文档库 最新最全的文档下载
当前位置:文档库 › 高三数学填空、选择专项训练(一)

高三数学填空、选择专项训练(一)

高三数学填空、选择专项训练 (一)

班级__________姓名____________学号 成绩____________

1

____________=。 2.函数

2

的定义域是

3.已知某等差数列共有10项,其奇数项之和为15,偶数项之和为30,则其公差为

4

.2)y x =≤≤反函数是___________。

5.81

()x x -的展开式中,常数项为 。(用数字作答)

6.已知函数20()20x x f x x x +?=?-+>?,≤,,,

则不等式2()f x x ≥的解集为 7.在△ABC 中,角A 、B 、C 所对的边分别为a 、b 、c ,若()C a A c b c o s c o s 3=-则=A cos 。

8.从6名男生和4名女生中,选出3名代表,要求至少包含1名女生,则不同的选法共有 种。

9.在等比数列{}n a 中,12a =,前n 项和为n S ,若数列{}1n a +也是等比数列,则n S 等于

10.

若一个球的体积为,则它的表面积为 .

11.设常数0a >

,4

2ax ? ?展开式中3x 的系数为32,则2lim()n n a a a →∞++???+=_____ 。 12.当02x π

<<时,函数21cos 28sin ()sin 2x x f x x ++=的最小值为____________。 13.设01a <<,函数2()log (22)x x a f x a a =--,则使()0f x <的x 的取值范围

是_____________。

14.已知1

249a =(a>0) ,则23

log a = .

15.已知正四棱柱的对角线的长为,且对角线与底面所成角的余弦值为

,则该正四棱柱的体积等于_______________。

16.为了得到函数sin(2)6y x π

=-的图象,可以将函数cos 2y x =的图象 ( )

(A )向右平移

6

π个单位长度 (B )向右平移3π个单位长度 (C )向左平移6π个单位长度 (D )向左平移3π个单位长度 17.设0a >,对于函数()sin (0)sin x a f x x x

π+=<<,下列结论正确的是( ) A .有最大值而无最小值 B .有最小值而无最大值

C .有最大值且有最小值

D .既无最大值又无最小值

18.设奇函数()f x 在(0)+∞,上为增函数,且(1)0f =,则不等式

()()0f x f x x

--<的解集为( ) A .(10)(1)-+∞,,

B .(1)(01)-∞-,,

C .(1)(1)-∞-+∞,,

D .(10)(01)-,,

19.在ABC ?中,已知tan sin 2

A B C +=,给出以下四个论断:

①tan cot 1A B ?=;②0sin sin A B <+;

③22sin cos 1A B +=; ④222cos cos sin A B C +=;其中正确的是 ( )

(A )①③ (B )②④ (C )①④ (D )②③

20. 已知等比数列()n a 中21a =,则其前3项的和3S 的取值范围是( )

(A)(],1-∞- (B)()

(),01,-∞+∞ (C)[)3,+∞ (D)(][),13,-∞-+∞.

