英语书面表达。假如你是李华，你收到朋友李磊的来信，他告诉你他不适应高一数学老师讲的课

Dear Li Lei，

I have got your letter， and I feel sorry for the situation that you are in I understand that you are currently having difficulties with your new math teacher’s teaching style, and are worrying of the fact that you are lagging behind other classmates

I think that the best way for you to take is to quickly calm down from the current state Worry does not help you but make things worse I hope you can discuss with your classmates about the points that you do not understand, and seek for some assistance, so that you will not be left behind Then you should go to the teacher and tell him your problem I believe that he will be more than happy to help you, as no teacher would like to have any students falling behind

It is a challenge when a familiar teacher is changed with a new one To adapt to the new teacher’s teaching style is something you have to learn There will be many more changes as such in your future life I advise you to master this skill as soon as possible

Write me, or call me, if you need further help And I hope you　to get out of this situation very quickly

Yours，

Friend, Li Hua

数学呢，用的是脑力。多做题，直到你看到试卷上的题你都做过为止。不懂不要问，要经过思考后，确实 不会 才问。 英语呢，多听 多读 多看 多写 学到跟母语一样的熟悉，想想你当初怎么学中文的，语言也不是一生下来就会，是吧。总之，坚持 才是最重要的。

一、作文要学会积累 “读书破万卷，下笔如有神”，“巧妇难为无米之炊”古人这些总结，从正反两方面说明了“积累”在写作中的重要性。“平时靠积累，考场凭发挥”，这是考场学子的共同体会。 （一）语言方面要建立“语汇库”。语汇是文章的细胞。广义的语汇，不仅指词、短语的总汇，还包括句子、句群。建立“语汇库”途径有二：第一是阅读。平时要广泛阅读书籍、报刊，并做好读书笔记，把一些优美的词语、句子、语段摘录在特定的本子上，也可以制作读书卡片上。第二是生活。平时要捕捉大众口语中鲜活的语言，并把这些语言记在随身带的小本子或卡片上，这样日积月累、集腋成裘，说话 就能出口成章，作文就会妙笔生花。 （二）要加强材料方面的积累。材料是文章的血肉。许多学生由于平时不注意积累素材，每到作文时就去搜肠挂肚，或者胡编或者抄袭。解决这一问题的方法是积累素材。平时有条件的可带着摄像机、录音机、深入观察生活、积极参与生活，并与写生、、写日记、写观察笔记等形式，及时记录家庭生活、校园生活、社会生活中的见闻。记录时要抓住细节，把握人、事、物、景的特征。这 样，写出的文章就有血有肉。 （三）要加强思想方面的积累。观点是文章的灵魂。文章中心不明确，或立意不深刻，往往说明作者思想肤浅。因此，有必要建立“思想库”。方法有二：第一要善思。“多一份思考，多一份收获。”平时要深入思考，遇事多问问“为什么”、“是什么”、“怎么样”。这样就能透过现象看本质。还要随时把思维的“火花”、思索的结论记录下来。第二要辑录，也就是要摘录名人名言，格言警句等。 总之，作文要加强积累，建立好“语汇库”、“素材库”、“思想库”这三大写作仓库，并要定期盘点、整理、分门别类，且要不断充实、扩容。 二、写好作文先学会观察 鲁迅先生在回答文学青年“如何才能写出好文章”的问题时强调了两点：一是多看，二是多练。这里的“多看”即指多观察。这就说明：要写好文章，要掌握娴熟的文章写作手法，就要多观察，学会观察，观察是写作的必要前提和基础。 俄国小说家契诃夫就这样谆谆告诫初学者：“作家务必要把自己锻炼成一个目光敏锐永不罢休的观察家！——要把自己锻炼到观察简直成习惯，仿佛变成第二个天性。”把观察锻炼成习惯，锻炼成第二天性，这是一种很需要时间去磨练的功夫，是很有作用，很了不起的功夫。 