最新四川省成都七中届高三年级二诊模拟考试理科数学及答案优秀名师资料.docx
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最新四川省成都七中届高三年级二诊模拟考试理科数学及答案优秀名师资料.docx
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最新四川省成都七中届高三年级二诊模拟考试理科数学及答案优秀名师资料
四川省成都七中2012届高三年级二诊模拟考试理科数学及答案
成都七中高2012级高三二诊模拟考试
数学试题(理科)
一(选择题(每小题5分,共60分,在每小题给出的四个选项中,只有
一项是符合要求()
2i1Z,、复数的虚部是()1,i
A.iB.,iC.1D.,1
2yx-ax+2,log,,a2、若函数在区间上为减函数,则的取值范围是()a(,,,1]
A.(0,1)B.[2,,,)C.[2,3)D.(1,3)
1310,ABCtanC,tanA,,cosB,3、在中,,则()210
A.,1B.1C.3D.,2
O,ABC、已知4三点在球心为,半径为的球面上,且三棱锥为正四面体,那么A,BA,B,CO3
两点间的球面距离为()
,2A.B.C.,D.,323
ABC5、已知点是边长为的等边的中心,则()O(OA,OB),(OA,OC),1
1111A.B.,C.D.,9966
6、以,(x)表示标准正态总体在区间(,,,x)内取值的概率,若随机变量服从正态分布
2,则概率P(|,,,|,,),()N(,,,)
1,A.,,(,,),,,(,,)B.,
(1),,(,1)C.,()D.2,(,,,),
nn,1{a}S{a}na,2a,a,2,27、已知数列满足且,为数列的前项和,则nnn1nn,1
(S,2)2012log,()2
A.2013B.2012C.2011D.2010minorinjuryrateislessthan0.8%.15.2.3constructionsafetymanagementsysteminordertoachievesecurityobjectivesanddevelopsafetymanagementsystem:
(1)constructioncontractresponsibilitysystemforproductionsafetyandsecuritybeforetheapproachtoestablisheffectivesafetyproductionresponsibilitysystem,enablingallstafftoclarifytheirsecurityresponsibilities,projectmanagerandconstructionteam,subcontractorsenterintoaconstructioncontract,specificationforsafebehaviour.
(2)safetyinstructionandsafetytrainingbeforetheapproachofsafetyeducationforallemployees,comesintoplayintheconstructionandregularlecturesonsecurity,securityawarenessandstafftraininginspecialpositions.(3)safetyinformationregularlychecktheimplementationofthesafetyandsecurityreportssubmittedinatimelymanner,appropriatesecuritymeasures,developsafetyplans,activecontactwithLabordepartmentstoensureinformationtransfer,thetransfer,collection,management.(4)securitysystemaccordingtothestandardcase,thewholeconstructionprocessofsecuritycheckstoeliminatehiddendangers,andbycheckingandrewardandpunishmentsystemtoenhancethesafetyawarenessofstaff,ensuringsmoothsafetyguidelinesandregulations,ensurethesecuritygoalsofthe.15.2.4,safetyandfacilitiesmanagement
(1)configurationofsafetyequipment:
material,repairshop,reinforcedwood-modeprocessingplants,constructionofliving
22xy28、若抛物线与双曲线有相同的焦点下,点是两曲线,,1(a,0,b,0)y,2px(p,0)A22ab
AF,x的一个交点,且轴,若为双曲线的一条渐近线,则的倾斜角所在的区间可能是ll
()
,,,,,,A.(0,)B.(,)C.(,)D.(,)4644332
112,b9、为正实数,且,,1,则的最大值为()a,bab2ab
1953A.B.C.D.216164
x,R10、已知定义在上的函数满足下列三个条件,,对任意的都有;y,f(x)f(x,4),f(x)R
?
对任意的,都有;?
的图像关于轴对称。
则0,x,x,2f(x),f(x)y,f(x,2)y1212
的大小关系为()f(4.5),f(6.5),f(7)
A.f(4.5),f(7),f(6.5)B.f(4.5),f(6.5),f(7)C.f(7),f(4.5),f(6.5)D.f(6.5),f(7),f(4.5)
22xy2,,1(a,0,b,0)11、双曲线的渐近线与抛物线相切,则该双曲线的离心率为y,x,122ab
()
A.3B.2C.5D.612、用红、黄、蓝三种颜色去涂图中标号为的个小正方形,使得任意相邻(有公共边)1,2?
?
