广州市2022年高三一模考试数学试题及答案

《广州市2022年高三一模考试数学试题及答案》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。

2022ὃᦪ⚪
ᔁᑖ150ᑖὃ
ᵨ120ᑖ.ஹ⌱⚪⚪ᐳ8⚪⚪5ᑖᐳ40ᑖ.ᙠ⚪Ḅ⌱⚗ᨵ⚗ᔠ⚪!⌕#Ḅ.1.ᔠ4={621ீ1},B={x|0:*+ᦪᓽ@.ூA6௃ᵫ⚪@4={-1,0,1},ᡠᨵ408={0,1},ᡠᨵᐸ*ᑖHI0,{1},{0},{0,1},ᡠᨵᐳᨵ4+*ᦑ⌱MC2.NOᦪZ=2,ᑣ|z-i|=-.1+iA.2B.75C.4D.5ூ2⚪3ᫀ௃ூ3ᫀ௃Bூ6᪆௃ூᑖ᪆௃ᐜᓄXOᦪz,YᑭᵨOᦪḄ96.ூA6௃\,Oᦪz=2,1+1ᡠ]z—i=?--i=l-2i,1+iᡠ]|z-i|=jF+(_2)2=ᵫᦑ⌱MB3.ᵬ;ghiᙠ5ᜩlmᜩnopḄ+ᦪᵨqrs⊤u᝞s;lwᑡḄᦪy⊤uop+ᦪḄᓝ{ᦪ;h|Ḅᦪy⊤uop+ᦪḄ+{ᦪ;ᑣ}ᑡ~ḄI-.ᵬ$981798732135A.ᙠ5ᜩl;ᵬ;ghinopᦪḄ᩽

1B.ᙠ5ᜩl;ᵬ;ghinopᦪḄl{ᦪC.ᙠ5ᜩl;ᵬᙳnopᦪᜧgᙳnopᦪD.ᙠ5ᜩl;ᵬnopᦪḄgnopᦪḄூ3⚪3ᫀ௃ூ3ᫀ௃Cூ6᪆௃ூᑖ᪆௃ᵫqrsḄᦪ;ᑖHᵬஹgno+ᦪḄ᩽;l{ᦪ;ᙳᦪ;;6.ூA6௃ᵬᙠ5ᜩlmᜩnopḄ+ᦪ,M18,19,23,27,28gᙠ5ᜩlmᜩnopḄ+ᦪ,M17,19,21,23,25A,ᵬnopᦪḄ᩽,28-18=10,gnopᦪḄ᩽,25-17=8,ᦑA┯B,ᵬnopᦪḄl{ᦪ,23,gnopᦪḄl{ᦪ,21;ᦑB┯C,ᵬnopᦪḄᙳᦪ,18+19++27+28=23,gnopᦪḄl{ᦪ,17+19+21+23+25ᦑC;552+42+02+42+52D,ᵬnopᦪḄ,=16.4,gnopᦪḄ,542+22+02+22+42=8,ᦑD┯5ᦑ⌱MC4.y=/+iᙠ--1,0ᜐḄᑗ£,-.A.y=3x+3B,y-3x+1C.y=-3x-\D.y=-3x-3ூ4⚪3ᫀ௃ூ3ᫀ௃Aூ6᪆௃ூᑖ᪆௃9:¤¥ᦪ;ᑭᵨ¤ᦪḄ¦§¨©ᑮᑗḄ«᳛;Y9:஺Ḅ®;ᑭᵨ«¯9:ᑗ£.ூA6௃/'(x)=3f,ᡠ]/'(-1)=3,²³´=-1µ;a=x3+l=-l+l=0,ᡠ]y=d+iᙠ-T,஺.ᜐḄᑗ£,My=3-x+l.,ᓽy=3x+3ᦑ⌱MA5.-x+3y.-x-2»Ḅº»¯l0VḄ½ᦪ,-.A.60B.24C.-12D.-48ூ5⚪3ᫀ௃ூ3ᫀ௃Bூ6᪆௃

