2012河北省专接本数一真题
2012河北专接本数二真题及答案未校对版
河北省2012年普通高校专科接本科教育选拔考试《数学(二)》(财经类、管理类)试卷 (考试时间60分钟)说明:请将答案填写在答题纸的相应位置上,填在其它位置上无效。
一、单项选择题(本大题共10小题,每小题3分,共30分,在每小题给出的四个备选项中,选出一个正确的答案,并将所选项前面的字母填写在答题纸的相应位置上,填写在其它位置上无效) 1、函数)1ln(22-+-+=x e x x y 的定义域为( )A .[-1,2]B (0,2] C. (-1,2] D.],0(+∞2。
极限=-→x xx x 3sin tan lim 0( ) A .—2 B.0 C 。
2 D.33.若函数00021)(1=⎪⎩⎪⎨⎧≥+<⎪⎭⎫ ⎝⎛-=x x ax x x x f x在出连续,则=a ( ) A .e B.e1 C.e D.e1 4。
由方程1=-yxe y 所确定的隐函数)(x y y =的导数=dxdy( )。
A 。
y y e xe 1- B 。
y y e xe -1 C.1-y y xe e D 。
yyxe e -15。
区间( )是函数22x ey -=单调递减的凸区间。
A .)1,(--∞ B.(—1,0) C 。
(0,1)D.(1,∞+)6。
定积分dx x x ⎰-++112311=( ) A .0 B 。
2 C 。
2πD 。
π 7。
函数22y y x z +=在点(2,1)处的全微分12==y x dz=( )A .dy y x xydx )2(22++ B 。
xydy dx y x 2)2(2++ C 。
dy dx 46+ D 。
dy dx 64+8。
幂级数∑∞=⋅-12)2(n n nn x 在区间( )内是收敛的。
A .)21,21(- B 。
)25,23(- C.(0,4) D.(—2,2) 9。
微分方程1-='y y 满足初始条件20==x y的特解是( )A .xce y +=1 B.xe y +=1 C. xe y 2= D 。
2012年考研数学真题及参考答案_数学一_
( A) 1 (B) 1 2
(C) − 1 (D) −1 2
【答案】: (D)
【解析】:设两段长度分别为 x, y ,显然 x + y = 1, 即 y = −x +1,故两者是线性关系,且是负相关,所以
相关系数为-1
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2012年成人高考专升本高等数学一考试真题及参考答案
2012年成人高考专升本高等数学一考试真题及参考答案第一篇:2012年成人高考专升本高等数学一考试真题及参考答案2012年成人高考专升本高等数学一考试真题及参考答案一、选择题:每小题4分,共40分,在每小题给出的四个选项中,只有一项是符合题目要求。
参考答案:A参考答案:C参考答案:D参考答案:A参考答案:B参考答案:D参考答案:C参考答案:B参考答案:A参考答案:B二、填空题:本大题共10小题。
每小题4分,共40分,将答案填在题中横线上。
第11题参考答案:0 第12题设y=sin(x+2),则Y'=_________ 参考答案:cos(x+2)第13题设y=ex-3,则dy=_________.第14题参考答案:5sinx+C 第15题第16题曲线Y=x2-x在点(1,0)处的切线斜率为_________.参考答案:1 第17题设y=x3+2,则y''=__________.参考答案:6x 第18题设z=x2-y,则dz=_________.参考答案:2xdx-dy 第19题过点M(1,2,3)且与平面2x—Y+z=0平行的平面方程为_________.参考答案:2x—y+z=3 第20题参考答案:3π三、解答题:本大翘共8个小题,共70分。
解答应写出推理,演算步骤。
第21题参考答案:第22题参考答案:第23题设函数f(x)=x-1nx,求f(x)的单调增区间.参考答案:第24题参考答案:第25题参考答案:第26题参考答案:第27题设L是曲线y=x2+3在点(1,4)处的切线。
求由该曲线,切线L及y轴围成的平面图形的面积S.参考答案:第28题参考答案:第二篇:2013年成人高考专升本高等数学一考试真题及参考答案2013年成人高考专升本高等数学一考试真题及参考答案一、选择题:每小题4分,共40分,在每小题给出的四个选项中,只有一项是符合题目要求。
参考答案:C参考答案:A参考答案:B参考答案:D参考答案:B参考答案:A参考答案:D参考答案:B参考答案:C参考答案:A二、填空题:本大题共10小题。
2012考研数学一真题及详解
2012年全国硕士研究生统一考试数学一试题及答案一、选择题:共8小题,每题4分,共32分。
下列每题给出的四个选项中,只有一个选项符合题目要求,请将所选项前的字母填在答题纸指定的位置上。
1、曲线221x x y x +=-渐近线的条数( )(A )0; (B )1; (C )2; (D )3。
解:(C ):22211lim lim 1111x x x x x x x→∞→∞++==--,可得有一条水平渐近线1y =;222112lim 1lim 1x x x x x x →→+==∞--,可得有一条铅直渐近线1x =;22111(1)1lim lim lim 1(1)(1)12x x x x x x x x x x x x →-→-→-++===--+-,可得1x =-不是铅直渐近线,故答案为(C )。
