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应用数学基础(习题)_2018级_天津大学研究生数学考试题
H(1) f (1) ,则 f (x) H (x)
。
16、已知函数 S(x) 为[0,2]上的三次样条函数, S(x) 1 x3 ax2 , 0 x 1, 2
S(x) (x 1)3 1 (x 1)2 b(x 1) c, 1 x 2 ,则 a
。
2
17、将区间[0,1]做 n 等分, h
二、填空题(共 20 分,每空 1 分)
1、设 E (3, 2],则 sup E
, inf E
。
2、设 A 是内积空间 X 的非空子集,且 0 A ,则 A A
。
()
3、 设 A 是赋范空间 (X,|| ||)的非空子集,则 ()
是包含 A 的最小子空间,
含 A 的最小闭集。 ()
是包
( ) 4、对给定的 (t) C[a,b], (t) 0 ,在实赋范空间 (C[a,b],|| ||) 上定义实的线性泛函
天津大学试卷专用纸
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2018~2019 学年第一学期期末考试试卷 《应用数学基础》(共 6 页)
14、Hilbert 空间 H 的标准正交系{ei}是完全的,当且仅当 H 中不存在与每个 ei 都正交的
非零元素。
()
(考试时间:2019 年 1 月 15 日)
题号 一 二 三 四 五 六 七 八 九 成绩 得分 一、判断题(共 15 分,每小题 1 分)
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11、设 M 是求解线性方程组 Ax b 的 Jacobi 迭代矩阵,则 det(eM ) _____。
12、设线性方程组
天津大学15-16 马原带答案
天津大学试卷专用纸学院专业班年级学号姓名共4页第1页(A)三、辨析题(判断正误,并说明理由。
每小题6分,共12分。
)1、在人们的物质生活条件中,生产方式是社会历史发展的决定力量。
正确.第一,物质资料的生产方式既是人类产生和存在的基础,也是人类社会产生和存在的基础。
第二,生产方式是社会其他一切社会关系和社会活动的基础。
生产方式既为社会其他活动提供基础,又对其他社会活动起制约作用。
第三,生产方式决定社会制度的性质和社会制度的更替2、具体劳动和抽象劳动是不同劳动过程的两个方面。
错误.同一劳动过程的两个方面.四、简答题(每小题6分,共24分。
)1、意识的能动作用主要表现在哪些方面?①意识活动的目的性和计划性;②意识活动的创造性;③改造世界是意识能动性最突出的表现;④意识活动能在一定条件下控制人的生理活动。
意识对物质的能动作用只有在尊重客观规律并依赖于一定的物质条件的基础上,通过实践活动才能实现。
2、真理的绝对性和相对性各自具有哪两方面的含义?(1) 任何真理都是对客观事物及其规律的正确反映,包含有不能被推翻的客观内容,这是无条件的、绝对的(2) 人类的认识,按其本性来说,是能够认识无限发展的物质世界的,每一真理都是对无限物质世界的接近,这也是无条件的、绝对的(1) 任何真理都有一定广度,都是对整个世界某一领域、某一方面的正确认识,因而是有条件的、相对的(2) 任何真理都有一定深度,都是对事物一定深度、层次的近似正确的反映,因此是有条件的、相对的3、人民群众在创造历史过程中的决定作用主要表现在哪些方面?①人民群众是社会生产力的体现者。
②人民群众是社会物质财富的创造者。
他们的实践活动提供社会存在和发展的物质基础。
③人民群众是社会精神财富的创造者。
他们的实践经验是精神财富的源泉,同时他们也直接参加了精神财富的创造活动。
④人民群众是变革社会制度的决定力量。
4、价值规律的作用表现在哪些方面?有哪些消极后果?①自发地调节社会劳动(生产资料和劳动力)在各部门的分配,调节商品的生产和流通。
光学相干层析技术OCT的原理及应用-天津大学研究生e-Learning平台
OCT技术是近十几年发展起来的一种光学成像技术,在科学研究和医学临床应用中有广泛的发展前景,选题合理。
请尽快确定课题完成方式,完善相关技术路线,开展课题调研论证工作。
85光学相干层析技术OCT的原理及应用光学相干层析技术(Optical coherence tomography)即OCT是近十几年发展起来的一种光学成像技术。
OCT的基础是白光干涉,利用弱相干光干涉原理,检测生物系统内部不同深度的背向反射或几次散射信号,并通过扫描得到组织二维或三维深度结构图像,可进行活体眼组织显微镜结构的非接触式、非侵入性断层成像。
OCT已经成为继X线计算机断层扫描成像、超声波成像和核磁共振成像技术之后,又一个重要的断层成像技术。
OCT被认为是很有发展前途的一种新型生物医学成像技术,在科学研究和医学临床应用中有广泛的发展前景,目前已经在眼前节和眼后节成像方面得到成熟的应用。
医学成像技术分类:X线成像:其成像系统检测的信号是穿透组织后的X线强度,反映人体不同组织对X线吸收的差别。
探测深度无限,但是成本比较高,对人体有害,分辨率较低。
超声成像技术:系统检测的信号是超声回波,超声波遇到不同组织或器官界面时,将发生不同程度的反射和投射,通过信号的处理得到组织图像。
