Influence of Material Ratio on Controlled Cross-linking Process

Influence of Material Ratio on Controlled Cross-linking Process
Influence of Material Ratio on Controlled Cross-linking Process

Influence of Material Ratio on Controlled Cross-linking

Process

Fangxing Li, Ruimin Sun, Jun Chen, Dongping Liu

Department of Chemistry, Nankai University, Tianjin, 300071

E-mail: lifangxing@https://www.360docs.net/doc/5613729943.html,

Abstract

There exist intra- and intermolecular reactions in a controlled cross-linking system, and whether cross-linking process and molecular weight of product can be controlled depends on the two reactions. Soluble cross-linked macromolecule is synthesized by changing material ratio resulting in that the number of intermolecular reaction is controlled to a certain extent and molecular weight can’t increase illimitably. Though material ratio is a common chemical reaction condition, it has been proved that it can influence and control chain growth in cross-linking process in the paper. Keywords: inter- and intramolecular reactions, cross-linking process, material ratio.

Introduction:Linear, branched, star, combed, and cycled macromolecules all exhibit plain zigzag structures when fully stretched out, though their configurations are quite diverse. However, soluble cross-linked macromolecule is 3-d network structure, based on which there are more space to design molecule structure and novel material. Moreover, soluble cross-linked macromolecule has special characteristic. Therefore, it is an interesting study to investigate the control of cross-linking process. People have been able to synthesize soluble cross-linking macromolecule only using special experiment technique for a long time, but the question controlling cross-linking process hasn’t been solved.[1~9]

We have present the mechanism controlling cross-linking process in our paper in China Sciencepaper Online. On the base of the mechanism, a polymerization system, in which chain growth can be controlled, is designed, and soluble cross-linked macromolecule is formed [10]. There exists a pair of competitive reactions, viz, intra- and intermolecular reactions in the controlled cross-linked polymerization system [11~15]. Intramolecular reaction can’t increase molecular weight, and the more the number of intramolecular reaction is, the lower molecular

weight is. On the contrary, intermolecular reaction can increase molecular weight, and the more the number of intermolecular reaction is, the higher molecular weight is. Consequently, to control cross-linking process is to control the proportion of intra- and intermolecular reactions. It is worth to think whether the proportion of intra- and intermolecular reactions can be controlled using common chemical reaction conditions, such as: material ratio, concentration, catalyst, temperature, and so on.

Intra- and intermolecular reactions exist in the same polymerization, so it is important whether their reaction rates can change differently after the above conditions change. In fact, there is complete different environment in intra- and intermolecular reactions, their answers to reaction conditions changing are different. In the paper, it has been found that cross-linking process can be controlled by changing material ratio to limit the number of intermolecular reaction.

1. Experiment

1.1 Synthesis of Polyvinyl Butyral (PVB)

1.1 Synthesis of Polyvinyl Butyral (PVB)

The polymerization was carried out in a three-neck flask of 5000 mL equipped with a stirring bar. 260g of PV A was added firstly into 3000mL water and was dissolved in 80o C. After mixture was cooled to room temperature, 100mL of n-Propanoic acid and 10mL of 36% hydrochloric acid were added, and 168mL and 252mL of n-butyl aldehyde respectively, thus, two kinds of samples would be produced. Reaction mixture solution became cloudy after 30 mins, and it increased to 65o C 2h later and continued to react for another 4h, the solution became clear again. The solution was washed to be neutral after experiments finished. At last, hydroxyl number of samples was examined after samples were dried. Parameters of the two samples are listed in Table 1.

Table 1 Parameters of PVB samples

No. A B Hydroxyl number 132.0 58.4

Functionality a197 86 a: average number of –OH on a molecular chain.

1.2 Synthesis of Soluble Cross-linked Macromolecules

1.0265g of PVB with 132 hydroxyl number was first dissolved in 10mL DMF in a reaction vessel, then 0.1523g MDI dissolved in 5mL DMF in a Erlenmeyer was added into the vessel, and the

Erlenmeyer was washed with 5mL DMF for three times and it was also poured into the vessel. Gelation occurred after a certain time, and gelation time was recorded exactly. In the paper gelation solution was called gel. Gelation solution continues to react for 4h at room temperature and at 80o C, respectively. A serial of gels were formed according to different molar ratio of MDI and OH.

1.3. Solubility estimation of gel

1g of the gel synthesized above was added into 30mL DMF, and the mixture was placed and shaken unceasingly at room temperature, if the gel couldn’t be dissolved after 4 hours, the mixture was refluxed at 156 o C for 12h. If the gel still couldn’t be dissolved, the gel was regarded as insoluble; otherwise, it was looked as soluble.

2.Results and Discussion

2.1 Polymerization

Reactions in this paper are shown in Scheme 1:

CH2CH

O CH2CH

O

CH2CH

OH

CHCH2CH2CH3CH2CH

OH

+

A

CH2

OCN NCO

CH2CH

O

CH2CH

O

CH2CH

CHCH2CH2CH3

CH2CH

OH

OCNH R

O

NCO

B

R=CH2

Scheme 1 Prepolymer Synthesized from PVB and MDI with -OOCNH-, -OH and -NCO Groups

on the Chain

A is the molecular formula of PV

B that contains –OH and –OCH(CH2CH2CH3)O- groups on its chain; B is the prepolymer from PVB and MDI. There are –OOCNH- ,–NCO –OH and –OCH(CH2CH2CH3)O-groups on the chain of prepolymer, and –NCO can react with hydrogen atom in –OOCNH- and –OH, so B is the prepolymer containing a pair of competitive groups. In Figure 2, there are intra- and intermolecular reactions in the controlled cross-linking polymerization.

