华大新高考联盟2020届高三1月联考数学(理)试题答案
华中师范大学考试研究院
华中师范大学考试研究院
华中师范大学考试研究院
书书书
!"#$%&'()*+,-!.!!!!!/!0"/"
1234&56#$#$748!9:$;<=*
!"#$!%&'(!!!!!
)*+,-./012345
6!789
!!%!!#!&!!'!(!!"!(!!)!*!!+!(!!,!(!!-!*!!.!%!!!$!%!!!!!%!!!#!*
:!;<9
!'!/!
'!!!"!,
'#! ")
'
"/!
!!!)!'+$!!!+!槡)/!
=!>/9
!,!$>?%!!"@ABC!&D'#
$ 0'$
# 1'%#
#$ 槡0"#& #+EEEEEEEEEEEEEEEEEEEEEE
F'##0'$#1'%# 槡0"##$&G##0$#/%#
##$ 1 槡# #
' 1234&& "+EEEEEEEEEEEEEEEEEE
H456#&0234#&1!&I&" $&! "! &>D456&1!
'&J786&1456&
234&1槡#
"! ++EEEEEEEEEEE
!#"KL槡#456'1'456(&G#1'$
槡#
& ,+EEEEEEEEEEEEEEEEEEEEEEEEEEE
KL)#&'( 槡1##&J!
##$456& 槡1##&J!
#9'$#
槡#
9!
' 槡1##&>D$ 槡1##& .+EEEEEEEEEE
J#1+& !$+EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
G%1 ##0$#/##$234槡 & 槡1 '+0-/#9+9##9 槡# #槡 ' 槡1#'! !#+EEEEEEEEEEEEEE
!-!$>?%!!"KL$'&'!1$''!&&J&'1''!&MNOPQ&!&''! LRQ& !+EEEEEEEE
H(*%ST&''!&!&J$(*&1$(*'1.$$! #+EEEEEEEEEEEEEEEEEEEEE
KL(*1(*&(&1('&J#(*&(*'& "+EEEEEEEEEEEEEEEEEEEEEE
J&*1'*&FOPQ&''!&! LAUQ&J&'%&&!! )+EEEEEEEEEEEEEEEEE
!#"VWX&(*%*&&(*%*&!!YAUQ&!&''! Z&*&!%*&&JN* L[&*&!&*&&*( MY]
^+_L+','-`abcdMefST]gh,i*.+,-( ++EEEEEEEEEEEEEEEE
jkl&'1#&
G*!$&$&$"&&!!槡#&$&$"&&!$&槡#&$"&(!$&$&槡#"&(!!槡#& 槡/ #&槡#"&
IKL '((*/1*&'((
!0!
'&!('((
!&MN/!槡#&/ 槡#
' &槡#
' "!
MN&!
'(( &1! 槡/ #&槡#&$"&'((&(1!$& 槡/ #&槡#"!
lST&!&((! fmn
?%!!"VWX&0 1
#
&! "$ &G]^/2+,1+/1
#
&
5b
,#1#1+&
,1+/1
#
)
*
+
&D,#/#1,/1#1$( #+EEEEEEEEEEEEEEEEEEEEEEEEEE
l/ +!&,! "! &2 +#&,! "# &
G /2 1 !0!
3槡 # ,!/,# 1 !0!
3槡 # 9 ,!0,! "#
#/",!,槡 # 槡1 ## 槡# #11"& "+EEEEEEE
>D11!&Juv^(fUwL,#1#+! ++EEEEEEEEEEEEEEEEEEEEEEEE
!#"l/ ,#
!
#&,! "! &2 ,#
#
#&,! "# &
KL]^/2 fxyL!&G,#/,!
,#
#
#/,#
!
#
1 #
,#0,!
1!&MN,#0,!1#& ,+EEEEEEEEEEEEE
KL '((/40 '((241$&MN^z/2 Z4f{h,L,41!! -+EEEEEEEEEEEEEEEEE
]^/* fUwL,1,!
,#
!
#
+&F,1#
,!
+,"
]^25 fUwL,/#1,#/#
,#
#
#/#
+! "/# &F,1 #
,#0#+! "/# ,# .+EEEEEEEEEEEEEE
5b"#>D +1,!
#&
,1!
)
*
+ &
F 6 f{h,L,6 1!&F]^ 64-+`&
J]^ 64fxyL$! !!+EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
c|]^25 fxyj}Y&~sb!
