2021-2022学年四川省巴中市高一（下）期末数学试卷（文科）（附答案详解）

《2021-2022学年四川省巴中市高一（下）期末数学试卷（文科）（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
ḕᦪᔁᦻஹᓫ⌱⚪ᜧ⚪ᐳ12⚪ᐳ60.0ᑖ1.ᔠ4={x|-21),ᑣ!n8=()A.(1,3)B.(-2,3)C.[1,3)D.[1,3]2.sin210஺Ḅ$%)A.-(B.C.1D.)22223.*+,4(-2,0),B0,3
Ḅ-./0%A.3%—2y—6=0B.3%+2y-6=0C.3%—2y+6=0D.3%+2y+6=04.1ᦪᑡa34Ḅi+i=%=2,562023=
n±-anA.—1B.1C.2D.15.1b2babaC.b2ᦪbḄ$%A.4ᡈ4B.-4C.4D.-57.@A⏚CD

1{.®¯v¥°%13.5´¨¥Ḇ%1.5´ᑣ
¨¥ᑮ¶ᑖḄᖃḄ%´.()
⌲᧡ᑖ஺.330230᧡ᜧ30060⁤27090ᜧᨣ240120ᜧᨣ2%.50☄180!☄ᜐᨣᑖ#
⌲ᜧA.24B.60C.40D.31.510.1AABC<À%1Ḅ8ÀÁÂÃG<ÀBCḄ,M%.Æ4GÇÈÉ,ᑣÊ.ËḄÌ$Î<()A.[0,ÐB.[0ÑC.[-^,0]D.[ÔÕ11.aᦪ/(x)<×ØᙠRᏔaᦪÜᙠ[0,+8)ᓫß⌴á1஺=3°\b=0.13,c=log0.1,ᑣ()3A./(a)>/(b)>/(c)B./(b)>/(c)>/(a)C./(c)>/(a)>f(b)D./(c)>f(b)>/(a)12.®¯ÂaḄ⚔,%ᙶ᪗î,{ÀïxðḄñòóðôᔠõÀÇᨵ+,÷1,a),B(2,b),Ücos2a=Iᑣ|4B|=()AûB.(C.üD.J5556þஹÿ⚪(ᜧ⚪ᐳ4⚪ᐳ20.0ᑖ)13.2an,30஺ḄᡧḄcm.%+y<4x-y<2,ᑣz=3%+yḄᨬᜧ(1y<3)2⚓ᐳ14⚓

215.,-.ᦪ0.ᦪg(x)=/(x)-aាᨵ789:Ḅ;<ᑣ(eIJ.)x£uBᦪaḄC(EF.16.ᙠI4BC4ஹBஹCᡠNḄOᑖPaஹbஹc,ᐸ᜜SᙊḄR=2,0IABCḄ☢XS=V2>ᑣab+&cḄᨬ(.7ஹ_`⚪(ᜧ⚪ᐳ6⚪ᐳ70.0ᑖ)17.,-.ᦪ/'(x)=/+ax-2,f(x)>0Ḅ_dex|x<—1ᡈx>bi.(1)jBᦪabḄ(k(2)lxe(0,+8)nj.ᦪg(x)=Ḅᨬ(.18.,-ᦪᑡenipn⚗r5=n2+n.(1)jᦪᑡeaiḄs⚗tukn(2)vb=/wjxyᦪᑡe%iḄpn⚗rz0,a)>0,0<@5=b-28ᩩ⌱w8⊡ᐙᙠ☢Ḅ3nS4⚪_`.,-ᦪᑡeiḄp⚗rS,ᦪᑡe%iF⚗¡ᦪᑡ0S3=%=9,%=na149(1)jᦪᑡea“ireiḄs⚗tu;(2)ld=ab,jᦪᑡe%iḄp¥⚗rᑏ.nn21.ᙠIABCஹ4ஹBஹCᡠNḄOᑖPaஹbஹc,,-2bcosA=acosB,0tanC=-3V3.(1)jBḄᜧ;(2)l<஺ᙠ4CO©ª4c=2AD,S.AB=3,BD=«jBCḄ.