2ூᑖ᪆௃✌ᐜᑏ:(x-2y)6º»¯À⚗;Yὃ⇋À⚗Ãx+3yÄᑮÅḄ⚗;ᓽ@½ᦪ.ூA6௃ᵫ(x-2y)6Ḅº»¯À⚗,Æ1=஺_?-;(_2ᵪ;=(_2)'ᨬÉ6"/;ᡠ](x+3y)(x-2y,Ḅº»¯/Ê⚗,ËÌ—6CM]•,ᦑ½ᦪ,4Í-6CM=24.ᦑ⌱MB6.N¥ᦪy=/(x)ḄᜧÎsÏ᝞s;ᑣ/(x)Ḅ6᪆¯@ÐI()Y2PAp2xi1Y2Pxp2x1A./(x)=B./(x)=-^C./(x)=^--D./(x)=^e+1x~ee-1xeூ6⚪3ᫀ௃ூ3ᫀ௃Dூ6᪆௃ூᑖ᪆௃᪷Ó©Ô᣸◀A,᪷᜻Ꮤឋ᣸◀B,᪷®ÔᡈᓫÜឋ᣸◀C.ூA6௃ᵫs@¥ᦪÓ©Ô,{x|x#O},ᵫÝ᣸◀AÞ¥ᦪsßᐵáâ;ᑣÞ¥ᦪ,᜻¥ᦪ;◤äåæx)+y(—x)=0,B⚗M+A—x)#0,ᦑ᣸◀BCçDᙳäåᐔ0+./(—x)=0,x2exx2]f(2CM1(X)=e2x_]="³x->+8µ;-T0,ᦑ7exe♦y=x2éêḄë᳛ìy=evéêḄë᳛᠒;;/(x)îߟ0,e'ᓽsßᙠðñîð▲óôxñõñ;Ã⚪¨ö÷;ᦑ᣸◀C.øî;D⌱⚗.ᦑ⌱MD.7.ùúᱥEMV=8xḄᯖ,ýþn(4,0)Ḅÿ
EA,8
EḄ

3sC,BᙠAC|6=3,ᑣBCF
AACEḄ☢1!3AAer111二cA.4B.-5-6D.-7ூ7⚪'ᫀ௃ூ'ᫀ௃Cூ*᪆௃ூᑖ᪆௃᪷./ᱥᯖ23456ᑮ89ᙶ᪗<=ᑭᵨ/ᱥ@ABC8Dᙶ᪗EA8Ḅ@SRe?BCy-yABCCᙶ᪗ὶGE
/ᱥBCADᙶ᪗ᑭᵨHg==2cBC'ᫀ.SACKLMaACFூN*௃᝞PQ8R8஺ᚖEx=-2O,ᑣᵫ/ᱥZ[\]^|8_|=|8஺|=3,`EABax=^y+4,AxyJ,3ᵯ,%!C-2,y!,jk`l>0,ᑣx>0,a<°cᡠr9+2=3,*6^x=\,ᑣ4=8஽=8,*6^%=L2uᑣ81,—2w!2ᡠr_2"஻+4=1*6^{=|ᑣEABa}=~3+4ᡠrx=-2ᓽ¥>+4=—2,*6^%=T⊈ᑣ஺2,70!ὶGx=my+4
=8}6^y1-8w>1-32=0.ᑣ%%=-32,ᐸS&BCF_BC_%L_2&_j_ᡠrX=80,SAACFACy,-y126c8.wᦪa,6a>b,lnan>0,ᑣᑡj5LZᡂGḄ!A.logZ?<0B.a-->b--C.2ofe+l<2a+bD.ab-'

4ூ'ᫀ௃Dூ*᪆௃ூᑖ᪆௃᪷.¤ᦪᓫ¦ឋ¨Ina•Inb>06ᑮa>஺>1ᡈ0<Z?>0,y=lnxaᓫ¦⌴äᦪᦑlna>lnZ?,ᵫlna-ln/?>0,ᦑlna>lnZ?>0,ᡈInhlnh>0a>h>\,Ça-^--\b--\-(a-b\\\—YIு0^a-->b--^,b\a)Vab)baa}+l-(஺+6)=(஺-1Ì6-1)ு0,2ofr+1>2"+"lnb0,a---[b—=—ᦑJ…baaZ?+l-(a+Z?)=(a-l)(/?-l)>0,2ab+'>2a+bᦑABCᙳ┯Ï:D⌱⚗b-'ÑÒÓᯠ¸ᦪ(8Ll)lna<(a-l)lnÁajÕÖa×»-f<\/,××InaInZ?Inaln஻ÚL0஺ᡠr<,ᦑÜ◤Ý<ᓽ\,a-\b—\a—1b-\Inxj]nÞτ`y(x)=——(Þ>0ßß1),ᑣÚ(,=xág(x)=l----Inx(x>஺(IF*xol),ᑣg(x)=e_^=Þw(O,l),g'(x)>0,XG(1,+஺஺),g'(x)<0,ᡠrg(x)0XH1ឤᡂGᦑ/(ç=ᵯ£(x>0X/1)ᓫ¦⌴éÁa஺>ᡠrê

