2023年吉林省吉林高考数学倒计时模拟卷含解析

《2023年吉林省吉林高考数学倒计时模拟卷含解析》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。

2023
ὃᦪᔁ⚗1.⚪ὃᐜḄஹὃṹᑏ!"ᩩ$ṹ%&'ᙠᩩ$ṹ)*ᑁ஺2.⚪-.ᢥ⌕1ᵨ3஺3..ᢥ᯿⚪56ᙠ⚪ᓱᔜ⚪9Ḅ⚪)*ᑁ:;<⚪)*=ᑏḄᫀ?ᦔAᙠ₝CDஹᔁE⚪?ᦔ஺4.:FGᐜHᵨI3J<%KLMNᵨO⁐QRḄSQ3TO஺5.Uᢝᓱ☢!XY⌕ᢚ[ஹY⌕\ẚஹ\^YHᵨ_ᦋaஹbcdஹeDᑐ஺gஹ⌱i⚪j⚪ᐳ12l⚪ml⚪5ᑖᐳ60ᑖ஺ᙠml⚪o<Ḅpq⌱⚗rsᨵg⚗uvᔠ⚪9⌕1Ḅ஺1.xyz=i(3-2z),ᑣz=()A.5B.75C.13D.V132.xy{ᦪ/(x)=Acos(2x+e)(0>O)ḄF|ᔣ~JqᓫLᑮḄF|ᐵ)'/(0)=1,O9ᨬl-{ᦪ.f(x)Ḅ᪆()A.f(x)=V2cos(2x+—)B./(x)=cos(2x+—)44C./(x)=y/2cos(2x--)D./(x)=cos(2x-—)44v4-J3.Gj)ᵫ.\=8-2|+/¡=3£ᡂḄ¥¦)*ᑁ(ᒹ¨©ª)ᑣ«Ḅ£u()x-2A.[-3,1]B.[-3,5]C.(-00,-3]U[5,+00)D.(-00,-3]஺+00)4.xy{ᦪ=/g3X+5,g(x)=ox-lnx,Vxe(0,e),¯°,஽e(0,e)³´N¶H/(x)=g(xja=l,2),ᑣ·ᦪ஺Ḅ£u()(16]¸1R11¹6"¸6PA.g0—B.g0/C.0,-U—0e4D.g0e4lee)\_e)Iej)Le)5.ºᙊY+y2=4᜜gM(4,gl)½ᙊḄ¾ᩩᑗᑣÀº¾ᑗḄÁÂÃu().A.4x-y-4=0B.4x+y-4=0C.4x+y+4=0D.4x-y+4=01*227r6.xyÄÅC:ÆgÆ=1(4>0)Ḅ~ᯖÁy=HÅÈA,3¾NAF,B=—,ᑣa43Ḅ☢É()A.272B.2GC.472D.4G