1-1 1-2

Fig 1 Sketch for Reaction of PVB and MDI

? : MDI molecule

: -NCO group

? : -OCONH- group

2.2 Controlled cross-linking process and ICM’s structure.

197PVB-0.25-a 197PVB-0.25-b 197PVB-0.25-c

197PVB-0.25-d 197PVB-0.2-a 197PVB-0.2-b

Figure2TEM Pictures of 197PVB Samples

In Figure2, there are TEM pictures of ICM formed in 197PVB-0.25 and 197PVB-0.2 experiments. As is shown in TEM picture, each ICM is composed of lots of globules, showing that the globules are formed at the early stage in polymerization process, and ICM is formed by remanent functional groups on the surface of globules continuing to react. It means that there exist two kinds of reaction processes in the controlled cross-linking polymerization. In the first process, prepolymers react with each other to form greater and greater coils [11], and cross-link degree increases gradually with intra- and intermolecular reactions in coils; molecular weight increases

by intermolecular reaction, at last, globules with certain molecular weight and steady structure are formed. In the second process, remanent groups on the surface of globules continue to react with each other, and some globules are linked together to form ICM. It can be seen that the two processes can be looked as special chain growth in the controlled cross-linked polymerization process and the link of ICM is composed of globules. Therefore, ICM’s segment is different with that of linear polymer. Thus, ICM in the paper must be different with linear polymer.

There exist two polymerization processes in the controlled system, so ICM has two kinds of network structures. C-C link is formed in the first process, and in the paper, the network formed by C-C links is called chemical network; network structure formed by globules is called physical network.

Table 2Experimental Results of 197PVB

No. PVB (g) MDI

(g) M c NCO:OH (mol:mol)

DC (%) Gelation time (h)a Solubility 197PVB-0.50 1.0265 0.1523 644 1:2

12.920.35 -b 197PVB-0.33 1.1237 0.1107 928 1:3

9.75 0.65 ++c 197PVB-0.25 1.1613 0.0837 1245 1:4

6.72 0.90 ++ 197PVB-0.20 1.1394 0.0708 1441 1:5

5.81 1.8 +d 197PVB-0.17 1.0140 0.0497 1773

1:6 4.67 NO a : Gelation time. b : -Gel is insoluble. c : ++ Gel is soluble when refluxed in DMF. d : + Gel is soluble at room temperature.

197 and 0.5 in 197PVB-0.5 are functionality of PVB and molar ratio of NCO and OH respectively.

2.3 Linking of Pre-ICM

In the above section, it has been discussed that ICM is formed by globules. In the paper, therefore, the globule is called pre-ICM. It can be found from Figure 1 that there are two kinds of linking methods about ICM. One is linearly-linking, for example, 197PVB-0.2-a in Figure 2. There is also linearly-linking in 197PVB-0.25-b, but it is less obvious than that in 197PVB-0.2-a. The other is accumulating-linking, such as: 197PVB-0.25-b and 197PVB-0.25-c. Maybe the different linking methods are relational with amount of the remanent groups on the surface of globules. From Figure 2, it can be known that pre-ICM has large molecular weight, thus, it is difficult to link two globules by one single bond. If there is only one single bond to link two globules, the single bond would rupture because it couldn’t support the strain between two

globules. Thereby, there must be many single bonds to link globules so that globules can be linked steadily. Like these bonds is called “bond-cluster” in the paper. If there are not enough remanent groups on the surface of globules, globules will be linked in linearly-linking by two “bond cluster”; if there are enough remanent groups, globules will be linked in accumulating linking. The figures of 197PVB-0.25-a and 197PVB-0.25-b show almost nubby structure, maybe because there are too many remanent groups on the surface of the globules to lead to accumulate them closely.

2.4 Effect of molar ratio of NCO and OH on cross-linking process

Effect of molar ratio of NCO and OH on cross-linking process is the effect of material ratio on cross-linking process. In Table 2, experimental results of 197PVB are listed. From Table 2, it can be known that the gel in 197PVB-0.5 experiment, in which molar ratio of NCO: OH is 0.5, is insoluble, showing the number of intermolecular reaction is too more, resulting in all materials react together, or only one macromolecule is formed. Molar ratio of NCO: OH in 197PVB-0.33 experiment decreases to 0.33, its product is soluble when refluxed in DMF, showing the number of intermolecular reaction is not too more. It can be concluded that if amount of MDI used decreases, the number of MDI in outside coils also decreases, and the number of intermolecular reaction decreases, thus, soluble macromolecule with cross-linked structure is formed. But the gel in 197PVB-0.33 experiment is soluble only when refluxed at 156oC in DMF. Molar ratio of NCO: OH in 197PVB-0.25 experiment is 0.25, but the gel formed is soluble only when also refluxed in DMF. It means that amount of MDI used decreases, but the number of intermolecular reaction is still enough to form macromolecule with large molecular weight. Molar ratio of NCO: OH in 197PVB-0.2 experiment is 0.2, and the gel formed in the system is soluble in DMF at room temperature, which shows though the gel have cross-linked structure, its entanglement isn’t stronger than that of gels in 197PVB-0.33 and 197PVB-0.25. Molar ratio of NCO: OH in 197PVB-0.17 is 0.17, gelation don’t occur during experiment period, which shows that amount of MDI used is too little so that the number of intermolecular reaction is too little and molecular weight is not enough large. Thus, cross-linking process is controlled. Therefore, in the controlled cross-linked polymerization, soluble cross-linked macromolecule can be synthesized by changing material ratio to limit chain growth illimitably.

