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2014届银川一中高三第一次月考文科理科试卷及答案第一次月考数学(文科)试卷

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promotion of empl oyment, form a reas ona ble and or derly pattern of income distri buti on, buil d a more fair and sustaina ble s oci al security systems, medi cal and he alth system reform. The ple nary, i nnovation of social gover nance, must focus on t he mainte nance of fundamental i nterests of the ove rwhelming maj ority of the pe opl e, maximize factors, e nha nce social development, impr oving s ocial g overna nce , the intere sts of national s ecurity, e nsure t hat the people live and w ork, social sta bility and order.

To improve soci al governa nce, stimulati ng social orga nization, innovative a nd ef fective system of preventing a nd re solvi ng so cial conflict s, improvi ng the publ ic se curity sy stem, set up the Nati ona l Security Council, nati onal security systems a nd nati ona l security strategy to ensure national se curity. Ple nary ses sion, the construction of ecologi cal civili zation, you m ust establi sh s yst ems of ecol ogical sy stem, usi ng the system to prote ct the ecologi cal e nvironme nt.

Zedong t hought by De ng Xia o-ping' s flag, repla ced by t hree repre sentatives a nd t he harmonic society.

The former Communist Party s pirit and social cohe sion point of almost all politi cal makeover. Chara cteristics of sociali sm pu blic owner shi p is s hifting to private ow ners hip, planne d regulati on and market regulation, the proletaria n regime controlle d by the elite. Of universal e qualit y, fairnes s and basi c pri nci ples of di stribution system is socialist s ociety, however after econ omic monopolize d by powerful , vested intere sts grow, employer s do not have the same stat us, hardly se ems fair socia l distri buti on.

State key protection of capital i nterests rather than the i nterests of citi zens, ha d bee n hits t he bott om of the prol etariat

To improve nat ural resource s asset property right system and use control, red li ne of delimitation of ecol ogica l prote ction, resource s pai d use system and ecological com pensation system in e col ogical e nvir onment protecti on ma nagement system reform. Ple nary se ssion, centeri ng on buil ding a li steni ng party command, can win a nd havi ng a fine st yle of the pe opl e's army, a strong army under the new sit uation of the party Goal s, restricti ng the development of nati onal defens e and army buil ding is s olved outstanding contra dicti ons a nd problems, innovati on a nd development of military the ory, e nhance m ilitary strategic gui dance, impr ove the military strategy in t he new peri od, buil ding a moder n military force system with Chi nese chara cteristics.

To deepen t he adj ustment of personnel system reform in the army, military policy a nd sy stem reform, promote the devel opment of military and civilian i ntegration dept h. Pl enary se ssi on stres sed t hat com prehe nsive reform must be to stre ngthe n and improve the party's lea ders hip, give full play to the core role of the party commands the overall s ituation and coor di nating all parties, im proving t he party's lea ding water ... Margi n. Challe nged the l eaders hip of the Communist Party of Chi na, Marxism -Leninism and Mao

银川一中 2014 届高三年级第一次月考
数 学 试 卷(文)

命题人:尹向阳

第Ⅰ卷
一、选择题(本大题共 12 小题,每小题 5 分,满分 60 分.在每小题给出的四个选项中,只 有一项是符合题目要求的.)
1.设U R, P {x | x 1},Q {x | x(x 2) 0}, ,则 CU (P Q)
A.{x | x 1或 x 2} B.{x | x 1} C.{x | x 2} D.{x | x 0}

2.函数 f (x) sin x sin(x ) 的最小正周期为 2

A.4

B.2

C.

D. 2

3.函数 y f (x) 的图象如图所示,则导函数 y f '(x) 的

图象的大致形状是

y

y

y

y

y f '(x)

o
y f '(x)

xo

x o y f '(x)

x o y f '(x)

x

A

B

C

D

4. 已知复数 z 1 2i , i 是虚数单位,则复数 的虚部是 3i

A. 1 i 10

B. 1 10

C. 7 10

D. 7 i 10

5. 下列大小关系正确的是

A. 0.43 30.4 log 4 3

B. log 4 3 0.43 30.4

C. 0.43 log 4 3 30.4
6. 下列说法正确的是

D. log 4 3 30.4 0.43

A. “ a 1 ”是“ f (x) log a x(a 0, a 1) 在 (0,) 上为增函数”的充要条件 B. 命题“ x R 使得 x2 2x 3 0 ”的否定是:“ x R, x 2 2x 3 0 ”

C. “ x 1”是“ x2 2x 3 0 ”的必要不充分条件

D. 命题 p:“ x R,sin x cos x 2 ”,则 p 是真命题

7. 函数 f (x) sin(x )( 0,| | ) 的部分图像如图 2

y 1

所示,如果 x1, x2

( 6

, ) ,且 3

f (x1 )



f (x2 ) ,

o
6

3

x

则 f (x1 x2 )

