2021-2022学年湖南省常德市高一（下）期末数学试卷（附答案详解）

《2021-2022学年湖南省常德市高一（下）期末数学试卷（附答案详解）》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。

2021-2022
ᓭḕᦪᔁஹᓫ⌱⚪ᜧ⚪ᐳ8⚪ᐳ40.0ᑖ1.ᔠM={-2,-1,04}N={x\x>-1},ᑣMCN=
A.{-1,0,1}B.{0,1}C.{x|-1<%<1}D.02.a,^€/?+&஺+ᓃ=1,ᑣabḄᨬᜧ,-.A.1B.iC.ID./4223.0ᦪ2=->3-i
,ᐸ2i34ᦪᓫ5ᑣ0ᦪ|z|-.A.3B.2V2C.10D.V104.᝞7ᡠ9ᙠ;<=ABCD2>?=@A=3B?=2CA=41+“3,ᑣ4+஻=A.-B.--C.1335.F᧕HJ32Iᦻᓄ2ḄLM᝞73᧕HNᓶ7PQஹᚄஹSஹ◫ஹUஹVஹWஹᐟNᓶYᓶᵫ[᪷]^ᡂ⊤9᪷□]■■⊤9᪷▢]dNᓶ2efgᓶhgᓶ2□]ijk4Ḅᭆ᳛6.no☢kC[q=Ḅᙊ┵tk-uᙊ┵-uᙊ┵Ḅv];kwᑣxᙊ┵Ḅᑁᑗᳫ|}k

1A.4ᐔB.vC.nD.73o7.᪥kᙢᢝឋ>ஹᐶ᰿[Ḅ᪥¡¢Y5£d2⌱¤¥¡¢¦.§¨x᪥6000«Ḅ⌱¡¬®¯°±᝞7জ³ᵨᑖµ¶᪵Ḅ<¸d2¶f2%Ḅ¨ᡠ⌱¡¢®¯»¼᳛½¾᝞7ঝ.A.¶fḄ᪵ÀÁk120B.x᪥2¨ᐶ᰿¡¢»¼ḄÃᦪÄk1050C.ƶfḄ2¨¡¢»¼ḄÃᦪk36,ᑣa=70D.x᪥2⌱¤¡¢ḄÃᦪk15008.X],©ᑖÎ3<¢e"+x-2=0,mx+x-2=0Ḅ᪷ᑣ%1+%2=()A.1B.2C.V2D.V2+1×ஹØ⌱⚪(ᜧ⚪ᐳ4⚪ᐳ20.0ᑖ)9.ᑡÛ¸CÜḄ3()A.3%6/?,X2—2%+2<0B.x>23x>1Ḅᐙᑖáâ⌕ᩩåC.æᦪ/'(X)=10g2஺+1)-1Ḅéêk1D.Æy=f(x+l)Ḅîïðk[0,2],ᑣy=/(%)Ḅîïðk10.ᑡòó⚪2┯õḄ3()A.Æöå4,B÷øùúᑣ»ûPQ4B)=P(A)P(B)B.Æöå4B,Cggùú,þUPQ4BC)=PQ4)(B)P(C)C.4B,C,ᑣPQ4)+P(B)+P(C)=1D.4,BP(4)+P(B)=1,ᑣ4,82⚓ᐳ18⚓

211.!"#ᦪ/(%)=Asin(^a)x+R)(ᐸ(A>0,to>0,\(p\O\5TI\IxB.#ᦪ/বḄ34ᐵMNO,0)P12\I/C.#ᦪ/(x)ᙠRST*VWḄᨬᜧZD2HᧅD.\]y=1^y=/(x)(-kf(x)ឤᡂᑣᦪkḄµZ·__.¸ஹ¹º⚪(ᜧ⚪ᐳ6⚪ᐳ70.0ᑖ)17.(1)»¼3x3^x⋝*ᓅ+lgI-জ25ḄZ.(2)!"sina+cosa=G(0,TT),ÀtanaḄZ.

