辽宁省实验中学、鞍山一中等五校2021-2022学年高二下学期期末联考数学试题

2021-2022 ~~~7'~'1JUl,ij*~i.t~=~t&i9:~f4i.it~ •M~tt:~~m~~+~~~ •~A:~~ tt~A:~~ ffl I =ff~tfH (~ 60 ~) --·~--.li~.ll~8~.li,.~.li5*.~~*-~-~,m~ml¥J1111-t-•~~.R 1f-JJHUi*B § -~l¥J) I. B~,01:tJg q l¥J~t:t~ftl{an} l¥]§°~ a1 > 0, YliJ" q >I"£" a5 > a3 "!¥] ( ) A.~*~~-&# B. 0-~~*&# C. ~-&# D. ~~~*~~0-&# 2. B~pij-1'-lffitfl.5t:i:X,YmJlY=_!_X+l. liX-N(l,22 ), !i!IJD(Y)l¥Jffi]g( ) 2 , A. 4 B. 3 C. 2 D. I 3.iia~y = 2x 3 f:E(-6,6] l¥JOO~::k~Jg c ) 2x +Tx X -6 A. )' 8 B. X -6 () 4 6 X C. D. 1 2an,0 sans- 4. ~~ftl{aJmflan+I = } 2 , al=¾, Jillj~ftl{an} ~1¥J~l¥Jffi~pJ~g 2an - I, - < an < I Jg ( ) 1 A. - 5 2 B. 5 2 4 C. 5 D. 6 5 a . 5. B~EEJ~g(x) = ex --x2 ;ffpij,t-~~l&ffiB, Jillj~~a 1¥J~ffiffi~£ ( ) 2 1 1 A. (0,e) B. (0,-) C. (e,+oo) D. (-,+oo) e e 6. ".fl5:Efi&6~"£ « iE*~1:.1*11n fil1~tffi;itt» wWm:@ § i:p 1¥1-:@, B9ill~±tt!.IR ~ i:p ~ 1:. 1¥J .fl5:Efi&6~Wl~m~ffl ~ C itiffz:: cm) ~f¾JA.iE~*,m N(200, 0"2 ) , Ji P(~?::: 220) = 0.1 , JYl1.JA~±tt!.!R~~~1:.i:pjljfi.fJUm~ 3 A, Jtir.~ff:£(180,220) l*Jl¥JA~JgX, !ilfff1J~ it.iE.l¥J¾ ( ) A. P(180 < ~ < 220) = 0.9 C. D(X) = 0.16 B. E(X) = 2.4 D. P(X?::: 1) = 0.488 7. B9ill~JU {an}, 5:EJl.~ftl {an+I -2an} Jg~~u {an} 1¥]" 2 fir~~~U". ~{an} l¥J" 2 f!~ ~~U"l¥Jiffi:@m.Jl an+I -2an = 2n+I, Ji al = 2, jj!U~~u {an} l¥JiW n :@,fl] Sn = C ) A. (n-1)2n+I +2 B. n·2n+l _2 C. (n-l)2n +2 D. (n+1)2n -2 8. ~ii-~(a,b)pJ~f"Flitl~y=lnx1¥Jpij&iJJ~, )j!lj ( ) A. a<lnb B. b<lna C. lna<b D. lnb<a =· $~••1m<**lm~4 ,J,,m, .,J,,ms*, ~20*. ~.,J,e~mt¥Jim-t-•~~. lr$~~*m§•*·½~•mt¥J~s*·•mm~½t¥J~2*,lf•fflt¥J~o~> 9. ~jljfifJVJftj: A,B ~1=.1¥Jffl$*~'JJg P(A) = 0.3, P(B) = 0.6, "f~Uiirt:.iE•l¥J1fC ) A. ~ P(AB) = 0.18, !i!IJ A,B .t1EB!ll.fl B. ~ A,B :ffl:!:iJ!ll.fl, jj!IJ P(B I A)= 0.6 c. ~P(BIA)=0.4, !i!IJP(AB)=0.12 D. ~AcB, !i!IJP(A-IB)=0.3 10. ~~tl{an}l¥J1run:@JgSn, B~4Sn=a;+2an+1, "f~U~#;:i:p.iE.l¥J¾ ( ) A. {an} Jg~~~~U B. {an} pJfjgJg~tt~~U 11. B~Jllfffl9c9c~ l¥Jpij -t-1t:I: x, Y l¥J-t.1Dmw!~~ffl (xi, Yi), (x2, Y2 ),- · ·, (xn, Yn) , EE ~~~1¥J~tt~~1Je]g;=h+;, ~"f~~rt:~.iE•1¥J¾c ) A. ~!BH~; = bx+~ ~d.>~:ii#.\ (Xi,Y1),(X2,Yi),· ··,(Xn,Yn) ~l¥J--1'-.~ - 1~ - 1~ A A A -- B. ~x=-~x;, y=-~Y;, !i!IJ~V31i~y=bx+a-5:Ef}i:t#.\(x,y) n i=I . n i=I C. ~ B (Xi,Yi),(x2,y2), · .. ,(xn,Yn) ~f:EH~ x- Y + 2 = 0 J:., !i!IJ1t:li x,y l¥Jffl9c*~ r = 1 A o. ~~:I: x ~:JJ!l- -t-itifiz:111, !i!IJ~:I: y ->fj:$J~ :JJn:sx~d.> I b I -t-itiffz: 12. B9iUEB~ f(x) = ex -x2 , Jillj"f~tl~rt:.iE•l¥J¾ ( ) A. f(x) f:E R J:.. if.J:i!im B. f(x) f:E (-oo, ln 2) J:.iti ir.J:i!i~ C. ~ffi~Y = f(x)-lnx+x 2 f:EX = Xo ~~~)\i,j,ffi, Jillj Xo E (0,1) D. Vxe(0,+oo), f(x)>lnx-x 2 +2 ffl II =ff~F ~ff Iii ( ~ 90 ~) .