平面向量的实际背景及基本概念

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2.1☢ᔣḄ▭ᭆஹ⌱⚪ᐳ5⚪⚪5ᑖᐳ25ᑖ1ஹ
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22.2.1☢ᔣḄឋ()ஹ⌱⚪(ᐳ5⚪⚪5ᑖᐳ25ᑖ)1ஹᙠ++#4AஹB,CACஹCDDஹ2ஹᙠopABC!1=11=11=1,”☠1Ḅ@Aஹ0Bஹ1C>V2Dஹ23ஹ£ABC!DஹEஹFᑖn@qABஹBCஹCAḄ!ᑣ.+¦#4AஹB,FCC>FED.BE4ஹᑡ>©ª!-«ᓄᡂ®ḄAஹMB-DA-BMBஹNC-NA+CDCஹ(AB-DC)+BCDஹ(AD-BM)+(BC-MC)5ஹᑡ#©!./Ḅ>ᦪজa+b=b+a9ঝa-b=b-a9ঞ0-a=-a9ট-(-a)=a9ঠa+(-a)=0Aஹ5>Bஹ4>Cஹ3>Dஹ2>⚪K12345Lᫀµஹ¶·⚪(ᐳ4⚪⚪5ᑖᐳ20ᑖ)6ஹᙠ01qABCD!=2ᢓºA-=,BD=7ஹkl10Al=lal=3,1஺8l=lbl=3,NOAB=60°,ᑣla+b1=஺8ஹDஹEஹFopABCqAB,BC,CA`Ḅ!ᑣ#©7জ+-/=0®F5+DE-EF=O®5E+DA-BE=Oট+-=0ᐸ!./Ḅ⚪K09ஹᔣa,bÂÃlal=8lbl=12Ula+blᨬᜧ,Ç-blᨬooஹÉL⚪(ᐳ3⚪ᐳ55ᑖ)10ஹ(15ᑖ)᝞Ë01qABCD!klACBD"4O,AC=a,BD=b,Ì

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42.2.2☢ᔣḄឋஹ⌱⚪ᐳ5⚪⚪5ᑖᐳ25ᑖ1>aஹbஹc@DEᔣMå@Þᦪᑣ5⚪7জb5a=>aஹbᐳঝa//b=>a=^b,ঞaஹbஹcᙠB>0ᑁ=>a=2b+|ic,ᐸ!é5⚪Ḅ>ᦪAஹ0Bஹ1Cஹ2Dஹ32^klᔣe1ஹ©2-ᐳa=kei+e2,b=e]+ke2
abᐳᑣk=Aஹ±1Bஹ1Cஹ-1Dஹ03ஹ
=3,=-51,^ïð#,ᑣqABCDAஹ01qBஹfCஹ#ῪfDஹ4ஹ
ñஹᨬ-ᐳᑣᑡᔜs!Ḅó>ᔣᐳḄ,1-11-1—--Aஹa=G-02õ=/,+ö02Bஹa=,Z7—2^|-3e,11ߟ—1-1-C^562஺=26-3^Dஹ஻=q+G,o=-ö஺2klAB=3fefûCBüýþµÿ◞ḄA^AஹBஹCᐳBஹAஹBஹDᐳCஹA^CஹDᐳDஹBஹCஹDᐳ⚪12345ᫀஹ⚪ᐳ4⚪⚪5ᑖᐳ20ᑖ6ஹ!"a=ei+e,b=3ei-2e2,c=2ei+3e2,#a=mb+nc,$ijm+n=஺27ஹ'(Xg+,ᦪ.a^b+/ᐳḄᔣ1.23ᔣ1c=Xa+pb,c//a.ᑣᐭ8p9:Ḅᩩ<+஺8ஹ'(a=[=>,b=21+&?ᔣ1^^/ᐳ.ᑣ@k=A.a//bo9ஹ'(DA48CḄDBCḄEᑖ.HI=J*=ᔲᑣM=,ᡈOஹ⚪ᐳ3⚪ᐳ55ᑖ10.O15ᑖABCDḄPᩩQRQSTUM,WXOJ==Yᵨ25⊤\MA.MB.MC^nMD஺

