Ignore textbooks and pay no attention to the foundation

萬(wàn)丈高樓平地起，高樓的聳立而不倒，在于基石的牢固。打基礎(chǔ)最好的來(lái)源是課本，課本就是基礎(chǔ)。

Ten thousand high-rise buildings rise from the ground, and the standing of high-rise buildings does not fall, which lies in the firmness of the cornerstone. The best source of foundation is textbooks, which is the foundation.

很多人都認(rèn)為，課本講得很簡(jiǎn)單，就幾個(gè)定理，幾個(gè)公式，背完就可以再也不用看了，于是拼命去做題，學(xué)會(huì)應(yīng)用。想得其實(shí)沒錯(cuò)，但大量題做完后還是不怎么會(huì)用。為什么?因?yàn)椴恢蓝ɡ砉降木A在哪里。

Many people think that the textbook is very simple, just a few theorems and formulas. After reciting them, they can no longer read them, so they try their best to do problems and learn to apply them. In fact, you are right, but you still don't know how to use it after a large number of questions are finished. Why? Because I don't know where the essence of theorem formula is.

定理不簡(jiǎn)單就是幾個(gè)字，它還包括證明的思路、方法、適用類型等等。舉些例子，羅爾定理的證明方法在許多計(jì)算題，選擇題中就用到;證明題中構(gòu)造函數(shù)就用到證明拉格朗日中值定理的函數(shù)構(gòu)造法。這些基礎(chǔ)知識(shí)都是最基本也是最精華的東西，一定要掌握。

The theorem is not simply a few words. It also includes the ideas, methods, applicable types and so on. For example, the proof of Rolle's theorem is used in many calculation problems and multiple-choice problems; The constructor in the proof problem uses the function construction method to prove the Lagrange mean value theorem. These basic knowledge is the most basic and the most essential thing. We must master it.

規(guī)劃能力差，沒有計(jì)劃性

Poor planning ability, no planning

古語(yǔ)說(shuō)：“凡是預(yù)則立，不預(yù)則廢。”做什么事都要定一個(gè)計(jì)劃，包括整個(gè)考研數(shù)學(xué)復(fù)習(xí)分幾個(gè)時(shí)間階段、每個(gè)階段都要看什么書、整個(gè)復(fù)習(xí)進(jìn)度分為幾塊、每天都要完成多少任務(wù)等等，這些都是要自己在復(fù)習(xí)開始就制定好的。

As the old saying goes, "if you are prepared, you will be established, and if you are not prepared, you will be abandoned." Make a plan for everything, including several time stages of the whole postgraduate entrance examination mathematics review, what books to read at each stage, how many tasks to complete every day, etc. These should be formulated at the beginning of the review.

不過(guò)也要根據(jù)實(shí)際情況和復(fù)習(xí)進(jìn)度，平時(shí)多總結(jié)，經(jīng)常做一些調(diào)整和改進(jìn)。平時(shí)要規(guī)定自己按計(jì)劃完成任務(wù)，一來(lái)讓自己的復(fù)習(xí)進(jìn)度更有規(guī)劃，二來(lái)也能克制自己的惰性。所以，還沒有作計(jì)劃的同胞們最好花1小時(shí)好好地制訂個(gè)考研復(fù)習(xí)計(jì)劃。

But also according to the actual situation and review progress, usually summarize more, and often make some adjustments and improvements. At ordinary times, we should stipulate that we should complete the tasks according to the plan. First, we can make our review progress more planned, and second, we can restrain our inertia. Therefore, the compatriots who have not made a plan had better spend an hour to make a review plan for the postgraduate entrance examination.

忽略動(dòng)手能力，只看不做

Ignore the practical ability, just look and don't do it

可能因?yàn)橘Y料太多時(shí)間太少，也可能是懶惰，很多人買了資料后只是匆匆茫茫的看書而不動(dòng)手練習(xí)，題目看明白就翻過(guò)去了，造成眼高手低。數(shù)學(xué)學(xué)科的性質(zhì)是一門嚴(yán)謹(jǐn)?shù)膶W(xué)科，容不得半點(diǎn)紕漏，在我們還沒有建立起來(lái)完備的知識(shí)結(jié)構(gòu)之前，一帶而過(guò)的復(fù)習(xí)必然會(huì)難以把握題目中的重點(diǎn)，忽略精妙之處。

It may be because there are too many materials and too little time, or it may be laziness. After buying the materials, many people just read in a hurry without practicing. When they see the problem clearly, they turn it over, resulting in high eyes and low hands. The nature of mathematics is a rigorous discipline, which can not tolerate any mistakes. Before we have established a complete knowledge structure, it is bound to be difficult to grasp the key points of the topic and ignore the subtleties.