117,<=/(%)=«/-I)@AB/C“E2F=஺—1ᨵIEJ0ᑣLᦪ஻ḄPQSTCU—,0

22212.q6,Kᑖ¶T·ᙊ¸¹º+ᧅ=l(a>b>0)Ḅ½ஹ¿ᯖj0ÁÂ2Ḅ]t÷ᙊÄA03gj0kMl•%E=0,AF=2F\B,ᑣ·ᙊEḄvÇ᳛{()2.3.n3c
nA•BC•D•3434ÉஹÊË⚪¹Í⚪ᐳ4⚪0Ï⚪5ᑖ0ᐳ20ᑖ஺13.ÐS“{ÑÒᦪᑡÓ4ÔḄ}஻⚗x0<=§=-2,5=«+3«,ᑣq=.32|14.<=ᐵÄxḄ×ÑØ(Ṻ-ÚEÛQ-4)>0ḄJ{4,k4bᐳÜᨵ"h᦮ᦪ0ᑣÞ஻ᨬßLᦪaḄQ{.15.<=Z0b»2T[☢ᔣâ0Tᓫãᔣâ.@="=20"=3,kுB=00ᑣå+æḄPQST.7T16.çty=xcosxᙠᜐḄᑗtḄê᳛{.©ஹJë⚪¹ᐳ70ᑖ஺Jëìᑏ§ᦻïðñஹòñÁBᡈôõö÷஺17.(12ᑖ)<=®ᦪ_/(%)=ùE1|+|X—:4ᦈ.᪗0?20ᐗ(6D1:4Ḅ<ᑖᢥ1:4FG).JᨵᵬஹNOᔜQRSᙢᩭVᏉ✂ᏉXᵬஹIII7NᏉ456781:4Ḅᭆ᳛ᑖ[?\\Ꮙ451:4]^_6782:4Ḅᭆ᳛ᑖ[?\_OᏉ462345d6783:4.(1)XᵬஹNOᡠfḄᏉ.ᵨhi?jklmg(ᓫp3ᐗ)qJḄᑖsᑡ'ᦪvwxE(J);(2){├,%)|Ꮙ✂⚜F>ᜩᨵ300ᩭ&'Ꮙ,%]OᏉ.ᵨhiḄᦪvwx?⚜{├,%|Ꮙ✂>ᜩḄ⃩.19.(12ᑖ)ᦪ/(x)=ar-ln(x+l),g(x)=sinx,_.f(x)..0ឤᡂS.(1)qᦪ஺Ḅᔠ(2)aeM4ᑨ¡¢£'g(x)¢£Ḅ¤¥¦ᦪ§¨©.X.(&ὃᦪ3In2஺0.69,¬1.77)20.(12ᑖ)?¯°“±²☘´µ¶·´¸´”Ḅ¹ºᳮ¼i½᝱¿᛻ḄÁÂÃÄÅÆÇ0ᜓᡂS\¦¿᛻Á

3ÂᐶÊ:Ë.VÆÇᳮÌÍᨵᵱ½400᝕½200ÐᦻÌÍᨵᵱ½100᝕½300.Jᢥᵱஹ᝕ᵨᑖÒÓ᪵Õᳮ̽ÓÖ6ᢥᵱஹ᝕ᑖÒÓ᪵Õᦻ̽ÓÖ4Ëᡂ¿᛻ÁÂᐶÊ:Ë×Õ10ḄᐶÊ:ËÓ4&Øv᪥Ḅ¿ÁÚÄÛÜ.Ý1ÞXßàA?“⌱Ḅ4¦⌕qᨵO¦ᵱ½O¦᝕½ä_O¦ᵱ½åæᦻஹᳮ̽dᨵ”qßàA¹½Ḅᭆ᳛ÐÝ2ÞᵨX⊤éÓÖḄ4ᦻÌ᝕½ḄᦪqXḄᑖsᑡiᦪvwx.21.Ý12ᑖÞÝ1Þqêëy=fiêëy=«îᡂ¢ïḄ☢ñÐcos20Ý2Þᓄóqô:cos35°J1\sin20TT22.Ý10ᑖÞúÚAABC¶ýῪÿ
,NACB=],AC=2.EᑖAC,ABḄ£ᢚ,ᑮ᝞ᡠ!Ḅ"#┵A-BCDE.&I()*+☢+☢ABC.&n.
#┵c-ABEḄ012ᨬᜧ56,(+☢\CD7+☢A.BEᡠᡂḄ9:5.Êὃᫀ;ஹ⌱>⚪*@⚪ᐳ12C⚪DC⚪5ᑖᐳ60ᑖ஺ᙠDC⚪JKḄ"L⌱⚗Nᨵ;⚗PQᔠ⚪S⌕(Ḅ஺1.Cூ᪆௃ᐜᓄWXᦪz=i&3—2z,^(
ᨬ_(z*ᓽa.ூ௃b*z=z&3-2z=2+3z,Z=2-3Z

