“代换思想”在中学数学中的应用
1 根据平方关系确定三角代换    7
4 根据三角函数的定义确定三角代换    8
1 一元代换    10
三角函数公式大全初中数学（九）  逆向代换    14
1 逆向代换在证明中的应用    14
2 逆向代换在求值中的应用    15
参考文献    18
“代换思想”在中学数学中的应用
摘 要：代换有着替代，更换的意思。在三国时代曹冲称象就用到了代换的思想。代换法也称“等量代换”，是常用的一种数学思考方法。通过适当的变化， 用一种量替换另一种量，使数
量关系简单化、明朗化，从而寻求到解题途径。这种方法没有固定的模式可循，往往需要视问题的具体情况而选择适当代换，应用十分灵活。在中学数学中有着整体代换，部分代换整体，三角代换，和差代换，均值代换，等积代换，常值代换，换元代换，倒数代换，逆向代换等几种代换思想。这几种“代换思想”在初等数学中的应用十分广泛，在代数和几何中都有相应的应用。到目前为止，“代换思想”在数学中没有很好的的被慨括起来，本文就针对“代换思想”在初等数学中的应用作简要的介绍。
关键词：代换;初等数学;数学代换;数学应用
"Substitution thinking" in elementary mathematics applications       
Abstract：Substitution with an alternative, replacement of the meaning. Three Kingdoms era Cao Chong said the elephant used to the idea of substitution. Substitution method is also known as "equivalent substitution" is commonly used in a mathematical way of thinking. Through appropriate changes, replaced with a measure of another amount, the number of relations simplified, clarified, and thus seek to problem-solving way. This method is no fixed pattern to follow, and often require the specific circumstances of the problem an
d select the appropriate substitution, the application is very flexible overall substitution in secondary school mathematics, some substitution as a whole, trigonometric substitution, and differential substitution mean substitution, product substitution, constant substitution, for the change in the Yuan Dynasty, the reciprocal of substitution, the reverse substitution of several substitution thinking these types of substitution ideology is widely used in elementary mathematics, algebra has a corresponding application and geometry. So far, the "substitution ideas' in mathematics, good's been generous enclosed in this paper for the substitution of thought" in the Elementary Mathematics brief introduction.

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