A. 1 2

B. 2 2

C. 3 2

D.1

8. 已知 (0, ) ,且 sin cos 1 , 则 cos2 的值为 2

A. 7 4

B. 7 4

C. 7 4

D. 3 4

9. 函数 f (x) ln x ax 存在与直线 2x y 0 *行的切线,则实数 a 的取值范围是

A. (,2] B. (,2)

C. (2,) D. (0,)

10. 已知函数 f (x) cos(2x ) 满足 f (x) f (1) 对 x R 恒成立,则

A. 函数 f (x 1) 一定是偶函数 B.函数 f (x 1) 一定是偶函数

C. 函数 f (x 1) 一定是奇函数 D.函数 f (x 1) 一定是奇函数

11.

已知函数

f (x)

ln

x, x1, x2



(0,

1 e

),



x1



x2 则下列结论正确的是

A. (x1 x2 )[ f (x1 ) f (x2 )] 0

B. f ( x1 x2 ) f (x1 ) f (x2 )

2

2

Obvi ousl y, face Chi na's Socialist system, the Communist Party is not the party. In t hat cas e, political cha os has been very t ig ht. Is rem odeli ng or re construction, is a corre ction or a st ove. Whether to tur n right or left, is ba ck to the source or put forward new political i deas .

This is to determine the r oad probl ems in Chi na, is al so t he key out of the deep water of the reform of the economi c system.

After 18, the new Central colle ctive leader shi p attache s great importa nce t o political orientati on.

implement the Constitution, stres sed the nee d to tur n off the power in a cage. Als o stresse s that Ma o Zedong thought cannot b e lost, 3 0 years after the reform and ope ning up 30 year s ago ca n not deny ea ch othe r. Both adv ocate democracy and releas e "seven does not s peak of" files of political constraint s. Neit her de ny the history of the CPC Central Committee on several iss ues . ..

Comrades : today brings t ogether member s, mainly in order to provi de a platform to Exchange a nd lear n from each other i n order t o facilitate our work. Just now, we focus on taxation, pla nni ng and stabilit y, safety, proje ct constr uction, typi cal topics such as private facts prese ntation and interacti on, and towns currently exist in the in -de pth a nalysis of the problems to be s olved, to ex plore new methods t o solve t he pr oblem. It can be sai d that summing up t he achievement, no grandstanding ; analy sis

First, the "Central eight articl es" as a starting poi nt, starting from the Ce ntral Governme nt's self -re straint, which prea ches and pro -image, br oug ht fresh feeling t o the com munity.

Secondl y, before reform a nd ope ning up a nd reform a nd ope ning tw o peri ods after non-negative, untying the tangle of the society a l ong time on thi s iss ue. T hird, a new ge neration of part y leaders on various oc casions t o Mao Ze -D ong a nd Mao Ze -Dong's thoug ht of evaluati on has room for manoeuvre, t hroug h to t he ruli ng ide ology of Mao Ze dong thought, i s the call of the soul to the Soci alist Revoluti on a nd construction. Empty talks j eopardize national interest s and try again, is an affirmation of De ng Xia o-ping' s reform ideas .

These strong politi cal sig nal s howi ng a ne w generati on of politi cal leaders is sti ll keepi ng to the Soci alist roa d.

Four is revisiting t he "talking to M ao Ze -Dong's histori cal cy cle of" high profile a nti-corr uption and the importa nce of the Constituti on, reorgani zation is ba d style of officialdom, was to civilize pe ople obey t he la w, while improv i ng the col or change of the regime of vigila nce.

Five is to reform into de eper water s and stress ed that t op -level de sign, t his is a review on the reform a nd ope ning up i n the past, is also l ooking for a way out.