成本较高,探测深度为20-30mm。
磁共振成像:系统检测信号是生物组织中的原子核所发出的磁共振信号,经光电探测器接收后,显示体层内的组织形态和生理信息。
成本最高,探测深度为100微米以下。
OCT成像技术:利用弱相干光干涉原理,利用光电探测器接收生物组织不同深度层的散射光信号,通过扫描得到生物组织二维或三维结构图像,可进行活体组织的非接触性、非侵入性断层成像。
OCT主要用于组织的断层成像,其成像分辨率高,有利于早起病变的检测。
OCT的特点:1、非侵入性:光源的发射功率对生物组织是没有损害的,可用光源直接照射,避免了对病变组织做病理切片的这种具有一定破坏性的方法。
2、高灵敏度:在OCT成像技术中引入了外差探测,不仅可以探测调幅的光信号,还可以探测频率及相位调制的光信号。
电化学研究方法及试验天津大学研究生eLearning平台ppt课件
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《电化学》内容,吴辉煌 主编, 化学工业出版社,2006年1月
共有8章 • 固体/电解液界面区的结构与性质 • 电子传递理论 • 电化学催化 • 有机电化学和生物电化学 • 光电化学 • 电化学沉积与微建造技术 • 固态电化学 • 电化学原位实验技术
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《应用电化学》内容
1800 尼克松发明电解水
1833 法拉第定律发现
(戴维/法拉第\\霍普金斯/麦克斯韦)
1870 亥姆荷茨提出双电层概念
1889 能斯特提出电极电位公式
1905 塔菲尔提出塔菲尔公式
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二、电化学发展缓慢(20世纪上半叶)
• 电化学家企图用热力学方法解决一切电化学问题,遭到失败。
• 热力学一、二、三定律,化学平衡理论
• 非平衡热力学 薛定谔/普利高津
“混沌理论(Chaos Theory) ”之父罗伦兹(Edward Lorenz) 四月十六 日在其位于美国麻省的家中逝世,终年九十岁。“混沌理论”是在数学 和物理学中,研究非线性系统在一定条件下表现出的现象的理论。 “一 九六一年冬季的一天,罗伦兹在计算机上进行关于天气预报的计算。为 了考察一个很长的序列,他走了一条捷径,没有令计算机从头运行,而 是从中途开始.他把上次的输出直接打入作为计算的初值,然后他穿过 大厅下楼,去喝咖啡。一小时后他回来时,发生了出乎意料的事,他发 现天气变化同上一次的模式迅速偏离,在短时间内,相似性完全消失了。 进一步的计算表明,输入的细微差异可能很快成为输出的巨大差别”。 提出 “蝴蝶效应(Butterfly Effect)。罗伦兹认为,人类本身都是非线性 的:与传统的想法相反,健康人的脑电图和心脏跳动并不是规则的,而 是混沌的,混沌正是生命力的表现,混沌系统对外界的刺激反应,比非 混沌系统快得多。
【期末复习】大学《无机化学与化学分析》第二学期期末考试试卷答案
D
D
A
C
C
1.既溶于过量氨水,又溶于过量NaOH溶液的是。
(A) Ni(OH)3(B) Fe(OH)3(C) Zn(OH)2(D) Al(OH)3
2.下列各组离子中的所有离子都能将I-氧化的是。
(A) Hg2+, Ni2+, Fe2+(B) Ag+, Sn2+, Pb2+
(C) Co2+, Cr2O72-, Sb3+(D) MnO4-, Cu2+, Fe3+
5. (×)平行实验的精密度越高,其分析结果的准确度也越高。
6.(×) CrCl3在金属焊接时用于清除金属表面氧化物。
7.(×)铁(Ⅲ)、钴(Ⅲ)、镍(Ⅲ)氧化物的氧化性从强到弱的次序为:Fe2O3>Co2O3> Ni2O3。
8. (√)锰的氧化物的酸性随氧化数的增大而逐渐增强。
9.(×)同一金属组成不同氧化数的卤化物,高氧化数卤化物多为离子型化合物。
16.读取滴定管数时,下列错误的是。
(A)在常量分析中,滴定管读数必须读到小数点后第四位
(B)读数时,应使滴定管保持垂直
(C)读取弯月面下缘最低点,并使视线与该点在同一水平面上
(D)读数前检查管壁是否挂水珠,管尖是否有气泡
17.间接碘量法中加入淀粉指示剂的适宜时间是。
(A)滴定开始时
(B)用标准滴定溶液滴定近50%时
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8.下列各族元素中,金属的化学活泼性随原子序数增加而减弱的是。
(A) IA (B) IIA (C) IIIA (D) IB
9.下列硫化物中,不溶于Na2S溶液的是。
1213-1天津大学概率论考试试卷B答案
一、选择题 (共 12 分,每题 2 分)
1、对于任意两个随机变量 X ,Y ,若 E(XY) E(X )E(Y ) ,则( B )
A) D(XY) D(X )D(Y )
B) D(X Y ) D(X ) D(Y )
C) X ,Y 一定独立
D) X ,Y 不独立
2、 A 与 B 相互独立, 且 0 P(A) 1, 0 P(B) 1, 则有(C )
.
