2021-2022学年乐山市毕业升学考试模拟卷数学卷含解析及点睛

《2021-2022学年乐山市毕业升学考试模拟卷数学卷含解析及点睛》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。

2021-2022ὃᦪᔁὃ1.⚪ὃஹஹஹὃஹᑏᙠᔁᑁ!ᙠᔁ"#$%᪗'஺2.)*+ᑖ⌱.⚪/0⚪⌱1ᫀ3◤ᫀᑏᙠᔁᢣ6Ḅ8ᑁ)9+ᑖ:⌱.⚪ᫀᑏᙠᔁ⚪;ᢣ6Ḅ<"஺3.ὃ=>?@⚪ᓱḄ᦮C஺ὃDE3FᔁG⚪ᓱ*HIJ஺*ஹ⌱.⚪KFᜧ⚪ᐳ12N0⚪/0⚪4ᑖᐳ48ᑖ.ᙠ/0⚪P1ḄQN⌱⚗Sᨵ*⚗UVᔠ⚪;⌕YḄ1.Zᑡ\ᐰ᪗^_U`ab_cḄU
dZ2.ZᑡᔜᦪUᨵᳮᦪḄU
A.nB.0C.V2D.f3.᝞_ᙠQhcABCDNA+ND=a,NABCḄiᑖjNBCDḄiᑖIklP,m1JNP=Ko2224.pqOOḄrst1
,ᙊ`OᑮwABḄxyt5,ᑣwABᡠaḄᙊᕜ}Ḅ~ᦪU
A.30°B.60°C.30°ᡈ150°D.60°ᡈ120°5.pq5=2”ᦪK“*2
2+2஺+1
ḄtKoA.-11B.-1C.1D.116.Zᑡ_⊤*Nᵫ0ᙽᡂḄ%Ḅ_0fcḄᦪ⊤<"0ᙽḄNᦪᑣ%Ḅ_t

17.Zᑡ⚪⚪U
A.᝞)*Nᙊ"Ḅlᙠ)9NᙊḄ᜜+Nᙊ᜜yB.᝞*Nlᓽᙠ)*Nᙊ"¡ᙠ)9Nᙊ"Nᙊ᜜ᑗC.᝞*ᩩ¤"Ḅlᑮᙊ`Ḅxy¥krs¦ᩩ¤jNᙊᑗD.᝞*ᩩ¤"Ḅlᙠ*NᙊḄ᜜+ᩩ¤jNᙊy8.9ᐗ*¨©ªீx=-3x=2y=2y=—19.¦~ᓫ1®=47®;²³*´µ¶·¸¤st25100®ᵨº'ᦪ»⊤·¸¤sUKoA.25¼X"'®B.0.25/X10*®C.2.51XI”®D.2.57X᭓®10.¾¿ÀÁᦪy=3a>0,atÂᦪoGÃ=—ᙠ)*Å▲ᑁḄ_Å᝞_ᡠlMᙠy=3Ḅ_Å"MC_LxÇklC,IÃ=*Ḅ_ÅklAMD_LyÇklD,IÃ=*Ḅ_ÅklB,ÈlMᙠy=ÉḄ_Å"ÊËÌÍZDজSAODB=SAOCA;ঝQhcOAMBḄ☢ÐÑ;ঞÈlAUMCḄlÌᑣlBUMDḄl.ᐸfÕDÖḄNᦪU

