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判别式△=b2-4ac的代数意义是判别一元二次方程ax2+bx+c=0有无实根.随着对二次函数y=ax2+bx+c的图象和性质研究,判别式的几何意义表现为判断抛物线与x轴有无交点.判别式法作为一种重要的数学方法,在解题过程中若能正确巧妙的运用,就能给人们一种简单明快、耳目一新的感觉.但是,若不能把握好使用判别式法解题的条件和本质特征,就会造成错误解法或优美解法在你眼皮底下悄悄溜走.因此,对如何使用判别式法解题的有关问题必须引起我们高度警惕和特别注意.
The algebraic significance of the discriminant △=b2-4ac is to determine whether there is a real root in the quadratic equation ax2+bx+c=0. With the study of the image and properties of the quadratic function y=ax2+bx+c, the discriminant The geometric meaning of the expression is to judge whether the parabola intersects with the x-axis. The discriminant method is an important mathematical method. If it can be correctly and cleverly used in the problem solving process, it can give people a feeling of simple and clear and refreshing. However, if you cannot grasp the conditions and essential characteristics of using the discriminant method to solve the problem, you will cause false solutions or graceful solutions to slip away under your eyes. Therefore, questions about how to use the discriminative method to solve problems must be caused by us. High vigilance and special attention.