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濟南市歷城區萬智教育培訓學校專注山東春季高考培訓!
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高考文科數學復習方法
來源:http://www.67kyh1.com/ 發布時間:2022-02-15
1.強化“三基”,夯實基礎
1. Strengthen the "three foundations" and consolidate the foundation
所謂“三基”就是指基礎知識、基本技能和基本的數學思想方法,從近幾年的高考數學試題可見“出活題、考基礎、考能力”仍是命題的主導思想。因而在復習時應注意加強“三基”題型的訓練,不要急于求成,好高騖遠,抓了高深的,丟了基本的。
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.
考生要深化對“三基”的理解、掌握和運用,高考試題改革的重點是:從“知識立意”向“能力立意”轉變,考試大綱提出的數學學科能力要求是:能力是指思維能力、運算能力、空間想象能力以及實踐能力和創新意識。
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.
新課標提出的數學學科的能力為:數學地提出問題、分析問題和解決問題的能力,數學探究能力,數學建模能力,數學交流能力,數學實踐能力,數學思維能力。
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.
考生復習基礎知識要抓住本學科內各部分內容之間的聯系與綜合進行重新組合,對所學知識的認識形成一個較為完整的結構,達到“牽一發而動全身”的境界。
濟南春季高考
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".
強化基本技能的訓練要克服“眼高手低”現象,主要在速算、語言表達、解題、反思矯正等方面下功夫,盡量不丟或少丟一些不應該丟失的分數。要注重基本數學思想方法在日常訓練中的滲透,逐步提高學生的思維能力。
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.
夯實解題基本功。高考復習的一個基本點是夯實解題基本功,而對這個問題的一個片面做法是,只抓解題的知識因素,其實,解題的效益取決于多種因素,其中最基本的有:解題的知識因素、能力因素、經驗因素、非智力因素。學生在答卷中除了知識性錯誤之外,還有邏輯性錯誤和策略性錯誤和心理性錯誤。
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.
數學高考歷來重視運算能力,運算要熟練、準確,運算要簡捷、迅速,運算要與推理相結合,要合理,并且在復習中要有意識地養成書寫規范,表達準確的良好習慣。
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.
全面復習,系統整理知識,查漏補缺,優化知識結構
Comprehensively review, systematically sort out knowledge, check omissions and fill vacancies, and optimize knowledge structure
這是第一階段復習中應該重點解決的問題。考生在這一過程應牢牢抓住以下幾點:①概念的準確理解和實質性理解;②基本技能、基本方法的熟練和初步應用;③公式、定理的正逆推導運用,抓好相互的聯系、變形和巧用。
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.
經過全面復習這一階段的努力,應使達到以下要求:①按大綱要求理解或掌握概念;②能理解或獨立完成課本中的定理證明;③能熟練解答課本上的例題、習題;④能簡要說出各單元題目類型及主要解法;⑤形成系統知識的合理結構和解題步驟的規范化。
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.
這一階段的直接效益是會考得優,其根本目的是為數學素質的提高準備物質基礎。認真做好全面復習,才談得上靈活性和綜合性,才能適應高考踩分點多、覆蓋面廣的特點。
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.
這一階段復習的基本方法是從大到小、先粗后細,把教學中分割講授的知識單點、知識片斷組織合成知識鏈、知識體系、知識結構,使之各科內容綜合化;基礎知識體系化;基本方法類型化;解題步驟規范化。這當中,輔以圖線、表格、口訣等已被證明是有益的,“習題化”的復習技術亦被證明是成功的,如,基本內容填空,基本概念判斷,基本公式串聯,基本運算選擇。
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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