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62.3.1☢ᔣḄᳮᙶ᪗⊤()ஹ⌱⚪(ᐳ5⚪⚪5ᑖᐳ25ᑖ)1ஹ^48=(3,4),A=(2,1),ᑣBᙶ᪗+Aஹ(5,5)Bஹ(-5,-5)Cஹ(1,3)Dஹ(-5,5)2ஹ'(a=(-1,3),b=(x,1),Wa//b,ᑣxEU1Aஹ3Bஹ-3Cx-Dஹ--333ஹmᑡᔜpᔣ1fSqrsḄAஹa=(-l,2),b=(3,5)Bஹa=(l,2),b=(2,l)Cஹa=(2,-l),b=(3,4)Dஹa=(-2,l),b=(4,-2)4ஹ^a=(X],y]),b=(X2,y2)bW0,AeRᑣmᑡuvwa//b,M/uᵫa//bvwḄᩩ<Aஹa=ba=kbcஹxy=xyiD^xiyi=xy12222315ஹ^a=(=,sina),b=(cosa,-),Wa//b,ᑣ┦Ra+YDAஹ30°Bஹ60°Cஹ45°Dஹ75°⚪12345ᫀஹ⚪(ᐳ4⚪⚪5ᑖᐳ20ᑖ)6ஹ'(|a|=2⌲.b=(-l,3)fLa஻b,ᑣaEU஺7ஹHA(l,-3),B(8,-),C(x,l)ᐳ.|Ux=____________஺28ஹ'(A(-1,-2),B(2,3),C(-2,0),D(x,y).WM.ᑣx+y=,9ஹ'(lai=10,b=(3,-4),Waj_b,ᑣa=஺ஹ⚪(ᐳ3⚪ᐳ55ᑖ)10ஹ(15ᑖ)'(A(-1,2),B(2,1),C(3ஹ2)kD(-2,3)}~.+=pᩭ⊤\5++஺

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82.3.2☢ᔣḄᳮᙶ᪗⊤()ஹ⌱⚪(ᐳ5⚪⚪5ᑖᐳ25ᑖ)1ஹHᔣ1a=(x+3,x2-3x-4)8ISE.'(A(L2),B(3,2),ᑣxḄe+Aஹ-1Bஹ-1ᡈ4Cஹ4Dஹ1ᡈ-42ஹ'(A(-1,-2),B(2,3),C(-2,0),D(x,y)WAC=230,ᑣx+yEU11111111AஹBஹCஹDஹ22333ஹ'(A(2,3),B(-2,6),C(6,6),D(10,3),ᑣ}AஹBஹCஹD+⚔ḄD.AஹBஹD/EḄrsDCஹDஹPpQDᙳ/rsḄD—•1—•4ஹ'(M(3,-2),N(-5,-l),WMP=—MN,ᑣPᙶ᪗+233Aஹ(-8,1)Bஹ(-1,--)Cஹ(1.T)Dஹ(8,-1)225ஹ'(ᔣ1ு=(cosasin8),ᔣ1ᔜ=(73,-1)|”23—BIḄᨬᜧe.ᨬ£eᑖgA.4¤0B.4,472C.16,0D.4,0⚪12345ᫀஹ⚪(ᐳ4⚪⚪5ᑖᐳ20ᑖ)6ஹ'(a=(l,y),b=(x,-2),W2a3b=(5,8),|(Ix=,y=஺7ஹ'(A(1,2),B(2,y),C(x,3),D(3,2)HDABCDrsD.|ljx+y______o8ஹ'(ᔣ1a=(l,2),b=(x,l),u=a+2b,v=2a-b,Wu஻v,ᑣ஺9ஹ'(A48Cf.A(2,-l),B(3,2),C(—3,1),BCDḄ¥+AD,ᑣM=஺ஹ⚪(ᐳ3⚪ᐳ55ᑖ)10ஹ(15ᑖ)'(A(4,0),B(4,4),C(2,6).jᵨᔣ1¦dACkOB(O+ᙶ᪗§)TPḄᙶ᪗஺