要留心观察身边的人、事、景、物，从中猎取你作文时所需要的材料：你要对一些看似不大实则很有意义的事情产生兴趣，注意观察起因、过程和结果；你要留意校园花坛里的植物一年四季如何变化它的颜色，学会刨根问底，弄清这些变化的来龙去脉；你要走向社会，同更多的人接触，观察他们的一言一行，要思索一些东西，随时将它们汇入自己思想的长河。这就是观察的过程，观察过程中要注意以下几点： （一）观察决不要仅仅局限于“用眼看”。广义的更有实际意义的观察是指要将人的五官全部调动起来：用耳朵去聆听，用身体去感受，更重要的是要用心、用脑去思索，这样的观察才会更加细腻、深刻。 （二）观察过程中要注意运用好“烂笔头”。俗语说得好：好记性不如烂笔头。好多同学每天看到的挺多，思索的也挺多，但是不善于随时记下来，这样就会使观察到的材料付之东去，许多有价值的东西也会白白浪费掉。 （三）观察尤其要注意持之以恒。别犯“脑热病”，三分钟的热度对与写好作文是没有益处的，你要将观察生活、思索生活贯穿于你生活的每一天，这样你才会写出妙文佳作来。 学会观察对于写好作文有着巨大的奠基和推动作用，离开了观察，你往往会感到难以下笔。愿你学会观察，不断培养，提高赞成的观察能力，在写作实践中取得得大的进步。 三、意高则文胜 立意，就是确立文章的中心和意图。那么文章在立意时要注意哪些问题呢？ （一）立意要正确 正确是文章立意的第一要义，所谓正确就是要保证文章的感情和思想观点正确，符合客观事物的本质和规律，符合我国基本政治原则，符合人的基本道德要求，能给人以积极的启发。 （二）立意要专一 “作文之事，贵于专一，专则生巧，散乃人愚。”无论多么复杂的事情，主旨不能分散。一篇文章如果既想说明这个问题，又想阐述那个观点，东拉西扯，必然立意不明确。其实，想面面俱到肯定会面面 不到位，况且一篇文章只能有一个中心，与其“贪多嚼不烂”，不如集中笔墨表现一个中心，即使是通过数件事来表现中心，也要做到紧帖中心行文，目标始终如一，着墨于材料与中心的结合点，使材料蕴涵的力量全部直指中心。 （三）立意要新颖 文章最忌随人后，人云亦云，新颖的角度是作文创新的核心。立意新颖要求跳出陈旧的框框、不按顺向思维、习惯思维或原有的心理定式进行立意构思，而是以独到的视角去审视题目中所蕴涵的另类内容，避开他人所常写，写别人所未写。即使同一写作对象，总是可以从许多角度切入，只要我们打破思维的定式，站在时代的高度，避“俗”求“异”，多角度、多侧面思考，或联想、或扩展、或类比、或逆向，发人之所未发，就能在五颜六色的天空里构筑属于你的最 美的彩虹。 （四）立意要深刻。 立意的深刻是指确立的主题不是人所共知的肤浅的道理，而要透过现象看本质，挖掘出更深层的意蕴。 （五）立意要巧妙 在习作有限的文字内，要表现较为深刻的思想，就只能一粒沙里看世界，从生活中的一斑一点、一枝一叶去再现生活的全貌，从一个点、一个片段、一个瞬间、一个现象入手，对社会、对人生进行描述和深思，即立意要大处着眼，小处落笔，角度虽小，却能小中见大，平中见奇。 四、怎样写好状物的文章 如何写好状物文章呢？请大家牢记以下五点： （一）交代来历 文章开头用一、两句话介绍物品的历来，自然地引出下文。 （二）具体描述 通过颜色、形状把物品外形准确勾勒出来，写出特点给人以鲜明的感觉。多用一些恰当的修辞手法，展开合理的想象。赋予它情感，就会使物品活生生地跃然纸上。 （三）动静结合 先写静态的外形特点，再写它的动态。这样会增添一些情趣，写出的文章也会更加生活。 （四）说明功能 每件物品都有它独特的作用，一般来说，这类文章要在结尾处说明一下物品的作用这样会更加突出这件物品的特点。 （五）融进感情 字里行间要流露出作者对所描述的物品的喜欢、珍惜之情，这样会增强文章的感染力。 五、长话短说话缩写 读了一篇好文章，你一定很受感动吧？要是你想把这个故事简单的介绍给别人，就可以用缩写的形式。本次习作练习的是缩写，要求主要内容完整，重点突出；语言简练，缩写后文字不要超过三百字。 缩写是作文中的一种常见形式。所谓缩写，就是在不改变中心，不改变体裁，保留原文的主要内容的情况下，把一篇长文章压缩成短文章。学会缩写，能帮助我们更好的理解课文内容，培养我们的阅读能力和概括能力，进而提高语言表达能力。那么，怎样进行缩写呢？ （一）要留主干、去枝叶。在缩写课文时，我们要删减次要的人物、次要的事件，以及说明、交代等地方，留下课文的主要内容。如《小抄写员》一文中我们首先要思考：叙利奥是在什么情况下开始帮爸爸工作的，他为什么要偷偷地做，怎样做的，结果怎样，把最使你感动的地方画下来。然后把 帮爸爸抄写的事情经过写下来，而把当他被爸爸误解后是怎样想的等无关紧要的删除。 （二）要直接简化任务语言。在叙述中，我们要把直接叙述变成间接叙述，尽可能简化人物语言。这样，既使情节连贯，又使语句“简练”。 （三）要保持文章脉络清晰。缩写课文要注意保持文章主要脉络的清晰和完整，特别是故事发生的时间、地点、 人物、事件的起因、经过、结果等要素要齐全，让人读了对原文有个大概的了解。 （四）要不改变课文原意。缩写课文最要紧的是缩写后不可改变课文原意，做到内容基本保持和原文一直，不会使读者产生歧义。 中文：要回答这个似乎非常简单：把定理、公式都记住，勤思好问，多做几道题，不就行了。