2、设函数2()(1)(2)()x x nx y x e e e n =--- ,其中n 为正整数,则'(0)y =( ) (A )1(1)(1)!n n ---;(B )(1)(1)!n n --;(C )1(1)!n n --;(D )(1)!n n -。
解:(A ):(0)(11)(12)(1)0y n =---= ;则22000()(0)(1)(2)()(2)()'(0)lim lim lim0x x nx x nx x x x y x y e e e n x e e n y x x x→→→------===- 1(12)(1)(1)(1)!n n n -=--=-- 。
故答案为(A )。
3.如果函数(,)f x y 在(0,0)处连续,那么下列例题正确的是( )(A )若极限(,)(0,0)(,)lim ||||x y f x y x y →+存在,则(,)f x y 在(0,0)处可微;(B )若极限22(,)(0,0)(,)limx y f x y x y →+存在,则(,)f x y 在(0,0)处可微;(C )若(,)f x y 在(0,0)处可微,则极限(,)(0,0)(,)lim||||x y f x y x y →+存在;(D )若(,)f x y 在(0,0)处可微,则极限22(,)(0,0)(,)limx y f x y x y →+存在。
河北专升本数学真题及答案解析
河北专升本数学真题及答案解析河北省是中国的一个重要的教育区域,专升本考试是该地区许多成人学习群体所关注的重要考试。
其中,数学科目一直是许多考生最头疼的问题之一。
本文将针对河北专升本数学真题及答案解析进行深入探讨。
在进行数学考试的准备阶段,研究历年真题是非常重要的一步。
通过了解过去一段时间内的考试内容和难度,可以更好地调整学习重心,有针对性地准备。
下面,我们来逐一解析几道河北专升本数学真题。
首先,我们来看一道关于方程的题目。
如下:已知方程3x2 + 7x + a = 0 (a > 0)的两个根分别为x1和x2,求x1-2x2的值。
解析:对于一个二次方程ax2 + bx + c = 0,它的两个根可以由以下公式求得:x1 = (-b + √(b2 - 4ac)) / (2a)x2 = (-b - √(b2 - 4ac)) / (2a)根据题目中已知的条件,我们可以得到方程的两个根:x1 = (-7 + √(72 - 4 * 3a)) / (2 * 3)x2 = (-7 - √(72 - 4 * 3a)) / (2 * 3)接下来,我们可以算出x1-2x2的值:x1-2x2 = (-7 + √(72 - 4 * 3a)) / (2 * 3) - 2 * ((-7 - √(72 - 4 * 3a)) / (2 * 3))= (-7 + √(72 - 4 * 3a)) / (2 * 3) + (14 + 2√(72 - 4 * 3a)) / (2 * 3)= (-7 + 14 + √(72 - 4 * 3a) + 2√(72 - 4 * 3a)) / (2 * 3)= (7 + 3√(72 - 4 * 3a)) / (2 * 3)所以,x1-2x2的值为(7 + 3√(72 - 4 * 3a)) / (2 * 3)。
接下来,我们来看一道与概率有关的题目。
如下:甲、乙、丙三个人自动瞄准一个靶,甲命中靶的概率是1/3,乙命中的概率是1/4,丙命中的概率是1/5。
河北专接本2012数学真题和答案(数一数二数三)
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接本成功 必选精通
河北省 2012 年普通高校专科接本科教育选拔考试
《数学(一) 》 (理工类)试卷
(考试时间 60 分钟) (总分 100 分) 说明:请将答案填写在答题纸的相应位置上,填在其它位置上无效.
一、单项选择题(本大题共 10 小题,每小题 3 分,共 30 分.在每小题给出的四个备选项 中,选出一个正确的答案,并将所选项前面的字母填写在答题纸的相应位置上,填写 在其它位置上无效) 1.设函数 f ( x)
P 4
,其中 P 为价格,Q 为需求量,则该产品的需求弹性函
13 . 设 函 数 z f ( x, y ) 在 点 ( x0 , y0 ) 的 某 邻 域 内 连 续 且 有 一 、 二 阶 连 续 偏 导 数 , 又
f x '( x0 , y0 ) 0 , f y '( x0 , y0 ) 0 , 若 令 m f "xx ( x0 , y0 ) , n f "xy ( x0 , y0 ) , p f "yy ( x0 , y0 ) , 当 m, n, p 满 足 条 件 mp n 2 0且m 0 时 , 函 数 z f ( x, y ) 在 点 ( x0 , y0 ) 处取得极 ___________ 值. 3 0 0 14 . 已 知 A 1 4 0 , E 为 三 阶 单 位 方 阵 , 则 A 2 E 的 逆 矩 阵 0 0 3 ( A 2 E ) 1 ___________ .