211.Zᑡ_cUᵫ᪵ᜧ0ḄØcᢥ᯿*6ÛÜᡠªᡂḄᐸ)জN_c*ᐳᨵ3NØc)ঝN_c*ᐳᨵ7NØc)ঞN_c*ᐳᨵ13NØc…ᢥßÛÜ᣸ᑡZá)তN_cØcḄNᦪtK)OOO<><><><><>O<><>oᔠOOOOOOO<>oo_জ_ঝ_ঞ_টA.73B.81C.91D.10912.ᙠçèéêëᜓíÑḄîïZçèḄðñêòójéêëᜓí᳛ᡂ¾¿Àᐵö.Èéêëᜓí᳛t7.5%Ì,øçèðñêòót400ùᐗ᝞éêëᜓí᳛"úᑮ8%ÌçèðñêòóûüýüùKA.20B.25C.30D.359ஹþÿ⚪
ᜧ⚪ᐳ6⚪⚪4ᑖᐳ24ᑖ.13.᝞ABCᑁ஺O,NCAB=30஺ZCBA=45°,CDJ_ABD,஺OḄ2,ᑣCDḄC14.᝞ᙠ☢!ᙶ᪗$%&'ABCDḄ⚔AḄᙶ᪗3,0
,⚔Bᙠy)*)+⚔Dᙠx),)+.-ᱥ/y=-x2-5x+c01BஹC,ᑣ&'ABCDḄ☢3.15.᝞45h஻L஻h,678ᩩ:/;Ḅ<=6>.>Ὺ!@!'ABCḄ!⚔Cᙠh+A816.BCᜧ
4VnDᐭ“ு”ᡈ"V”L

317.M-1,2,3,-6NOᦪ%Q⌱8ᦪᑖSTUm,n,VWm,n
ᙠXᦪy=Y+Ḅᭆ᳛\—.18.^_`ab:cᨵ111efgbhᜫjḄᭆ᳛p=LIll15,klm◅op⌕fgm◅rsbhktᜫjᔣvfgwx41yᐗ{|}.ᙳᩭm◅opᔣvfgᦈᐗm◅m.@ஹ⚪
ᜧ⚪ᐳ9⚪ᐳ78ᑖᑏᦻஹ1ᡈ.19.6ᑖ᝞AB\ᙊOḄDBCḄ%ODBCE,FODḄ/+kNOBC=NOFC,
CF஺OḄᑗ/¢O£'ACFD\:O£'sinNBADḄ¤.20.6ᑖ᝞^᪥ᦟ§¨ABḄ©☢ᨵkª«ᱥCD,¬ᐝ/®ᙢ☢Ḅᜳ!\22஺±,ᦟ§¨ᙠª«ᱥḄᜋ+ᶇµ¶2mḄ·¸CE¹¬ᐝ/®ᙢ☢Ḅᜳ!\45"±ᦟ§¨⚔Aᙠᙢ☢+Ḅ·¸F®ᜋ!Cᨵ13mḄ<=BஹFஹCᙠkᩩ/+.ᦟ§¨ABḄ¶½¢§᪥⌕ᙠAஹE¾;ᢞkÀÁÂÃÄAஹE¾;Ḅ<=º»mᶇ᦮ᦪ.21.6ᑖ᝞ABC%DᙠAB+NACD=NABC,AD=2,AB=6,ACḄ.22.8ᑖᨵ4Å*☢ᑖS᪗ᨵᦪ-1,2,-3,4ḄÆᓱᱏÉÊ◀ᦪ᜜ᐸÎᐰÐ6ÑÒÓÉÊÔ☢Õ+,Öᒴ©M4Åᓱᱏ%Øh᥎kÅÚÛÓÜᓱᱏ+ḄᦪTÝᙠØhÞ1ÅÓᓱᱏḄᦪᓽà1
Ãᵨᑡ⊤ᡈ᪛åḄæçè"஻ᡠᨵḄº»⊤ëᩭ.2
⌱Ḅm,nᙠìஹOY▲Ḅᭆ᳛.23.8ᑖî:4cos30°-712+2018°+|1-6|24.10ᑖ^ᖪñîᑜóôA,B8õö÷⁚ùúᐳ100ûN8õùúḄôüஹýü᝞µ⊤:

4ᐗ/ᐗ/A3045B50701
ᖪ⚜3500ᐗᑣᔜ.2
ᖪ!Am├#ᢇᡠ&ᑭ(P,ᑏ*P+m,-Ḅ/ᦪᐵ23.3
ᖪ45BḄᦪ6789Aᦪ6Ḅ4:;&?ᑭ(ᨬABCᑭ(Dᐗ.25.10ᑖ᝞GᙠIJKLMA8C஺ONAOCḄIᑖP+LQRSTE.1
UVBE+5C=CD2
TE+T8WᔠXYZᑏ*KLMABC஺D[ᱯ]ḄIJKLM.26.12ᑖO^ᵯ`Ḅ“ᨽcὅ”⁚ghijklmḄcnopjqrls“cnctn“u᪥wxyz{ᑖlsḄ|᜜▅c6Jj᦮ᳮils|᜜▅cḄnᨬḄᨵ5ᨬḄᨵ8᪷ᑴj7#᦮ḄG⊤᝞Gᡠᦪ⚣ᦪᦪ⚣᳛5a0.26180.1714b880.16ᔠ50C⚣ᦪᡃm5⚣᳛=7┯᝞ᵫ⊤Oᡃm⍝ᙠO᪵ᦪ50|᜜▅c66Ḅkl᪵ᦪ18¢B£ᦪw¤Ḅ⚣᳛¥Dr=0.1.

51
þî⊤%ḄaஹbஹcḄ¤¢2
ÃÓ⚣ᦪᑖ⊤⊡ᐙ᦮3
ᡠᨵ᜜▅Ḅᙳᦪ4
᪥!ᐳᨵ600#$%&'᪷)*+,-.*/0ᑖ᪆᪥!᜜▅2'738Ḅ45ᦪ'67ᔩ9:ᑏ<%Ḅ=0>?.27.12ᑖABCD'EF=0GHDIᙢKLᵯᾯOP.QRᐗTUḄVW$XY1Z9ᨴ$OPḄ\ᩞᧇ_`abᥤᓣ$ePOPḄ\ᩞᧇ_`yifᐗAgᨴhxlḄamᦪஹmᦪᡈmᦪḄᨵᐵ$ᑏ

6§ὃ©ᫀ§ஹ⌱ª⚪(ᜧ⚪ᐳ12£¯⚪°¯⚪4ᑖᐳ48ᑖ.ᙠ°¯⚪±*ḄK£⌱⚗O³ᨵ§⚗D´ᔠ⚪g⌕UḄ.)1ஹBூ᪆௃·⚪ᑖ᪆A.7DO¹wºGMᦑB⌱⚗7ᔠ⚪¼½B.DO¹wºGMᦑB⌱⚗´ᔠ⚪¼½C.7DO¹wºGMᦑB⌱⚗7´ᔠ⚪¼½D.7DO¹wºGMᦑB⌱⚗7ᔠ⚪¼½ᦑ⌱B.ὃTO¹wºGM.2^Bூ᪆௃ூᑖ᪆௃᪷ᨵᳮᦪDᨵ▲¯ᦪᡈÃ▲ÄůᦪᔠÃᳮᦪḄ5JᑨÇᓽ?Éᫀ.ூ௃Aஹ7TDÃ▲7ÄůᦪËSÃᳮᦪᦑ⌱⚗┯̽Bஹ஺Dᨵᳮᦪᦑ⌱⚗ÍνCஹÏDÃᳮᦪᦑ⌱⚗┯̽DஹÐDÃᳮᦪᦑ⌱⚗┯Ìᦑ⌱B.ூTÑ௃⚪ὃjÒᦪḄᑖÓᨵᳮᦪDᨵ▲¯ᦪᡈÃ▲ÄůᦪDÔ⚪ḄᐵÕ.3ஹCூ᪆௃·⚪ᑖ᪆,••KLMABCDOZABC+ZBCD=360°-(NA+ND)=360஺-a,•PB=PCᑖØNABCஹNBCDḄIᑖP.•.ZPBC+ZPCB=(ZABC+ZBCD)=-(360°-a)=180°--a,22ÙÚ|NP=180°-(ZPBC+ZPCB)=180°-(180°--a)=-a.22ᦑ⌱C.

