高考数学复习易做易错题[原创]--高考数学复习易做易错题3

高考数学复习易做易错题[原创]--高考数学复习易做易错题3

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时间:2023-03-29

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31ᫀA┯!"#ា%ᙢ'ᵨ)*+Ḅ,-.⚪஺4x—956.ᫀ89:ᦪ<---Ḅ>?Ḅ@A8BCDᱥ+/=8xᨵBJᨵKᐳx-2ḄM+ḄᩩᦪᐳᨵAஹ1ᩩBஹ2ᩩCஹ3ᩩDஹUVᙠᫀB┯!.X⚪Y᩽᧕\]82,4ᙠDᱥ+_ᑗ+Jᨵ1ᩩa᧕\]bcDᱥ+@AdḄM+CDᱥ+JᨵKᐳ஺efg⚪1.᝞8iM+y=Ax—llDᱥ+y=m2+4x+3Ḅopᙠqe?ᑣkḄstv..-3,0᧕┯!xUᑮ%Ḅ.z஺X⚪ᨬ|ᵨᦪ}~ᔠz•x222.8)*+-vஹ-=1_ḄPᑮ5,0Ḅ8.5,IPᑮ-5,0Ḅfo┯.)*+ḄᯖᑖF,-5,0,%5,0,ᵫ)*+,-||<ὡ||<11=8ᡠ|<£|=16.5ᡈ|Pᱏ|=0.5ᒈ᪆ᵫ⚪)*+_ḄᑮᯖḄᨬ1,ᡠ1=05Uᔠ⚪ᓃᙠ¡.¢£¤⚪Y¥ᮣ§'ᵨ)*+,-ᑖ᪆¨PḄVᙠ©ªᯠ¬¡.஺᝞X⚪8!⚔ᑮ®ᯖḄ9>8.5,ᦑPJ#ᙠ®_ᡠ¡|<±|=16.53.²8M+xCosx+y—1=0Ḅ´µ¶9Ḅstv஺TT3·ᫀ0G[0,-]U[——n]44┯!½µ᳛v¡´¶vᙠ¿¶À_¨Á┯Âᡈ\]M+´¶Ḅ,-vÃĨᐸÆ┯ᫀ஺4.²8ÇM+hx+y—2=017x—y+4=0ᑣhlbᜳ¶Ḅbᑖ+஺2

32ᫀ6x+2y—3=0┯Ì!\]M+ᜳ¶ḄᭆÎÏ¡Ðᜳ¶ḄÑ⊡¶Ḅbᑖ+஺5.²893,—3Blᙊx—l2+yMÕᑗḄM+oᫀ5x+12y+21=0ᡈx=3┯!⍡×е᳛UVᙠḄ©}⌼ᡂ×.஺6.²8Ç)*+Ḅ®Ú+x=4,®ᯖF10,0᳛e=2,ᑣ)*+ᫀᓃ221=11648┯!Ü)*+8ᙠ!¢¡¨)*+Ḅ᪗ÚèÁ┯஺7.²890,2lDᱥ+y2=8xJᨵᐳḄM+ᨵᩩ஺ᫀ3┯!ÜlDᱥ+JᨵᐳḄM+J#lDᱥ+Õᑗè┯஺228.²8)*+L+ß=1Ḅ᳛e,Bedl,2ᑣkḄv஺4kᫀ:ke—12,0┯!âãÐ)*+CäᙊḄ᪗Ú஺229.²8ÇPFiஹF2ᯖḄ)*+12=1_PF|PF2Btan/abPF1F2=Lᑣ¢)*+Ḅ᳛஺2ᫀV5┯!\])*+,-Ḅ¥ᵨ஺10.²89M—1,0ḄM+hlDᱥ+y2=4xoP1,P2é+êP1P2Ḅ8P,9PCëDᱥ+ḄᯖFḄM+HhḄµ᳛K,îïM+bḄµ᳛lM+hḄµ᳛ðñ⊤ókḄ:ᦪᐸ.᪆ô,¢:ᦪ,-õ஺ᫀfk=—e1,0U0,11—k┯!\]ÐM+hlDᱥ+ÕoḄᩩ÷Ĩ┯Ḅ,-õ஺11.øù8úÇAஹKäᙊḄᯖ᜛äᙊ_B/üý=90°,ᑣäᙊḄ᳛eḄstv஺[ߟ1ᫀL2┯⚪⌕ᐵ᝞⚪Ḅᐵ!ᙊḄ஺12.%&'()*+ᩩ-./☢Ḅ1+2ᑮ2A%0,2Ḅ789:;ᑮx=Ḅ78Ḅ>