911ஹ(20ᑖ)r☢ᑁ¨©`ᔣ1ª=(3,2)/=(—1,2),3=(4,1),¬mᑡ⚪:(1)d9:a=mb+ncḄ,ᦪm,n(2)(G+k஻(2$-%),d,ᦪk(3)H29:(°=+W±=²=ᨵ.d2஺12ஹ(20ᑖ)'(O(0,0)A(l,2),B(4,5)¶0P=0A+fA8஺j¹(1)t+eA.Pᙠx¼ᙠy¼Pᙠ¾¿À▲(2)DOABPuᔲ+rsDHu.dwSÂteH/u.ÃÄÅᳮᵫ஺

102.4.1☢ᔣḄᦪஹ⌱⚪ᐳ5⚪⚪5ᑖᐳ25ᑖ1.QUᔣ1aஹbஹc,ᨵmᑡ`EÇ:জ஺£=6,ঝOa=O,ঞ3b]c=aObc],টbbl=lallbl,ᐸfÎḄ`ᦪ+Aஹ4`Bஹ3`Cஹ2`Dஹ1`2.QUᔣ1mஹn,HImI=4,InI=6,Wm8nᜳR+135஺ᑣ஻EUAஹ12Bஹ125/2Cஹ-12V2Dஹ-123.'(IaI=1,IbI=J5Wa-b8aᚖ.ᑣa8bḄᜳR+Aஹ90°Bஹ60°Cஹ45°Dஹ30°4.23ᔣ19:IaI=IbI,Wa8b/rs.ᑣᔣ1a+b8a-bḄÕÖᐵØAஹrsBஹᚖCஹᐳWᔣDஹᐳWᔣ5.mᑡÙ⚪fÎḄ¹AஹHa-b=0|lja=0ᡈb=0BஹHa-b=0ᑣa஻bCஹHaJ_b|ijab=Oa-b]2DஹHaஹbᐳ.|ija-b=IaI-IbI⚪ᫀஹ⚪ᐳ4⚪⚪5ᑖᐳ20ᑖ6.'(ᔣ1aஹb,ᨵIaI=2,IbI=2,a-b=2|Wa+bI=஺7.RABCf.IM1=3,1X?1=4,1Ý1=5ᑣM•ß=o8.'(lal=5,lbl=4,Wa8bḄᜳR+60஺.ᑣ@Wá@k=A.ᔣ1ka-b8a+2bᚖ஺9.'(aஹbâ23ᔣ1.Wa+3b87a-5bᚖ.a-4b87a-2bᚖ.ᑣa8bḄᜳR+஺Oã\¹ᵨabᑖg⊤\]ஹ⚪ᐳ3⚪ᐳ55ᑖ10.15ᑖ^P23/ᐳᔣ1äஹ£-•=11O1]jΩᜮᦪk,ækq+4kq+Ze2ᐳ஺—♦—*—►»_—».—►»O2]Hlej=2,1021=3,4êḄᜳR++60°,jΩ,ᦪᓃækq+e?kq+ᐳ஺

1111.20ᑖ]'(ei8e2ᜳR+60஺ḄᓫÕᔣ1.Wa=2e1+e2,b=-34+2©2,dab¶a8bḄᜳRao12.20ᑖ]'(/ᐳḄ£,í2ᔣ1PPᡠᡂḄRSE.ðW=1,ñ=2ₚ=3,jdᔣ1a+b+cḄóô}¶8'(ᔣ1ḄᜳR஺

122.4.2☢ᔣᦪḄᙶ᪗⊤ஹᜳஹ⌱⚪(ᐳ5⚪⚪5ᑖᐳ25ᑖ)Iஹ'(a=(2,3),b=(-4,7),ᑣaᙠbᔣḄᢗö+A>V13BஹøCஹùDஹ7652ஹ'(RABC⚔ᙶ᪗ᑖg+A(5,2),B(3,4),C(-l,-4),ᑣú`RAஹ┦RRBஹRRCஹEῪRRDஹüRR3ஹ^a,b+P`23ᔣ1.Wa=(X|,yi),b=(X2,y2).ᑣ}mÙ⚪f8a_LbEÿḄ
ᦪᨵজab=OঝX]X2+yiy2=0®ia+bl=la-bl@a2+b2=(a-b)2Aஹ1
Bஹ2
Cஹ3
Dஹ4
4ஹ"#a=Q,2),b=(-3,5),'a(bᜳ*+,*-ᑣᐭḄ013+5ஹ"#a=(3,4),b=(2,-l),᝞5ᔣ7a+89-bᚖ;-ᑣ<ᦪᜧ>⚪@Aᫀஹ⚪(ᐳ4⚪⚪5ᑖᐳ20ᑖ)6ஹ"#a=(5,-7),b=(-6,-4),EIjab=஺7ஹ"#a=(I,4),b=(-3,5),'a9bḄᜳ*+,*-ᑣᐭḄ013+«8ஹ"#a=(l,2),b=(-3,2),ᑣk=M-ka+b9a-3bᚖ;.9ஹ"#£=(2,3)[=(-1,-2),"=(2,1),ᑣ(£S"=.a(bc)=:ஹ⚪(ᐳ3⚪ᐳ55ᑖ)10ஹ(15ᑖ)"#a=(cosa,sina),b=(cosp,sinp)(0P