99
的小正方形所涂颜色都不相同,且标号为“3,5,7”的小正方形涂相同的颜色,则符合条件的所有涂法共有()种
123A.18B.36C.72D.108
456二、填空题(共4小题,每小题4分,共16分)789
x,0,
y,xkz,x,3y13、已知满足条件为常数,若得最大值为x,y,
2x,y,k,0,
8,则。
k,
314、直径为的球的内接正四面体的体积=。
modeprocessingplants,constructionofliving-inforcedwooduritygoalsofthe.15.2.4,safetyandfacilitiesmanagement
(1)configurationofsafetyequipment:
material,repairshop,rehesecdandpunishmentsystemtoenhancethesafetyawarenessofstaff,ensuringsmoothsafetyguidelinesandregulations,ensuretothestandardcase,thewholeconstructionprocessofsecuritycheckstoeliminatehiddendangers,andbycheckingandrewardingtontactwithLabordepartmentstoensureinformationtransfer,thetransfer,collection,management.(4)securitysystemaccorfthesafetyandsecurityreportssubmittedinatimelymanner,appropriatesecuritymeasures,developsafetyplans,activectiononsecurity,securityawarenessandstafftraininginspecialpositions.(3)safetyinformationregularlychecktheimplementarainingbeforetheapproachofsafetyeducationforallemployees,comesintoplayintheconstructionandregularlecturesofetyttionteam,subcontractorsenterintoaconstructioncontract,specificationforsafebehaviour.
(2)safetyinstructionandsaproductionresponsibilitysystem,enablingallstafftoclarifytheirsecurityresponsibilities,projectmanagerandconstrucafety)constructioncontractresponsibilitysystemforproductionsafetyandsecuritybeforetheapproachtoestablisheffectives15.2.3constructionsafetymanagementsysteminordertoachievesecurityobjectivesanddevelopsafetymanagementsystem:
(1minorinjuryrateislessthan0.8%.2
22xy15、若点和点分别为椭圆的中心和左焦点,点为椭圆上任意一点,则,,1OP,FPOFP43
的最大值为。
A,R16、设集合,集合中的任意元素满足运算“”,且运算“”具有,,A
a,b,Aa,a,0如下性质,对任意的,
(1);
(2);a,b,c,A
(3);给出下列命题:
(a,b),c,a,c,b,c,c
0,Aa,Aa,0a,0,a,;?
若则;?
若且则(1,1),1,01,A
其中正确命题的序号是(写出所有正确命题的序号)
三、解答题(共6题,17题~21题每题12分,22题14分,共74分)
222,ABC17、a,c,ac,bc在中,分别是角的对边,已知且a,b,cA,B,Cb,ac,
(1)求的大小;,A
A,f(x),cos(,x,),sin(,x)(,,0)(2,)设且的最小正周期为,求在的最f(x)f(x)[0,]22
大值。
18、甲、乙两名运动员一次试跳2米成功的概率分别为0.7,0.6且每次试跳成功与否相互之间没有
影响。
求:
(1)甲试跳3次,第3次才成功的概率;
(2)甲、乙两人在第一次试跳中至少有一个成功的概率;
(3)甲、乙两人各试跳两次,甲比乙的成功次数恰好多一次的概率。
19、在直三棱柱中,AA,AB,BC,3,AC,2,D是中点.AC1
BC//平面ABD
(1)求证:
;11
BABD
(2)求点到平面的距离;11
第3页,共13页
(3)求二面角的余弦值。
A,DB,B11
1220、已知函数,f(x),alnx,x,(1,a)x(x,0)2
(1)求的单调区间;f(x)
(2)若在内恒成立,求实数的取值范围;af(x),0(0,,,)
111n*(3)求证:
。
,,?
,,n,N,ln2ln3ln(n,1)n,1
x21、已知椭圆的对称中心为原点,焦点在轴上,左,右焦点分别为F和F,且,|FF|,2CO1212
3点在该椭圆上。
(1,)2
(1)求椭圆的方程;C
122FF
(2)过的直线与椭圆相交于A,B两点,若,AFB的面积为,求以为圆心且与直lC1227线相切的圆的方程。
l
111aab?
,,,bab,1,b,2b,1,1,,(,,)22、数列满足,若数列满足1nnnn1n,1nbbb12n,1
*(n,2,n,N)
bb,b,b
(1)求及;n234
uritygoalsofthe.15.2.4,safetyandfacilitiesmanagement
(1)configurationofsafetyequipment:
material,repairshop,rehesecdandpunishmentsystemtoenhancethesafetyawarenessofstaff,ensuringsmoothsafetyguidelinesandregulations,ensuretothestandardcase,thewholeconstructionprocessofsecuritycheckstoeliminatehiddendangers,andbycheckingandrewardingtontactwithLabordepartmentstoensureinformationtransfer,thetransfer,collection,management.(4)securitysystemaccorfthesafetyandsecurityreportssubmittedinatimelymanner,appropriatesecuritymeasures,developsafetyplans,activectiononsecurity,securityawarenessandstafftraininginspecialpositions.(3)safetyinformationregularlychecktheimplementarainingbeforetheapproachofsafetyeducationforallemployees,comesintoplayintheconstructionandregularlecturesofetyttionteam,subcontractorsenterintoaconstructioncontract,specificationforsafebehaviour.