2.5. Effect of functionality on cross-linking process

Functionality is the number of groups on molecular chain. Take 197PVB and 86PVB for

example, there contains 197 –OH (the other groups aren’t contained) on average every molecular chain of 197PVB, while there contains only 86 –OH on the chain of 86PVB. Functionality difference of 197PVB and 86PVB leads to the different experimental results. Experimental results of 86PVB are listed in Table 3. Table 3 Results of Samples in 86PVB Reacted with MDI

No. PVB (g) MDI

(g) M c NCO:OH (mol:mol)

DC (%) Gelation time (h) Solubility 86PVB-1.20 1.0243 0.1610 697 1.2:1

13.58 1.2 - 86PVB-1.00 1.0657 0.1404 718 1:1 11.4 2.7

++ 86PVB-0.75 1.0058 0.0993 929 0.75:1 8.99 3.8

+ 86PVB-0.50 1.0656 0.0700 1352 1:2 6.16

NO In Table 3, molar ratio of NCO: OH in 86PVB-1.2 experiment is 1.2, the gel formed is soluble. The molar ratio is the lowest in the serial experiments in which the gel formed are insoluble. While, in the serial experiments of 197PVB, the lowest molar ratio is 0.5 when the gel formed is insoluble. The lowest molar ratio is an important parameter comparing the two serials of experiments in the paper. Molar ratio of NCO: OH in 86PVB-1 experiment is 1, the product is soluble when refluxed in DMF, and the molar ratio is the highest in the serial experiments in which the gel formed are soluble. The highest molar ratio is also an important parameter comparing the two serials of experiments in the paper. In the two serial experiments, due to their different functionality, the two parameters are different respectively. In the serial of 197PVB experiments, because –OH is more on molecular chain, -OH is more on the surface of coils, intermolecular reaction can occur when only little MDI exists outside coils. In the serial of 86PVB experiments, the number of –OH obviously decreases, only when more MDI is added, intermolecular reaction can occur, resulting in that the gel can be insoluble. The difference shows that the less functionality on the chain is, the easier cross-linking process is controlled. Take 86PVB-1.2 experiment for example, the number of NCO is more than that of OH, superfluous NCO groups will react with hydrogen atom in –OOCNH-. Comparing the experimental results in Tables 2 and 3, it can be found that functionality have various influence to cross-linking process. Conclusions: In the controlled cross-linking polymerization system, cross-linking process can be controlled and soluble cross-linked macromolecule can be synthesized by changing material ratio.

Moreover, there exist critical molar ratio of NCO and OH, if molar ratio of NCO: OH is more than the critical molar ratio, the gel formed will be insoluble; only when molar ratio of NCO: OH in reaction system is less than the critical molar ratio, the gel formed can be soluble.

References

1. Staudinger, H.; Husemann, E. Ber., 1935, 68, 1618.

2. Miyata, M.; Funke, W. Makromol. Chem.1983, 184, 755.

3. Funke, W.; Walther, K. Polym. J.1985, 17, 179.

4. Zhao, Y.; Zhang, G. Z.; Wu, C. Macromolecules2001, 34, 7804.

5. Lindenblatt, G.; Schartl, W.; Pakula, T.; Schmidt, M. Macromolecules2000, 33, 9340.

6. Fernández-Nieves, A.; Fernández-Barbero, A.; Vncent, B.; de las Nieves, F. J. Macromolecules

7. Kim, K. S.; Cho, H. S.; Shin, J. S. Polym. J.1995, 27, 508.

8. Kim, K. S.; Cho, H. S.; Kim, Y. J. Polym. J.1993, 25, 847.

9. Downey, J. S.; McIsaac, G.; Frank, R. S.; St?ver, H. D. H. Macromolecules2001, 34, 4534.

10. Li, F. X; Liu, D. P.; Sun, R. M.; Chen J. China Sciencepaper Online. Published on 2005-11-08.

11. Li,F.X; Liu, Z. F; Qian, H. T; Rui, J. M; Chen, S. N; Jiang, P; An, Y. L; Mi, H. F. Macromolecules 2004,37,764

12. Li,F.X; Liu, Z. F; Liu, X. P; Yang, X. Y; Chen, S. N; An, Y. L; Zuo, J; He, B. L. Macromolecules 2005,38,69

13. Li, F. X.; Zuo, J.; Song, D. H.; Li, Y. T.; Ding, L. H.; An, Y. L.; Wei, P.; Ma, J. B.; He, B. L. Eur. Polym. J. 2001,37, 193-199.

14. Chen, S. N; Rui, J. M; Yang, X. Y; Yu, F. F.; An, Y. L; Zuo, J.; Li,F.X; He, B. L Acta Polymerica Scinca, 2003, 5, 673

15. Li, F. X; Rui, J. M.; Wu, X.; Chen, S. N; Yang, X. Y; Liu, Z. F; An, Y. L; Zuo, J. Ion permutation and adsorption. 2004, 20(3), 237

情态动词表推测用法总结及专项练习

情态动词表推测用法总结及专项练习 1.can / could用于表推测的用法 (1) 从使用句型上看,can 通常只用于否定句或疑问句,一般不用于肯定句,而could 可用于肯定句、否定句和疑问句。两者没有时间上的差别,只是could 比can 更委婉,更不确定。如:It can’t [couldn’t] be true. 那不可能是真的。 What can [could] they be doing? 他们会在干什么呢? We could go there this summer. 今年夏天我们可能要去那儿。 注:can 有时也用于肯定句中表示推测,主要用于表示理论上的可能性(即从理论上看是可能的,但实际未必会发生),或表示“有时”之意。如: Even experienced teachers can make mistakes. 即使是有经验的教师也可能出错。 She can be very unpleasant. 她有时很令人讨厌。 (2) 从时间关系看,对现在或将来情况作推测,后接动词原形;对正在进行的情况作推测,后接be doing 结构;对过去情况作推测,后接动词完成式。如: He could have gone home. 他可能已经回家了。 He can’t [couldn’t] have understood. 他不可能理解了。

