᐵE.7.GHIḄJKLMᨵOPᳫR☢ᑖUᑏḼ“1”“2"◀ᦪ^᜜OPᳫ`ᐸbcU.dLef᥎h
Pᳫijᐸᦪ^klm᤯ᒴpdLef᥎h
Pᳫijᐸᦪ^qrOijḄᦪ^st3Ḅᭆ᳛x1112A.-B.—C.-D.
4323ூCᫀ௃Cூᑖ᪆௃ᐜ᪷⚪h᪛*pᑭᵨᭆ᳛ᓽ.ூB௃B᪛*᝞ᡠ@ᐳ4ᐸL⚪ḄᨵO21ᡠ@OijḄᦪ^st3Ḅᭆ᳛
=
.42ᦑ⌱C.ூ௃⚪ὃ&Ḅ᪛*Bᭆ᳛᪛*ᭆ᳛B⚪ḄᐵE.48.᝞*6y=-§x+4,X7y7ᑖU£A,B¥A4OB§A¨©┐«¬90°°±ᑮAACD,ᑣ஺Ḅᙶ᪗xA.(3,4)B.(4,5)C.(7,4)D.(7,3)ூCᫀ௃Dூᑖ᪆௃ᐜ᪷ᙶ᪗7RḄᙶ᪗ᱯ¸hBᙶ᪗0,4x,Aᙶ᪗3,0x,ᑣOA=3,OB=4,p᪷«¬Ḅឋ?±/OAC=90஺NACD=/AOB=90஺AC=AO=3,CD=OB=4,ᯠ°᪷Ḅᙶ᪗Ḅ¼½ᓽ±ᑮDᙶ᪗.4ூB௃¾x=0©y=—x+4=4,ᑣBᙶ᪗0,4x¿3

114¾y=0©-—x+4=0,B±x=3,ᑣAᙶ᪗3,0,3ᑣOA=3,OB=4,•••AAOB§A¨©┐«¬90஺°±ᑮMCD12.ZOAC=90°,ZACD=ZAOB=90°,AC=AO=3,CD=OB=4,ᓽAC_Lx7CD஻x7Dᙶ᪗7,3.ூ௃⚪ὃ&'«¬Ḅឋ?ÁÂᑮ«¬LÃḄÄÅÆ8¿ÁÂ,«¬LÃᡠÇ6ÈḄᜳÊ8£«¬Ê¿«¬Ëஹ°Ḅ*Ìᐰ8.Îὃ&'
(ᦪ*0RḄᙶ᪗ᱯ¸.9.᝞*ᙠÌÐÑLAMPNᑮ,ᑣ«¬LÃÒA.AB.BC.CD.஺ூCᫀ௃Bூᑖ᪆௃ÇÓPP'ஹNNஹMM',ÔPP'ḄᚖÖᑖ6ÔNNḄᚖÖᑖ6ÔMMḄᚖÖᑖ6«¬LÃ.

12•••×MNP§Ø«¬
¼ḄÊÙ±ᑮ×MNP,ÇÓPP'ஹNN'ஹMM',ÔPPḄᚖÖᑖ6ÔNNḄᚖÖᑖ6ÔMMḄᚖÖᑖ6Úᩩ6ÈḄᚖÖᑖ6ÜÝÞB,ᓽ«¬LÃB.ᦑ⌱B.ூ௃⚪ὃ&'ßàḄᳮBÒâtãä*ÌḄÒâ@A«¬Ḅឋ?嫬©ÁÂ⚔ᑮ«¬LÃḄÄÅÂÆ8竬ÊÎÆ8ÁèLÃᙠÇÓÁÂ6ÈḄᚖÖᑖ6R.10.
ᐗ
(x-l)(x-2)=m(m<0)Oé᪷ᑖUa,êça

