广东省深圳市2021-2022学年中考数学模拟试题（三模）含解析版

《广东省深圳市2021-2022学年中考数学模拟试题（三模）含解析版》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。

ூ
ᑖ᪆௃ḕᙥ2021-2022ὃᦪ⚪ᔁ᱐ஹ⌱⌱"⚪ᐳ12$⚪%&$⚪3ᑖ%ᐳ36ᑖ.&$⚪()4*⌱⚗%ᐸ-⌕⚗/01Ḅ1.3“5678”:;⚪<=>?%@⌴BCDE:137000ᓟJ%K*ᦪLᵨNOᦪPQ⊤S:A.1.37x103ᓟJB.1.37x104ᓟJC.1.37x105ᓟJD.1.37x106ᓟJ2.\ᑡ^_01Ḅ/)A.a-a2=a3B.(a3)2=a5C.Q+/=/D.ab+Q2=Q33.ᙠhᦪy=%jklXḄnoq/21A.x>-lB.%>-1u2Cx—1uxW—D.Xு1.24.ya/9Ḅ{|᪷%B=732,ᑣaBḄᐵ/Aa=±BB.a=BC.a=-BD.35.ᢇḄ%\⊤/■ᙠ^Ḅ{ᙳᦪL%⌕)%¡Ḅᐗ160140120100£ᑖ᳛60%75%83%95%A.160ᐗB.140ᐗC.120ᐗD.100ᐗ6.¦Px-1,x+1Q¨ᙠA.©▲B.«¬©▲C.«©▲D.«©▲7.*®¯°±Ḅ;²³5´²³/µ¶:2Ḅ0|·%¸²³/*ᙊ%º»K*°«1⚓/B25⚓

1±Ḅ⊤☢¾/A.6ᐔB.47rC.8ᐔD.48.¿¬Àhᦪ=/+ᵨÁ+1,Â0-2B.-4-4D.Ç4-4ᡈm>-29.᝞³%AB:ÊᙊOḄËÌ%C/Êᙊ¦%uNCOA=60஺%yᡧ·AOCஹACOB.Ï·A.SiVS2Vs3B.S3,ᑣXḄnoqXX11A.———C.x<——nJcx>-D.3Ñᫀ32323211.$ÓÔÕᙢᙠ᝞³ᡠSḄ0Ø·ÙᐸᑁÛÜÝᢗ┐%ᑣ┐àᑮᐸᑁᑗᙊᨩäÜÝḄ373c,D.97112.᝞³%0O/ZU8CḄ᜜>ᙊ%/0OḄËÌ%æ>CD,Ð஺஺ḄÊÌr=5,AC=8,ᑣcoḄo/«2⚓/B25⚓

2¬ஹç®⚪"⚪ᐳ4$⚪%&$⚪3ᑖ%ᐳ12ᑖ13.ᑖèéêxy-12-x+y-2xy2-x-y=.14.“ëì”ᖪîᖪïðñᜐᳮ%ᐰîᖪᭆöᢚ%$øᙠᖪîùúûü%ýᢥù⁚ḕ
16ᐗᵨᐗ.15.᝞ஹஹ…ஹnḄᔜ⚔!"ᙊ$%&'"1Ḅᙊ(ᙊ)ᙊ*+,,-./.0)ᔜᙊᚮ23ᑖ☢6*78"S3,)ᔜᙊᚮ23ᑖ☢6*78"S”….n)ᔜᙊᚮ23ᑖ☢6*78"S,.ᑣS%Ḅ?".@ABCᶇᐔF16.᝞GABCDḄLMBDᙶ᪗P!GḄᑖQRSTᙶ᪗U!CᙠWXYZᦪy=2Ḅ_`a!AḄᙶ᪗"@-2,-2F,ᑣkḄ?".ஹde⚪@g⚪hᑖ52ᑖF@g⚪ᐳ7⚪ᐸk17⚪5ᑖ18⚪6ᑖ19⚪8ᑖ20⚪6ᑖ21⚪9ᑖ22⚪9ᑖ23⚪9ᑖᐳ52ᑖF17.mno|-—1+(7C-2017)-2sin300+318.(y-z)2+(x-y)2+(z-x)2=(y+z-2x)2+(z+x-2y)2+(x+y-2z)2.(yz+l)(zx+l)&y+l){Ḅ?.(x2+l)(/+l)(z2+l)19.}~GᱏkAB=2,BC=3.oGᱏEFᢚ2!8ᙠ8`.{o@1F᝞I,a!8)!஺ᔠ"7ᐰᔩ᝞Bᐰ3⚓/25⚓