Why does he know this? Can [Could] someone have told him about it? 他怎么知道? 会是哪个人告诉他了吗? (3) “could+完成式”除表示对过去的推测外,还有以下重要用法: ①表示过去没有实现的可能性,常译为“本来可以”。如: I could have lent you the money.Why didn’t you ask me? 我本来可以借这笔钱给你的。你为什么不向我提出? ②用来委婉地责备某人过去应该做某事而没有去做,常译为“本来应该”。如: You could have helped him. 你本来应该帮助他的。 ③表示“差点儿就要”。如: I could have died laughing. 我差点儿笑死了。 2. may / might用于表推测的用法 表示推测,两者都可用,只是might 比may 语气更不确定,表示的可能性更小。 (1) 在句型使用方面:两者均可用于肯定句和否定句,但用于疑问句时,may通常不用于句首,但可用于疑问句的句中(如特殊疑问句等),而might尽管可以用于疑问句的句首,但不算普通,通常会改用其他句式(如用could等)。如: He may [might] know the answer. 他可能知道答案。

on the contrary的解析

On the contrary Onthecontrary, I have not yet begun. 正好相反,我还没有开始。 https://www.360docs.net/doc/5613729943.html, Onthecontrary, the instructions have been damaged. 反之,则说明已经损坏。 https://www.360docs.net/doc/5613729943.html, Onthecontrary, I understand all too well. 恰恰相反,我很清楚 https://www.360docs.net/doc/5613729943.html, Onthecontrary, I think this is good. ⑴我反而觉得这是好事。 https://www.360docs.net/doc/5613729943.html, Onthecontrary, I have tons of things to do 正相反,我有一大堆事要做 Provided by jukuu Is likely onthecontrary I in works for you 反倒像是我在为你们工作 https://www.360docs.net/doc/5613729943.html, Onthecontrary, or to buy the first good. 反之还是先买的好。 https://www.360docs.net/doc/5613729943.html, Onthecontrary, it is typically american. 相反,这正是典型的美国风格。 222.35.143.196 Onthecontrary, very exciting.

恰恰相反,非常刺激。 https://www.360docs.net/doc/5613729943.html, But onthecontrary, lazy. 却恰恰相反,懒洋洋的。 https://www.360docs.net/doc/5613729943.html, Onthecontrary, I hate it! 恰恰相反,我不喜欢! https://www.360docs.net/doc/5613729943.html, Onthecontrary, the club gathers every month. 相反,俱乐部每个月都聚会。 https://www.360docs.net/doc/5613729943.html, Onthecontrary, I'm going to work harder. 我反而将更努力工作。 https://www.360docs.net/doc/5613729943.html, Onthecontrary, his demeanor is easy and nonchalant. 相反,他的举止轻松而无动于衷。 https://www.360docs.net/doc/5613729943.html, Too much nutrition onthecontrary can not be absorbed through skin. 太过营养了反而皮肤吸收不了. https://www.360docs.net/doc/5613729943.html, Onthecontrary, I would wish for it no other way. 正相反,我正希望这样 Provided by jukuu Onthecontrary most likely pathological. 反之很有可能是病理性的。 https://www.360docs.net/doc/5613729943.html, Onthecontrary, it will appear clumsy. 反之,就会显得粗笨。 https://www.360docs.net/doc/5613729943.html,

不及物动词归纳

1.只是不及物的: faint,hesitate,lie,occur,pause,rain,remain,sleep,sneeze. 2.常见的及物,不及物的: answer,ask,begin,borrow,choose,climb,dance,eat,enter,fail,f ill,grow,help,hurry,jump,know,leave,marry,meet,obey,pull,re ad,see,sell,touch,wash,watch,win,write 3.及物不及物意义变化的lift.升高beat vi.跳动vt. 敲、打; grow vi.生长vt. 种植play vi.玩耍vt. 打(牌、球),演奏smell vi.发出(气味)vt. 嗅ring vi.(电话、铃)响vt.打电话speak vi.讲话vt. 说(语言)hang vi. 悬挂vt. 绞死operate vi.动手术vt. 操作 4.意义不变的 start, answer, sing, close, consider, insist, read, learn, prepare, pay, hurt, improve....

live, go, work, listen, look, come, die, belong, fa ll, exist, rise, arrive, sit, sail, hurry, fail, su cceed. agree... 不及物动词 agree, go, work, listen, look, come, die, belong, f all, exist, rise, arrive, sit, sail, hurry, fail, s ucceed、beat、buy, catch, invent, found, like, obs erve, offer, prevent, promise, raise, find, forget, receive, regard, see, say, seat, supply, select, s uppose, show, make, take, tell 6.不及物动词短语 down (stop functioning 坏了,不好使了) That old Jeep had a tendency to break down just w hen I needed it the most. on (become popular 出名) Popular songs seem to catch on in California first and then spread eastward. 3. come back ( return to a place 返回)