318.ÁÂÃÄÅÆÇÈḄÉÊrᱥÌÍÎÏГÑH”ᎷCᐭÌÕÖ×16ØÙÚ,ÛÜ!ÈᡂḄHC⚗ÛᑖDÞßRஹà₝Rஹᮣãäஹᜧ4✂ஹæç✂ஹèé᪍ë52ì✂íᐭÌᱥîᨵ150ïîð3500ᜮ(ò).óᙠÄÅÆḄÉÊrᱥÌ!ᡂDḕᑁ᜜ÕÖöÕḄÛḄᙢ.Døø¹ÕÖḄùúûüḄýþÿ

ᑖ✂ᦪ᪷ᦪᑴᡂ᝞"⚣᳛ᑖ%&'()⚣ᦪ⊤.,-ᑖᙠ70,90
Ḅ
ᨵ111.✂ᦪ⚣ᦪ10130335440645250t521(1)2⚣᳛ᑖ%&'()⚣ᦪᑖ%⊤3-4a,tḄ56(2)7⚣᳛ᑖ%&'(2ᑖḄ"8ᑖ9ᦪ7⚣ᦪᑖ%⊤2✂ᦪḄ80%ᑖ9ᦪ6(3):;ᑖ<=>90ᑖ?“ABCD”,ᑖ=>60ᑖ?“

4(2)pqrBF1DE"(3)s஺?t&ḄZv2&wDExy☢4BB1&ᡠᡂḄw☢{Ḅ|ᑗ5.20.ᙠ8~g4BCDAB=2,AA=60°,ABC=4BCD=9஺°,T&ACBD=a.(1)sa=15஺v2w4DḄ6(2)24BCO☢Ḅᨬᜧ5.21.,-ᦪf(x)=ax2+bx+c(a,b,c?ᦪ).(1)f(x)<0Ḅ?(1,2),20vf(x)20ឤᡂ2Ḅᨬ56(3)HD6/?,2%+2o,2ᦪAḄ56Ob(2)g(x)=\ex-2|'f(g(x))+¡-3k=0ᨵP<¢Ḅᦪ2ᦪkḄ5.

5£ᫀ)᪆1.ூ£ᫀ௃Bூ᪆௃r¨.-M={-2,-1,0,1}N={x\x>-1},:•MC\N={0,1}.ᦑ⌱rB.ᵫ¯Ḅ;°&±2ᓽ³.´⚪¶⌕ὃ¯Ḅ;°¸>¹Ạ⚪.2.ூ£ᫀ௃Bூ᪆௃r6abe/?Ka+b=1,+•••ab<(^)2=s¿Àsa=b=1ÂÃ.abḄᨬᜧ5>;.ᦑ⌱:B.ᑭᵨ¹´<ḄឋÉᓽ³Ê`.´⚪ὃ˹´<Ḅឋɸ>¹Ạ⚪.3.ூ£ᫀ௃Dூ᪆௃rÍz=-i-(3-i)=-1-3i,•••\z\=J(-1)2+(-3)2=710.ᦑ⌱rD.᪷,-ᩩÓÔᔠÖᦪḄ8ᑣKØÙÚÖᦪÛÜᓽ³2.´⚪¶⌕ὃÖᦪḄ8ᑣKØÙÚÖᦪÛܸ>¹Ạ⚪.4.ூ£ᫀ௃Aூ᪆௃r•.,ß=2|ß=|á•BE=BA+AE=-AB+-AC=-48+ãQ4B+AD')=--AB+-AD,33ஹ733ᓽBE=—6ç+gb,BE=2ç+஻êl6⚓ᐳ18⚓