高三数学填空、选择专项训练(十)答案

1、i

2、(

1

3

-,1) 3、3 4、]1,0[

,1

12∈

+

-

=x

x

y5、70 6、[]11

-,

78、100 9、2n10、12π11、112、4 13、3

log

a

x<

14、4 15、216、B 17、B 18、D19、B 20、D

中考英语单项选择题专项训练题附答案

初中英语中考单项选择题专项训练250题(附答案) ( ) is ____used and ______ people are interested in it. A wide, many more B. widely, a lot more C. wide, more D. widely, much more ( )2、---- What would you like to drink ---- It doesn’t matter. ________ will do . A. Nothing B. Everything C. Something D. Anything ( )3、This question is very difficult . _______ people can understand it. A. Little B. A few C. Few D. A little ( )4.、After entering the WTO, _______ foreigners will come to our country for business. A. some B. fewer C. all D. more ( )5、---- The exam was very easy, wasn’t it ---- Yes, but I don’t think _______ could pass it. A. somebody B. any body C. nobody D. everybody ( )6、The population of Shanghai is larger than __________ of Hangzhou. A. one B. it C. what D. that ( )7、There is only _______ walk from my home to school. A. five minutes B. five minutes’ C. five minute D. fifth minute’s ( )8、Wang Qiang is a _________ boy. A. five-year-old B. five year old C. five-years-old D. five years old ( )9、The boy was born______ the night of May 20,1999. A. at B. on C. in D. doing ( )10、I’ve been here ___ 3 o’clock. That means I have stayed here ___ an hour and a half. A. at ;since B. at; for C. since; for D. since; since ( )11、English is as _________ as Chinese. You should learn it well. A. important B. more important C. the most important D. much more important ( )12、We’ve never seen _________ flower before. A. such a beautiful B. such beautiful C. so a beautiful D. so beautiful ( )13、You must wear glasses. They can keep your eyes ________. A. save B. safe C. safely D. to save ( )14、Would you please speak _______ I still can’t follow you. A. slow B. much slow C. much slowly D. more slowly ( )15、---- What was the weather like yesterday ---- It was terrible. It rained _______. People could _______ go out. A. hard; hard B. hardly; hard C. hardly; hardly D. hard; hardly ( )16. There are few _______ in the fridge. Let’s go and buy some peas, carrots and cabbages. A. vegetables B. fruit C. meat D. eggs ( )17. This room is __________. A. B ill and David’s B. Bill’s and David’s C. Bills and David’s D. Bill and David

(完整word版)高三理科数学选择题填空题专项训练

高三理科数学限时训练 一、选择题(本大题共10小题,每题5分,共50分.每题都给出四个结论,其中有且只有一个 结论是正确的.) 1. 复数z 满足(2)z z i =+,则z =( ) A .1i + B .1i - C .1i -+ D .1i -- 2. 已知实数a ≠0,函数2,1()2,1x a x f x x a x +

高三理科数学函数选择填空题精选精练

高三数学复习函数选择填空题 一、选择题 1.下列四个函数中,既是奇函数又在定义域上单调递增的是( ) A .()ln f x x = B .()2sin f x x x =+ C .1 ()f x x x =+ D .()x x e f e x -=+ 2.已知函数()222,0 2,0 x x x f x x x x ?+≥=?-> B .b a c >> C .a b c >> D .c a b >> 4 .已知函数3()),f x x x =-则对于任意实数,(0)a b a b +≠,则 ()() f a f b a b ++的值为( ) A .恒正 B .恒等于0 C .恒负 D .不确定 5.已知2 4()2,()f x x px q g x x x =++=+是定义在集合5 {|1}2 M x x =≤≤上的两个函数.对任意的x M ∈, 存在常数0x M ∈,使得0()()f x f x ≥,0()()g x g x ≥,且00()()f x g x =.则函数()f x 在集合M 上的最大值为( ) A . 92 B .4 C .6 D .89 2 6.已知函数)(x f y =)(R x ∈满足(2)2()f x f x +=,且[1,1]x ∈- 时,()1f x x =-+,则当[10,10]x ∈-时, )(x f y =与4()log g x x =的图象的交点个数为( ) A .13 B .12 C .11 D .10 7.对定义域为D 的函数,若存在距离为d 的两条平行直线11:m kx y l +=和22:m kx y l +=,使得当D x ∈时, 21)(m kx x f m kx +≤≤+恒成立,则称函数)(x f 在(x ∈D )有一个宽度为d 的通道。有下列函数: ①)(x f =1x ;②x x f sin )(=;③1)(2-=x x f ;④1)(3 +=x x f 。其中在[1,+∞)上通道宽度为1的函数 是( ) A .①③ B .②③ C .①④ D .②④ 8.已知函数log (2)a y x =-是x 的减函数,则a 的取值范围是( ) A .(0,2) B .(0,1) C .(1,2) D .),2(+∞ 9.关于x 的函数)2(log 22 1a ax a y +-=在[)1,+∞上为减函数,则实数a 的取值范围是( ) A .(-∞,-1) B .(-∞,0) C .(1-,0) D .(0,2] 10.函数),(4sin )(3 2 2 R b a bx x a x f ∈++=,若2013)2014 1 (lg =f ,则(lg 2014)f =( ) A .2018 B .-2009 C .2013 D .-2013 11.已知函数() 2014sin (01) (),log 1x x f x x x π?≤≤?=?>??若c b a 、、互不相等,且)()()(c f b f a f ==,则c b a ++的取值范 围是( ) A .(1,2014) B .(1,2015) C .(2,2015) D .[2,2015] 12.函数()()() ???≥<+-=1log 13822x x x ax x x f a 满足对任意0) ()(,2 12121<--≠x x x f x f x x 都有,则a 的取值范围( ) A .??? ??21,0 B. )1,21 [ C .??????85,21 D .?? ? ???1,85 13.设() ()13.0log ,3.0,2223.0>+===x x c b a x ,则c b a ,,的大小关系是( ) A .c b a << B .c a b << C .a b c << D .a c b << 14.已知函是9 ()41 f x x x =-+ +,(0,4)x ∈,当x a =时,()f x 取得最小值b ,则在直角坐标系中函数||1 ()()x b g x a +=的图像为( ) 15.定义域为R 的偶函数)(x f 满足对任意x R ∈,有)1()()2(f x f x f -=+,且当]3,2[∈x 时, 18122)(2-+-=x x x f ,若函数)1|(|log )(+-=x x f y a 在),0(+∞上至少有三个零点,则a 的取值范围是 ( ) A .)22, 0( B .)33,0( C .)5 5 ,0( D .)6 6 , 0(