7ὃT1.LMᑁÜ+᜜Ü2.ÝÜMᑁÜ=5ᳮ.4ஹDூÔ᪆௃ூᑖ᪆௃ᵫGOA=10,OD=1.᪷ᱯ]ÜḄÝÜ/ᦪÞU*/AOBḄßᦪà᪷ᙊᕜ5ᳮU*NCḄßᦪ,à᪷ᙊᑁZKLMḄឋäU*NEḄßᦪᓽ.ூåÔ௃ᵫGOA=10,OD=1,ᙠRtAOADOVOA=10,OD=1,ADæ*§0P2=5,AOr/.tanZl=-----=v3N1=6O°,ODkᳮ?N2=60஺:.ZAOB=Z1+Z2=60°+60°=120°,AZC=60°,/.ZE=180°-60o=120°,ᓽèABᡠwḄᙊᕜÜḄßᦪD60஺ᡈ120஺ᦑ⌱D.rூTÑ௃⚪ὃjᙊᕜÜ5ᳮஹᙊᑁZKLMḄwÜé⊡ஹÔYÜÝÜMḄ¤ᵨìÍÎí*GMÓî¤ᵨQᐵïDÔ⚪ḄᐵÕ.5ஹDூÔ᪆௃᪷᦮3ḄðñòᑣᐜᑭᵨôU*aḄÞàõaḄÞöᐭᡠ⌕UÔḄøᦪ3Oᓽ?ᑮB⚪Éᫀ.ூåÔ௃Ôᵫ⚪¼a2—5=2a,ú3=—4஺+4+2஺+2=cr—2a+6=5+6=11

8ᦑ⌱rD.ூ
௃⚪ὃ᦮Ḅ®ᔠ°0$±⚪Ḅᐵ²ᙠ³ᑭᵨ᦮Ḅ°0´ᑣ¶·ᓄ¸¹ºᦪḄ»6ஹBூ᪆௃ᵫ½¾ᡠ᪗ÀÁ+ÂÃᙽḄᦪ.$ÅÆaᑡᨵ2È$ÉÆaᑡᨵ1È.ூ௃᪷)½¾ḄeᦪÊËÀÁÂÃᙽḄᦪ$¹<̾ᨵ2ᑡ$XÅᑮÉḄᑡᦪᑖÎË2,1.ᦑ⌱B.ூ
௃⚪ὃÏоᑨÒÓÔÕ$ᵨᑮḄÖ˽¾ஹ̾$ᐵ²Ë᪷)Ð×¾klḄᐵo*ؾ3ÙᱥklḄᐵo.7ஹDூ᪆௃᪷)ÛᙊḄÀÁᐵoஹÝ3ᙊḄÀÁᐵoᑨÒᓽ..ூ௃A.᝞-ßaᙊ+ḄÖàᙠßᙊḄ᜜á$âã¥Ûᙊ᜜äᡈᑁæ$AËᎷè⚪B.᝞-aÖᓽᙠßaᙊ+$éᙠßᙊ+$âã¥Ûᙊ᜜ᑗᡈᑁᑗᡈëì$BËᎷè⚪C.᝞-aᩩÝ+ḄÖᑮᙊîḄïäð³ñòó$âã¥ᩩÝg¥ᙊëᑗᡈëì$CËᎷè⚪D.᝞-aᩩÝ+ḄÖàᙠaᙊḄ᜜á$âã¥ᩩÝg¥ᙊëä$DËôè⚪ᦑ⌱rD.ூ
௃⚪ὃÏÛᙊḄÀÁᐵorõÛᙊñòᑖÎ'Rஹr,Ûᙊᙊîï'd,ᑣöd>R+r÷Ûᙊ᜜äö4=/?+÷Ûᙊ᜜ᑗöR-rVdVR+r(/?>r)÷Ûᙊëìd=R-r(R>r)÷ÛᙊᑁᑗöOVR-r(R>r)÷Ûᙊᑁæ.8ஹCூ᪆௃ᑭᵨøùúᐗ´±¥ᐗa?û.ூ௃(4x+3y=6.........জü.12x+y=4……ঝজ-ঝX2,¹ry=-2,

