（全国卷）大教育合作学校2020届高三数学第四次（６月）联考试题 文答案.pdf

1、书!#$%&()!*!+!,+!#$%&()!*#+!,+-./01$2#$#$3456789*:;=!#$%&()!%!()!&!()*#(&!)#(!)*#(!)#(&#)(#$&#*(!%&%!#!%!()!#&$&#%&!$#*+#$&#&$!#%#%&%!,!()(-#)(*+,-./01#$-23&(%#!)*+,-.#$%23&(.#)*+,451!6#$.23&789:#+;!/!-!()?*$+#,$-#A-&$0#B,$0!?=CD:#1(2,&*1(2-+
(2$0槡&槡#$,&/30#%&-!3!%!().&#+&#$#EF/+&!$.*#G*&)!$#B/+&!$

2、.)!$!H.&3I#/+$#%&%!-!()?JK0!%LMN#0!%LOP78QRS!#)QTS!3#)#UV0!%LWX#!3)!&4#$#&#!4&!/&YS!#EF$
(2!/%*!$#!/5!*$
!*!#!1%!#Z$
!*!/!1%!#H1&$I#$&!/!%&-!6!%!()U&_#abcdefgh!i#j(!i#k(!i#l(!i#m(!i#K(!j#k(!j#l(!j#m(!j#K(!k#l(!k#m(!k#K(!l#m(!l#K(!m#K#n!3o&p&aqDr)K*Lr3o#st2&3!3&!%&%!4!,!()p!uvS3 wxy45 Lz6#4x

3、|&356#36&!#+&!#35#B356&$0#$35 槡&34#UV+槡&*#(h7#*#&*#G*7&槡#!%&,!p#xy45 L%+*$*&!#Z*%*+$)*+&$!B*+*#*+槡#&!#+!G*7&槡#$&7槡#%!%&,!8!.!()78(#)8&!*!*!$9*!*!$9#*+*!*!$9(#B)_#+$F8&8*7&8(.!%&.!$!%!()UL#O#rq)*#Z,)*#!&,&#&,&#,&j#&,&j#/&Q!%&%!.!()H%,$#!I#0!%&%LOP#?0!%�!%)!+#%,$#!LOP5!#vL#Z+w%,!#LOP&:+%,)!#$LOP#

4、UV0!%4,)!#LOPO!9!%&0!%*7&$#0!%&)7#$&)7 LOP0!%LOPr_.S#Z!)7$#/#)7$#G)#!#)!*!)#)#-!%&.!#!-!()?(S2 4-L#$25!*25#+#7#B=&u2!%$#$!$,$#B%#$*$#$&7#$25!#&%#$*#+%#$*+#*7#)%#$&#+%$*+#*7#w)7$%$7#$7#*+槡#h25!LQ#B#23&?%#$*$#$&7#$,$#$)7&?8&!#5#+5$槡&#*#G$&槡#*#+#$槡#*#+)7#Z$槡#!7#)+#)7+#G槡#):$!#B$=&4x|3&$5#!3vS#&$LS#1(23

5、&$5#&+7(槡#B3&$5#(/30#UV5!&$5#(8$0!H5!&$5#&8$0I#LS&r#&H5!&$5#+8$0I#LS&r/#B%23!/!()!.#!)!&#!#)!.&#)!)#&/!/!()0!&)0!)!&)!)!):2!&!3!()$4 S#B4,hR#R!#14,-;LQ#18%,-;&!#5!5!51(2,;-&!#1(2,;-Q#Z,;-x|#Y14,-;(!L=#H,;-;I#I14,-;Lh=L#B#槡&#$L1/!#&!槡$槡#!()4&4;=#?CD:#4=#&4;#*;=#)#54;5;=;14;=&#B4=槡&?!#$%&()!*+!,+!#$%&

6、()!*/+!,+4=#*;=#&4;#4=;&8$0&u;=-&!$0$&$8$0#B4=,&!4$0)8$0)&8$0)&#$4,*-;&;=1(2&*4=1(2!8$0)&1(2&槡*1(2!8$0)&1(2&槡*;?槡&#!6!(#!73*7#&!#$7!*/*!7!*&!#Z/7!*6&!#f!8&)#$7!*53#&)#Z#7!*3&)!#!/f?#G7!&#&)!#$7(&#*!()!5!)!&)(!f!#?!#*((&#)(#4fB*(*!*(&#)!(*!#)(&!#*!&/#!$f#$K$*(%h/#!#LK#$?(&/!)!#%#(!)!#&4)4#(!#f!4!(

7、#!?#+7#*#$!K#*&7*$!#fA$!$3*$!*7*$!*$!$3*$!$3&!#7*&$!/3!#f?#G7&$!#*&$!#3&/f!#H)6ILK!$!$3*$!*$!#*$!5!$&3#$LK(35!&!3#LK(35!$!&3$&3fH+6ILK!$!#3*$!$3*$!$35!$&3#$LK(356&!3#LK(35/6&#$!f!#5#!)6+6#K!3!3$K3$#$6$#33!$4f!?A#&!$5!35#$)3$5!3#$56$5353./!#8+!4/!#!$f+r839L$%&L5()*r+!#f!8!(#!4,&,-&4-#$&4,-=|#4-,&$0#A

