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高考文科数学复习方法
来源:http://www.wanzhi100.com/ 发布时间:2022-02-15
1.强化“三基”,夯实基础
1. Strengthen the "three foundations" and consolidate the foundation
所谓“三基”就是指基础知识、基本技能和基本的数学思想方法,从近几年的高考数学试题可见“出活题、考基础、考能力”仍是命题的主导思想。因而在复习时应注意加强“三基”题型的训练,不要急于求成,好高骛远,抓了高深的,丢了基本的。
The so-called "Three Basics" refers to basic knowledge, basic skills and basic mathematical thinking methods. From the mathematics test questions of the college entrance examination in recent years, it can be seen that "living questions, test basis and test ability" are still the dominant idea of the proposition. Therefore, when reviewing, we should pay attention to strengthening the training of "three basic" questions. Don't be eager for success, aim high, grasp the advanced and lose the basic.
考生要深化对“三基”的理解、掌握和运用,高考试题改革的重点是:从“知识立意”向“能力立意”转变,考试大纲提出的数学学科能力要求是:能力是指思维能力、运算能力、空间想象能力以及实践能力和创新意识。
Candidates should deepen their understanding, mastery and application of the "Three Basics". The focus of the reform of college entrance examination questions is to change from "knowledge conception" to "ability conception". The mathematical subject ability requirements put forward in the examination outline are: ability refers to thinking ability, computing ability, spatial imagination ability, practical ability and innovative consciousness.
新课标提出的数学学科的能力为:数学地提出问题、分析问题和解决问题的能力,数学探究能力,数学建模能力,数学交流能力,数学实践能力,数学思维能力。
The abilities of mathematics subject proposed in the new curriculum standard are: the ability to raise, analyze and solve problems mathematically, the ability of mathematical inquiry, the ability of mathematical modeling, the ability of mathematical communication, the ability of mathematical practice and the ability of mathematical thinking.
考生复习基础知识要抓住本学科内各部分内容之间的联系与综合进行重新组合,对所学知识的认识形成一个较为完整的结构,达到“牵一发而动全身”的境界。
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When reviewing the basic knowledge, candidates should grasp the connection and integration between the contents of various parts of the subject, and re combine them, so as to form a relatively complete structure for the understanding of the knowledge learned, so as to achieve the state of "pulling one hair and moving the whole body".
强化基本技能的训练要克服“眼高手低”现象,主要在速算、语言表达、解题、反思矫正等方面下功夫,尽量不丢或少丢一些不应该丢失的分数。要注重基本数学思想方法在日常训练中的渗透,逐步提高学生的思维能力。
To strengthen the training of basic skills, we should overcome the phenomenon of "high vision and low hand", mainly focus on quick calculation, language expression, problem solving, reflection and correction, and try not to lose or lose some points that should not be lost. We should pay attention to the penetration of basic mathematical thinking methods in daily training and gradually improve students' thinking ability.
夯实解题基本功。高考复习的一个基本点是夯实解题基本功,而对这个问题的一个片面做法是,只抓解题的知识因素,其实,解题的效益取决于多种因素,其中最基本的有:解题的知识因素、能力因素、经验因素、非智力因素。学生在答卷中除了知识性错误之外,还有逻辑性错误和策略性错误和心理性错误。
Consolidate the basic skills of problem solving. A basic point of college entrance examination review is to consolidate the basic skills of problem-solving, and a one-sided approach to this problem is to only focus on the knowledge factors of problem-solving. In fact, the benefit of problem-solving depends on a variety of factors, among which the most basic are: knowledge factors, ability factors, experience factors and non intelligence factors of problem-solving. In addition to knowledge errors, students also have logical errors, strategic errors and psychological errors.
数学高考历来重视运算能力,运算要熟练、准确,运算要简捷、迅速,运算要与推理相结合,要合理,并且在复习中要有意识地养成书写规范,表达准确的良好习惯。
Mathematics college entrance examination has always attached importance to the ability of operation. The operation should be skilled and accurate, simple and rapid, and the operation should be combined with reasoning. It should be reasonable. In the review, we should consciously develop the good habit of writing standard and accurate expression.
全面复习,系统整理知识,查漏补缺,优化知识结构
Comprehensively review, systematically sort out knowledge, check omissions and fill vacancies, and optimize knowledge structure
这是第一阶段复习中应该重点解决的问题。考生在这一过程应牢牢抓住以下几点:①概念的准确理解和实质性理解;②基本技能、基本方法的熟练和初步应用;③公式、定理的正逆推导运用,抓好相互的联系、变形和巧用。
This is the key problem that should be solved in the first stage of review. Candidates should firmly grasp the following points in this process: ① accurate and substantive understanding of concepts; ② Proficiency and preliminary application of basic skills and methods; ③ The forward and inverse derivation and application of formulas and theorems should pay attention to the mutual connection, deformation and clever use.
经过全面复习这一阶段的努力,应使达到以下要求:①按大纲要求理解或掌握概念;②能理解或独立完成课本中的定理证明;③能熟练解答课本上的例题、习题;④能简要说出各单元题目类型及主要解法;⑤形成系统知识的合理结构和解题步骤的规范化。
Through the efforts of this stage of comprehensive review, we should meet the following requirements: ① understand or master the concept according to the outline requirements; ② Be able to understand or independently complete the theorem proof in the textbook; ③ Be able to skillfully solve the examples and exercises in textbooks; ④ Be able to briefly state the type and main solution of each unit problem; ⑤ Form a reasonable structure of systematic knowledge and standardize problem-solving steps.
这一阶段的直接效益是会考得优,其根本目的是为数学素质的提高准备物质基础。认真做好全面复习,才谈得上灵活性和综合性,才能适应高考踩分点多、覆盖面广的特点。
The direct benefit of this stage is to do well in the HKCEE, and its fundamental purpose is to prepare the material basis for the improvement of mathematical quality. Only by doing a good job of comprehensive review can we talk about flexibility and comprehensiveness, and adapt to the characteristics of more points and wide coverage of the college entrance examination.
这一阶段复习的基本方法是从大到小、先粗后细,把教学中分割讲授的知识单点、知识片断组织合成知识链、知识体系、知识结构,使之各科内容综合化;基础知识体系化;基本方法类型化;解题步骤规范化。这当中,辅以图线、表格、口诀等已被证明是有益的,“习题化”的复习技术亦被证明是成功的,如,基本内容填空,基本概念判断,基本公式串联,基本运算选择。
The basic method of review at this stage is from large to small, from coarse to fine. The knowledge points and knowledge fragments divided and taught in teaching are organized into knowledge chain, knowledge system and knowledge structure, so as to integrate the contents of various subjects; Systematization of basic knowledge; Basic method typing; Standardize problem solving steps. Among them, supplemented by lines, tables, formulas, etc., have been proved to be beneficial, and the "exercise based" review technology has also been proved to be successful, such as filling in the blanks of basic contents, judgment of basic concepts, series connection of basic formulas, and selection of basic operations.
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