=.. ~~MJ(::.$:::k.li~41J,Jm, .,J,,1!5*, ~20*) 13. B9iUlltl~Cl¥J7Il~Jgy=ln(x+l)+e2 x, Ji!IJIIB~Cf:E#.i:A(0,1)~1¥JtJJ~7J~Jg !i!IJS2022 = __ 3 1 - - 2 15. e.9;UP(A)=5, P(BIA)= 2 , P(BIA)=3, WIJP(B)= __ l+lnx _.,._ 16. C.9;Qfl!~f(x)=--, :trX1°'v'Xi,X2 E(l,+oo), X1 :;i!:X2 , mfl X IJ(x1)- /(x2)l:Skllnx1 -lnx2I, 9!Ukl¥J•OO:m!E:I!. __ _ ll!I. M~.li <-*:kmi~ 6 11'.11!, ~ 70 5t.M~~~ iliX¥~1!J.1, YEl!J.IM:~~itiiff:~~-) 17. <-*1J,Jm7'ii7t 10 *) B~~~~f!J{an} l¥JIDT n:J'.9i*°73 Sn, a3n = 3an -2, .fi S5 -S3 = 4a2 • 1 3 (2) 19:~ftl{-s} l¥Jfilrn:J'.9i*°73T,,, i.iEIIA: T <-. n n 4 18. ( * 1J'.lli 7'ij * 12 *) ll.l< tttttt:I! 2022 ff ~t J?: ~* ~ ~ ~ l¥J E ~!Im, ~ ,m fal % a~ ~ fl m "~ • l¥J ll.l< ra 5'r Xffi ~ 1r , ~•*~•ru•~~-~~~•. •~-~~~. •~%•~~~~~. •~r:k~A l¥J .:g: ~ , Bf! 731ib'dl l¥J ifjj ~ , "-f.ttxt *". ~ ~ lHfl ~ ~ m:tm • 1 oo A , X1" ~ N fl~ fRJ Wg ~llJ<±tttttillJr~ lt, ~ ;~iuzrrF ~ = ~It/~ [10,20) [20,30) [30,40) [40,50) [50,60) [60, 70) [70,80) Ml !Ill.A.ft 10 20 25 15 18 7 5 ~-jRJ,'-1~9<.J.A.ft 10 18 22 9 10 4 2 O)tr~ff- 40 ~ 737)-Jf-~, 83 ~-1mit~~3t.f!"Fafil¥J 2x2 f1Jlf*~, #*'Jlffi:J!Nfl 99.9% l¥Jre~~~~~~ittitt~A~~~~*? f~-t- 40 ~l¥JA~ ::ff~r 40 ~ l¥JA~ ,~-it fl~ fRJ~~lJJ<!ttittl¥JA~ JG~ fRJ ~ !kll.l<±tt±tt l¥J A~ -~-it wtrMf¥·~~~7~l¥J-~ltAff*~m~::e3A~ffWlt, 19:~~A*n•~~~ !¥kittl¥JA~73 X, * X l¥J5t1llftl*°~~Wlfl!. 2 n(ad-bc)2 ~~~~: K =---------'----, jt*n=a+b+c+d. (a+ b)(c + d)(a + c)(b + d) P(K 2 ~ k0 ) 0.15 0.10 0.05 0.025 0.010 0.005 ko 2.072 2.706 3.841 5.024 6.635 7.879 0.001 10.828 19. <-*1J,.JJI7'ij7)- 12 *) !frrun1:t1cwn1u1p~. f8j~"!lrn1nrli~". :l!m 2019 !frruro;:t1cm•mlfe~~~l¥Jni1i~. ~JE.ia ~~X1"*~-~l¥J~~mAl¥J~-~ff~M. ~m:tm•11000fil~~-Al¥J~Mff-*, jt*•~!lrrum:t1c~•l¥.lfl20ofil, ~••~73••l¥.l~ttoo:. < 1 )~B1raJ~ i1g *~•iii¥J 5 ~ ~~mA *, i'frfl 3 Am~!lrrum:t1cm•l¥.l•*:I!~& 1 < 2 ) rt:i rr :mm: m Am~ 1tm iir llJHfl, tr~ iir P&m l¥.l--t-* m a 83 3 1-eg r 5t 14 ffl.f! , ~ ,t-eg-f-5t#ftNtt*I~l¥J·$~73!,.fi.-t-eg-f-5t#ftNtt*I~ffl~8~. tr* 2 ma*fl&M-*l¥Jeg-f-5t#tt~I~.~Gm~tt~I~.}3-·G*mtt~I~- *· ~*mi1g*~~1-~ft3t½-ffl¥Jjt~~-l¥Jeg-f-jt#, •-t-ffi5t#tt*I~l¥J- $~73 P(O < P < 1), .fiffi*5tftJ:J§fl&rl-*l¥Jeg-f-5tf1f tt~If'f, 9!U G m~tt~I ~- ~: P•~*~~#B1, m~•••-t-a*ml¥Jtt~I~••? 21. <-*'J'.li7'ii7t 12 7t) B~ffi~/(x) =(a+ 2)x2 + ax-lnx(a e R). ( 1) ~a= 0 B1, *i.iE: f(x) > 2x2 - x; 2 22. <-*1J,.JJI7'ii7t 12 *) c.9;Qfli~f(x)=lnx-mx+1, g(x)=x(ex -2). ( 1) tr f(x) l¥Ji'ii::kffi:/! O, *m l¥Jffi: C2) tr~ff~x>O, f(x):Sg(x)flif!~, *ml¥J.ffimm.