福建省宁德市2023-2024学年高二下学期期末质量检测数学试题（图片版，无答案）

i{Hfi 2023-2024 ++ffi t6 =+HEH; -Eg&,nil
x9.+iilru
*t|4,
+ +.*^A&xt Effif )'.tifi.Ekttr-trtfg ftl'i&tim?. WZ" 5+ +-# LiE+iIq.
*r&86-t*."
2. E?j6#EEr't, i&S?4.M8* tr, H zs +E?fl,6E6f t.rf&EE E EtB*l, gt+
H. iEffi&a, H&EW+$tr, Bi&iAX.1&6Xt6?-" E6iFi&#EEr'i, l.t6*
566tr+t. 5rl4ifr6t7Ex.
-. it#EE, tEEJtt,J.EE, EEEsi), ^#40r). E64.EErA*6!EIErE+, RH-rfr
EtrEEEtrE*Ai.
t. I&W. 'v6 = I / -2Er = z a'l6!llt*rf-t{t,fi )v
A.0 8.2 C.4 D.6
2. dIEf,ilEa =1m,1,2), l=tl 2,2l,r) , fi ar/b, flrl*&-=
A. 1 24 B.
I c. l D.z
3. lRffir|+AEl xfr v ffi#+{ FPXffiA\*H#X, H4,},+ e,%ffJfrBi^h xfr yd
J(, T,!l K, ETiHTEIfiEA
ko 2.072 2.706 3.841 6.635 7879
P(K1 >ko) 0.150 0.100 0.050 0.010 0.005
A. 2.819 8.5.512 C. 6.635 D.8.243
+. eN&W. f (x) tsH, = -r hLfrlil,4fi IEjt x+ / - I = 0, IlJ /'(-l) + / (-r) =
A.-1 B.0 C. I D.2
s. &El 1+ ABCD - AtBptDt +, a h&. BB,HI+ A, IU+ffi H*, 4E 5 BDt *hffJf,.tE
,fAN
t; r
A. V' B. v'
: c.fi ,.tru
5 3 52
l[+itfr H1F (rt6ri)
{#{QQABSYIOEgwgwgogA4JkIMAZAAChCU4bQUHUYXCokCK0QukQBkEJAGCRYJUgOgOBAQAQMCsEAuAAQQqRwFJFAIBFAIAA==}}##}}
6. Etr)EEt# {i,j,k} T, EfnriEt a =(r, , -l),0=(-t,0,1),rr =3a+2b, Wl ^ e:j S:
ffr&tu++
A. -l B. -1 c. I D,22
7. -& E a\H H 1* &#-nt *th H k(r ? /0 ++ 4h1E E lfr.Hiltr lfr lfr.H 1r? ifr [t &B/v
p(k), I t .o.o.-o .f{Wtfi.i+,t1ilp(k)=\ (r+lxr+2)' -' "FFc)vffi&, tufrutrth\'t96++.t
[0, k>4,
*. 4f. H &+ 1+ ly.H U Hifi ffi M,4 h
A.21 B.8l c-..41 D.18
A' lz s) (z 5l [: 5) (t slLr,r'r"s] " [- *] t l*'*] ' [* *]
=. itl*EE, SEE^rt:4.EE, E4'ff 6r, ^rt rsi). EE4'EE!A,Ui!AE+, A*$ +e
EE E E*. +*BitxJAllE 6 r), $rit$AtJlBi[ h tl, Albffi$E o h.
