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ᓅ2021-2022ᦪ⚪ஹ⌱⚪ᐳ10⚪⚪4ᑖᐳ40ᑖ.ᙠ⚪ᑡḄ⌱⚗!⌱"ᔠ⚪$⌕&Ḅ⚗.1.A*Ḅ+,-.A.20B.10C.5D.22.-1%.4ḄJKL!M2ḄNᦪ,-.A.12B.-12C.6D.-63.012ᦣ45678XḄᑖ:ᑡ⊤ᑣXḄᦪ>E-X.@A-.A.0.3B.0.8C.1.2D.1.34,RSᦪ/*.=Wᑣ-প=-.x+l1A.0B.---C.1D.-445.Z1Sᦪy=f-x.Ḅ^ᑖ_`_ᡠbᐸ!A-᳝,/-᳝..,8-/,/-..-g/-g..,_hijkḄlᑣᑡmnopḄq-.A../-r.s,t-u2.s/'-᳝.B.c./'-X3.sr-xjsr-w.D.ra.sr-F.sr-w.6.Z1}~▬Rᨵ4,B,C,D4
1᪶⏚l~⌱l᪶⏚Ḅ3~⌕᪶⏚ᑣlḄ⌱ᐳᨵ-.A.64B.81C.7D.127.!ᦪ℉!ᨵ᪵⚪¡ᨵ¢ஹ£ஹ¤¥¦§§¨©ª«¬ᧅ¤¨®“ᡃ¤¥±£ஹ"£¨®“ᡃ£¥±¢”¡´⊦¶ªᔜ¸¹º»⚪Ḅ¼ᦻq¡ᨵ¢£¤ᔛ¿À¦ḄÁ§Á§¨¦⌕&¶5ᧅ«¤¨¦Ã“ᡃ¤ᡠᔛḄÁ§Äᨵ£Ḅ±”£¨¦Ã“ᡃ£ᡠᔛḄÁ§Äᨵ¢Ḅ±”ᡭᢥ»ÇȶÉÊËᔜ̶ÉÍκ⚪!¢¨¦Ì¶É-.ᧅ«520510A.-B.—C.-D.—77278.ÐÑÒᑁÔÕᱥ×ØḄᨵᦔÚÛqÜÝÞÒᑁßᐭáâãäᓽKæçèᣚä.ᙠ}Òᑁãä!ÔÕᱥ×Ø-c.5KæçèᣚäÝê-/.ḄᐵN_ᡠb.ᑣᑡÝêìᑁãä!ÔÕᱥ×Ø7ᓄḄîᙳðØᨬòḄq-.C.[5,20]D.[5,35]9.Z1ᦪᑡö“ø,ᔜ⚗ᙳ,ᦪḄ@úᦪᑡûú,d,ýq=l,4=25,ᑣ+dḄᨬA.9B.10C.11D.1210.°ᦪ/=/+"2+○+$Ḅᜧ'$ᑣ(ᑡ*+,-⚪ḄA.axGR,/x3/xB./a456ᙠ'0C.8=0,ᑣ4/ᦪ/XḄ'D.86=0,ᑣ;0<ஹ>?⚪ᐳ5⚪$A⚪5ᑖ$ᐳ25ᑖ.11.CDᦪᑡE«„H4=3,%=7,ᑣ%=.12.LM᪥O⍸Q5RMSTUVḄ3RWX4YZ[\$ᐸVᵬ_MTU`aWX$ᑣ,_Ḅ⍸Qbcᨵe.13.LfghᓬA,BjeklḄmf$jemfḄno8:2,ᐸVAklmfrs᳛75%,B