2012年河北省对口高考数学
2012年河北省对口高考数学一、 选择(每空3分) 1、已知集合{}{}12,3,2,,3,22-==a N a M ,若N M =,则=a ( )A.1± B. 1 C. 1- D. 02、下列命题正确的是( )A. 若bc ac b a>>,则 B. 若 22bc ac b a >>,则C. 若b1a 1b a >>,则 D. 若c b c a b a +>+>,则3、偶函数)(x f y =在[]5,3上是增函数,且有最大值7,则在[]3,5--上是( )A. 增函数且有最大值7B. 减函数且有最大值7C.增函数且有最小值7D.减函数且有最小值7 4、“22b a=”是“b a =”的( )A. 充分不必要条件B. 必要不充分条件C. 充分且必要条件D. 既不充分也不必要条件 5、若10<<a ,则x a y =与x y a log -=在同一个坐标系中的图6、函数)42sin(2π+=x y的图像,可由函数x y 2sin 2=的图像( )得到。
A. 向左平移4π个单位 B.向右平移4π个单位2012年河北省对口高考数学试题C.向左平移8π个单位 D.向右平移8π个单位7、在等差数列{}n a 中,2a 和13a 是方程0322=--x x 的两根,则前14项之和为( )A. 20B. 16C. 14D.17 8、在ABC∆中,三内角A 、B 、C 成等差数列,且B A B A sin cos 22cos sin +=,则ABC ∆的形状是( )A. 锐角三角形B.直角三角形C. 钝角三角形D.不能确定9、设)31,31(),0,1(==b a ρρ,则下列结论中,正确的是( )A.b a ρρ=B. 31=•b a ρρ C. b a ρρ-与b ρ垂直 D. b a ρρ||10、过点),2(m A -,)1,(m B 的直线与直线022=+-y x 平行,则=m ( )A. –1B. 1C. –2D. 2 11、直线sin10cos100x y +=o o 与圆222=+y x的位置关系是( ) A. 相交 B. 相切 C. 相离 D. 不确定12、若抛物线方程是281y x =,则其准线方程为( )A.2-=xB. 4-=xC. 2-=yD. 4-=y13、两个平面βα、互相平行,直线l 与平面α相交于点A ,与平面β相交于点B ,4=AB ,点A 到平面β的距离是2,则直线l 与平面β所成的角是( )A.︒30B. ︒45C. ︒60D. ︒9014、有2名男生3名女生,从中选3人去敬老院打扫卫生,要求必须有男生,则不同的选法有( )种。
考研数学一真题答案解析
(8)将长为 1m 的木棒随机的截成两段,则两段长度的相关系数为( )
(A)1
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(C) − 1 2
(D) −1
二、填空题:9~14 小题,每小题 4 分,共 24 分。请将答案写在答题纸指定位置上
(9)若函数 f (x) 满足方程 f '' (x) + f ' (x) − 2 f (x) = 0 及 f '' (x) + f (x) = 2e ,则 f (x) =
1− x
2
(16)(本题满分 10 分)
− x2 + y2
求函数 f (x, y) = xe 2 的极值 (17)(本题满分 10 分)
∑ 求幂级数 ∝ 4n2 + 4n + 3x2n 的收敛域及和函数
n=0 2n +1 (18)(本题满分 10 分)
已知曲线
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(Ⅰ)求 P{X = 2Y}
(Ⅱ)求 Cov( X − Y ,Y )
(23)(本题满分 11 分) 设随机变量 X 与 Y 相互独立分别服从正态分布 N (µ,σ 2 ) 与 N (µ, 2σ 2 ) ,其中σ 是未 知参数且σ >0。设 Z= X − Y (Ⅰ)求 Z 的概率密度 f (z,σ 2 ) (Ⅱ)设 z1, z2 ,⋅⋅⋅, zn 为来自总体 Z 的简单随机样本,求σ 2 的最大似然估计量σ 2 (Ⅲ)证明σ 2 为σ 2 的无偏估计量
[专升本类试卷]2012年河北省专接本数学一(理工类)真题试卷.doc
13与Y轴垂直相交且过点A(2,-3,4)的直线方程为_____.
14微分方程 的通解为_________.
15幂级数 的收敛域为_________.
三、解答题
解答时应写出推理、演算步骤。
16求曲线y=x2在点(1,1)处的切线方程,并求此方程与y=x2及x轴所围城的图形的面积.
17设函数 ,f具有二阶连续偏导数,求 .
18已知线性方程组 当k1,k2取何值时,方程组无解?有唯一解?有无穷解?在方程组有无穷解的情况下,试用基础解析表示出其全部解.
19计算二重积分 其中D是由圆周x2+y2=1及坐标轴所围成的在第一象限内的闭区域.
四、综合题
19设函数y=f(x)在区间[a,b)上连续,且f(x)>0, 证明:
20 F'(x)≥2;
(B)向量组中只有一个向量可由其他向量线性表示
(C)向量组中任意一个向量可由其它向量线性表示
(分方程y''一2y'+y=ex(1+x)的特解形式为( ).
(A)y'=(ax+b)ex
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(C)y'=(ax2+bx)ex
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(C)1
(D)0
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(A)f(t)
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(D)不存在
5空间直线L: 与平面Ⅱ:3x一2y+7z=8的位置关系是( ).
