当前位置:文档之家› Expanding the capabilities of the Ten-Percent Rule for the strength of fibre-polymer composites,

Expanding the capabilities of the Ten-Percent Rule for the strength of fibre-polymer composites,

Expanding the capabilities of the Ten-Percent Rule for the strength of fibre-polymer composites,
Expanding the capabilities of the Ten-Percent Rule for the strength of fibre-polymer composites,

598

which cannot actually be measured but which produce more acceptable estimated strengths.) When ?rst proposed, the Ten-Percent Rule was limited to ?bre-dominated strengths of well-designed laminates with ?bre patterns con?ned to the widely used 0°/±45°/90° family of balanced laminates. Within these two restrictions, the method was so simple that the factors to be applied to the measured reference strengths and stiffnesses of unidirectional laminae could be evaluated mentally. (A companion theory, with no simplifying assumptions to complicate its encoding for computers, was developed in parallel by the author who, therefore, had seen no reason1to consider a computer-coded version of the Ten-Percent Rule.)

Over the years, the Ten-Percent Rule has been re?ned, to reduce the number of measured properties needed to only the lamina modulus parallel to the ?bres and the tensile and compressive strengths in the same direction.

This paper represents an effort to extend the applicability of the theory to other ?bre angles and to permit it to be encoded for use on computers. The lamina failure envelope implied by the Ten-Percent Rule was identi?ed and, on the basis of hand solutions for the 0°/±45°/90°quasi-isotropic laminate, a simple modi?cation of the prescribed transverse strain-to-failure was deduced to eliminate compatibility-of-deformations problems. The solution of the remaining problems in the exercise conducted by Mike Hinton, Peter Soden, and Sam Kaddour [3], for the ±55° and 90°/±30° glass epoxy laminates, has con?rmed that no further modi?cations were necessary.

1At the end of the 1970s, the ?rst Lear Fan (see Ref [2]) was sized by this method alone, by Brian Spencer (an experienced analyst of composite structures), because the computer program used to size the subsequent airframes was not yet operational. Years later, an exDouglas colleague at Boeing, Adrian Barraclough, was so impressed by the simplicity and reliability of the method that he suggested it should always be used as a sanity check on the output of the many computer-predicted laminate strengths. More recently, the capabilities of this model were illustrated for the one problem it should be capable of solving as part of a comparison between various composite failure theories [3]. This was for a (0°/±45°/90°)

quasi-isotropic carbonepoxy laminate. The agreement with the author’s other analyses

s

was excellent. Indeed, the agreement was so good as to cause one of the contest organizers, Sam Kaddour, to remark that it was a shame the model could not be extended to the other two sets of test data also. Surely there had to be an embedded failure criterion within the model that could be applied more widely? This was an intnguing suggestion; only two weeks earlier, at a lecture on this subject at the University of California at Santa Barbara, Prof. Keith Kedward had questioned why a different theory was needed merely to permit its encoding. Without this encouragement, particular by Sam, the author would still be convinced that a theory as simple and approximate as his Ten-Percent Rule could not be transformed into a quasi-scienti?c method for predicting the strength of ?bre polymer composite laminates. Yet, if the Ten-Percent Rule could be expanded in the manner suggested, it would open up the possibility of reliable simple, one-shot analyses needing only half the experimental data called for by conventional composite failure theories. Better yet, since these predicted strengths did not involve any measured matrix-dependent properties, it might put an end, for once and for all, to one of the worst legacies of traditional interactive composite failure theories the myth that a change in resin, for common ?bre reinforcement, created a new composite material requiring millions of dollars in quali?cation and characterization testing before it could be used in production or for repairs.

(Any difference between ?t

L and ?c

L

must necessarily be associated with brittle fracture or

compressive instability of the ?bres, neither of which would affect the matrix. This is why the higher of these two strains is adopted rather than the lower one.)

The corresponding lamina failure envelope, on the stress plane, is shown in Fig. 1.

The failure envelope is presented with cut-offs in the 2nd and 4th quadrants for carbon-?bre reinforced laminates and without them for glass-?bre reinforcements. This relatively new distinction, since the preparation of Ref. [1], is explained in Ref. [5]. It is needed to account for differences between the transverse strains in the lamina and in the ?bres. The slope of the shear cut-offs in the 2nd and 4th quadrants of the lamina-level strain plane equivalent to the stress plane in Fig. 1 is only about 30°, rather than the 45° in the generalized maximum-shear-stress failure model. This slope becomes very much closer to the latter value after the theory is modi?ed in the manner described later.

The effect of the cut-offs is most pronounced for ?bre-dominated in-plane-shear strengths. With the cut-off, per the original mental-arithmetic formulation of the Ten-Percent Rule, the ?bre-dominated in-plane-shear strength of an all ±45° laminate would be

F s

±45=

1

2?1+0.12

?F L=0.275F L(with shear cut-offs)(11)

Fig.1.Stress-based failure envelope for unidirectional lamina when F t

L >F c

L

L, according to the original

Ten-Percent Rule.

12?

=

The co-ordinates of all of these points are as follows, in terms of the tensile reference strain

?

v LT

10

?t L,?2=?t L

???c L?t L?+v LT10??t L,?2=?1+v LT??c L?t L???t L

???c L?t L?+v LT10?1???c L?t L????t L,?2=?v LT??c L?t L?+?1???c L?t L?????c L?t L??t L,?2=v LT??c L?t L??t L

???c L?t L??v LT10??t L,?2=??1?v LT??c L?t L???t L

?t L,?2=??t L

1+v LT

10??t L,?2=?(1+v LT)?t L.

Strain-based failure envelope for unidirectional lamina when F t

L >F c

L

, according to the Ten-

Percent Rule.

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constant-strain lines for longitudinal loads in ?bre–polymer composites is quite insigni?-icant.

In contrast with the corresponding failure envelope for the truncated maximum-strain failure model [5], the various lines in Fig. 2 are not quite horizontal, not quite vertical, and not sloping at 45°. Nevertheless, strong similarities to both of the composite failure theories assessed in Refs. [5] and [9] are quite clear. It should be noted that the corner points B and J in the 1st and 3rd quadrants of Fig. 2 lie off the equal-biaxial-strain axis.