2klmfrs᳛90%,ᑣuv4wxfgmfrsfḄᭆ᳛.14.ᦪ/z=6.—xḄᨬ.15.ᦪᑡE4H,|},C~<_1+4ᔣᐸVeN*,22,ᦪᑡE4H(Y*+জa-a>a-a4332ঝᦪᑡE"“H45⌴ᦪᑡঞᦪᑡEH⚗~=2"টᦪᑡEHḄ⚗~=2-6.ᡠᨵ-*+Ḅl.ஹ¡⚪ᐳ6⚪$ᐳ85ᑖ.¡¢ᑏ`⌕Ḅᦻ¦§¨ஹ©ª«¬ᡈ®¨¯°.3ஹ"16. x+±²³~V´2⚗µ´5⚗Ḅ<⚗~¶ᦪ·C.Ix1¹”Ḅ2¹²³~Vᔜ⚗¶ᦪḄ¼3ᑨ¾²³~Vᔲ6ᙠÀᦪ⚗$Á§¨ᳮᵫ.17.ᦪ/x=V4f.1¹fxᓫÇÈÉ2¹“XᙠÈÉÊ0,2ËÌḄᨬ.18.(⊤Î<ÏÐLÑMSÒÓᏉÕÖ×ᡂÙÚᑖᑴḄ⚣᳛ᑖÝ⊤$ᙠÊ65,75ᑖᦪÞᑁḄMSᦪ14à.ᑖᦪÞ[65,70)[70,75)[75,80)[80,85)[85,90)[90,95)[95,1001⚣᳛0.120.160.20.180.140.1a1¹Ö×ᡂÙᙠÊ95,100ËᑖᦪÞᑁḄàᦪ32ãäÊ95,100ËᑖᦪÞᑁḄMSVå2àæ⊤xÑWX᪥Ðnç$8è2àéᵱSḄᭆ᳛ë,¹Ê95,100ËᑖᦪÞᑁᵱSḄàᦪ;
33 8ᙠ65,70 ᑖᦪÞᑁḄSᨵ4à$ãä65,70 ᑖᦪÞᑁḄMSVîïå3àWXÒÓðᓣòóô$õXäxôöḄᵱSàᦪ$¹XḄᑖÝᑡ¼ᦪM÷øEX .19.ᦪᑡ4CDᦪᑡ$ù⚗¼S“$ᦪᑡEH~q>0,4Hl nḄCnᦪᑡ$úa=b=1,5=9,5=û+4+5.351 ¹ᦪᑡq,ÏH⚗~2 ¹ᦪᑡHḄù⚗¼73 ᦪᑡc,|}c“=log«a44,õᦪᑡE%HḄù⚗¼¹”"Ḅᨬ.20.ᦪ/x =xlnx.1¹üýy=þx ᙠ'1,/প ᜐḄᑗ2 ᦪgx =/x +£/ᙠᵪᓫ⌴ᦪḄ.3 /! +/+2>0.21.#ᙠ$%ᦪMᡈ'()*ᑗ“GN*+ᨵ44Mᡈᑣ.ᦪᑡ0%2ᡈ34ᦪᑡ45ᨵ46ᨵ34ᑣ.ᦪᑡ47“ᨵ419:4;ᦪᑡḄ<⚗>?3জ4=2eঝ"=4+,ঞc“=2+lটd“=*1 ᵨ.HᑏJnᐸL“ᨵ4ᦪᑡ”ḄNOফJ=R^,ᑨUᦪᑡ4Vᔲ7“ᨵ4ᦪᑡ”Xᳮᵫ3 ᙠ2Ḅᩩ\3]ᦪᑡ0%2Ḅ^⚗_7S“Vᔲ#ᙠ`ᦪbc2%,+ᨵS,,<*1ᡂfg#ᙠJkḄh#ᙠXᳮᵫ.