5B./ᙊCC.ᙊCᑮ/Ḅ1Ḅᐳᨵ2D.ᙊCᑮ/Ḅ1Ḅᐳᨵ3ூ9⚪ᫀ௃ூᫀ௃BDூ᪆௃ூᑖ᪆௃᪷#ᙊḄ$%ᐵ'(ᑨ*.ூ+௃ᵫᙊC:(x—l)2+(y+l)2=4,(8ᐸᙊ:ᙶ᪗(1,=1),>?2@LII_1_J?Iᙊ:(1,=1)ᑮ/:x+y-0=0Ḅ஻=D7^^=1@ᡠH(8⌱⚗B@DKL@⌱⚗A,CVI+12┯Q.ᦑ⌱SBD10.TUᦪW=4112XYZᔣ\]^9ᓫ$@`ᑮUᦪy=/(x)ḄYZ@ᑣbᑡdeKLḄf()jrA.g9=—,ᑣh=/(%)fᏔUᦪ4JTᐔB.g஺=^@ᑣh=/(%)ᙠmn0,oᓫp⌴rc.g᜛=',ᑣy=/(x)ḄYZᐵv(],()]xyTT71D.gz={@ᑣy=/(x)ᙠmn0,-ᓫp⌴|ூ10⚪ᫀ௃ூᫀ௃ACூ᪆௃JT71ூᑖ᪆௃ᵫUᦪ]^`}(x)=sin(2x—2஺)@0=4ஹ(p=-,ᔠKUᦪឋᑨ*᜻Ꮤஹ71xyឋH0,yḄᓫpឋ@ᓽ(`ᫀ.ூ+௃ᵫ⚪@/(x)=sin(2x-2஺)@TTTT0=W@/(x)=sin(2x--)=-cos2xᏔUᦪ@TTᙠo,-ᨵ2xe[0/],f(x)⌴|@ᦑAKL@B┯Q

671..°=o@/(x)=sin(2x-ᐔ)=-sin2x,@/(|)=-sin^-=O,ᓽ/(x)ᐵv5,()xy@ᙠ°'fᨵ’/পᓫp@ᦑCKL@D┯Q.ᦑ⌱SAC11.ᙠ¡ABC஺—4g£2¤@AB=2@AA=3,4)=4,ᑣbᑡ¥⚪¦¥⚪Ḅf()A.gAGC஺ᡠᡂḄ©9,ᑣtane=gB.g¬AḄ/¡ᡠᨵ®ᡠᡂḄ©¯@°/☢BCG4v²@ᑣAM=´C.g¬AḄµ¡ᡠᨵ☢ᡠᡂḄ©¶·ᑣsin஺"3D.g¬AḄ]☢£¡ᡠᨵ☢ᡠᡂḄ¹☢©¶஻@ºiJsin஻=^ூ11⚪ᫀ௃ூᫀ௃ACDூ᪆௃ூᑖ᪆௃A᪷#¡Ḅឋ¼ᑮAGC஺ᡠᡂ©Ḅ]☢©ᓽ(SB᪀¾¿n©ᙶ᪗',᪷#©¯@ᔠ¿nᔣÀᜳ©Ḅᙶ᪗⊤ÃÄcosீÆ@Ç7>=cos(É@É7>=cos,ᓽ(ÄMᙶ᪗@ÊÉLËÌCஹDT¡⊡H4®ḄK¡@᪷#ÎϼᑮxÐḄ஻Ñ]☢᜛@ᔠK¡ឋÄ☢©ஹ☢☢©ḄKÒ.ூ+௃AS᝞bY@AQ8ᡠᡂ©@ᓽAGABᡠᡂ©ZBAG@ᑣtan(p=tanZBAC,—,KLAB2BS᪀¾᝞bYÃḄᙶ᪗'@AḄ/¡ᡠᨵ®ᡠᡂḄ©¯@☢BCGᱏv