9ýy=-2ºᐭঝ
2x-2=4,
x=3,x=3ᡠḄ.y=_2ᦑ⌱C.ூ
௃⚪ὃᐗᐗ⚪Ḅᐵ!ᐗ"ᓄᡂᐗ⚪%&'ᐺ)*+〉-.9ஹDூ᪆௃ᐜ025100ᵨ234ᦪ6⊤892.51x10:;IO'<=>2.51x10-5?.ᦑ⌱D10ஹDூ᪆௃᪷AB&CDᦪḄឋF&CGᦪḄHIJK⌲⚗ᑖ᪆P
Q.ூ௃2জᵫ>AஹBᙠUB&CDᦪy=—WXYᵫB&CGᦪḄHIJKP
SAODB=SAOCA=1,Z[\Xঝᵫ>^_OCMDஹAODB,AOCA9`aᑣcd_MAOBḄ☢fghijkᓄZ[\ঞmnOM,AMCḄ-o!)SAODM=SAOCM=",pSAODB=SAOCA=1,ᡠqOBDqOBM☢f<B2`MDḄ-.Z[\ᦑrᫀ⌱D.ὃB&CGᦪḄHIJK.11ஹCூ᪆௃t⚪᪆uজvW_-ᐳᨵ3vy_3=z+2uঝvW_-ᐳᨵ7vy_7=22+3

10üঞ£GMOᐳᨵ13£þM13=32+4ün£GMOþMḄ£ᦪn2+n+lüত
Ḅᦪ92+9+1=1.ᦑ⌱C.ὃ
Ḅᓄ.12ஹBூ᪆௃y,ᜓ᳛x,ᦪk,ᑣᵫ⚪$%y=-,ᦇ=400x7.5%=30,X--30y=—*X30.•.,x=8%-*y=—=375./0*•8%V400-375=25,...1234525/.ᦑ⌱B.6ஹ78⚪.9ᜧ⚪ᐳ6<⚪*=<⚪4ᑖ*ᐳ24ᑖ.013ஹV2ூ᪆௃?@OA,OC,᪷BNCOA=2NCBA=90஺DEAC=20ᯠGᙠRtAACDᑭᵨKLMᦪᓽD%CDḄO.ூ௃P?@OA,OC,VZCOA=2ZCBA=90°,...ᙠRtAAOC*AC=79A2+OC2=722+22=25/2VCD±AB,:.ᙠRtAACD*CD=ACsinZCAD=20x'=0,2ᦑRᫀQ.

11cூV௃9⚪ὃX5ᙊᕜL[ᳮ]^┦LKLMᦪ*᪷B⚪$`EᵨabcdP⚪ᐵf.14ஹ20ூP᪆௃᪷BhᱥcḄP᪆jkᔠhᱥcmBஹC,ᓽ%ECḄnᙶ᪗*ᵫḄឋr%EAD=AB=BC=1,s᪷Btu[ᳮDEOBḄOv*ᝅᵨx2yzḄ☢|}jᓽ%EABCDḄ☢|.ூ~P௃hᱥcḄx=--=--.2a2•.•hᱥcy=-x2-lx+cmBஹC,Bᙠy*BC஻x*•••CḄnᙶ᪗-1.•••yzABCD*.*.AB=BC=AD=L6DḄᙶ᪗(-2,0),OA=2.ᙠRtAABC,AB=1,OA=2,.-.OB=7AB2-(?A2=4»:.Sy_ABCD=AD»OB=1X4=3.ᦑRᫀ3.ூV௃9⚪ὃX56Mᦪ
Ḅᙶ᪗ᱯஹ6MᦪḄឋrஹḄឋr]^x2yzḄ☢|*᪷B6MᦪḄឋrஹḄឋrkᔠtu[ᳮDEAD=1ஹOB=4dP⚪Ḅᐵf.115ஹ-3ூP᪆௃᝞Wᑖ}~A,BAE_LBF±Z,,BD_L4,ᚖᑖ}9E,F,D.

126•ABCῪLKL*.*.AC=BC,ZACB=90°,AZACE+ZBCF=90°.VAE1,BF±4ZCAE+ZACE=90°,ZCBF+ZBCF=90°,/.ZCAE=ZBCF,ZACE=ZCBF.VZCAE=ZBCF,AC=BC,ZACE=ZCBF,AAACE^ACBF,.\CE=BF,AE=CF.x2cd=Lᑣ|CE=BF=BD=LAE=CF=2,AD=EF=CE+CF=3,BDJ/.tana=tanNBAD==-.AD3V:ᑖmA,B`AE±4,BF±BD1hᚖᑖE,F,D,᪷BASAACECBF,x2cd=LDEADஹBDḄ9⚪ὃX5ᐰKLḄᑨ[┦LKLMᦪ*P⚪Ḅᐵfdᔠᳮ¡abc᪀⌼ᐰKL16ஹ>ூP᪆௃¥⚪P᪆•.•¦vg.,•4

