2021-2022学年陕西省渭南市韩城市高一（下）期末数学试卷（附答案详解）

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2021-2022
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z{|}~4=22n+l(nGN*)ᦪ.ᑮ1732
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1A.[V3-2,V3+2]B.(-OO,2-V3]U[2+V3,+OO)C.[2—V3,2+V3]D.(—oo,V3—2]U[V3+2,+oo)9.;<ᦪᑡätinæ×ØḄ=1,a=«2n-l+a2n+i=a2n+3n(MeN*),ᑣᦪ2nᑡäéæḄZ2017⚗Ḅë§()A.31003B.32°i6_2017C.31008-2017D.31009-201810.;<îïßÀ3=l(a>0,b>0)ḄÂஹÄᯖ`ᑖ²§FiU2UM§îïßÄðAḄ`Uᵨᙠò/2|§óḄᙊAUOô”&166U0Ḅÿ
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2ḄXWᦪᑡ#ᦪᑡ%YZ[=2,\+]+^+Ḅa2a3…+`=a+6.0d+inn(1)ᦪᑡ4Ḅc⚗Vd(2)ᦪᑡbḄf஻⚗gh.18.&'jᦪf(x)=2sinxcosx—2-73cos2x+V3,xGR.(t)/(x)Ḅᨬuᕜw(-)ᐵ:xḄKXd7nf(x)+3m>/(x)ᙠRzឤᡂ}#ᦪmḄ02.(~,ᵨᑮḄ,9(=ᙠ[-1,1]z?jᦪ)19.&'ᙊC,^+#=l(a>b>0)Ḅᯖ
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4.JC-(AB+AC-2AM)=0,•■BC-MD=0,MD1BCôõᑖBC.ö»÷>MḄøù\cHúABCḄ᜜¢.ᦑ⌱,C.ᑭᵨᔣþḄÀÁÿᑣஹᦪᚖḄᐵஹḄ᜜ᓽ.ᔣḄᑣஹᦪᚖḄᐵஹḄ᜜⚪Ḅᐵ".4.ூ&ᫀ௃Aூ᪆௃*ᵫ&=22"+l(neN*),ᑣ9=10g2(&-1)-1=2n-1,ᑣ>?=@A@=>—>Caa(2"-l)(2n+1-l)2n2"+1nn+iᑣD+E+…+G=(»I+6-*)+_+L@ᾓ)=1_N<1CPQRS?@+—+…+>@+l>+…+>@ḄkCmQRSᓽ.஺2a2a3anan+io⚪ὃqrᦪᑡḄjkCstὃqrQRSឤᡂVu⚪Cvw᫏⚪.5.ூ&ᫀ௃4ூ᪆௃ூ&௃*zy=log(x2-2x+17)=log2Kx-l)2+16]Ḅ_[m,+8),2•••m=4,•_^_^_,6a+2b+a+2b=4•••7a+4b=-[(6a+2b)+(a+2b)](—+—)=-[5++>-x(5+41AJk/JV6a+2ba+2/4La+2b6a+2bJ4'4)=-,74ᜐ=%>2^RCa+2b6a+2b7a+46Ḅᨬ_*4ᦑ⌱4ூ᪆௃ᑭᵨy=log2(%2—2x+17)Ḅ_[m,+8),j஻?CmCᑭᵨ1ḄᣚCᓽj7a+4bḄᨬ_.o⚪ὃqᦪḄ_CὃqoQRSḄᵨCὃqᑖ᪆u⚪ḄCvw