13ஹõö⚪⚪ᐳ16ᑖ÷P⚪2ᑖx11.ø9y=G஻-3xx2-2x+5(ᦪᑣúᦪ᪷Ḅïðò.ூCᫀ௃m3ூᑖ᪆௃᪷(ᦪḄ¼û,
üÌᓽ±hCᫀ.ூB௃B•.•ý=ì
3x/-21+5(ᦪm—3^0,ᓽ஺3,ᦑᫀtn
3.ூ௃⚪ὃᦪḄᦪḄy=ac2+/zx+c+஺஺0,஺,c-ᦪ./0⚪Ḅᐵ2.12.ᦪy=x2-2x+mḄ789x:;ᨵ=>ᐳᑣmḄA.ூᫀ௃1ூᑖ᪆௃᪷EF=b2-4ac=0IJᱥL9x:ᨵ1=MNᑮF=+-2.^m=0,ᯠQ0ᐵRmḄSTᓽU.ூV0௃᪷E⚪WNF=+-2.2-4m=0,0Nm=l.ᦑᫀ/1.ூ௃ὃJᱥL9x:ḄMYRᦪy=ax2+bx+c+a,b,c/-ᦪa#..,F=g-4ac\JᱥL9x:ḄM=ᦪF=b2-4ac>0IJᱥL9x:ᨵ2=M^F=b^-4ac=0IJᱥL9x:ᨵ1=M^F=b2-4ac<0IJᱥL9x:aᨵM.13.bᦪy=f—6x+8ᵨhSiᓄᡂy=$x-h%2+kḄly=.ூᫀ௃+x—3.2-1ூᑖ᪆௃ᑭᵨhSiᓽUnoᓄ⚔.ூV0௃y=x2-6x+8,y=x?-6x+9-9+8,y=+x-3.2-l.ᦑᫀ+x-3.2-1.ூ௃⚪ὃᦪstly=ax2+bx+c,⚔y^a$x-h%2+k#uy=a1-%.+wx.yzᑭᵨhSinᓄ⚔/0⚪Ḅᐵ2.

1414.ᦪy=(x-l)2+2,{-3+2,...{x=lIᨵᨬA/2,•.T-(ߟ3)=4,2-1=1,{x=—3IᨵᨬᜧA/18,{3

15y7—^—y(6,w)/0!|\8"Ix=2ᨵ᝞×Ù=ÚÛজÊᦪ⊤Þy^-x2-x+9#4ঝà5(-1,஻)ᙠÁ=ᦪ78âᑣ“>À^ঞåᦪ789x:Ḅæ=M(-4,0)^ট{0cx<6èéᡠᨵyzÚÛḄëì/.ூᫀ௃ঝঞ##ঞঝூᑖ᪆௃᪷EíÕᦪiîÈᐵÕUᑨðজ᪷EᦪḄ7ñḄYឋUᑨðঝঞ᪷EᦪḄ7ñUòóᑨðট.ூV0௃0ᵫᦪ7ñUy=a(x-2)2+9,n(0,8)ᐭN8=a(0-2>+9,0N=--,ᓽy=--(x-2)2+9=--x2+x+8,ᦑজ┯õ^a444A(6,m),ᙠÁ=ᦪ78âö•••JᱥLḄ÷èᔣ×JᱥLḄY:òLx=2,ù2-(1)<6-2,2.n>m,ᦑঝyz^:JᱥLḄY:òLx=2,9x:Ḅ=Mᙶ᪗(8,0),åᦪ789x:Ḅæ=M(—4,0),ᦑঞyz^ᵫᦪḄ7ñU{0

16EஹPᜐ⌕2@ABC#DᑣFABDḄ8G7HEF=ூMᫀ௃8Q;ூᑖ᪆௃%&ᱥ!678☢AB:*8;ḄEஹFA<W&EஹFA

17ூMᫀ௃2.4ூᑖ᪆௃°±27—10஺=3,Wn஺=2.4¶·¸f°஺¹5±3—2஺=3,Wn஺=0¶·¸º°lVa<3±27-10a=3,Wna=2.4º°3