3.Test problem No. 9A: biaxial (?

x??y) failure envelopes for (0°/±45°/90°)s carbon-epoxy laminate, according to the original formulation of the Ten-Percent Rule

This problem is particularly simple to solve because the laminate strengths are entirely ?bre dominated. This is precisely the kind of laminate for which the analysis method was always intended to be applied. The analysis is included here to enable an assessment to be made of how much the new approach changes the predicted answers.

According to Eqs. (4)–(7), the uniaxial strengths of this laminate are (1?1.0+3?0.1)/4=0.325 times as strong as the unidirectional plies under uniaxial tension and compression stresses, and are (1?1.0+2?0.55+1?0.1)/4=0.55 as strong as the uniaxial plies under equal biaxial tension and compression stresses of the same sign. The factor 0.55 for the contribution of the ±45° plies derives from the fact that it must be the same as for an equal mixture of 0° and 90° plies, i.e. (1?1.0+1?0.1)/2=0.55. Differences are permitted between the tensile and compressive reference properties of the unidirectional lamina which, of course, can be expected to vary with the operating environment as well. The Ten-Percent Rule merely establishes factors to be applied to these lamina reference strengths.

Given the tensile and compressive unidirectional strengths of 1950 and 1480 MPa supplied in Ref. [3] for the reference lamina, the extremities of the failure envelope for a quasi-isotropic laminate made from this carbon-epoxy material are associated with the following stresses.

Tensile uniaxial strength, 0.325?1950=633.8 MPa

Compressive uniaxial strength, 0.325?1480=481.0 MPa

Tensile biaxial strength, 0.55?1950=1072.5 MPa

Compressive biaxial strength, 0.55?1480=814.0 MPa

In-plane shear strength, 633.8/2=316.9 MPa

Believe it or not, this is the complete set of calculations needed to construct the entire failure envelope when using the original formulation. (It is only slightly more complicated, as described in Ref. [1], when the numbers of 0° and 90° plies differ.) The method really is incredibly simple. The failure envelope is completely ?bre dominated, being described in three-dimensional form in Fig. 3. The height of the shear-stress plateau is half of the uniaxial tension strength, or 0.1625 times as strong as a unidirectional lamina under a 0° tensile load. [This same factor could alternatively have been calculated as the average shear strength of ±45° and 0°/90° laminates, i.e. (0.275+0.5)/2/2=0.1625. The original version of the Ten-

Percent Rule is very consistent, even if it does not pay proper attention to compatibility of deformations.]The failure envelope is entirely ?at faceted, rectangular in cross section, and pointed at its ends. The lines in the 2nd and 4th quadrants of the plan view (?xy =0) are shown as non-parallel joining the uniaxial tensile and compressive strengths together, as the author did in Ref. [10] before he learned how to formulate his generalization of the maximum-shear-stress failure criterion on the strain, rather than stress, plane. This is consistent with the original formulation of the model, but it is now known that these two lines should be drawn at 45°,parallel to each other, which would result in the kinks in the envelope lying off the stress axes for compression-dominated loads. This improvement is introduced later in this section.5Had this been a failure envelope for a glass-?bre-reinforced laminate rather than one made from carbon ?bres, the (roughly) 45° cut-offs for shear (tension/compression) loads would have been omitted and the failure envelope completed by projecting from the equal-biaxial strengths through the uniaxial strengths until the lines crossed. The shear-strength plateau would have been omitted for the same reason, being replaced by a ridge running orthogonal to the equal-biaxial-stress line. The ridge would be offset from the vertical axis through the origin whenever the tensile and compressive lamina (and laminate) strengths differed.

Fig.3.Three-dimensional drawing of stress-based failure envelope for carbon-epoxy laminate,

according to the original forrnulation of the Ten-Percent Rule.

?

??xy =

cos

sin

2?

?

?

?12

?

??12=

cos

sin

–?

?

?

?xy

.

On the base plane of the failure envelopes, there is zero shear strain

parallel planes, =constant. It follows from the last of these equations, then, that the in-plane shear strain acting on the

?12)].

Sign convention and identi?cation of lamina and laminate coordinate systems.

??1?2?

, for which the denominator would be zero in both equations.

xy

=laminate plane constant in the lamina reference system. According to the

?1

?2?12=

Q

Q

066

?

?

?12

,

v12

?=

E

?Q66G

x

y xy =

Q

Q

Q

16

26

66

?

?

?xy

,

For balanced symmetric laminates, containing an equal number of plies in each of the directions, certain simple relationships follow from these and the inverse relations given by Jones. The key to the derivation of these expressions is that in-plane-shear stresses are developed within each lamina in order that there be no in-plane shear strain when stresses are

directions. (In contrast with this, the corresponding formulae for

bres in only one of the two directions is associated with the absence of shear stress and the presence of shear strain whenever the lamina is loaded in only the

, Eq. (38) yields that

s moduli; one from Eq. (39) and the other from the inverse relations cited in [8]. The set to be used here is the former, with

?

4?. With the further standard assumption that

E

A similar calculation verifying that rm only the absence of errors in the algebraic manipulations, but the ratio predetermined. Consequently, agreement almost within half a percent provides very real validation for the initial simplifying assumptions and assurance that the new formulation of the Ten-Percent

Construction of the failure envelope using the new process follows standard practices, except for complications due to the singularity in Eqs. (19) and (20) for ?=±45°. The following relations are used in their place. For ?=±45°,

?12=?y??x regardless of the value of ?xy,

?xy=?1??2regardless of the value of ?12, and ?x+?y=?1+?2.(56) Prior solutions of this problem have revealed that the 0° and 90° plies de?ne most of the failure envelope, with the only likely involvement of the ±45° plies being in the form of a matrix-shear cut-off. (Any matrix shear cut-offs for the 0° and 90° plies are perpendicular to the ?

xy

axis, off the base plane of the failure envelope.) Symmetry of the failure envelope with respect to the equal-biaxial-strain diagonal reduces the number of points for which actual calculations are needed to only A, B, C, K, J and F in Fig. 1, which are the same as A, B, C, K, J and F in Fig. 2. The numerical values of the co-ordinates of these points are unchanged between lamina and laminate strain planes for 0° plies, so the process is particularly simple.

Thus, since ?t

L =0.0138 and ?c

L

=–0.01175, and v

LT

=0.28 per the data supplied in Ref. [3],

?=0.992 so that, for the 0° plies,

Point A:?

x =+0.01380,?

y

=–0.003864

Point B:?

x =+0.01341,?

y

=+0.009936

Point C:?

x =–0.0003964,?

y

=+0.01380

Point K:?

x =–0.01181,?

y

=+0.005340

Point J:?

x =–0.01136,?

y

=–0.01051

Point F:?

x =+0.0003864,?

y

=–0.01380.