7Ø(Ù2,2)°Ù">0,ÚÛ=(0,0,3),Ü=(0,2,0),Ý=(4,0,0),ᑣcos=.=r=cos=.==&+4+Z2VX2+4+Z2cos=.X,ᦑX=z=2,ᑣAM=2â@┯Q.9yJx+4+zCS᝞bY@4Ḅµ¡ᡠᨵ☢ᡠᡂḄ©¶·ᑣµH4®ḄK¡Ḅ¡x©AM@ᦑsine=3,KL;3DS᝞bY@AḄ]☢᜛¡ᡠᨵ☢ᡠᡂḄ¹☢©¶஻@ä◤☢£H4®ḄK¡¤æḄçᩩ®⚔ᡠᙠ]☢]ê@᝞☢ᓽë@ᦑcos஻=9ì-=@,ᑣsin஻=᝞@KL.33ᦑ⌱SACD

8ூî௃ᐵᏉîS᪷#¡ᡈTᐸ⊡ᐰK¡@ᔠᔜ⌱⚗©ஹ☢©¯ᑨ*ᡈ]☢Ḅ$%@ÊÉÄxЩḄUᦪÒ.12.ᓝö÷øb>ùúᔠḄûü@ᝈË}þÿᦪ
ḄẠ℉Ḅ“ᡲᑖ”ᦪ
ᳮឋḄ᪀⌼ᱥᐹᨵᐺḄᑖᱯᐸ!"#᝞%&'()*+0,10ᙳᑖ234ᣵ6*Ḅ)*3(12ஹ:10:2;,<2=1>!&?'ᒕ%ḄAB)*0,-,-,1ᑖDᙳᑖ23EᔜG4ᣵ6*Ḅ)*3<2=2>!&LIJ>!KᙠM;>!ḄẠM'ᒕ%ḄᔜB)*ᑖDᙳᑖ23N᪵ᔜG4ᣵ6*Ḅ)*3I!"#PQᙢST%4ᒕ%Ḅ)*ᔠᓽ“ᡲᑖW=஻>!4ᣵḄ)*YZ<2᜛(஻)ᑣ()᜛(஻+1)3A.------=~dB.ln[ó(஻)]+l<0᜛(஻)----2C,᜛(஻)+᜛(3஻)>2᜛(2஻)D.rv(p[n)<64^(8)ூ12⚪iᫀ௃ூiᫀ௃BCூm᪆௃ூᑖ᪆௃ᑖ᪆⚪opq஺(஻);Bstᦪᑡᢥ᯿stᦪᑡឋx⌲;z{ᓽ|ᐸ6B⌱⚗ᓄᡂ;BsᦪᑡSTᑨQ,CDAB⌱⚗◤⌕ᑭᵨᦪᑡḄᓫឋSTᑨQᐸD⌱⚗◤⌕᪀⌼ᦪᑡᑭᵨz{ᓫឋ.ூm௃ᵫ⚪|஻=1,᜛প=gI஻=2,°(2)=2x—xg,n=3eব=22x—x—x—I1111n-4,p(4)=23XX~~X--X,3333ᵫ|,ᓽ;Bstᦪ723A&=A┯¡;Ẇ஻)3211(,22ஹ“22B&ln[^(n)]+l=ln[-|-]+l=஻ln—-ln2+l©2In^vO,ᡠ®¯ᦪᑡ2⌴±ᦪᑡ,23332²©2³”=1´ln§—ln2+l=—ln3+l<0,ᡠ®1·0(")]+1<0ឤᡂºB»¼;\ஹ2"11>2x112C&(p(ri)+(p(3n)>2

9ஹ2஻(2>2Á1+13574134³஻=1´1+—,ÂÃᡂº;993³஻Ä2´1ு2ÆÇឤᡂºᡠ®1+ÆÇு2ÆÇᡂº,ᓽ᜛È“Ç+᜛3஻Ç>202஻ÇᡂºC»¼;D&ÉÊÈ஻Ç=஻Ë஻Ç?Éᦇ(஻+1);%(஻)=(஻+1)2^>(7?+1)-n2^(n)=(n+l)2I2£<2|(«+l)2-n222I-n+4஻+2)É—஻2+4஻+2=0m¿4=2+Î,Ï=2-⍩ÈÑÇ©2஻eN*ᡠ®Ò4<஻<5,ᵫ|஻W4´Ó(஻+1)—ᦇ(஻)>0I“25´Ó(஻+1)—%(஻)<0,ᦑÊÈ5Ç2ᨬᜧ×,%È8Ç=8?᝖8
=64᝖8
,᪷ÚᓫឋÊÈ5Ç>ÊÈ8
,ᓽ/᜛Ü<64p8
PឤᡂºD┯¡.ᦑ⌱&BCஹÝÞ⚪&ß⚪ᐳ4á⚪Já⚪5ᑖᐳ20ᑖ.313.Wsinaa,ᑣtana=5ூ13⚪iᫀ௃3ூiᫀ௃*ூm᪆௃ூᑖ᪆௃᪷ÚNããäᦪḄßᐵæçè|¿;34\7tூm௃m&©2sina=(,sin2+cos2a-1,ᡠ®cosa=é;©2ê|,ᡠ®24cosa=——5sina3ᡠ®tanacosa43ᦑiᫀ2&ᔩ14.ìíA5CQḄ½Y22,NAHC=60஺îPᙠ8C½MÈᒹðñîÇᑣò,9ḄÒ×