4z-z=2"+3~=13.ᦑ⌱*Cூg௃ὃjXᦪḄklPmẠ⚪.2.Aூ᪆௃ᐜ(K+o_Ḅpᦪb᪆rsᔠtḄuvឋx/(O)=1ᑮAx஺.ூ௃71=Acos(2x—?+ᐵ{|}uvᡠ~+e=Z(keZ),ᡠ~d/(x)=Acos2X——+(P(p=^+k7v,°ḄᨬC5P:"(0)=Acos/HᑣA=0ᡠ~/(x)=J^cos(2x+?).ூg௃@⚪⌕ὃj
pᦪḄtᣚឋ.+ot6◤xḄᦪx+oḄᐵ.3.Dூ᪆௃y4-JKx=ly-21+/7.V=3ᡂḄᓃ;⊤!ᑁḄᵪx(2,-஻Ḅ¡᳛ᯠ_sᔠx-2(baᡠ(.ூ௃y+/¥¦=<—,sᔠaA2%ᡈ/*

5.12-(-1),,kpA=U=lkpB=F~=_3,•kN1ᡈk£3,y+/**----Ḅ25(oo,3]^[1,+oo).x2ᦑ⌱D.ூg௃b²@⚪Ḅᐵ³ᨵ´L*;P᪷¶ᦪsᔠḄ·¸(b¹⚪ᓽº»¼½´Ḅ¡᳛¾¿P⌕9ÀK´x-2ᡠᡂḄ.ὃjÁᓄÂÃxÄឋsᔠḄÂÃÄ{mẠ⚪.4.Dூb᪆௃ᐜ(K/(ÃḄ5^ᑭᵨÇᦪÈÉpᦪg(x)ᙠ(O,e)ÎḄᓫÐឋsᔠpᦪ5ᵫ·Ñᨵ´L᪷(Òᦪᓽa.ூÓb௃dg(x)=";Õ,ᦑg'(x)="~,.aWO6,g'(x)<0,ᦑg(x)ᙠ(o,e)ÎᓫÐ⌴ܾ.a2g6g'(x)>0,ᦑg(x)ᙠ(O,e)ÎᓫÐ⌴Þ¾.6ßg'(x)=O,bx=*,ᦑg(%)ᙠ(o,BᓫÐ⌴Üᙠ(5,jÎᓫÐ⌴Þ.ág(*)=l+/஻a,g(e)=?-l,ä.xåæ{ç6g(x)åæ{9èé¾upᦪ/(x),.xe(O,e)6/(x)e^-,5^¾᪷¶⚪uVxe(O,e),ì,í2G(O,e)äèïðñò0=8(%)&=12)ᡂõ,N◤?g(e)25,ᓽa1+ö஺<÷,ø;125,4e

66-bae-,e4.Leᦑ⌱*D.ூg௃@⚪ὃjᑭᵨÇᦪẆûᵫ·Ñ᪷ḄLᦪ(ÒᦪḄ¹⚪üᑭᵨÇᦪẆûpᦪᓫÐឋ~pᦪ5Ḅ¹⚪Äýᔠþÿ⚪.5.Aூ᪆௃ᙊx2+y2=᜜,n,,ᙊḄᩩᑗᑣᑗḄ+--=0,ᦑ⌱A.6.Dூ᪆௃%&'CḄ)ᯖὡ,-Aὡ,8ᨴᵫ12ឋ45678Aὡ89:;<678%=ὡ|=ஹ|A|=4C4c2=Y+]—2Icos஺MNOḄPᓽC.ூR௃%&'CḄ)ᯖA,,-Aᱏ,8ὡᵫ12ឋ45678AFBF:;<678t2ᡠUSMF2=S.gBA6=2.%|M|[”ᑣ4cf+ᱏ᝞ᗔ`+abcde=2/3.ᦑhh=4஻=16,ᡠUkl,=:nhsinJ=•23ᦑ⌱sDூt௃u⚪v⌕ὃy&'Ḅzᓫ|}ឋ~ὃyᳮ88☢Ḅᙠὃy15Ḅᳮ;.7.Bூ᪆௃

71<.f(x)Ḅ⊤ÌJ<{ᦪFÍÎᔠFÍÏÐÆÑÂ÷᪷ḄᑖÓ1<஺Ḅ£ᓽG.ூÖ௃.:ØÙ|JO4,ᓽ,2222ax+a-1=--1ᓽFÍæᑗ-x+1᪷çA=0,9/-8a(a-2)=0,“=76(0éê)ᑣ஺Ḅ£u{—16}u(g,l0(2,+00),ᦑ⌱B.