s. dtu&*.r = /(x), *emry/(,)mgamsrtra,
AlJT'!Ji}.EtrTftO{E
t. 8* f (x) #.(-2,0) t +rarerg
a. ew f (x) E(o,s) r-+i,arBm
c. 8* f (x) E x = -2 ILW:I1b&/J\E
o. w*. / (,)&x = 3 4I&{S&^,E
r0. aFzffiffiT, trIft+*A2fES, 1+n!*, afi++AlfH$, z+trry,
WffiAtl, &+*ft,4nra.q,r,\ryfi+.llH-f$H^z+, E/ zf;trmdrryfi I ++,
ieFff At *zrr,\ ryf; +ry U 0!I$E E Lt,,4, *zrr. ry # + ry fl Hg4EArt, q ff B & r
zEFryU ffiSEHS, E!E ^
^tJTrtljt4+iEEfr
A.+{+r-5+,f+ ArtEEMn n. p@tL\=L
4
c P(8,4r)=: o. r1r;=1
t2
fi+fiE H2E (Jt6n)
{#{QQABSYOIEgwgwgogA4JkIMAZAAChCU4bQUHUYXCokCK0QukQBkEJAGCRYJUgOgOBAQAQMCsEAuAAQQqRwFJFAIBFAIAA==}}##}}
D,+4, N&EIMAB1D (A,,AF) ArE4i,, RP,QhfrI&!*,&AEfrcFTiaa, AU
T'dHiOEfiTgTE
H. D fuIJ+fr EABEIEEts)! I&
^. 3
B. -frfr8-AB-CffJ,.rTG,h3{
c. * MN //+fr8c8 r'J, H /,i/HlHtfi{.H.h zJi
D. *,w.PQtrEit&4.Etz
i. ilES' *@rt 3 dtE, ?,J.EE s J), ,t 15 r).
12. #Wffi xr, xr,..., xn ffifi E)t l, Rt)Wffi 2q + t,2x2 + 1,...,2\2 + 1 B!,EX
t3. W&48 P - ABCD 0tI& EEsF'ti EttVt, E" FE = zEi, # DE =,78 + yfr +,7F, rfiJ
14. #6?*, aer + ln a - ln(-x + 2) ) 2'lErln, fl [ *fi a 6!fr.,Hffi E ?
E. ##ffi, ttu^+54'ffi, *77r. #*&5ut+ii,Er. iEEEillE*Egf,H.
ls. (13 r))
e&W. f (x) = u1 -3ax2, x =t fr f(x) Elt&trH.
(l) ***aEt?.:
(2) #Efic(r)= f(x)-n6=14,H, **&m frREffiE.
t3E (Jt6E)
{#{QQABSYIOEgwgwgogA4JkIMAZAAChCU4bQUHUYXCokCK0QukQBkEJAGCRYJUgOgOBAQAQMCsEAuAAQQqRwFJFAIBFAIAA==}}##}}
16. ( t5 r))
tr. Afi -dr *H ft + tr ++ e, & * t n il H ft { tr 0! E E A 6, E r* }^ E il + + X e E A fi & fi
Lfi * drffi 4qfrffi., fr 4r tr IEW.H ffi fr 4r #.ffi./K+. . Xfr it ffi ft E fr AA H E!U, rE e +
Hffi Ee_fr , xIEt +ftrf " Efr HFtr oiiB haB y < H A fr) 5*f+iE.t4rsi+?E,t{H?t x
( +H ) 2.I"FJ HlX A\tli6ft fi ,'t4 fi 7 y 5 x RH *,i+ffi X*f-ffJ#lk. tfr,x* ilJ&tuffJ
E fr ii( 9q E + ffi illffi H s E, + E F jg tu Et -5 i' n E +.,1 ? E.lt E E * tr tu T *,
*tri&'l,f fl Ex+E tr'fEH E : ( f fi ) 2 4 5 6 a
E'AtrPlAHnryrrEtr (trfH) 3 4 4 5 5
fi iX{ izi&{txgt+E tr.ffi ffi A/j l 2 f H B-'f , trfi tr P El H.l }g r\Ail *,t H + fr,
(2) #EfrEFBtrllgtutr^lft+ 5 tr'+Hffiifrc0Elfit "dtEidc&E ", tq) ffiWffr s
EifrcOE+ffittiE$3 rii, ie++fiEifrmEH'1trtr.)! x , *x trrtlfrrtfiX+NE.