The corresponding values for the 90° plies are established by interchanging the ?

x and ?

y

values. The ±45° plies are critical only for equal-biaxial strains, unless in-plane shear loads are applied. In addition, there are two 45°-sloping lines associated with possible matrix shear failures in the ±45° plies, intercepting the axes in accordance with the ?rst of Eq. (43) when ?12=1.8?t L=±0.02484.

The corresponding strain-based laminate failure envelope is shown in Fig. 5. The matrix-shear limits clearly lie well outside those set by the ?bres, and can henceforth be neglected. However, it is also apparent that this failure envelope predicts that absolutely no ?bres will fail under tensile lamina loads aligned with the ?bres except for minute areas near the positive strain axes. In the jargon of the interactive failure theories of which the author disapproves, the analysis would apparently predict almost universal “?rst-ply” failures in the matrix under transverse loads throughout the tension–tension (lst) quadrant. This is quite at odds with the solution shown in Fig. 3. One is forced to conclude that the failure model in Figs. 1 and 2 does NOT represent the Ten-Percent Rule, after all. (This ?nally explains the need for the empirically increased transverse strengths in the author’s stress-based failure model in Ref.

[11]. Without them, the BLACKART computer code would have been just as unreliable as the theories it was intended to replace. However, the current work has revealed that the entire failure envelope should have been expanded – and by a precise amount – not merely by any minimum amount to render ?bre and matrix failures non-interactive in the 1st and 3rd quadrants.)

611

The kind of abnormality evident in Fig. 5 is one reason why the author had not previously tried to develop a computer-code version of the Ten-Percent Rule and had, instead, tried to develop a scienti ?cally more precise model for that purpose, as in Refs. [6] and [7]. As originally envisaged, the Ten-Percent Rule derived its simplicity without unnecessary loss of accuracy by avoiding any equations requiring the satisfaction of compatibility of deformations.

Fortunately, a very simple modi ?cation of the present graphical model can make it consistent with the original rule-of-mixtures formulation. If the strains due to transverse loads increased by the factor (1+v LT ), leaving the transverse modulus unchanged, Fig. 5would become totally ?bre dominated. Figs. 1 and 2 are therefore replaced by Figs. 6 and 7.Because none of the stiffnesses are being changed, this modi ?cation does not constitute a replacement of the original formulation. It may be looked upon as addressing the issue of compatibility of deformations, which could not be considered in the original formulation.in transverse plies are still assigned to be ten percent of those in the longitudinal plies,common longitudinal and transverse strains, even though the transverse ?bre strengths a higher transverse strain beyond the capacity of transverse ?bres) are increased in the ratio ). (The transverse and in-plane matrix strengths are unchanged.) The transverse-failure points on the ?bre-failure envelope are identi ?ed by primes. The corresponding matrix-failure points in Figs. 6 and 7 are identi ?ed by the same letters without primes, as in Figs. 1 and 2.All that this modi ?cation ensures is that failure can continue to be predicted by the strain in longitudinal plies, when the ?bres fail, and need not be undercut by predictions of earlier matrix failures in transverse plies, because it is now possible to distinguish between the two.

Failure envelope for quasi-isotropic (0°/±45°/90°)s carbon-epoxy laminate, on the laminate

strain plane.

Admittedly, it is still necessary to differentiate between possibly real matrix failures, along the line BCH, and real ?ber failures along the lines B ?C ?H ?or B ?C ?D, for example.6Subject to 6An attempt was made to remove any ambiguity by consistently de ?ning the primed failure points in Figs. 6 and 7 as being applicable to both ?bre and matrix failures. However, a comparison with the solutions made using the other models (Refs. [5] and [9]) indicated that the matrix failures so predicted would then be excessive. In addition, such a change could be perceived as a fundamental change in the TenPercent Rule, rather than as merely a minor modi ?cation to overcome some numerical problems in applying it.

Fig.6.Modi ?ed stress-based failure envelope for unidirectional lamina when F t L >F c L , corrected to

override premature predictions of transverse failures.

Fig.7.Modi ?ed strain-based failure envelope for unidirectional lamina when F t L >F c L , corrected to

override premature predictions of transverse.

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the obvious limitations of the Ten-Percent Rule in regard to predicting all real matrix failures, the choice between one or other failure mechanism is normally quite clear in the laminate-level failure envelope. Whenever there is a ?bre-failure segment inside or barely outside the corresponding matrix-failure prediction, one should assume that the ?bre-failure prediction governs and ignore the predicted matrix failures. Conversely, when there are ?bres in the laminate in so few directions that predictions of matrix failures by this method lie well inside the predictions of ?ber failures, for at least some portion(s) of the failure envelope, one should accept these predicted matrix failures as being more reliable than simply ignoring them completely.

Point B?in Fig. 7 now lies beyond Point B?, which governs for equal biaxial strains, solving the problem of ensuring the prediction of ?bre failures for biaxial loads. The line C?D?, when transposed for a 90° ply, now passes imperceptibly outside Point A for a 0° ply, ensuring that the estimated transverse ply strengths for this model do not undercut the ?bre-dominated uniaxial strength predictions, either. This is the reason for selecting this particular ampli?cation factor (1+v

), to permit equal longitudinal and transverse strains, with failure

LT

in the ?bres, at the equal-biaxial-strain points B?and E?in Fig. 2, instead of predicting that only matrix failures were possible there, as Fig. 5 would suggest. Any lesser ampli?cation factor would restrict the transverse strain at those points below the longitudinal strain. This, in turn, would impose a limit on the longitudinal strain in transverse ?bres, for those stress states, which was contrary to the basis of the original Ten-Percent Rule.

The failure envelopes in Figs. 1 and 2 must be discarded, despite their apparent plausibility. All of the remaining analyses will be based on the failure model depicted in Figs. 6 and 7 that permits two distinct possible failure mechanisms under transverse loads.