13-1),.•.(m,n)ᙠMᦪº=9
Ḅᭆ᳛d-=ᦑRᫀ1.x1233ὃ¹Mᦪ
Ḅᙶ᪗ᱯᑡ⊤¾¿᪛²
¾.18ஹ21ூ᪆௃=ÀᨵinÁÂÃ*᝞ÅÆÇÈᜫÊ*=ËÂÃÌÍ41ÎÏÐÑ*ᐳÒ41nÎᐗ*ᵫ⚪$%ÇÅ2ÅÆᜫÊḄᭆ᳛p=i.ini5,ᡠ]ÌÍḄÕᦪ4ininixi.ini5=2niᐗ*ᓽ%Ö4×1ᦈÙÚ◅Ü=ÏÝ?=21ᐗ.KஹPR⚪(9ᜧ⚪ᐳ9<⚪*ᐳ78ᑖ*PR×ᑏEᦻâãஹmäᡈæçèé.19ஹপëP᪆;ফg.ூ᪆௃(1)?@OC,᪷BῪKLḄឋr%ᑮNOCB=NB,ZOCB=ZF,᪷Bᚖï[ᳮ%ᑮOF_LBC,᪷BðLḄឋr%ᑮNOCF=90஺*ñd%ᑮkò(2)mD`DHJ_ABñH,᪷BKLḄËcḄóô⍝ḄOD=^AC,᪷Bx2yzḄឋr%ᑮDF=AC,2OD=x,%Ö¯|AC=DF=2x,᪷Bö÷[ᳮ%ÖljCD=V2x,D%BD=0x,᪷Btu[ᳮ%ÖAD=7AC24-CD2=A/6X»ñd%ᑮkò.ூ௃P(D?@OC,VOC=OB,/.ZOCB=ZB,VZB=ZF,.•.ZOCB=ZF,•••DBCḄ,.*.OF±BC,:.ZF+ZFCD=90°,:.ZOCB+ZFCD=90°,

14:.ZOCF=90°,CF஺OḄᑗc(2)mD`DH_LABñH,VAO=OB,CD=DB,I.,.OD=-AC,2•••yzACFDdx2yz*/.DF=AC,OD=x,.*.AC=DF=2x,VZOCF=90°,CD±OF,.,,CD2=OD.DF=2X2,.*.CD=V2xBD=x,AD=VAC2+C£>2=«X'VOD=x,BD=J5x,.,.OB=GX,.CD-BD5/6..DnuH=-----------=x,OB3DH1sinNBAD=-----=—.AD3ூV௃9⚪ὃX5ᑗcḄᑨ[ឋr*x2yzḄឋr*ᚖï[ᳮ*ö÷[ᳮ*tu[ᳮ*KLMᦪḄ[ù*úûḄ`EabcdP⚪Ḅᐵf.20ஹ(1)2m(2)27mூP᪆௃(1)✌ᐜ᪀⌼LKLAEM,ᑭᵨtan22°=AM,DEᓽ.ME(2)ᑭᵨRtAAME*COS220=——DEAEᓽ.AEூ~P௃P(DmE`EMJ_AB,ᚖM.

15ABx.ᙠRtAABF*NAFB=45஺,BF=AB=x,.•.BC=BF+FC=x+l.ᙠRtAAEM*NAEM=22°,AM=AB-BM=AB-CE=x-2,oAMx—22þ.tan22=------,..---------«—,x=2.MEx+135ᦟḄ2m.(2)ᵫ(1)ME=BC=x+lu2+l=3.ᙠRtAAME,:.AE=MEcos22°=25x—«27.16:.AஹEḄ27m.21ஹ2G.ூ᪆௃ADAC⚪ᑖ᪆ACDSAABC,ᑣ=——ᓽ"AC2=ADAB,#$"ACḄ%.ACABADAC⚪᪆VZACD=ZABC,ZA=ZA,/.
ACD^AABC.:.——=—VAD=2,AB=6,ACAB2AC•*------=-------AC'—12••,«AC=2V3•AC6ὃ()*+,-Ḅᑨ/0ឋ2.222ஹ(1)34᪆5(2)P=~.ூ᪆௃⚪ᑖ᪆(1)᪛78ᑡ:ᡠᨵ=>.(2)ᵨᙠ@ABC▲Ḅ(ᦪ◀Gᡠᨵ=>.⚪᪆