3᝞B-ᐰ▊ᳮᵫ¡(2)᝞2,a!8)CDḄk!ᔠᑨ£¤¥C8iஹ¤80G7¤EZiG*+Ḅᐵ§᝞Bᐰ¨◤ᑏAB᝞B«¬ᑏAB7.Ḅ«¬X¡(3)᝞2,{®!BᙠCD`¯ᜐᓽ81cḄ²³"´µ¶&FCB\ABஹDGᐰ.D(B)AF஺20.ᓭ¸¹ºk»Ḅ¼ὁ¾¿m
g᪥ÁÂÃÄÅᐜÇÈÉÊËÌ᪗ÍÎḄÏÐÑÒÓ0¿mḄᦪÔÕᑴᡂ
-ØÙḄᩩ¿m7ᡧ¿m.᪷ÔkÝÞḄᦪÔßeàᑡᡂâo(1)»᪥ÁÂÃÄÅÈÉÊËÌ᪗ÍÎḄᐜÇᨵ´µä(2)⊡ᐰᩩ¿mḄæÙ3ᑖ¡(3)aÂÃᨵ1200ÐᐜÇçmÂÃÈÉèᓷêᙶÌ᪗ÍÎḄᨵ´µä᪗᪗ᩩᡧ20ᙶᓷ°ᙶᓷᙶ21.ºᖪìÎ├Äîᡂg"50ᐗ/ïḄrឰñòÎ├ó+ᓫõ-öTᡂgᓫõ÷øᑭ-úûT50%.üÎ├ýþÿ
)ᓫx(ᐗ/
)ᔠᦪᐵ├ᦪ᝞⊤(ᐗ/
)556070├(
)757060(1)ᦪ7Ḅ⊤;4⚓/"25⚓

4(2)%&ᖪ()*ᑭ,-஺ᐗᑏ0ᑭ,஺ᓫx23Ḅᐵ4ᓫ5-678ᖪ(9)*ᑭ,ᑭ,:67;22.=>᝞?@MᙠxCDE@M-ᙊG2.5I-JKḄᙊLyCNAஹBR@LXCNC(X10)^D(X20)R@(X1ீX2),X[ஹX2:\]X(2x4-1)=(x+2)2ḄR᪷.(1)@CஹDc@MḄᙶ᪗;(2)%fgy=kx+bᑗ஺MN@A,LxCNP,PAḄI4(3)OMDnᔲpᙠq᪵Ḅ@Q,t@QஹAஹCu@᪀ᡂḄuxyAAOCz{;%pᙠ,|0@Ḅᙶ᪗}0~AஹCஹQu@ḄᱥgḄ᪆4%pᙠ|▊ᳮᵫ.2+bx+C(C>0)Ḅ?xCLN48R@(@/ᙠ@8Ḅ)yCLN@C,O8=OC=3,⚔@-(1)&ᦪḄ᪆4(2)@P-g8MDḄ@~@PxCḄᚖg஺ᚖ-@஺0஺=,y/C00Ḅ☢-S,SᐵNḄᦪ᪆}ᑏ0"Ḅ¢4(3)£gDnᔲpᙠ@P,tAPMC-¤Ὺuxy;᝞¦pᙠ0@Ḅᙶ᪗;5⚓/"25⚓