8、;hy,4-LS#$,;-4-&#f!4-&-!&4!-!&44!#44!/,-!#$-4-!4!.#4!4-&4-,&$0#$&44!-=|#$4!;-4-#/fA,;#4!;&;#$4-514!,;#A4-0514-!4!#$514!,;-514-!4!f!#+-4-!4!h-#Q/L6|$0L.!0L184-!4!槡f4&4!,;#4!,&#,;&4!;槡&#?CD:#;14!;,&,;#*4!;#)4!,#,;.4!;&)!#B4!;,&!#$0!#$,;-LR#!8f?!#4-514!,;#4-0 514,-#$14!,;-14,-#.y,;#!$f4514!,;6#84!14

9、!6-,;#.,;L2y(346#B4!6-14,-#$5LR4!6&#!f#$54,-B4!,!-!LC&8&4,-.4!6&!#槡5#5 5#&槡#!#f#$!(#!?#&#D#*D#&3#123#G D&!#{#/D&/#&!#123#f?+!#D&!#$67y-L%#&#$!/f!#?#xy)L8t94#$#u1!1,$!?%#&#$#$&%#B$E&%&3fuS2%$#%#$!#!%$,$#B:yL8t%$#f(h:yL$)%#$#&%$!%)%$#Z$&%$%)%#$#$F$#)%#$!#!6fuxy)L$&1%)%#$#EF%#&#$#;:#%#)#1%*%#$&$!4f

10、!#$%&()!*3+!,+!#$%&()!*+!,+?xy).67y(&(#_S#&/1#)/%#$&/!1#)%#$+$!u&!%!#$!#!%#$#B%!%#&%#$#%#!&#$!#%#&#$#!$f1!1#&$!%!.$#%#&%#!#%!.%#%#&%!%#/&%#$/&!fA1&%#$#)$%$)$&%$#$1!1#&1#%1!#1#1#K!#f#!(#!0!%LD?#0E!%&%*%&!%*!%#!f!0E!%$4%$)!&0E!%+$4%+)!#f#$0!%4!A+#A!hBJK#4!A!#*+hCJK#$%&A!h0!%LD/S#Eh0!%LQ/S#(h0!%=(2&0!A

11、!&)!/f!#!(9E!%&%*%)7!*!%&!%*!%)7%!3f!#0!%4!$#*+hCJK#B0!%+0!$&$#Z%+$!F7)$#B9E!%+$#9!%4!$#*+hCJK#$JK9!%GD&fF7+$#u%$%$&7#w0!%&%4!$#*+hCJK#BH$%$%$I#%$7#UV9E!%$&H%+%$I#%+7#UV9E!%+$#$9!%4!$#%$hBJK#4!%$#*+hCJK#$%&%$hJK9!%LD/S!H#F0!%94D#IK7LJKL!$#*+!4f!(pqH7&!I#9!%&%A%A:2%A!#B9E!%&!%*!%)!%)!#9E!%4!$#*+hCJK#

12、9E!#&#槡)$#9E!&#)#+$#$9E!%4!#!94qMS%!8fH$%$%!I#9E!%$&H%+%!I#9E!%+$#$9!%4!$#%!hBJK#4!%!#*+hCJK#!$f#$%&%!h9!%LD/S#Eh9!%LQ/S#9!%(9!%!&%!%!)%!):2%!)!f?9E!%!&!%!*!%!)!%!)!&$#%!%!&!#%!*:2%!&$#$9!%(9!%!&!)$)!&$#%9!%($!#fpNO9!%($#ZO%A%A:2%A!($#!%&:2!%&:2%*%#$ZO:2%*%(%*:2%*!#8fP.!%&:2%*%!%+$#B.E!%&!%*!+$#UV.!

13、%4!$#*+hCJK#H%5$I#:2%5)+#$:2%*%5)+#H%5*+I#:2%*%5*+#$.&:2%*%!$f#$ZO.(.*!.%!PG!.&.).)!.%#BGE!.&.)!H.$I#GE!.$&H.+$I#GE!.+$#$G!.4!)+#$hBJK#4!$#*+hCJK#$.&$hJKG!.LD/S#G!.(G!$&$#Z.(.*!.%Q!H#9!%($Q!#f#!(#!-LRK#_-5-#%#*$#&!槡;1&*1(2&#*!;1&槡)1(2&#&/#fZ-LST%#*$#&/!/f!#xy)LRK%&!*.;:#.#*#!;1!*1(2!.)#&$!f!#&/!;1!*

14、1(2!#)/5!5!)#&/!;1!*1(2!#*4+$#$+(.Lr_LI#fgu.!#.#=u4 SU.!#,SU.#B.!*.#&)#!;1!*1(2!#6f?56642*566,2 4,LS#4f#$.!*.#&)!;2!&)!#!xyLV8|#%!&!/!$f#!(#!H7&!I#W%0!%*0!%#+$#Z%!)%*!)%#+$#X(!%*!*%!)%+$!Z%*!*%+$#%,!#fH%+)!%,!I#%*!*%+$#G%+)!#$%+)!#%,!&/fH%)!I#%)!)%+$#Z)!+$#Q!H#W%0!%*0!%#+$LGY%+)!#%,&!f!#!0!%*#)%&7)%*#)%(!7)%*!%)#&7)#!4f#$W0!%*#)%(7 ZQL7 U47)#(7#8fG7)!IK7LJKLh!)+#!-!$f