(A)垂直
(B)斜交
(C)垂直在平面上
河北省2012年普通高校专科接本考试 英语真题
河北省2012年普通高校专科接本科教育选拔考试《英语》试卷(考试时间90分钟)(总分120分)说明:请将客观题答案填涂在答题卡的相应位置上,作文在答题纸的相应位置上作答,在其他位置作答无效。
Ⅰ. Phonetics (5points)Directions: In each of the following groups of words, there are four underlined letters or letter combinations marked A, B, C and D. Compare the underlined parts and identify the ONE that is different from the others in pronunciation. Then mark the corresponding letter on the Answer Sheet with a single line through the center.1. A. though B. path C. method D. thank2. A. change B. chain C. check D. chemist3. A. aloud B. attend C. nation D. Arrive4. A. hire B. honest C. hobby D. happy5. A. poisonous B. trouble C. enough D. doubleⅡ.Situational Dialogues (15 points)Section A (5 points)Directions: In this section there are 5 short dialogues. For each dialogue, there are 4 choices marked A, B, C and D. You are required to choose the ONE that best fits into the dialogue. Then mark the corresponding letter on the Answer Sheet with a single line through the center.6.—I missed Prof. Wang’s linguistic class again yesterday.—A.Congratulations!B.How nice you are!C.What a pity!D.Have a nice weekend.7. —Is everyone always so helpful to you in your office?—A.Yes. What can I do for you?B.Yes, there is a hotel nearby.C.Yes. Can I help you?D.Yes. It’s a great place to work.8. —Thank you very much for your help.—A.Never mindB.My pleasureC.It doesn’t matterD.No thanks9. —Do you mind opening door?—A.Yes, I’ll do it.B.It is nothing.C.That’s all right.D.Not at all.10. —Jimmy, what are you hiding your back? Let me see.—It is a kitty. Please let me keep it, Mum. It is a good kitty and will not bring you any trouble.—. I told you. No pets. It will make a mess of this house.Section B (5 points)Directions: In this section there is a long conversation with 5 missing sentences. At the end of the dialogue, there is a list of given choices. You are required to select the ONE that best fits into the dialogue. The mark the corresponding letter on the Answer Sheet with a single line through the center. Note that there are two additional choices and you may not use any of the choices in the list more than once.—I just received a letter from Jack, one of my old buddies from college.—That is nice. It is amazing that you are keeping in touch with each other for so many years after graduating from college.—11 . But I have not seen him for ages.—12 .—He said that they moved to Pennsylvania last month. Jack got a promotion recently. Now he is a sales director.—He is always luck.—Yes, he is, but he is always diligent in his work too. What is more, his eldest son is going to the University of Pennsylvania.—Ah! 13—Absolutely right. I thought of my college life when I learned that his son would study in the University of Pennsylvania. Well, in his letter he is inviting us to have a get-together with some of our friends from college.—14 . To be frank, I’ve been out of touch with most of my old friends. Only one or two keep me informed about what they are doing.—I know. 15 .—That’s right. But you’re lucky to be in touch with your buddies for so many years.A.Yes, we are always in contact with each other.B.He was a top student in my class.C.It’s the university you graduated from, isn’t it?D.How lucky you are!E.Really? That’s good news.F.What did Jack say in his letter?G.It’s really hard to maintain contact when they move around so much.Ⅲ. Reading Comprehension (45 points)Section A (30 points)Directions: There are three passages in this part. Each passage is followed by some questions or unfinished statements. For each of them there are four choices marked A, B, C and D. You are required to select the One that best fits into the statement. Mark the corresponding letter on the Answer Sheet with a single line through the center.Passage 1Questions 16-20 are based on the following passage.Halloween is a holiday, which comes at the end of October. It is widely celebrated, with different names, in many countries. Although it started as a religious holiday, it has lost its religious connections in the United States. It is now celebrated largely as a children’s day, and many American children look forward to it for days and weeks before-hand.The orange pumpkin is harvested at this time of year and is hollowed out, a funny face cut into it and a candle placed inside, and put in the window as a decoration. City folks, nowadays, sometimes use paper pumpkins for decorations.Some years ago, the holiday was celebrated by dressing up in strange and frightening costumes and playing tricks on one’s neighbors and friends, such as ringing door bell, throwing bits of corn at window panes, and making small troubles in other ways.More recently, children have begun to go door to door to have friends and neighbors admire their costumes and give treats of candy, fruit or cookies. They say, “Trick or Treat”, meaning, “I will play a trick on you if you don’t give me a treat.” This practice has even recently developed into an international activity. Instead of, or along with candy, children collect money for UNICEF (the United Nations International Children’s Emergency Fund). This special collection of money by children for poor children throughout the world is known as “UNICEF Trick or Treat”.16. Halloween is a holiday that_____________.A.is celebrated as a children’s day all over the worldB.is for giving strange costumes to friendses from a religious dayD.is celebrated by UNICEF17. Which of the following is NOT mentioned as a part of Halloween celebrations?A. PumpkinsB. CandlesC. CostumesD. Flowers18. According to the text, children collect money on