8j⚪ὃí{ᦪḄîï⚪ὃí{ᦪÂÃḄðᓄòóôᦪ$Îᔠòóõr᫏⚪.8.Bூ᪆௃ᵫ4,÷ᑮÁx+Gy+஻(஻+1)=0Ḅøùôú4,÷rᑮûÁøùḄÆüᡠÏs◤1A”÷rᑮûÁøùḄᨬᜧᓽ஺ᑮ,ḄᙊᙊḄᙊᑮ4,B“ᑮḄᨬᜧḄᐵ!"#$஺%⚗Ḅ'("Ḅ)஻⚗ᓽ+,-ᩭ"/0Ḅ13.ூ6/௃22ᵫẑ:=<=஻•“•cosNA“Og,=—>.•./4஺?=120.@A?ḄC“ᑣ2222ᙠᙊD+y2=G_I4?ᑮX++=0ḄJ,KC,,ᑮLḄḄMNC,,ᑮ2+y2=eḄᙊ(0,0)ᑮX+Gy+஻(“+1)=0ḄᨬᜧOᙊᑮḄPᙊḄJQᙊXR(஻+1)|[஻(஻+])஻]2c11If11ḄOᔣ<2<.y=2ᔆ2V--n-+2n,=2c=c1J2Jan'+2/12(஻n+2)nD(11Yl”,11113+…+=1+<4஺2%43124J135)

9n+2jj212n+ln+2)44ᦑ⌱GBூY௃Z⚪ὃ]^ᔣ_ᦪ_aᑮḄᦪᑡ",cd<⍝+┯Ḅhᔠ⚪.

109.Cூ᪆௃ᐜMB.¯M8,MCAᑣ°±²ᦪ4Mூ௃ᵫ⚪Q8={x[(x+l)(x—3)W0,xeZ}={x[—l/2)^,2ᦑ⌱sCூ௃u⚪ὃyÒÏM|}ÍḄ⊤☢ᑨá|}ÍḄ8â:⚪ḄᐵÉ.11.Bூ᪆௃ITTTTT7TTFJTTTᵫ——WXW,4C(0——

11,nᐔᐔᐔᐔᐔᐔᵫ——WxW—,4C——0)——>0(y>0ᦑ⌱:B.ூ௃u⚪ὃy¼ûᦪḄᓫæឋḄüᵨὃy¼Ḅýþÿᳮ
,Ạ⚪.12.Cூ᪆௃᪷Ag=2⊤ᵫᳮᩩḄᵫᳮ᪀⌼“cᐵ!"#$᳛.ூ௃-.-AF=2F?B2&BFஹ=x,ᑣAF—2x2ᵫ)ᙊḄ+,-ᑮ=2஺-21,8ὡ=2஺3%-.■AF-AF=0,AF±AFX2t2ᙠ6AAὡ87ᨵ92a—2x2+93x2=92a—x:-;==…2஺-4a>=5,ᯠ=522a@ᙠRtZVIEK7ᨵ+(2c)23J᦮ᳮ-C-D