5᫏⚪.6.ூ&ᫀ௃Cூ᪆௃*ᵫ⚪CSA4BC=ZMsinC=fab=¥C244ᡠªab=15,ᵫ«¬ᳮCcos¯=@=°ᓃ²=ᝣC322ab30᦮ᳮCa+b=8,ᦑᕜ¶a+b+c=15.ᦑ⌱*C.ᵫ·¸¹ᔠḄ☢¼Sjᯠ¾¹ᔠ«¬ᳮja+6,¿Àjᕜ¶.o⚪Á⌕ὃqr«¬ᳮAḄ☢¼SḄÃᓫÅᵨCvẠÇ⚪.7.ூ&ᫀ௃Cூ᪆௃*ÈÉᙊC*Ë+\=l(a>b>0)ḄÍஹÎᯖtᑖÐa(-c,0),F(C,0),2ÈP(?n,7i),n>0,ᵫPF2ᚖxÓm=c,ᵫÔ=fo2(i@£)=%,Ö=gÈQ(s,t),ᵫPF௃=3F]Q,—c—c=3(s+c),——=3t,s=-fC,t=@[33aÙQ(-1c,1CÚᐭÉᙊÜÝgt+ᔁ=1,HP25c2+a2—c2=9a2,ᓽᨵa?=3c?,ᑣe=l=ga3ᦑ⌱*C.jÉᙊḄÍÎᯖtCÈP(m,n),ᵫ⚪m=c,ᐭÉᙊÜÝjmᵫᔣᐳãḄᙶ᪗⊤ç஺Ḅᙶ᪗CᐭÉᙊÜÝCᓄÃ᦮ᳮCᵫÉᙊḄé᳛¼Sᡠj_.o⚪ὃqÉᙊḄÜÝkឋìCíᵨᔣᐳãᳮCὃqᓄÃCvẠ⚪.8.ூ&ᫀ௃Cூ᪆௃*t஺(0,0)ᑮã/*ஹ=/^+(2-2ñ)Ḅòé6/=óôᧇ=öᵫ⚪ᙶ᪗÷tᑮã234d<\0P\,\0P\=V2,ᡠ8⚶:W<,2-6WkW2+6Cvfc2+lᦑkḄ^_a[2-V3,2+V3],ᦑ⌱*C.ü6⚓Cᐳ13⚓

6᪷ÿ
ᩩᔠᑮḄᓽ.⚪⌕ὃᑮḄὃ!Ạ⚪.9.ூᫀ௃Dூ᪆௃&ᵫ=1,a=an-l+a2n+l=a2n+3n(nGN*),12n2«2n+i=a2n+3n=a_!+(-l)n+3n,2n«2n-l=a2n-3+(-l)n-1+3nT,an-3=«2n-5+(-l)n-2+3n-2.2a5=a3+(—1)2+32ta3=al+(—l)1+31,?@1&an-i+a2n-3+…+&5+a=a-3+a2n-5+…+&3+%232n+(-1)1+(-1)2+D--+(-l)n-2+(-l)n-1+31+32...n-2+n-l++33E-lx[l-(-I)71-1]3x(1-3nT)"a2n-l=al21]_3113313=1-2+2X(_1)n_1+2X3n_1-2=2X(_1)n_1+2X3n_1-L3,1,a2n=a?"-௃+(-l)n=^x3n-1-2X~Lᑣ$2017=(«1+«3+a5+ߟ+d017)+(«2++'"+«2016)2=i[(-l)0+31-1+(-1)1+32—1+…+(—1)1஺஺8+310°9_1]+1[31-(-1)°-1+32-(-1)1-1+-+31008-(-1)1007-1]=3+3?+33+D••+31008+-x31009-2016--22=310°9_2018.ᦑ⌱&D._a2n=an-i+(`1abᐭa2n+i=a+3n,1ᑮa2n+i=a+3n=a-+22n2n2n1(-l)n+3n,def"gri-1,n-2,1,?@i1a2n-jk`l1ᑮa2nᑣᑖnᦪᑡqᓽrḄs2017⚗Ḅu.⚪ὃvᦪᑡ⌴xὃv?@yᦪᑡḄz⚗ὃ{|᫏⚪.10.ூᫀ௃Dூ᪆௃&ᵫ⚪~1F.MLFM,24"a2&=ᑣ|M&|=2csin8,|“a2|2ccos0,᪷Ḅ|MFil-IMF2I=2a,ᡠ2csin஺—2ccos0=2a,;i,஺sin0-cos0V2sin(0")