Six foreign and Russia clos er, t he flexible attitude on the iss ue of the Korea n peni nsul a, Sino-Japanes e fishi ng har dline Chi na on the isla nd out of the "pati ent" and low profile s hadow began to gra dually plan devel opment . Signs show that the new leader ship bega n to make a left turn in politics.

However, as of right now, not only i de ological confusi on i n the community, t he new leadershi p's thinki ng is mess y. New leaders both stres sed t he need t o

promotion of empl oyment, form a reas ona ble and or derly pattern of income distri buti on, buil d a more fair and sustaina ble s ocial security systems, medi cal and he alth system reform. The ple nary, i nnovation of social gover nance, must focus on t he mainte nance of fundamental i nterests of the ove rwhelming maj ority of the pe opl e, maximize factors, e nha nce social development, impr oving s ocial g overna nce , the intere sts of national s ecurity, e nsure t hat the people live and w ork, social sta bility and order.

To improve soci al governa nce, stimulati ng social orga nization, innovative a nd ef fective system of preventing a nd re solvi ng social conflict s, improvi ng the publ ic se curity sy stem, set up the Nati ona l Security Co uncil, nati onal security systems a nd nati ona l security strategy to ensure national se curity. Ple nary ses sion, the construction of ecologi cal civili zation, you m ust establi sh s ystems of ecol ogical sy stem, usi ng the system to prote ct the ecologi cal e nvironme nt.

Zedong t hought by De ng Xia o-ping' s flag, repla ced by t hree repre sentatives a nd t he harmonic society.

The former Communist Party s pirit and social cohe sion point of almost all politi cal makeover. Chara cteristics of sociali sm public owner shi p is s hifting to private ow ners hip, planne d regulati on and market regulation, the proletaria n regime controlle d by the elite. Of universal e qualit y, fairnes s and basi c pri nci ples of di stribution system is socialist s ociety, however after economic monopolize d by powerful , vested intere sts grow, employer s do not have the same stat us, hardly se ems fair socia l distri buti on.

State key protection of capital i nterests rather than the i nterests of citi zens, ha d bee n hits t he bott om of the prol etariat

To improve nat ural resource s asset property right system and use control, red li ne of delimitation of ecol ogica l prote ction, resource s pai d use system and ecological com pensation system in e col ogical e nvir onment protecti on ma nagement system reform. Ple nary se ssion, centeri ng on buil ding a li steni ng party command, can win a nd havi ng a fine style of the pe opl e's army, a stro ng army under the new sit uation of the party Goal s, restricti ng the development of nati onal defens e and army buil ding is s olved outstanding contra dicti ons a nd problems, innovati on a nd development of military the ory, e nhance military strategic gui dance, im pr ove the military strategy in t he new peri od, buil ding a moder n military force system with Chi nese chara cteristics.

To deepen t he adj ustment of personnel system reform in the army, military policy a nd sy stem reform, promote the devel opment of military and civilian i ntegration dept h. Pl enary se ssi on stres sed t hat com prehe nsive reform must be to stre ngthe n and improve the party's lea ders hip, give full play to the core role of the party commands the overall s ituation and coordi nating all parties, im proving t he party's lea ding water ... Margi n. Challe nged the l eaders hip of the Communist Party of Chi na, Marxism -Leninism and Mao

C. x1 f (x2 ) x2 f (x1 )

D. x2 f (x2 ) x1 f (x1 )

12. 已 知 函 数 f (x) 满 足 f (x 1) f (x) , 且 f (x) 是 偶 函 数 , 当 x [0,1] 时 ,

f (x) x2 ,若在区间[-1,3]内,函数 g(x) f (x) kx k 有 4 个零点,则实数 的

取值范围是

A.[1 , 1) 43

B. (0, 1 ) 2

C. (0, 1 ] 4

D. (1 , 1) 32

2cos2 x sin x 1

(Ⅱ)若 f (x) 0 ,求

2 2 sin(x )

的值。

4

19.(本小题满分 12 分)

有两个投资项目 A 、 B ,根据市场调查与预测,A 项目的利润与投资成正比,其关系如

图甲,B 项目的利润与投资的算术*方根成正比,其关系如图乙.(注:利润与投资单位:万

元)

第Ⅱ卷

本卷包括必考题和选考题两部分.第 13 题~第 21 题为必考题,每个试题考生都必须做 答.第 22 题~第 24 题为选考题,考生根据要求做答. 二、填空题:本大题共 4 小题,每小题 5 分.

