1. Strengthen the "three foundations" and consolidate the foundation

所謂“三基”就是指基礎(chǔ)知識(shí)、基本技能和基本的數(shù)學(xué)思想方法，從近幾年的高考數(shù)學(xué)試題可見“出活題、考基礎(chǔ)、考能力”仍是命題的主導(dǎo)思想。因而在復(fù)習(xí)時(shí)應(yīng)注意加強(qiáng)“三基”題型的訓(xùn)練，不要急于求成，好高騖遠(yuǎn)，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(duì)“三基”的理解、掌握和運(yùn)用，高考試題改革的重點(diǎn)是：從“知識(shí)立意”向“能力立意”轉(zhuǎn)變，考試大綱提出的數(shù)學(xué)學(xué)科能力要求是：能力是指思維能力、運(yùn)算能力、空間想象能力以及實(shí)踐能力和創(chuàng)新意識(shí)。

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(biāo)提出的數(shù)學(xué)學(xué)科的能力為：數(shù)學(xué)地提出問題、分析問題和解決問題的能力，數(shù)學(xué)探究能力，數(shù)學(xué)建模能力，數(shù)學(xué)交流能力，數(shù)學(xué)實(shí)踐能力，數(shù)學(xué)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(fù)習(xí)基礎(chǔ)知識(shí)要抓住本學(xué)科內(nèi)各部分內(nèi)容之間的聯(lián)系與綜合進(jìn)行重新組合，對(duì)所學(xué)知識(shí)的認(rèn)識(shí)形成一個(gè)較為完整的結(jié)構(gòu)，達(dá)到“牽一發(fā)而動(dòng)全身”的境界。

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(qiáng)化基本技能的訓(xùn)練要克服“眼高手低”現(xiàn)象，主要在速算、語(yǔ)言表達(dá)、解題、反思矯正等方面下功夫，盡量不丟或少丟一些不應(yīng)該丟失的分?jǐn)?shù)。要注重基本數(shù)學(xué)思想方法在日常訓(xùn)練中的滲透，逐步提高學(xué)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(shí)解題基本功。高考復(fù)習(xí)的一個(gè)基本點(diǎn)是夯實(shí)解題基本功，而對(duì)這個(gè)問題的一個(gè)片面做法是，只抓解題的知識(shí)因素，其實(shí)，解題的效益取決于多種因素，其中最基本的有：解題的知識(shí)因素、能力因素、經(jīng)驗(yàn)因素、非智力因素。學(xué)生在答卷中除了知識(shí)性錯(cuò)誤之外，還有邏輯性錯(cuò)誤和策略性錯(cuò)誤和心理性錯(cuò)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(shù)學(xué)高考?xì)v來(lái)重視運(yùn)算能力，運(yùn)算要熟練、準(zhǔn)確，運(yùn)算要簡(jiǎn)捷、迅速，運(yùn)算要與推理相結(jié)合，要合理，并且在復(fù)習(xí)中要有意識(shí)地養(yǎng)成書寫規(guī)范，表達(dá)準(zhǔn)確的良好習(xí)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(fù)習(xí)，系統(tǒng)整理知識(shí)，查漏補(bǔ)缺，優(yōu)化知識(shí)結(jié)構(gòu)

Comprehensively review, systematically sort out knowledge, check omissions and fill vacancies, and optimize knowledge structure

這是第一階段復(fù)習(xí)中應(yīng)該重點(diǎn)解決的問題?？忌谶@一過(guò)程應(yīng)牢牢抓住以下幾點(diǎn)：①概念的準(zhǔn)確理解和實(shí)質(zhì)性理解;②基本技能、基本方法的熟練和初步應(yīng)用;③公式、定理的正逆推導(dǎo)運(yùn)用，抓好相互的聯(lián)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(jīng)過(guò)全面復(fù)習(xí)這一階段的努力，應(yīng)使達(dá)到以下要求：①按大綱要求理解或掌握概念;②能理解或獨(dú)立完成課本中的定理證明;③能熟練解答課本上的例題、習(xí)題;④能簡(jiǎn)要說(shuō)出各單元題目類型及主要解法;⑤形成系統(tǒng)知識(shí)的合理結(jié)構(gòu)和解題步驟的規(guī)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(huì)考得優(yōu)，其根本目的是為數(shù)學(xué)素質(zhì)的提高準(zhǔn)備物質(zhì)基礎(chǔ)。認(rèn)真做好全面復(fù)習(xí)，才談得上靈活性和綜合性，才能適應(yīng)高考踩分點(diǎn)多、覆蓋面廣的特點(diǎn)。

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(fù)習(xí)的基本方法是從大到小、先粗后細(xì)，把教學(xué)中分割講授的知識(shí)單點(diǎn)、知識(shí)片斷組織合成知識(shí)鏈、知識(shí)體系、知識(shí)結(jié)構(gòu)，使之各科內(nèi)容綜合化;基礎(chǔ)知識(shí)體系化;基本方法類型化;解題步驟規(guī)范化。這當(dāng)中，輔以圖線、表格、口訣等已被證明是有益的，“習(xí)題化”的復(fù)習(xí)技術(shù)亦被證明是成功的，如，基本內(nèi)容填空，基本概念判斷，基本公式串聯(lián)，基本運(yùn)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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