在新课标形势下高中数学教学的解题方法初探

摘要：在新课改形势下，高中数学教学中如何进行有效解题显得尤为重要，高中数学对学生的知识掌握和思维能力都有了更高的要求，要想更好的学好数学，除了学会做题之外，更重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氖钦莆帐枷敕椒ǎ痈旧先鲜陡咧惺В诟咧薪锥沃匾乃枷敕椒ㄓ校憾ㄒ褰馓夥ǎ敕匠痰乃枷搿⑼枷裼胧康墓叵怠⒎掷嗵致鬯枷搿⒒楹妥枷搿＠啾人枷朐诟咧惺Ы萄е芯哂兄匾淖饔茫约忧扛拍公式和定理以及解题方法等方面的教学有着很大地帮助。本文先是阐述了类比思想的含义，接着讲述了运用奏比思想的注意事项，最后，提出了新课标下高中数学教学中类比思想的运用策略。

关键词：新课标；高中数学；教学；类比思想

一 用数学定义解题

所谓定义法.就是直接用高中数学定义解题。高中数学中的定理、公式、性质和法则等。都是由定义和公理推演出来。定义是揭示概念内涵的逻辑方法。它通过指出概念所反映的事物的本质属性来明确概念。定义科学地反映和揭示了客观世界的事物的本质特点。简单地说，定义是基本概念对数学实体的高度抽象。用定义法解题，是最直接的方法。本讲让我们回到定义中去。例如关于函数的性质：奇偶性、单调性、周期性的判断.一般都是直接应用定义解题。

二 用函数与方程思想解题

函数思想指的是将某一个数学问题用函数表示出来，然后利用函数的概念和性质去分析数学问题，进而解决数学问题的一种思想方法.方程的思想指的是从数学问题的数量关系人手，将数学问题转化成方程（组）来进行解答的一种思想方法.在数学解题的过程中，有时还将函数与方程相互结合、相互转换以此来达到解题的目的。

三 用数形结合的方法解题

著名数学家华罗庚先生曾经这样说到：“数缺形时少直觉，形少数时难人微.”数形结合是高中数学中一种极为重要的数学思想.数形结合思想的运用，能够使得数学解题更加直观.在高中数学解题的过程中，我们经常运用图形的直观性与生动性来寻找解题的思路，从而使得数学问题化难为易、化繁为简，最终得到解决。

四 用函数与方程的联系解题

函数思想是对函数内容在更高层次上的抽象。概括与提炼。在研究方程、不等式、数列、解析几何等其他内容时。起着重要作用。方程思想是解决各类计算机问题的基本思想，是运算能力的基础。高考把函数与方程思想作为重要思想方法重点考查。高考中所占比重较大，综合知识多、题型多、应用技巧多。运用函数与方程的思想时，要注意函数，方程与不等式之间的相互联系和转化，应做到（1）深刻理解函数f（x）的性质（单调性、奇偶性、周期性、最值和图像变换），熟练掌握基本初等函数的性质，这是应用函数思想解题的基础；（2）密切注意三个“二次”的相关问题，三个“二次”即一元二次函数，一元二次方程、一元二次不等式是中学数学的重要内容，具有丰富的内涵和密切的联系，掌握二次函数基本性质，二次方程实根分布条件.二次不等式的转化策略。.函数与方程是两个有着密切联系的数学概念。它们之间相互渗透。很多方程的问题需要用函数的知识和方法解决，很多函数的问题也需要用方程的方法的支援。函数与方程之间的辩证关系。形成了函数方程思想。

五 分类讨论的方法解决数学问题

分类讨论思想就是根据研究对象的性质差异.分各种不同情况予以分析解决，分类讨论题覆盖知识点较多。利于考查学生的知识面、分类思想和技巧；同时方式多样。具有较高的逻辑性及很强的综合性，树立分类讨论思想。应注意理解和掌握分类的原则、方法与技巧、做到“确定对象的全体.明确分类的标准.分层别类不重复、不遗漏的分析讨论”常见的分类情形有：按数分类；按字母的取值范围分类；按事件的可能情况分类；按图形的位置特征分类等。分类讨论思想方法可以渗透到高中数学的各个章节，它依据一定的标准，对问题分类、求解，要特别注意分类必须满足互斥、无漏、最简的原则。

六 类比解题方法

高中数学知识之间的联系是非常强的，这就使得一些数学题在解题方法上也

有许多相似的地方。因此，高中数学教师在讲解具体数学题的解题方法时，可以将题目类似的解题方法放在一起进行类比，使学生将各种解题方法联系起来学习，这样，就可以拓宽学生的解题思路，培养学生的多向思维能力。

结语：

人们学习过程就是用掌握的知识去理解、解决未知知识。数学学习过程都是用旧知识引出和解决新问题.当新的知识掌握后再利用它去解决更新知识。初中知识是基础.如果能把新知识用旧知识解答，你就有了化归转化思想了。可见。学习就是不断地化归转化。不断地继承和发展更新旧知识。

课堂学习是数学学习的主战场。课堂中教师通过讲解、分解教材中的数学思想和进行数学技能地训练，使高中学生学习所得到丰富的数学知识，教师组织的科研活动，使教材中的数学概念、定理、原理得到最大程度的理解、挖掘。望同学们把握好课堂这个学习的主战场。

学高中数学的几个建议：记数学笔记，特别是对概念理解的不同侧面和数学规律，教师为备战高考而加的课外知识。记忆数学规律和数学小结论。与同学建立好关系。争做“小老师”。形成数学学习“互助组”。学会总结归类。

数学课堂学习是我们掌握数学知识、了解数学思想的主要阵地.我们需要在数学课堂教学中，打好扎实的数学基础，在解题训练中，掌握数学解题的方法与数学思想，从而不断提高自己分析问题、解决问题的能力。

参考文献：

[1] 接元海.高中数学解题方法和思想探究[J]一神州（中旬刊）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" /> // monitor