12ᦑ⌱C⚗.ூIJ௃L⚪ὃNOPQ")ᙊ#$᳛R")ᙊ#$᳛Ḅ3STᵨVQWXOPᐵ!᪀⌼aCᐵ!-ᑮ#$᳛.7᫏⚪.Zஹ\]⚪^L⚪ᐳ4`⚪`⚪5ᑖᐳ20ᑖ஺113.——2ூ᪆௃&bcᦪᑡf%gḄhcijklmᩩnbopᓄi%rᐵ!o"ᓽ.ூ௃&bcᦪᑡf%gḄhci4,Sy—a,+3q,஺t=2q,..q~=2,a=aq4—4a,=—2,a——.5t1ᦑuᫀi^-.2ூIJ௃L⚪ὃNbcᦪᑡW⚗ḄLwxyẠ⚪.14.-1ூ᪆௃{|஺<0,஺=0,஺>0=a<0,᪷ᙳbo-ᑮ஺+3=-(-a--)<-1=-4,yaa\a)bᡂḄᩩn-ᑮuᫀ.ூ௃lmᐵxḄbo(ar-/-4)(X-4)>0,44জaVO[x-(Q+-)](x-4)<0,ᐸ7஻+-V0,aa,4ᦑi(஺—4),9a:44ᵫa+—=-(-a----)<-1aa4DD-aZ--,ᓽ஺=-1b,

1344a+3Ḅᨬᜧi-4,DD஻+—=-4A7ᐳᨵᨬS᦮ᦪᦪ஻Ḅi-1aaঝ஺=0-4(x-4)>0,i(-8,4),᦮ᦪᨵ¤¥¦ᦑ஺=0§ᔠᩩn44ঞ0>0ªx-(a+—)«(x-4)>0,ᐸ70+—24,aa4Zᦑi(-8,4)U(a+—+00),᦮ᦪᨵ¤¥¦ᦑ஺>0§ᔠᩩna®¯ᡠ±a=-l.ᦑuᫀi^-1.ூIJ௃L⚪ὃN²boᙳbo³ᙠὃN´µḄy
>®ᔠrᵨ
.15.ª5,+oo)ூ᪆௃ᐜᵫ⚪³&ᔣwḄᙶ᪗¼ᔠ½☢ᔣwᦪw¿ḄxyÀbo-.ூ௃ᵫ2RᓫÂᔣw.3ᳫ=2,5Ã=3,&஺=(1,0),ᑣa=(2,M,6=(3,஻)ÇaÈ=0,ᑣmn=-6,Ë!|d+b=(5,,஻+")>Ë!I5+61=y)25+(m+n)2,Ç(,஻+஻).0,ᡠ,|&+b|..5,(DÓ=5,஻=-y/6ᡈm=-#,஻=A/6b)ᓽ|,+5«Ḅ×Rª5,+oo),ᦑuᫀi^15,+8).ூ௃L⚪ὃN²½☢ᔣwᦪw¿Ḅᙶ᪗xy³ᙠὃN´µØÙÚmÛḄᳮÜÝÞ½.IA1ß10.--------------26ூ᪆௃

14TT"àᦪḄáᦪᑭᵨáᦪḄOP³+ãx=§,ᓽ"ᑗå᳛.ூæ௃,/y=/(%)=xcosx,/r(x)=cosx-xsinx,ᓽç^=%85%ᙠé==ᜐḄᑗḄå᳛é=_1—ë326ᦑuᫀi^_L3ë26ூIJ௃L⚪ὃN²áᦪḄOP³+ஹáᦪḄxyQᑣ,ÀLìbàᦪḄáᦪẠ⚪.=ஹu⚪^ᐳ70ᑖ஺urᑏᦻïðñஹòñXóᡈôyõö஺17.(I)x<--,;(II)(-00÷.I22jI3÷ூ᪆௃ø⚪ᑖ᪆^(1)᪷ùIᑖúûQüᣵþØbo(2)᪷þØboḄឋ
(%)4-1|,⚪ᓄ-1122aឤᡂᓽ.⚪᪆:পᵫ/)ஹ“
,\'^22ᡈ*ᡈ1>42x-3>4iஹ7
*x<—>—2217ᡠ,-Ḅ/xxW—0.22(II)ᵫḄឋ
*/(%)>|«-1|,⌕3/(x)N2aឤᡂ4!|7'182a9:ឤᡂ;