This arbitrary increase in transverse strains-to-failure may seem to some as justifying the corresponding techniques used to enhance strength predictions with existing composite failure models by use of progressive-failure or ply-discounting techniques. On the contrary, although the effects are similar, the contexts are very different. The advocates of progressive-failure analyses with interactive failure models have justi?ed their approach by maintaining that such matrix failures actually do occur –at the stress levels they predict. (Otherwise their theories would be inevitably invalidated. It is the author’s view that none of those predicted ?rst-ply failures, as they are customarily called, has ever been validated experimentally. The fact that there can be subsequent real matrix failures in no way validates these premature predictions.) Here, the reason for this modi?cation of the assumed transverse strain at failure is to create

a failure model making predictions as close as possible to those predicted on the basis of Eqs.

(4)–(7), which do not actually imply that the matrix must fail immediately after the ?bres fail. All they stipulate is that the amount of transverse load which is carried without matrix failure is one tenth of the longitudinal load in each ply – all the way to failure of the ?bres. (This is why only the strains-to-failure, and the associated strengths, were increased here, leaving the transverse moduli unchanged.) The modi?cation of Figs. 1 and 2 into Figs. 6 and 7 is no more or less scienti?c than the original Ten-Percent Rule, which has never been portrayed as anything but a valuable approximate analysis method.

Whether or not these changes to the transverse, and in-plane-shear, ?bre strengths are scienti?cally valid is immaterial. They represent the minimum changes needed to ensure that this new representation of the TenPercent Rule predicts essentially the same strengths as the original formulation for ?bre patterns which are known (or believed to be) totally ?bre dominated.

The slope of the cut-offs in the 2nd and 4th quadrants is not exactly 45°, as it is in the author’s

generalization of the maximum-shear-stress failure criterion in Ref. [5]. It would be, if the transverse Poisson’s ratio v

TL

were absolutely zero. However, the slope is very much closer to 45° on the lamina strain plane than for the model shown in Fig. 2. For conventional carbon-?bre-polymer composites, therefore, the slope is now only minutely steeper than 45°. It would be almost precisely 90° for glass-?bre laminates, for which there should be no cut-off.

It is also necessary to con?rm that there are no implied changes to the matrix-dominated in-plane-shear strength that might result from the increase in transverse ?bre strength introduced above. It should be noted that none of the lamina or laminate stiffnesses, whether ?bre- or matrix-dominated, has been changed by this modi?cation. Not even the ?bre-dominated in-plane-shear strength of a ±45° laminate is affected, because the strain at failure is still restricted by the longitudinal strain in the ?bres. The greater transverse strain capability simply cannot be exercised in a ?bre-dominated laminate. On the other hand, if the matrix-

dominated strength of 90° and ±45° laminates were increased by the factor (1+v

LT

), one would need to implement the same increase in the in-plane shear strength of 0° or 90° laminae with respect to Eq. (9).

The selectively modi?ed corner-point strains for the 0° ply in the 0°, ±45°, 90° quasi-isotropic laminate are then as follows.

Point A:?

x =+0.01380,?

y

=–0.003836

Point B?:?

x =+0.01332,?

y

=+0.01332

Point B?:?

x =+0.01331,?

y

=+0.01380

Point C?:?

x =–0.0004903,?

y

=+0.01764

Point K?:?

x =–0.01182,?

y

=–0.005886

Point E?:?

x =–0.01134,?

y

=–0.01134

Point J?:?

x =–0.01126,?

y

=–0.01437

Point F?:?

x =+0.0004946,?

y

=–0.01766

Point G?:?

x =+0.01429,?

y

=–0.02147

Point I?:?

x =–0.01224,?

y

=+0.02090.

Henceforth, the speci?c values of the Poisson’s ratios given by the organizers for unidirectional laminae have been used (in this case 0.28), to facilitate comparisons between the theories, even though the author normally uses the value 0.3 as a standard. The strain-based laminate failure envelope for these 0° plies, and those in the 90° direction, is plotted in Fig. 8.

It is clear that, unlike Fig. 5, all predictions for these two ?bre directions are for ?bre failures. Figure 8 also includes the predictions for failure of the ±45° plies, a rectangular box de?ned by ?bre-failure lines through the same Points B?and E?as for the 0° and 90° plies in conjunction with sides de?ned by the same matrix shear failures as calculated earlier, crossing the axes at strains of +0.02484. The ±45° ply failure envelope clearly plays no part in this laminate failure envelope, at least not on the base plane. Naturally, these ?bres would eventually become critical under in-plane-shear loads. The ?ber-dominated in-plane-shear strength of the laminate is most easily assessed in terms of the –45° sloping line, for equal and opposite strains, through the origin in Fig. 8, at the point where it crosses the 0°/90° failure envelope at ±Point H?in Fig. 7.

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青年教师基本功大赛演讲稿

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The way常见用法

The way 的用法 Ⅰ常见用法: 1)the way+ that 2)the way + in which(最为正式的用法) 3)the way + 省略(最为自然的用法) 举例:I like the way in which he talks. I like the way that he talks. I like the way he talks. Ⅱ习惯用法: 在当代美国英语中,the way用作为副词的对格,“the way+ 从句”实际上相当于一个状语从句来修饰整个句子。 1)The way =as I am talking to you just the way I’d talk to my own child. He did not do it the way his friends did. Most fruits are naturally sweet and we can eat them just the way they are—all we have to do is to clean and peel them. 2)The way= according to the way/ judging from the way The way you answer the question, you are an excellent student. The way most people look at you, you’d think trash man is a monster. 3)The way =how/ how much No one can imagine the way he missed her. 4)The way =because

教师基本功大赛即兴演讲稿

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The way的用法及其含义(二)

The way的用法及其含义(二) 二、the way在句中的语法作用 the way在句中可以作主语、宾语或表语: 1.作主语 The way you are doing it is completely crazy.你这个干法简直发疯。 The way she puts on that accent really irritates me. 她故意操那种口音的样子实在令我恼火。The way she behaved towards him was utterly ruthless. 她对待他真是无情至极。 Words are important, but the way a person stands, folds his or her arms or moves his or her hands can also give us information about his or her feelings. 言语固然重要,但人的站姿,抱臂的方式和手势也回告诉我们他(她)的情感。 2.作宾语 I hate the way she stared at me.我讨厌她盯我看的样子。 We like the way that her hair hangs down.我们喜欢她的头发笔直地垂下来。 You could tell she was foreign by the way she was dressed. 从她的穿著就可以看出她是外国人。 She could not hide her amusement at the way he was dancing. 她见他跳舞的姿势,忍俊不禁。 3.作表语 This is the way the accident happened.这就是事故如何发生的。 Believe it or not, that's the way it is. 信不信由你, 反正事情就是这样。 That's the way I look at it, too. 我也是这么想。 That was the way minority nationalities were treated in old China. 那就是少数民族在旧中