16প᪛W
2-1-34/N/N/N/T\1-342-342-142-1-3ᑣ(m,n)ᐳᨵ12PḄ(2,-1),(2,-3),(2,4),(-1,2),(-1,-3),(1,4),(-3,2),(-3,-1),(-3,4),(-4,2),(4,-1),(4,-3).(2)(m,n)ᙠஹcX▲Ḅ(2,-1),(2,-3),(-1,2),(-3,2),(-3,4),(-4,2),(4,-1),(4,-3),Q2...ᡠ⌱QḄ஻ᙠuஹcX▲Ḅᭆ᳛9p=—=—123(1)ᑭᵨ⚣᳛6ᜧt-4ijḄ⚣᳛h`ᙠv¡ᦪp▬£¤¥¦v¡ᦪP§¨©AḄᭆ᳛(ᨵ«¬᎛ᵨ®QAijḄᡠᨵ⚣᳛Ḅ¯ᙳa9ᐸᭆ᳛).(2)`K6᝞ᙠt-ᨵ"PḄ´µ¶·ijḄPឋ¸<ὃ¹Aᒹ»ᐸ-Ḅ¼-¤¥AijḄᭆ᳛9P(A)=.n(3)ᑡ⊤6¾t⌕À®ÁvpÂPQÃḄᦪ%'Ĭ9ggÅᙢᑡQᡠᨵPḄÇ¡Èᵨᑡ⊤6.ᐸ-vpÂ9É᪗ËvpÂ9ᑡ᪗.(4)᪛W6¾t⌕À®vᡈÍÄḄp¬ᵨᑡ⊤6§gÎ9ggÅᙢᑡQᡠᨵPḄÇ¡Èᵨ᪛W6Ïᭆ᳛.23ஹGூ᪆௃ᐜÐᐭÒDᦪaஹᓄÓ᪷Ôஹ®Õᢣᦪ×ஹØÙÚaÛÜ;®=6ᨬÞ®ßàP
.ூ௃Ô=-25/3+1+V3—12=2V3-2V3+l+>/3-lூ௃⚪ä⌕ὃåᦪḄæᔠè⚪ḄᐵéêëìåᦪḄæᔠèíîè6ᑣïÕᢣᦪðஹÙÚa᪷ÔḄឋF.24ஹ(1)ñòóA)ôõ75öB)ôõ25ö\(2)P=-5m+2000(3)ᖪøòóA)ôõ20öB)ôõ80ö,├ûü¦ᢇôõ¬þᑭᨬĬᑭÿ1900ᐗ.

17ூ᪆௃(1)ᖪAx⊤B(100-x)ᯠ᪷=Ḅ+BḄᑡᓽ!"(2)᪷⚪$ᑡᓽ!"(3)ᖪ├&'(ᢇ!*ᑭyᐗ᪷*ᑭ,-./Ḅ*ᑭ01ᑡ2᦮ᳮ5xḄ679ᯠ᪷:;<ᦪḄ>?ឋ*ᑭḄᨬᜧ7.ூ௃C(DᖪAxᑣB(10()-x)᪷⚪$E30X+50(100-x)=3500,Ex=75,ᡠG100-75=25,HCA75B25"(2)ᖪ├&'(ᢇ!*ᑭPᐗIJKP=(45-30)m+(70-50)(100-m),=15mJ+2000-20m,=-5m+2000,ᓽP=-5m+2000,(3)...BḄᦪLMNOAᦪLḄ4PQ100-m<4m,.*•m>20>Vk=-5<0,PRmḄ>ᜧS?T...m=20UP6Eᨬᜧ7-5x20+2000=1900(ᐗ)HCᖪA20B80├&'(ᢇU*ᑭᨬXYUᑭZ1900ᐗ.ூ\]௃_⚪ὃab:;<ᦪc:ᐗ:;Ḅᵨ⚪ḄᐵfghiḄjk:;<ᦪc:ᐗ:;Ḅᵨ.25ஹ(1)m᪆"ফpq.ூ᪆௃(I)᪷rsᑖuḄឋv!ENADE=NCDE,5ᵫs~uḄឋv!EAB஻CD,᧕EAD=AE,S!E"(2)\Ec\Bᔠ!EAD=AB,᪷,Ḅs~qgpqᓽ!ᑨ.ூ௃(1)TDEsᑖNADC,