5ூ¨©ᑖ᪆௃¬ḕ¯ᙥ±2021-2022²³´ὃᦪ²¶·⚪¹u¶º¹᪆᱐ºஹ⌱⌱#$⚪ᐳ12'⚪()'⚪3ᑖ(ᐳ36ᑖ.)'⚪,-4.⌱⚗(ᐸ12⌕⚗456Ḅ81.E“½¾2¿”-Á⚪ÂÃÄÅ⌴"Ç]È-137000ᓟÊqᦪᵨ̲ÍᦪÎ9⊤Ï-¹ºA.137x103ᓟÊB.1.37x104ᓟÊC.1.37ஹ10$ᓟÊD.137x1
6ᓟÊூÐᫀ௃Cூ᪆௃ூÒ௃137000=1.37x105ᓟÊᦑ⌱c.2.ᑡÖ×ØÙḄ:¹ºA.a-a2-a3B.
a32=a5C.a+a2=a3D.ab—aூÐᫀ௃Aூ᪆௃ூᑖ᪆௃᪷ÚÛᦪÜÝÞÛᦪßᢣᦪÝá4âḄÞ\ÛᦪßᢣᦪÝÞ4ÚÛᦪÝ◀,ÛᦪßᢣᦪÝäåᔜ⌱⚗ᑖ᪆ᑨéêᑭᵨ᣸◀Î.ூÒ௃/ஹØÙBஹì-¹஺3
2=஺3*2=஽6,ᦑî⌱⚗┯ð4Cஹ஺/:Úz⚗nᔠ}ᦑî⌱⚗┯ðDஹì-46+/=a6-2=°4,ᦑî⌱⚗┯ð.6⚓/"25⚓

6ᦑ⌱z.ூ@ò௃î⚪ὃóÚÛᦪÜḄÞÎÜḄÞ\ḄឋõÚÛᦪÜḄ◀Îö÷øùú×ឋõ:⚪Ḅᐵûᔠ}Úz⚗8:Úz⚗Ḅ5nᔠ}.3.ᙠᦪü=ý±1´ÿ
xḄ2x-lA.x>-lB.x>-4XH92C.xN-lD.x>-l2ூᫀ௃cூ᪆௃[x+1>01ூ#௃c,%&'-1()•ᦑ⌱C.[2x-1^024..a9Ḅ12᪷4B=62,ᑣa8BḄᐵ:A.a=±BB.a=BC.a=-BD.<=>?@ABூᫀ௃Aூ᪆௃ூ#௃ᵫ⚪E&F±3,B=3,a=HB4ᦑ⌱A.5.JKLMNOPᢇARSTḄUV4W⊤Y■KLᙠ\]^_`Ḅ1ᙳᦪc4⌕eYKLUVfg4YKLhiMjkSlḄUVUVSᐗ160140120100oᑖ᳛60%75%83%95%A.160ᐗB.140ᐗC.120ᐗD.100ᐗூᫀ௃Bூ᪆௃ூ#௃u⚪ὃwḄ_`Ḅxᵨz⚪Ḅu{|}kUVḄ~4ᓽ..}kUVa.kUVḄ~ᑖaxl60x60%=96a7⚓/25⚓

7ax140x75%=105aax120x83%=99.6aax100x95%=95a.hiM140ᐗḄUV.ᦑ⌱B.6.P(x-1,x+1)Aᙠ()A.▲B.)▲C.▲D.▲ூᫀ௃Dூ᪆௃ூ#௃u⚪<ᓄAḄᡂ4WᑡAj4(1)x-l>0,x+l>0,&x>l,ᦑx-l>0,x+l>0,ᙠ▲;(2)x-l<0,x+l<0,&x<-l,ᦑx-l<0,x+l<0,ᙠ▲(3)x-l>0,x+l<0,(4)x-l<0,x+l>0,&ᦑx-l<0,x+l>0,ᙠ)▲.ᦑPAᙠ▲4ᦑ⌱D.7.P¢£]¤¥Ḅ¦§¨©ª§¨@«¬2Ḅ2®4¯§¨Pᙊ4±²³]¤¥Ḅ⊤☢µ()A.6ᐔB.4ᐔC.8nD.4ூᫀ௃Aூ᪆௃ூᑖ᪆௃᪷c⚪E4ᑨ¸gY]¤¥ᙊ¹.º»¼☢½¾<¿À4᧕|⊤☢µ.ூ#௃᪷c᪗⚪ḄÃÄ4<ᑨ¸g³]¤¥hYᙊ¹4ÅḄ¼☢ᙊḄ½¾1>À2,ÅḄ⊤☢µ=2nx2+nxl2x2=6n,ᦑ⌱A.8.BÆ)ÇÈᦪyuV+mx+l,É0-2B.-4-4D.Î4-4ᡈm>-2ூᫀ௃Aூ᪆௃8⚓/25⚓