Halloween to ______________.A.buy strange and frightening costumesB.buy themselves candy from the neighborsC.help UNICEF hold an international meetingD.help poor children throughout the world19. The symbol of Halloween celebrated is ______________.A. a pumpkinB. a candleC. laughterD. money20. On which day is Halloween celebrated each year?A.The second Sunday in May.B.The fourth Thursday in November.C.February 14D.October 31Passage 2Questions 21-25 are based on the following passage.Telephone, television, radio, and the Internet help people communicate with each other. Because of these devices, ideas andTelephone, television, radio, and the Internet help people communicate with each other. Because of these devices, ideas and news of events spread quickly all over the world. For example, news of disaster, such as a flood, can bring help from distant countries. Within hours, help is on the way. This is because modern technology information travels fast.How has this speed of communication changed the world? To many people, the world hasbecome smaller. Two hundred years ago, communication between the continents took a long time. All news was carried on ships that took weeks or even months to cross the ocean. In the seventeenth and eighteenth centuries, it took six weeks for news from Europe to reach the America. This time difference influenced people’s actions. For example, a few battles in the War of 1812 between England and the United State could have been avoided. A peace agreement had already been signed. Peace was made in England, but the news of peace took six weeks to reach America. During these six weeks, the large and serious Battle of New Orleans was fought. Many people lost their lives after a peace treaty had been signed. They would not have died of news had come in time. In the past, communication took much more time than it does now. There was a good reason why the world seemed so much larger than it does today.21. Thanks to _______, we can gain brand-new ideas and news of events from all over the world.A. DisastersB. EuropeC. Ocean travelD. modern technology22. What took six weeks a couple of hundred years ago?A. Ocean travel between Europe and America.B. The War of 1812 between the US and England.C. Agreeing on peace during the War of 1812.D. The Battle of New Orleans that wasn’t avoided.23. Some battles in the war between England and America could have been avoided if ______.A. people had signed the peace agreement soonerB. the peace agreement had reached America earlierC. the peace agreement had not been lost on the wayD. people of the two countries had taken some actions24. What attitude did the writer hold to the people who died in the War of 1812 ?A. Curious.B. Amazed.C. Sympathetic.D. Angry.25. Which is the most appreciate title for this passage?A.Modern Technology and CommunicationB. A Peace AgreementC.The UnnecessaryD.People in the Information AgePassage 3Questions 26-30 are based on the following passage.Dream is a story that a person “watches” or even takes part in during sleep. Dream events are imaginary, but they are related to real experience and needs in the dreamer’s life. They seem real while they are taking place. Some dreams are pleasant, others are annoying, and still others are frightening.Everyone dreams, but some persons never recall dreaming. Others remember only a little about a dream they had just before awakening and nothing about earlier dreams. No one recalls all his dreams.Dreams involve little logical thought. In most dreams, the dreamer cannot control what happens to him. The story may be confusing, and things happen that would not happen in real life. People see in most dreams , but they may also hear, smell, touch, and taste in their dreams. Most dreams occur in color, but persons who have blind since birth do not see at all in dreams.Dreams are a product of the sleeper's mind. They include events and feelings that he hasexperienced. Most dreams are related to events of the day before the dream and strong wishes of the dreamer. Many minor incidents of the hours before sleep appear in dreams. Few events more than two days old turn up. Deep wishes or fears- expecially those held since childhood-often appear in dreams, and many dreams fulfill such wishes. Events in the sleeper's surroundings-a loud noise, for example, may become part of a dream, but they do not cause dreams.Some dreams involve deep feelings that a person may not realize he has. Psychiatrists(精神病医生)often use material from a patient's dreams to help the person understand himself better.Dreaming may help maintain good learning ability, memory and emotional adjustment. People who get plenty of sleep-but are awakened each time they begin to dream-become anxious and restless.26.This passage is mainly about?A. Why are dram during sleep?B. How we dream during sleep.C. What dreams are.D. What benefits dreams bring to people.27. Can people recall their dreams?A. Not all people can recall their dream.B. None of the people can recall their dreams.C. People usually can recall the whole dream before awakening.D. People sometimes can recall all the dreams they have during the night.28. Which of the following is not true about dreams?A. Dream is a confusing story which involves little logical thought.B. Dream if related to the dreamer'real life.C. Dream is an imaginary story which seems real while taking place.D. Dream involves events that always happen in real life.29. According to this passage, psychiatrist can .A. Help the dreamer recall his earlier dreams.B. make the sleeper dream logically.C. help the dreamer understand himself better.D. help the