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数形结合的数学思想:包含“以形助数”和“以数辅形”两个方面,其应用大致可以分为两种情形:一是借助形的生动性和直观性来阐明数之间的联系,即以形作为手段,数作为目的,比如应用函数的图象来直观地说明函数的性质;二是借助于数的精确性和规范严密性来阐明形的某些属性,即以数作为手段,形作为目的,如应用曲线的方程来精确地阐明曲线的几何性质.本文通过几种题型来体现数形结合思想的应用.题型1:解决最值问题例1已知两条直
There are two kinds of situations: the first is the vividness and intuition of the shape To clarify the relationship between the number, that is, to form as a means, the number as an objective, such as the application of the function of the image to intuitively illustrate the nature of the function; the second is by means of the accuracy of the number and specification tightness to clarify some of the attributes of the shape , That is to use the number as a means of shape as an objective, such as the application of the curve equation to accurately illustrate the geometric nature of the curve.This paper through several questions to reflect the application of the idea of number and shape combination. Known two straight