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36┯ᵫ⚪;ᨵ*+Ḅ4<0=>?F%4,0(,ᡠEc=4,?Hx=3,ᡠE222—=3,a2=l2,b2=4,ᦑ=>6^-)2-=1c124┯PᨵQR>Ḅ'STUVᝅᵨ᪗H஺31.%&'([\=>]2)^_=1Ḅ`ᯖ+F2bcde630஺ḄfAB,ᑣḄᕜj6஺7ᫀ:4%□,m(,8%/,6(ᐸ'x>0,x<0,a=le=2,ᑣqJ=ejq+a=2x+l,|BFj=-2x+1(,129]2ᡠE|Aᕜ+zᒾ=2|-஽(~fABḄy=-2(ᐭ=>᦮ᳮI1o3c8x2+4x-13=0,ᡠE%]+/=——,XjX=---,PJ|AB|=3,k)ᑮ=----2282ᦑ7ᫀ63+3JJ┯10┯b┯Pᨵὃ⇋cde630஺ḄḄᐵV~bᡂ`ᨵ+஺32.%&'(ᙊḄHḄ./ᜧjjḄ3ᑣ1Ḅ/S᳛eḄ¡0஺1r-L31r-L3┯¢£¤¥¦ឋ¨©ᩩªḄ«¬£;◚ឋᩩªᙊ/S᳛0CḄ6%1)%(/+%3-&2»2=4%%eR(,ᑣ>C6ᙊk=,>C6k=஺7ᫀ-1;1ᡈ-6┯k=2k=—1¸1<=1ᡈ1<=±7^┯¥»¼Ḅ½¾஺

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382x+y-2>0238.%ᫀ'(¨©?@AᩩCD<ᑣt=3x+6y+4zḄᨬᜧ#I02'()ᫀ*5┯012*KLᑮᑭᵨPQᐵSz=l-x+yTᓄIᡃWX៉Ḅឋ[ᑣ5⚪஺X2y241.ᫀ\——^=1_PᑮaᯖcdI20,ᑣPᑮefḄcdI6436……g16Tl44'()ᫀ*—ᡈ---55┯012*ghi⚪jIkl஺42.ᫀ᝞n7opᦪb"r#sKx+b\x2-2y2=luᨵᐳvwKḄ"#%I'()ᫀ*,ߟߟ22┯012*2Iyz{k|}Kb,ᡠᜐᳮ஺43.ᫀF”F?ᑖI\ḄaeᯖPᙠ\_POF2&☢I1Ḅ'ᑣbḄ#I'()ᫀ*V2

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41x+l=O◀_(_l,0),(—l,4)ᡈ9^+஺'d2)d=1◀_84(-1,0),(-1,4)&ᶍ஺y-x+tবὶᑡ@i(x+l)2(y-2)j_yE.8+4H(x+iy+2(x+f—2l=8᦮ᳮE@3/+(஽—6)x+2r—8f+l=0s=0tE/=3±26v&wx@fe(—8,3—2z)53+26,+8),M|Y◀_}-1,0~,}-1,4~ᡠWs)}-1,0~,}-1,4~t1ᨵH3ᓽ£=1ᡈ5:.t€}-00,3—26~u}3+273,+00~u{1,5}᧕┯|@}1~᪗!ᯖᙶ᪗t᧕┯}2~Ḅt᧕•}3~ᨵ0ᨵ3Y!1ᨵH>஺3.}~᝞&A᩟ᙠBᙢ¡ᓅzcmᜐC᩟ᙠBᙢ¡§4kmᜐ©xª«4¬PQ¯HᑮB,C±²³´Y8km,µ⌕ᙠ4¬·¸⌼H3ᵯ»Mᑖ¾ᔣA᩟ஹC᩟〈ᵯÂC᩟ᨵH᩟ÃUᔆᵨᵯ◤ᵨÇᵨ¬ÈE-ÉᵨÊᵨᵯ|ËᔣC᩟⌕Ìᩩ¬ᑖ¾Î᩟É´Uᔆ〈ᵯ⌕ÏEᡠᵨᵯᨬÑÒᵯ»MÓ¸ᙠA᩟ḄÔÕÖ"$MᑮA᩟Ḅ±².>@|MB|+×C|=8}8ØÙØ=4~,ᙠWB,CYᯖÚÛÚY8ḄZᙊ¸Ü᝞&ᡠÝḄᙶ᪗ÞᑣB}-2,0~,C}2,0~,A}-2,ß„22.EZᙊ!Yd+ᓃ=1ᐸ²᳛6=ã16122Y/:x=8.åMNUèN,ᑣ|AM|+21Mq=,ê|+2d|ë7|=,x|+|■7|,ᵫí☢ïðxñxs)MNòAt+ᨬóY|4N|,ËtMḄôᙶ᪗Yy”=ö=÷,MḄøᙶ᪗Yx=7[1-(V3)2/12]X16=2÷.M