7ᡠᡈᡠ(e[V2,V3+1],ᦑ⌱&D.ᵫ⚪~14Ma2=஺2ᑣIMF/=2csin0,\MF\=2ccos஺ᑣ|M&|-▬=2a2k1£,ᓽ1ᫀ.a⚪ὃḄ᳛⚪|◤⌕ᳮ£¤¥|᫏⚪.11.ூᫀ௃`3ᡈ1ூ᪆௃&ᓃ&ax+(a+3)y-1=0¨(a+3)x-y+2=0ᚖa(a+3)+(a+3)x(-1)=0,1a——3ᡈa-1.ᦑᫀg&—3ᡈ1.ᑭᵨ¨ᚖឋ1ᑮᐵ஺Ḅ¯°±aḄ².⚪ὃ¨ᚖḄឋὃ³{!Ạ⚪.12.ூᫀ௃V15ூ᪆௃&ᵫ´ᙊ¯°1+1=1,14(`6,0),5(6,0),3620¶APḄ·᳛g¸.•APḄ¯°{x-V3y+6=0.MḄᙶ᪗{(m,0),ᑣMᑮAPḄ{᝞ᑶ{_=|-6|,7n¶`6WmW6,1m=2,.•.M(2,0).´ᙊ¿Ḅ(x,y)ᑮMḄgd,ᨵd2=(%—2)2+y2=x2—4x+4+20—^x2=^(x—^)2+15,ᵫ-6Wx<6,.,.ÂÃ=ÄÅcJ2fᨬȲ15,ᑣdfᨬȲVTKᦑᫀg&V15.ᵫ´ᙊ¯°1A,BḄᙶ᪗1ᑮAPḄ¯°MḄᙶ᪗±ᵫ
ᑡ1MḄᙶ᪗´ᙊ¿Ḅ(x,y)ᑮMḄgd,ᑭᵨÍÎḄᑡ±ᵫϯyᨬ².⚪ὃ´ᙊḄÐÑឋὃᑮḄÒᵨÓÔvᑭᵨϯyᨬ²{|᫏⚪.13.ூᫀ௃8+2ÕÖ8⚓ᐳ13⚓

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ᐸᨬᜧ²{ABḄ|Mᑮx+y+4=0ḄḄ2âᵫ⚪
AOABgãäåæÞᑣ|0M|=J22-(|)2=V3,4B|MḄçè{é0gᙊᔍgëìḄᙊᦑMᑮx+y+4=0Ḅᨬᜧgig+V3=2V2+V3,íîᒹ+ðñḄᨬᜧ²g2(2ò+V3),•••|X1+yi+4|+\x+y+41Ḅᨬᜧ²g2(2a+V3)xV2=84-2V6.22ᦑᫀg&8+2V6.ðñ!+óᘂḄÐÑ~gA,8ᑮx+y+4=0ḄÜu᪷ÝÞ|V2V2ß
ᐸᨬᜧ²{A8Ḅ|Mᑮx+y+4=0ḄḄ2â,MḄçèᓽ1õᨬᜧ².⚪ὃ¨ᙊḄßöᐵ÷uḄᨬ²ø⚪|᫏⚪.14.ூᫀùL2n+l,n>2ூ᪆௃&Âú=1ûbᐭ1Ḅ=Si=4,Ân22ûa=S-STnn71=n2+2n+1—(n—l)24-2(n—1)4-1
=2n+1,üýþÂn=lû¿ÿᔠᦑ0n=::“I2n+In>2ᦑᫀᵫ1ᓄ.-S_n>2nx⚪ὃᵫᦪᑡḄ!"⚗$%&⚗'(ᑖ*Ḅ+,-.Ạ⚪.15.ூᫀ௃3(1)ᵫ⚪(356ᦪa,6Ḅ7ᑖ81,49(2)ᵫ(1):f(x)=[+±140<%<1,0V1;0,---->0,X1-X1414•••/(X)=-+7—=(-++(1;ᑗ?JL«zVJL?1-x*=95+—+—>5+2X1-xX1-x@AB@?=Dᓽ“5FGHᡂJ••/(X)ḄᨬM79.