(完整版)工程经济公式汇总

工程经济计算公式汇总0921 1、利息I=F=P I-利息;(interest) F-目前债务人应付总金额,即还本付息总额; P-原借贷金额,即本金。(Principal) 2、利率i=It/P I-利率 It-单位时间内所得的利息额 3、单利It=P×i单 It-第t计息周期的利息额;P-本金;i单-计息周期单利利率4、第n期末单利本利和F=P+In=P(1+n×i单) In-n个计息周期所付或所收的单利总利息 5、复利It=i×F t-1 I-计息周期复利利率;F t-1——表示第(t-1)期末复利本利和。 6、第t期末复利本利和F t=F t-1×(1+i) 7、净现金流量(CI-CO)t 8、一次支付n年末终值(即本利和)F=P(1+i)n 其中(1+i)n称之为一次支付终值系数 9、等额支付系列现金流量 P=A1(1+i)-1+A2(1+i)-2+......+A n(1+i)-n=∑A t(1+i)-t F=∑A t(1+i)n-t=A[(1+i)n-1]/i 其中At=A=常数t=1,2,3,......,n A表示年金,发生在某一特定时间序列各计息期末(不包括零期)的等额资金序列的价值。 [(1+i)n-1]/1 称为等额支付系列终值系数或年金终值系数 10、名义利率r=i×m I-周期利率;m-计息周期数;r-名义利率 i=r/m 年本利和F=P(1+r/m)m 年利息I=f-P=P[(1+r/m)m-1] 年有效利率ieff=I/P=(1+r/m)m-1 11、投资收益率R=A/I A-技术方案年净收益额或年平均净收益额;I-技术方案投资 12、基准投资收益率Rc R>Rc 技术方案可行 R

最新英语语法情态动词归纳总结

最新英语语法情态动词归纳总结 一、单项选择情态动词 1.Mr. Smith is almost on time for everything. How ________ it be that he was late for the meeting? A.can B.should C.may D.must 【答案】A 【解析】 【详解】 考查情态动词辨析。句意:史密斯先生几乎任何事情都是准时的。他怎么可能开会迟到了? A. can可能,可能性,表示可能性时,常用于否定句和疑问句中,且有时还带有“惊奇、不相信” 等感情色彩。B. should 应该; C. may也许,表示可能性时常用于肯定句中,不用于疑问句中。D.must常用于肯定句中表推测,“一定……”的意思;本题是强调句型的一个变式:强调其特殊疑问句how的形式。根据前句“斯密斯先生几乎是很准时”可推测出“怎么可能开会迟到呢?”。根据句意可知,用于疑问句中的“可能性”且有不相信的色彩,四个选项只有“can”符合题意。故选A 【点睛】 情态动词就是表示说话者对事情的一种看法,也就是一种语气。情态动词的用法一直是命题者常设置的考点和重点,平时要加强记忆。 2.--- Oh, my God! I just missed the last bus back home. --- That’s really bad. I’m sure you ______ it, but you just didn’t hurry up. A.had caught B.could have caught C.could catch D.can catch 【答案】B 【解析】 【详解】 考查情态动词+have done结构。句意:——哦,我的上帝!我刚好错过了回家的末班车。——这是非常糟糕的。我肯定你能赶上,但你就是不抓紧。could have done“本来能做而没有做”。故选B。 3.-- Did Jim come? -- I don’t know. He _______ while I was out. A.might have come B.might come C.must have come D.should have come 【答案】A 【解析】 【详解】 考查情态动词推测用法。句意:Jim来了吗?--我不知道,在我不在的时候,可能来过。根据前文I don’t kn ow.可知,说话者不知道Jim来没来,因此后文推测来过,但是语气很不确定,故可知选A。对过去情况的推测为情态动词+have done,must have done 一定做了某

英语造句

一般过去式 时间状语:yesterday just now (刚刚) the day before three days ag0 a week ago in 1880 last month last year 1. I was in the classroom yesterday. I was not in the classroom yesterday. Were you in the classroom yesterday. 2. They went to see the film the day before. Did they go to see the film the day before. They did go to see the film the day before. 3. The man beat his wife yesterday. The man didn’t beat his wife yesterday. 4. I was a high student three years ago. 5. She became a teacher in 2009. 6. They began to study english a week ago 7. My mother brought a book from Canada last year. 8.My parents build a house to me four years ago . 9.He was husband ago. She was a cooker last mouth. My father was in the Xinjiang half a year ago. 10.My grandfather was a famer six years ago. 11.He burned in 1991

lie-lie-lay三个动词的区别

动词lie,lie,lay的区别 1)lie用作规则动词(lie,lied,lied)时意为“说谎”。如: ①He wasn't telling the truth. He lied again/He was lying. 他没讲实话,他又撒谎了。/他在撒谎。 ②She lied to us about her job. 她就她的工作对我们撒了谎。 ③Your watch must be lying. 你的表肯定不准。 【注意】表示这一意思时,lie可用作名词。我们一般说tell a lie或tell lies,而不说say/talk/speak a lie(或lies)。再如:Lies cannot cover up facts.(谎言掩盖不了事实。)如要说“我痛恨说谎话”,可以说I hate lying或I hate telling lies,一般不说I hate lie或I hate to lie。hate to lie尽管句法正确,但似乎含有“虽然不愿,但仍不得不说谎”之意。

2)lie用作不规则动词(lie,lay,lain)时,表示“躺”,“(东西)平放”,“位于”等意。如: ①He's still lying in bed. 他还躺在床上。 ②He felt tired, so he went and lay down for a rest. 他感到疲劳,所以去躺下休息了。 ③His books lay open on the desk when I went in. 我进去时,发现他的书平摊在书桌上。 ④Snow lay thick on the fields. 田野里覆盖着厚厚的一层雪。 ⑤Don't leave your things lying about. 别把东西四处乱丢。