6.•"+஻=£ᦑ⌱rA.ᑭᵨy☢ᔣ4ḄP{g)y8~gjᑣîᔣ4ïᵨ<Ë⊤ðᓽ³2ñ஻Ḅ57áÊ2+஻Ḅ5.´⚪ὃy☢ᔣ4ḄwឋKØy☢ᔣ4¹´;ᳮ¸>¹Ạ⚪.5.ூ£ᫀ௃Bூ᪆௃rᵫ(³-ᨵ஺᪷□wḄᨵNᓶ1᪷□wḄᨵPᓶ2᪷□wḄᨵPᓶ3᪷□wḄᨵNᓶö1᪷□wḄᑖY?aஹbஹc,2᪷□wḄᑖY?4B,C,3᪷□wḄ?3,7÷ᓶHøᓶNᐳᨵù=28úᐸCü□wý)?4Ḅᨵ(a,3),(b,3),(c,3),(AC),ᐳ6,ᦑᓶ□4Ḅᭆ᳛PZo14ᦑ⌱B.✌ᐜᑮ0᪷□Ḅᨵᓶ1᪷□Ḅᨵᓶ2᪷□Ḅᨵᓶ3᪷□Ḅᨵᓶ#$%&'()*ᦪ,-.ᩩ)Ḅ()ᦪ#ᑭᵨ2ᐺᭆ4Ḅᭆ᳛56789.'⚪<⌕ὃ?2ᐺᭆ4Ḅ@⚪ABᭆ᳛Ḅ7856ᓽ9DEFὃ⚪4.6.ூIᫀ௃DூL᪆௃LNO☢᝞RᡠTUᑁᑗᳫḄYZr,ᑣOD=OE=r,ᵫ⚪b94஺஺஺=d஺஺=e62ᙠRMOCDtanzOCD=ᡠmOD=CD-tanNOCn=pxr=Lᓽr=,2322ᡠmᑁᑗᳫtugᐔ/=?ᐔ6)3=zo5LOᦑ⌱D.

7A{%NO☢UᑁᑗᳫḄYZr,ᑣOD=OE=r,.஺CD.CD/|}9$%஺஺~}9$%ᑁᑗᳫtu.'⚪ὃ?ᙊ┵ᑁᑗᳫtuḄ78DE᫏⚪.7.ூIᫀ௃CூL᪆௃LE⌱⚗6000x2%=120ᓽḄ᪵'120,ᡠm⌱⚗AE⌱⚗86000x35%x50%=1050ᓽ᪥ᐶ᰿-bḄᦪ1050ᡠm⌱⚗BE⌱⚗Cᵫ⚪b120x40%xa%=36,La=75,ᡠm⌱⚗C┯E⌱⚗஺6000x(1-35%-40%)=1500ᓽ᪥⌱Ḅᦪ1500ᡠm⌱⚗஺ᦑ⌱C.᪷᪥*ᦪ᪵¡ᓽ9$%᪵'᪷᪥*ᦪ¢᪀¤7Rᑨ¦⌱⚗B,C,DḄ.'⚪<⌕ὃ?§¨᪵ᵨ᪵'©8*tª«ὃ?Ḅ78¬®&Ạ⚪.8.ூIᫀ௃BூL᪆௃Lᵫ⚪b9Xi®°ᦪy=e*ḄR±,²y=-x+2³´4Ḅµᙶ᪗ᙳ®°ᦪy=R±,²y=-x+2³´BḄµᙶ᪗¹y=ºḄR±,y="xR±ᐵE²y=x¼}²y=-x+2½ᐵE²y=¾.¼ᡠm¿4BḄ´À®²y=-x+2,y=xḄ³´ᵫÁÂ+ÁÂÄᓽ¿4BḄ´(1,1),ᡠmÅ=1,/+ᡭ=2,Ç8⚓ᐳ18⚓