M
&]^ 64fxyL$! !#+EEEEEEEEEEEEEEEEEEEEEEEEEEEE
#$!$>?%!!"VWX&7 ! "8 + 1:+/#0456+& !+EEEEEEEEEEEEEEEEEEEEEEEE
KL:+.:$1!&456+/!/$&J7 ! "8 + .$& '+EEEEEEEEEEEEEEEEEEEEEE
J#7! "+ Y /;&! "$ &J7! "+ 07!"$ 1$! "+EEEEEEEEEEEEEEEEE
!#">m!VWX&9!+"1:+/#+/234+0<6!+0!"&+0/!&
o:!+"198!+"1:+0 !
+0!0456+/#&G:!$"1$(
H:8!+"1:+/ !
!+0!"#0234+&+" $&!! "# &:8!+"0$& ++EEEEEEEEEEEEEE
J#:!+"Y $&!! "# &J+" $&!! "# &:!+"198!+"098!$"1$( -+EEEEEEE
+"!/!&$"&#:8!+"&H:8!$"1!&
I:8 /.! "!$ 1:/.
!$0234/.! "!$ /!$$.$&J1+$" /.
!$&! "$ &D:8!+$"1$&
J1+"!+$&$"&D:8!+"0$&F#:!+"&F98!+"(
华中师范大学考试研究院
华中师范大学考试研究院
华中师范大学考试研究院
!"#$%&'()*+,-!.'!!!!/!0"/"
J+"!+$&$"&98!+".98!$"1$& !!+EEEEEEEEEEEEEEEEEEEEEEEEE
J#9!+"Y!+$&$"&Y $&!! "# &
J+1$	!+"t9!$"1$! !#+EEEEEEEEEEEEEEEEEEEEEE
>m!VWX&9! "+ 1:+/#+/234+0<6+! "0! &+" /!&0;! "(
G9 ! "8 + 1:+0 !
+0!/#0456+1 ! ": + &98!"$ 1$( )+EEEEEEEEEEEEEEEEEEEE
+" $&!! "# & ! ":8+ 1:+/ !
+! "0! #0234+0$&J ! ": + Y $&!! "# &
J ! ": + 0:!"$ 1$&F9 ! "8 + 0$( ++EEEEEEEEEEEEEEEEEEEEEEEEEEE
+" /!&! "$ &o ! ";+ 1 +! "0! #:+&! "<+ 1 +! "0! #234+&
G ! ";8+ 1 +! "0! +! "0':+0$&J ! ";+ q /!&! "$ f#&
MN;! "/! . ! ";+ .;!"$ &F$. ! ";+ .!&
J}Y +!&! "$ 2 /!&! "$ & ! ";+ 0!
#&F:+0 !
# +! "0! #& -+EEEEEEEEEEEEEE
I$. +! "0! #.!&F234!.234+.!&F$. ! "<+ .!&
J}Y +#&! "$ 2 /!&! "$ & ! "<+ 0!
#&F234+0 !
# +! "0! #( !$+EEEEEEEEEEEEE
l +!&! "$ 3 +#&! "$ 1 +$&! "$ &
GY +$&! "$ & ! ":8+ 1:+/ !
+! "0! #0234+0$&J ! ": + q +$&! "$ f#&
FY +$&! "$ &9 ! "8 + 1:+0 !
+0!/#0456+.$& !!+EEEEEEEEEEEEEEEEEE
J+1$	! "+ t9!"$ 1$! !#+EEEEEEEEEEEEEEEEEEEEEE
#!!$>?%!!"Z&31 ! "!$$$9 '$$9#)$/#$$9#)$ #
)$$9)$$9))$9")$ 4!$!!.!$!-#-& #+EEEEEEEEE
J..!.=f L¡¢£¤f¥¦r§¨MYf©ª«¬®! '+EEEEEEEEEE
!#"VWX&= f¯°tL$&!&'&"& "+EEEEEEEEEEEEEEEEEEEEEEEE
J> =! "1$ 1! "!
#
"
1!
!+1> =! "1" &> =! "1! 1%'
" ! "!
#
"
1"
!+1!
"1> =! "1' &
> =! "1# 1%#
" ! "!
#
"
1+
!+1'
-& ++EEEEEEEEEEEEEEEEEEEEEEEEEEEE
= $ ! # ' "
> !
!+
!
"
'
-
!
"
!
!+
J ! "2 = 1"9!