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43M(l,m)(m*vᦪm>3)xyz{ABCḄ|BCḄ^jAj}ᙶ᪗t,AABCḄ☢*f(t).(1)f(t)Ḅ4᪆⊤V(2)f(t)ᙠ'ᑁ*aᦪmḄV(3)xᔲᙠmaᦪfপḄᨬᜧ18?ᙠmḄVᙠᳮᵫ஺4,পf(t)=2t(m-3t2)(O0(0(9f2)=9ᓽmḄ[9,+oo)max(3)°fপ=0,P/=ᙶ(ᐸ^±—²<0³´)G(0,1]BP//J<9,ᙠr=ᜐ/(r)=^m4m<-^x9>/9=12,max¹FmḄᙠ.°º»(0§ᓽm>9¼(2)½fপᙠ(0§*aᦪFOmax=/஺)=2(¿-3),ᵫ2(m-3)=18Pm=12À:Áᙠm=12〉ᔠ⚪Å஺6.(Ç^)Ƚᙊ஺|“2+/=1,ᙊ஺2,X2+/-10Ì+9=0ÍᑁᑗÎiᙊiᙊᙊ>ḄÏÐ7஺┯4,ᙊO2,x2+y2-10.r+9=0ᓽ*(x—5>+y2=16ᡠÔᙊ஺2Ḅᙊ>*஺2(5,0),ºÕG=4,Öᙊ஺1,/+×=1Ḅᙊ>*01(0,0),ºÕ4=],ᡠiᙊᙊ>MḄᙶ᪗*(x,ybºÕ*rᑣÙ=|஺□|+1Ûr=|஺2MlMᡠÔ|஺஻H஺2M1=3

44ᓽ+y2-J(x—5)2+y2=3ᓄÞP16x2-80x—9y2+64=0/5ஹ2(Ì_2)ᓃ=1*ᡠiᙊᙊ>ḄÏÐ7஺ᓽ~~9-44ᒈ᪆::ã4äå|0æH஺2M|=3çᡂ||஺æ|-|஺2M||=3,èé*iᙊᙊ>ḄÏÐ*êëìxêëḄᭆîïᡠð஺ñò:|஺◍\-\OM|=3⊤ôijMᑮ'j01õO2ḄABö*&vᦪ3஺2Û|஺1஺2|=5>3,j÷ḄÏÐ*êëøù7*5^2/22y94-47.(Ç^)jP'jF(2,0)ḄAgû'Èᑮx=8ḄAg)x1,3,ijP'j஽ý,3)ABḄᨬ஺┯4,ijP(x,y)ᑮx=8ḄAB*d,ÿIJ1_1dᓽJ-2>+=|x-8|3ஹ᦮ᳮᵫ:(x-1)2=(l-|y2)x(^)2%&|ᱏ|=J(x-1)2+(y-3)2

45=()”++ব-3)2'1»ஹ21377-8(zy+24r+lTᡠ5IPPJmaxᒈ᪆ᵫ;<=⚪?@ABCDP(x,y)ᙠGHᙊ;BᵫHᙊឋKABHᙊ;DḄMNᙶ᪗QRᨵ▲ᑴḄB;<┯=ᙠWXYZ-3[Ay]^G_`bBᵫ5;=⚪?22@AB|qP|Ḅᨬ`ᵫefgᦪᙠij;Ḅᓫlឋmn=oᓽpqy=-|rsB|%u=3+|rv-222r-8.(xy)zA{|}——e=1(஺0ு0)Ḅ᳛e=-V3,?DA(0,—h)ab3V3B(a,O)Ḅ}DḄ&B}y=kx+m(Y0,஻?N0){|}WDCஹD,CஹDDQᙠ5A&ᙊḄGᙊ;BmḄ_`b஺┯=ᵫzABᨵ’2b24e=+—7=Ga23ab_V3.7777—=pa2=3,b2=12rᡠ5{|}@&^--J/=i3.¢}£kx+m¤ᐭ{|}@B¦᦮ᳮ:(\-3k2)x2-6kmx-3m2-3=0