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142.5.1b☢Ḅᔣ7ஹ⌱⚪(ᐳ5⚪⚪5ᑖᐳ25ᑖ)1.zgP(l,—2),o=(1,—2),EUA.gP9gAᔠB.gPᙠiC.gP9gBᔠD.OP^AB2.M>ABCḄ-DஹEஹFᑖ+ABஹBCஹCAḄg-ᑣ+f+A.6MEB.-6MFC.0D.6MD3.ᙠA6C-AB=AC,DஹEᑖ+ABஹACḄg-EIJA.f=ᙠB.o9ᐳhC.BE^BCD.9ᐳh4.zo=21,o=—31,'o9oḄ_-ᑣABCD+A.bB.¡C.Ὺ¡D.£5.¤ZSABC-ᔣ7A89ACuv(^^+^^)•6C=0,'=^•=^=—,ᑣA8CIABIIACI1481IACI2>A.;*¦*B.Ὺ¦*C.¦*D.Ὺ;*¦*⚪@Aᫀஹ⚪(ᐳ4⚪⚪5ᑖ,2206.ᙠb☢iᨵ4ஹBஹC¦g-uv1§1=1ᐗ1=1,1©1=6ᑣ'AB'BC+'BCCA+CAABḄ1>7.Io1=1.5,Iᐗ1=1.5,Iª1=1,ᑣI«—ªIḄ1+.8."#b☢i}~ḄgAஹBஹCஹD,z¬¬•53+o•o+o•f=0,ᑣ4ABCḄ+.9.®#a=(-3,-2),b=(4,k),z(5a-b)(b-3a)=55,ᑣ<ᦪkḄ1>஺ஹ⚪(ᐳ3⚪ᐳ55ᑖ)10.(15ᑖ)"#b☢ᔣ7o=a,AC=b,\a\=4,\b\=3,ZBAC=fi,(2a-3b)(2a+S)=61.\᜛Ḅᜧq11.(20ᑖ)"#ᙠAABC-AB=(2,3),AC=(l,k),'AABCḄj
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181.°±ABCDEFÈÉÊËlÌ=W,~AE=b,ᑣÌ=—>—>f->—>—>f—>A.—b)B.y(/?—ci)C.a+fbD.■^■(a+b)2.ᙠÔÊËABCDAB=DC,lAC•80=0,ᑣÔÊËABCDA.ÖËB.×ËC.@ØÙËD.ÚῪÙË3.sIhÜÝᐳbḄÞßᔣlh3+kàᐳbᑣkḄáA.1B.-1C.±1D.ãäÝßḄYᦪ—>—>-->—>—>--->—>—>--->—>—>4.sa,஻ÝᐳbᔣAB=a+2b,8c=-4a—b,CO=-5஻-3ᓃ,ᑣᑡᐵëìÈíḄ(A)AD=BC(B)AD=2BC(C)AZ)=-BC(D)AO=~1BC5.☢ïÔð⚪Á(1)Yᦪ"?HᔣaஹbឤᨵÁm{a-b)=ma-mb',(2)Yᦪ஻”Hᔣa,ឤᨵÁ(3)ôma=mb(jnGR),ᑣa=b\(4)ôma-na(m,nGR),÷!àm=n.ᐸÈíð⚪ḄᦪA.lB.2C.3D.4⚪ùúᫀüஹýþ⚪(ᐳ4;⚪m;⚪5ᑖᐳ20ᑖ)6.°±M(-2,7)ஹN(10,—2),PMNḄ8PN=-2PM,ᑣPḄᙶ᪗____________________________7.a=(1,2),h=(—2,3),ka+8$a—kbᚖ'(Uk=8.MஹNaABCḄ-BCஹCAḄ.=/BC,CN=3CA=a,0=%ᑣ2=.9.aஹ45ᦪa.b7ᐳḄᔣ:;(2a+e4)a+(a-3>?ᑣa=>஺BஹCD⚪(ᐳ3F⚪ᐳ55ᑖ)10.(15ᑖ)0^J!^ᑁMN4403=150°,NCO8=90°,QR=a,ᔊ=/?,V=c,Ia1=2,1஺1=1,1c1=3,ᵨab⊤Fc஺11.(20ᑖ)Q[\]ᔣ:a^b7ᐳ᝞`A8=a+ᓃCD=3(஺-6),BC=2a+Sb,de/AஹBஹDBᐳ஺