4、设一系统由五个相互独立的元件串联而成, 每个元件的寿命 X 服从均值为 1500
的指数分布(单位:小时),在使用的前 600 h 内至少有一个元件需要更换的概率是
1 e2
, 且该系统的平均寿命是__300__ _(小时).
4、设 X1 与 X 2 是任意两个相互独立的连续型随机变量,它们概率密度函数分别为 f1(x) 与
1 (x 1), 2
1 x 1,
0,
其它.
1 1 dx 1 (2 y), 0 y 2,
y-1 4
4
fY ( y)
f
(x,
y)dx
11 4 y1
dx
1 (y 2), 4
2 y 0,
0, 其它.
(3)因为 f (x, y) fX (x) fY ( y) ,所以 X 与Y 不独立.
_______
,
且 1 n
n i 1
Xi
依概率收敛于
0.6
.
6、二维正态分布表示为
N
(1
,
2 1
;
2 ,
2 2
2018-2019(上)第一次高数月考参考答案
lim cos x 1 1,cos x cos 2x (cos x 1) (cos 2x 1) x2 (2x)2 3x2 ,
x0 cos 2x 1
22 2
x 0 时, tan x sin x 是与 x3 同阶的无穷小, cos x cos 2x 是与 x2 同阶的无穷小.
lim tan x(1 cos x) x0 (cos x 1) (cos 2x 1)
x x2
lim
x0
x2
2 (2x)2
lim x x0 3
0,
22
x 0 时, tan x sin x 是比 cos x cos 2x 高阶的无穷小.
解法三: x 0 时, tan x sin x tan x(1 cos x) x x2 x3 ,
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2018~2019 学年第一学期第一次月考试卷答案 《高等数学 2A》(共 3 页,附 2 页草纸) (考试时间:2018 年 10 月 19 日)(1 小时)
一、 求下列极限(每小题 12 分, 共 48 分)
1
3.
a,
b 均为非零常数,求 lim x0
a
be x
1
sin 2x . x
a be x
1
1
1
解: lim x0
a a
be x
1
be x
sin 2x x
lim
x0
a a
be x
1
be x
sin 2x x
lim
x0
a be x
1
20191206-高数第二次月考参考答案
y y
1 2
8 x2
x2
,
得到交点
2,2
,
2,2.
S
2 2
8
x2
1 2
x2
dx
2
2 0
8 x2 dx 2 x2dx 0
令 x 8 sin t,
| 2
8 x2dx
π
π
π
4 8 cos2 t dt 4 4 1 cos 2t dt π 2 sin 2t 4 π 2,
的原函数,
且
F
π 6
2, 2
求 F(x) .
解:
F
(
x)
e
x
sin
x
cos x 2 sin x
dx
ex
sin
xdx
e
x
cos x 2 sin x
dx
e
x
sin xdx e xd
sin x
e x sin xdx e x sin x e x sin xdx
ex sin x C.
6
dx.
解:
x
3x 2 2 2x
6
dx
3 2
(2x 2)dx x2 2x 6
5
x
dx
12
5
3 ln x 2 2x 6 5 arctan x 1 C.
2
5
3.
计算定积分
2
1 f (x 1)dx,
2
其中
f
(x)
1 x2 arcsin x, 1 x 1 , 22
x,
x 1.
f (x) ln x a, 在区间1,e 上积分,得
xx
a
e f (x) dx
os2013-期末试卷A答案
10min、6min、2min、4min 和 8min。其优先级(由外部设定)分别为 3、5、2、1 和 4,这里 5
为最高优先级。下列各种调度算法中,其平均进程周转时间为 14min 的是
A. 时间片轮转调度算法
B. 优先级调度算法
C. 先来先服务调度算法
D. 最短作业优先算法
A. 100,200
学院 软件学院 专业 软件工程
班
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A共5页 第3页
二、填空题(每空 1 分,共 30 分。请将答案填在第 3 页的表格中,写在其他位置的答案无效!) 4、在 Intel i386 的保护模式下,段寄存器作为段选符,其结构如下图所示 1、某计算机主存按字节编址,逻辑地址和物理地址都是 32 位,页表项大小为 4 字节。请回答下列
程序一: for(i=0;i<99;i++)
for(j=0;j<=199;j++) a[i][j]=i*j;
程序二: for(j=0;j<=199;j++)
for(i=0;i<99;i++) a[i][j]=i*j;
18、 有 5 个批处理任务 A、B、C、D、E 几乎同时到达一个计算中心。它们预计运行的时间分别是
下,其数据传输率为
A. 576000KB/s
B. 7200KB/s C. 9600KB/s D. 19200KB/s
28、 某基于动态分区存储管理的计算机,其主存容量为 55M B(初始为空闲),采用最佳适配(Best Fit)算法,分配和释放的顺序为:分配 15M B,分配 30M B,释放 15M B,分配 8M B,分配 6M B,此 时主存中最大空闲分区的大小是______。
天津大学研究生英语网上作业部分答案
Unit 5At staff room1. What day is it? Who found the office door unlocked over the weekend, and when? Who was thought to be responsible? What might be the consequence he has to face, and why does it have to be so serious a penalty?It’s Monday.Johnson found the office door unlocked over the weekend when he came in earlier this morning.Look(音是这个,但我不知这个名字怎么拼) was thought to responsible. He might be fired because of this.Because he has messed up some phone messages and he has come late a few times.2. Why is Steve certain that it was him rather than anyone else who is to blame for the whole thing? If you were Steve, what would you do and why? If you were Steve’s boss, what would you think of Steve and what would be your decision and why?First of all, Look definitely left before he did because he stayed a little late on Friday to finish some work. Second he recalled that he was worried about being late for the date which he almost forgot, so he left in a hurry. He didn’t even think about locking the door.If I were Steve, I would do the same. On one hand, if I don’t tellthe truth, someone innocent maybe punished on my account. On the other hand, if they finally find out that it was me other than some one else, the result will only be worse. As it says, the truth will go on. So I choose to be honest.I will think of Steve as the kind of person you can trust. Because he honestly told the truth knowing that he might be fired.Maybe I’ll only cut down his wages instead of some serious penalty to let him learn the lessons and be more careful in the future.Panel discussion: a drop in values?1. Are people on the panel in agreement that there is a drop in values? What does each speaker say to support that view?Tom doesn’t think the human nature has changed a lot. He thinks that most people still have essential moral values. But when people are face with situations where they could lose something or have something tremendous to gain by being honest, the human nature is tend to fudge the truth a little. Also when he was in school he lived in a town where that everybody was very friendly. They can trust each other. They never locked their house.Linda don’t say her opinions directly. But we can learn from her words that she doesn’t agree. But there are still time when you prefer not to tell the whole truth. She thinks it’s important for someone to come out and say maybe what other people don’t want to hear or to say somethingthat is against the concept of the office and present a new point