10ô.ூ14⚪iᫀ௃ூiᫀ௃[-2,2]ூm᪆௃ூᑖ᪆௃®C2Âîõ2xö»÷ᔣ"CᚖúᔣM÷ᔣ2yöûºü☢úãᙶ᪗
ᑭᵨᔣḄᙶ᪗.᝞
C
xᔣ
Cᚖᔣᔣ
!"☢$ᙶ᪗.%&'ABCDḄ)*2,ZABC=60°,ᑣB-2,0,C,0,0,Q,l,G
,A,—l,6
.%PᙠBC),ᒹ/0
ᡠP,f,0,ᐸ32,0].ᡠ4=,2,0,^+ᡠ5•5=2f+2.%2,0],ᡠ85=2r+2e[—2,2].ᦑ:ᫀ<[—2,2]15.=>?@┵B-ABCḄ@AP,AB,ACDDEFᚖ
AP=A8=AC=2G
⚔PᳫJ
4KLMNOᳫ
ᳫ☢P?@┵Ḅ⊤☢FRSᑮUVW
ᑣᨬ*WḄW*YZ.ூ15⚪:ᫀ௃444ூ:ᫀ௃^##N`33ூ᪆௃ூᑖ᪆௃c?@┵ABC⊡ᐰ@*26Ḅf
᪷h=>ᩩjᑨl@┵ᔜ☢ᳫ☢FRᡠᡂᙊWḄᙊJஹKLqrsᙊJ$
t5uW*
ᓽw>ᨬ*W*.ூx௃ᵫ⚪z
c?@┵P-ABC⊡ᐰ@*2gḄf
᝞{<

11|A£)=AF=2
ᑣP£)='=4
ᓽ஺
EᙠPᳫJ
4KLḄᳫ☢
஺☢3J
(OA=^>2,OP=3&>4
ᡠ
☢ABCᳫ☢ᡠᡂWAᙊJ
2KLḄUᑖNᙊW
ᦑW*7;Jr47r☢BBCᳫ☢ᡠᡂWPᙊJ
4KLᙊJ$NḄᙊW
ᦑW*N33rrTT☢PBA,PC4ᳫ☢ᡠᡂWBᙊJ
4KLᙊJ$஽ḄᙊW
ᦑW*N12344ᡠᨬ*WḄW*N.344ᦑ:ᫀ<—.316.᝞
ᙠᦪ
NOᙠ᜜ḄMᵨ{
0u
¡¢Yw£ᙢᔣ¥ᡈᔣ§¨©NOᓫ«
ᐳ¨©6¢
ᑣj“«Z-2Ḅ«¯”Ḅᭆ᳛._______I______.______■________■*______•______■_______•______a-----------1---------a-------------»-----------•-----------------6-5-4-3-2-10123456xூ16⚪:ᫀ௃ூ:ᫀ௃7764ூ᪆௃ூᑖ᪆௃ᳮ⚪¶᪀ᦪ¸¹º
ᑭᵨ᣸ᑡ½ᔠt¿⚪.ூx௃ᵫw>
|ÀÁ6¢¨©ᨬÂÃᙠ-2«¯
ᑣÄᯠ◤⌕ᔣ§¨©2¢ᔣ¥¨©4¢,Èᔣ§¨©N¢Éᔣ¥¨©N¢3ᑣP⚪wÊᓄ஻ÍOÎÏ᣸ÐḄÑ⚪
ᦑÒᙠ-2Ḅ᣸ÓÔ?=15ᡠᨵ¨©Ö×ḄØᦪ2-64,ᡠᨵÒᙠ-2Ḅᭆ᳛P=-15ᦑ:ᫀ:64Uஹ:⚪<Ú⚪ᐳ6Û⚪
ᐳ70ᑖ.:sᑏuᦻÎÞßஹàßáᡈâãä.