13. 已知函数 f (x) a log 2 x 的图象经过点 A(1,1),则不等式 f (x) 1的解集为______.

14. 已知 为钝角,且 cos( ) 3 ,则



2

5

15. 设 a 1 ,则当 y a x 与 y log a x 两个函数图象有且只有一个公共点时, ln ln a __________.

2x 2, x 1

16.

函数

f (x)

x2

4x 3, x

的图象与函数 g(x) ln(x 1) 的图象的公共点个数是 1

个。

三、解答题:解答应写出文字说明.证明过程或演算步骤

17.(本题满分 12 分)

已知函数 f (x) x3 1 x2 bx c 。 2
(Ⅰ)若 f (x) 在 (,) 是增函数,求 b 的取值范围; (Ⅱ)若 f (x) 在 x 1时取得极值,且 x [1,2] 时, f (x) c2 恒成立,求 c 的取值范围。
18.(本题满分 12 分)
已知函数 f (x) 2 3 sin x 2cos x (Ⅰ)若 x [0, ] ,求 f (x) 的最大值和最小值;

(1)分别将 A、B 两个投资项目的利润表示为投资 x(万元)的函数关系式;

(2)现将 x(0 x 10) 万元投资 A 项目, 10-x 万元投资 B 项目.h(x)表示投资 A 项目所得

利润与投资 B 项目所得利润之和.求 h(x)的最大值,并指出 x 为何值时,h(x)取得最大值.

20.(本题满分 12 分)

若函数 f (x) sin2 ax sin axcosax(a 0) 的图象与直线 y m(m 为常数)相切,并且

切点的横坐标依次成等差数列,且公差为 2
(I)求 m 的值;

(Ⅱ)若点

A(x0, y0 ) 是

y



f

(x) 图象的对称中心,且 x0

[0, ],求点 A 的坐标. 2

21.(本题满分 12 分)

已知函数 f (x) x(a ln x) 有极小值 e2 .

(Ⅰ)求实数 a 的值;

(Ⅱ)若 k Z ,且 k f (x) 对任意 x 1恒成立,求 k 的最大值; x 1

Obvi ousl y, face Chi na's Socialist system, the Communist Party is not the party. In t hat cas e, political cha os has been very t ig ht. Is rem odeli ng or re construction, is a corre ction or a st ove. Whether to tur n right or left, is ba ck to the source or put forward new political i deas .

This is to determine the r oad probl ems in Chi na, is al so t he key out of the deep water of the reform of the economi c system.

After 18, the new Central colle ctive leader shi p attache s great importa nce t o political orientati on.

implement the Constitution, stres sed the nee d to tur n off the power in a cage. Als o stresse s that Ma o Zedong thought cannot b e lost, 3 0 years after the reform and ope ning up 30 year s ago ca n not deny ea ch othe r. Both adv ocate democracy and releas e "seven does not s peak of" files of political constraint s. Neit her de ny the history of the CPC Central Committee on several iss ues . ..

Comrades : today brings t ogether member s, mainly in order to provi de a platform to Exchange a nd lear n from each other i n order t o facilitate our work. Just now, we focus on taxation, pla nni ng and stabilit y, safety, proje ct constr uction, typi cal topics such as private facts prese ntation and interacti on, and towns currently exist in the in -de pth a nalysis of the problems to be s olved, to ex plore new methods t o solve t he pr oblem. It can be sai d that summing up t he achievement, no grandstanding ; analy sis

First, the "Central eight articl es" as a starting poi nt, starting from the Ce ntral Governme nt's self -re straint, which prea ches and pro -image, br oug ht fresh feeling t o the community.

Secondl y, before reform a nd ope ning up a nd reform a nd ope ning tw o peri ods after non-negative, untying the tangle of the society a l ong time on thi s iss ue. T hird, a new ge neration of part y leaders on various oc casions t o Mao Ze -D ong a nd Mao Ze -Dong's thoug ht of evaluati on has room for manoeuvre, t hroug h to t he ruli ng ide ology of Mao Ze dong thought, i s the call of the soul to the Soci alist Revoluti on a nd construction. Empty talks j eopardize national interest s and try again, is an affirmation of De ng Xia o-ping' s reform ideas .

