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“ᓭ”ὶὃ2022-2023ὃᳮᦪ⚪ஹᓫ⌱⚪1.ᔠM={1,3},[M={2,4,5},ᑣ()A.i^UB.2eUC.3eUD.4U2.ᦪz!z=U"ᑣើ=%&3A.2B.C.1D.1223.'ᦪ/%)=^+,Ḅ./ᐳᨵ% A.02B.12C.22D.324.34567ABCO-A4GR8"E,Eᑖ:;BC,GḄ8/"ᑣ%&A.AF1ED,B.EF1CA,C.A,FLBFD.\FVEDy5.34AABCḄᑁ>AB,CḄ?@ᑖ:Aa,b,c,ᑣ“a?+B-c?<0”A“AABCAC>>D”Ḅ%&A,ᐙᑖFG⌕ᩩJB.G⌕FᐙᑖᩩJC.ᐙ⌕ᩩJD.KFᐙᑖLFG⌕ᩩJ6.34'ᦪ/ x=J^cos2x-sin2x,MᑡOP5QḄA%&A.ḄᨬS5ᕜA27tB.ḄUVᐵXYZx=ὶ?[C.“X&ᙠ]^%0_&ᓫ`⌴bD.f xḄUVcᵫ—XḄUVᔣfghi2ᓫjkᑮ7.345,c,"ᙳ;ᓫjᔣn"o!p5=""q⚪prac=bd,q⚪,rad=bc,ᑣMᑡq⚪ឤ;uq⚪ḄA%&A.-p7qB.pvqC.PMD.-PAf8.9tanYᐔ+a+sin2%w+aḄᨬSx;%&
1D.09.342yzᙠRḄ'ᦪ/(x),|x>0}"/(x)=x-l+lnr,ᑣF~#(x)>0Ḅ;()A.(-^,-1)^(0,1)B.(-l,0)o(0,l)C.(-1,0)O(l,-K»)D.(-oo,-l)u(l,+co)10.34᪥ᐳ1400"ᢥ᯿1ᑮ1400.;“Aᔲᨵᐭ᪥Ḅ;''"M`6ᫀ:ᐜ¡ᨵ22¢ᳫ¤32¥ᳫḄF¦§¨©8ª«¬12ᳫ"A¥ᳫ"®¯°⚪±ᔲᑣ®¯°⚪².°⚪Mrஹ³ḄḄ´jᦪµAᦪᔩ·²ஹ³Aᔲᨵᐭ᪥Ḅ;·¸ᙠ1400ᐰº»w`"¼½rᨵ972®¯“ᔲ”"ᐸ¿®¯“A''.ᑣÀ᪥“ᐭ᪥”Ḅᦪᜧᭆ;()A.8B.20C.148D.24711.ᓫj5Ã☢7ḄÆᳫᑁÆḄᨬᜧ5>D@Ç;()A.3B. 443>/2D,r44131—12.a=cos—,/?=—,c=2-e31,ᑣ()432A.a>b>cB.c>b>aC.b>a>cD.c>a>b²ஹÈÉ⚪13.34'ᦪ/(x)=,Êij//flog,2^=___________.I*,x20II±”14.'ᦪx)=ln(x-1)+2ḄᩩÌÍ/ḄᑗZ6Ï;.15.FAÐᱥZCrV=4xḄᯖ/"/AᙠÐᱥZC"*3,0),Ó4ὡ=2Õὡ"ᑣ|×=16.345ᦪ!3a-5=4//"ᑣḄᨬSx;.abஹ¯⚪
217.ᙠØ┵C—ABD8"g☢84"g☢BCDNBAD=NBDC=90,EA8cḄ8/.(1)Ú§rABLAC-,Q)CD=&D=6AB=⍩,Û²☢>E—AD—CḄᜧS.18.34“ABCḄᑁ>AஹBஹCᡠ?Ḅ@ᑖ:;ஹbஹc,3sinAsinC=2sin2B,2sin2A+2sin2C=5sinAsinC.পÛB±(2)Ó4>C,b=#),ÛஹA.19.Þᦪᑡß%áâã⚗¤;S“"2S,,+"2=2“,,+”.(1)Ú§rß%á;~åᦪᑡ±(2)Óq=l,Þ1,;ᦪᑡß%áḄâ⚗æ"Ú§rZç"<2.20.èᙊc:£+W=l(a>6>0),êᯖ/b(c,0),ëìÇ;2,YZx=íwxìḄî/ᑮêᯖa~h~c/Ḅïð;3.3(1)ÛCḄ6ϱ(2)/P(l,0),A8ᙳᙠC"o!=ÓA3wxìî/;"Û!ᩩJḄ/2Ḅᙶ᪗.21.'ᦪ/(x)=e*-x+±ó+“(x>0,a;ôᦪ).পõö“X)Ḅᓫ`ឋ±ফÓ'ᦪ/'(X)ᨵù2FúûḄ./,Ú§rxx<1.12fx=2+cos22.ᙠg☢Y>ᙶ᪗üxOy8"ýZCḄ»ᦪ6ÏA.þ(6;»ᦪ)"56DABCQḄ⚔[y=sm
