直线和圆锥曲线主要有相交、相离、相切三种位置关系,由于抛物线、椭圆、双曲线这三种抛物线与直线的位置关系都有其不同的特殊性,而学生在解题过程中有时会欠缺对不同情况下圆锥曲线与直线关系问题的全面考量,所以往往会走进一些思维的误区,而比较典型的思维误区主要有以下三种。一、审题不够细致,忽略了题中给出的隐含条件 There are three main relationship between the straight line and the conical curve, such as intersection, phase separation and tangency. Because the parabola, ellipse and hyperbola have different particularities in terms of the positional relationship between the three parabolas and the straight line, the students sometimes have problems in solving the problem Will be lack of comprehensive consideration of the relationship between the conic curve and the straight line under different circumstances, so often will go into some misunderstandings of thinking, and the typical thinking errors are mainly the following three. First, the trial is not meticulous enough, ignoring the implicit conditions given in the title