18/.ZADE=ZCDE.VBH-ABCDIJKBH-:.AB//CD,AB=CD,AD=BC,AB=CD.VZAED=ZCDE.AZADE=ZAED./.AD=AE..\BC=AE.VAB=AE+EB..*.BE+BC=CD.ফM-ᳮᵫ᝞PᵫপRAD=AE,•.•(E0BTᔠ.\AD=AB.VBH-ABCDIJKBH-JKBH-ABCDM-.ூ(W௃Y⚪ὃZ[JKBH-Ḅឋ2JK\Ḅឋ2]Ὺ+,-Ḅឋ2M-Ḅឋ2_`abᔜRdI⚪Ḅᐵf.26ஹ(1)10ஹ0.28ஹ1(2)4᪆5(3)6.4Y5(4)264g5ூ᪆௃ᡠᓰiᦪ(1)᪷klᑖm="^pqrᓽ5siᦪ(2)t"auiᦪv"wx8ᓽ5(3)᪷kJᙳᦪḄ/zqrᓽ5(4)ᑭᵨ᪵Y}qs~Ḅ⚪ᓽ5ூ௃(1)a=50x0.2=10,b=144-50=0.28c=50+50=l(2)⊡ᐰ8-᝞P

1910x5+6x18+7x14+8x8(3)ᡠᨵZ᜜▅ḄJᙳYᦪ==6.4(Y)5014+8(4)᪥ᐳᨵ600g᪥᜜▅7Y8YḄsiᦪᨵ600x=264(g).50ூ(W௃Y⚪ὃZ⚣ᦪᑖwx8ஹ᪵Y}qs~]Rd⚪ḄᐵfI_`abYᭆᮣᵨᡠRd⚪ὃὃ⚪.27ஹ(1)yi=20x+540,y=10x+l(2)¡4ᨴ├¤¥¦Ḅᑭ§ᨬᜧᨬᜧᑭ§450ªᐗ.2ூ᪆௃(1)ᑭᵨ¬/ᦪ®=ᔠ8C¯(Ḅᙶ᪗t"²³ᦪ᪆´ᓽ5(2)᪷kµ¶¦¥¦Ḅi·ᡂY50ᐗᐸºᡂY30ᐗG»¤¼├½¾$t"ᨬᜧᑭ§.ூ௃(1)ᑭᵨ⊤À"³ᦪᐵI²³ᦪᐵÁyi=kx+b,(Â+i=560*••12Â+8=580,ᦇ=20ீi=540,.,.yi=20x+540,ᑭᵨ8C"³ᦪᐵI²³ᦪᐵ:Áyz=ax+c,10a+c=73012a+c=750,4Z=10:c=630,•*.y2=10x+l.

20(2)¡1Ç9ᨴÈ├¤¥¦Ḅᑭ§w=pi(1000-50-30-yi),=(O.lx+1.1)(1000-50-30-20x-540)=-2x2+16x+418,=-2(x-4)2+450,(l361,.•.¡4ᨴ├¤¥¦Ḅᑭ§ᨬᜧᨬᜧᑭ§450ªᐗ.ூ(W௃Î⚪Ï⌕ὃZ[²³ᦪḄÑᵨ᪷kÒR"³ᦪᐵ´G»ᑭᵨ³ᦪÓÔឋ"³ᦪᨬÕI⚪ᐵf.