322.,-.ᦪ/(x)=V^sin2x-2cos2%+1,(1)jf(x)ᓫ®⌴°y(2)Fᔲ²ᙠBᦪm©ªN³XieR,³%2eR´e?xi+e-2z+m(e*i+6-·)+82/(>2)ᡂ¹.l²ᙠjḄC(Ekl9²ᙠº»ᳮᵫ.)4⚓ᐳ14⚓

4`ᫀr_᪆1.ூ`ᫀ௃cூ_᪆௃_y•,A=%]—2cxe3,B=x\x>1],AC\B=[1,3).ᦑ⌱yC.᪷Ã,-ᩩÄᔠÆdḄÇÈᓽÊj_.⚪Ë⌕ὃÎÆdzᐸÏÐÑÒÓẠ⚪.2.ூ`ᫀ௃Cூ_᪆௃_ysÕ210°=sin(180°+30°)=-sin30°=ᦑ⌱yC.ᵫ,-Äᔠ7.ᦪḄÖ×tuᓄÙj(.⚪ὃÎ7.ᦪḄᓄÙj(ὃÎÖ×tuḄÚᵨFÓẠ⚪.3.ூ`ᫀ௃Cூ_᪆௃_y•.ÜÝÞß<4(-2,0),B(0,3),à28<ាFÜÝrᙶ᪗ãḄÆ<,äß<4(w2,0),8(0,3)ḄÜÝåæç+9=1,ᓽ3x-2y+6=0,ᦑ⌱yC.ᵫ⚪³ᑭᵨÜÝḄéêuåæᓄÙjëÄì.⚪Ë⌕ὃÎÜÝḄéêuåæÑÒÓẠ⚪.4.ூ`ᫀ௃D111111ூ_᪆௃_yᵫ⚪³a=2,a=—=—=-1,a=—=4ᨵ=-,a=—r234a=2=%,……,ᡠíaFí4ᕜïḄᕜïᦪᑡnᡠí஺2023=a4x505+3==]•ᦑ⌱yD.sßᓽ+1=2z%=2ðÐñ(12,஺3,a,……"òwóôõeᓽiḄᕜïᓽÊj_.4

5⚪ὃÎᦪᑡḄᕜïឋὃÎ÷øùúûᳮrÏÐj_ḄüýÑÒ᫏⚪.5.ூ`ᫀ௃Bூ_᪆௃_yCa=-1,b=-2,1>-1,A┯.(2>>(—1)2,C┯.ln2>Ini,஺┯.᧕2>0,ᑣ⁐+q2=2,2=Rᓽa=b!"#$%b2,B/0.abᦑ⌱3B."a=—Lb=-2674ஹCஹ஺)ᡂ;ᵫ=>)#?67B/0ᓽ@.>⚪B⌕ὃE=>)#?FG=Ạ⚪.6.ூKᫀ௃BூN᪆௃N3P-Z,a,b,c,-8S#Tᦪᑡb2=(-2)X(—8)=16,'•)*2,b,-8ᙳYᦪᑡZḄ᜻ᦪ⚗:.b<0,:.b=—4.ᦑ⌱3B.ᵫ⚪^@_ᙽ=(-2)x(-8)=16,ᙠcᔠ•••-2,b,-8ᙳYᦪᑡZḄ᜻ᦪ⚗ᓽ@fgbh.>⚪ὃE#TᦪᑡḄi⚗j?ᱯlm^#TᦪᑡZᡠᨵḄ᜻ᦪ⚗pqrᦪFG=Ạ⚪.7.ூKᫀ௃CூN᪆௃N3ᵫ@PH=-lg(2.5x10-2)=-(lg2.5+lgl0-2)=-(1-2lg2-2)=1+2lg2/1.6020.ᦑ⌱3C.ᵫw_cᔠxᦪḄyzឋ|ᓽ@}~fN.>⚪B⌕ὃExᦪḄyzឋ|ᙠ▭⚪ZḄpᵨFG=Ạ⚪.6⚓ᐳ14⚓