of view.Adrain agrees. Because about 3.5 years ago, a stranger who had found his lost credit card returned it to him without hesitation.2. To what extent do you agree on the view “human nature tends to fudge the truth a little bit when it is beneficial to do so”? Do you think it is part of human nature to be tolerated or discouraged, and is it possible to discourage it? Why and how? (at least 150 words)I think the view “human nature tends to fudge the truth a little bit when it is beneficial to do so” does make sense. We have to admit we can’t find a person who is always telling the truth. There can be kinds of reasons, either good or bad. For example, you may say “well done” to your partner while actually he does have made a lot of mistakes. But you try not to discourage him. It explains a lot. Sometimes we have to fudge it a little in order not to hurt his self respect. So I think it’s part of human nature to be tolerated. In some occasions the truth hurts and can be very hard to accept. But we can’t do like this every time regarding of the results. Maybe only by telling the truth can we help him realize his own problem and correct it. So use it properly.Unit 6Time traveler1. What was the guy doing when he suddenly found himself in a completely different world? What are some of the cultural shocks he’sexperienced in this world?He was giving his wife a red boa for her birthday.First, he has a problem communicating with them because there are many words that he has never heard before such as an ID card, driver’s license, a credit card an ATM card and something like t hat. What’s more even the restroom and the bathroom have different meanings. He thinks a hot dog as a real dog. Of course, he has never seena cellphone because he was form the 1900s.2. Some science fictions on time travel are mainly about cultural shocks. Can you conceive of a time traveler of our time going back to 1960’s or even earlier, or vice versa? What would be some of the cultural shocks the traveler would encounter? Make a list of them or conceive a conversation as the traveler first sets foot in the different world.(1)He might be shocked that women and men seldom talk to each other unless they’re married.(2)A mother can give birth to 10 babies or even more.(3)Learned people are not as welcomed as today. People are encouraged to go to the fields.(4)Many people go to the countryside while people of our ages are making every effort to live in the city.Panel discussion: cultural shock or feeling of going back home?1. Tom went to Japan back in the 70’s, yet felt like being home, with noexperiences of cultural shocks. Does Tom explain why? What do you think may be an explanation for this? What does Peter think is a shame for tourists? Why?No.He said that he felt familiar and felt like at home. The reason might be that he had learned a lot about the Japanese culture before he went there. Perhaps he had seen many videos or read some books related to Japan.Peter thinks it is a shame for tourists that when they go abroad, they just stayed in a restrict instead of going out or venturing out to experience the customs and the traditions of the people who live there.He thinks that in such a big world we have l lot of things to learn. So we shouldn’t just lie in the swimming pool.2. What would you anticipate being in a different culture? Would it be a smooth transition or a difficult one? Does knowing the local language help? Would it make any difference if you were a visitor or someone intending for a much longer stay? What do you think could help to make the transition easier? (at least 150 words)If I were in a different culture, I could be totally freaked out because people can do things in a contrary way. Maybe I even don’t know which way to go.I guess it will be a very difficult transition for I’m the kind of person whohas a big problem getting used to the changes.Knowing the language helps a lot.It can be so different for a visitor and a person intending for a much longer stay. Visitors don’t contact with the natives as much as the longer To make the transition easier, you need to be fully prepared. You can take a language class if only to make sure that the local people can understand you when you are asking for help. You should also learn the customs there in case you make cultural mistakes and give them a wrong message that you do not respect them.Unit 8Describing a person’s qualities1. What do the co-workers say about Mildred in their gossip? What words does Lisa use to refer to Ramona, who rejects to be part of the gossip?They say that Mildred is one of those people who never gets the joke. She is out of it. She is cheap to spend money on clothes. So they think she always dresses strangely.She calls Ramona Miss goodie-goodie. (这个词也是光听出音来了,具体咋拼清楚,意思就是说这个女的充当老好人。
2018-2019学年第一学期高数期末参考答案(1)
=
1
ee
+
2
π −2.