建设工程经济公式汇总

一级建造师《建设工程经济》计算公式汇总 1、单利计算 式中It——代表第t计息周期的利息额;P——代表本金;i单——计息周期单利利率。 2、一次支付的终值和现值计算 ①终值计算(已知P求F即本利和) ②现值计算(已知F求P) 3、等额支付系列的终值、现值、资金回收和偿债基金计算 等额支付系列现金流量序列是连续的,且数额相等,即: ①终值计算(即已知A求F) ②现值计算(即已知A求P) ③资金回收计算(已知P求A) ④偿债基金计算(已知F求A) 4、名义利率r 是指计息周期利率:乘以一年内的计息周期数m所得的年利率。即: 5、有效利率的计算 包括计息周期有效利率和年有效利率两种情况。 (1)计息周期有效利率,即计息周期利率i,由式(1Z101021)可知(1Z101022-1) (2)年有效利率,即年实际利率。 年初资金P,名义利率为r,一年内计息m次,则计息周期利率为。根据一次支付终值公式可得该年的本利和F,即:根据利息的定义可得该年的利息I 再根据利率的定义可得该年的实际利率,即有效利率ieFF 6、财务净现值(1Z101035) 式中FNPV——财务净现值; (CI-CO)t——第t年的净现金流量(应注意“+”、“-”号); ic——基准收益率; n——方案计算期。 7、财务内部收益率(FIRR——FinanciallnternaIRateoFReturn) 其实质就是使投资方案在计算期内各年净现金流量的现值累计等于零时的折现率。其数学表达式为:(1Z101036-2) 式中FIRR——财务内部收益率。 8、投资收益率指标的计算 是投资方案达到设计生产能力后一个正常生产年份的年净收益总额(不是年销售收入)与方案投资总额(包括建设投资、建设期贷款利息、流动资金等)的比率:(1Z101032-1)

英语情态动词用法总结(完整)

英语情态动词用法总结(完整) 一、单项选择情态动词 1.--- Difficulties always go with me! --- Cheer up! If God closes door in front of you, there be a window opened for you. A.must B.would C.could D.can 【答案】A 【解析】 【详解】 考查情态动词辨析。句意:——困难总是伴随着我!——高兴点! 如果上帝在你面前关上了门,一定有一扇窗户为你打开。A. must必须;B. would将要;C. could能,会;D. can能,会。must表示对现在的状态推测时,意为“一定”,表示可能性很大的推测。符合语境。故选A。 【点睛】 1) must用在肯定句中表示较有把握的推测,意为"一定"。 2) must表对现在的状态或现在正发生的事情的推测时, must 后面通常接系动词be 的原形或行为动词的进行式。 3) must 表示对已发生的事情的推测时,must 要接完成式。 4) must表示对过去某时正发生的事情的推测,must 后面要接完成进行式。 5) 否定推测用can't。 本句中的。must表示对现在的状态推测时,意为一定,表示可能性很大的推测。符合第2点用法。 2.Paul did a great job in the speech contest. He many times last week. A.need have practised B.might practise C.must have practised D.could practise 【答案】C 【解析】 【详解】 考查情态动词。句意:保罗在演讲比赛中表现得很好。他上星期一定练习了很多次。must have done是对过去发生的动作最有把握的猜测,意思是“一定”。故C选项正确。 3.He is a bad-tempered fellow, but he ________ be quite charming when he wishes. A.shall B.should C.can D.must 【答案】C 【解析】 【详解】 考查情态动词辨析。句意:他是个脾气不好的家伙,但当他希望自己有魅力的时候,他可

lie的用法和短语例句(20201027140422)

lie的用法和短语例句 lie有躺下;位于;在于;平放;存在等意思,那么你知道lie的用法吗?下面跟着一起来学习一下,希望对大家的学习有所帮助! lie的用法: lie的用法1 : lie的基本意思是指人“平躺〔卧〕,也可表示“(使)某物平放”。 lie的用法2 : lie是不及物动词,常与around, down, in, on 等词连用,不能用于被动结构。 lie的用法3 : lie有时可用作系动词,后接形容词(而不接副词)、现在分词或过去分词作表语。 lie的用法4: lie可用于表示“存在”的There...句型中位于there 之后,主谓倒装。 lie的用法5 : lie作“展现”解时,多以物作其主语。 lie的用法6 : lie的基本意思是“说谎”,指为了欺骗别人,通过已有预谋地或故意地歪曲了事实真相而直接生硬地所说的假话,是可数 名词。 lie的用法7 :在非正式文体中,可用lying代替lie。 lie的常用短语: lie about 〔around〕(v.+adv.)

lie back (v.+adv.) lie before (v.+prep.) lie beh indl (v.+adv.) lie beh ind2 (v.+prep.) lie bey ondl (v.+adv.) lie bey ond2 (v.+prep.) lie by1 (v.+adv.) lie by2 (v.+prep.) lie dow n (v.+adv.) lie heavy on (v.+adj.+prep.) lie in1 (v.+adv.) lie in2 (v.+prep.) lie off (v.+adv.) lie on 〔upon〕(v.+prep.) lie over (v.+adv.) lie to1 (v.+adv.) lie to2 (v.+prep.) lie的用法例句: 1. The blame for the Charlest on fiasco did not lie with him. 查尔斯顿惨败错不在他。 2. Lie face upwards with a cushi on un der your head. 头枕垫子仰卧。