8ூᑖ᪆௃⌕ÐÑ0æ.hmm2ூ#௃BÖ×x=--=P—y=l-------,2a24ᑖkâãজÉBÖ×xVOÊ4ᓽ-éVO,m>0,zÊyêXḄëᜧíëᜧ4x=OÊ4y=l,ᡠl,ᡠ<ðᔠ⚪E.ঝÉ08V2Ê4os-—V2,-4ீòSO,zÊÈᦪḄᨬÕᙠ⚔ᜐõIö4ᑣ◤É1—->0,24ᓽ-2--,XVw<-4,zkâãÎ;2ü=ᡠÄý0Vþ2ÊḄÈᦪËÌᦪ4ᑣÎ"2.9.᝞
ABᙊOḄ
Cᙊ
NCOA=60஺
ᡧAOCஹZkCOBஹᑣḄᐵA.SYS2Vs3B.S2

9°120^-T?27rR2Sᡧ80c—•3603ᙠ9:OCD;
ZOCD=30°,.OD=—,CD=^-R,BC=J?>R,22.c_A/37?20_7tR-gR2_C_38E434124L3GER2IJK2-------------ு----->------1264'/.S23,ᑣTḄUVXEXXA.——C,x<—ᡈxுD.^ᫀ323232_`aூᫀ௃Cூ!᪆௃ூᑖ᪆௃ᙠcd☢:ᙶ᪗;%hijklᦪn=1'y=2ஹy=-3Ḅq
rsqXtu
ijklᦪy=-vᙠwy=2xyᙠwy=-3yḄzᑖᡠa|ḄxḄUV,Xᓽᡠ~ḄXḄUVX.ூ#!௃%hlᦪ=1'y=2ஹy=-3Ḅq,Xᵫqtu&.•.x<—ᡈx>!
ᨵ
2,
E3.32x\X/ᦑ⌱C.*10⚓/-25⚓

10⚪ὃnijklᦪḄឋ:পijklᦪy=*k+0EḄqw$k2Ek>0,wḄᑖஹ*9q▲
ᙠq▲ᑁyxḄᜧ¢£¤;3Ek<0,wḄᑖ*¦ஹ*§q▲
ᙠq▲ᑁyxḄᜧ¢ᜧ.11.¤¨©ᙢᙠ᝞ᡠ¬Ḅ9:Kᐸᑁz¯°ᢗ┐
ᑣ┐³ᑮᐸᑁᑗᙊᨩ·E¯°Ḅூᫀ௃Cூ!᪆௃ூ#!௃¸⚪!᪆$$᝞ᡠ¬Ḅ9:,/.ZCAB=6O",9:Ḅ¹ºa,AAB=ya,*11⚓/-25⚓

11¦஺஺ᑁᑗᙊ,.\ZOAB=30o,ZOBA=90°,/.BO=tan30°AB=2/la,6ᑣ9:Ḅ☢»Y3a2,¢ᙊḄ¼a,☢»2a2,4612½¾ᭆ᳛2a2+Áa2=1Ân.1249ᦑ⌱C.ὃ$ÃÄᭆ᳛.12.᝞
0஺/BCḄ᜜Æᙊ
0OḄ
ÇÆCD,R஺஺Ḅr=5,AC=8,ᑣcoḄVEூᫀ௃Bூ!᪆௃ூ#!௃!$$È஺஺஺Ḅ
N/CZ=!90஺.R4C£>;
AD=2r=\Q,AC=8.᪷ÊËÌÍᳮ
Ï$CD=.JAD?-AC=6.CD3••cosD=----=-.AD5■:/B=/D,.3co=cosD=—,5ᦑ⌱B.¦ஹÐÑ⚪⚪ᐳ4¤⚪
¤⚪3ᑖ
ᐳ12ᑖE*12⚓/-25⚓