1217.ᙠYæᦪᑡç4,è3
4,஺2
%ᑖê{⊤ëN
Ô
?¿3ḄìNOᦪ
3ḄíîDOᦪᙠ{⊤ḄåNᑡ.ëNᑡëÔᑡë?ᑡëNᑡ323ëÔᑡ465ë?ᑡ9128পᑏu4
u
஺3,òᦪᑡç4èḄÁ⚗ôõ(2)|ᦪᑡç஻è÷ø஽=஺“+(-1)ú2û,ᦪᑡç"èḄý஻⚗þS“.ூ17~18⚪ᫀ௃ூᫀ௃(1)4=2,%=4,஽3=8,%=2"2+2,஻Ꮤᦪ2ফT,=,2__9,“᜻ᦪ22ூ"᪆௃ூᑖ᪆௃(1)᪷&'(ᦪᑡḄ+,-⊤/0ᦪ&Ḅᱯ23ᑮ4=2,%=4,%=8,56738⚗:;<(2)ᵫ(1)>2=2"+(-1)"஻@ᑭᵨᑖC7-@Dᨵ(-1)"◤GH"ᏔᦪI᜻ᦪ@ᯠKᢥ᯿'Nᦪᑡ7-.ூOP1Q"௃᪷&'(ᦪᑡḄ+,-⊤/0ᦪ&@3ᑮ4=2,%=4,%=8,ᓽᦪᑡS4TU✌⚗2,:(2Ḅ'(ᦪᑡ@ᦑ஺“=2X2"T=2".ூOP2Q"௃Ya=«„+(-1)"loga=2n+(-iriog2"=2"+(-l)nn2n2cwᏔᦪe@5“=(2122+…+2")+[-1+2-3+4----(«-I)+«]2"+'+--21-222c஻᜻ᦪe@S”=(2,+2?+...+2")+[-1+2-3+4---+(஻-1)஻]^—+--n^2"+'+--n-2^2n+'n51-2222~2

132m+42,஻Ꮤᦪ2noᡠq@(=1᜻ᦪI2218.rABCḄᑁtA,B,CḄuvᑖw஻@b,c,x>rABCḄ☢z(ga2-஻)sinC.(1){|}sinA=2sinB<3ஹ(2)QCOSC=஻@7cosA.2ூ1819⚪ᫀ௃ூᫀ௃(1){|"᪆<(2)—4ூ"᪆௃ூᑖ᪆௃(1)᪷&t☢z:;tᑁtឋ3ᵫ+ᳮḄvtᐵ22ᓽ{H.(2)ᵫ(1)⚪3cosC=}e(¥@^)@5673sinC=¥@ᵨ+ᳮ+ᳮvtᐵ7sinB,ᓽ7cosB,᪷&BḄᑨ@ᨬKᑭᵨcosA=-cos(B+C)-t:;7ᓽ.ூOP1Q"௃ᵫ⚪@ga/?sinC=(ga2-஻)sinC,sinCwO,ᡠ஺ᓃ=7/8,-ᵫ+ᳮ3sinAsin8=sin?A—2sin2B-22ᡠsinB(sinA+sinB)=sin2A-sin2B=(sinA+sinB)(sinA-sinB),sinA+sin5w0,ᡠsin3=sinA-sinB,ᓽsinA=2sin3.ூOP2Q"௃3ᵫ(1)⚪@sinAcosC=2sinBcosC=—sinB,¡sinB>0,2ᡠcost?=?£,ᑣ?vC<஺@ᦑsinC=^^,8sC+஻—ஹsin"+sin&sin2C=5sin"Vq3.£¤,lab2sinAsinB4sin2B46