These strong politi cal sig nal s howi ng a ne w generati on of politi cal leaders is sti ll keepi ng to the Soci alist roa d.

Four is revisiting t he "talking to M ao Ze -Dong's histori cal cy cle of" high profile a nti-corr uption and the importa nce of the Constituti on, reorgani zation is ba d style of officialdom, was to civilize pe ople obey t he la w, while improvi ng the col or change of the regime of vigila nce.

Five is to reform into de eper water s and stress ed that t op -level de sign, t his is a review on the reform a nd ope ning up i n the past, is also l ooking for a way out.

Six foreign and Russia clos er, t he flexible attitude on the iss ue of the Korea n peni nsul a, Sino-Japanes e fishi ng har dline Chi na on the isla nd out of the "pati ent" and low profile s hadow began to gra dually plan devel opment . Signs show that the new leader ship bega n to make a left turn in politics.

However, as of right now, not only i de ological confusi on i n the community, t he new leadershi p's thinki ng is mess y. New leaders both stres sed t he need t o

promotion of empl oyment, form a reas ona ble and or derly pattern of income distri buti on, buil d a more fair and sustaina ble s oci al security systems, medi cal and he alth system reform. The ple nary, i nnovation of social gover nance, must focus on t he mainte nance of fundamental i nterests of the ove rwhelming maj ority of the pe opl e, maximize factors, e nha nce social development, impr oving s ocial g overna nce , the intere sts of national s ecurity, e nsure t hat the people live and w ork, social sta bility and order.

To improve soci al governa nce, stimulati ng social orga nization, innovative a nd ef fective system of preventing a nd re solvi ng so cial conflict s, improvi ng the publ ic se curity sy stem, set up the Nati ona l Security Council, nati onal security systems a nd nati ona l security strategy to ensure national se curity. Ple nary ses sion, the construction of ecologi cal civili zation, you m ust establi sh s yst ems of ecol ogical sy stem, usi ng the system to prote ct the ecologi cal e nvironme nt.

Zedong t hought by De ng Xia o-ping' s flag, repla ced by t hree repre sentatives a nd t he harmonic society.

The former Communist Party s pirit and social cohe sion point of almost all politi cal makeover. Chara cteristics of sociali sm public owner shi p is s hifting to private ow ners hip, planne d regulati on and market regulation, the proletaria n regime controlle d by the elite. Of universal e qualit y, fairnes s and basi c pri nci ples of di stribution system is socialist s ociety, however after economic monopolize d by powerful , vested intere sts grow, employer s do not have the same stat us, hardly se ems fair socia l distri buti on.

State key protection of capital i nterests rather than the i nterests of citi zens, ha d bee n hits t he bott om of the prol etariat

To improve nat ural resource s asset property right system and use control, red li ne of delimitation of ecol ogica l prote ction, resource s pai d use system and ecological com pensation system in e col ogical e nvir onment protecti on ma nagement system reform. Ple nary se ssion, centeri ng on buil ding a li steni ng party command, can win a nd havi ng a fine style of the pe opl e's army, a strong army under the new sit uation of the party Goal s, restricti ng the development of nati onal defens e and army buil ding is s olved outstanding contra dicti ons a nd problems, innovati on a nd development of military the ory, e nhance military strategic gui dance, impr ove the military strategy in t he new peri od, buil ding a moder n military force system with Chi nese chara cteristics.

To deepen t he adj ustment of personnel system reform in the army, military policy a nd sy stem reform, promote the devel opment of military and civilian i ntegration dept h. Pl enary se ssi on stres sed t hat com prehe nsive reform must be to stre ngthe n and improve the party's lea ders hip, give full play to the core role of the party commands the overall s ituation and coordi nating all parties, im proving t he party's lea ding water ... Margi n. Challe nged the l eaders hip of the Communist Part y of Chi na, Marxism -Leninism and Mao

请考生在第 22、23、24 三题中任选一题做答,如果多做,则按所做的第一题记分.答时 用 2B 铅笔在答题卡*阉√饽康奶夂磐亢.

22.(本小题满分 10 分) 选修 4—1;几何证明选讲.