1213.ᑖ!½Ó(xy-1)2-(x+y-2xy)(2-x-y)=.ூᫀ௃(y-1)2(x-1)3ூ!᪆௃ூ#!௃!$Öx+y=a,xy=b,ᑣCxy-1)2-(x+y-2xy)(2-x-y)=(-1)2-(a-2b)(2-஺)=b2-2b+\+a2-2a-2ab+4b=(a2-2ab+b2)+2b-2a+1=(b-a)2+2(b-a)+1=(b-a+1)2ÙᓽÚÓ=(xy-x-}H-1)2=[x(y-1)-(y-1)]2=[(y-1)(x-1)]2=(y-1)2(x-1)2.ᦑᫀব-1)2a-i)2.á$½Óᑖ!Ḅyâ$(1)ãUä½Óâj"“+Mb+/MC=7M(a+b+c).(2)äÓâ:éᐰdyäÓ
dyëäÓ.(3)ᓝíîïâ.½Óᑖ!Ḅᑖ
⌕ᶇòᐰóᣚᐗâḄᮣ÷øᵨ
úûüýÓþÿ
ᐰ,ᑭᵨᑖḄ.14.“”ᖪᖪ!"ᜐᳮ%ᐰᖪ
ᭆ'ᢚ%)*ᙠ,ᖪ-./
0123%4ᢥ67-.,3⁚ḕ/16ᐗ%<-.,3=>ᵨᐗ.ூ@ᫀ௃64ூ᪆௃ூD௃EF=>G7Hxᐗ%ᑣE0.8("16)=x,Q:x=64,ᦑT64.15.᝞W%XYZ[\]ஹ_`]ஹ…ஹn`]Ḅᔜ⚔efᙊhijkf1Ḅᙊ%lᙊmᙊnoppqrs.t[\]mᔜᙊᚮvwᑖ☢ynz{fS3,_`]mᔜᙊᚮvwᑖ☢ynz{fSn`]mᔜᙊᚮvwᑖ☢ynz{fS”.ᑣS90Ḅf.(ᶇᐔ)4)13⚓/25⚓

13ூ᪆௃ூD௃[\]mᔜᙊᚮvwᑖ☢ynzS3=152.=33602_`]mᔜᙊᚮvwᑖ☢ynz5,=”5360*=%…ᡠZS=1s3602"360216.᝞W%]ABCDḄ\BDᙶ᪗6e%]Ḅ`ᑖᙶ᪗%eCᙠ4ᦪ¢"ḄW£%¤eAḄᙶ᪗f¥-2,-2§,ᑣkḄf.xூ@ᫀ௃4ூ᪆௃ூD௃©⚪ᑖ᪆EFeCḄᙶ᪗f¥x,y§,ᑣB¥-2,y§D¥x,-2§,FBDḄᦪ᪆ஹ22fy=mx,ᑣy=-2m,x=----,k=xy=(—2m),(——)=4.mmὃeE¯4ᦪ᪆.:ஹ;<⚪#$⚪=ᑖ52ᑖ8#$⚪ᐳ7⚪(ᐸ117⚪5ᑖ(18⚪6ᑖ(19⚪8ᑖ(20⚪6ᑖ(21⚪9ᑖ(22⚪9ᑖ(23⚪9ᑖ(ᐳ52ᑖ817.±²E|--|+(71-2017)°-2sin300+332ூ@ᫀ௃|14⚓/25⚓