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7è]=f——4——-}+cos2a>2.~[—cos2a*.jôj——=cos2a=>cosa=±-19cos-a9)V9cos2a999cos2a3û®º.ᦑ⌱7A9.Dூᑖ᪆å_LÉnᦪ/প=0,Iÿ<0/(x)>0Ḅᔠ¥(x)ḄᏔឋᓽ.ூᵫ⚪r(x)=l+g>0ᑣᓫ%⌴' =0,ᡠ)*/(x)<0+;xe(O,l)0*/(x)>0+xe(l,+a))..•.x>0+^(4)>Ḅ6(1+8).96:ᦪ#(x)6Ꮤ:ᦪ,.,.='(%)>0Ḅ6(9,-1)51,+8).ᦑ⌱ED10.Bூᑖ᪆᪷K⚪ᢥMNO1400Qᑖ6840QR560QᐸU840QUOᨵ420QXY“ᔲ”ᑣᑣ560QUᨵ972-420=552(Q)XY“ᔲ"8QXY“_”ᑣ`a_ᔲbcdḄXY_ḄQᦪᡠᓰḄMNfg`h᪥jklm“bnocdpᐭ᪥r”ḄQᦪ.3?ூ᪷K⚪1400Qᑖ61400xj=840(Q)R1400x1=560(Q)840QUOᨵ420QXY“ᔲ”ᑣ560QUᨵ972-420=552(Q)XY“ᔲ"8QXY“_”ᑣa_ᔲbcdḄXY_Qᦪvᓰ5h᪥jklm“bnocdpᐭ᪥r''ḄQᦪv61400x^=20(Q).ᦑ⌱EB11.Cூᑖ᪆ᐜzᳫ|}ᯠzᳫᑁzḄᨬᜧkᓽ.ூ6ᓫ☢A-BCD.
8AA☢BCDḄᚖ☢E,6zᳫᳫᑣE688ḄUᑣ8E=3ᙠRtZVIBEUAE=>jAB2-BE2=—.3£=ᑣᙠU9-R=R+R=c. ••zᳫᑁzḄᨬᜧkᓽ6ᳫḄᜧᙊḄᑁzkᵫ¥¦ᳮ62/?sin60=6R=⌳.4ᦑ⌱EC12.Aூᑖ᪆¬᪀⌼:ᦪ-cosx,ᵫ:ᦪḄᓫ%ឋM±•²Ḅᜧ³´᪀⌼:ᦪg(x)=e*-x-l,ᑨ·ᐸᓫ%ឋM±EcḄᜧ³fg¸.ூ᪀⌼/(xQl-5-cosx,xe(o,3ᑣ/'(x)=-x+sinx,ºh(x)=f\x)=-x+sinx,ᑣh\x)=-1+cosx<0,ᡠ)"X)ᙠ¼⌴½ᡠ)ᢓx)ீ0)=0,ᡠ)/'(Á)<0,ᡠ)(Âᙠ(0,?¼⌴½ᡠ)x)(0)=0,ᡠ)311311ᡠ)ÄÅ852<0,B|J—b,324324ºg(x)=e-x-l(xe(0,+oo)),Êljg'(x)=e*-1>0,ᡠ)g(x)=eஹ-x-1ᙠ(0,+s)¼⌴',ᡠ)g(x)>g(0)=0,ᡠ)e*>x+l,ᡠ)2-ev9-L±i31ᡠ)2-e3i<2—e32<1-'=Z,ᓽ8>c3232ᦑa>b>c.ᦑ⌱EAூÍᐵÏÍEÐ⚪ὃÒM±ᜧ³ὃÒÓᦪḄÔᵨ⚪ḄᐵÏ_᪀⌼:ᦪ¬ᑨ·:ᦪḄᓫ%ឋᑭᵨ:ᦪḄᓫ%ឋM±ᜧ³ᓽὃÒᦪרᓄÚÛܱÝ⚪.13.1##0.5ூᑖ᪆᪷KᑖÞ:ᦪ᪆ß.