點(diǎn)擊查看：高中數(shù)學(xué)知識(shí)點(diǎn)總結(jié)及復(fù)習(xí)資料

Click to view: summary and review materials of high school mathematics knowledge points

況且，通過(guò)動(dòng)手練習(xí)，我們還能規(guī)范答題模式，提高解題和運(yùn)算的熟練程度，三個(gè)小時(shí)那么大的題量，本身就是對(duì)計(jì)算能力和熟練程度的考察，而且現(xiàn)在的閱卷都是分步給分的，怎么作答有效果，這些都要通過(guò)自己不斷的摸索去體會(huì)。題目看懂了不代表這個(gè)題目就會(huì)做了，其實(shí)真正動(dòng)手就會(huì)碰到很多問(wèn)題，去解決這些問(wèn)題就是提高自己的過(guò)程。

Moreover, through hands-on practice, we can also standardize the answer mode and improve the proficiency of problem solving and operation. The amount of questions for three hours is itself an investigation of computing ability and proficiency, and now the marking is given step by step. How to answer effectively should be realized through our own continuous exploration. Understanding the problem does not mean that the problem will be done. In fact, if you really start, you will encounter many problems. Solving these problems is the process of improving yourself.

大海撈針，題海戰(zhàn)術(shù)

Looking for a needle in a haystack

做題的目的是要把整個(gè)知識(shí)通過(guò)題目加深理解并有機(jī)的串聯(lián)起來(lái)，達(dá)到理解知識(shí)運(yùn)用知識(shí)的目的。數(shù)學(xué)的學(xué)習(xí)離不開做題，在復(fù)習(xí)過(guò)程中，我們通過(guò)做題，發(fā)散開來(lái)對(duì)抽象知識(shí)點(diǎn)的內(nèi)涵和外延進(jìn)行深入理解，這是非常必要的。

The purpose of doing questions is to deepen the understanding of the whole knowledge through the questions and connect them organically, so as to achieve the purpose of understanding knowledge and using knowledge. Mathematics learning is inseparable from problem-solving. In the review process, it is very necessary for us to deeply understand the connotation and extension of abstract knowledge points through problem-solving.

但是時(shí)刻不要忘了最根本的目的是要對(duì)知識(shí)點(diǎn)進(jìn)行理解進(jìn)而形成我們自己有機(jī)聯(lián)系的知識(shí)結(jié)構(gòu)。因此做題的思路和目的，必然應(yīng)該是從理解到做題到歸納再回到理解。在此之外，做一些題目增加熟練度是有必要的，但如果超出了這個(gè)限度，讓做題成為一種機(jī)械化的勞動(dòng)，就沒必要了。

But don't forget that the most fundamental purpose is to understand the knowledge points and form our own organic knowledge structure. Therefore, the idea and purpose of doing questions must be from understanding to doing questions to induction and then back to understanding. In addition, it is necessary to do some topics to increase proficiency, but if it exceeds this limit, it is not necessary to make topic doing a mechanized labor.

要記住，時(shí)刻目標(biāo)明確、深入思考才是提高數(shù)學(xué)思維和數(shù)學(xué)能力的關(guān)鍵。數(shù)學(xué)學(xué)習(xí)的關(guān)鍵在于理解，題是做不完的，題型的變化也是不可能窮盡的，但是萬(wàn)變不離其宗的是它本身需要運(yùn)用的知識(shí)點(diǎn)，只要真正掌握了知識(shí)點(diǎn)才是真正學(xué)習(xí)的目的，才能考出好的成績(jī)。

Remember, the key to improve mathematical thinking and mathematical ability is to have a clear goal and think deeply at all times. The key to mathematics learning lies in understanding. Problems can't be finished, and the changes of problem types can't be exhausted. However, what can't change is the knowledge points it needs to use. As long as it really grasps the knowledge points, it is the real purpose of learning and can get good results.

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