事实上并非如此，比如：有的同学把书上的黑体字都能一字不落地背下来，可就是不会用；有的同学不重视知识、方法的产生过程，死记结论，生搬硬套；有的同学眼高手低，“想”和“说”都没问题，一到“写”和“算”，就漏洞百出，错误连篇；有的同学懒得做题，觉得做题太辛苦，太枯燥，负担太重；也有的同学题做了不少，辅导书也看了不少，成绩就是上不去，还有的同学复习不得力，学一段、丢一段。

英语翻译：Must reply as if: The theorem, the formula live, the attendance thinks, makes several, was not good at the matter is not true, for instance: Some with can a character not fall to the ground on boldface under the back, may not use; Some with not the heavy knowledge, the method fresh regulation, the death, copy mechanically and apply slavishly; Some with have grand plans but little skill, “thought that” and “”, one “” and “calculates”, is full of loopholes; Some with do, must do is too laborious, is too arid, is too heavy; Also some with have done many, also looked many, the achievement is cannot come up, some with duplicate ineffectual, section, a section

多是多了点，尽力抄吧，希望对你有用`没用的话也没办法了

　Dear Wang Tao, I'm very glad to be your friend You asked me how to learn English well Here are some tips for you in learning English

First, you should listen carefully in class It's very important Second, you should do your homework carefully after class It is necessary for you Third, you should practice your listening as much as you can, You can listen to the radio more It's a good way to practice your listening Finally, you can go to the English Corner to practice you oral English

As the saying goes" Rome wasn't built in a day' If you can do all things above Keep moving, never give up I believe your English will get better soon

I love Chinese

I like the Chinese, like her kaleidoscope of characters, like her fantastic article, like her elegant words, more like when learning she won once successful

First, Chinese is the mother tongue, the language contains the essence of Chinese culture, followed by the language can teach us the truth in life , The language allows us to understand others say say, enhanced exchanges between people, language and finally let us write beautiful poems, you can write your own mood diary, cultivate our sentiments