天津大学试卷专用纸
学院
专业
班
年级
学号
姓名
共 3页 第2页
四、计算题(共 35 分, 每小题 7 分)
1. 计算定积分
π
3 −π
3
(
x
+ 2)sin cos2 x
x
dx
.
解:
π
3 −π
3
2 sin cos2
x x
dx
=
0,
I
=2
π
3 x d sec x
0
=
x
sec
x
5.
设 I1 =
π 4 0
tan x x
dx,
I2
=
π 4 0
x tan
x
dx
,
则
(
B
).
(A) I1 I2 1; (B) 1 I1 I2 ; (C) I2 I1 1; (D) 1 I2 I1 .
二、填空题(共 15 分, 每小题 3 分)
arcsin x
1. 极限 lim
1− x2 =
(1) D 的面积 S; (2) D 绕 y 轴旋转一周所得旋转体的体积 V.
所以对应齐次方程通解 y = C1e2x + C2e3x .
解: A点坐标
2 1
2
,
2
,
直线 oA : y =
2 2x
(1) S =
2
2 0
2 2
x − x2
dx
=
2 4
x2
2 2 0
−
1 3
天津大学 研究生英语上机考试样题 附答案
PART 1 (15 points)Directions: In this part of the test, there are some incomplete sentences. For each sentence, please choose one from the four choices given that can best complete its meaning.1.Water purification is the _______ of contaminants(污染物)from raw water to produce drinking waterthat is pure enough for human consumption or for industrial use.Departure(离开)removal dismissal(解雇)refusal(拒绝)2.Of course, music can be distracting(分心,转移注意力)if it's too loud or too jarring, or if it _______ forour attention with what we're trying to do.Inquires (查询)preaches(宣扬)competes (争夺你的关注)applies 3.There is only one way to happiness and that is to cease(停止)worrying about things which are_______ the power of our will.Through off beyond by4.Engineers may help produce guided missiles(导弹), industrial robots, or _______ limbs for the physicallyhandicapped.authentic(真正的,可信的)artificial (人造的)artistic(艺术的articulate(发音清晰的,善于表达的)5.In modern times, a handful of(几个,屈指可数)technological wonders(奇迹)that started out as novelties(新奇事物), have become _______ to our daily routines.Compatible (兼容的)vulnerable(弱势的)liable(容易的)indispensable(必不可少的)6.One of the most sincere(真诚的)forms of respect is _______ listening to what another has to say.Virtually(实质上,真实上)finally daily actually(确实,事实上)7.Some people may be required to work shifts(轮班)or excessive(过度的)hours(超时工作), whilst(同时)others feel they simply(仅仅)cannot _______ targets they see as unrealistic.Acquire complete meet obtain8.From primitive(原始的)developments such as the wheel and paper to today's high-tech gadgets,there's certainly no _______ of impressive developments that have changed the way we live and work.Use shortage matter sense9.Whether its checking the weather, e-mail, or bank account, smartphones have made mobileconnectivity(连接)so _______ that today’s younger generations seem much more “addicted” to their smartphones.Imaginable visible accessible(易接近的)feasible(可行的,可用的)10.For many people, an important aspect of overcoming Internet and computer addiction is to find_______ ways to handle these difficult feelings.Alternative renewable permanent(永久的,永恒的)changeable 11.Most new technologies, with the exception(除了)of those associated with(与某某有关)weaponry(武器), have had hugely ________ effects for most people extending our capabilities(能力,容量)and indeed(甚至)our lives to an extent that our ancestors could not have imagined.Urgent formal harmful beneficial12.What the mass media offers is not popular art, but entertainment(娱乐)which is intended to be_______ like food, forgotten, and replaced by a new dish.Spent expended consumed paid13.It's true that humanity has seen a ________ of(一系列)crises(危险), wars and atrocities(暴行), butthis negative side is offset(抵消)by advances in technology and cultural exchanges.Succession fraction(一小部分)pair line14.Email, blogs, social networks, instant(此刻,瞬间)messaging, and message boards allow for both publicand _______ communication about any topic.confidential(秘密的,亲密的)wordless(沉默的)anonymous(匿名的)verbal(言语的,口头的)15.Economists have long focused on the concept of education as an investment that, on average, _______well over the long term, for both individual students and society as a whole.makes up(弥补)makes for pays off(回报)pays for 16.Electronic files are replacing ________ filing cabinets(文件柜), and intelligent facsimile(传真)and copyingmachines are appearing together with a variety of printers able to print anything