8ᦑ⌱:B.ᵫ⚪b9,ÊᑖÌ®°ᦪy=ey=/nxḄR±,²y=-x+2³´Ḅµᙶ᪗,ᵫEy=☜ḄR±,y=ZnxR±ᐵE²y=x¼}²y=-%+2½ᐵE²y=x¼ᡠm³´Ḅ´À®²y=-x+2,y=%Ḅ³´$%³´ᙶ᪗#ᑭᵨ´ᙶ᪗569$%,+ÎḄÏ.'⚪<⌕ὃ?°ᦪд,Ñ᪷ḄᐵÒὃ?Ó°ᦪḄឋÕDE᫏⚪.9.ூIᫀ௃BCூL᪆௃LA¹——2x+2=(x—1)2+1>0,ᦑA┯B,ᵫx>29m×xNl,ᵫØ21Ù¬×x>2,ᦑBC,0f(K)=log(x+1)—1=0,2ᑣlog2(X+1)=1ᓽx+l=2,Lx=l,ᦑCD,•••¥=/(>+1)ḄÛÜÝ[0,2],ᓽOWxSl,ᓽISx+IS2,=/(x)ḄÛÜÝ[1,2],ᦑ஺┯.ᦑ⌱BC.ᵫÞÑßᑨ¦/-2x+2Ḅàá~}ᑨ¦4᪷ᐙᑖÙã⌕ᩩ)ḄÛÜᓽ9ᑨ¦B,$%°ᦪḄдᓽ9ᑨ¦C,᪷⚪b$%y=f(x+1)x+1Ḅå~}ᑮæ=ḄÛÜÝᨬèᑨ¦D.'⚪<⌕ὃ?é⚪êᎷᑨ¦,ìᵨὃ?íᓄ¬DE&Ạ⚪.10.ூIᫀ௃BCDூL᪆௃Lï()4,Bðñòeᑣ-.P(4B)=P(4)P(B),AóßÄô¡óõᢗ÷øùúB()4ÇøùúḄ´ᦪ᜻ᦪ()8ÇÂøùú´ᦪ᜻ᦪ()CøùúḄ´ᦪ᜻ᦪE®ᨵPQ4)=P(B)=P(C)=}PG4B)=P(BC)=P(4C)=%P(ABC)=0,9mü%()a,B,Còeýa,B,CÙñðòeᡠmPQ4BC)¥PQ4)P(B)P(C),Bóß┯Äô¡óõᢗ÷øùúþB()4ÇþùúḄ´ᦪ1,()BÇÂþùú´ᦪ2,()CÇþùú´ᦪ3,

9ᑣP(4)=P(B)=P(C)=-64B,CᑣPQ4)+P(B)+P(C)*1,C┯4ᢗ"#$%&%&Ḅ(ᦪ*᜻ᦪ8ᢗ"#-./0☢23ᑣP(4)=P(B)=±567(4)+8(8)=1,94,B:;<=஺┯.ᦑ⌱BCD.4⌱⚗4,BCD=ᑣ56P(4B)=P(A)P(B)BCDGHI┯.J⚪ὃMNCD=ஹஹ<=ᭆ᳛CᐵSTUVWẠ⚪.11.ூZᫀ௃ACூ]᪆௃]ᵫ`aGb#᦮=£b7=ᐔᦑA0g431243=^=2,A=2,ᑣ/(%)=2sin(2%+p),qr=st,f(%)vᨬxy,ᑣ2sizi(2X,+W)=—2,ᓽm+W=s+2kn,kWZ,v\(p\<7T,3=gp/(x)=2sin(2x+-),66q#=9t,஻,)=2sin(2x1+J)=2sinH0,ᦑB┯1Z1Z1ZOSqᑣ2x+ߟᑣ-24/(x)W2,ᦑC0gq#tlJ2x+£E,oy=1sy=/(%)(-%W)`aᡠᨵ(Ḅᙶ᪗*%ᑣ2X1+*+2¢+?=ᐔ]b/+%2=#ᦑ஺┯.ODᦑ⌱AC.ᐜᑭᵨ§ᦪ`a7,A,3,¨©ª«b§ᦪ]᪆¬ᯠ®ᑭᵨ¯(<°ឋ²0³´µ¶ᨬy«]b·¸.J⚪¹⌕ὃM´µ§ᦪ`aḄ»ᵨὃM¼ᓄ¾¿UVp᫏⚪.12.ூZᫀ௃ABDÁ10⚓ᐳ18⚓

10ூ]᪆௃]<4Ä*´ÅÆABC-aBiGᦑBC14415L/.ABC=90°,ᦑBC14B,5LABOAA=A,AB,AA௃uÈ1☢ABB—/XKyAᦑ8C_LÈ☢ABBIAÉZB௃uÈ☢4BB14,ᦑ80%ÉÊAB=AA=1,a2ᦑ0˶4BB1a,ᦑ4iB_L4BiÉBCn&B,BC,&BuÈ☢&BC,ᦑAB௃J•È☢&BC.ᡠÍ(4ᑮÈ☢&BCḄÏÐ*Ñ/=y.ᦑA0g

