Question

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论文摘要：
数学知识是数学内容，可以用文字和符号来记录和描述，随着时间的推移，记忆力的减退，将来可能忘记。而数学思想方法则是一种数学意识，只能够领会和运用，属于思维的范畴，用以对数学问题的认识、处理和解决，掌握数学解题方法，不是受用一阵子，而是受用一辈子，即使数学知识忘记了，数学方法和思想也还是对你起作用。
数学基本方法是数学思想的体现，是数学的行为，具有模式化与可操作性的特征，可以选用作为解题的具体手段。数学思想是数学的灵魂，它与数学基本方法常常在学习、掌握数学知识的同时获得。可以说，“知识”是基础，“方法”是手段，“思想”是深化，提高数学素质的核心就是提高学生对数学方法和数学思想的认识和运用，数学素质的综合体现就是“能力”。
为了帮助学生掌握解题的金钥匙，掌握解题的思想方法，本文浅陋介绍高考中常用的数学基本解题方法：配方法、换元法、待定系数法、数学归纳法、参数法、消去法、反证法、分析与综合法、特殊与一般法、类比与归纳法、观察与实验法。
在每节的内容中，先是对方法或者问题进行综合性的叙述，再以两种典例的形式出现。示范性典例进行详细的解答和分析，对方法和问题进行示范，再现性典例是一组简单的选择填空题进行方法的再现旨在检查学习的效果，起到巩固的作用。每个典例中习题的选取，又尽量综合到代数、三角、几何几个部分重要章节的数学知识。

关键词：高考，解题方法，数学解题，技巧，数学思想，配方法，换元法，待定系数法，数学归纳法，参数法，消去法，反证法

目 录
1、配方法 4
2、换元法 6
3、待定系数法 11
4、定义法 14
5、数学归纳法 15
6、参数法 19
7、反证法 21
参考文献： 27
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Answer 1

Abstract:
Mathematics knowledge is mathematical content, can use words and symbols to record and description, with the passage of time, memory loss, the future could forget. But mathematical thought method is a kind of mathematics consciousness, can only understand and apply, belongs to the category of thinking, to know, a mathematical problem and resolve, master mathematics problem-solving method, not benefit, but useful for life, even mathematics knowledge forgot, mathematical methods and ideas still work for you.
Mathematics basic method is mathematical thought to reflect, is mathematics behavior, have stereotyped and operability feature, can choose the specific means solving problems as. Mathematical thought is the soul of mathematics, it and mathematics basic method often in learning mathematics knowledge while available. Can say, "knowledge" is a foundation, "method" was the means, "thought" is deepening, improve math quality of the core is mathematical methods and to improve students' mathematical thinking on the understanding and using the integrated embodiment, mathematics quality is "ability".
In order to help students to master, master key to solving the thought problem solving method, this paper introduced the university entrance exam in common use in the steamer mathematical basic problem solving method: match method, change yuan method, undetermined coefficient method, mathematical induction, parameter method, process of elimination, counter-evidence method, analysis and synthesis, special and general method, analog and induction, observation and experimentation.
In each section of the content, the first method or problems, again with comprehensive description of two typical example of the form. Demonstration allusion exemple of solutions and detailed analysis, the method and problems in demonstrations, reproducibility typical example is a group of simple choice fills up the topic for method to check the emersion of learning effect, rise to consolidate the role. Each allusion exemple, and the selection of exercises to comprehensive to algebra, triangle, geometric several parts important chapter mathematics knowledge.

Keywords: the university entrance exam, problem solving method, the mathematics problem-solving, skill, mathematical thought, match method, change element method, undetermined coefficient method, mathematical induction, parameters method, process of elimination, apagoge

Mesh record
1, match method 4
2, change element method 6
November 3, undetermined coefficient method
4, definition method 14
5, mathematical induction 15
6, parametric 19
7, apagoge is 21
References: 27

Answer 2

Abstract:

Mathematics knowledge is mathematical content, can use words and symbols to record and description, with the passage of time, memory loss, the future could forget. But mathematical thought method is a kind of mathematics consciousness, can only understand and apply, belongs to the category of thinking, to know, a mathematical problem and resolve, master mathematics problem-solving method, not benefit, but useful for life, even mathematics knowledge forgot, mathematical methods and ideas still work for you.