14ூ᪆௃ூᑖ᪆௃ᓄ¹ஹ0Yºz»ᢣᦪ½%¾ᐭ30°\Ḅ[\ᦪ%ᯠÁᢥ᯿ᨵᳮᦪḄ1²ÄÅzᑣ±²ᓽÇ.ூD௃6=1+1-2X%+.3233ூeÈ௃É⚪ὃÊ/=ᦪḄ1²%ᵨᑮḄÌÍeY⌕ᨵஹÏᢣᦪz»ᢣᦪ%ZÐ\Ḅ[\ᦪ%Ñ{rᐵᑣzឋÔHᜐᳮÕ⚪ḄᐵÖ.18.(y-z)2+(x-y)2+(z-x)2=(y+z-2x)2+(z+x-2y)2+(x+y-2z)2.(yz+l)(zx+l)(xy+l)ஹk--------------------------------------Ḅ.(x2+l)(/+l)(z2+l)ூ@ᫀ௃1ூ᪆௃ூᑖ᪆௃×ØÙÌÚᓄ¹QᑮÛÌÜḄᐵÝ%¾ᐭÞ᪗߯.ூD௃(j-z)2+(x-y)2+(z-%)2=(y+z-2x)2+(z+x-2y)2+(x+y-2z)2./.Cy-z)2-(y+z-2x)2+(x-y)2-Cx+y-2z)2+(z-x)2-(z+x-2y)2=0,(y-N+y+z-2x)(à-z-y-z+2x)+(x-y+x+y-2z)(x-y-x-á2z)+(z-x+z+x-2y)(z-x-z-x+2y)=0,2x2+2y2+2z2-2xy-2xz-2yz=0,(x-y)2+(x-z)2+(y-z)2=0.Vx,y,zᙳf=ᦪ%l(x-y)2>0,(x-z)2>0»(y-z)2>0,:.(x-y)2=0,(x-z)2=0,(y-)2=0.z...x=y=z.Cyz+l)(zr+1)(xy+1),+"(/+l)(i+1)%!(x2l)(/l)(z2l)=(x2l)(/l)(?l)=1&++++++ூeÈ௃É⚪ὃÊ/ÚḄᓄ¹ஹãäḄ1ᵨ%ᨵ
åḄæç%æeHឤÚé]%ᮣë1ᵨìᐰäíᓄf[î»ᦪḄzfÏHᐵÖ.19.ïÌ]ðᱏ/BCDò%AB=2,BC=3.óôEõ]ðᱏöEFᢚv%÷e8øᙠ`8.ù¯E'1᝞W1,¤e8me஺ûᔠ%ýþfzÿACᐰᔩ᝞ᐰ᝞ᐰ▊ᳮᵫ'2᝞2,8஺ḄᔠᑨFC8iஹ8LDG$E஻G%&Ḅᐵ(᝞)15⚓/,25⚓

15ᐰ.◤ᑏ1᝞23ᑏ1$45Ḅ236(3)᝞2,7898:ᙠCD<=>ᜐᓽ8CḄABCDEF&FCB\&B\DGᐰ.ூHᫀ௃(1)ᐰ.(2)CB8QG23236C4-3.(3)98C=3-FAFCB\ABiDGᐰ.ூK᪆௃ூᑖ᪆௃(1)ᵫN

16(2)8QG$E/iGᐰFCS8QG23,dFC=x,ᑣ9=5=3-x,B\C=^DC=\,/.x2+l2=(3-x)2,4'.x=—,3.♦.FCBiBOG23236C4X3.(3)AFCBiABiDGᐰ;.d8iC=a,ᑣᨵC=8|Z>=2-q,B\F=BF=\+a,ᙠm_C8iVW(1+a)u(2-a)2+a2,᦮ᳮWa2-6a+3=0,KWXa=3-<(wxKyz).,.981c=3-ἌFFC818QGᐰ.ூ~௃ὃᢚSḄឋUஹQOḄឋUஹᐰ_OḄᑨgឋU23_OḄᑨgឋU.k⚪BᜧᶇqᦪOhiḄᵨ.20.ᓭḄὁ᪥xᐜ¡¢£¤¥᪗§¨Ḅ©ª«¬®Ḅᦪ¯°ᑴᡂ³´ḄᩩO$ᡧO.᪷¯¸¹Ḅᦪ¯ºH»ᑡᡂ½X(1)¾᪥x¡¢£¤¥᪗§¨ḄᐜᨵDE¿(2)⊡ᐰᩩOḄÁ´Âᑖ(3)¾ᨵ1200ªᐜþ¡¢ÄᓷÆᙶ¥᪗§¨ḄᨵDE¿>᪗᷄@1AூHᫀ௃(1)50¿(2)⊡ÈK᪆(3)480¿.ூK᪆௃)17⚓/,25⚓