(完整版)the的用法

定冠词the的用法: 定冠词the与指示代词this ,that同源,有“那(这)个”的意思,但较弱,可以和一个名词连用,来表示某个或某些特定的人或东西. (1)特指双方都明白的人或物 Take the medicine.把药吃了. (2)上文提到过的人或事 He bought a house.他买了幢房子. I've been to the house.我去过那幢房子. (3)指世界上独一无二的事物 the sun ,the sky ,the moon, the earth (4)单数名词连用表示一类事物 the dollar 美元 the fox 狐狸 或与形容词或分词连用,表示一类人 the rich 富人 the living 生者 (5)用在序数词和形容词最高级,及形容词等前面 Where do you live?你住在哪? I live on the second floor.我住在二楼. That's the very thing I've been looking for.那正是我要找的东西. (6)与复数名词连用,指整个群体 They are the teachers of this school.(指全体教师) They are teachers of this school.(指部分教师) (7)表示所有,相当于物主代词,用在表示身体部位的名词前 She caught me by the arm.她抓住了我的手臂. (8)用在某些有普通名词构成的国家名称,机关团体,阶级等专有名词前 the People's Republic of China 中华人民共和国 the United States 美国 (9)用在表示乐器的名词前 She plays the piano.她会弹钢琴. (10)用在姓氏的复数名词之前,表示一家人 the Greens 格林一家人(或格林夫妇) (11)用在惯用语中 in the day, in the morning... the day before yesterday, the next morning... in the sky... in the dark... in the end... on the whole, by the way...

“the way+从句”结构的意义及用法

“theway+从句”结构的意义及用法 首先让我们来看下面这个句子: Read the followingpassageand talkabout it wi th your classmates.Try totell whatyou think of Tom and ofthe way the childrentreated him. 在这个句子中,the way是先行词,后面是省略了关系副词that或in which的定语从句。 下面我们将叙述“the way+从句”结构的用法。 1.the way之后,引导定语从句的关系词是that而不是how,因此,<<现代英语惯用法词典>>中所给出的下面两个句子是错误的:This is thewayhowithappened. This is the way how he always treats me. 2.在正式语体中,that可被in which所代替;在非正式语体中,that则往往省略。由此我们得到theway后接定语从句时的三种模式:1) the way+that-从句2)the way +in which-从句3) the way +从句 例如:The way(in which ,that) thesecomrade slookatproblems is wrong.这些同志看问题的方法

不对。 Theway(that ,in which)you’re doingit is comple tely crazy.你这么个干法,简直发疯。 Weadmired him for theway inwhich he facesdifficulties. Wallace and Darwingreed on the way inwhi ch different forms of life had begun.华莱士和达尔文对不同类型的生物是如何起源的持相同的观点。 This is the way(that) hedid it. I likedthe way(that) sheorganized the meeting. 3.theway(that)有时可以与how(作“如何”解)通用。例如: That’s the way(that) shespoke. = That’s how shespoke.

way 用法

表示“方式”、“方法”,注意以下用法: 1.表示用某种方法或按某种方式,通常用介词in(此介词有时可省略)。如: Do it (in) your own way. 按你自己的方法做吧。 Please do not talk (in) that way. 请不要那样说。 2.表示做某事的方式或方法,其后可接不定式或of doing sth。 如: It’s the best way of studying [to study] English. 这是学习英语的最好方法。 There are different ways to do [of doing] it. 做这事有不同的办法。 3.其后通常可直接跟一个定语从句(不用任何引导词),也可跟由that 或in which 引导的定语从句,但是其后的从句不能由how 来引导。如: 我不喜欢他说话的态度。 正:I don’t like the way he spoke. 正:I don’t like the way that he spoke. 正:I don’t like the way in which he spoke. 误:I don’t like the way how he spoke. 4.注意以下各句the way 的用法: That’s the way (=how) he spoke. 那就是他说话的方式。 Nobody else loves you the way(=as) I do. 没有人像我这样爱你。 The way (=According as) you are studying now, you won’tmake much progress. 根据你现在学习情况来看,你不会有多大的进步。 2007年陕西省高考英语中有这样一道单项填空题: ——I think he is taking an active part insocial work. ——I agree with you_____. A、in a way B、on the way C、by the way D、in the way 此题答案选A。要想弄清为什么选A,而不选其他几项,则要弄清选项中含way的四个短语的不同意义和用法,下面我们就对此作一归纳和小结。 一、in a way的用法 表示:在一定程度上,从某方面说。如: In a way he was right.在某种程度上他是对的。注:in a way也可说成in one way。 二、on the way的用法 1、表示:即将来(去),就要来(去)。如: Spring is on the way.春天快到了。 I'd better be on my way soon.我最好还是快点儿走。 Radio forecasts said a sixth-grade wind was on the way.无线电预报说将有六级大风。 2、表示:在路上,在行进中。如: He stopped for breakfast on the way.他中途停下吃早点。 We had some good laughs on the way.我们在路上好好笑了一阵子。 3、表示:(婴儿)尚未出生。如: She has two children with another one on the way.她有两个孩子,现在还怀着一个。 She's got five children,and another one is on the way.她已经有5个孩子了,另一个又快生了。 三、by the way的用法

青年教师朗诵比赛活动方案

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9、主持:徐金凤 四、活动程序: 1、学校将在赛前一周邀请校长对参赛人员进行培训。 2、参赛教师提前十分钟到达比赛场地,做好准备工作。 3、14:40正式进行比赛,按抽签顺序进行。 4、评分办法:比赛采取现场评分的办法,满分10分,比赛结束后,进行分数汇总、统计,取平均分,宣布比赛成绩。 5、校长点评并作总结。 五、设奖情况: 本次比赛将设一等奖2名,二等奖3名,三等奖5名,优秀奖若干名。比赛成绩计入年末教师量化考核。 六、朗诵比赛评分标准 (一)、主题内容(2分) 1、内容(1分):题材不限,内容健康向上;充实生动,有真情实意 2、主题(1分):寓意深刻,富有感召力 (二)、普通话(3分) 1、发音(1分):语音准确1分,较准确0.8分,基本准确0.5分,不准确不得分。 2、语速(1分):语速恰当、声音洪亮,表达自然流畅1分,因不熟练,每停顿一次扣0.1分。