Mathematics basic method is mathematical thought to reflect, is mathematics behavior, have stereotyped and operability feature, can choose the specific means solving problems as. Mathematical thought is the soul of mathematics, it and mathematics basic method often in learning mathematics knowledge while available. Can say, "knowledge" is a foundation, "method" was the means, "thought" is deepening, improve math quality of the core is mathematical methods and to improve students' mathematical thinking on the understanding and using the integrated embodiment, mathematics quality is "ability".

In order to help students to master, master key to solving the thought problem solving method, this paper introduced the university entrance exam in common use in the steamer mathematical basic problem solving method: match method, change yuan method, undetermined coefficient method, mathematical induction, parameter method, process of elimination, counter-evidence method, analysis and synthesis, special and general method, analog and induction, observation and experimentation.

In each section of the content, the first method or problems, again with comprehensive description of two typical example of the form. Demonstration allusion exemple of solutions and detailed analysis, the method and problems in demonstrations, reproducibility typical example is a group of simple choice fills up the topic for method to check the emersion of learning effect, rise to consolidate the role. Each allusion exemple, and the selection of exercises to comprehensive to algebra, triangle, geometric several parts important chapter mathematics knowledge.

Keywords: the university entrance exam, problem solving method, the mathematics problem-solving, skill, mathematical thought, match method, change element method, undetermined coefficient method, mathematical induction, parameters method, process of elimination, apagoge

Mesh record

1, match method 4

2, change element method 6

November 3, undetermined coefficient method

4, definition method 14

5, mathematical induction 15

6, parametric 19

7, apagoge is 21

References: 27
thank you very much

Answer 3

Abstract:

Mathematics knowledge is mathematical content, can use words and symbols to record and description, with the passage of time, memory loss, the future could forget. But mathematical thought method is a kind of mathematics consciousness, can only understand and apply, belongs to the category of thinking, to know, a mathematical problem and resolve, master mathematics problem-solving method, not benefit, but useful for life, even mathematics knowledge forgot, mathematical methods and ideas still work for you.

Mathematics basic method is mathematical thought to reflect, is mathematics behavior, have stereotyped and operability feature, can choose the specific means solving problems as. Mathematical thought is the soul of mathematics, it and mathematics basic method often in learning mathematics knowledge while available. Can say, "knowledge" is a foundation, "method" was the means, "thought" is deepening, improve math quality of the core is mathematical methods and to improve students' mathematical thinking on the understanding and using the integrated embodiment, mathematics quality is "ability".

In order to help students to master, master key to solving the thought problem solving method, this paper introduced the university entrance exam in common use in the steamer mathematical basic problem solving method: match method, change yuan method, undetermined coefficient method, mathematical induction, parameter method, process of elimination, counter-evidence method, analysis and synthesis, special and general method, analog and induction, observation and experimentation.

In each section of the content, the first method or problems, again with comprehensive description of two typical example of the form. Demonstration allusion exemple of solutions and detailed analysis, the method and problems in demonstrations, reproducibility typical example is a group of simple choice fills up the topic for method to check the emersion of learning effect, rise to consolidate the role. Each allusion exemple, and the selection of exercises to comprehensive to algebra, triangle, geometric several parts important chapter mathematics knowledge.

Keywords: the university entrance exam, problem solving method, the mathematics problem-solving, skill, mathematical thought, match method, change element method, undetermined coefficient method, mathematical induction, parameters method, process of elimination, apagoge

Mesh record

1, match method 4

2, change element method 6

November 3, undetermined coefficient method

4, definition method 14

5, mathematical induction 15

6, parametric 19

7, apagoge is 21

References: 27

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Answer 4

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