(2)safetyinstructionandsaproductionresponsibilitysystem,enablingallstafftoclarifytheirsecurityresponsibilities,projectmanagerandconstrucafety)constructioncontractresponsibilitysystemforproductionsafetyandsecuritybeforetheapproachtoestablisheffectives15.2.3constructionsafetymanagementsysteminordertoachievesecurityobjectivesanddevelopsafetymanagementsystem:
(1minorinjuryrateislessthan0.8%.modeprocessingplants,constructionofliving-inforcedwood4
a,1b*nn
(2)证明;,(n,2,n,N)abn,n,11
11110*(3)求证:
。
(1,)(1,)?
(1,),(n,N)aaa3n12
成都七中高2012级二诊模拟试题参考答案
一、选择题
2i(1,i)1Z,,i,1?
、理C虚部为1;(1,i)(1,i)
B,{x|1,x,4}?
A:
B,{x|2,x,4}文C。
第5页,共13页
2x,2x,2a,22、C当时,在上为减函数,排除;(,,,1]y,logA2
2x,4x,22a,4当时,在上为减函数,但不恒大于0,x,4x,2(,,,1]y,log4
排除B;
323x,x,22当时,在上不为减函数。
a,y,log(,,,1]322
1013、A。
sinB,,tanB,?
tanC,,tan(A,B),,1103
,O,ABC?
,AOB,?
3,,4、D为正四面体,所求距离为。
33
2335、D|OA|,|OB|,|OC|,,,,?
OA,OB,OC,0323
312,()()()()()cos120?
OA,OB,OA,OC,,OC,,OB,,,36
6、理B
,,,,,,,,,P,(|,,|,,),P,(,,),P,(,,),,(),,(),,
(1),,(,1),,
2,文A切线方程为y|,(3x,2)|,1?
y,x,1x,1x,1
nn,1nn,17、理A由得,而a,2a,a,2,2a,2,,(a,2)1nn,1nn,1
n201220111,即a,2?
a,2,,(a,2),?
,(a,2),0n201220111
20122(1,2)(S,2)2201220132012?
S,2,2,?
2,,2,2?
log,2013201221,2
22q4a,4a,a文C设公比为,由题设,?
4aq,4a,aq?
q,4q,4,0213111
4a(1,q)1?
q,2?
S,,1541,q
2p22PPPPp222224F(,0),C,,A(,P),a,bc,a,b8、理D由及,又,,1222224ab
2222222ba,b4(a,b)abt,,0即,令,则,,1?
(),4,4,02222aabba
-inforcedwooduritygoalsofthe.15.2.4,safetyandfacilitiesmanagement
(1)configurationofsafetyequipment:
material,repairshop,rehesecdandpunishmentsystemtoenhancethesafetyawarenessofstaff,ensuringsmoothsafetyguidelinesandregulations,ensuretothestandardcase,thewholeconstructionprocessofsecuritycheckstoeliminatehiddendangers,andbycheckingandrewardingtontactwithLabordepartmentstoensureinformationtransfer,thetransfer,collection,management.(4)securitysystemaccorfthesafetyandsecurityreportssubmittedinatimelymanner,appropriatesecuritymeasures,developsafetyplans,activectiononsecurity,securityawarenessandstafftraininginspecialpositions.(3)safetyinformationregularlychecktheimplementarainingbeforetheapproachofsafetyeducationforallemployees,comesintoplayintheconstructionandregularlecturesofetyttionteam,subcontractorsenterintoaconstructioncontract,specificationforsafebehaviour.
(2)safetyinstructionandsaproductionresponsibilitysystem,enablingallstafftoclarifytheirsecurityresponsibilities,projectmanagerandconstrucafety)constructioncontractresponsibilitysystemforproductionsafetyandsecuritybeforetheapproachtoestablisheffectives15.2.3constructionsafetymanagementsysteminordertoachievesecurityobjectivesanddevelopsafetymanagementsystem:
(1minorinjuryrateislessthan0.8%.modeprocessingplants,constructionofliving6
42,,设倾斜角为,则t,4t,4,0?
t,2,22
b,,。
tan,,2,22,3?
(,),,a32
42()4yy2A3A文A,设,则(2,),(,)AyGF(1,0),B(2,0),(),1,?
y,,1AA3323
?
A(2,,1)?
|AF|,2
21111113139,b22
(1)()()9、B,,,,,,,,,,,,2222416ababaaaaaaa
13119,,,当时,取最大值。
16a4b4
10、A对?
对任意的,都有说明在,,0,20,x,x,2f(x),f(x)f(x)1212
x,2单增,对,由周期为,对?
对称轴方程为f(,x,2),f(x,2)?
4
?
f(7),f(3),f
(1)f(6.5),f(2.5),f(1.5)f(4.5),f(0.5)
y2011、C设切点,则切线的斜率为2x,由题意P(x,y),2x,y,2x00000x0
bb2222?
y,x,1?
x,1,2x?
x,1?
2,e,1,(),5又00000aa
112、D解:
标号为“3,5,7”三条相同颜色有种涂法,当“3,5,7”涂C3
1好后,“2,4,1”有两类涂法,一类“2,4”同色有种。
此时“1”C2
111
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