教师基本功即兴演讲需要准备几分钟

青年教师基本功大赛即兴演讲题目【题目1】我的兴趣爱好【题目2】谈谈内心和谐【题目3】人最难超越的高度就是自己【题目4】我的价值观【题目5】谈谈与人相处【题目6】坚守心灵的一方沃土【题目7】给快乐找个理由【题目8】年轻 没有什么不可以【题目9】心底无私天地宽【题目10】人是需要一点精神的【题目11】我们与时代同行【题目12】生活从“心”开始【题目13】让更多的人快乐 【题目14】面对繁杂的教学工作 你如何调整心态 【题目15】和谐、健康、快乐【题目16】我喜爱的书刊【题目17】你如何发展自己的专业弱点【题目18】善待自己 呵护希望【题目18】.上公开课对一个教师的成长的作用【题目19】培养积极心态 感悟责任人生【题目24】永不言弃 我心永恒 准备时间 3分钟 【题目25】.你怎样做个身心健康的老师【题目26】你如何看待家长满意工程 【题目27】新课程执行过程中 你碰到最棘手的问题是什么【题目28】课堂教学中 你最关注的是什么【题目29】你希望学校领导关心青年教师哪些方面【题目30】谈谈自己的业余生活【题目31】简评最近的工作情况。【题目32】怎样才能提高教师的凝聚力。【题目33】.谈谈做班主任的心得【题目34】.你怎样定义教师【题目35】简介杨森中学【题目36】.点评一位我校的优秀教师【题目37】.如何看待家长的不理解【题目38】.谈谈卫生与健康【题目39】谈谈我校的环境. 【题目40】谈谈如何管理学生【题目41】谈谈你对职业道德的认识【题目42】我参加校本研修之感想。【题目43】“依法治教 注重服务 着力塑造行业形象” 请你谈谈你的设想【题目44】.如何发挥你校师生之特长 【题目45】.怎样调动老师的工作积极性 【题目46】.谈谈你对校本教研的看法。【题目47】.我是怎样备课的。【题目48】.维持校门口的秩序 我的一点想法。【题目49】如何丰富教师的业余生活 缓解教师的心理压力 【题目50】谈谈你对节日文化的认识【题目51】学校活动很多的情况下 你如何调节自己的心态 【题目52】德育倡导“全面德育 全员德育” 请你谈谈自己的理解。【题目53】如何让家长尊重教师 【题目54】你认为提高教育质量应从哪里抓起【题目55】从哪些方面帮助班主任管理学生篇二:教师即兴演讲题目之63个话题 教师即兴演讲题目之63个话题 来源:思雨教育资源网|教学资源|课件论文|作文作者:无边思雨发表日期:2009-5-30 13:16:19 阅读次数: 910 查看权限:普通文章 1、如何维护班集体荣誉? 2、如何看待学生时代早恋问题? 3、成人与成才二者是怎样的关系?结合实例说明自己的观点。 4、不同地域、不同背景、不同习惯的同学之间该如何相处? 5、怎样面对学习、生活中遇到的挫折? 6、你最崇拜的人是谁?“名人”还是自己? 7、你认为我们是否应有感恩之心?感恩于谁? 8、你希望自己会是怎样一位老师?你会如何教育自己的学生? 9、“言行、仪表”与个人的发展。 10、如今继续提倡“勤俭、节约”作风是否已过时? 11、在各种资料、媒体中常讲张扬个性,你认为我们该张扬什么样的个性? 12、三轮车工人方尚礼自己生活的如乞丐,却将自己蹬车收入的35万多元用来资助失学儿童,当病重时,社会捐助给他治病的钱,也被他捐给了希望工程。你对方尚礼的这种行为有何评述? 13、电视广告不宜过多 14、保护环境是每个人的责任

The way的用法及其含义(一)

The way的用法及其含义(一) 有这样一个句子:In 1770 the room was completed the way she wanted. 1770年,这间琥珀屋按照她的要求完成了。 the way在句中的语法作用是什么?其意义如何?在阅读时,学生经常会碰到一些含有the way 的句子,如:No one knows the way he invented the machine. He did not do the experiment the way his teacher told him.等等。他们对the way 的用法和含义比较模糊。在这几个句子中,the way之后的部分都是定语从句。第一句的意思是,“没人知道他是怎样发明这台机器的。”the way的意思相当于how;第二句的意思是,“他没有按照老师说的那样做实验。”the way 的意思相当于as。在In 1770 the room was completed the way she wanted.这句话中,the way也是as的含义。随着现代英语的发展,the way的用法已越来越普遍了。下面,我们从the way的语法作用和意义等方面做一考查和分析: 一、the way作先行词,后接定语从句 以下3种表达都是正确的。例如:“我喜欢她笑的样子。” 1. the way+ in which +从句 I like the way in which she smiles. 2. the way+ that +从句 I like the way that she smiles. 3. the way + 从句(省略了in which或that) I like the way she smiles. 又如:“火灾如何发生的,有好几种说法。” 1. There were several theories about the way in which the fire started. 2. There were several theories about the way that the fire started.

教师基本功是教师从事教育教学工作必须具备的最基本的职业技能分析

教师基本功是教师从事教育教学工作必须具备的最基本的职业技能。它包括通用于所有教师的一般基本功,也包括学科教学和教育工作的基本功。教师基本功是加强青年教师职业道德建设的一项重要内容,也是教师从事教育教学工作必须具备的最基本的职业技能。如果说教学是技术加艺术,那么这种技术和艺术主要表现在教师课堂教学的基本功上面。它是教师素质的重要表现,也是教学成败的关键。过去所说的教师基本功,无非是三字一画(钢笔、毛笔、粉笔字和简笔画)和语文基础知识、口头表达能力等,再加上一些专业学科的基本功(音乐、体育、美术等)。在新一轮的课程改革中,需要我们重新看待教师的教学基本功。随着时代的发展,教师基本功的含义越来越广,教 师基本功包括的范围越来越大。下面我谈谈自己对教师应该具备的基本功的认识。 一、为人师表教师基本功应以德为先,教师的基本素质首当其冲的是师德素质。 我认为教师首先要有高尚的师德,只有思想上以学生为本,有做名师的愿望,至少有一个积极健康的心态,才能练好基本功。 1、有理想,有事业心。 2、以身作则学校无小事,处处皆教育,教师一言一行都会对学生造成影响。 二、爱的能力教师做的是人的工作,应该有人文素质,在爱