11ூ]᪆௃]•••ùú=(2,—2),ª=(3,0)OC=(m,3).5.BA=OA-OB=(-1,-2)BC=OC-OB=(m-3,3)-•••4B,C´(᪀ᡂ͵B*90஺Ḅµ´µ¶•••BA-BC=(1,-2)-(771—3,3)=3—m—6=0>]bzn=-3.ᦑZᫀ*-3.ᐜ«Hù?ùḄᙶ᪗ç·ᔠᔣᚖḄឋᓽ.⚪⌕ὃᔣᚖḄឋẠ⚪.15.ூᫀ௃2ூ᪆௃2asinA=b-cosC+c-cosB,•ᵫ"#$ᳮ2sin2A=sinB-cosC+sinC-cosB=sin(B+C)=sinA,vsinAH0,1•sinAA=2ᦑS“BC=^bcsinA=y.ᦑᫀ6£.2ᵫ"#$ᳮᓄ9:sinA=<=᪷?☢ABCᓽ.⚪⌕ὃ"#$ᳮDEFGḄ☢ABCẠ⚪.16.ூᫀ௃(—8,2LMூ᪆௃N⚪Oᓃ□ᘊSTUᓽᓃVWXY••/(%)=\]g(x)=+`xG(0,+8)bex>e-\ᑣg(2x)>h(x)ឤᡂklmk£ᗎ==o?(ex-e~x')2+2_2(ex-e~x)4-ex-e-x-ex-e~xqt=-sU”,᧕vy=e"-஺U”ᙠ(0,+8)zᓫ|⌴~ᑣt>0,ofc

12ᦑᫀ6(-oo,2V2].ᐜᦪ/'(x)g(x)Ḅ᪆C=⚪ᓄ6kW—e-T+ᙠ(0,+8)zឤᡂk0:=ex—ef,U⚪ᓄ6kSt+ᙠ(0,+8)zឤᡂkᵫ᧕:.⚪ὃᦪ¡Ḅ¢ᔠ¤ᵨὃ¦lCḄឤᡂk⚪ὃᓄ§¨Eᑖª«§¨ὃ¤¬®¯᫏⚪.17.ூᫀ௃(1)²C=3x3ᔵx3,x3,-(04+¶25)=31·U0100=3-2=1.(2)vsina+cosa=|জ•••sin2a+cos2a+2sinacosa=1+2sinacosa=—,2524•2sinacosa=---<0,25`a6(0,TT),••sina>0,cosa<0,•••(sina—cosa)2=1—2sinacosa=:.sina—cosa=1ᵫজঝ:sina=^,cosa=ᓽ=—1.ூ᪆௃(1)᪷?ᢣᦪ¤¬ឋDEhᦪḄ¤¬¾ᑣᓽᓄ9¿À(2)᪷?ÁFFᦪÂḄᐵÄÅᔠᩩÇÈk¡ᓽ.⚪ὃᢣᦪÉḄ¤¬ឋDEhᦪḄ¤¬¾ᑣÁFFᦪÂḄᐵį᫏⚪.18.ூᫀ௃(1)ᵫ⚪Ova=Ê஺I+°015ÀÀ°25+003)XI°=0.02,ËÌÍᦪ6m=20,ᡠDt=20—1—3—4—6—2—1=3À(2)ᵫ⚣᳛ᑖÒÓ:ÔÕÖḄ⚣᳛ាØ6(0.01+0.015)X10=0.25,ᡠDÚᑖḄÛÜᑖÝᦪ670À20x80%=16,Þßᑮᜧ16ஹ17ãᦪᑖäå45,50,ᑣæç✂éᦪḄ80%ᑖÝᦪå45+50_9522