68.ூKᫀ௃DூN᪆௃N3y=COS-2%)=cos(2x0=cos[2(x-ᒘᡠᦪy=cos2xḄᔣᔁᓫ@ᑮy=cos/-2Ḅ.ᦑ⌱3D.ᵫ¡¢j?@y=cos[2(x-^)],¥᪷§ᦪ“©ª«”ḄᑣN.>⚪ὃE®ᦪḄ¯ᣚ±²³´¡¢j?ᳮNᦪ“©ª«”ḄᑣSN⚪Ḅᐵ·ὃE¸¹ºᳮ»¼½yz»¼FG=Ạ⚪.9.ூKᫀ௃DூN᪆௃N3•¿ÀÁ⁚ÃḄÄ$ůᓄÇ¿ÈÉÊËᑮÌËÄ$Å⌲ίÏ.•ÉÊËÄᨣÅᑮÌËÄ$ÅḄᔜᦪ§ÒÓ᣸ᡂᑡ᪀ᡂ#Öᦪᑡ×&J,ᐸZḄ=13.5,a=1.5Ü13ᦑᦪᑡḄjÖd=#?=Þß=-1,ÈᳮÉÌËᑮÊËḄÄᨣÅÒÓ᣸ᡂᑡ᪀ᡂ⌴á#Öᦪᑡ×ẑã,ᐸZÊËÄ$Åä=1.5,jÖ1,ᦑåᑖÄçÅè=ä+6=7.5,ᦑéZÌËᑮåᑖḄÄêÅḄ½ëx7=31.5(ì).ᦑ⌱3D.᪷§íîᩩðᑖÁñ!òóô@ÊËÄêÅ✌⚗ÌËÄᖃÅ13⚗Ḅ#Öᦪᑡ×÷ãÉÌËᑮÊËḄÄêÅ᪀ᡂ⌴á#Öᦪᑡ×bãfgjÖᓽ@ᑡ?øzùK.>⚪ὃE#ÖᦪᑡḄឋ|ḄpᵨὃE▭⚪úᓄᦪû⚪Ḅ»¼FGZ᫏⚪.io.ூKᫀ௃cூN᪆௃N3ýþABC1ḄGBCḄM4GᦑAG1BG,4G=30

7᪷./Ḅឋ12ᦪ45Ḅ6789•:;ᓄ:2,ᑣ>⚪ᓽABC.D⚪ὃFᦪ45Ḅ672GH7IJὃFK/Ḅឋ1LM᫏⚪.11.ூPᫀ௃CூB᪆௃B,᪷.⚪TᦪUX)67ᙠRᏔTᦪᑣ/(c)=/(log30.1)=/(log310)aᵫ0,3<0.1°=1<301=XV3<2/(a)>f(b),ᦑ⌱,C.᪷.⚪ᵫᏔTᦪḄឋ1As/(c)=/(log3().l)=/(log310)tuaஹbஹcḄᜧx,yᔠTᦪḄᓫmឋᑖ᪆AsPᫀ.D⚪ὃFTᦪ᜻Ꮤឋ2ᓫmឋḄឋ1}~ᵨ}ᢣᦪஹᦪḄᜧxtuLMẠ⚪.12.ூPᫀ௃AூB᪆௃B,ᵫ⚪aᡈ▲Ḅ,ᵫcos2a=|=2cos2a-1,cosacosaᡠ|48|=ᦑ⌱,A.ᵫ4B9Ḅᙶ᪗Aᑨaᡈ▲Ḅᓽcosa>0,ᵫscosaḄᯠ᪷.TᦪḄ67sB.D⚪ὃFTᦪḄ¡TᦪḄ67B⚪Ḅᐵ£ὃF¤¥¦ᳮ¨©2ª«¨©LMẠ⚪.13.ூPᫀ௃WூB᪆௃B,ᙊ®ᡠḄ¯30஺ᓽW®±²³2cm,O®=|a|"=mx2=g(cm).o5ᦑPᫀ:Pᐜ8ᙊ¯±ᓄᡂ¼ᑴᯠ¾¿ᑭᵨ®Á=|a|"ÂÃBᓽA.8⚓ᐳ14⚓