sleeper fulfill his dreams.30. The least possible events that appear in dreams areA. minor incidents that happened hours before one goes to sleep.B. minor indents that happened more than two days ago.C. the strong wishes a person has since childhood.D. the strong fears a person has since childhood.Section B (15 points)Directions : in this section, there is a passage with ten blanks. You are required to select one word each blank from a list of choices given in a word bank following the passage. Read the passage through carefully before making your choice. Each choice in blank is identified by a letter. Please mark the corresponding letter for each item on the answer sheet with a single line through the center. You may not use any of the words in the bank more than once.Here are some suggestions that prove helpful for those who are preparing for a job interview. In some way, a(n) interview is like a persuasive speech. In an interview, the applicant seeks to 32 the employer the employ him or her.An applicant should make sure he knows certain information prior to the interview. First , the applicant should know what kind of job he wants and how that job 33 to his career objectives. Second, the applicant should seek as much information as possible 34 the company. After gathering information about the company, the applicant is ready for the 35 . the interviewer's first 36 comes from the interviewee's appearance. For both men and women, they should 37 proper clothes and have neat, conservative length of hair.Although hairstyle and dresses are matters of personal taste, many personal directors form their 38 impressions from these things. For example, one college 39 with long hair and casual clothes interviewed for a public relations job. His education was good, and he spoke well in the interview. But the manager who interviewed him decided not to give him the job. “ there is noDirections: there are 20 blanks in the following passage. For each blank there are four choices marked ABCD. You are required to select the one that best fits into the passage. Then mark the corresponding letter on the answer sheet with a single line through the center.Many teenager act against their parent’s wishes. If we 41 neatness. Our teenagers will be sloppy( 邋遢的). They’ll leave their rooms 42 and their clothes dirty. If we 43 good manners, they will act poorly. For example, they’ll 44 conversations. If we enjoy language that is beautiful, they will speak slang. If we treasure peace, they will 45 others. If we are concerned 46 health, they will wear summer clothes in freezing weather. Nothing we do 47 this, but we will try.Parents usually respond in the following way. First, we get hard. When this fail, we 48 kindness. When no results follow, we try 49 . when gentle reasoning falls on deaf ears, we return to threats and 50What can parents do to stay 51 ? Experts advise them to stop worrying in the 52 of the unavoidable.Wise parents have a better idea of 53 they should do. They know that fighting teenager, like fighting a tide, is 54 failure. When 55 in a cross- current, experienced swimmers stop struggling. They float and let the tide carry them. 56 they find a fire footing. Parents should act in the 57 way. They should 58 with life, paying attention to what is happening with their children. By remaining a ware, but not opposing a child’s actions, a parent makes himself 59 as a guide. And when trouble comes, as it always does with teenagers, the understanding parent will advise the right thing to do. This will 60 on many problems. And everyone will be happier41 A. value B. complain C. produce D. sarisfy42 A. clear B. mysterious C. clean D. disordered43 A. insist B. insist to C. insist for D. insist on44 A. interrupt B. engage C. compose D. invent45 A. deal with B. meet with C. quarrel with D. challenge with46 A. on B. to C. about D. in47 A. creats B. changes C. exchanges D. breaks48 A. turn up B. turn on C. turn to D. turn over49 A. reasonable B. reasoning C. reason D. reasoned50 A. crime B. gentleness C. punishment D. persuasion51 A. reasonable B. critical C. strict D. simple52 A. appearance B. face C. look D. back53 A. that B. whether C. which D. what54 A. inviting B. discouraging C. demanding D. avoiding55 A. caught B. catching C. catch D. to catch56 A. after B. if C. until D. as57 A. same B. alike C. equal D. particular58 A. fly B. fall C. flew D. flow59 A. apparent B. available C. severe D. curious60 A. cut in B. cut off C. cut up D. cut downV. Writing (25 points)Directions: in this par you are required to write a com position entitled private cars in no less than 100 words according to the following Chinese outline. Please remember to write it on the com position sheet.1.中国的私家车越来越多。
河北省2012年普通高校专科接本科教育选拔考试数一-精通教育
A.垂直
B.斜交
C.直线在平面上
D.平行
6.设 a 为常数,则级数
(
n 1
sin na 1 ) n2 n
D.收敛性与a的值有关
A.绝对收敛
B.条件收敛
C.发散
7.已知四阶方阵 A 的第二行元素依次为:1,2,3,4,其对应的余子式为:-1,2,0,1, 则方阵 A 的行列式 A 的值为
x
D.0
x 0
A.e
B.e1
C.1
4.已知 y f ( x) 在 x 0 处可导且 f (0) 0 ,则当 t 0 时,有 lim
f (tx) x
A. f (t )
5.空间直线 L :
B. f '(0)
C.tf '(0)
D.不存在
2 x 3 y 0 与平面 : 3x 2 y 7 z 8 的位置关系是 7 y 2 z 0
4
0
e x dx ___________ .
12.设 L 为三顶点分别为 (0,0)、 (3,0)和(3, 2) 的三角形区域的正向边界,则对坐标的曲线积 分
L
(2 x y 4)dx (5 y 3x 6)dy ___________
13.与 y 轴垂直相交且过点 A(2, 3, 4) 的直线方程为 ___________ . 14.微分方程
当 k1 ,k2 取何值时,方程组无解?有唯一解?有无穷解?在方程组有无穷解的情况下, 试用基础解析表示出其全部解. 19.计算二重积分 I
ln(1 x
D
2
y 2 )d ,其中 D 是由圆周 x 2 y 2 1 及坐标轴所围成
2012年成人高等学校招生全国统一考试数学真题及答案(理工农医类)
a2 =3 .
………………5 分
(Ⅱ)由(Ⅰ)和已知得
a1 a1a3
a3
9
10
a1 9
解得
a1
1或
a1
9
.由
a2
=3
得
q
1 3
(舍去)
或 aq131
所以 {an } 的前
8
项和
S8
1 (1 38 ) 13
=3280
…………12 分
24.解:(Ⅰ)由已知得直线 l 的方程为 x y 4 0 ,C 的顶点坐标为 O 0, 0 ,所以 O 到 l
A.
