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一元二次型问题包括一元二次式(ax2+bx+c)、一元二次方程(ax2+bx+c=0)、二次函数(y=ax2+bx+c)、一元二次不等式(ax2+bx+c>0或ax2+bx+c<0)这四类,这四类问题都有一个共同点:都含有一个相同的代数式:ax2+bx+c,但反映的又是不同类型的问题,对这类形似而非的问题总是能引起学生广泛的兴趣,并激发好奇心——它们之间究竟有什么联系?本文将通过多个例证与广大师生及数学爱好者来探讨这个问题,并努力揭示这种内在的深层次的联系,以供大家参考.
The quadratic quadratic problems include the quadratic equation (ax2+bx+c), the unary quadratic equation (ax2+bx+c=0), the quadratic function (y=ax2+bx+c), and the unary quadratic inequalities ( The four types of ax2+bx+c>0 or ax2+bx+c<0) have one thing in common: they all contain the same algebraic formula: ax2+bx+c but reflect different types. The question of this kind of shapelessness can always arouse a wide range of students’ interest and stimulate curiosity—what is the relationship between them? This article will explore various examples and teachers, students and math enthusiasts. This issue, and efforts to reveal this inner deep-level link for your reference.