8D⚪ὃFKᡧḄ®Ç«LMẠ⚪.14.ூPᫀ௃10ூB᪆௃B,ÈÉÊË~ḄÌ☢ÎÏ᝞Ñ,Òz=3x+y,sy=-3x+z,ÌÓ¾y=-3x+z,ᵫÑAÔ¾y=-3x+zÕÖ4J[x-y=^Bs×31)¾y--3x+zḄØÙᨬᜧÛJzᨬᜧz—max3x3+1=10.ᑣz=3x+yḄᨬᜧ10.ᦑPᫀ,10.ÈÉÊË~ḄÌ☢ÎÏᑭᵨឋÜᑜḄÞᓽAsᑮyà.D⚪á⌕ὃFឋÜᑜḄ~ᵨᑭᵨᦪyᔠBCD⚪Ḅᐵ£.15.ூPᫀ௃(1,2]ூB᪆௃B,ᵫg(x)=0s/(x)=a,ᓽTᦪg(x)Ḅã¾y=aäTᦪy=Ñåᙶ᪗ÔXW0Jf(x)=e+loTᦪTᦪḄÏ(1,2],Ô0cxs1Jf(x)=-bixæTᦪÔXT0Jf(x)—+8,/(1)=0,ÔX>1J/(X)=oTᦪÔXT+8J/(x)T+8,ᙠᙶ᪗Ì☢ᑁÈÉTᦪy=/(x)ḄÑ᝞ÑèéÑÔl

9ÈÉTᦪy=f(x)ḄÑðTᦪg(x)Ḅã;ᓄ¾y=aäTᦪy=/(ñ)Ñå>⚪BC.D⚪ὃFTᦪḄãäòó᪷ḄᐵôὃFᦪyᔠõöḄ~ᵨL᫏⚪.16.ூPᫀ௃8ூB᪆௃B,ᵫ/6ᳮᾓ=2x2=4,ᡠsù஺=úûABCḄ☢5S=V2=\absinC=\ab.ᡠabc=8A/2,ᡠab+V2c>2y/ab-V2c=2q89•:=8ÔþÔab=Jìÿᡠab+&cḄᨬ8.ᦑᫀ8.ᔠᳮ☢!"#abc=8%&ᑭᵨ)*+,!#-.*⚪ὃ0-1234ᳮ☢!)*+,!5-⚪Ḅᐵ7,ὃ09:;ᳮ<=>?@<=ABC᫏⚪.17.ூᫀ௃-(1),ᐵBxḄ+,!L2+ax-2>0Ḅ-OPx|xb]---1.b5WXYZ/+ax-2=0Ḅ\]᪷-#P_`1—1xb=-23=2Aa=—1,b=2.(2)ᵫ⚪efg(x)=^y^=x+|-l,•••xe(0,+oo),:.g(%)=%+-1N2Jxq-1=2^2^-1pqrpsᓽx=ᡈsu,vᡂx.ᦑyᦪg(x)Ḅᨬ2{-1.ூ-᪆௃(1);}~S1,b5WXYZ/+ax-2=0Ḅ\]᪷ᵫᑭᵨᳮ<~a,b.(2)ᵫ9஺)=v=+—1,%€(0,+8),ᑭᵨ)*+,!<~yᦪg(x)Ḅᨬ.*⚪ὃ0Sᐗ+,!ឋஹᳮஹ)*+,!,)Ạf,ὃ0?@-<=10⚓ᐳ14⚓