18(4)(x-6)2=9x2ூMᫀ௃(1)Ü=0,஽=2Þ1+731-V3(2)᳝=k,á2=
(3)X,=-1,=23(4)X.—3,X,=-2ூᑖ᪆௃(1)ãäuå)æçå)ᑖ`º(2)ᑭᵨu)éæç`º(3)ᐜë⚗nᑮx(2x-5)-2(2%5)=0,ᯠðᑭᵨå)ᑖéÙÚ;(4)ᐜë⚗nᑮ(x-6)2-9/=0,ᯠðᑭᵨGÙòu)`.ூ§ó1e௃fX2-2X=0x(x-2)=0nf=0,x=22ூ§ó2e௃f2x2—21=0a=2,b=-2,c=-lô=/-4ᦋ=4+8=12-b+\lb2-4ac2±2Q..X——2a41+1—5/3ö÷øùூ§ó3e௃fx(2x-5)=4x-10,x(2x—5)—2(2x—5)—0,(2x-5)(x-2)=0,2%-5=0ᡈx-2=0,ᡠ¯û=/,x,=2ºூ§ó4e௃f(ü6)2=9/

19(x-6)2-9x2=0(X-6)2-(3X)2=0(x—6-3x)(x-6+3x)=0(-2x-6)(4x-6)=02%-6=0ᡈ4x-6=03nfx,=-3,X=-.22ூ?ᓄAᨬ<᦮D&ᐭ%ᓽG.ூH௃I
d+x—5=0Ḅ"#᪷m2+m—5-0>•-)u+6=5(m+I)2+(m+2)(m—2)=m2+2/n+l+m2-4=2m2+2m-3=2(m2+/S)-3=2x5—3=7.ூTU௃⚪V⌕ὃY"ᐗ[\
Ḅஹ^_(&ᦪ(Ḅ-"ᐗ[\
Ḅஹ^_(&ᦪ(Ḅ-⚪Ḅᐵ.21.`I[\aᦪy=o?++c(a#0)hḄxiyjkl⊤IX012345y-3m10-3n(1)᪷n⊤op#[\aᦪḄqrst,,=u(2)%vp#[\aᦪḄ᪆(஻Ḅ-.ூ/ᫀ௃(1)x=2,0(2)y--x2+4x-3un=-8ூᑖ᪆௃(1)᪷n⊤hyஹyḄqz-G{|=0}x=4~yḄ-ᡠTᐵ

20ᱥḄqrsqrᵫhTᙶ᪗_(ᓽG8vqrs᪷n[\aᦪḄqrឋGḄ-u(2)ᑭᵨᦪ%v[\aᦪ᪆(ᯠ

21(2)ÃTBḄᙶ᪗t(-3,5),·ᙠhÄvÅᙶ᪗ᑣATᙶ᪗t,CTᙶ᪗t•(3)ÃTGTcᐵÇTḄqrTᑣcḄᙶ᪗t.2ூ/ᫀ௃(1)È᪆(2)Åᙶ᪗È᪆(0,1),(-3,1)u(3)(3,-1)ூᑖ᪆௃(1)᪷n¹ºḄឋÄv¹º<Ḅ§ᓽGu(2)᪷nT8Ḅᙶ᪗t(-3,5)¸vÅᙶ᪗ᑏvTACḄᙶ᪗ᓽGu(3)᪷nᐵÇTqrḄ#TÊËᙶ᪗ᙳÌtÍᦪᓽG8v/ᫀ.ூ1H௃I᝞ÀAgGᓽtᡠ¸IÅᙶ᪗᝞IᑣATᙶ᪗t(0,1),CTᙶ᪗t(-3,1),ᦑ/ᫀtI(0,1),(-3,1)Iூ3H௃TcTCᐵÇTḄqrT2.♦•G(3T),ᦑ/ᫀtI(3,-1).ூTU௃⚪ὃY¹º"¸ᙶ᪗}§ᐵÇTqrÏ☢Åᙶ᪗¹ºḄឋ⚪Ḅᐵ.23.ᐵxḄ
/"Ñ+2஻?—4=0.(1)%ÒIÓÔÕÖ×Øᦪ~Ù
Úᨵ#Øᦪ᪷u(2)᝞ÜÙ
Ḅ#Øᦪ᪷ᙳtÝÞ%Ḅᨬßà-.