1912.20ᑖᑭᵨᔣ2'3456789:;<-%Ḅ;<:=>:஺§3.1.1Ḅ.ஹ⌱⚪ᐳ5⚪⚪5ᑖᐳ25ᑖ

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aNq=r,4.;oa┦oᑣcosaḄk2V6+1B2Glc26+1D26-11t66665.;A46CḄBᑁoAஹBஹ஺ᡂltᦪᑡsinA-sinC-cosA-cosC=1V2V31A.-A.A.----2~22⚪v1345Dᫀxஹyz⚪jᐳ4F⚪,{F⚪5ᑖᐳ20ᑖg6.dk
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a0Ḅk஺3511.
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2112.(20ᑖ)@$aஹp>(0,—),sina+siny=sinp,cosp+cosy=cosa,&p—aḄ!.§3.1.2ABCḄDEஹFEஹDᑗHI.ஹ⌱K⚪ᐳ5M⚪NOM⚪5ᑖNᐳ25ᑖ1.ᙠA48C-N3sinA+4cos5=6,P4sinB+3cosA=1,ᑣ/CḄᜧMS

22A.30"B.150"C.30"ᡈ150"D.60°ᡈ120°Iitanc/2.;sin(a+஺4-,sin(a-p)=ᑣᔳḄk23tan£11A.—B.NC.5D.-5553.;tan-a]=3,ᑣtanalmA.—2B.—C.-D.2222TT1TT4.4tan(a+/?)=—tan(ᨴ——)=—ᑣtan(a+—)lm()54445.ᙠABC;0

2312.(20ᑖ)&'(l)tan20°tan300+tan30°tan400+tan40°tan20°=1(2)ᙠ\ABC-NtanA+tanB+tanC=tanA-tanB-tanC§3.1.3TḄDEஹFEBDᑗHI.ஹ⌱K⚪ᐳ5M⚪NOM⚪5ᑖNᐳ25ᑖ1.Utan஺=3,sin20-cos20Ḅ!S77A.-B.----c,7D.—355

242./(cosx)=cos2x,(ij/sin/Ḅk12C.----DTI423.dktan700cosl00(gtan20°-l)ḄkV3A.-1,B.--C.1D.2~Tl-2cos2—4.¡ᦪ/jxg2tanx----------2.,¢£/(¤)Ḅklmsin—cos—‘N22-¦B.473C.-473D.83cos2a-4^,ᑣcosa+sinaḄk5.j2007§ஹ¨ᦻᳮ9g;«sinf2AB.-1C.1nA.----D.222V⚪v12345Dᫀxஹ⚪(ᐳ4F⚪,{F⚪5ᑖᐳ20ᑖgcos10006.ᓄḄ®`.cos50•J1-sin100°17.Ḅksin10°cos10°ஹ5J7tcos2x¤“8.cos(--Fx)=—,0