17ூoK௃¨⚪ᑖ᪆XÉ1Ë᪷¯ᙶÌ£ÍÎ$ÄᓷÆᙶḄ,¿ᦪ$6ÏWᐜ¿ᦪ;É2Ë᪷¯,¿ᦪ8ÒgÓÔḄ¿ᦪÕÖV⊡ᐰÉ3Ë᪷¯ÄᓷÆᙶḄ¥᪗Øᑖ68ᐰ¥᪗¿ᦪ.¨⚪K᪆XÉ1ËÉ20+25Ë-É1-10%Ë=50É¿ËHX¾᪥x¡¢£¤¥᪗§¨Ḅᐜᨵ50¿.É2ËÒgÓÔḄ¿ᦪC50-25-20=5,⊡ᐰ᝞»:᪗ᩩ35302525___________________20________2015105011ᙶBCᓷᙶÉ3Ë1200x40%=480É¿ËHXþ¡¢ÄᓷÆᙶ¥᪗§¨Ḅáᨵ480¿.ὃXᩩO$ᡧO.21.ᖪã¨├xåᡂC50ᐗ/çḄ7ឰêg¨├ë&ᓫíîïᡂᓫíðñᑭWòï50%.ó¨├ôõöyÉçËᓫíxÉᐗ/çËøᔠùᦪᐵ(¨├ᦪ¯᝞»⊤XûíÉᐗ/çË556070├öÉçË757060É1Ë8ùᦪ=x+bḄ⊤¥þÉ2˾ᖪãñWᑭÿ஺ᐗᑏᑭ஺ᓫxḄᐵᓫᖪᑭᑭ!ᫀ#$1&y=-x+130$2&x=75w21375ᐗ.ூ5᪆௃ூ85௃⚪ᑖ᪆;$1&᪷=>⊤@ᵨBᦪDᩭFGᦪḄᐵ.$2&ᵫIᖪḄᑭ=ᓫxJ=KᑡwMxḄᐵᯠO᪷=GᦪḄឋQRSTUJḄV2XᩭFᡠZḄ.[18⚓/_25⚓

18⚪5᪆;(1)bᔆkx+b,ᵫ⚪g:,55i+6=75,60%+6=70i=#5l6=130y=-x+130(2)w=(x-50)(130-x)=-(x-90)2+1600n50Wx=75,pᙠKXᑁwsxtᜧvtᜧᡠRwx=75wwx=75w21375ᐗ.ூxy௃z⚪{⌕ὃ~ᵨBᦪDZGᦪᐵᵨGᦪẆᡂ.ᶇgTUJḄV2X⍡.22.᝞>xMᙠxRxMᙊ2.5ḄᙊyIAஹBxXIC(XI,0)ஹD(X2,0)x(X1X2=4,.♦.xCஹ஺Ḅᙶ᪗C(-1,0),D(4,0),[19⚓/_25⚓

19-1+4=1.5,2ÊxMḄᙶ᪗(1.5,0),ᦑ!ᫀC(-1,0),D(4,0),(1.5,0)(2)᝞>ÌÍ//ᑣ4M=2.5,ᙠRtZX/OA/ÒAO=yjAM2-OM2=2>...xZḄᙶ᪗(0,2),,PA஺MÓᑗ.AMrPA,.ZMAO+ZPAO=90°,Ô//MO+/M4O,ZAMO=ZPAO,fNAMO=NPAOᙠÖ2(7/Òீ[Z.A0M=ZPOA=90°4OMS^POA,.AMOM,,ÙÚ’m,2.51.5ᓽ=—,PA25PA=—93(3)®ᙠ.᝞>ÌÍ4CஹAD,.ZCAD=90°,fZ.AOC=NDCAᙠÖ/COÖ■DC4Ò<,[N4OC=NZX4c=90஺./\ACO^/\DCA,®ᙠx0,x஺àᔠx0ஹ4ஹC³x᪀ᡂḄ³µ¶Öᨴ0C·¸,Kbºx/ஹCஹ஺Ḅ»ᱥ¨y=ax2+bx+c,a-b+c-0ᑣ<16a+4b+c=0,c=2[20⚓/_25⚓