46ᡠ5§=஻/+1G3%2>0(1)¨CDyD&(©,ª),ᑣAP_LCD,᧕Ap3kmm1-3k2Ly0~l-3kᡠ5&AP3kmk\-3k2=3k?=4m+1(2)(2)¤ᐭ(1)஻22-4m>0=m>4ᡈ஻¯<0ᦑᡠmḄbR²w(-oo,0)U(4,+oo)47%-L1ᒈ᪆;<┯=BᙠWᙠ³ᐗ?@yBXYZᐗµjḄᑴ¶ᐵ¸B&2=ºe¤3ᐭ(1)sBm»kḄᑴ¶஺%&©>0ᡠ5"7>----4ᦑᡠmḄb¼&m>4ᡈ---<᪷<0%39.(xy)HᙊyRᙶ᪗DB¾¿ᙠx¿ᓃ᳛e=Y-,zADP(0,-)ᑮ22Hᙊ;ḄDᨬÂR[B^ÃHᙊḄ@஺┯=¨ᡠHᙊ@&v22=+2v=1(4>6>0)

47b%&;aᡠ5a=2bWRHᙊ@&/+Ä-14-1¨Hᙊ;DM(x,y)ᑮDPIO,])Ḅ&d,ᑣpd2=x2+(y-^)2-4Z?2(l-^-)+y2-3y+-b24=-3"+᜛+4/+3ᡠ5qy=—ÆsBᨵ/max=4/+3=7,b=lᡠ5ᡠHᙊ@&ᒈ᪆ᵫHᙊ@0+Ç=1(஺ᓃு0)a2b2G஺WyW஺ᵫ(1)A6/2RyḄefgᦪ,ᐸÊË¿&y=~;<┯=ᙠWÌᨵÍÊË¿ᙠij[-Ï,ᑗᑁᡈ᜜ÓÔᑖÖ,

481,,ᐸ×ؼÊf(y)=-3(y+-)2+4b2+3Ḅᨬ`ÚÛÓÔÜÝp(1)qGᓃ4G,Bᓽ62,s22஻max=)=4/+3=72rnb=l,@&ஹ+Ä=1(2)q-!â-6,2ᓽ6âãsB2/max=/(-6)=7J/Z,31.J1NHn*/?=J7—GLwbv-çè°222V.2ê;ᡠ

49%)+x=2(4)2ᡠ5%+&=2(5)4ஹ5ᐭ31ஹz%=%᳝ᑣ/Ḅ᳛Iᡠ!ᔠ⚪$ᩩ&Ḅ/'ᙠ஺ᐸ+,-2x—y—l=Oᒈ᪆ᙠ36ᡂ8Ḅ9:;<ᵫ4ஹ5>6?@Aয66<ᦑHIᡠJKLMNX஺J|~4||ᨴ|Yᔲ'ᙠᨬᜧᡈᨬE'ᙠXᙶ᪗ᑖ-<ஹx,yBH-=4/2=3ᡠc=J//=c1a2.0——=——r4a2'c

50mᙊj-(1,0)X

51ÍḄXᙶ᪗஺X³´µᫀ·—+y2=l4┯Î{·জᑭᵨÒᑗḄᩩ&JR$ᨵᳮÔÕbঝJᨬª¦§¨bḄÙÃSᨵÚÛÔ<ÜÝR⚪z,A┯஺V2V214.(ßjà)$ஹF2Yáâr-ãr1(a>0)Ḅ>ÈᯖX4aaপXPᙠáâO<¯ç•ç=0,IçI•ç1=2,JáâḄ+,஺ফ$âCYপjḄáâḄ⚔X-ᯖX<ᯖX-⚔XḄmᙊ<FJஹFJᑖYᐸêxᯖX

5215.᝞ᡠ/ஹBஹC!4Ḅ#ᙊ%Ḅ&''4Ḅ()'*',#ᙊ-0,0⊟2=0,16a=2|4஺.I9:〉<Ḅᙶ᪗?@#ᙊABCH᝞E#ᙊ%ᨵG'HQ,I/JḄKᑖMᚖOP4஺,QRSᙠUᦪᐭIᡠ=2X.YIZ0!['04!X9:O]ᙶ᪗?22^42,0,ᑣ#ᙊAB!+=14b2V0!#ᙊ-ᵫcdឋ|061=|08|g•.•ACBC=O,.ACLBCg•.•|i1=2|4&A\OC\=.AC\...jk!lῪO]&]n...'Ḅᙶ᪗!1,1.♦.'6Ḅᙶ᪗!-1,-1pCḄᙶ᪗1,1qᐭ#ᙊABr஺2=3222ᑣ@r#ᙊAB!+4-=144IIᵫP/ASḄKᑖMᚖOP04ᓽᚖOP"wx^□Ḅz᳛!⊟ᑣ8Ḅz᳛!A,|}”ḄOMABᑖ!4x-1+1,y=-kx-1+1y-᝕1+1ᵫ23y2A1+3X2-6A-it-1x+32—6-1=0*I44•,'஺L1ᙠ#ᙊ%3m3A2—6Z—1.“3k2—6k—IX=1AB*Ḅ(᪷..Xp,\—----:-----ᓽXp------z-----3k2+\3k2+13+6%1ᳮXQ=3k2+1

