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圆锥曲线是中学数学教学的重点内容之一,也是历届高考命题的热点,求解圆锥曲线问题时,学生应注意避免以下常见错误.一、忽视隐含条件例1若点P与定点F(0,2)的距离和它到直线y=7的距离比是2∶3,求动点P与定点P1(8,-2)距离的最大值.错解:设动点P(x,y)到直线y=7的距离为d,则|PF|d=2
Conical curve is one of the key contents of middle school mathematics teaching, and it is also the hot spot of previous college entrance examination propositions. When solving conic curve problem, students should pay attention to avoid the following common mistakes. First, ignore implied conditions. Example 1 If point P and fixed point F (0, The distance between 2) and its distance from the straight line y=7 is 2:3, and the maximum distance between the seeking point P and the fixed point P1(8,-2). The wrong solution: The setpoint P(x,y) is The distance y=7 is d, then |PF|d=2