ூEà6bg|2=logN2=-0log22=T5229ᡠ)/{logτ/(-£)=2-2=/,x,x>0\4J\2/2ᦑYᫀ6Eg14.y=xூᑖ᪆`:ᦪḄÓ:ᦪ£ᑗ6&,ç³-1)+2),ᓽ`ᑗḄè᳛fgᑮ1ln(A--l)+2^º(ë=_k+í(î_1)+2,X€(l,y),ᑭᵨÓᦪðñ:ᦪḄᓫ%ឋᓽ=0ᑮ%=2,fg`ᑗòó.ூEà6/(x)=ln(x-l)+2,ᡠ)ôX-1£ᑗ6(%,õ-1)+2),ᑣᡠ)ô=Ḅö1H3,ᓽÅø+in(xùl)+2=0,%-1x°x-\04-/i(x)=--^-+ln(x-l)+2,xe(l,-K0),ᑣ"ü=(ý᮱+>0ᡠ)²পᙠ(LE)ᓫ⌴,2)=0,ᡠ%=2,ᑣ/()=2,7(%)=1,ᡠᦪf(x)Ḅᩩᑗ"#$y=x.ᦑ(ᫀ*+=,
1015.273ூᑖ᪆᪷2⚪456ᯖFḄᙶ᪗:;<56=>:ᵫ|A@|=2B@56|AE|=4,CᔠEᱥ"ḄGH56AḄIᙶ᪗:JKᐭEᱥ"Ḅ#$:ᓽ56N(ᫀ.ூOPᵫ5Qᯖ@ 1,0,3 3,0R,.•.=2,•+\AF\=2\BF\,0.\AF\^4,AᑮEᱥ"U"ḄVW4.• •Eᱥ"ḄU"#$x=-l,••.AḄIᙶ᪗x=3,.•"X3,2YRᡈX3,-2[R:+.\AB\=2y/3.ᦑ(ᫀ*2G.16.|Vioூᑖ᪆ᵫ3—/6(ᑁ:]*:`a∡:ᑭᵨ1ᣚ345CᔠeᦪẆghឋ:;<5jᨬlm.11Y4a2b24X&+lRlτூOPnᐸqa=kb,ab 3a-5bZX3o-5 r%R=4TXN+23AX3[5R_X6A_5R A+l_ Z+l2X3k_l &_5RᑣtᓄR=,X3"5Rw3A-5RxyA|,ᡠXz+l2 3*-I0,{5|,5R|:fk 0,ᙠ |:5Rᓫ⌴h}{~X5,+8R|:/X0,/X%RᙠX5,ᑁRᓫ⌴,ᦑ/==5,]%=5Kᐭ”@Rஹ,6n22Md.k3k-55ᦑ(ᫀ*-Vioூ⚪ὃwᑭᵨeᦪjPᦪᨬm:P⚪ẚᙠᑭᵨ”Ḅᝯᵨ=£;
11Kᣚ:ᐭᜧ:|⚪¡¢£.17.(1)¤¥¦P᪆ᔩூᑖ᪆(1)ᑭᵨᩩ¨ᐜ¤¥84_L☢C£>A,J¤¥A8_LAC}(2)«¬®¯°ᙶ᪗±:²ᵨ®ᔣ´ᑖµ¶·N☢☢AOC☢EAOḄ¸ᔣ´:Jᑭᵨᦪ´¢·N¹☢°E-AO-CḄᜧl.(1)¤¥*ᵫ⚪4:☢☢88,☢BA£>n☢38=Y>,:.CDLBD,CDu☢8C:CD1☢&4:BAu☢R4D,,CD1BA}BAJ_AD,AZ)nDC=£>,½AD,DCᙳᙠ☢CDAᑁ:}.84J.☢Ḅ:ACu☢CD4,-.■ABrAC}(2)A:AOx¿:A8y¿:AÀCḄ¯"z¿:«¬®¯°ᙶ᪗±ÂÃ*ᵫ⚪4:68=M40=1,A8=&,A(0,0,0),0(1,0,0),C(1,0:C3(0,60),E6<=(1,0,0),Ä=(0,0,Å:Æ=},{Ç:Èᯠ☢APCḄʸᔣ´3=(0,1,0),Ë☢E4OḄʸᔣ´4=(x,y,z),ᑣᨵ:n.AD=0
12x=06107rz=-lᑣy=y/39-X4-——y+——z=01222ᡠ☢E4OḄʸᔣ´1=(,ÔI)9ᑣcos«,:)=ÚÛ:ᑣ¹☢°E—43-CḄᜧlÞ}|ß`26á:¹☢°E-AD-CḄᜧlJ.O7T18.(1)8=571(2)a=2,A=—ூᑖ᪆(1)ᑭᵨèéGᳮ]°ᓄë:JᵫìéGᳮ¶·56}(2)]6=íKᐭ(1)qîn:6ᑮoc=2,(2"-c)(a-2c)=0,Jᑖ2a=cஹa=2cîðñòóô:ᑖµjNஹc,JᵫA>C,ᓽ5õGஹc,ᨬ[ᵫìéGᳮjNA.