人过程中进行教育教学工作。爱学生也是一种技能,爱他们,使他们 容易、愉悦接受。 三、表达能力. 1、语言表达普通话是教师的职业语言,教师能用普通话进 行教学,普通话一般应达到国家语委制定的《普通话水平测试》二级水平。 2、文字表达教师的工作比较繁重,但是要学会反思和总结, 把心得体会写出来,才能少走弯路,更快进步,摆脱烦琐;才能轻松、高效的工作。 四、动手能力. 1、三笔一画这是传统意义的教师基本功。 2、板书板书不仅表现出一位教师上课的基本功,而且也体现教师的教学态度乃至性格。 3、运用、制作教具使用、制作教具方面,能按教学要求,正确使用教具;能就地取材,制作简易的教具。 4、现代信息技术的掌握和运用。 5、演示一般教师的演示指教态,教师也要做一个演员。 五、备课能力

way 的用法

way 的用法 【语境展示】 1. Now I’ll show you how to do the experiment in a different way. 下面我来演示如何用一种不同的方法做这个实验。 2. The teacher had a strange way to make his classes lively and interesting. 这位老师有种奇怪的办法让他的课生动有趣。 3. Can you tell me the best way of working out this problem? 你能告诉我算出这道题的最好方法吗? 4. I don’t know the way (that / in which) he helped her out. 我不知道他用什么方法帮助她摆脱困境的。 5. The way (that / which) he talked about to solve the problem was difficult to understand. 他所谈到的解决这个问题的方法难以理解。 6. I don’t like the way that / which is being widely used for saving water. 我不喜欢这种正在被广泛使用的节水方法。 7. They did not do it the way we do now. 他们以前的做法和我们现在不一样。 【归纳总结】 ●way作“方法,方式”讲时,如表示“以……方式”,前面常加介词in。如例1; ●way作“方法,方式”讲时,其后可接不定式to do sth.,也可接of doing sth. 作定语,表示做某事的方法。如例2,例3;

教师基本功是什么

教师基本功是什么1 我们常说“教学基本功”如何如何,多指教师的专业功底,教学基本技能,教学方法以及由此产生的教学效果等等,放在一个讨论教师质量和教育教学质量的背景下,我们是不是关注一下:什么是教师基本功呢? 基本素质 教师的基本素质首当其冲的是师德素质。师德不能等同于职业道德,但却函盖职业道德。我觉得职业道德主要是针对物品或没生命的,或有生命也不是传道授业与做人思想工作的。教师的职业道德重要的在于“师”字上,即为人师的职业道德。只是时下还有多少人能够有称职的师德呢?!当下的教育环境下,教师一方面普遍出现职业倦怠,一方面却又师德开始退化!教师的现状让人担忧! 我觉得,教师的基本素质应还包括人文素养,没有人文素养的教师眼中根本就不会有“人”的存在,也就不会在新课程中体现“以人为本”的理念,更不会在课堂上有“生命的气息”!我觉得人文素养应该尊重生命、尊重人的尊严,还要包括带头遵守社会文明公约、法律法规等,并成为践行的时代先锋。也就是说,教师还要在遵守社会文明等方面真正为人师表! 基本知识 教师职业的特殊性,必然要求每一个教师要具备一定的基本知识,即包括教育理论、学科知识、心理学知识等。教师教育理论的丰厚与否往往束缚一个教师的发展与理论素养的高低,甚至影响到教师的教育思想与个人成长;而学科知识除了学科的相关基础知识外,还应包括学科的前沿知识;因为现在的学生压力大,心理又非常脆弱,这就给教师的教育工作增加了难度,因此,教师的基本知识应该要有心理辅导的知识,再说,当下的教师工作压力大,许多教师心理也存在一定的问题,他们本身更需要心理的自我调适能力。 基本能力 教师应具备的基本能力是什么呢?我认为应该是学习能力、科研能力、解决问题能力、写作能力、组织教学能力、协作能力等。 知识日新月异,特别是网络的盛行,让知识的传播与创新更快,因此,教师如果没有学习能力,就不能与时俱进,便会成为时代的落后者,这会影响到教师自身的发展与教育水平高低。况且,现在对于终身教育或终身学习理念的倡导,作为一名教师更应该成为这一理念的先驱。 科研能力是不是教师的必备能力?或者说教师要不要搞教育科研?我觉得不一定每一个教师都要成为研究型教师与专家型教师,但具备一定的教育科研能力,或了解教育科研的方法,或参与并体验科学研究的过程,应该是教师要积极投入的一种体验。而且,当前新课程提倡的探究性学习或研究性学习,本身就是要培养学生的科学素养与科学精神!如果教师不具备

小学英语教师基本功比赛朗读材料-MY DREAM

小学英语教师基本功比赛朗读材料-MY DREAM My Dream Everyone has a lot of dreams. Some people want to be rich, dreaming of becoming millionaires [m?lj?'ne?] overnight. Others want to be famous, dreaming of suddenly jumping to great fame. I have a lot of dreams,too. When I was a young girl, I dreamed of becoming a scientist like Hua Iuogen in future. However, I knew very well that I could not succeed without painstaking ['pe?nzte?k??]efforts. So I studied hard in the middle school and college in order to attain my goal. After graduating from college, I found a job as a teacher. Although I was very busy with teaching, I never gave up my goal. I read a lot of books to get more knowledge. I made experiments to practice and apply what I had learnt from the books. Sometimes, I was so deeply indulged [?n'd?ld?] in my research that I forgot my meals and time. Now I have made great progress. Several of my research papers have been published. The methods ['meθ?d] proposed in my papers have been proven

the-way-的用法讲解学习

t h e-w a y-的用法

The way 的用法 "the way+从句"结构在英语教科书中出现的频率较高, the way 是先行词, 其后是定语从句.它有三种表达形式:1) the way+that 2)the way+ in which 3)the way + 从句(省略了that或in which),在通常情况下, 用in which 引导的定语从句最为正式,用that的次之,而省略了关系代词that 或 in which 的, 反而显得更自然,最为常用.如下面三句话所示,其意义相同. I like the way in which he talks. I like the way that he talks. I like the way he talks. 一.在当代美国英语中,the way用作为副词的对格,"the way+从句"实际上相当于一个状语从句来修饰全句. the way=as 1)I'm talking to you just the way I'd talk to a boy of my own. 我和你说话就象和自己孩子说话一样. 2)He did not do it the way his friend did. 他没有象他朋友那样去做此事. 3)Most fruits are naturally sweet and we can eat them just the way they are ----all we have to do is clean or peel them . 大部分水果天然甜润,可以直接食用,我们只需要把他们清洗一下或去皮.

