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高中数学没学好有哪些原因?
来源:http://www.wanzhi100.com/ 发布时间:2022-01-17
忽略课本,不重视基础
Ignore textbooks and pay no attention to the foundation
万丈高楼平地起,高楼的耸立而不倒,在于基石的牢固。打基础最好的来源是课本,课本就是基础。
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.
很多人都认为,课本讲得很简单,就几个定理,几个公式,背完就可以再也不用看了,于是拼命去做题,学会应用。想得其实没错,但大量题做完后还是不怎么会用。为什么?因为不知道定理公式的精华在哪里。
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.
定理不简单就是几个字,它还包括证明的思路、方法、适用类型等等。举些例子,罗尔定理的证明方法在许多计算题,选择题中就用到;证明题中构造函数就用到证明拉格朗日中值定理的函数构造法。这些基础知识都是最基本也是最精华的东西,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.
规划能力差,没有计划性
Poor planning ability, no planning
古语说:“凡是预则立,不预则废。”做什么事都要定一个计划,包括整个考研数学复习分几个时间阶段、每个阶段都要看什么书、整个复习进度分为几块、每天都要完成多少任务等等,这些都是要自己在复习开始就制定好的。
春季高考培训
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.
不过也要根据实际情况和复习进度,平时多总结,经常做一些调整和改进。平时要规定自己按计划完成任务,一来让自己的复习进度更有规划,二来也能克制自己的惰性。所以,还没有作计划的同胞们最好花1小时好好地制订个考研复习计划。
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.
忽略动手能力,只看不做
Ignore the practical ability, just look and don't do it
可能因为资料太多时间太少,也可能是懒惰,很多人买了资料后只是匆匆茫茫的看书而不动手练习,题目看明白就翻过去了,造成眼高手低。数学学科的性质是一门严谨的学科,容不得半点纰漏,在我们还没有建立起来完备的知识结构之前,一带而过的复习必然会难以把握题目中的重点,忽略精妙之处。
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.
点击查看:高中数学知识点总结及复习资料
Click to view: summary and review materials of high school mathematics knowledge points
况且,通过动手练习,我们还能规范答题模式,提高解题和运算的熟练程度,三个小时那么大的题量,本身就是对计算能力和熟练程度的考察,而且现在的阅卷都是分步给分的,怎么作答有效果,这些都要通过自己不断的摸索去体会。题目看懂了不代表这个题目就会做了,其实真正动手就会碰到很多问题,去解决这些问题就是提高自己的过程。
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.
大海捞针,题海战术
Looking for a needle in a haystack
做题的目的是要把整个知识通过题目加深理解并有机的串联起来,达到理解知识运用知识的目的。数学的学习离不开做题,在复习过程中,我们通过做题,发散开来对抽象知识点的内涵和外延进行深入理解,这是非常必要的。
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.
但是时刻不要忘了最根本的目的是要对知识点进行理解进而形成我们自己有机联系的知识结构。因此做题的思路和目的,必然应该是从理解到做题到归纳再回到理解。在此之外,做一些题目增加熟练度是有必要的,但如果超出了这个限度,让做题成为一种机械化的劳动,就没必要了。
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.
要记住,时刻目标明确、深入思考才是提高数学思维和数学能力的关键。数学学习的关键在于理解,题是做不完的,题型的变化也是不可能穷尽的,但是万变不离其宗的是它本身需要运用的知识点,只要真正掌握了知识点才是真正学习的目的,才能考出好的成绩。
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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