2015-2016年北京东城高三上学期期末理科数学试题及答?- 百度文库 ر

2015-2016걱Ǹѧĩѧ⼰

ж2015-2016ѧһѧĩѧͳһ

ѧ ƣ 2016.1

һ֣ѡ 40֣

һѡ⹲8С⣬ÿС5֣40.ÿСгĸѡУѡĿ

Ҫһ.

1֪U?{1,2,3,4}A?{1,3,4}B?{2,4}ô(CUA)IB?

A{2} B{4} C{1,3} D{2,4} 2֪ij׶ͼ(λcm)ͼʾô׶

3 3

3 1

ͼ ࣨͼ

1

3 ͼ

A

3 cm3 B2 cm3 C3 cm3 D9 cm3 23iΪλz(1?2i)z?5iôz鲿Ϊ

A?1 B1 C i D?i 4֪m?(0,1)a?logm2b?mc?2ôa,b,c֮ĴСϵΪ

Ab?c?a Bb?a?c Ca?b?c Dc?a?b 5ֱ֪lбΪ?бΪkô??2m?3ǡk?3

AֶҪ BҪ CֱҪ DȲҲҪ

?1??1,0?x?26֪f(x)??xxķf(x)?kͬʵ

??lnx,x?2ôʵkȡֵΧ

33A (1,??) B[,??) C[e2,??) D[ln2,??)

27y?2pxp?0)ĽFֱ߽A,B㣬Oԭ㣬

BF?3BF?AF?BFO?22?ôAFֵΪ 3 (A)1 (B)3 (C) 3 D 6 2

8ͼʾABCD?A?B?C?D?ⳤΪ1, E,FֱAA?CC?е㣬

ֱE,FƽֱBB?DD?M,NBM? xx?(0,1)ĸ⣺

ıMENFΪƽıΣ

ıMENFs?f(x),x?(0,1),f(x)С ֵ

׶AMENFV?p(x)x?(0,1)

EDMBCA'D'NB'FC'p(x)

1 ABCD?MENFV?h(x)x?(,1)2h(x)Ϊ мΪ

A(A)

(B)

(C)

D

ڶ֣ѡ 110֣

⹲6С⣬ÿС5֣30.

009 ?ABCУabֱΪABĶԱߣB?30C?105a?4

ôb? .

10ƽa,bУ֪a?(1,3)b?(2,y).a?b?5ôy=

a+b?a-bôy= .

?x+y?10,?11֪x,yԼ?x?y?2,ôz?x2?y2ֵΪ___.

?x?3?12f(x)?x2sinx?aͼ(,1)f(t)?2ôa? f(?t)?

13ƽֱϵеA(a?1,a?1)B(a,a)ֱlԳƣôֱl Ϊ__.

14{an}㣺an?1?an?1?2an(n?1,n?N)⣺

{an}㣺a2?a1an?an?1(n?1,n?N*) ڴڳcʹan?c(n?N*)

p?q?m?n(p,q,m,n?N)ap?aq?am?an ܴڳdʹan?a1?(n?1)d(n?N*)

ȷ____(дȷ۵)

⹲6С⣬80֣Ӧд˵㲽֤̣ 15С⹲13֣

{an}һΪq(q?0,q?1)ȱУ4a1,3a2,2a3ɵȲ,ǰ4s4?15.

{an}ͨʽ

bn?an?2n,(n?1,2,3......),{bn}ǰn.

16С⹲13֣

֪f(x)?sin2**x?23sinxcosx?cos2x(x?R)

f(x)Сں[0,]ϵĵݼ䣻 ?Ϊ޽ǣcos??

3?7)ֵ. f(?2125

17С⹲14֣

ͼ׶P?ABCDУABCDΪΣ

P E D A B C PA?ABCDAB?AP,EΪPDе.

֤:AE?CD

ֱAEƽPBDɽǵֵ

FΪABе㣬PCǷһMʹFM?ACڣ

18С⹲13֣

PMֵڣ˵. MCx2y21֪Բ2?2?1a?b?0ĽF1F2F1F2?2Ϊ

ab2ԲCķ̣

ԲҽF2ֱlԲAB㣬|AF2|g|F2B|ȡֵΧ