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一元二次方程和二次函数有着密切的联系,根据一元二次方程实数根分布的区间范围情况,利用对应的二次函数,并借助相应的图像辅助,可以确定一元二次方程中参数的取值范围或满足条件的某些参数的值.由于抛物线y=ax~2+bx+c(a≠0)上y值为零点的点的横坐标对应着一元二次方程ax2+bx+c=0的实数根情况,因此常利用二次函数来研究对应的一元二次方程的实根的情况(无实根的情况不在本文中包括).
The quadratic equation and the quadratic function are closely related. According to the interval range of the real root of the quadratic equation of the quadratic equation, the corresponding quadratic function can be used to determine the parameters in the quadratic equation with the help of the corresponding image aids Value range, or some parameter that satisfies the condition. Since the abscissa of the point where the y value is zero on the parabola y = ax ~ 2 + bx + c (a ≠ 0) corresponds to the quadratic equation ax2 + bx + c = 0 real situation, it is often used quadratic function to study the real quadratic equation corresponding to the real situation (no real root is not included in this article).