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提高自己的解题能力,通过适当的解题训练是必须的,但并不是说解题训练的越多效果就越好,而是应该在解题训练的过程中深入思考、总结提高,在完成一道题的训练后,能够触类旁通,想到一类题的解题方法,这才是数学解题的低起点(不同的解题方法)与高立意(解题后的反思).下面从一道高考题的不同解题方法中体会数学解题的低起点与高立意.题目(2013年天津高考)已知过点P(2,2)的直线与圆(x-1)2+y2=5相切,且与
Improve their ability to solve problems, through appropriate training problem-solving is necessary, but not to say that the more the effect of training problem-solving the better, but should be in the process of problem-solving training in-depth thinking, summed up in the completion of A problem training, to touch the class bypass, think of a class of problem solving methods, this is a low starting point for mathematical problem solving (different problem solving methods) and high conception (problem solving reflection). (Tianjin University Entrance Examination in 2013) is known to have a point P (2,2) of the line and the circle (x-1) 2 + y2 = 5 tangent , And with