53/.ஹ஺.23--1_2OMPQḄz᳛!222k='.+/—=3il±l-----=1x-xx-xT2k3pQpQ3F+1gN/ঢḄKᑖMᚖOPOAOMPQḄz᳛lCk)3ᔣ¡¢஻¢ᓽ¤SᙠUᦪ4,Iᡠ=4¢ᡂ:.216.()'N(1,2),,'NḄOM¨©ªM=1PAஹBG'02—*1—**ON=—(OA+OB)(1)@OMABḄABC(2)¬,NḄOM/¨©ªMPCஹ஺G'0=0,®¯AஹBஹCஹD°'ᔲᐳᙊ³!´¯³ஹV2Y(1)^OM43y=k(x-l)+2qᐭr(2-k2)x2-2k(2-k)x-(2-k)2-2=0(*)µ4(X1>,1),B(Q,¸)ᑣ!ஹX2ABḄG᪷...2-k2^00=12-jt2ON=~(OA+OB).NABḄ'º»¼=122k(2-k)=-k2+2k=IAB!y=x+1(2)½k=lqᐭAB(*)r--2x-3=0x=-lᡈx=3ᵫy=x+lryj=0,ு2=4A(-l,0),B(3,4),/CDAB=0.CDᚖOKᑖAB.CDᡠᙠOMAB!y=_(x-1)+2ᓽy=3-xqᐭ©ªMAB᦮ᳮrX2+6X-11=0µC*3>3)஺஺4Z)ÂCO'M(x(),%)ÆÇ3+È4=-6,%3•%4=-11>10=>3"M=—3,>0=6|<7஺Ë=4Ì\MC\=\MD\=~\CD\=2710\MA\=\MB\=2V10,ᓽAஹBஹCஹ஺ᑮMÎÏlAஹBஹCஹD°'ᐳᙊ17.(Ð)'A(-2,-1)ÑB(2,3),ᙊCx2+y2=m2,<ᙊCÓMÔABÕᨵ

54Öᐳ'×@mḄØÚ஺┯Y0cM<-—,m>V132┯½⚪ḄUᦪm<ᡂÝᙊḄÞßàá!m>0஺âYm<ᡈ-V130஻³{02218.Ð@Ó#ᙊ+ä=1ᨵÖᐳ⚔'0Ï-᳛!°Ḅ©ªMAB.942-V24/┯Y:-------=199┯:çèÝ#ᙊḄé%ḄG(⚔'஺x24y2âY:1,~9--9ê19.ÐOMë+1Ó©ªM3Ð/=1¨PwḄG'4B1@Uᦪ4ḄØÚC2¬Z48!OßḄᙊ,ᙶ᪗['@ìᙊḄOß.┯YJte-V6,V6y=kx+\..,┯ᵫ•,,ïr3-2ð2-2:2=0,çè3-/*0,ñὃ⇋"jô"3x2-y2=\âYkḄØÚ-õ,-ö5-ö,ö஺ö,«20.ЩªMx2—4y2=i,,'Ba,1øᔲùOMúIOMÓ©ªM2¨P9,஺2G'0BMÔ01஺2Ḅ'³᪵ḄOM¬Sᙠ@üḄABC¬wSᙠ,ýRᳮᵫ஺┯YOM஻z!y=2x-l஺┯çèÝOMúÓ©ªM¨PQi2G'Ḅ◚ÿᩩு0஺Ꮇᙠ஺1,஺2,ᑣᨵ

5512121‘2ᨴ=1*[#21$2=1τ%X'_y'=0•'-2-஽᳝+4=“3+4ᯠX1H-2%+y2Ho.%%—2ᑁ+•᳝஽M+%ᵫ>?@%x,+x=2,+%=22ᵫB᳛@%DḄB᳛᝕=ᨴ$=2[1.22GHIJKLMG஺2O?ᵫP5%2/-4X+3=0,RSy=2x-lTUᨵOVWXYḄZᦪ᪷஺]R^A=16-4x2x3=-8<0,STdZᦪ᪷ᓽy=2x—lIJK/,h=idL?jR“Wᙠ஺21.h>klm?0,2nIJK4/h2=1oᨵVᐳ?ḄST஺┯dy=-2x+l,y=-2x+3o┯jrXᑗt$IJKᨵnoᨵVᐳ?Ḅᐙ⌕ᩩ஺wxᙠ^ᡠkST$y—2=Zx—],|ᐭJK4——V=],%4".2_2Z2_'kx_%2_2ᦇ+5=01w஽=2^ST$y=—2x+lIJKᨵVᐳ?஺2w=—2^ST$y=—2x+3IJKᨵVᐳ?஺3wJKXᑗ^oᨵVᐳ?R^ᨵ