2512.j20ᑖgj2007·¸ᳮ17gcosa=r,cosja-஺g=",O<0

26ঞàÐtan(a+£)=záᡂÔḄᩩã"+஽åz)£æ"+஽çeZ)r1-tancr-tanp22ট7×ᙠëìíÊa^î3,Ùsin(a-ï)=sinacos/y-cosasin/?rᐸᎷË⚪A.জঝB.ঝঞC.ঞটD.ঝঞট432.cosa=g,cos(a+P)=—,H.aó஺┦o¢£sin0Ḅk17æ37A.-B.—C.-D.—5255253.Éᑡ¡ᦪJU)$g(x)7Þ⊤ôõN¡ᦪḄA./(x)=sin2x,g(x)=2sinxcosxB./(%)=cos2x,^(x)=cos2x-sin2xC.f(x)=2cos2x-1,=l-2sin2xD.f(x)=tan2x,g(x)=-------l-tan-x4.cos/?=a,sina=4sin(a+᜛)ᑣtan(a+/7)ḄkA.J1"B.-J1"C.¤ߟ«4.¤J——Da-4a-4.J]_.2"45.sin20°cos70°4-sin10°sin50°ḄkA.1B.3C.1D.VI4224⚪v12345Dᫀஹ⚪(ᐳ4⚪⚪5ᑖᐳ20ᑖ)fᵪsin65°+sinl5°sin10°.6F6•ùú/----------------------Ḅk.sin25°-cos15°cos80°7.dk:[2sin500+sin10°(1+V3tan10°)]•JZsii^O”138.2007´ý11
;cosja+/3=~,cosja->9g=—>.WJtantztan/3=.9.2007ᓅᦻᳮ13
2002ᙠᓅḄ▭ᦪᜧ᪗ᡃᦪḄẠ!Ḅ.ᵫ$%ᐰ'()*)+,-%./0+1ᡂḄ-%ᜧ/0+3᝞5.᝞6./0+Ḅ☢81,ᜧ/0+Ḅ☢825,()*)+<=.Ḅ┦)?@cos2஺ḄE'F_________ஹ⚪ᐳ3⚪ᐳ55ᑖ10.315ᑖ5JKtana,tanfjᐵFxḄ0S5x2-2x77^=5+2”?=0Ḅ[%\᪷,^tan3a+05Ḅ_Ea஺11V211.315ᑖ5JKAABCḄ*%ᑁ)fghA+C=2B,----1----=-----cosAcosCcosBA-C^cosḄE.2

27TTt[ITT\12.320ᑖ532007jkᳮ165JK0

28_•242"2.sin-----cos—ḄE1212A.CGD.B.-222203.JK஺H▲)25sin2+sine-24=0,ᑣcosḄE233V24A.--B.±-c.---D.±-5525᝞6sma_44••ᑘ.-—,?@sina+cosaḄE1+cosa27829A.-B.-C.1D.——5515s2sin2acos2a'F1+cos2acos2aA•tanaB.tan2aC.1D.-2⚪¡12345¢ᫀஹ⚪(ᐳ4.⚪.⚪5ᑖᐳ20ᑖ)6.JKcos6=-3,¤6ீ¥¦ij(sing-cos2)2=52227.JKx+y=J^sin(6+ᓛ)x-y=V2sin(^-—),^¨hx2+y2=448.sina+sin£=©,cosa+cos£=g,¦Ucos2~~~~=9(2cosx-sinx)(sinx+cosx+3)=0,ᑣ2cos'+sin2'ḄE1+tanx*ஹª¢⚪(ᐳ3.⚪ᐳ55ᑖ)10.(15ᑖ)^¨hপsina•sin0=——[cos(a+/?)-cos(a+/?)]+O.6-(p(2)cos஺-sin°=2cos------sin......-22

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30A.-1,B.—C.1D.22l-2cos2—3.JK·ᦪf(x)=2tanx--------------2,?@f(2)ḄE'Fsin—cos—1-22A.-¸B.473C.-473D.834.JKtanaஹtanp0S7x?—8x+1=0Ḅ[᪷ᑣlan--^ߟD.-2ᡈ¯A.-2,B.—c2-21+sin4a+cos4a5.------------------------=1+sin4a-cos4a(A)cota(8)cot2a(C)tana(£))tan2a⚪¡12345¢ᫀஹ⚪(ᐳ4⚪⚪5ᑖ,ᐳ20ᑖ6./(2sinx-1)=cos2x,ᑣ/(x)Ḅº»¼.>.sin100+sin20°cos300½.“7.!¿--------------------?ᐸE____________.cos10°-sin20°sin3008.JKcos(2+Á=9.0