from letter-quality characters to four color diagrams.consequent(必然的,合乎逻辑的)conversational(健谈的)conventional(传统的)considerate(体贴的)17.Universities, employers and professional bodies all _______ the need for effective engineers to haveskills in management and business.Accredit(委托,授权)admit acquaint(告知,使熟悉)acknowledge(承认)18.Most studies on innovation(改革,创新)have shown that it is often more difficult for large corporationsto _______ the same level of creativity and freedom as start-ups(启动).Sustain(维持)contain maintain refrain(抑制)19.In many cases, what we say is less important than how we say it or the other _______ signals we sendout, such as eye contact, facial(面部的)expression, tone of voice, and gesture.Warning oral(口头的)electronic nonverbal(非语言的)20.While time spent online can be hugely productive, compulsive(令人着迷的)Internet use can _______daily life, work, and relationships.take up(占据)makes for break through(突破)Directions: In this part of the test, there are some sentences which have been divided into five fragments. Re-arrange these fragments by dragging them with the mouse into the correct order to form a sentence so that it can make sense.Re-arrange these fragments by dragging them with the mouse into the correct order to form a sentence so that it can make sense.●and our scientists see international 3 ●we always try to have 1 ●part of our modern research community 5 ● a strong global dimension in our research and development, 维度2 ●cooperation as an integral 完整的4 Re-arrange these fragments by dragging them with the mouse into the correct order to form a sentence so that it can make sense.●once you graduate from college 3 ●and begin your career 4 ●another reason for studying management 1 ●is the reality that for most of you, 2 ●you will either manage or be managed 5 Re-arrange these fragments by dragging them with the mouse into the correct order to form a sentence so that it can make sense.●the more proficient and confident he or she will be 精明1 ●with the various characteristics 2 ●in making judicious materials choices based on these criteria 明智的,恰如其分的标准5 ●as well as processing techniques of materials 3 ●the more familiar an engineer or scientist is 4 Re-arrange these fragments by dragging them with the mouse into the correct order to form a sentence so that it can make sense.●on the limits of scientific freedom 3 ●could hardly have handled 4●their publicity more differently 5 ●whose work has triggered a far-reaching debate 2 ●the two influenza researchers 1 Re-arrange these fragments by dragging them with the mouse into the correct order to form a sentence so that it can make sense.●scientists believe something began 3 ●pressing the gas pedal again, causing 4 ●matter got more diluted 2 ●expansion to accelerate once more 5 ●but as the universe got larger and 1 Re-arrange these fragments by dragging them with the mouse into the correct order to form a sentence so that it can make sense.●from a functional perspective, the role of 1 ●using existing materials 5 ● a materials scientist is to develop or synthesize 2 ●new materials, whereas a materials engineer 3 ●is called upon to create new products or systems 4 Re-arrange these fragments by dragging them with the mouse into the correct order to form a sentence so that it can make sense.●detecting the presence of populations 1 ●of rare and threatened animal species 2 ●is a challenge for conservation planners and managers 3 ●where an animal leaves little or no macroscopic trace 5 ●especially in habitats like lakes and rivers 4 Re-arrange these fragments by dragging them with the mouse into the correct order to form a sentence so that it can make sense.●those from more recent eras to conclude that 3 ●its measured rate with 2 ●the team then compared 1 ●the universe’s expansion was 4 ●slowing at that time 5 Re-arrange these fragments by dragging them with the mouse into the correct order to form a sentence so that it can make sense.