159஻>():|஺'1|22஻
?@aW—.3ᡠ,AᦪaḄCDF7Gg.18.(1)H᪆40ᐗ(2)6000ᐗூ᪆௃(1)ᵬஹMNOᡠPḄᏉRSᵨUV0ᐗஹ20ᐗஹ40ᐗWXYZᵬஹMNOᡠPḄᏉRSᵨ[\ᐳᨵ9XYZᑖYZ`aᓽ(2)᪷c(1)defᙳD.ூh௃*(1)ᵫ⚪ij&lCD0,20,40,60,80,ᑣ1121Pn=60—x——|——X—=—2643411IPpJ=80q=x—=—.4624ᦑJḄᑖsᑡ:4020406080151P244n424ᡠ,ᦪuvwE(4)=0x(+20xx+40xV+60xx+80x(=40(ᐗ)(2)yz├|}~ᏉR✂ᜩḄ⃩⚜`*40x300x1=6000(ᐗ)2ூ௃ὃᦣḄᑖsᑡᐸvwḄf᫏⚪.19.(1){1}x(2)2,H᪆ூ᪆௃

16(1)⌕/(x)-0ឤᡂ⌕f(x)ḄᨬDᜧ¡ᡈ¡¢ᓽᡠ,⌕£¤f¥f(x)VᔲᨵᨬDx(2)/(x)¨©ªg(x)¨©Ḅ¬ᦪᓄ®f\x)=g(x)AᦪḄᦪ⚪ᯠ~᪀⌼²ᦪ0(x)=/(x)-g(x),³ᑭᵨµᦪ£¤²ᦪ¢Ḅᦪ.ூ௃(1)/(X)Ḅ·¸¹(-1,+8),/'(½=஺'——,X+11°96,0:/‘஺)<0,/஺)ᙠ3%€(0,+00)@ᓫÇ⌴É3xe(0,+oo):3
/(x)0:ᵫ/•'(½<0,
—ᵫ/'(x)>0,
x>L-l,ᡠ,.f(x)ᙠ1-1,,'1Ó@ᓫÇ⌴Éᙠ1,+gj@ᓫÇ⌴Õᓽᨵ7M(x)=/(Ù-lÓ=l-a+lna,ᵫ/(x)..Oឤᡂᡠ,1'a+lna.0ឤᡂ,mÝh(a)=l-«+lna(a>0),h\d)=-l+—=-,aaß01,“(a)<0,஻(a)<“(1)=0xàa=l:/?(a)=0,⌕31-a+lna.Oឤᡂᦑae{l}.(2)-⚪ᓄ®f(x)=g(x)A᪷ᦪ⚪9a=l:f(x)¨äªg(x)¨äᨵåæᨵ2¬ᳮᵫ᝞é*ᵫ/(x)=g(x),ᓽx-ln(x+l)-sinx=0,Ýe(x)=x-ln(x+l)—sinx,஺(0)=0,ᡠ,ì=0V0(x)=0Ḅ'᪷xe'(x)=l——-——cosx,x+11஺9-le(0)=0,ᓽe(x)=0ᙠ(-1,0)@ðA᪷x2°900,(x+1/ᑣ°(x)ᙠ(0,3)@ᓫÇ⌴⌴Õó᜛'õÓ=1''ö>0,᜛'(0)=-1<0,ᡠ,e(x)=0ᙠ(0,3)@ᨵ÷'A᪷ø,/d0,úÓåûü1-=cos᳝)\2/᳝)+1