I like the language, is that simpleI will write more in the future to read, let me learn better language scores

手写，望采纳、、、

Innovative education is to train a person's innovation spirit and innovation ability is a basic value orientation of education In order to meet the challenge of knowledge economy era, request mathematics teacher in middle school mathematics teaching, we must attach importance to education, the innovation to teach basic knowledge and gradually cultivate students' innovative consciousness and creative thinking, creating good combine the teaching environment, consciously cultivate students' innovation consciousness, stimulate students' creative motivation, the development of students' innovation ability and fostering the development of a new generation to adapt to the new century A, mathematics teaching innovation must be correctly understood the essence of education The so-called "innovation education", it is to point to in the basic education phase to cultivate students' innovation consciousness, innovative thinking and innovation ability is a basic value orientation of education practice, students in class to impose innovation through education, make them as an independent individuals, in the original foundation up discovery, knowledge useful new knowledge, new things, new thinking, new methods, mastering the basic rule and have corresponding ability, for future become "innovation-oriented" talents based Lay the comprehensive Mathematics as a fundamental subject, a door must be implemented innovation education spiritual essence, widely carry out various forms of innovation education in mathematics teaching of primary and middle school students, through education and impose influence, led them to understand mathematics field of new discovery, new thoughts, new methods, grasp the general rules, and cultivate their has certain mathematical ability, creative talents for future become lay mathematics quality foundation

Second, adhere to the "people-oriented" actively explore new teaching modes and methods, and cultivate students' innovation consciousness Innovation consciousness is refers to learners active found the problem, and actively explore the ideas and methods to solve problems, and give full play to their potential a psychological tendency Therefore, math teaching must set up "student-oriented" thought, establish training students' innovative abilities education teaching concept, and takes it as a guide, organize the teaching in different directions 1 Should attach importance to the emotional needs of the students, trying to build relaxed and lively classroom atmosphere and harmonious relation between teacher and students Psychology research shows that people in the mood is low level of thinking when only one half of high mood Thus mathematics teachers must pay attention to the emotional needs of the students, be good at math with his emotions to mobilize the fiery students to mathematics study good emotions, and build a good learning environment Through the establishment relaxed harmonious teaching atmosphere to be full of passion, by affection of estrogen, initiates student, lets the student emotions comfortable, thereby urging have fun learning students to think actively mathematical concepts, theorem, formula and issues, students in the emotional domination, thinking spirit to very agile Victoria and can burst out math innovation consciousness in the twinkling of an eye 2 Creating context, let students hands-on practice and experience, stimulates the student to explore desire Many mathematical problems in life practice itself found in people, and put forward in teaching of certain teaching situation, create, and guide students to stimulate the students' interest in hands-on practice, emotion activity practice combined and perceptual activities, stimulate students' thinking, make its creativity get maximum found and play For example in the speak triangle when falling theorem, it could be set question: (1) cut good ⊿ ABC pieces of paper before class, ∠ A, cut ∠ B and ∠ C together and observe their composition what cape (2) which can you guess what conclusion Students in brain, hands-on, move the eye, saying in the practice of own inquiry achievements harvest, cultivate the observing ability, stimulated the students learn mathematics interest and explore the potential Enable students to obtain the inquiry of fun, cognitive fun, innovation of fun Visible, the institution of teaching situation to cultivate students' innovation consciousness 3 Cultivate mathematical innovation idea The establishment of the concept of mathematical innovation, not accomplished overnight in mathematics education, it is under the influence of long-term accumulated, long-term seepage, gradually formed in imperceptible High school math innovation concept is to cultivate students the key period Middle school students are in the golden age of intellectual development, but also physical and mental development and the world outlook, the outlook on life, the values of the most important period in the form So teachers should be in accordance with their aptitude, create good occasion, the education condition and mobilize all positive factors, promote the formation of students' mathematical innovation concept (1) encourage students dare to innovation, dares to innovate (2) contact life reality, expanding to explore space, cultivate students' innovative consciousness