高三数学填空、选择专项训练(一)

高三数学填空、选择专项训练(一) 班级_____________姓名________________成绩_____________ 1、已知集合{}{}Z n n x x B x x x A ∈+==<--=),13(2,012112, 则=B A ___________. 2、已知函数]3,1[,42∈-=x ax x y 是单调递增函数,则实数a 的取值 范围是_________________ 3、已知函数1)(-=x a x f 的反函数的图象经过点(4,2)则)2(1-f 的值为__________. 4、在复数集上,方程0222=++x x 的根是___________________. 5、已知5 3)4cos(=+x π , 则x 2sin 的值为 。 6、命题“若B A x ∈,则A x ∈或B x ∈”的逆否命题是 _______________________________________________________ 7、在ABC ?中,已知sinA:sinB:sinC=3:5:7,则ABC ?中最大角的值是_________ 8、已知b a bx ax x f +++=3)(2是偶函数,定义域为]2,1[a a -,则b a += 9、方程P 412+n =140P 3n 的解为 10、在n b a )(+的二项展开式中,第二项与倒数第二项系数之和为14, 则自然数n= . 11、设函数()()()x a x x x f ++=1为奇函数,则实数=a 。 12、已知sin α=,则44sin cos αα-的值为 13、设函数y=f(x)的图象关于直线x=1对称,若当1≤x 时12+=x y ,

(完整版)小学英语选择题专项训练

PEP小学英语总复习——选择题专项训练题 1.You can play _____the clean dog after class. A.with B. in C. at 2.Is your mother ______Huizhou? Yes, she is. A.live B. goes to C. visiting 3.Where _____you this morning? I _____at a meeting. A.were, was B.are, am C.do, am 4.Her brother is a policeman. He works in a _____ A.post office B.police station C.office 5.What’s the weather like today? It’s________ A.rain B.windy C.sun 6.Were you _____ Canada during the summer holiday? A.in B. on C. at 7.Are you ______a good time ? A.have B.has C. having 8.What do you have _____lunch? A.in B. for C.at 9.Tom and Mary have bread and milk___the morning. A.in B. on C. at 10.Does it ____in Guangzhou? A. raining B.rains C.rain 11.The bank is _____my uncle’s home. A. next to B.in C.to 12.How many _____are there under the tree? A. man B. women C. woman 13.Is you r bag big ____small? A. and B. or C. an 14.______does Ben go to school? By bus. A. How B.What C.Where 15.______is that? That’s my cousin. A.Who B. What C.Whose 16. I usually ride the bike after school ______Mondays. A.on B. in C.at 17. Is your mother strong ____weak? A. and B. or C. but 18. I get up ____7:00 every morning. A. in B. on C.at 19.My friend likes ______ A.running and swimming B. cook and sing C.run and dance 20.Tom is ______than Ben. A. heavy B. heavyer C.heavier 21.Tony is 14, Jim is 15.Tony is ______than Jim. A.younger B. bigger C. older 22.______is your birthday? A. Where B. When C. What 23.______is that? That’s Tom’s mother. A.What B. Whose C. Who 24. Is your mother ______? Yes, she is. A. cook B. cooks C. cooking