22ூ/ᫀ௃á1âÈ᪆uá2â3ூᑖ᪆௃á1â᪷n"ᐗ[\
Ḅ᪷Ḅᑨä(ḄåæÒçuá2âᐜ%vÇ
Ḅ#Øᦪ᪷᪷n#Øᦪ᪷ᙳt¦ᦪᑡvé(%vḄëìí8ᑮᐸᨬ᦮ᦪ-uூH௃Iá1âᵫ⚪68À=᪷2-4á2,—4â=m2-8஻z+16=ám—4â"20,...ÓÔ஻ÕÖ×Øᦪ~
Úᨵ#Øᦪ᪷.á2â•2@±■4%2,A—■22.x=m-2,X=2.x2•.•Ù
Ḅ#᪷ᙳt¦ᦪm-2>0>...m>2.Õᨬ᦮ᦪu771=3.ூTU௃⚪ὃY"ᐗ[\
᪷Ḅᑨä({A20~
ᨵ#Øᦪ᪷uò~ὃY_("ᐗ[\
"ᐗ"\é(.24.`[\aᦪy=%2-4%+3.á1â[\aᦪy=f—4x+3Ḅ⚔Tᙶ᪗u}XsḄöTtAஹB,÷T4ᙠTBḄùúᑣATᙶ᪗t,8Tᙶ᪗tuá2âᙠÏ☢Åᙶ᪗xOyhÄvÙ[\aᦪḄuX

23y(3)Ãᱥüᨵ"TP,þ8/ÿḄ☢3,ᑣPḄᙶ᪗.ூᫀ௃(1)(2,-1),(1,0),(3,0)(2)᪆(3)(0,3)ᡈ(4,3)ூᑖ᪆௃(1)ᦪ"#$᦮ᳮ⚔$(ᓽ*+,ᐸ⚔ᙶ᪗(.y=0,1ᓽ*+,A,8ᙶ᪗4(2)ᑡ⊤(7(89ᓽ*4(3)1,A3:;Ḅ<(ᓽ+,=PḄ>ᙶ᪗(?@+,AḄᙶ᪗.ூBC1D௃E*/y——4x+3=x2—4x+4-l=(x—2)~—1,)(=%2"4%+3LMḄ⚔ᙶ᪗(2ᔆ1),.y=஺(ᑣP2-4X+3=()(ᓽ(x—3)(x—1)——0,*,•%)3,=1,•.•Aᙠ8ḄTU((Aᙶ᪗(1,0),Bᙶ᪗(3,0),ᦑᫀE(2,-1),(1,0),(3,0)4ூBC2D௃ᑡ⊤᝞XEX01234y30-1037(89:

24ூBC3D௃VAᙶ᪗(1,0),Bᙶ᪗(3,0),*'-AB=2>,/]AP8Ḅ☢3,/.ZWBḄ48:;Ḅ<3,••f—4x+3=3>+Ex=0ᡈx=4,...PḄᙶ᪗(0,3)ᡈ(4,3),ᦑᫀEb0,3cᡈb4,3c.ூd௃e⚪ὃh=ᦪḄ"#$ᓄ⚔$(1jᱥ9lxmḄnᙶ᪗(oᦪLMpqr(stuvᦪḄឋxye⚪Ḅᐵ{.25.᝞L(஺yp:}~A8Cᑁ"(9AOA┐60஺(+ᑮ9AE,8CQ,BE,b1c1EZAEB^ZADC#b2c8஺E,/A£>C=105஺(1/BEDḄᦪ.ூᫀ௃b1c᪆4b2cZBED=45°ூᑖ᪆௃b1cᵫp:}~Ḅឋxq/8AC=60஺(AB=AC,ᵫḄឋxqZDAE=60°,AE=AD,GHNEAB=NDAC,AEAB▬]D4C*+ᫀ;