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34A.[0,7B.JᑘC.J7D.Ji]633363.ABᔣDᔁ+•ᓻHI(@_+->O=0#•Q^=1,ᑣ^ABClAfcllAtllAfellAtlzA.Z[ᙳ]^_ḄZ-`B.a-Z-`C._ῪA_[Z-`D._[Z-`4.ᔣDa,B,c#a+B+c=0dlal=3,lbl=4,lcl=5.ha+BḄᜳ-i3+cḄᜳ-஺?Z+lḄᜳ-mᑣḄᜧᐵo2A.0<0<0B.0<0<0C.0<0<0p.஺3<஺2<4]23[322i{5.᝞tAA4GḄZvᑁ-Ḅxy/ᑖz_%A4B2c2ḄZvᑁ-Ḅ{y/|UA.AA~G4482c22┦-Z-`B.AA££AA282G2-Z-`C.A4/G2-Z-`&&஺22┦-Z-`D.AA4cl2┦-Z-`AA262c22-Z-`⚪12345ᫀஹ⚪(ᐳ4⚪⚪5ᑖᐳ20ᑖ)6.hᔣD஺=(cos23°,cos67°),b=(cos68°,cos22°),a-b=;7.hᔣDG+BḄᜳ-9,£=(3,3),2b-a=(-lA),|ijcos6=.8.ᔣDa=(cosa,sina),b=(cos/,sin/?),#awb,a+b+a-bḄᜳ-Ḅᜧ2____________________.9,ᔣDZ=(l,sin஺)B=(l,cos஺)ᑣ©Ḅᨬᜧ/.Zஹ⚪(ᐳ3⚪ᐳ55ᑖ)10.(15ᑖ)h/(x)=a/-4,ᐸᔣDa=(2cosx,l),/?=(cosx,6sin2x),xwR,/(x)=—3—6,#XXḄ/.11.(20ᑖ)AஹBஹ஺AASCḄZvᑁ-a=(sinB+cosB,cosC),b=(sinC,sinB-cosC),(I)¥H=0-Al—1(II)a=—?tan2A.5

3512.┦-AA5CZvᑁ-AஹBஹC,§ᔣDp=(2-2sinA,cosA+sinA),q=(sinA-cosAJ+sin/l),¥p+q2ᐳªᔣD(1)ZAḄᜧd(2)ᦪ«=25I28+3$9ᑈ.ᨬᜧ/®ZBḄᜧ3489ᦪ5676ஹ⌱⚪(ᐳ5⚪⚪5ᑖᐳ25ᑖ)1.hg(x)=asin%±+60+²஺$(³±+´)+4((!ஹ¶3ஹ2ஹ1))ᦪ)¥g(2003)=6,ᑣ§(2004)Ḅ/2Aஹ3Bஹ2Cஹ6Dஹ]¸¹

36...cos2aº2.¥7------——?|ijcosa+sinaḄ/2sina--l4A.1BOc»2223.sin220°+cos250°+sin20°cos50°Ḅ/A.lD.--------C2224.(2006¼½¾ᔁ)ᦪ/(x)=d(sinx+cosx)-Jsinx-cosMᑣ/(x)Ḅ/¿2A.[-1,1]B._À1C.[t_]p.[1,5.ᦪy=sinxcosx+JJcos216ḄÁÂḄvÃÄÅ2()A,ÆÇB”—5G(ÈD.ᓝÊ⚪12345ᫀஹ⚪(ᐳ4⚪⚪5ᑖᐳ20ᑖ)6.ᙠAABC35Ì4+4853=6,4$1118+32006.8.sin6°sin42°sin66°sin78°=d9.cos஺=2m-1,cos20=6m2+2m-7,ᑣ)ᦪmḄ./ÍᔠZஹ⚪(ᐳ3⚪ᐳ55ᑖ)10.(15ᑖ)sin(—+2a)sin(——2஺),஺£(—,),2sin2a+tana-cota-lḄ/.44442JI37r11.(20ᑖ)AஹBஹCḄᙶ᪗ᑖzA(3,0),B(0,3),C(cosa,sina),ae(—,—)22(I)¥IÑÒÓI,-aḄ/d(H)¥ÑÔ=-1,2sin%+s1n2eḄ/1+tana

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