建设工程经济计算公式汇总

一级建造师《建设工程经济》计算公式汇总 1、等额支付系列的终值、现值、资金回收和偿债基金计算 等额支付系列现金流量序列是连续的,且数额相等,即: ) ,,,,常数(n t A A t 321 ①终值计算(即已知A 求F ) i i A F n 11 )( ②现值计算(即已知A 求P ) n n n i i i A i F P )()() ( 1111 ③资金回收计算(已知P 求A ) 111 n n i i i P A )() ( ④偿债基金计算(已知F 求A ) 1 1 n i i F A )( 2、有效利率的计算 包括计息周期有效利率和年有效利率两种情况。 (2)年有效利率,即年实际利率。 年初资金P ,名义利率为r ,一年内计息m 次,则计息周期利率为 m r i 。根据一次支付终值公式可得该年的本利和F ,即: m m r P F 1 根据利息的定义可得该年的利息I 为: 111m m m r P P m r P I 再根据利率的定义可得该年的实际利率,即有效利率i eFF 为: 11i eff m m r P I 3、财务净现值 t c t n t i CO CI FNPV 10 式中 FNPV ——财务净现值; (CI-CO )t ——第t 年的净现金流量(应注意“+”、“-”号); i c ——基准收益率; n ——方案计算期。 4、财务内部收益率(FIRR ——Financial lnternaI Rate oF Return ) 其实质就是使投资方案在计算期内各年净现金流量的现值累计等于零时的折现率。其数学表达式为:

t t n t FIRR CO CI FIRR FNPV 10 式中 FIRR ——财务内部收益率。 5、投资收益率指标的计算 是投资方案达到设计生产能力后一个正常生产年份的年净收益总额(不是年销售收入)与方案投资总额(包括建设投资、建设期贷款利息、流动资金等)的比率: %100 I A R 式中 R ——投资收益率; A ——年净收益额或年平均净收益额; I ——总投资 6、总投资收益率 总投资收益率(ROI )表示总投资的盈利水平 %100 TI EBIT ROI 式中 EBIT-----技术方案正常年份的年息税前利润或运营期内平均息税前利润; TI------技术方案总投资包括建设投资、建设期利息和全部流动资金。 7、资本金净利润率(ROE ) 技术方案资本金净利润率(ROE )表示技术方案盈利水平 %100 EC NP ROE 式中 NP----技术方案正常年份的年净利润或运营期内年平均净利润, 净利润=利润总额-所得税 EC----技术方案资本金 8、静态投资回收期 ·当项目建成投产后各年的净收益(即净现金流量)均相同时,静态投资回收期计算: A I P t 式中 I ——总投资; A ——每年的净收益。 ·当项目建成投产后各年的净收益不相同时,静态投资回收期计算: 流量 出现正值年份的净现金的绝对值 上一年累计净现金流量现正值的年份数累计净现金流量开始出 1- t P 9、借款偿还期 余额 盈余当年可用于还款的盈余当年应偿还借款额 的年份数借款偿还开始出现盈余 1-d P 10、利息备付率 利息备付率=息税前利润/计入总成本费用的应付利息。 式中:息税前利润——即利润总额与计入总成本费用的利息费用之和(不含折旧、摊销费 11、偿债备付率 偿债备付率=(息税前利润加折旧和摊销-企业所得税)/应还本付息的金额 式中:应还本付息的资金——包括当期还贷款本金额及计入总成本费用的全部利息; 息税前利润加折旧和摊销-企业所得税=净利润+折旧+摊销+利息 12、总成本 C =C F +C u ×Q C :总成本;C F :固定成本;C u :单位产品变动成本;Q :产销量 量本利模型

学生造句--Unit 1

●I wonder if it’s because I have been at school for so long that I’ve grown so crazy about going home. ●It is because she wasn’t well that she fell far behind her classmates this semester. ●I can well remember that there was a time when I took it for granted that friends should do everything for me. ●In order to make a difference to society, they spent almost all of their spare time in raising money for the charity. ●It’s no pleasure eating at school any longer because the food is not so tasty as that at home. ●He happened to be hit by a new idea when he was walking along the riverbank. ●I wonder if I can cope with stressful situations in life independently. ●It is because I take things for granted that I make so many mistakes. ●The treasure is so rare that a growing number of people are looking for it. ●He picks on the weak mn in order that we may pay attention to him. ●It’s no pleasure being disturbed whena I settle down to my work. ●I can well remember that when I was a child, I always made mistakes on purpose for fun. ●It’s no pleasure accompany her hanging out on the street on such a rainy day. ●I can well remember that there was a time when I threw my whole self into study in order to live up to my parents’ expectation and enter my dream university. ●I can well remember that she stuck with me all the time and helped me regain my confidence during my tough time five years ago. ●It is because he makes it a priority to study that he always gets good grades. ●I wonder if we should abandon this idea because there is no point in doing so. ●I wonder if it was because I ate ice-cream that I had an upset student this morning. ●It is because she refused to die that she became incredibly successful. ●She is so considerate that many of us turn to her for comfort. ●I can well remember that once I underestimated the power of words and hurt my friend. ●He works extremely hard in order to live up to his expectations. ●I happened to see a butterfly settle on the beautiful flower. ●It’s no pleasure making fun of others. ●It was the first time in the new semester that I had burned the midnight oil to study. ●It’s no pleasure taking everything into account when you long to have the relaxing life. ●I wonder if it was because he abandoned himself to despair that he was killed in a car accident when he was driving. ●Jack is always picking on younger children in order to show off his power. ●It is because he always burns the midnight oil that he oversleeps sometimes. ●I happened to find some pictures to do with my grandfather when I was going through the drawer. ●It was because I didn’t dare look at the failure face to face that I failed again. ●I tell my friend that failure is not scary in order that she can rebound from failure. ●I throw my whole self to study in order to pass the final exam. ●It was the first time that I had made a speech in public and enjoyed the thunder of applause. ●Alice happened to be on the street when a UFO landed right in front of her. ●It was the first time that I had kept myself open and talked sincerely with my parents. ●It was a beautiful sunny day. The weather was so comfortable that I settled myself into the