4ᓅjklm2021-2022nopq3nrrsᦪnt⚪*ஹ⌱x⚪ᐳ10z⚪{z⚪4ᑖᐳ40ᑖ.ᙠ{z⚪ᑡJḄ};⌱⚗L⌱J~ᔠ⚪⌕Ḅ*⚗.1.AḄ7A.20B.10C.5D.2ூᫀAூ᪆ூᑖ᪆ᵫᑡᦪm.ூA=5x4=20ᦑ⌱A.2.1-4Ḅ?L/Ḅᦪ7A.12B.-12C.6D.—6ூᫀCூ᪆ூᑖ᪆ᑏJ?Ḅ<⚗¡ᐭ£¤;ூq⚗?1*x4?Ḅ<⚗7*=G—X',ᡠ«n=C—X 2=6/,ᓽ«Ḅᦪ76ᦑ⌱c3.9:¯ᦣ±²³´µXḄᑖ¶ᑡ3⊤ᑣXḄᦪnr¸EXº)X012P0.2a0.5A.0.3B.0.8C.1.2D.1.3ூᫀDூ᪆ூᑖ᪆᪷¼ᑖ¶ᑡḄឋ¾J᪷¼r¸>?£¤ூ¿⚪À£¤0.2+a+0.5=l,¤a=0.3,
5ᡠ«E(X)=OxO.2+lx().3+2xO.5=1.3ᦑ⌱D4.Èᦪ/x=—1—ᑣ/"=x+111A.0B.**C.1D.-44ூᫀBூ᪆ூᑖ᪆JÉᦪÊË¡ᐭ.ூÌ7ᦪ/“=Í*ᡠ«rx=*1Îᡠ«Ïপ:*4.x+lÒ+14ᦑ⌱B5.9:ᦪy=fx ḄÓᑖÔÕÔᡠÖᐸL4%,/×,8,/Ò2 Ù/Ú7ÔÎ;hÛḄÜᑣ3ᑡÝÞ`ßḄVA./'àá/'2/'᳝B./'Ùá/'£árxjc./'᳝á/'äá/'D.,fx.fA.fx132ூᫀBூ᪆ூᑖ᪆ÝᔠᦪÔåæÉᦪḄçèÀmᑨUᓽ£ூᵫÔ£:ᦪᙠAÜḄᑗé᳛z)0,ᓽ/'᳝ë0,ᙠOÜḄᑗé᳛º)0,ᓽ/'/ =0ᙠÜḄᑗé᳛ᜧ)0,ᓽ/'Ùá0,
6ᡠ«/'᳝á/'á/'᳝;ᦑ⌱B6.9:$íîz▬ðÈᨵA,B,C,04;᪶⏚óôÜí⌱xõÀ*;Üö÷ø᪶⏚óôùúzḄ3öíî⌕÷ø᪶⏚óôᑣóôÜḄ⌱xᐳᨵA.64ûB.81ûC.7ûD.12ûூᫀAூ᪆ூᑖ᪆ᵫᑖþᦪÿᳮ.ூ3⌱,ᦪ43=64.ᦑ⌱A.7.!"#ᦪ$%℉'()*+ᨵ-᪵/01⚪3ᨵ4ஹ6ஹ789:;:<=>?@ᧅ;7;1ᔜMNOPQ1⚪ḄSᦻU3ᨵ4;6;7ᔛWX9ḄY:;Y:<9⌕[\K5ᧅ?;7<9^“ᡃ7ᡠᔛḄY:`ᨵ6Ḅ/E;”6<9^“ᡃ6ᡠᔛḄY:`ᨵ4Ḅ/E”ᡭᢥQcdKe;fgᔜhKeijPk1l1⚪4<9hKemnᧅ?520q510A.-B.—C.—D.—7727ூxᫀBூ᪆ூᑖ᪆4<9hKexᧅ?;ᵫ⚪~ᑡᓽ.VVூ4<9hKeXᧅ?;ᑣ6<9hKe/ᧅ?;7<9hKe/ᧅ?;24ᡠXH---1——5,X=—.247ᦑ⌱B8.ᑁᱥḄᨵᦔUᑁᐭ;ᓽ¡ᣚ.ᙠ¤ᑁ;ᱥmcn¦¡ᣚ§UnḄᐵª¬ᡠ®.ᑣ¬ᑡ§¯ᑁ;ᱥ°ᓄḄ²ᙳ´ᨬ¶ḄUmn