初三数学一模填空选择专项练习

一、选择题:(本大题共6题,每题4分,满分24分) 1.二次函数1)1(2 -+=x y 图象的顶点坐标是 A .(1,1); B .(1,-1); C .(-1,1); D .(-1,-1). 2.已知Rt △ABC 中,∠C =90o,那么 b c 是∠B 的 A .正切; B .余切; C .正弦; D .余弦. 3.已知线段a 、b ,且 3 2 =b a ,那么下列说法错误的是 A .a =2cm ,b =3cm ; B . a =2 k ,b =3 k (k >0); C .3a =2b ; D .b a 3 2 =. 4.下列语句错误的是 A .如果0=k 或0a =,那么0=a k ρ ; B .如果m 、n 为实数,那么a mn a n m )()(=; C .如果m 、n 为实数,那么n m n m +=+)(; D .如果m 、n 为实数,那么m m m +=+)(. 5.如果点D 、E 分别在△ABC 边AB 、AC 的反向延长线上,一定能推出DE ∥BC 的条件是 A . AC AE BC DE = ; B .AC AD AB AE =; C .AE AC AD AB =; D .BD AD CE AC = . 6.下列图形中一定相似的一组是 A .邻边对应成比例的两个平行四边形; B .有一个内角相等的两个菱形; C .腰长对应成比例的两个等腰三角形; D .有一条边相等的两个矩形. 二、填空题:(本大题共12题,每题4分,满分48分) 7.已知 31=y x ,那么y x x += ▲ . 8.计算:?-?30cot 60sin = ▲ . 9.上海与南京的实际距离约350千米,在比例尺为1:5 000 000的地图上,上海与南京的 图上距离约 ▲ 厘米. 10.一斜面的坡度75.0:1=i ,一物体由斜面底部沿斜面向前推了10米, 那么这个物体升高了 ▲ 米. 11.请写出一个开口向上,且经过点(0,-1)的抛物线解析式: ▲ (只需写一个). 12.已知抛物线122 -+-=x x y ,它的图像在对称轴 ▲ (填“左侧”或“右侧”)的 部分是下降的. 13.若抛物线92 +-=bx x y 的对称轴是y 轴,那么b 的值为 ▲ . A 1 D B 第17题图

高三数学选填专项训练

高三数学选填专项训练 -CAL-FENGHAI-(2020YEAR-YICAI)_JINGBIAN

江陵县实验高中2014届毕业生高三数学选填训练12 1.是虚数单位,复数 (2) 12i i i +-= A .i B .i - C .1 D . 2. 给出下列三个结论: (1)若命题p 为假命题,命题q ?为假命题,则命题“q p ∨”为假命题; (2)命题“若0xy =,则0x =或0y =”的否命题为“若0xy ≠,则0x ≠或 0y ≠”; (3)命题“,20x x ?∈>R ”的否定是“ ,20x x ?∈≤R ”.则以上结论正确的个 数为 A .3 B .2 C .1 D .0 3.若1 1 1 (1),(1),(sin 1)x a x dx b e dx c x dx =-=-=-???,则 A .a b c << B .b c a << C .c a b << D .a c b << 4.设正项等比数列 {} n a 的前n 项和为 n S ,公比为q ,若 223,15,63 k k k S S S -+===,则q = A .2- B .2 C .4- D .4 5.函数的最小正周期是,若其图象向右平移 6 π 个单位后得到的函数为奇函数,则函数的图象 A 关于点对称B 关于直线对称C 关于点)0,6(π对称D 关于直线 对称 6.已知向量,,且,若实数满足不等式 ,则实数的取值范围为 A .[-3,3] B . C . D . i 1-()()sin 0,2f x x πω?ω?? ?=+>< ???π()f x ,012π?? ??? 12x π=6 π = x ()3,z x a +=()z y b -=,2b a ⊥y x ,1≤+y x z [] 2,2-[]1,1-[]2,2-

