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函数是初等数学的重要内容之一,学好初三代数《函数及图象》这一章,不但为高中阶段学习函数打好基础,而目对培养同学们树立数学思想,运用数学方法,发展数学能力,优化思维品质作用是很大的。 本文根据近年来中考中有关二次函数的试题,结合教学实际,仅就二次函数的学习要点提些看法。1 二次函数的定义 形如y=ax~2+bx+c(a≠0)的函数称为二次函数,二次项系数不为零是二次函数完整定义中不可缺少的内容。 例1.已知y=(a+1)x~(a~2-a)是二次函数,求a的值。
Function is one of the important contents of elementary mathematics. Learning the function and image of the first three generations of algebra not only lays a good foundation for the learning function in senior high school, but also aims to develop students’ mathematics ideas, use mathematical methods, and develop mathematics. The ability to optimize the quality of thinking is great. Based on the questions about quadratic function in the middle school entrance examination in recent years, combined with the actual teaching, this article only gives some views on the key points of the quadratic function. 1 Definition of Quadratic Functions A function of the form y=ax~2+bx+c(a≠0) is called a quadratic function. The quadratic coefficient is not zero and it is an indispensable part of the full definition of a quadratic function. Example 1. It is known that y=(a+1)x~(a~2-a) is a quadratic function and finds the value of a.