7C.[5,20]D.[5,351ூxᫀCூ᪆ூᑖ᪆·¸¹Ḅ;ᑭᵨ¼½Ḅ¾᳛À²ᙳ°ᓄ᳛ḄÁᑨÃᓽ;ூᑖXÅ;=5ஹ1=1()ஹf=15ஹr=20ஹf=35ᡠÆhḄAஹBஹCஹDஹE,ᵫÇ0>ÈB>kAC>kAE>kAD<ᡠ5,20ᑁᱥ°ᓄḄ²ᙳ´ᨬ¶;9.ÉÇᦪᑡqᔜ⚗ᙳᦪḄÌÍᦪᑡ;d,Îq=l,q=25,ᑣ+4ḄᨬÑÒ()A.9B.10C.11D.12ூxᫀCூ᪆
824ூᑖ᪆ᵫ⚪~(-l)d=24,d=——;ᵫ×ÌÍᦪᑡḄᔜ⚗ᙳØᦪ;ᑮÚÍdÛØn-1ᦪ;ᓽ24ḄÜᦪ;ÝÞ[MßhḄḄÒ;àÞ[M+dḄᨬÑÒூá4=1,4=25,ᡠ=q+(/l)d=l+(n-l)d=25,ᡠ(-1Æã24,24ᡠd=/,n-1áᦪᑡå4æᔜ⚗ᙳᦪḄÌÍᦪᑡ;ᡠÚÍdÛØᦪ;ᡠd`çU1;2,3,4,6,8,12,24,Q”ḄßhèÒ25,13,9,1,5,4,3,2,ᡠ+4ḄᑖX26,15,12,11,11,12,15,26,ᡠ+dḄᨬÑÒ11,ᦑ⌱C10.ÉÇUéᦪ/(ᑘ=/+2++ḄᜧÒ;ᑣ¬ᑡïðñòóḄU()A.3XGR,/(X)>/(X)B.f(x)/õᙠÑÒ0C.Î=0,ᑣ//UéᦪAx)ḄÑÒD.Îᓃ=0,ᑣ<0ூxᫀDூ᪆ூᑖ᪆[Møéᦪ/'(x),/'(x)=0ᨵú0ñÌû᪷;ᯠþᵫÒஹᓫ ឋ/'(x)=0Ḅ᪷Ḅᐵᑨᔜ⌱⚗.ூf'(x)=3x2+2ax+b,%ᜧ/'(=0ᨵ"#$%&᪷'=4/_i2Z?>0ᓽ2>323/'(x)=0ᨵ"$%&᪷456Xᜧᑣx0,=<%<;/'(x)<0,?=x>x,;/)>0,4@.BBCDᵫFX->+8;f(x)f+oo,KLABCDN=0,ᑣOx)=3f+8,/7<0"'(x)=0Ḅ"RSTUᦪᓽW=X%,CBCD
98=0;a2>0>()D┯.ᦑ⌱]D. ஹ⚪ᐳ5⚪⚪5ᑖᐳ25ᑖ.11._`%aᦪᑡ{d,},%=3,%=7,ᑣ4=.ூfᫀ5ூ᪆ூᑖ᪆ᵫ%aᦪᑡḄឋklm.ூᵫ⚪o2%=4+%=1°4=5.ᦑfᫀS]5.12.qr᪥t⍸v5wrxyz{Ḅ3w|}X#~ᐸ{ᵬryz|}ᑣ$Ḅ⍸vᨵ.ூfᫀ6ூ᪆ூᑖ᪆?ᒕḄwyz{⌱2wᓽ.ூᵬryz|}ᑣ◤?ᒕḄ4wyz{⌱2wᦪSCD=6.ᦑfᫀ]6.13._`qᓬA,B"Ḅ"ḄS8]2,ᐸ{A᳛S75%,B᳛S90%,ᑣX¡SḄᭆ᳛S.ூfᫀ78%##078ூ᪆ூᑖ᪆᪷¤ᐰᭆ᳛¦§¨©ª.Q2ூ᪷¤⚪oX¡SḄḄᭆ᳛S]—x75%+—x90%=78%.1010ᦑfᫀS]78%.14.ᦪ/(x)=eAi—xḄᨬ@S.ூfᫀ1ூ᪆ூᑖ᪆ª°±ᦪC²ᓫ ឋᨬ@.ூO=´—1,ᵫ/'(x)>0x>-l,/'(<0¶10/·x¸ᙠ·Y,-l¸»⌴½ᙠ·-1,+8¸»⌴¾ᡠÀ/·X¸Ḅ@Áᨬ@S·—1¸=1.