17জk0<=,X஺l9'(m)"O,9(x)ᙠ(0,%ÓIᓫq⌴sl0(%)<°(஺)=0,0(v)=0ᙠ(0,/ÓIwx᪷z(ÿஹ<(ஹg2ঝkX஺0,(p(x)ᙠ(v0,3)Iᓫq⌴|9(Q)<஺ম=~TTn5+1n--2+12,ஹ0,2ᦑ°(x)=x-ln(l+%)—sinx=%—ln(l+x)—1+(1—sinJV)>0,ᡠ!0(x)=0ᙠ3,+8)Iwx᪷.hᔠ1஺2஺3஺ᦑ0(x)=0ᨵMx᪷ᓽ/(x)Pg(x)ᨵᨵ2.ூ
௃⚪ὃ]+,-ឤᡂ⚪ஹᦪP'Ḅᓄὃ]¡ᦪḄ¢ᵨ£K¤¥⚪.420.(1)'*(2)¦/᪆ூ᪆௃(1)ᢥᑖª«᪵«1^ᳮ®ᵱ°4±᝕°2±ᦻ®ᵱ°1±᝕°3±ᑭᵨµᐺᭆ¸"/ᓽ(2)ᵫ¹º»ᑖ¼"/ᓽூ௃(1)½O¾°¿ᦪO1000±LÀÁᑖᦻஹᳮ®ᢥᵱ᝕ᵨᑖª«᪵«110±ᑣ«1^ᳮ®ᵱ°4±᝕°2±,ᦻ®ᵱ°1±᝕°3±.ᡠ!ᙠ=C.C—40<4ᡠ!()<Â<)<(2)XḄÃ1O0,1,2,3,=஺)Äp(x><%,1p(x>T)='2,_3_p(x>=2)=Gi

18XḄᑖ¼ᑡOX0123£31P6210301.1316ErvX—Onx—F1x—F2nxF3x—=<.6210305ூY௃Z⚪ὃ]ᑖª«᪵ὃ]¹º»ᑖ¼ÆÇÈὃ]¢É"/ÃÊẠ⚪21.(1)-(2)V23ூ/᪆௃(1)"Ìy=x?Ìy=3ᡂḄÍ☢a✌ᐜ"#MÌḄÑᙶ᪗0ஹ1,ᯠÕ"Ö-DᙠØÙ
0ÚIḄÛaᑖ.(2)✌ᐜᑭᵨ>NÜÝ-ÆMÜÞḄßàÝ-áÉ#cos20°=m^i^j(cosl0"+sinl0°),cos35°=-^y-(cosl00+sin10)ᯠÕ᦮ãäᐭzூ6/௃/Gy=x2(1)ὶ-/%=0,x,=1,ᡠ!Ìy=fÌy=3ᡂḄÍ☢ay=yjx

19=1,sin20°)•J(cos100+sin10°)=^(1-sin20°)•(cos100+sin10)cos35°=cos(45-10J=cos450cos10°+sin45°sin10=(cos10+sin100)cos200_^/(l^sin^O^^coslO^sinlO0)••cos35^1-sin20o,-oslO஺+sinsin20஺ூ01௃3⚪ὃ678ᑖ:;<=Ḅ☢8@ABCឤEFᣚḄHᵨJKL᫏⚪.22.(I)NO᪆.(H)Q.3ூ᪆௃পSTU☢4C஺VWBC_LU☢4஺᪷Y☢☢ᚖ[Ḅᑨ77ᳮVᑮ_`*(II)a4஺bU☢BCOEcd┵f8ᨬᜧijklᙶ᪗opqrU☢ḄsᔣupqsᔣuḄᜳCVWwᫀ.ூ௃77পST*•.♦NAC8=—:.AC±BC2•••஺zᑖ{|AC,ABḄL0.-.DE//BC:.DE±AC

20:.DECD,DE1A.D,ç.•.Z)E_Lè☢A஺஺.•.3C_Lè☢AC஺çBCuè☢ABC/.è☢è☢ABC(II)%-ABE=V^-BCES.BCEOÛ•kA஺_Lè☢BCDEléê┵C-A.BEḄãa1ᨬᜧ!஺Oì!DC,DE,DAiOᙶ᪗íîïÙÜᙶ᪗D-xyzxᑣ3(1,2,0),E(O,1,0),4(0,0,1)@è☢AREḄ(ᔣ_Oð=(x,y,z),ñò_m-EA=0}n>=τ-n—T=—7=—=—õõ6x13è☢A.CDPè☢ABEᡠᡂÜḄöàOXூY௃Z⚪ὃ]^☢☢ᚖḄᑨÛ>☢ÜḄáÉᐵùÃú᪷ûãaḄᨬüÛᚖᐵQ!îýïÙÜᙶ᪗ᑭᵨïÙᔣ_(">☢Ü£K᫏⚪.