9ூ3᪆௃⚪ὃ.OGP;ᐗ5ROGḄ3S-.Ạ⚪.(1)ᵫTUVᳮ:1;5X3YZ[9(2)ᵫ(1):f(x)=9+]G+])[%+(1-`]=5+H+Dᵫ.OG.16.ூᫀ௃3(b)ᙊCḄYZ/+y2-2x-4y+m=0,ᵫ஺2+—4F=4+16—4m=20—4m>0,Bm<5,,᪷Ḅh7jk(;8,5)9(l)Ꮇnoᙠ6ᦪqrsABtuḄᙊvwxᑣ041஺zn/01/1),8(%2{2)ᑣ|1%2+%}2=0ὶJX2J21°AI"2--8%+5+m=0,—2%—4y4-m=0•=64-8(m+5)=24—8m>0,ᓽm<3,ᵫ(1):m<5,ᦑ?n<3,x+x=4,xx=G^r2r2•••y2=01-1)(X2-1)=X/2-Qi+%2)+1=G-4+1=G•••Xx+yy=G+G=m+2=0,x2x2/.m=-2<3,ᦑoᙠ6ᦪrsABtuḄᙊvwxm=-2.ூ3᪆௃()ᵫ஺2+E2-4F=4+16-4m=20-4m>0,ᓽ%C⊤ᙊḄqḄj;(l)Ꮇnoᙠ6ᦪ஻?rsA8tuḄᙊvwxIJ041OB,n4(,yi),B(x,y),22ᑣM+'2=0,ὶJtYZᙊḄYZᑮᐵxḄ;ᐗ5RYZᑭᵨ᪷ᦪḄᐵᔠX1%2+V1V2=0,ᓽ%6ᦪmḄ7.⚪ὃᙊḄYZὃtᙊᐵḄᵨὃ%3k᫏⚪.17.ூᫀ௃3(1)2++¡+…+”=ᵯ¥■+6,aia2a3anan+lᑣ@§22F¨+©+ª+…+᝞=A+6,aia2a3an-ian¬®¯=%±1;"ᓽ²11=2x"³@n=lF5="+6,”=;4,anan+ianan+lanaia2a2´42µ,¶@nN2Fᦪᑡ·¸k¹2ḄG¹ᦪᑡᑣ,=º»9ºᓽ¸k✌⚗1½2ḄG½ᦪᑡB|Ja=2n-l,nk@=[i(^2)x2n,n>2,n1ᡠsᦪᑡº%¸Ḅ&⚗%=1)n>.x2>n2(2)@n=1FSi=2,@n22FSn=2—3x22—5x23--------(2n-1)X2n,2S=4-3x23-5x24--------(2n-1)x2n+1,n¿10⚓ᐳ13⚓