25(2)ᵫND4E=60஺(AE=4q]M£)p:}~(ᓽN4E£>=60஺(@ᵫNAEB=/A£>C=105°*+.ூD௃E(1)•.']ABCyp:}~(NB4C=60°,AB=AC.•.•9AQA┐60°,+ᑮ9AE,Ntt4E=60°,AE=AD.2.ZBAD+ZEAB=ZBAD+ZDAC.2.ZEAB=ZDAC.ᙠAEAB]D4C(AB=ACᙶ᪗bᵨ©”Ḅ«ᦪ$⊤¬c4ঝ4
—2,%,3
ᜩ(¯c°ᙠjᱥ9;(±¯ுX(ᑣ஽Ḅ´µ·4b2¸qAb"1,2c,Aᔣº»4¼ᓫ¾¿(+ᑮQ.¤஻=3(jᱥ9l9PQាᨵ"¼Ãᐳ(ÅᔠᦪLÇ(1(”Ḅ´µ·.ூᫀ௃b1জx=l,n-bঝ/<-2ᡈ஽>4

262
ᡈÈ=2ᡈÉு"3bூᑖ᪆௃b1cজÊÈ=2«ᐭjᱥ9᪆$(ᑭᵨx=——(1,¦§m(ᯠÎÊ⚔Ï2aᙶ᪗«ᐭ(ᓽ*ᵨ©஻Ḅ$Ð⊤¬,⚔Ḅ>ᙶ᪗4ঝᑭᵨjᱥ9Ḅ¦§ឋ(ÑÒÓᔣ;(*qÔ¦§mÕÖ(ᦪµÕᜧ(Ø@*42
Ê஻=3«ᐭ(ᑖjᱥ9ÙÚ஺(jᱥ9ÙÚP-1,2
,jᱥ9Ḅ⚔ᙠ9PQ;(}ÛÜÝᑖÞßà(+,áâḄ᪷µ(Ø@+Åà.ூBC1D௃EজÊÈ=2«ᐭjᱥ9᪆$+Ey=x2-2x+n,bjᱥ9Ḅ¦§m¡9%=--=1,2aÊ«ᐭjᱥ9᪆$+Ey=l-2+n=n-l,•••jᱥ9⚔Ḅ>ᙶ᪗n-14ᦑᫀx=l,n-l4ঝᵫjᱥ9᪆$y=W-2x+஻*qEÒÓᔣ;(¦§m¡9x=l,¤jᱥ9;Ô¦§mÕäᐸᡠ¦âḄᦪµÕB(•.•Ab-2,y
,89,%
°ᙠjᱥ9;(±>,(X?Ḅ´µ·P<-2ᡈ%>44ᦑᫀ஽<"2ᡈ஽>44ூBC2D௃E•.•Pb-l,2cᔣº»4¼ᓫ¾+ᑮQ,.•.஺Ḅᙶ᪗b3,2c.***஻=3,••jᱥ9y=x2-nvc+3.¤jᱥ9ÙÚQb3,2c(2=3,-3m+3,+஻?=?.¤jᱥ9ÙÚPb—1,2c(2=—1=+m+3,+È=-2.¤jᱥ9Ḅ⚔ᙠ9A஺;(;=2,+É=±2.4tnḄ´µ·y஻2W—2ᡈ஻2=2ᡈm>3.3

27ூd௃e⚪ὃhᦪLÇl¢ᦪḄᐵ¢(èÑᦪḄ¦§ឋjᱥ9l9n¼ᦪḄC⚪(éêpëḄ⚪ì.27.í:A8CDyîï(9C⌮┐2a
0°

287஺ᔆA8G,᝞/2ᡠ3:ᵫ⚪;CD=CE=CB,ZECD=2a,ZABC=/BCD=ZCDA=ZA=90஺,NEDC=90°-a,ZBCE=90°-2a,ZCBE=45°+a,AADF=a,•ZABE=45°-a.,/BFMDE12.N5FD=9()°.•/ZAGD=NFGB,Z.FBG=a,ZFBE=ZFEB=45஺,ᦑ>ᫀ@,45°ூ'(3)*௃DE=0AF•AB,᝞/A"J_AF■Ḅ”ᵫ(2)NFBE=NFEB=45°.,FB=FE.•AH_LAF,/BAD=90°,/.ZHAB=ZFAD1•2NBFG=ZDAG=90°,NBGF=ZDGA,