14.cosB=/0ீ/2,ᑣᒹ¦8ீ¨@6¦A+8ீᒹ@ᦑᔠ⚪<82634ᡠcosB=%¯@8ᡠcosA=cos[7r(3+C)]=-cos(B+C)=sinBsinC-cosBcosCV14V75723V2------x---------------x—=--------.8484419.᝞³@ᙠµ☢¶A8CDE0@A¹D_L»☢ABC,AD//BE,AD=2BE-AB=BC.¼1½7{}»☢CDEJ•»☢AC஺<¼2½AB=6@AC=2,µ☢¶ABCQEḄ¶zÁ@7ÂÃCEI»☢ABEQᡠᡂtḄ.ூ19~20⚪ᫀ௃ூᫀ௃¼1½{|"᪆<ফÇ3ூ"᪆௃ூᑖ᪆௃¼1½஺UAC02@ÈÉ08,Ê஺//A£>,᪷&⚪30z,QB,ACÏÏᚖÂ@᪀ÒÓÔÂtᙶ᪗@×AD=2BE=2a,OB=c,OA=OC=bØÙ+2ᙶ᪗@7☢CDEஹ☢ACDḄÚᔣÜ@ᵨÓÔᔣÜᜳtḄᙶ᪗⊤Þᓽ{H.¼2½᪷&x>¶z@ᔠß┵Ḅ¶z:;7áA஺,BE,567☢ABEDḄÚᔣÜஹÂÃCEḄâᔣᔣÜ@ᵨÓÔᔣÜᜳtḄᙶ᪗⊤Þ7Ã☢tḄ.ூOP1Q"௃஺UAC02@ÈÉ0B,ÊOz//4½,ᵫ>}OBA.AC,YADL☢ABC,ᑣOz,☢ABC,O5,ACu☢A8C,ᡠOzJ,OB,OzlAC-no@0z,08,ACÏÏᚖÂ@ᦑ᪀Ò᝞å³ÞḄÓÔÂtᙶ᪗஺-æz,

15D8AD=2BE=2a,OB=c,OA=OC=b,ᑣ஺(0,—஺,2a),C(0,ç,0),E(c,O,a),ᡠè=(0,-2é2a),CE^(c,-h,a),_[m-CD=-2by+2az=0ê=(ë,y,z)U☢COEḄíÚᔣÜ@ᓽS______,×2=â@îijm-CE-cx-by+az=0m=(Q,a,b),I=(1,0,0)U☢ACDḄíÚᔣÜ@ᑣộ.[=0,ᡠ☢CDEJ•☢ACZXூOP2Q"௃ᵫAD_L☢ABC,AZ)u☢ABE஺@ᑣ☢ABE஺ó☢ABC,ᦑCᑮ☢ᨴBEDḄõö@ᓽrABC0ABoḄ÷@3+3-417/?YAB=BC=6@AC=2,ᑣ~7==-,ᦑsinB=-^-,2x,3xj333r9ᡠABoḄ÷/2=BC-sin3=*.3ABi☢ABC,ᑣa=2,ᦑa=i./1OVLJCt33ᵫ(1)>}A(0,-l,0),D(0,-l,2),C(0,l,0),E(,0,1),ᡠ=(0,0,2),þ=(Ç,1,1),_[l-AD=2k=0/(ÿ,
,)☢A8EZ)Ḅᔣᓽ_____l,=1,ᑣ[/-DE=yJ2m+n-k=07=(-1,72,0),

16=72,-1,1!,ᑣ|COSH|=-1^-=—,|/||CE|V3x23ᡠ012CE34☢ABE஺ᡠᡂ8Ḅ9:;<=.320.@AᵨᜧᦪEᩭG=HIJKLMNOPḄQᦪERᑭᵨTUᦪEᜐᳮXYHZ[\]^_`abᜧᦪEᦈdᑮf_`├hḄ^ᵯjOk1ᨴm5ᨴḄ├h᝞p⊤.ᨴrX12345├hyv4.95.86.88.310.2w!f_`

17ᵫ(1)y=0.2x2+5,z=24G-â=24G_5(0ã5)+2=244---=Jx5/å3/i(x)=24A/X--3f+24x+27-3(x-9)(x+l)zஹ----------4------(x>0)"3=*ᓱ+è22xy[x2xy/x஻(x)>0Ì09,஻(=0Ì:%=9,ᡠ0প=24G-—j(x>0)ᙠå=9ᜐîÌ᩽ᜧ;ïᨬᜧ;஻(ᨴð=஻ñ=72—27-9=36ᡠ0Æ9ᨴḄᨴᑭ⚜;ᨬᜧ.21.ᙠ4☢18ᙶ᪗ôõö÷øA(—2,0),5(2,0),øMúû12AM312Ḅ¯᳛ü3ý<-þøMḄÿ
C.4(1)CḄ(2)/(1,0),/:x=4x஺AM/M#ᔲ%ᙠ'ᦪ)*+ZMED=4NNED?1%ᙠ7Ḅ314%ᙠ56ᳮᵫ.ூ21~22⚪<ᫀ௃22ூ<ᫀ௃(1)±+2=1AB஺±243(2)%ᙠ;1=2,ᳮᵫEF᪆.ூF᪆௃(ᑖ᪆I஺)ᑭᵨL᳛NO,PᔠL᳛RS
T3ᑡᓽWMḄX
C,YZxH±2.YI(2)\N(4,஻)ஹAM
y=-(x+2),ὶbC,cᵨdeTᳮMᙶ᪗hicᵨ஻⊤ktanNMEDஹtan/VED,PᔠpqrsᑗuOᑨwtanNMEDtan/VEDḄᦪxᐵzᓽW+F.ூ{|1}F௃\ᑣ^^ᑣp^^pߟA஺12x+2x-24ᡠMḄX
C
+=1AXH±2.43ூ{|2}F௃n\N(4,஻)ᑣ4M
>=(x+2),

