论文部分内容阅读
数与形是数学中两个最基本的问题,它们在一定的条件下可以互相转化.数形结合是数学中非常重要的思想方法,华罗庚先生曾指出:“数缺形时少直觉,形少数时难入微.”数形结合就是对题目中的条件和结论既分析其代数意义,又分析其几何含义,对于选择题、填空题,数形结合可起到直接解题的作用,在解答题中,则可以起到辅助解题的作用,从而达到事半功倍的效果.纵观多年的高考试题,利用函数图象处理问题的关键在于转化与构造.一般的,可以把问题转化为一次函数、二次函数、圆锥曲线或三角函数的图象性质问题加以解决.方程的解可以转化为曲线的交点问题,从而把代数与几何有机地结合起来,使问题得到简化.
Number and form are the two most basic problems in mathematics, and they can be transformed into each other under certain conditions. The combination of number and form is a very important method in mathematics. Mr. Hua Luogeng once pointed out: “ When a few are difficult to micro. ”Combination is the number of conditions and conclusions of the subject both the analysis of its algebraic significance and analysis of its geometric meaning, for multiple-choice questions, fill in the blank, the number of forms can play a direct role in solving problems in Answer questions, you can play an auxiliary role in solving problems, so as to achieve a multiplier effect.According to many years of college entrance examination questions, the use of function image processing problems lies in the transformation and construction.Generally, the problem can be converted into a function , Quadratic function, conic curve or trigonometric function.The solution of the equation can be transformed into the intersection point of the curve, so that the algebra and the geometry can be organically combined and the problem can be simplified.