29/.NFBG=ZADG,ᓽZABH=ZADF,2.FH4B%MZXASA),AHB=FD,AH=AF,:.HF=DE,N஻=45஺.•*-HF=y/2AF-•••DE=y[2AF-ூU௃V⚪WXY0Zᔠ⚪ὃ]^_Ὺabcb0Ḅឋeஹgᐵhᐰ_cb0Ḅᑨឋeijᳮklmnoᐵឋehᳮp*⚪Ḅᐵq.28.tu☢abᙶ᪗yz{|▲ᑁḄP(x,y)/0W,᝞5,PxḄᚖᚖᑖ@M,N,/0WyḄ;{஺(஺,@஺4%஻ᑣXY0PMQVp/0WḄ{⌚P@⌚Ḅ{ᱯ.,A(l,2),8(3,1),ᑣP(5,4)@"A3Ḅ{⌚Ḅᱯ.(1)¡:4(1,2),8(3,1),C(2,3),জᙠὡ(1,3),^(3,3),£(4,4)ypAABCḄ⌚ᱯḄ@ঝᙠ{¨©ᦪª=᝞+6(®0)Ḅ/°±²ᙠ“IBCḄ⌚Ḅᱯ´஻?Ḅ¶·¹.(2)º஺(3,4)@ᙊ¼½¾@1ᙊᙠ¿ᱥy=ox2—5ax+4(a/0)±²ᙠODḄ⌚ḄᱯaÆᑏ஺Ḅ¶·¹.5.4-3-2-1.111111tli1»-2É.12345678x-2•ூ>ᫀ௃(1)জ;ঝÍ-1஻/0(2)஺0ᡈ“ᡈ{,4ூᑖ᪆௃(1)জ᪷Ñ⌚Ḅ"ABᙶ᪗yÒᙶ᪗Ḅᨬᜧ·Õᙶ᪗Ḅᨬᜧ·ᓽᑨÖঝᐜØ⌚ḄᱯÙᱯÚᐭ©ᦪ´ÜḄ·Ýᔠ/°ᓽ´¹(2)ᙊyḄÒᙶ᪗ᨬᜧ·@4,Õᙶ᪗Ḅᨬᜧ·@5,ᑣ(4,5)@⌚ḄᱯÞ

30“<0àÚᐭ¿ᱥy=G,2—5â+43஺0$஻={!Ýᔠ/°aW—44a>Q,ᙠaä4ḄåæyçxḄèᜧèᜧé²ᙠa5Ḅᓽ²ᙠ⌚ᱯZᔠᓽ.ூ)*௃*,1$জ᪷Ñ⌚ḄCḄÕᙶ᪗ᨬᜧp3,8ḄÒᙶ᪗ᨬᜧp3,ᓽ,3«x3Wy,ᡠºëìp⌚Ḅᱯ,ஹ[x>3ঝ7Pï,y$@AABCḄ⌚Ḅᱯ.ð⚪;,\,ÞK$àÝᔠ©ᦪ/°ᙠ{¨©ᦪª=n+6஻?ô0$Ḅ/°±²ᙠ&ö஺Ḅ⌚Ḅᱯᦑ÷ᔠ⚪;.Þ“<0à;᝞/Px,y$@“RCḄ⌚Ḅᱯ.ù,Pᙠ{¨©ᦪy=஻a+5᪷஺0$Ḅ/°±ù,ᙠ{¨©ᦪª=ú+6"?ᱏ0$Ḅ/°±Þaª=ú+6஻r0$3,3$àᓽ,3=3m+6m*0
m=-l.ᔠᦪIWmVO.ᡠ2—1!"0.#2
ᙊ%&Ḅ(ᙶ᪗ᨬᜧ-.4,1ᙶ᪗Ḅᨬᜧ-.5,ᑣ#4,5
.⌚5Ḅᱯ7&,8“<0;<=ᐭ?ᱥAy=G?-5᝞+4#஻/0
5=16஺-20a+4,=--,a4ᔠaW-"<ᓽMᙠ⌚5ᱯ7&<4

318a=0;