105)Ạ⚪.18.ூᫀ௃-(1)•,ᦪᑡP%n⚗>S=n2+n,n••pri=1s=2,pn>2sa=n2+n—(n—I)2—(n—1)=2nn•ᦪᑡaḄ⚗!a=2nnn(2)ᵫ(1)fpᦪᑡPḄ⚗!a=2n,n•••Q+i—an=2,,•4=**_)Nanan+lTT=1rl1,11.,11n-X[---------------1-----------------1--------1-------------------]n2kaaaa▲]223n1,11ஹ1/11ஹ11J——X(-------------)——X(---------------)=---------------<-,2'a[ᵫi+i2ஹ22n+244n+44fூ-᪆௃(1)?ᵨḄi=Sn-SS(¡¢1)!-£e71=1,(2)?ᵨ¤⚗¥-,¦§¨©.*⚪ὃ0ª?ᵨn⚗>!-⚗¦§¥-ᨵᐵḄᦪᑡḄn⚗>ABC᫏⚪.19.ூᫀ௃-পᵫyᦪf(x)®"#==2,1=¯+°.7=2ᐔvco>0,"#3==1,/(%)=2sin(x+>),²,"(%)®´µW-2),.•2sin(r+0)=-2,ᓽ5·,+@)=-1,(P="+2/CTT,k£Z,-#0=-4~2kn,kEZ,623²0<(p<^,•,■=1ᦑyᦪ-᪆!/(X)=2sin(_x+(2)ᵫপff(x)=2s¹(+)♦••xe[0,º,ᑣx++J²••/(x)Ḅ¼[¾,2].-0,ᦑ¿mVaᓽmeÀÁ.ூ-᪆௃(1)᪷Âyᦪ®"#4ᕜÄÅÆ#3,᪷®´(7,-2)µO#wḄ"#f(x);(2)᪷ÂyᦪḄ¼Çឋ#mÉ.

11*⚪Ê⌕ὃ0yᦪḄ®>ឋ᪷®~yᦪḄ-᪆!5-Ì*⚪Ḅᐵ7.20.ூᫀ௃-⌱জ.(1)ÏᦪᑡP%ḄÐq(q>0),1•'logft-1=log/J,#×'=3,ᑣq=3.3n+13n°nØfᦪᑡPÙ,ÚᦪᑡÏ,ÚᦪᑡPÙḄÚd#=3Ýa=Þ=93a2=3(%+d)=9lb=a$3=8á=9414(9q=3+12d-#%=A=1,d=2,ᦑᦪᑡPa>P%Ḅ⚗!ᑖãᵫ=2n-l,b=3"T`nn⌱ঝ.•••ᦪᑡPÙ,ÚᦪᑡÏᦪᑡPÙḄÚᦪᑡPbḄÐq(q>0),nN=qj3a2=3(%+d)=9,3=h3\b=çq2=93••è4=%4.•.ீQ`.h_?|9q=3+12a5=4-15al+10d=9q-2-#a1=b]=l,d=2,q=3,ᦑᦪᑡP/J>P᝘Ḅ⚗!ᑖã=2n-l,b=3"T.n(2)ᵫ(1)f=ab=(2n-1)x3fnn7`=1x3°+3x31+5x32+•••+(2n-3)x3n-2+(2n-1)x3n_10,37`=1x31+3x32+5x334--+(2n-3)x3n-1+(2n-1)x3"ঝজ-ঝ#-2஻=1+2X(31+32+33+-+3nT)-(2n-1)X3n=1+2Xa":T)-(2n-3)x3n=-2-(2n-2)x3n.•••7`=1+(n-1)x3n.ூ-᪆௃(1)ᑭᵨ,Úᦪᑡ>,ÐᦪᑡḄ⚗!Çᐸ,ÚᦪᑡḄn⚗>!-ᓽ";(2)ᑭᵨ┯{Wô¥>ᓽ".*⚪ὃ0ª,Úᦪᑡ,ÐᦪᑡḄõᔠö@Ç┯{Wô>÷⚪ABC᫏⚪.21.ூᫀ௃-(1)ø2bcos4=acosB,tfy.2sinBcosA=sinAcosB,ᓽ"#tanA=2tanB..জtanC=—tan(B+A)=—3V3>ᓽtan(A+8)=füý:=3>/3..(2),12⚓ᐳ14⚓