3
B.
2
C.
D. 0
4
2
2
12.已知一个等差数列的首项为 1,公差为 3,那么该数列的前 5 项和为( )
A. 35
B. 30
C. 20
D. 10
13.函数 y lg x2 1 的定义域是( )
A. , 1 1,
B. 1,1
C. , 1 1,
D. 1,1
14.使 log2 a log3 27 成立的 a 的取值范围是( )
C.
2
5.设甲: x 1,乙: x2 3x 2 0 ,则( )
D.
4
A.甲是乙的必要条件,但不是乙的充分条件 B.甲是乙的充分条件,但不是乙的必要条件 C.甲不是乙的充分条件,也不是乙的必要条件 D.甲是乙的充分必要条件 6.下列函数中,为偶函数的是( )
A. y 3x2 1
B. y x3 3
3.解答右端所注分数,表示考生正确做到这一步应得的累加分数. 4.只给整数分数.选择题和填空题不给中间分. 一、选择题 1.C 2.B 3.D 4.C 5.B 6.A 7.D 8.D 9.B 10.A 11.C 12.A 13.C 14.D 15.D 16.B 17.B 二、填空题 18、3 19、5 20、1 21、8.3 三、解答题
2012年河北省专接本考试物理试卷
河北省2012年专接本选拔考试物理试卷(试卷共8页,总分300分,答题时间150分钟)(请将答案写在答题纸上)第一部分 《力学》一、选择题(每小题2分,共20分)1.三个力处于平衡状态,则此三个力必为:( )(A)有两个力相交;(B)三个力都为平行力;(C)三力共点;(D)三力共点或三力都为平行力。
2.关于参照系的下列说法中那一个是正确的?( )(A)任何物体系皆可取做参照系;(B)几何点可以去做参照系;(C)小物体不能取做参照系;(D)在一定参照系中的坐标系必须固定在此参照系上。
3.一个8kg 的铁球,得到40NS 的冲量,则铁球的动量数值改变为:( )(A)5kgm/s ; (B)8kgm/s ; (C)40kgm/s ; (D)320kgm/s .4.下述几种运动中,哪一种运动的加速度矢量是保持不变的运动?( )(A )抛体运动;(B )匀速圆周运动;(C) 单摆运动;(D )以上三种都不是。
5.四节车厢在水平牵引力F 作用下加速运动,轨道是水平光滑的,则最后一节车厢受到的拉力是:( )(A ) F ;(B) 21F ;(C ) 31F ;(D ) 41F 。
6.下面列举的例子中,那种情况做功不为零?( )(A )单摆摆动时,悬线拉力对摆球做的功;(B )做匀速圆周运动的卫星,地球引力对卫星做的功;(C )在水平面上滑动的木块,支撑力对木块做功;(D )斜抛物体运动过程中,重力对物体做功。
7、对高速定轴旋转的圆盘,正确的说法是:( )(A)其角加速度也一定很大;(B)它受到的外力也一定很大;(C)它受到外力矩也一定很大;(D)它的动能也一定很大。
8.以下说法正确的是:( )(A)指向某一确定位置的力是回复力;(B)物体受到回复力的作用,物体做简谐振动;(C)线性回复力可以是不同性质力的合力;(D)作简谐振动的物体总离不开弹簧弹性力的作用。
9.当两列波相遇时,则:()(A)若为相干波,则相互影响,若不为相干波,则互不影响;(B)只有相干波,才能相互叠加;(C)只有振动方向相同的两列波才符合叠加原理;(D)相干波相遇处合振动的频率与分振动的频率相同。
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y f x
y f u
u x
y f u , u x
f x 0
f [ g ( x )]
f ( x)
f ( x)
1 x x
g ( x) 1 x
x2 y2 1
F '( x ) f ( x )
f ( x )
y '' 2 y ' y e x 1 x
1 , 2 , 3 , , r
区间 a, b
第 5 页 共 5 页
二、填空题(本大题共 5 个小题,每小题 4 分,共 20 分。将答案填写在答题纸的相应位置 上,填写在其它位置上无效。 )
11,积分 e x dx _______.
0
4
12,设 L 为三顶点 (0,0) 、(3,0) 和 (3,2) 的三角形区域的正向边界,则对坐标的曲线 积分
2 x y 4 dx 5 y 3x 6 dy _________.
)
8,设向量组 1 , 2 , 3 , , r 线性相关,则(
)
A. 向量组中存在某一向量可由其他向量线性表示 B. 向量组中只有一个向量可由其他向量线性表示 C. 向量组中任意一个向量可由其他向量线性表示 D.向量组中任意一个向量不可由其他向量线性表示 9,微分方程 y '' 2 y ' y e A. C.
L
13, 与 y 轴垂直相交且过点 A (2, 3, 4) 的直线方程______. 14, 微分方程
dy y 0 的通解为________. dx x
第 2 页 共 5 页
15, 幂级数
n 1
x 1
2 n.n
n
的收敛域为___________.