18n,ஹy=(x+2)6ὶbc+:᦮ᳮ+(஻2+27)X2+4஻2+4/-108=0,4஻254-2/n10818/2ᵫ⚪\2”ᦑ=-X->-----------------4+276n2+27+27tan&£>=,tanZNFD=-.X-19-«-3M2஻~2tanZNFD3ᡠ1-taM/VED*----7=tanZMFDᓽNMFD=24/FD,9஻21---9ᡠ%ᙠ;1=2,I.NMFD=2NNFD.22.ᦪ/(x)=e'+sinx—cosx,/(x)
f஺)Ḅ¥ᦪ.(1)¦6§ᐔB0©f'(x)>2ফ\g(x)=஻x)-2x-l,¦6g(x)ᨵA®ᨵ2¯°.±22-23⚪<ᫀ௃ூ<ᫀ௃(1)¦6²EF᪆(2)¦6²EF᪆ூ᪆௃ூᑖ᪆௃(1)³´(x)=e*+cosx+sinx,ᑭᵨ¥ᦪᑨw஻(x)Ḅᓫ¶ឋ¸¹ᐸᨬ{3ᓽW¦6;(2)ᵫ(1)W8(¼ᙠ±0,+஺)ᓫ¶⌴¾ᑭᵨ°%ᙠឋTᳮW¦6ᙠ¿¯ÀÁᨵ¯°²᪀⌼ᦪᓽW¦6g(x)ᙠ(-0,0)ᓫ¶⌴ÅÆᳮᑭᵨ°%ᙠឋTᳮW¦6ᙠ¿¯ÀÁᨵ¯°ᓽW+¦.ூ{|1}F௃ᵫ/r(x)=e'+cosx+sinx,\஻(x)=e'+cosx+sinÈᑣ஻(x)=e*—sinx+cosx,§x»0©\஻(x)=e*-x-l,q(x)=x-sinË"(x)=e*—1NO,q'(x)=1—cosxNO,pp(x)Ïq(x)ᙠ±0,+8)ᓫ¶⌴¾Ap(x)>p(0)=0,q(x)2q(O)=O,§xi()©er>x+l,x>sinx,ᑣ//(x)=ev-sinx+cosx2x+1-sinx+cosx=(x-sinx)+(l+cosx)>0,

19ᦪ஻(x)=ev+cosx+sinxᙠ(),+8)ᓫ¶⌴¾.•./z(x)>/z(O)=2,ᓽ§x2o©r(%)>2ூ{|2}F௃ᵫ+g(x)=e*+sinx-cosx-2x-l,জ§xNO©*/g'(x)=e*+cosx+sinx-2=/'(x)-2N0,g(X)ᙠ0,+ᔣᓫ¶⌴¾g(0)=_<0,g(7t)=6n-27t>0,•♦•ᵫ°%ᙠឋTᳮWg(X)ᙠ0,+஺)®ᨵ¯°ঝ§x<0©ஹÕ/x2-sinx-cosXzÖஹ/ஹ2(sinx-l)-\m(x)=------------------(x<0),ᑣml×(x)=-i_<0,ee:./"(x)ᙠ(70,0)ᓫ¶⌴Å/.zn(x)>m(0)=1,ev+cosx+sinx-2<0>r.g'(x)=e*+cosx+sinx-2<0,g(X)ᙠ(-e,0)ᓫ¶⌴Åg(0)=-l<0,g(—ᐔ)=e-"+27r>0,•♦•ᵫ°%ᙠឋTᳮWg(X)ᙠ(-8,0)®ᨵ¯°ØᡠÙg(X)ᨵA®ᨵ2¯°.