Three, cultivating students' innovative ability Innovation ability is a student mathematics quality, mathematical ability centralism manifests The innovation ability, is mainly refers to the students can creatively found problems, this paper puts forward problems ability and creative use of knowledge and previous experience analysis problem, problem-solving ability The innovation ability is the comprehensive embodiment of the quality of innovation, both creative thinking, also including the innovation ability, innovation emotions and innovative personality factors 1 Paying attention to the cultivation of the students' thinking ability, training innovative thinking Mathematics is thinking of gymnastics, therefore, if can arrange of mathematics teaching material, wonderful opportunely, create a good guide to the context of thinking, training the students' thinking is very beneficial In the teaching should break "teacher speak, students listen to" routine teaching, become "teach" to "explore", fully exposed the process of knowledge acquisition, prompting students begin into innovative thinking state, with the identity to find problems explorer, sums up the rule 2 Cultivate mathematical ability, form the innovative skills Modern creation theory suggests that, in order to create thinking as the core of the innovative skills not by imparting for, and is not intended to teach out, it is often the "creator through psychological hot flashes period" and "brain storm" of "insight" after Therefore, in the classroom teaching training students' innovative skills must rely on the subtle influence method, lets the student experience in continuously in the learning process, comprehend innovative thinking skills In classroom teaching, we should guide the student to the future of things, and thereby fantasy bold goal oriented fantasy, and stimulate students' reorganization, migration, the comprehensive use of knowledge, to search for various will fantasy goal into reality of the way, thus promoting innovation skills 3 Advocate, experience learning mathematics success inspired the respect of others In mathematics teaching, encouraging students to establish the comrade Chou en-lai "for the Chinese rise books" lofty ideal; Edison's invention as having a firm belief of the filament Teachers should intentionally creating successful opportunity, help students achieve success, with some experience their success, from the success of inspire, thereby enhancing innovation motive, enthusiasm and confidence In a word, innovation education is the quality education, high-level innovation consciousness, innovation spirit and innovation ability training is the core content of quality education and ultimate aim, how in mathematics teaching of fostering innovative consciousness and innovative ability, make the students happy growth of innovation, it is an important and difficult topic, that remains to be in our teaching practice in future further discussion and perfect

创新教育是以培养人的创新精神和创新能力为基本价值取向的教育。为了迎接知识经济时代的挑战，要求数学教师在中学数学教学中，必须重视创新教育，把传授基础知识和逐步培养学生的创新意识和创造性思维结合起来，创造良好的教学环境，有意识的培养学生的创新意识，激发学生的创造动机，发展学生的创新能力，为国家培养出适应新世纪发展的一代新人。

一、数学教学中必须正确理解创新教育的实质

所谓“创新教育”，是指在基础教育阶段，以培养学生创新意识、创新思维、创新能力为基本价值取向的教育实践，在课堂上通过对学生施以创新教育，使他们作为一个独立的个体，在原有的基础上去发现、认识有用的新知识、新事物、新思维、新方法，掌握基本规律并具备相应的能力，为将来成为“创新型”人才奠定全面的基础。数学作为一门基础学科，必须全面贯彻创新教育的精神实质，广泛开展多种形式的创新教育，在数学教学中，通过对中小学生施以教育和影响，促使他们去认识数学领域的新发现、新思想、新方法等，掌握其一般规律，培养他们具有一定的数学能力，为将来成为创新型人才奠定数学素质基础。

二、坚持“以人为本”积极探索新的教学方式方法，培养学生的创新意识

创新意识是指学习者主动发现问题，积极探求解决问题的思路和方法，从而充分发挥自己的潜能的一种心理趋向。因此，数学课的教学必须树立“以学生发展为本”的思想，建立培养学生创新能力的教育教学观，并以此为指导，从不同方向组织教学。