三、计算题(本大题共 4 小题, 每小题 10 分, 共 40 分. 将解答的主要过程、步骤 和答案填写在答题纸的相应位置上, 填写在其它位置上无效) 16, 求曲线 y x 2 在点 1,1 处的切线方程,并求此切线与 y x 2 及 x 轴所围成的 图形面积。
n1
sin na
n
2
1 n
C. 发散 D. 收敛性与 a 的值有关
B. 条件收敛
7,已知四阶方阵 A 的第二行元素依次为:1,2,3,4,其对应的余子式为:-1,2,0,1,
第 1 页 共 5 页
则方阵 A 的行列式 A 的值( A. 8 B. 9 C. 10 D.11
有唯一解?有无穷解?在方程组有无穷解的情况下,试用基础解系表示其全部 解。 19,计算二重积分 I ln 1 x 2 y 2 d ,其中 D 是由圆周 x 2 y 2 1 及坐标轴
D
所围成的在第一象限内的闭区间。 四、证明题(或应用题)(本题 10 分. 从以下两题中任选一题给出证明或解答, 将证明或解答的主要过程、 步骤和答案填写在答题纸的相应位置上, 写在其它位 置上无效) 20 , 设 函 数 y f x 在 区 间
第 3 页 共 5 页
数学常用符号
1,选项。
A. A. B.
B. C.
C. D.
D.
2,分号的: e e 1
三角函数
ex
sin 2012 x x
1 cos x
x 1 x
1
1 x x
arcsin
sin x cos
cos1
sin 1
1 sin x x
3,函数符号:
A.
x 1 x
1 x , g ( x) 1 x ,则 f [ g ( x)] =( x 1 2 x 1 B. C. x 1 x
) . D.2+x
2. 下列等式中正确的是( ) 。 A. lim
sin 2012 x 1 sin x 1 1 D. lim x sin 1 =2012 B. lim sin x 0 C. lim x0 x x x x x x x
f (tx) x
tf (0)
D. 不存在
2 x 3 y 0 5. 空间直线 L: 与平面 : 3 x 2 y 7 z 8 的位置关系 7 y 2 z 0 A. 垂直 B. 斜交
C.
直线在平面上
D.平行
6. 设 a 为常数,则级数 A. 绝对收敛
说明:答案 1 去 2 群 3 共 4 享 5 下 6 载 103579685
河北省 2012 年普通高校专科接本科教育选拔考试
《数学(一) 》 (理工类)试卷
(考试时间 60 分钟) (总分 100 分) 说明:请将答案填写答题纸的相应位置上,填在其它位置上无效. 一、 单项选择题 (本大题共 10 小题, 每小题 3 分, 共 30 分. 在每小题给出的四 个备选项中 , 选出一个正确的答案 , 并将所选项前面的字母填写在答题纸的相 应位置上, 填写在其它位置上无效) 1.设函数 f ( x)
x
1 x 的特解形式为(
y ax3 bx 2 e x
)
y ax b e x
B. D. )
y ax 2 bx e x
x
y ae x
10,下列命题错误的是( A.
lim
x 0
0
cos t 2 dt x 1
B. 当 x 0 时, x 3 sin x 与 x 3 是同阶无穷小 C. 设 y f u , u x ,则 dy f ' u du D. 若 f ( x0 ) 0 ,则 x x0 必是 y f x 的极值点
x 0
lim f ( x ) 1
x 0
lim f ( x ) 3
lim f ( x) 3x
x0
1 lim (1 ) x e x x
1 lim (1 ) x e x x
1 lim sin x x x
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x1 3x2 2 x3 x4 0 线性方程组 2 x1 5 x2 3 x3 x4 1 x 3x 2(2n)! n x 2 n 1 ( n !)
dy e x y 微分方程 dx
上标 e x y
积分符号: 2 f ( x 1)dx 向量组 1 , 2 , 3 , 4 区间 (0,1) 点 (0,1)
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dy dx
x 0 y 0
0 0 0 0 0 0 1 0 0
1 1 x x , x 0 在 x 0 处连续,则 k = 3. 设函数 f ( x) k , x 0
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x 0
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C.
1
4. 已知 y f ( x ) 在 x 0 处可导且 f (0) 0 ,则当 t 0 时,有 lim A. f (t ) B. f (0) C.
z 2 z x 17,设函数 z f x, , f 具有二阶连续偏导数,求 , 。 x xy y
x1 x2 2 x3 3 x4 1 x 3x 6 x x 4 1 2 3 4 18,已知线性方程组 ,当 k1 , k2 取何值时,方程组无解? 3 x1 - x2 - k1 x3 15 x4 3 x1 5 x2 10 x3 12 x4 k2
e x x 2 1 x0 f ( x ) x 2 (e x 2 1) x2 a x0
2
x2 1 x 0 f ( x) 2 x0 3x x 0
4 , 极 限 符 号 : lim
x0
lim f ( x) 2
x0
lim
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a, b
上 连 续 , 且 f x 0 ,
F x f t dt
a
x
x
b
dt , x a, b ,证明(1) F ' x 2 ; (2)方程 F x 0 在 f t
区间 a, b 内有且仅有一个根。 21,求内接于半径为 a 的球的长方体体积的最大值。