七年级英语完形填空与语法选择专项训练

七年级英语完形填空与语法选择专项训练 完形填空(共30小题;每小题1分,满分30分) 通读下面短文,然后从下面四个答案总选择一个符合文章意思和语法的正确选项。 A From Monday to Friday, most people are busy working or studying. But in the evenings and weekends, they are__1__ and enjoy themselves. Some watch television or go to the cinema, others__2__sports, this is decided by their own interests. There are many different ways to spend our free time. Almost everyone has some kind of hobby. For example, someone likes__3__ stamps. Some hobbies are very expensive, but others don't cost anything__4__. Some collections are worth a lot of money, others are valuable(有价值的) only to their owners. I know a man who has a coin collection worth several thousand dollars. A short time__5__, he bought an unusual fifty-cent piece which __6__ him $250! He was very happy about it and thought the price was all right. And my youngest brother Tom, he collects__7__. He has almost 600 of them, but I wonder if they are worth any money. __8__, to my brother, they are quite valuable__9__ makes hin happier than to find a new match box for his collection. That's what a hobby means, I think. It is something we__10__ doing in our free time. The value in dollars is not important, but the pleasure it gives us is. ( )1. A. lucky B. clever C. funny D. free ( )2. A. think about B. join C. take part in D. take care of ( )3. A. collecting B. getting C. printing D. making ( )4. A. first of all B. at all C. of all kinds D. in all ( )5. A. after B. ago C. before D. last ( )6. A. spend B. took C. cost D. waste ( )7. A. stamps B. match boxes C. pens D. model planes ( )8. A. So B. However C. Because D. Whether ( )9. A. Nothing B. Everything C. Anything D. Something 1

初中英语动词时态选择及填空专项练习(附答案)

初中英语动词时态选择及填空专项练习(附答案)

初中英语动词时态专项练习题 用括号中动词的适当的形式填空。 1.The boy is happy because he ___________(sell) out all the newspapers. 2.The plan _____________(give) up because of rain. 3.If it __________(not rain) tomorrow, we ____________(go )fishing. 4.Where ____________you____________(be) these days? 5.Where is Tom? He _________(go) to the post office. He said he _________(come) back soon. 6.Mike says he _________(want )to be a worker after he _________ (finish )school. 7.The last bus ____________just ________(leave) when they ________(get) to the bus stop. 8.She _________(not go) to bed until she _______(finish) her work. 9.Light ___________(travel )much faster than sound. 10.I __________(feel) much better after I _______(take) the medicine. 11.”Where ________we________(meet)?” “Let’s meet outside the park gate.” 12.I_________(be) afraid Mr Johnson __________(not visit) out school tomorrow. 13.I _________(lost) my bike ._________you _________(see) it anywhere? 14.________this kind of car __________(produce) in Shanghai?

2020高考数学选择、填空题,高考考情与考点预测

高考数学历年考点框架 理科数学每年必考知识点: 复数、程序框图、三视图、函数与导数、三角函数、圆锥曲线、球的组合体、(计数原理、概率与统计模块)等。 理科数学每年常考的知识点: 常用逻辑用语、集合、线性规划、数列、平面向量、解三角形、定积分、直线与圆等。 最后冲刺指导(14个专题) 1、集合与常用逻辑用语小题 (1)集合小题 历年考情: 针对该考点,近9年高考都以交并补子运算为主,多与解不等式等交汇,新定义运算也有较小的可能,但是难度较低;基本上是每年的送分题,相信命题小组对集合题进行大幅变动的决心不大。 常见集合元素限定条件;对数不等式、指数不等式、分式不等式、一元二次不等式、绝对值不等式、对数函数的定义域、二次根式、、点集(直线、圆、方程组的解);补集、交集和并集;不等式问题画数轴很重要;指数形式永远大于0不要忽记;特别注意代表元素的字母是还是。 2020高考预测:

(2)常用逻辑用语小题 历年考情: 9 年高考中2017 年在复数题中涉及真命题这个概念.这个考点包含的小考点较多,并且容易与函数,不等式、数列、三角函数、立体几何交汇,热点就是“充要条件”;难点:否定与否命题;冷点:全称与特称(2015 考的冷点),思想:逆否.要注意,这类题可以分为两大类,一类只涉及形式的变换,比较简单,另一类涉及命题真假判断,比较复杂。 简单叙述:小范围是大范围的充分不必要;大范围是小范围的必要不充分。 2020高考预测:

2、复数小题 历年考情: 9 年高考,每年1 题,考查四则运算为主,偶尔与其他知识交汇,难度较小.考查代数运算的同时,主要涉及考查概念有:实部、虚部、共轭复数、复数的模、对应复平面的点坐标、复数运算等。 无法直接计算时可以先设z=a+bi 2020高考预测: 3、平面向量小题 历年考情:

高三数学选填专项训练

江陵县实验高中2014届毕业生高三数学选填训练1 一、选择题:本大题共10小题,每小题5分,共50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.已知,为虚数单位,且,则的值为 ( ) A .4 B .4+4 C . D .2 2.设集合A ={4,5,7,9},B ={3,4,7,8,9},全集U = A ?B ,则集合)(B A C U ? 的真子集共有 A .3个 B .6个 C .7个 D .8个 3.要得到函数)4 2sin(π + =x y 的图象,只要将函数x y 2cos =的图象( ) A .向左平移单位 B .向右平移单位 C .向右平移单位 D .向左平移单位 4.半径为R 的球的内接正三棱柱的三个侧面积之和的最大值为( ) A 、2 33R B 、2 3R C 、2 22R D 、2 2R 5.已知数据123 n x x x x ,,,,是某市n * (3 )n n N ≥∈,个普通职工的2013年的年收入,设这 n 个数据的中位数为x ,平均数为y ,方差为z ,如果再加上比尔.盖茨的2013年的年收入 1n x +(约900亿元) ,则这1n +个数据中,下列说法正确的是( ) A .年收入平均数大大增大,中位数一定变大,方差可能不变 B .年收入平均数大大增大,中位数可能不变,方差变大 C .年收入平均数大大增大,中位数可能不变,方差也不变 D .年收入平均数可能不变,中位数可能不变,方差可能不变。 6.在各项均为正数的等比数列}{n a 中,2 475314))((a a a a a =++,则下列结论中正确的是( ) A .数列}{n a 是递增数列; B .数列}{n a 是递减数列; C .数列}{n a 既不是递增数列也不是递减数列; D .数列}{n a 有可能是递增数列也有可能是递减数列. 7.已知实数0,0a b >>,对于定义在R 上的函数)(x f ,有下述命题: ①“)(x f 是奇函数”的充要条件是“函数()f x a -的图像关于点(,0)A a 对称”; ②“)(x f 是偶函数”的充要条件是“函数()f x a -的图像关于直线x a =对称”; ③“2a 是()f x 的一个周期”的充要条件是“对任意的R x ∈,都有()()f x a f x -=-”; ④ “函数()y f x a =-与()y f b x =-的图像关于y 轴对称”的充要条件是“a b =” 其中正确命题的序号是( ) A .①② B .②③ C .①④ D .③④ 8.在边长为1的正三角形ABC 中,BD →=xBA →,CE →=yCA → ,x >0,y >0,且x +y =1, 则CD →·BE →的最大值为 ( ) A .-58 B .-34 C .-32 D .-38 ,x y R ∈i (2)1x i y i --=-+(1) x y i ++i 4-i 4π4 π8π8 π

中考英语单选专项练习题有答案

中考英语单选专项练习 题有答案 文档编制序号:[KK8UY-LL9IO69-TTO6M3-MTOL89-FTT688]