1 要重视学生的情感需求，努力营造轻松活泼的课堂气氛和融洽的师生关系

心理学研究表明，人在情绪低落时的思维水平只有情绪高涨时的二分之一。因此数学教师必须重视学生的情感需求，要善于用自己炽热的数学情感去调动激发学生对数学学习的美好情感，营造一个良好的学习环境。通过创设轻松和谐的教学氛围，以饱满的激情，以情动情，引发学生的情感的共鸣，让学生舒心愉快地学习，进而促使学生积极思考数学概念，定理，公式和问题等，学生在情感的支配下，思维灵维而敏捷从而极有能迸发出数学创新意识的灵光。

2 创设情境，让学生亲自动手实践、体验，激发学生探究欲望

许多数学问题本身就是人们在生活实践中发现和提出的，在教学中创设一定的教学情境，激发学生兴趣，引导学生亲自动手动脑实践，把情感活动和感知活动结合起来，激活学生的思维，使其创造力得到最大限度地发现和发挥。例如在讲三角形内角和定理时，可以这样设置问题：

（1）把课前剪好的⊿ABC纸片，剪下∠A、∠B和∠C拼在一起，观察它们组成什么角？

（2）由此你能猜出什么结论？

学生在动脑、动手、动眼、动口的实践中收获了自己的探究成果，培养了观察能力，激发了学生学数学的兴趣和探究潜能。使学生获得了探究的乐趣、认知的乐趣、创新的乐趣。可见教学情境的创设，有利于培养学生的创新意识。

3 培养数学创新观念

数学创新观念的确立，绝非一朝一夕就能完成，它是在数学教育的影响下，长期积累，长期渗透，在潜移默化中逐渐形成的。中学阶段是培养学生数学创新观念的关键时期。中学生正处于智力发展的黄金时期，也是身心发展和世界观、人生观、价值观形成的最重要时期。因此教师应因势利导、因材施教，创设良好的教育条件，调动各种积极因素，促进学生数学创新观念的形成。

（1）鼓励学生敢于创新，勇于创新

（2）联系生活实际，拓展探究的空间，培养学生的创新意识。

三、培养学生的创新能力

创新能力是一个学生数学素质，数学能力的集中体现。创新能力，主要是指学生能够创造性地发现问题，提出问题的能力以及创造性地运用所学的知识和已有的经验分析问题，解决问题的能力。创新能力是个人创新素质的综合体现，既包括创造性思维，也包括创新技能，创新情感和创新人格等因素。

1 注重学生思维能力的培养，训练创新思维

数学是思维的体操，因此，若能对数学教材巧安排，对问题妙引导，创设一个良好的思维情境，对学生的思维训练是非常有益的。在教学中应打破“老师讲，学生听”的常规教学，变“传授”为“探究”，充分暴露知识形成的过程，促使学生一开始就进入创新思维状态中，以探索者的身份去发现问题、总结规律。

2 培养数学能力，形成创新技能

现代创造理论表明，以创造思维为核心的创新技能不是靠传授而得到的，也不是手把手教出来的，它往往是创造者经过心理的“烘热期”和“脑风暴”后的“顿悟”。因而，课堂教学中培养学生创新技能必须依靠潜移默化的熏陶方法，让学生在不断经历的学习过程中，感悟到创新思维的技巧。在课堂教学中，我们应引导学生对事物的未来大胆进行幻想，并以此幻想目标为导向，激励学生改组、迁移、综合运用掌握的知识，寻找各种将幻想目标化为现实的途径，从而增进创新技能。

3 倡导成功激励，体验数学学习的成功感

在数学教学中，激励学生要树立周恩来同志“为中华之崛起而读书”的远大理想；具有像爱迪生发明灯丝一样的坚定信念。教师要有意创设成功的机遇，帮助学生实现成功，体验成功，从以有的成功中获得激励，从而增强创新的动机、热情和信心。

总之，创新教育是高层次的素质教育，创新意识、创新精神、创新能力的培养是素质教育的核心内容和终极目标，如何在数学教学中培养创新意识、创新能力，使学生在创新的快乐中成长是一个重要而艰巨的课题，这仍有待于我们在今后的教学实践中进一步探讨和完善。