英语句子结构和造句

高中英语~词性~句子成分~语法构成 第一章节:英语句子中的词性 1.名词:n. 名词是指事物的名称,在句子中主要作主语.宾语.表语.同位语。 2.形容词;adj. 形容词是指对名词进行修饰~限定~描述~的成份,主要作定语.表语.。形容词在汉语中是(的).其标志是: ous. Al .ful .ive。. 3.动词:vt. 动词是指主语发出的一个动作,一般用来作谓语。 4.副词:adv. 副词是指表示动作发生的地点. 时间. 条件. 方式. 原因. 目的. 结果.伴随让步. 一般用来修饰动词. 形容词。副词在汉语中是(地).其标志是:ly。 5.代词:pron. 代词是指用来代替名词的词,名词所能担任的作用,代词也同样.代词主要用来作主语. 宾语. 表语. 同位语。 6.介词:prep.介词是指表示动词和名次关系的词,例如:in on at of about with for to。其特征:

介词后的动词要用—ing形式。介词加代词时,代词要用宾格。例如:give up her(him)这种形式是正确的,而give up she(he)这种形式是错误的。 7.冠词:冠词是指修饰名词,表名词泛指或特指。冠词有a an the 。 8.叹词:叹词表示一种语气。例如:OH. Ya 等 9.连词:连词是指连接两个并列的成分,这两个并列的成分可以是两个词也可以是两个句子。例如:and but or so 。 10.数词:数词是指表示数量关系词,一般分为基数词和序数词 第二章节:英语句子成分 主语:动作的发出者,一般放在动词前或句首。由名词. 代词. 数词. 不定时. 动名词. 或从句充当。 谓语:指主语发出来的动作,只能由动词充当,一般紧跟在主语后面。 宾语:指动作的承受着,一般由代词. 名词. 数词. 不定时. 动名词. 或从句充当. 介词后面的成分也叫介词宾语。 定语:只对名词起限定修饰的成分,一般由形容

lie作平躺、撒谎时的过去式和过去分词

lie作平躺、撒谎时的过去式和过去分词 lie有平躺,撒谎等意思。你知道lie作平躺、撒谎时的过去式和过去分词是什么吗?下面是为你整理的lie 平躺、撒谎时的过去式和过去分词,希望大家喜欢! lie作平躺、撒谎时的过去式和过去分词平躺时的过去式和过去分词:lie;lied lied 撒谎时的过去式和过去分词:lie; lay lain lie的用法v. 躺下;位于;在于;平放;存在;延伸;说谎 n. 谎言 用作动词 用作不及物动词 S+~(+A) He lay there, flooded with pain, fear and hatred. 他躺在那儿,心中充满了痛苦、恐惧和憎恨。 As you make your bed, so you must lie. 自作自受。 Lasa lies too far away from Beijing. 拉萨离北京很远。 There lies〔lay〕... There lay a boy.

那里躺着一个男孩。 There lies a vast expense of golden crops before us. 一望无际的金灿灿的作物展现在我们的眼前。 There lies a bright future before us. 我们前途似锦。 S+~+ v -ed The national hero lies buried here. 那位民族英雄就安葬在这里。 His motives lay concealed. 他的动机不明。 S+~+ v -ing She lies sleeping soundly. 她躺在床上,睡得香甜极了。 The goods lie wasting in the warehouse. 货物闲放在仓库里。 lie的词语用法v. lie的基本意思是指人“平躺〔卧〕”,也可表示“(使)某物平放”。 lie是不及物动词,常与around, down, in, on等词连用,不能用于被动结构。 lie有时可用作系动词,后接形容词(而不接副词)、现在分词或过去分词作表语。 lie可用于表示“存在”的There...句型中,位于there之后,主谓

初中情态动词用法总结

专项:情态动词 一考点:情态动词的用法和辨析,情态动词表示推测和可能,由情态动词引导的一般疑问句的回答。 二类型:1 只是情态动词:can, could, may, might, must 2 可做情态动词,可做实义动词:need, dare 3 可做情态动词,可做助动词:will, would, shall, should 4 特殊:have to, ought to, used to 三特征:1 有一定的词义,但不能单独作谓语,必须与行为动词和系动词连用构成谓语。 2 无人称和数的变化。(have to 除外) Eg: He has to stay here. 3 后接动词原形。 4 具有助动词作用,可构成否定,疑问或简短回答。 四用法: 1. can ①表示能力,“能,会”。Eg : Can you play basketball? ②表示怀疑,猜测,常用于否定句或疑问句。 Eg :Li hua can’t be in the classroom. ③表示请求,允许,多用于口语,译“可以”= may. Eg: you can go now. ④can 开头的疑问句,肯定句,否定句用can或can’t. 2.could①can 的过去式,表示过去的能力。 Eg :I could swim when I was seven years old. ②could 开头的疑问句,肯定和否定回答用could, couldn’t如果could 表示现在的委婉,用can 回答。 Eg: Could I have a drink? Yes, you can. 3.may①表示推测,“可能,也许”,用于肯定句。 Eg: He may come tomorrow. ②表示请求,“许可,可以”。Eg: May I borrow your book? 注:表示请求,许可时,主语为第一人称的一般疑问句,否定回

相关文档
最新文档