564ᦇ~஺05-rze“53ீ%ᦇ=—,%ST$y=—x+—=0224wkWᙠ^x=1⚪஺2ᦑlm?',2nIJK4/V=ioᨵVᐳ?ḄSTᨵᩩ531ᑖ$y——2x+1,y——2.x+3,y=—xH—,x-஺242r2222.>ᙊST$v+=1,k¡ᑡᩩḄᙊSTজᙊᙠᙊḄ¤164¥¦'ঝIᙊḄ¨¥Xᑗ'ঞIᙊᙠª?ᜐXᑗ஺¬ᫀ᪷®⚪ᙊST$x±r2+J=/জᓄᙊST$᮱+4³=16ঝᵫজঝ´µy,%3-±8¶+16=0,ᵫᙊIᙊXᑗ=64஻—4x3xl6=0,%U=3ᓽᡠkᙊḄST$x±+/=3,¹ᵫº»x±22+y2=4ᔠ⚪஺┯X½JJ2+y2=3┯j¾x±2>+y2=423.>y=ax+lIJK3x2—y2=1XLM?xÂᔲᙠÄ᪵ḄZᦪQa,H%A,BᐵMy=2xÈÉÊ᝞ÌᙠkÍZᦪa,᝞ÌWᙠÎÏÐᳮᵫ஺¬ᫀᙠZᦪa,H%A,BᐵMy=2xÈÉGAx”y஺Bx,y\,ᑣ22%+$=2$+%]KB='Uᵫ\=1tÔ᦮ᳮ%4ᜩ13஽ߟ$=1"Ø&=3~+Z..=Úᵫ3x2K—1,ᦑWᙠÄ᪵ḄZᦪa஺Ü2,U+22

573┯a=32┯jÝᨵ᢬᣾◚áᩩ]¥ÈÉḄâØVᩩABIy=2xᚖ⌼ᡂ⚪┯æ஺24.(>)é»ê?A(3,0),B(0,3)᝞ÌëABIìᱥCy=-x?+D1ᨵnoᨵVᐳ?kmḄñòô஺¬ᫀëAB¦õ?P(x,y),÷tëABḄêøᑖ?ᡠù3úX=----(2>0),ᵫëABIìᱥCᨵnoᨵVᐳ?ᡠùST=—(¦)2+஻?(¦)—1ᓽ4Ü+(5-3/n)2+10—3m=0ᨵnoᨵV1+Z1+21+2ü]rúA=(5-3/n)2-16(10-3m)=0„ᓝr᪷ᡠùJ7'জᡈ2>0rio-3/M<0\,ঝA=(5-3m)2-16(10-3^)>0জm=3,ঝm>W,ᡠ!m>Wᡈm=3஺33┯$%&ABḄ)*+y=-x+3,/+AB01ᱥ&Cᨵ56ᨵ789ᐳ;<ᡠ=)*-x+3=-x2+mx-1ᓽ/-(஻?+l)x+4=0ḄᑨDE=(/"+I)2-16=0HI=3ᡈI=—5஺┯/$K⚪MNᑣ2x/7y/=2,2x2—y22=22222hopq2(xi+x)(x—x)—(yi+y)(yi—y2)=0,2l22rxmx,s<ড.=uv=w1=^=2'2X]-*2+'22

58%&/Ḅ)*2x—y—1=0{y=2x—1|ᐭX?-2-=12X2-4X+3=0)*~%&MᙠrX1=X2<%&)*+x=l,0ab&6ᨵ789ᐳ;஺ᡠ!<%&IMᙠ஺;$⚪᧕┯;7ᵨ“ᑖ”VHI᳛M┯Xi=X2sḄ¡஺26.¢u£^¤¥᝞§<¨©7ª«ᦪy=Lc+/?S>0¥0ª«ᦪ>=/Ḅ§°pXy=kx+b±$জᵫ<1=>x2-2kx-2b=0%1+x=2k,xx=-2b=-12212-1212_3bOAOB=xlx2+´µ=x\x2+2X<-2%2—4ঝAF-t,BF,+tx-,-0t——~Ḅ,¶2)*--2kx-\-0Ḅ᪷