10¬®;Sn=-2-3x22-2x(23+…+2n)+(2n-1)x2n+12x23(1-2n-2)-14-------------------------+(2n-1)x2n+1=2+(2n-3)x2n+1,ᑣᨵS=-2-(2n-3)x2n+1,³51=2ÃÄÅnᡠsᦪᑡº%¸Ḅ!n⚗$S=-2-(2n-3)x2n+1(neN*>nூ3᪆௃(1)᪷ÆÇVᩩÉ%Êᦪᑡºᓽ¸Ḅ&⚗ᙠË>2FᑏÊᦪᑡº⎃¸!n-1⚗an$ḄG¬ÏG®º[¸ḄឋÑÒᑖ᪆ÓÔ.an(2)ᙠnN2Fᑭᵨ┯®Ö%ÊÒ×Ø5i=2kᔲÃÄᓽÔ.⚪Ú⌕ὃᵫ⌴Ýᐵ%&⚗ḄYÖ┯®%$ḄYÖG:Þ-G⚪.18.ூᫀ௃3(b)/(%)=2sinxcosx—2V5cos2%+b=sin2x—Bcos2%=2sin(2x—ßᡠsàᦪḄᕜâT=y=7T,ᓽf(%)ḄᨬMãᕜâq(B)my'(x)+3m>/(x),ᓽ2msin(2%—^)4-3m>2sin(2x—g),äå=sin(2x—g),ᑣ1,1],•2t+3e[1,5],᪷Æ⚪(27nt+3m>2tᙠឤᡂJᓽᨵm2ញ=1;ញᙠ[_]ឤᡂJU1—ᨬᜧ71-jZt+355m>l2ᓽ6ᦪḄh7j[|,+8).ூ3᪆௃(ᙌ)ᑭᵨãîïḄðñsòóñᓄàᦪḄ3᪆Ò᪷ÆôñàᦪḄᨬMãᕜâᓽ%39(õ)ä1=sin(2x-9)ᑣte[-1,1],52t+36[1,5],᪷Æ⚪(2mt+3m>2tᙠ[-1,1]ឤᡂJᓽᨵm>~~=1—ᙠ[ߟL1]ឤᡂJ%Ê1;÷Ḅᨬᜧ7ᵫ¶ᓽ%3.⚪ὃøôñàᦪḄbùឋÑPᑮឤᡂJḄú⚪ὃøûªḄ-᫏⚪.19.ூᫀ௃3(1)nüᙊCḄýᯖÿc,c=V3᪷⚪a2-b2=c22•,2+y2=M(0,V2),202+(e)2=?a?=6,b2=3,

11•••ᙊCḄ1+=1ᙊ஺Ḅ/+y2=263(2)A஺1,yj,B(x,y),22ὶ/ᙊy=kx+m0y2ᓄ᦮ᳮ(l+2k2)/+4kmx+2I2-6=O,n{7+T=1ᑣ4=(4fcm)2-4(1+2fc2)(2m2-6)>0,4/cm+x2=-2H+1'27n2-6Xi%22k2+i,**OA=(%i,yi),OB=(%2»yz)»•OA-OB=xx+%$=xix2+(kxi+m)(fcx+r22=(1+/C2)%I%2++x)4-m222m2—6—4km=(l+/c2).—7^z———+km•———-+m22k2+12k2+1(1+fc2)(2m2-6)-4k2m2+m2(2k2+1)2k2+1_3m26126_3(2k2+2)-612-6=0,2k2+l2k2+1%&ᡠ()•*+,-.+,0.ூ᪆௃(1)᪷345ab,CḄ67ᐵ9:ᓽ<(2)=A,Bᙶ᪗ὶ@AᙊᑭᵨDE+ᳮFGHᓽ0,ᓽ4k2-m2+1>0.7n14m4-8km47n2-4“Xl+%2-2-xlx2--4k+14fc2+1•••@AAB\A஺x2+y2=ifᑗr12⚓ᐳ13⚓

12.,.uL=l,ᓽ*=஽2+1.vP+i—8km4m2—464fc2-16m2+16799ফ)=(+)-4^=(^^)-4X^=—TT48k2=(4H+i)2•r———4V3jfc2(fc2+1)•••\AB\=y/k2+l\x-x\=-----\-------±24/c2,+14k2+i=t(t>i),ᑣ|AB|=KJ-^+l+l=V3Ji-3(i-1)2.Vt>1,0<-<1.t0<\AB\<2.Ḅ,(0,2].£_V3;_2,ᑁᑮᙊ.{ED¢a2=b2+c2(X)জ^@AABḄ_᳛abᙠdF|43|ᓽ<.ঝ^@AABḄ_᳛bᙠd@AABḄN=/^+mAQiJi),8஺2,$)ὶ¤+y=௃ᑭᵨDE+ᳮ¦ᔠ@AA8\A஺ᔠ+ஹ2=1fᑗᑮ2=7n\.y=kx+mk2+1.ᑭᵨ«¬:¦ᔠ®¯ᦪḄឋ²Fᓽ<.K⚪ὃMᙊḄF³@AᙊḄPQᐵ9Ḅ%ᔠ´ᵨὃMµᓄ¶·¸$¹º»¼½T᫏⚪.