#1#! ,+EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
!'">#?5-&??5"!±²'@5? ?! "/! ?! "/# &F² @5#%'
?(
³´²µ+¶·X?&3"@6 &?53&%3
?0!0%3
?!
²µ+KL%3
?0!/%3
?1%3/!
? 0$&MN%3
?0!0%3
?!
l#? ¸¹ºZ1!1"@&1/#?"¸¹º¥»¼£&
"1"-$&!.&
@1%'
#?/15%'
#?/#1 #?! "/# #?! "/' #?! "/"
+ 1"9 ?! "/! ?! "/# #?! "/'
+ &
KL?5"&MN#?/'0?&
华中师范大学考试研究院
华中师范大学考试研究院
华中师范大学考试研究院
!"#$%&'()*+,-!."!!!!/!0"/"
pq @0"9? ?! "/! ?! "/#
+ 1"%'
?0#%'
?! -+EEEEEEEEEEEEEEEEEEEEEE
#1"-#?/#?/!?.&@1%'
15%'
#?/#&½D @0#%'
?! .+EEEEEEEEEEEE
$'/1/#?/'&@1%'
10%'
#?/1&l7!1"1%'
10%'
#?/1&'/1/#?/'&
'/1/#?/"&7!10!"/7!1"1%'
10!0%'
#?/1/!/%'
1/%'
#?/11%#
1/%#
#?/1/!& !$+EEEEEE
17#?/1/!&10#?/1/!F?/1/#?/"&7!10!"07!1"&
1.#?/1/!F'/1/?/!&7!10!".7!1"& !!+EEEEEEEEEEEEEEEEEE
F7!?".7!?0!".,.7!#?/'"(7!'"07!""0,07!?"&
K¾7!1"57!?"1#%'
?&F @5#%'
?!
&@5#%'
?&F'@5?!?/!"!?/#"! !#+EEEEEEEEEEEEEEEEEEEEEEE
##!$>?%!!"VWX&¿^(!++! "/# #0,#1"&F+#0,#/"+1$& !+EEEEEEEEEEEEEE
J"#/""234!1$&F"1"234!! '+EEEEEEEEEEEEEEEEEEEEEEEEEEEEE
KL"#1 "
234##0"456##
&J"#234##0""#456##1"&
F+#0",#1"&F+#
"0,#1!! )+EEEEEEEEEEEEEEEEEEEEEEEEEEEEE
!#"À!1!$ ÁÂ"#1 "
234##0"456##
&D"#
A1 "
!0'456#!$
&
À!1!$ ÁÂ"1"234!&D">1"234!$& ++EEEEEEEEEEEEEEEEEEEEEEEEE
@ *> 1# *A &D">1#"A&F "234!! "$
#1 !+
!0'456#!$
& ,+EEEEEEEEEEEEEEEEE
>D456#!$1#
'&G234#!$1!
'!
I$.!$.!
#&J"A1 "
!0'456#!槡 $
1 槡# '
' &">1"234!$1 槡" '
' & .+EEEEEEEEEEEEEEE
J#@>A fTÃ)#@>A 1)#*@> /)#*@A 1!
## *@ # ">/"! "A #456!$1 槡# #
' ! !$+EEEEEEE
#'!$>?%!!"±²%"/%###0#"5%#%"0#! ""
%#0## &
F² %#0#! "# %"/%###0#! "" 5%#%"0#! "" & !+EEEEEEEEEEEEEEEEEEEEEEE
F²%+0#+5%)#0%#)& #+EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
F²%+0#+/%)#/%#)5$&
F²%) %/! "# / %/! "##)5$&
F² %)/#! ") %/! "# 5$& "+EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
ÄÅsb&Æ%1#ÇÈsb&
J%"/%###0#"5%#%"0#! ""
%#0## ! )+EEEEEEEEEEEEEEEEEEEEEEEEEEEE
!#"@ÉjÇÅD%'0#'0$'5'%#$& ++EEEEEEEEEEEEEEEEEEEEEEEEE
%'0#'0!5'%#'0$'0!5'#$&%'0$'0!5'%$&
Æ%1#1$1!ÇÈsb! ,+EEEEEEEEEEEEEEEEEEEEEEEEEEE
ÀTOŬÊ&D'%'0'#'0'$'0'5'%#$0'%#0'#$0'%$& .+EEEEEEEEEEEEEE
F%'0#'0$'5%#0#$0%$! !$+EEEEEEEEEEEEEEEEEEEEEEEEEEEEE