2017年英语中考复习单项选择专项练习 1.—How old is your son —___________. We had a special party for his ___________ birthday last Sunday. A.Nine; ninth B.Nine; nine C.Ninth; nine D.Ninth; ninth 2.—Linda seemed to be ___________ today.What’s the matter —I don’t know.But she said she ___________ yesterday. A.tired; feels sick B.tire; felt sick C.tired; felt ill D.tiring; feeling ill 3.Would you mind ___________ me how ___________ English words A.tell; remember B.telling; remember C.telling; to remember D.tell; remember 4.Beth has a beautiful ___________.Listen! She is singing very well. A.voice B.look C.sound D.smell 5. The food __________ good and _________ well. A. tastes; sells B. is tasted; is sold C. taste; sell D. smell; sold 6. I have some _________ in working out the problem. A. difficulty B. difficulties C. troubles D. difficult 7. There is a wire pole along the road _________ meter. A. about fifty B. every fiftieth C. each fifty D. every 50 8. Southerners _________ rice. A. lives on B. feeds on C. lives on D. feed on 9. —Could I use your bike —Yes, of course you _____.

(完整)高中数学选择填空题专项训练

综合小测1 一、选择题 1.函数y =2x +1的图象是 2.△ABC 中,cos A = 135,sin B =53 ,则cos C 的值为 A. 65 56 B.-6556 C.-6516 D. 65 16 3.过点(1,3)作直线l ,若l 经过点(a ,0)和(0,b ),且a ,b ∈N*,则可作出的l 的条数为 A.1 B.2 C.3 D.多于3 4.函数f (x )=log a x (a >0且a ≠1)对任意正实数x ,y 都有 A.f (x ·y )=f (x )·f (y ) B.f (x ·y )=f (x )+f (y ) C.f (x +y )=f (x )·f (y ) D.f (x +y )=f (x )+f (y ) 5.已知二面角α—l —β的大小为60°,b 和c 是两条异面直线,则在下列四个条件中,能使b 和c 所成的角为60°的是 A.b ∥α,c ∥β B.b ∥α,c ⊥β C.b ⊥α,c ⊥β D.b ⊥α,c ∥β 6.一个等差数列共n 项,其和为90,这个数列的前10项的和为25,后10项的和为75,则项数n 为 ( ) A.14 B.16 C.18 D.20 7.某城市的街道如图,某人要从A 地前往B 地,则路程最短的走法有 A.8种 B.10种 C.12种 D.32种 8.若a ,b 是异面直线,a ?α,b ?β,α∩β=l ,则下列命题中是真命题的为 A.l 与a 、b 分别相交 B.l 与a 、b 都不相交 C.l 至多与a 、b 中的一条相交 D.l 至少与a 、b 中的一条相交

9.设F 1,F 2是双曲线4 2 x -y 2=1的两个焦点,点P 在双曲线上,且1 PF ·2PF =0,则|1 PF |·|2PF |的值等于 A.2 B.22 C.4 D.8 10.f (x )=(1+2x )m +(1+3x )n (m ,n ∈N*)的展开式中x 的系数为13,则x 2的系数为 A.31 B.40 C.31或40 D.71或80 11.从装有4粒大小、形状相同,颜色不同的玻璃球的瓶中,随意一次倒出若干粒玻璃球(至少一粒),则倒出奇数粒玻璃球的概率比倒出偶数粒玻璃球的概率 A.小 B.大 C.相等 D.大小不能确定 12.如右图,A 、B 、C 、D 是某煤矿的四个采煤点,l 是公路,图中所标线段为道路,ABQP 、BCRQ 、CDSR 近似于正方形.已知A 、B 、C 、D 四个采煤点每天的采煤量之比约为5∶1∶2∶3,运煤的费用与运煤的路程、所运煤的重量都成正比.现要从P 、Q 、R 、S 中选出一处设立一个运煤中转站,使四个采煤点的煤运到中转站的费用最少,则地点应选在 A.P 点 B.Q 点 C.R 点 D.S 点 题号 1 2 3 4 5 6 7 8 9 10 11 答案 二、填空题 13.抛物线y 2=2x 上到直线x -y +3=0距离最短的点的坐标为_________. 14.一个长方体共一顶点的三个面的面积分别是2,3,6,这个长方体对角线的长是_________. 15.设定义在R 上的偶函数f (x )满足f (x +1)+f (x )=1,且当x ∈[1,2]时,f (x )=2-x ,则f (8.5)=_________.