201a=—235■b=3,13•■.º/ஹCஹ஺³xḄ»ᱥ¨Ḅ5᪆;y=--x2+—x+2.23.᝞>åÊ{Gᦪy=-x2+bx+c(c>0)Ḅ>æxI4,8x(xXᙠx8Ḅiç)yIxC,pO8=OC=3,⚔xé.(1)ZêÊ{GᦪḄ5᪆(2)xë¨ì8MḄíîxºxëïxḄᚖ¨ë0,ᚖñx0,¦஺0=òóô¶/CPQḄ☢öS,ZSᐵIòḄGᦪ5᪆ᑏ”ḄV2X(3)øZ;¨ì8/ᔲ®ᙠxP,²APMCùῪ³µ¶᝞û®ᙠZxPḄᙶ᪗;᝞û®ᙠ¹▊¾ᳮᵫ.[21⚓/_25⚓

2193716ூ!ᫀ௃(1)ý=—X2+2x+3(2)5óô¶"H—஻2H—(1<஻<3)(3)®ᙠP~-22\55,>ᔩ”
‘(2Zூ᪆௃ூᑖ᪆௃(1)᪷⚪8஺Ḅᙶ᪗ᙶ᪗ᐭᓽᦪ᪆(2)᪷(1)ᦪ᪆ᔊḄᙶ᪗ᑭᵨ$%&ᦪ'(BM᪆᪷஺஺=ᵨ*PḄᙶ᪗+,PQḄ-./᪷S012=S4AOC+S32p°ocSᐵ5mḄᦪ᪆/᪷Pᙠ78MB9mḄ:;=(3)>?জACA/=PCBঝACW=MPBঞACP=MPBEFGHᑖI᪷JK%ᳮᑡNOPḄᙶ᪗.ூR௃S(1)°0B=0C=3,.*.5(3,0),C(0,3),W9+3b+c=0,ᐭU=-x?+6x+cc=3.6=2,Xc=3....YZ[ᦪḄ᪆\y=—+2x+3;(2)y=-x2+2X+3=-(X-1)2+4,—+2x+3=0x=—l,x=3”(TO)*]7MBḄ᪆\y=^+஻k+n-4,k——2,ᑣᨵ,3k+n=0.n=6.]7MBḄ᪆\y——2x+6.VPQ_LxdOQ=m,e22⚓/h25⚓

22...PḄᙶ᪗\(i,-2M+6),S012XCTV=S4Aoe+5DEPQOC=~AO-CO+—(PQ+CO)-OQ]]93=—xlx3+—(-2/H+6+3)-/?7=-w2+—/77+—(l

23VA=40,.10±2>/10••x=--------------2x5X=l+®x,=l-¦NOḄ᪷'5-5ঞA=B^X2+2X-32=^X-12+2X-22.᦮ᳮ2x=4,x=2,NOḄ᪷BP2,2¨/;\Ὺ2.ூª௃«⚪ὃZ[ᦪ®¯°±ᔠ⚪³ᑭᵨ$%&ᦪ'(ᦪ᪆(ᙶ᪗&01e24⚓/h25⚓

242Ḅ☢µ◤ᑖᒘ2®32ᩭᶇºᡠᙠḄᙢ½¾%¿ÀÁÂḄ:;=Ὺ2ᑖÃὃ⇋ÅᵨJK%ᳮ᪀⌼NO⚪ᐵÈ.e25⚓/h25⚓