59.E+ᯖ;<ᦑ¿ᯖÀ+Á஺2221HÂᙊ)*+{B;ᙶ᪗|ᐭ)*<=1¢஺2=7Æa22136a----4¥ᡠVÂᙊ)*+=i$জ^9o⌕ÈÉ$ঝ^ÊË┯Fj27.¢u£^¤¥ᙠRfAABC^2)ä;Ḅåæ)*+=+ᯖ;ḄÂᙊa=42,c=\,b=1,E'■+y2=1ঝ/0yâçᔠ0121+2k2E=64/—24(1+29)ு0,Á2ு3,ᳮf’¸2DNx-xxND2

60,,1%1x(x,+x)2c20k2-61016222xx,x,x3(1+29)33(242+1)2220:.a>-j,ὃ7/(x),„f(x)8xḄ9ᓄ⊤஺᣸ᑡ>ᔠ@⚗BCᳮEஹ⌱H⚪1.(IJKL)c2.+c2rḄNOᨵ()PA1B2C3D4

61r+l<10QRᫀB┯ULVNWᵫ◚Yᩩ[1-7ஹ8ஹ9஺[17-r<102.\IJKL]^n_᜻ᦪᑣ7"+C7"T+C7"-2+…+CT.7e9◀ᡠ+gᦪ\]A0B2C7D8QRᫀC┯ULVhi_jBklm\7+1”,ᐸoNlACு3.\IJKL]Pqrst\ᐳvPᜧw2P#x]y“{|”ஹ“᫃ᛞ”#᜜ᨬWᙶ4wᐸK#xNWᙶEᑣNOḄyᦪ\]A40B48C60D68QRᫀB┯ULV6wyḄᑖᫀᑖ_3ஹ3'2ஹ4,3ஹ3mᙳᑖN,2ஹ4ᵨ᣸◀ᣵ¡#xᙶEḄᦪ஺4.\IJKL]_¢£¤Ḅᓝ¦ᜧ§¨©Eᦻ«¬®¯°¢£±²ᜓḄ⁚µKjᨵ4P⁚µ᝞·¸ᢝº⁚µḄ»0¼½N9¾$¿À2P#Á⁚µ஺ᑣNOḄ᣸ᑡᨵ\]A20B25C30D32QRᫀC┯ULVÂÃ#Á⁚µÄÅ᣸EÆ஺5.\IJKL]\x-l”ḄÇÈBKYxᏔᦪÊËḄ⚗ḄÌᦪ'\]A1024B-1024C-1023D-2048QRᫀB┯ULVᙠÎᨬÏEP-1஺6.\ÐK]ÑÒᛢᨵAஹBஹCq#AÄy3wBÄy2wCÄy1w஺Õᨵ3Pᡂw'2PÖ×ᑖyº_ØᐰÆÚÖ×ÛᵫᡂwÜOWy஺ÝÞᑖyºḄᐳᨵ\]஺A.120B.81C.72D.27^P#x1PᜧwᙠAᑣᨵ஺ß3=9^1P#xPᜧwᙠ4ᑣᨵ=6^1P#x1PᜧwᙠAᑣᨵ஺>஺ß2=12

62ᐳᨵ9+6+12=27.•.⌱Dèéê⚪᧕ᙠᑖìíîïV┯hᡈᨵñòᡈᨵ⍡ô஺7.\ÐK]6õö÷Ø᣸ᙠ3P÷ùúP÷ùûüØ᣸Eõö÷ᑣNOḄØ᣸ᨵ\]A.360B.240C.540D.210ᑖᑖ1,2,31,1,42,2,2ᑖᦪ᯼ᡈG+c^pi+cC=540.•.⌱C!"⚪᧕┯&ᜐ()*+ᫀ-⌕/A',23+ᫀ4/ὡ678ᙠ:)*+ᫀ-(4ᙳᒴᑖ=6>23+ᫀ(ᙳᒴᑖ=஺8.ABCDEFᔠH1,2,3,…610JC⌱K5Lᦪ=ᡂḄOF6PQR5LᦪCḄST*LᦪḄU4V:11,ᑣR᪵ḄOFᐳᨵADL஺A.10B.16C.20D.32]FᔠC*LᦪḄUV:11Ḅᑖ3=6ᐳᨵ5=A1,10D,A2,9D,A3,8D,A4,7D,A5,6D,ᐳᨵ=32L.•.⌱D!"⚪᧕`aᡈ⍡c6defgᑖ=2ᑣhiRjk⚪஺9.ABCDlm1,2,3,4,5ḄnLo6ᑖpᙶᙠlm1,2,3,4,5Ḅrsf,ᑣtuᨵ*Lmṹ3wḄᙶ+ᦪADA.120B.119C.110D.109ាᨵLmṹ3wḄᨵC+6ាᨵyLmṹ3wḄᓽ(nLmṹᐰ3wḄ,|ᨵ•+ᐳᨵᱏ3~31=109+.•.⌱D10.ACDᐳᨵ3o6Eᕜ3tᕜR7ᜩC6ᜩ᣸3o6ot2ᜩ6ᐸ᣸ᐳᨵAD+஺A.5040B.1260C.210D.630