如图,已知 PE 切⊙ O 于点 E,割线 PBA 交⊙ O 于 A、B 两点,

∠APE 的*分线和 AE、BE 分别交于点 C、D.求证:

(Ⅰ) CE DE ;

(Ⅱ) CA PE . CE PB
23.(本小题满分 10 分)选修 4—4;坐标系与参数方程.

在直角坐标系中,以原点为极点,x 轴的正半轴为极轴建立极坐标系,已知曲线



C

:

p sin2



2a cos (a



0)

过点

P(-2,-4)的直线 l

:

x



2

2 t, 2 (t 为参数)与曲线 C 相



y



4



2t 2

交于点 M,N 两点 .

(Ⅰ)求曲线 C 和直线 l 的普通方程;

(Ⅱ)若|PM|,|MN|,|PN |成等比数列,求实数 a 的值

24.(本小题满分 10 分)选修 4—5;不等式选讲.

已知函数 f (x) | 2x a | | x 1| .

(Ⅰ)当 a = 3 时,求不等式 f (x) 2 的解集;

(Ⅱ)若 f (x) 5 x 对 x R 恒成立,求实数 a 的取值范围.

Obvi ousl y, face China's Socialist system, the Communist Party is not the party. I n that ca se, political chaos has been very tight. Is remodeling or reconstr uction, is a corre ction or a stove . Whether to t urn right or left, is back t o the s ource or put forward new political i deas.

This is to determine the road probl ems in China , is als o the key out of the deep water of the reform of the economic system.

After 18, the new Ce ntral coll ective lea dership attaches great importa nce t o political or ientation.

First, the "Central eight articles" as a starting poi nt, starting from the Central Gov ernment's s elf -restraint, w hich prea ches a nd pro -image, br ought fres h feeling to the community.

Secondl y, before reform and openi ng up and reform and ope ning tw o peri ods after non -negative, untyi ng the tangle of the s ociety a long time on this is sue . Third, a new ge neration of party lea ders on various occas ions to Ma o Ze-D ong a nd M ao Ze -Dong's thoug ht of evaluation ha s room for manoeuvre, t hroug h to the r uling i deol ogy of Ma o Zedong thought, i s the ca ll of the s oul to t he Socialist Revoluti on a nd construction. Empty talks jeopardi ze nati onal intere sts and try again, is a n affirmation of Deng Xiao -ping's reform idea s.

These strong political sig nal s howi ng a ne w generation of political lea ders is still keepi ng to the S ociali st road.

implement the Constitution, stres sed the nee d to tur n off the power in a cage. Als o stresse s that Ma o Zedong thought cannot be lost, 3 0 years after the reform and ope ning up 30 year s ago ca n not deny ea ch othe r. Both adv ocate democracy and releas e "seven does not s peak of" files of political constraint s. Neit her de ny t he history of the CPC Central Committee on several iss ues . ..

Four is revisiting the "talking to M ao Ze-Dong's hi storical cycle of" high profil e anti-corr upti on a nd the im portance of the Constituti on, re organization is bad style of officialdom, wa s to civ ilize people obey the la w, while improvi ng the col or cha nge of the regime of vigilance.

高三第一次月考数学(文科)试卷
Comrades : today brings t ogether member s, mainly in order to provi de a platform to Exchange a nd lear n from each other i n order t o facilitate our work. Just now, we focus on taxation, pla nni ng and stabilit y, safety, proje ct constr uction, typi cal topics such as private facts prese ntation and interacti on, and towns currently exist in the in-de pth a nalysis of the problems to be s olved, to ex plore new methods t o solve t he pr oblem. It can be sai d that summing up t he achievement, no grandstanding ; analy sis

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Five is to reform into dee per waters and stres sed that top-level de sign, thi s is a review on the reform and ope ning up in t he past, i s also l ooki ng for a way out.

Six foreign and Rus sia cl oser, the flexible attitude on the i ssue of the Korean peni ns ula, Sino-Ja pane se fishi ng har dline Chi na on the isl and out of the "patient" and low profile s hadow bega n to gradually pla n devel opme nt . Signs s how that the new lea dershi p bega n to make a left turn in politi cs.

However, as of right now, not only ide ologi cal confusion in the community, t he ne w leader shi p's thi nking is mes sy. New lea ders both stres sed the nee d to




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