●of empty space: 4 ●support to the leading theory that 2 ●the measurements so far lend 1 ●dark energy is a natural property 3 ●the more the universe expands, the stronger dark energy becomes 5 Re-arrange these fragments by dragging them with the mouse into the correct order to form a sentence so that it can make sense.●phenomenon like inflation, 3 ●and that matter’s gravitational pull will one day take over 4 ●and temper the universe’s growth spurt 5 ●other theories posit that 1 ●dark energy is a temporary 2 PART 3 (5 points)Directions: In this part of the test, you have 5 paragraphs given in wrong order. Please re-organizethese paragraphs by dragging them with your mouse so that they make a coherent text. The third paragraph has already been correctly marked for you.● 1. In the first year or so of Web business, most of the action has revolved around efforts to tap theconsumer market. More recently, as the Web proved to be more than a fashion, companies have started to buy and sell products and services with one another. Such business-to-business sales make sense because business people typically know what product they're looking for.●在网络业务的第一年左右,大部分的行动都围绕着挖掘消费者市场的努力。
洁净技术试卷2011
13.洁净室的送风量计算,下列哪一项的表述是正确的?A.等于洁净送风量B.按热、湿负荷送风量与新鲜空气量之和C.取洁净送风量,热-湿负荷送风量,新鲜空气量三项之和D.取洁净送风量,热-湿负荷送风量,新鲜空气量三项中的最大值14.净化空调系统划分时,运行班次或使用时间不同,是否分开设置?A.宜分开B.不分开C.必须不分开D.必须分开15.洁净室与周围空间必须维持一定静压差,并按下列哪一项要求决定正压差或负压差?A.设计者B.设计者与业主协商C.规范规定D.生产工艺16.洁净室与周围空间、洁净室与非洁净室、洁净室与室外均必须维持一定的静压差,通常静压差是多少(Pa)?A. 1B. 5C.10D.1517.余压阀用砝码的调置来平衡风量,一般通过余压阀的风量是下列哪一组数据(m3/min)?A.5~20B.8~25C.10~25D.10~3018.洁净室排风系统设计时,是否采取防止室外气流倒灌措施?A.不采取B.宜采取C.应采取D.必须采取19.检漏试验指检查。
A.空气过滤器与安装框架连接部位等的密封性B.空气过滤器的泄漏情况C.以上两者D.以上两者之一20.讨论过滤机理时,颗粒物被过滤介质阻截,主要机理有:B.惯性、重力、筛阻C.惯性、扩散、静电D.惯性、重力、静电21.在玻璃纤维过滤材料中,粉尘与滤材的结合力主要为:A.万有引力B.范德瓦尔斯力C.氢键力D.库仑力22.一般情况下,提高过滤风速,过滤器对0.5μm粉尘的过滤效率会:A.提高B.降低C.无变化D.高效过滤器降低,其它过滤器提高23.温度提高,过滤器效率的变化趋势为:A.大颗粒效率降低,小颗粒效率提高B.大颗粒效率提高,小颗粒效率降低C.大小颗粒都降低D.大小颗粒都提高24.过滤器效率与粉尘尺寸有关,最难过滤粉尘的粒径称MPPS。
当提高过滤风速50%,MPPS会:A.向小粒径方向漂移B.向大粒径方向漂移C.没有明显变化D.先向小粒径方向漂移,而后向大粒径方向漂移25.假设某洁净室中≧0.1μ的粒子个数为500/立方米,求≧0.3μ的粒子个数。
天津大学2006~2007学年第二学期期末考试试卷答案
天津大学试卷专用纸学院专业班年级学号姓名共 5 页第1 页天津大学试卷专用纸学院专业班年级学号姓名共 5 页第2 页11.下列金属硫化物中,可溶于稀盐酸的是______。
(A) ZnS (B) PbS (C) CuS (D) Ag2S12. 下面三种物质热稳定性顺序正确的是______。
(A) NH4HCO3<Na2CO3<Ag2CO3 (B) NH4HCO3<Ag2CO3<Na2CO3(C) Na2CO3<NH4HCO3<Ag2CO3 (D)Ag2CO3<NH4HCO3<Na2CO313.下列关于硼酸结构的叙述错误的是_______.(A) 硼酸为白色片状晶体,其结构单元为平面三角形的B(OH)3(B) 硼原子通过sp3杂化轨道与三个OH基团成键(C) 分子间通过氢键形成接近于六角形的对称层状结构(D) 层与层间以范德华力联系14.仅用一种试剂就可以将Ag+, Hg2+, Zn2+, Fe3+, Ni2+ 5种离子区分开,这种试剂可选用_________。
(A) NaCl(B) NaOH (C) K2SO4 (D)H2SO415. 下列有关碱金属过氧化物性质的描述不正确的是_________。
(A)过氧离子中的O-O键不如氧分子中的O-O键牢固(B)碱金属过氧化物具有氧化性(C)碱金属过氧化物具有还原性(D)碱金属过氧化物与冷水反应可生成H2O2, 所以H2O2可看作过氧离子的共轭酸16. 向下列溶液中加入AgNO3溶液,析出黑色沉淀的是_________。
(A)H3PO4(B) NaH2PO4(C) H3PO2(D) Na2H2P2O717. 下列说法不正确的是_________。
(A)还原性HClO4 > HClO3 > HClO(B)热稳定性NaClO > NaClO3 > NaClO4(C)氧化性NaClO >> NaClO3 > NaClO4(D)酸性HClO4 > HClO3 > HClO18. 有关HgCl2和Hg2Cl2的描述不正确的是_________。
天津大学elearning英语题库
天津大学elearning英语题库1、Every morning John takes a()to his office. [单选题] *A. 20-minutes' walkB. 20 minute ' walkC. 20-minutes walkD. 20-minute walk(正确答案)2、( ) ____ eye exercises ___ good __ your eyes. [单选题] *A. Doing, is, for(正确答案)B. Doing, are, forC. Do, is, forD. Do, are, at3、_____ the project, we'll have to work two more weeks. [单选题] *A. CompletingB. CompleteC. Having completedD.To complete(正确答案)4、Before leaving the village, he visited the old house _____ he spent his childhood. [单选题] *A in which(正确答案)B. whichC. to whichD at which5、—______ do you pay for it? —Over the Internet. ()[单选题] *A. WhatB. How muchC. How(正确答案)D. When6、The travelers arrived _______ Xi’an _______ a rainy day. [单选题] *A. at; inB. at; onC. in; inD. in; on(正确答案)7、——Can you come on Monday or Tuesday? ——Im afraid()of them is possible. [单选题] *A.neither(正确答案)B. eitherC. noneD.both8、92.China is a big country ________ a long history. [单选题] *A.hasB.haveC.with(正确答案)D.there is9、—Are these your sheep? [单选题] *A)on grass at the foot of the hill.