(1)P*y3sinAsinC=2sin28,2sin2A+2sin2C=5sinAsinC,ᵫèéGᳮ63ø=2ù:2a2+2c2=5ac.53a2+c2-b22ac——2ac1:cosB=----------=—laclac28e(O,ú):7(2)P*]=GKᐭ(1)qîn:3ac=2,2a2+2c2=5ac.ac=2,(2tz——2c)=0.{2tz=c,|:P6a=l,c=2}{=2c|:P6c=l,a=2.A>C,:,a=2,c=\..b2+c2-a2_A(a2ý/.cosA=--------=0,A£0,--2bcI3
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14Q12h2ih0,0iᡈ§,0iᡈhl,0iூᑖ᪆পᵫ⚪Mb=l,V—=st᪷v/=%+2wxyᓽzᫀ(c3(2)}A8xAB:x=+f,QQ,O),&ὶxyᔠᳮ-2mt--,/211-rID—:+4-*)y+%=——7t᪷vM/=CE+1--■~~5~-——~~m-t——=b&ᑖZ00¡b+44G+1|/n+41£+4-411OQm=0<¤¥¦§¨w1=0,£=Sª«¬ᑨ®=ᓽzᫀ.(1)w¯IJ°±J2,²³x=l´xḄµ¶ᑮ·ᯖ¶Ḅ¹ºJ»c3ᡠ]&=1,—-c=£^-=—ccc3ᡠ]c=½,2=/+/=4.2rᡠ]¾ᙊCḄxyJJy2=l.4(2)w¯}AB//XTöÄᙠ(}A8xAB:x=my+r,QQ,0).ὶ²³AB¾ᙊCḄxy(Æ+4)/+2Çy+*-4=0.ᑣA=16(Æ2+4—»)>o="<?2+4ᵫᳮÌ+Í=ÎÏm+4A8Ḅ¶JM,IJR4PB,PA=P3,ᡠ]PMlAB,2d=\AB\,ᐸdJÕ(1,0)ᑮ²³A8Ḅ¹º,ᡠ]ÖឤØ5.J/+1|ᶭ+4|4/—mtᔠ²³A3Ì+%Ú+4m+4ᡠ]ᵫRW_L4?’'=_b,ᓽ-——=-m.Xpfw+4-4rᑣ,=ÞᓃÝwO,3
15àr=jáᐭãn=4^äØ5,wå=ᔩ37/n2+l|ç+4|51212Tè•ê¬RᔠAுT¶Ḅᙶ᪗J(1,())(Ý,…ïḂ1=ñ7?òó:7),ᓽw4=ozylm2+\|"+4|Q꬯RᔠA>0,T¶Ḅᙶ᪗J(0,0)ᡈS,0).Q10ôõᡠöRᔠᩩøḄ¶QḄᙶ᪗ᨵ(0,0)ᡈú,0)ᡈ(5,0).21.পᙠ(0,1)õᓫü⌴?,(1,ᦈ)õᓫü⌴ÿ.(2)᪆ூᑖ᪆(1)ᦪ᪀⌼ᦪ,/'(X)ᙠ(0,ᑁ)"ᓫ$⌴&ᵫ(প=0,*x)Ḅᓫ$./,11A(2)0120Vx<16ᓄ89◤/(%)-0/&)>᳝£(1)᪀⌼ᦪiI%J\xi7^(x)=/(x)-/Q^|,xe(O,l),ᑭᵨᦪ*ᐸᨬᜧQRSTᓽ.(1)e—]ᵫ/(x)=e“>ᐗ+---+a(x>0),/'(x)=e'-l-\x~]Nx)=r(x)=e'-1-\ᑣ'(X)=e*+>0,rXᡠbf(X)ᙠ(0,+8)"ᓫ$⌴&e8f(l)=e-l-g=0,ᡠbh0vx<1jf\x)<0,hx>1jf\x)>0,ᡠb“X)ᙠ(0,1)"ᓫ$⌴k,ᦈ)"ᓫ$⌴&.(2)ᵫ(1)Ḅmn012x<—,2281,,ஹzrs>ᙳ£(1+8),x\
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