ᦑfᫀS]1.15._`ᦪᑡÃ4Ä,ÅÆ$%§2%4%_1+ᔣ·ᐸ{2¸,ÈFᦪᑡÃÄÉ°À#ÊË]জa-a>a-a-4332ঝᦪᑡÃÍÄX²⌴¾ᦪᑡDঞᦪᑡÃÍÄÏ⚗¦§À4=2"DটᦪᑡÃÍÄḄÏ⚗¦§ÀÑ=/-6.ᡠᨵBCÊËḄÓ.ூfᫀজঞটூ᪆ூᑖ᪆ª%X33X%Ḅᜧ@ᐵᑨজDÕUᔲ²ঝDᑭᵨ⚪ÉᩩÚÛᦪᑡÃ%ÄḄÏ⚗¦§Àq=2"ݲঞDᑭᵨ⚪ÉᩩÚÛᦪᑡÔ“ÄḄÏ⚗¦§Àq=2-6ݲট.ூᦪᑡÃa“ÄÅÆ$%§2%Wa“T+a”+1·ᐸ{eN*,22¸,ᑣᨵ“X,14ᵨX“·ᐸ{eN*,N2¸,জᵫ24a4X%,4X4åᵪX•ᑨBCDঝè4=6;ÅÆ2a<%+a,ᦪᑡÃ4ÄSéᦪᑡ.nn+iᑣᦪᑡÃ4Ä$X²⌴¾ᦪᑡ.ᑨ┯êDঞè4=2";ᵫ2'"'>0>2*2"V2"T+2ᔣᓽ$%§2“ᡂíᑣᦪᑡÃd,ÄḄÏ⚗¦§À4=2".ᑨBCDটèa=n2-6n;n2a„+a„¸=2·n2-6H¸-ñ·n-l¸2-6·n-l¸+·n+l¸2-6·7?+l¸ò=-2<0+1ᑣ$%§2%11ᦑfᫀS]জঞটôஹf⚪ᐳ6@⚪ᐳ85ᑖ.f÷ᑏ°⌕ḄᦻûüÛஹ6mýþᡈ .16.x+3Ḅ2⚗5⚗Ḅ⚗ᦪ.(1)Ḅ"#(2)ᔜ⚗ᦪḄ%#(3)ᑨ'(ᔲ*ᙠ,ᦪ⚗-./ᳮᵫ.ூ3ᫀ(1)5#(2)1024#(3)8*ᙠ.ூ9᪆ூᑖ᪆(1)ᑭᵨ2⚗5⚗Ḅ⚗ᦪ-ᑡ?CA=CA,ᓽE9F#(2)ᑭᵨG"HIx=lKᐭEF#(3)ᑭᵨM⚗Nᑡ?9ᓽE.ூOP1Q9X+SḄḄM⚗NTT.M=3'CAx"-2r.Ix)\x)ZT2⚗5⚗Ḅ⚗ᦪ-ᡠ\C#=CA,9FA“=5.ூOP2Q9⌕ᔜ⚗ᦪḄ%-_◤Ix=lKᐭEFA(1+3)5=1024.ᓽᔜ⚗ᦪḄ%T1024.ூOP3Q9⌕Ḅ,ᦪ⚗-_◤ᙠ(+i=3'C"5-2,-I5—2r=0,creN*,ᡠ\g9-ᓽ8*ᙠ,ᦪ⚗.17.iᦪf(x)=x3-x2.(1)f(x)ᓫlmn#(2)f(x)ᙠmn0,2oḄᨬ".ூ3ᫀ(1)/*)ᓫl⌴smnT(—8,0),+e),ᓫl⌴umnT4(2)ᨬO"T-v-ᨬᜧ"T427
12ூ9᪆ூᑖ᪆x1yᐜ{|}-~-ᑭᵨiᦪḄᓫlmn#x2yᔠvPᨬO"-~"ᨬᜧ".ூOP1Q9/xxy=-x2{|}TR,f' x-3x2-2x,2Irxxy>0FA%>—ᡈx0,ᡠ\/x£h=4,4ᡠ\Axyᙠmn0,2oḄᨬO"T———-ᨬᜧ"T42718.⊤T¡¢£¤¥¦§¨Ꮙª«¬ᡂ®x¯ᑖᑴyḄ⚣᳛ᑖ³⊤-ᙠ65,75yᑖᦪ´ᑁḄ¥¦ᦪT14¶.