演讲稿之教师基本功即兴演讲

教师基本功即兴演讲 【篇一:青年教师基本功大赛即兴演讲题目】 青年教师基本功大赛即兴演讲题目【题目1】我的兴趣爱好【题目2】谈谈内心和谐【题目3】人最难超越的高度就是自己【题目4】 我的价值观【题目5】谈谈与人相处【题目6】坚守心灵的一方沃 土【题目7】给快乐找个理由【题目8】年轻?没有什么不可以 【题目9】心底无私天地宽【题目10】人是需要一点精神的【题目11】我们与时代同行【题目12】生活从“心”开始【题目13】让更 多的人快乐?【题目14】面对繁杂的教学工作?你如何调整心态 ?【题目15】和谐、健康、快乐【题目16】我喜爱的书刊【题目17】你如何发展自己的专业弱点【题目18】善待自己?呵护希望 【题目18】.上公开课对一个教师的成长的作用【题目19】培养积 极心态?感悟责任人生【题目24】永不言弃?我心永恒?准备时间 ?3分钟?【题目25】.你怎样做个身心健康的老师【题目26】你如何看待家长满意工程?【题目27】新课程执行过程中?你碰到最棘 手的问题是什么【题目28】课堂教学中?你最关注的是什么【题目29】你希望学校领导关心青年教师哪些方面【题目30】谈谈自己的 业余生活【题目31】简评最近的工作情况。【题目32】怎样才能 提高教师的凝聚力。【题目33】.谈谈做班主任的心得【题目34】. 你怎样定义教师【题目35】简介杨森中学【题目36】.点评一位我 校的优秀教师【题目37】.如何看待家长的不理解【题目38】.谈谈 卫生与健康【题目39】谈谈我校的环境. 【题目40】谈谈如何管理 学生【题目41】谈谈你对职业道德的认识【题目42】我参加校本 研修之感想。【题目43】“依法治教?注重服务?着力塑造行业形 象”?请你谈谈你的设想【题目44】.如何发挥你校师生之特长? 【题目45】.怎样调动老师的工作积极性?【题目46】.谈谈你对校 本教研的看法。【题目47】.我是怎样备课的。【题目48】.维持校 门口的秩序?我的一点想法。【题目49】如何丰富教师的业余生活 ?缓解教师的心理压力?【题目50】谈谈你对节日文化的认识【题 目51】学校活动很多的情况下?你如何调节自己的心态?【题目52】德育倡导“全面德育?全员德育”?请你谈谈自己的理解。【题目53】如何让家长尊重教师?【题目54】你认为提高教育质量应从哪里抓 起【题目55】从哪些方面帮助班主任管理学生 【篇二:教师基本功即兴演讲需要准备几分钟】

way的用法总结大全

way的用法总结大全 way的用法你知道多少,今天给大家带来way的用法,希望能够帮助到大家,下面就和大家分享,来欣赏一下吧。 way的用法总结大全 way的意思 n. 道路,方法,方向,某方面 adv. 远远地,大大地 way用法 way可以用作名词 way的基本意思是“路,道,街,径”,一般用来指具体的“路,道路”,也可指通向某地的“方向”“路线”或做某事所采用的手段,即“方式,方法”。way还可指“习俗,作风”“距离”“附近,周围”“某方面”等。 way作“方法,方式,手段”解时,前面常加介词in。如果way前有this, that等限定词,介词可省略,但如果放在句首,介词则不可省略。

way作“方式,方法”解时,其后可接of v -ing或to- v 作定语,也可接定语从句,引导从句的关系代词或关系副词常可省略。 way用作名词的用法例句 I am on my way to the grocery store.我正在去杂货店的路上。 We lost the way in the dark.我们在黑夜中迷路了。 He asked me the way to London.他问我去伦敦的路。 way可以用作副词 way用作副词时意思是“远远地,大大地”,通常指在程度或距离上有一定的差距。 way back表示“很久以前”。 way用作副词的用法例句 It seems like Im always way too busy with work.我工作总是太忙了。 His ideas were way ahead of his time.他的思想远远超越了他那个时代。 She finished the race way ahead of the other runners.她第一个跑到终点,远远领先于其他选手。 way用法例句

the_way的用法大全教案资料

t h e_w a y的用法大全

The way 在the way+从句中, the way 是先行词, 其后是定语从句.它有三种表达形式:1) the way+that 2)the way+ in which 3)the way + 从句(省略了that或in which),在通常情况下, 用in which 引导的定语从句最为正式,用that的次之,而省略了关系代词that 或 in which 的, 反而显得更自然,最为常用.如下面三句话所示,其意义相同. I like the way in which he talks. I like the way that he talks. I like the way he talks. 如果怕弄混淆,下面的可以不看了 另外,在当代美国英语中,the way用作为副词的对格,"the way+从句"实际上相当于一个状语从句来修饰全句. the way=as 1)I'm talking to you just the way I'd talk to a boy of my own. 我和你说话就象和自己孩子说话一样. 2)He did not do it the way his friend did. 他没有象他朋友那样去做此事. 3)Most fruits are naturally sweet and we can eat them just the way they are ----all we have to do is clean or peel them . 大部分水果天然甜润,可以直接食用,我们只需要把他们清洗一下或去皮. the way=according to the way/judging from the way 4)The way you answer the qquestions, you must be an excellent student. 从你回答就知道,你是一个优秀的学生. 5)The way most people look at you, you'd think a trashman was a monster. 从大多数人看你的目光中,你就知道垃圾工在他们眼里是怪物. the way=how/how much 6)I know where you are from by the way you pronounce my name. 从你叫我名字的音调中,我知道你哪里人. 7)No one can imaine the way he misses her. 人们很想想象他是多么想念她. the way=because 8) No wonder that girls looks down upon me, the way you encourage her. 难怪那姑娘看不起我, 原来是你怂恿的

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