12ὶxজঝ#tanB=-4(ÿ)
ᡈᙛᦑ8=3(2)ᵫ⚪~BD=^(BA+BC},ᦑ=஻2+;2+2|u|c0sB)N4ᓽ4=(9+Iᐗ|2+2|Ix3xcosB)=(9+I/+36|BC|),444᦮ᳮ||2+3-12=0I|=
ᡈ-48(!)
ᦑBC=Kᓽ"ᡠ$.ூ᪆௃(1))2bcos4=acosBᓄ+
ᓽ2sinBcos4=sinAcosB,ᓽ,tcmA=2tanB,-ᔠtanC=-tan(F+A)=-3®ᓽ,ᑮᐵ1tanBḄ34$ᓽ,5(2)ᑭᵨ="9+:)
;<=3ᓽ,᪀⌼@ᐵ1BCḄ34
ᓽ,.A⚪ὃCD+ឤFGᣚIJᦪLMᙠ$OPQḄRᵨ
S1T᫏⚪.22.ூVᫀ௃(l)/(x)=y/3sin2x—(2cos2x-1)=>/3sin2x—cos2x=2sin(2x-6ᵫ2/CTT-52%—F2/CTT+XkE.ZfCIcn:*)WxWkji+),kEZ.26263YZᦪf஺)=2s\(2x-g)Ḅᓫ^⌴`ab"cᐔeDfᐔ+3kez)ob3ফᵫপ,i/'(%)=2sin(2x-
)*+.f(x)=2,2maxmᦪznnopq%iGR,q%2WR,re2%i+e~2X1+m(eX1+e~X1)+8>/(t)ᡂv.ᓽpqw16R,e2%1+e~2X1+m(eX14-e~Xj)4-8>2ᡂv
xyz?2{+e~2X1+m(eX1+e~X1)4-6>0ᡂv.|y=e2X1+e~2X1+m(eX1+e~X1)+6,}e*i+ef=3~e2"i+e-2X1=(e*1+e-X1)2-2=t2-2vxGR,•t=eX1+e~X1>2,tᓄ"+mt+4>0ᙠ£G[2+8)tឤᡂv.f|g(t)=/+mt+4ᐸp=e£,.“€[2,+8)t
.•জeD2Q
ᓽm2e4,g(t)m=g(2)=8+2m0,mN-47nঝe>2,ᓽmV—4Q
g(t)mtn=9(—£)=4—N0,mE0.t,
ᙠmᦪninopqw1GR,qWRr+e-2X14-m(eX1+e-X1)+8>f(%2)ᡂv
mᦪmḄz[-4,+8).

13ூ᪆௃1ᑭᵨ+G
¡ᵫ¢ᔠZᦪḄᓫ^ឋ$/Xᓫ^⌴`ab52ᵫ1,=2,¦⚪ᓄ"32%+6-2©+ª☜1+6-¥1+620ᡂv
|y=e2xi+e-2xi+meZ+eTi+6,ᣚᐗµᑭᵨᑖ·¸$Y¹ZᦪḄᨬ
¡ᵫᨬ»ᜧ1F10$mᦪmḄ.A⚪ὃC¢ᔠZᦪḄᓫ^ឋJᐸ$¸
ὃCᓄ½¾ᓄ¿À
ÁÂÃᑭᵨᑖ·¸$Y¹ZᦪḄᨬ
ὃCÄÅ$Æ
SÇ⚪.È14⚓
ᐳ14⚓