(正确答案)B. feedC.is fedD. is feeding10、We need some green paint badly, but there' s _____ at hand. [单选题] *A. notB. nothingC. little(正确答案)D. none11、I haven’t met him _____ the last committee meeting. [单选题] *A. forB. since(正确答案)C. atD. before12、There are many beautiful _______ in the wardrobe. [单选题] *A. bookB. dresses(正确答案)C. cell phoneD. grocery13、Mom, I need you ______ me a pencil box.()[单选题] *A. buyB. buyingC. to buy(正确答案)D. to buying14、What _______ would you like, sir? [单选题] *A. otherB. else(正确答案)C. othersD. another15、You can't rely on Jane as she is _____ changing her mind and you will never know what she is going to do next. [单选题] *A. occasionallyB. rarelyC. scarcelyD. constantly(正确答案)16、The family will have _______ good time in Shanghai Disneyland. [单选题] *A. theB. a(正确答案)C. anD. /17、_______, making some DIY things is fashionable. [单选题] *A. Stand outB. In ones opinionC. In my opinion(正确答案)D. Out of fashion18、They might have found a better hotel if they _________ a few more kilometers. [单选题]*A. droveB. would driveC. were to driveD. had driven(正确答案)19、69.Online shopping is easy, but ________ in the supermarket usually ________ a lot of time. [单选题] *A.shop; takesB.shopping; takeC.shop; takeD.shopping; takes(正确答案)20、—______?—He can do kung fu.()[单选题] *A. What does Eric likeB. Can Eric do kung fuC. What can Eric do(正确答案)D. Does Eric like kung fu21、Julia’s on holiday in Shanghai _______. [单选题] *A. in a momentB. after a momentC. at the moment(正确答案)D. at any moment22、_______ hard, _______ you’ll fail in the exam. [单选题] *A. Studying; forB. Study; or(正确答案)C. To study; andD. Study; and23、During the Mid-Autumn Festival, family members often gather together _________ ameal, admire the moon and enjoy moon cakes. [单选题] *A. shareB. to share(正确答案)C. having sharedD. shared24、60.—Are you ready?—Yes. We can start ________ any time. [单选题] *A.at(正确答案)B.inC.toD.for25、Don’t forget _______ those books when you are free. [单选题] *A. to read(正确答案)B. readingC. readD. to reading26、Mrs. Green has given us some _______ on how to study English well. [单选题] *A. practiceB. newsC. messagesD. suggestions(正确答案)27、I have only two tickets for TF Boys’concert. ______ you ______ he can go with me.()[单选题] *A. Either; or(正确答案)B. Either; norC. Both; andD. Not only; but also28、My English teacher has given us some _______ on how to study English well. [单选题] *A. storiesB. suggestions(正确答案)C. messagesD. practice29、We _______ swim every day in summer when we were young. [单选题] *A. use toB. are used toC. were used toD. used to(正确答案)30、A lot of students in our school were born _______ March, 1 [单选题] *A. in(正确答案)B. atC. onD. since。
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6.在科学与工程计算中,常常使用分段低次插值,这是为了避免 。
7.若用线性最小二乘法拟合数学模型 ,其中 是待定参数,那么如何将其线性化: 。
8.利用三点Gauss-Legendre求积公式计算积分 的数值计算公式为
。
9.建立常微分方程初值问题 , 的计算格式有三种基本方法,它们是 ;改进Euler公式为 ,它是 阶方法。
天津大学试卷专用纸
学院专业班年级学号姓名B卷共三页第1页
2008~2009学年第一学期期末考试试卷
《数值计算方法与Matlab》(B卷共三页)
(考试时间:2008年12月30日)
题号
一
二
三
成绩
核分人签字
得分
一、填空题:(共42分,每空3分)按要求把正确的答案填在每题中的横线上方。
1.在科学与工程计算中,不可避免地要遇到各种误差中,其中数值计算方法可以处理的误差是 。
2.设 , ,则 。当b有误差 时,其中 ,引起解向量x的为误差x,则 的上界为 。
3.已知函数 的三对数据(0,1),(-1,5)(2,-1),则其关于这三点的二阶差商 ,过此三点的Lagrange插值多项式为 。
4.已知函数 在 2.5,2.7和2.9处的函数值分别为12.1825,14.8797和18.1741。若用三点数值微分公式计算,则在x=2.7处的函数一阶和二阶导数的近似值分别为 和 (保留5位有效数字)。
4.用n=4的复化Simpson公式计算积分 的近似值;与真值比较它有几位有效数字。
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三、应用题:(共22分,每小题11分)
1.隧道二极管电路的状态模型由下式给出:
其中 表示 对时间t的导数, 是一给定函数。系统在初始时刻状态 。该系统的右边项不显含时间t,称之为自治系统。写出用经典四阶Runge-Kutta方法解此初值问题的计算格式。
2.已知离散数据如下:
xk
0.1
0.2
0.3
0.4
0.5
yk
80.4
53.9
36.1
24.2
16.2
试用最小二乘法求出经验公式 中的 。(结果保留3位小数)
二、解下列各题:(共36分,每小题9分)
1.确定下列求积公式中的待定参数,使其代数精度尽量高,并指出所确定的求积公式的代数精度。
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学院专业班年级学号姓名B卷共三页第2页
2.写出用Gauss-Seidel迭代法求解线性代数方程组 的迭代格式,并判断它的敛散性。
3.已知函数 在 处的数值分别为1,3,5,12。试用3次Newton插值公式计算 和 的近似值。