13(3)¦êO”Ḅëìᨵ20x0.1=2Íîïᑖä64B,“ñòêO”Ḅëìᨵ20x0.2=4Íîïᑖä6a,b,c,d,ᑣóÇḄôᦪᨵABஹAa,Ab,Ac>Ad,Ba,Bb,BeஹBd,abac,ad,beஹtbd,cd,ᐳ15õ,óÇM“ñòêO”“¦êO”ḄëìាᔜUÍᨵAa.Ab.Ac,Ad.BaஹBb,BeஹBd,ᐳ8õ.ᦑP(M)=,ூ᪆௃(1)ᵫ⚣᳛ᑖÒÓ⚣ᦪᑖÒ⊤ø¬:À(2)ᑭᵨÛÜᑖÝᦪ80%ᑖÝᦪᭆûø¬:À(3)ᑡýóÇᡠᨵ᪵ÿᦪ
ᡠ᪵ᦪᑭᵨᐺᭆᓽ.⚪ὃ⚣᳛ᑖḄᵨ!"Ạ⚪.19.ூ%ᫀ௃((1)ᙠ+,-4BC-&B1Q./&ஹB>EḄ2☢45☢!&672☢85☢ABCᨵ:ᐳE,5☢4BC஻5☢AiBiG=>/ஹBiஹEḄ2☢85☢4BC?4!/EḄ@ᩩBCB5D!E&>ᑣᨵ/&ஹEஹEḄ2☢85☢4BCḄ4B5D!AB,/EGEG஻4B4BC?G,HIEE,BGᡠKLMN&EGB1ᓽE/OஹBiஹE+2+,-ABC-4181GḄ2☢᝞(2)QR:ᵫপV,EG//AB,XEEYCḄ.ᑣGE8cḄ.,ᙠZNBCGB1.ᡝECG.RtABBiGmRtACBF,ᑣ/BB1G=4CBF,=>“BF+.BGBi=.BBiG+NBGB[=90°,ᨵ8F1BQ>4EGC=]4BC=90°,^UᨵEG1BC,7BBi5☢4BC,EGu5☢ABC,ᨵEG1BB,X`r\BC=B,1BCu5☢BCC/ia14⚓ᐳ18⚓

14!cdEG_L5☢BCGBi7BFu5☢BCC/iᑣᨵBF_LEG,=EGClBiG=G,EG,B௃Gu5☢4ᐺ6eXdBF_L5☢/1g/7DEu5☢A^EGBj^,ᡠKBF1DE.ব=BCLAB,BC1BBABCyBB=B,AB,BBu5☢4`4,ᑣBCXXi4BḄ.H,HEH,DH,᝞=EE4cḄ.ᓽᨵEH஻BC,ᑣEH_L5☢L6j!cdNEOHEB0E85☢48kOᡠᡂḄmᙠZN488⍗1.஺E1Ḅ.,ᓽᨵCH=A4=2,XEH=2BC=1,ᙠRtADEH.tanEDH==:,2DH2ᡠKB஺E85☢ABB14ᡠᡂḄB☢mḄZᑗrEsூ᪆௃u1
ᑭᵨ☢☢5DḄឋwGx2☢85☢ZBCḄ4BᓽG%.2
ᑭᵨB☢ᚖḄᑨ{QRBF5☢&B1E,|ᑭᵨB☢ᚖḄឋwᓽ}ᳮG%.বi48Ḅ.“QREH_1☢48&O,|ᙠRtOEH.G%.⚪ὃBBᚖḄQRB☢mḄ.᫏⚪.20.ூ%ᫀ௃((1)6a=15஺ᙠA4BD.AB=2,/.ABD=75°,Z.ADB=45°,ABAD2sin750_2(sin45°cos300+cos450sin30஺)ᵫZ{ᳮ•,dAC==V5+i.sin450sin75°sin45°sin45°(2)ᙠ480.^ABD=90°-a,Z,ADB=180°-60°-(90°-a)=a+30°,BD60஺=^^=ᔙV3ᵫZ{ᳮ5su30஺+'ᙠRfBCD.c=BDcosa=-^,=BDsina=BCD3sinacosa_3sinacosa>S^BCO=-BD-CD=2sin2(a+3஺஺)23in2a+cos%+*f