63CC-3!Do—63Uo21Loᐜᢧ*ᜩ62LoEᒕḄ5ᜩC⌱2ᜩ6ᒕḄ(LoḄ6Loᡠ⌱ᐰ᣸ᑡ6p63LoLoᑖ=6⌕◀2஺ᡠ⌱D11.ACDᑴA,B*+¡ᑺ6◤⌕ᵬஹ¦*+7ᧇ6¨©A+¡◤ᵬ7ᧇ3ª«6¦7ᧇ5ª«B+¡◤ᵬ7ᧇ5ª«6¦7ᧇ4ª«஺¬ᨵᵬ7ᧇ20ª«6¦7ᧇ25ª«6AஹB*+¡tᔜ3ᑺ6ᑣᐳᨵᑴAD஺A.2+B.4+C.6+D.8+D஺¯*+¡ᑖpᑴᑺx,yeN*,°⚪±Qr3y²lIWyW—x+4O]-55253x+5yW20[IWyW--x+—"4V=ᡠ⊤´Ḅµ44ஹ¶᝞¸5x+4yW25ᙠtᔜ3ᑺḄ¹º6ᐳᨵ8+4»Ḅᑴ஺⌱D,¼½¾☢µ¶ᑁḄ᦮~LᦪÂᨵÃÄ஺12.AᫀCDᨵ6Å᫹O᣸ᡂ3᣸,ÇᨵoÈr6ាᨵ*Å᫹OÉÊḄ4»ᙶᦪ(A)Aஹ36Bஹ48Cஹ72Dஹ96

64ËÌᫀAC┯¼784ÍᮣÏÐᵨ“ÓÔ”13.AᫀCD¨©Ö×ax+by+l=OCḄa,,b(ØÙFᔠ{-3,-2,-1,0,1,2}CḄ2L4»ḄᐗÛ6ÜÝÖ×ḄÞßàᜧ:60°,âãäᔠRjÖ×ḄᩩᦪᐳᨵADAஹ8ᩩBஹ11ᩩCஹ13ᩩDஹ16ᩩËÌᫀAD┯¼78æ⚪᩽᧕⍡cèᑖÖ×14.3CD¨©Ö×ax+by+l=0CḄa,b(ØÙFᔠ{-3,-2,31,0,1,2}CḄ2L4»ḄᐗÛ6ÜÝÖ×ḄÞßàᜧ:60°,âãäᔠRjᩩéḄÖ×ḄᐳᨵA.8ᩩB.11ᩩC.13ᩩD.16ᩩËÌᫀD15.A3CDê´ëfḄ7Lìí᣸ᡂ3᣸6Lìíê´îஹï*+ð⁐6ᡈ4ê´.òê´ᐸCLìí6óÉÊḄ*Lìí4»ôê´6ᑣõê´ëÍöê´Ḅ4»Ḅ÷m+ᦪA.80B.60C.48D.10ËÌᫀA16.A3CDøùᨵᵬஹ¦ஹúᩩᜧì4»Ḅû‷6ᵬᙶ3o6¦ᙶ2o6ú|Íᙶ1o6Çᙠ3Lᜧoý2Lìþÿ‷ᓫ1ᙶ‷ᑣḄᙶᦪᨵA21B27C33D34ᫀB⚪1.!ᔠᵨ={x|14x«10,xeN},$%Ḅ&'!A,()A*+,ᐗ.k,/0121345᝞A={1,3,6},(475821>1+-1.3+-166=2,ᑣ$MḄᡠᨵ&'!:;5Ḅ<=2560.2.>*?@AX]+X2+X3+X4=5ᐳᨵCḄ&D᦮ᦪF஺ᫀ56┯IJKLᑖN4F3.>*ᐵP⚗RX—1ᱥ9ᨵTᑡV,W⚪জY⚗Z[*&\ᦪ⚗Ḅ]ᦪ581ঝY⚗Z[R*]ᦪᨬᜧḄ⚗=a1000⚗ঞY⚗Z[R*a6⚗8C^x1993

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