ᑖᦪ´[65,70)[70,75)[75,80)[80,85)[85,90)[90,95)[95,100]⚣᳛0.120.160.20.180.140.1ax1y«¬ᡂ®ᙠ95,100ᑖᦪ´ᑁḄ¶ᦪ#3x2yº»95,100ᑖᦪ´ᑁḄ¥¦¼2¶K⊤½¤¾¿᪥¢Á-ÂÃ2¶Ä(ᵱ¦Ḅᭆ᳛T95,KXyᑖᦪ´ᑁᵱ¦Ḅ¶ᦪ#x3yÂᙠ65,70yᑖᦪ´ᑁḄ¦ᨵ4¶-º»65,70yᑖᦪ´ᑁḄ¥¦Ê˼3
13¶¾¿§¨ÌᓣÎÏOÐ-ÑXT»½ÐÒḄᵱ¦¶ᦪ-XḄᑖ³ᑡ%ᦪ¥ÓÔ£xXy.ூ3ᫀx1y5x2y4x3yᑖ³ᑡÕ9᪆-ExXy=1ூ9᪆ூᑖ᪆x1yᑭᵨᙠ65,75yᑖᦪ´ᑁḄ¥¦ᦪT14¶¡¢£¤¥¦×ᦪ-~ᑭᵨ⚣᳛%T1ØᦪÙEF3ᫀ;C23x2yÛᵱ¦ᨵx¶,᪷ݼ2¶Ã2¶Ä(ᵱ¦Ḅᭆ᳛T-f=-,9FXEF3ᫀ;C53x3yᙠ65,70yᑖᦪ´ᑁḄ¥¦¶ᦪÞᵱ¦¶ᦪ-EFXḄ"ÞßàḄᭆ᳛-EFᑖ³ᑡ%ÓÔ.ூOP1Q914¡¢£¤¥¦ᐳᨵv=50¶-0.28ZT0.12+0.16+0.2+0.18+0.14+0.1+4=1,ᡠ\a=0.1,ᡠ\«¬ᡂ®ᙠ95,100ᑖᦪ´ᑁḄ¶ᦪT5xyxxy.1=5¶.ூOP2Q9ᵫx1yᙠ95,100ᑖᦪ´ᑁḄ¥¦ᨵ5¶-Ûᵱ¦ᨵx¶-3¼2¶Ã2¶Ä(ᵱ¦Ḅᭆ᳛Tg,ᑣ*=|,9Fx=4,ᡠ\ᙠ95,100ᑖᦪ´ᑁᵱ¦ᨵ4¶.ூOP3Q9ᙠ65,70yᑖᦪ´ᑁḄ¥¦ᨵ50x0.12=6¶-ᡠ\ᵱ¦ᨵ2¶,XḄ"ᨵ0,1,2,C3141--_C356
14XḄᑖ³ᑡTX0122_2P5513IExXy=Ox—+lx—+2x—=1.''55519.ᦪᑡèa,,éTêᦪᑡ-ë"⚗%TS"-ᦪᑡèé(\\4>0íî1yTNḄᦪᑡ-4=4=1,S=9,S=4+4+5.35x1yᦪᑡè4é,è2éM⚗N#x2yᦪᑡèéḄë⚗%Ox3yᦪᑡè%éïð=log,*,-4,Ñᦪᑡèc“éḄë⚗%TM“-ḄᨬO".ூ3ᫀx1ya,,=2n-\,b„=2"-'x2yT“=2"-1x3y-10ூ9᪆ூᑖ᪆x1y᪷Ý$3=9,Nê-»cM⚗N-ᔠ$5=4+a+5N-FᑮᦪᑡḄM⚗N#x2yᑭᵨᦪᑡ%N9#x3yᐜc“=-5,ᔠè5éḄsuឋ%ឋö=4ᡈ5÷-FᨬO"-ᨬO"ூOP1Q9S3=3q+3d=9,ZT6=1,ᡠ\d=2,ᦑ=1+2x-=,ᡠ\=5q+10d=5+20=25,ᦑ4+4+5=25,⚪ûF:b=4="ÿ=?=q1,5ᡠ44+,20=0,,2=4ᡈ5>0,ᡠ2,ᡠ=2"
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