15_6tana_6<6_V3-3ta/a+l+2¢anaߟ3tana+£+26@l._!_^-2M23tana+27tana6¤¥6tana=¦§¨ᡂ©ᦑ4BCD☢«ḄᨬᜧrEx.32ூ᪆௃(1)ᙠAABD.IᑭᵨZ{ᳮd4஺Ḅ®¯(2)ᑭᵨZ{ᳮdBC,°XdBCஹCD,ᑭᵨ+mNḄ☢«:±ஹᓄᑗK
"³§±dBCD☢«Ḅᨬᜧr.⚪ὃZ{ᳮᙠ+mN.ḄᵨK
+mឤ§µᣚḄᵨ.᫏⚪.21.ூ%ᫀ௃((1)•/(%)<0Ḅ·E(1,2),a>0,¤1,2c¸a/+ᦑ+c=0Ḅ¹º᪷ᵫ᪷8¼ᦪ½Ḅᐵ¼d—2=3,£=2,ᑣb=-3a,c=2a.aaᦑ³§±ex?+bx+a<0,§¿E2a2-3ax+a<0,BPa(2x2—3x+1)=a(2x—l)(x-l)<0,ᓽ(2x-1)(À-1)<0,d(|0f(x)20ឤᡂ©ᦑda>0,b>0,b2—4ac<0,Æ4QC>b2,ᓽc>0,ᡠK§ÇÈ=1(6¤¥6a=c§¨ᡂ©)(3)Éx=1,ᑣ40ឤᡂ©.ᡠKQ>0¤A=(b—2/—4a(c-2)=(a+c—2)2—4a(c-2)=(a-c4-2)2<0,ᡠKc=a+2,>2a4-6=2,=>ab=Tx2abWg(W^)2=56¤¥6a==1§¨ᡂ©>c=|,(ᡈab=a(2—2d)=2a(1—a)=-2(a—1)24-1,ÏQ2x2—2x+4-/(%)=2x2—2x+4-(1x2+%+1)=|x2—3x+1=|(%—l)2>0ᡂ©.ᦑaḄᨬᜧrEÐூ᪆௃(1)᪷Ñ@ᐗÓÔ³§±Ḅ8@ᐗÓÔ¸Ḅ᪷ǽḄᐵ¼ᓽ.(2)᪷ÑÓÔÕᦪḄឋwda>0,b>0,b2-4ac<0,°X᪷Ñ"³§±ᓽa16⚓ᐳ18⚓

16.(3)ix=1da+b+c=4,᪷ÑᑨÙ±Ú!0dc=a+2,°Xda,c,bḄᐵ¼᪷Ñ"³§±ᓽ.⚪Û⌕ὃ@ᐗÓÔ³§±ḄK
³§±ឤᡂ©Ý⚪᪷Ñ@ᐗÓÔ³§±8¸Ḅᐵ¼K
"³§±°DÞᓄcß⚪Ḅᐵàc.᫏⚪.11222.ூ%ᫀ௃((1)/(2)@á2'20ᓽ2â+₢-22k-2x,kwi+Xᖪ@ᢈ,Ét€ê2],ì?«)=ï@2£+1,•••F(t)max=F(2)=1,fc<1ᓽ஽Ḅirõc(@8,1].(2)ᵫ"-2|)+kù-3)=஺d*2|+ú-(2+3k)=0,\C3Iᓃ5ᓽ|☜-2\2-(2+3fc)|ex-2|+(1+2k)=0,S.\ex-2|#0,t=\ex-2|,ᑣᓄ£2-(2+3k)t+(1+2k)=0(t*0),/(|-2|)+k(-^--3)=0ᨵ!"#Ḅ%ᦪ'(le—Gᡠ*+,(2+3k)t4-(1+2k)=0(t*0)ᨵ.!᪷*(00Vh<2Vᡈ஺<^<2,6=2.8@(£)=:—(2+3k)t+(1+2k),<(0)=1+2k>0ᑣ[஺(஺)=1+2k>0ᡈ|?(2)=-4/c+1=0,'@ᡈk=AB"(2)=-D+1<(T>c,2+3kr,ᗓHK>4-JK4,IuV---

17(2)Zpfᣚ|∑-2/ߟ(2+3k)\ex-2|+(1+2k)=0,ᑭᵨ᦮uᣚᐗt=|ex-2|,wᔠhijᦪḄ%᪷ᑖyᓽnk'.z⚪|⌕ὃjᦪḄ᪷Ḅᐵ(ὃᦪwᔠḄᦪ(᫏⚪.18⚓(ᐳ18⚓