Ix.v -r,
+tA,\, a=-*-= . ;=-r -b;. 6tW.ffi, t,,.y,=rz, f ,l =:+5.
lxi -ri' i=r i=r
17. AB=t, PA=Z, E)tPDffi+H., F.FX-t*,FkpA Ltedt.
(t) &,W.Ac Lft6l+EF. M , tfrEru //+ffiPABt *f+8, xff*lla,
*TF T, i{,ENBH:
Q) \H& DF 5+.fr ACE ffi F\ffJfr &xr'l, *tkFL AF fftKB.
;48 (rt 6 Ei)
{#{QQABSYOIEgwgwgogA4JkIMAZAAChCU4bQUHUYXCokCK0QukQBkEJAGCRYJUgOgOBAQAQMCsEAuAAQQqRwFJFAIBFAIAA==}}##}}
18. (l7rf)
eff E/\+ ffJ a\&, +?Eil*E! fi .{r, E Bf ffi n' iEEo{ ea E##Atrffi fi , +tfi
v-F,# *4 hn *\ & fr ip.fr.*, )1 7 ffi +e ff H ? 'EE. r( fr iR Ht + EIF ;f ,, XH ffi irl ffi ffi 0!, i*
frwl s00 E + Ertti ila a, ffitfr +.*F b fr & 7 s - t 45 h zl4, &fr .fi84 x.h frl i! +&rt
ffifftffi4hfrHn trrrEtrz\.
*ffi*tlftHttr*aH!E'
Q) fr ffi4 rifr H} EEI'il.x rSn+ fr + HffJft,* ltffix rtlgUR,rUE # J} 4 N (u, o' ),
4+ I tt+ 6+E& ( E -rHfi fdH lrt1 X# ffi EH + A'{A'ff 'lt* ), o = 13 .IL D',4fr ffi
E 4 tfi + *.+Wfl ffi ry, I 0 )Slrtsi^, iSS + fi * n\rfi&t!_ t3s.2 h ffr xw.^ v, *Ef
flt4tr ff'i$4. (4Rffi{fr 4!J o.ol )r
o) t fr t\4.&&.tuiRfr.41hrfiffi*ffiA+qrs H.t^*,,g&*XH tq* ffiM*,lt:fr , tl
A 20+Jef , e+X+-HtrEtrm itHf[&Ei& r-+f AlirEttfin fiftE4tfr*, H=
xtrt6, *it-x*rElt, r|J4rElt +xklffiw,J :; #iir-)tErt, r{ +xiEit a!ffi B
t j, eru m a +ffi -xiE jJ a.rffi +lt j, ia r n+,r :]Jtr, n *fftry.ah p,, lHE fr p, tl
*tsil, +*dJP,Ei&t.{E.
pff, f m+rl{Ex nEr.tr#,}fi //( p,o'), nl e(p-o < x < p+o) =0.6827 ,
P (p - 2o < X < A + zo) = 6.9545, P (p - 3o < x < U + to) = 9.9973 .
95fi (rt6n)
{#{QQABSYIOEgwgwgogA4JkIMAZAAChCU4bQUHUYXCokCK0QukQBkEJAGCRYJUgOgOBAQAQMCsEAuAAQQqRwFJFAIBFAIAA==}}##}}
19. A*a&W. -f (t) = x - I + ln .r, (a e R).x
( I ) iliA8fi ,r(r) 0tSffi tS'
(2) ie,th!*,f G\ & A(x,,y,),8(x,,y,)N F,*tln*,il'tfl+h k,. k7 ' H"*' AB fiN4)1k' '
{fx,,-r,?(0,r1 . ti[: Ha>lf-f, fr\+kz-2\>0.
fi+iilffi fi6F (*6F)
{#{QQABSYOIEgwgwgogA4JkIMAZAAChCU4bQUHUYXCokCK0QukQBkEJAGCRYJUgOgOBAQAQMCsEAuAAQQqRwFJFAIBFAIAA==}}##}}