高三数学数列选择填空解答资料

高三数学数列强化训练资料 一、选择题 1.已知等差数列{}n a 的前n 项和为n S ,若80S >且90S <,则当n S 最大时n 的值是( ) A .8 B .4 C .5 D .3 2.已知数列{}n a ,{}n b 满足111==b a ,+++∈==-N n b b a a n n n n ,21 1, 则数列{}n a b 的前10项的和为 ( ) A . )14(349- B .)14(3410-. C .)14(319- D .)14(3 1 10- 3.等差数列{}n a 中的40251a a ,是函数1643 1)(2 3-+-=x x x x f 的极值点,则=20132log a ( ) A .2 B .3 C .4 D .5 4.数列{}n a 满足122,1,a a ==并且 1111 (2)n n n n n n n n a a a a n a a a a -+-+??=≥--,则数列{}n a 的第100项为( ) A . 10012 B .5012 C .1100 D .150 5.设函数3 ()(3)1f x x x =-+-,数列{}n a 是公差不为0的等差数列,127()()()14f a f a f a ++???+=,则 127a a a ++???+=( ) A .0 B .7 C .14 D .21 6.等比数列{}n a 共有奇数项,所有奇数项和255S =奇,所有偶数项和126S =-偶,末项是192,则首项1a =( ) A .1 B .2 C .3 D .4 7.已知数列{}n a 是等差数列,151tan 225,13a a a ==,设n S 为数列{(1)}n n a -的前n 项和,则2014S =( ) A .2014 B .2014- C .3021 D .3021- 8.2010年,我国南方省市遭遇旱涝灾害,为防洪抗旱,某地区大面积植树造林,如图,在区域}0,0|),{(≥≥y x y x 内植树,第一棵树在)1,0(1A 点,第二棵树在)1,1(1B 点,第三棵树在)0,1(1C 点,第四棵树在)0,2(2C 点,接着按图中箭头方向,每隔一个单位种一颗树,那么,第2014棵树所在的 点的坐标是( ) A .(9,44) B .(10,44) C .(10.43) D .(11,43) 9.已知正项等比数列{}n a 满足7652a a a =+。若存在两项,m n a a 14a =,则19 m n +的最小值为( ) A . 83 B .114 C .145 D .176 10.已知函数5(4)4(6), ()2(6).x a x x f x a x -? -+≤?=??>? ()0,1a a >≠ 数列{}n a 满足*()()n a f n n N =∈,且{}n a 是单调递增数列,则实数a 的取值范围( ) A .[) 7,8 B .() 1,8 C .()4,8 D .()4,7 11.已知数列{}n a 的通项公式为n a =*()n N ∈, 其前n 项和为n S ,则在数列122014S S 、S 、中,有理数项的项数为( ) A .42 B .43 C .44 D .45 12.在公比大于1的等比数列{}n a 中,3772a a =,2827a a +=,则12a =( ) A .96 B .64 C .72 D .48 13.等差数列{}n a () * n N ∈中,已知15a =,且在前n 项和n S 中,仅当10n =时,10S 最大,则公差d 满足( ) A .5192d - <<- B .15211d -<<- C .1529d << D .51 112 d << 14.数列{}n a 前n 项和为n S ,已知11 3 a =,且对任意正整数m 、n ,都有m n m n a a a +=?,若n S a <恒成立则实 数a 的最小值为( ) A . 12 B .23 C .3 2 D .2 15.已知等差数列{}n a 的前n 项和为S n ,若OB →=a 1OA →+a 2 014OC → ,且A 、B 、C 三点共线(该直线不过点O ),则S 2 014等于( ) A .1 007 B .1 008 C .2 013 D .2 014 16.已知在等差数列{}n a 中2737a a =,10a >,则下列说法正确的是( )

相关文档
相关文档 最新文档