临界位置是影响事物从量变到质变的关键因素.因此我们在解数学题时,若能抓住临界位置的特殊性,就能从中捕捉到解题的特征信息,从而将问题由抽象化为具体,由复杂变为简单,最后将问题的解答聚焦于对临界位置的研究.下面介绍我在这方面作的一些尝试.【例1】在直角坐标平面内过定点 The critical position is the key factor affecting things from quantitative change to qualitative change. Therefore, if we can grasp the particularity of the critical position when we solve the mathematics problem, we can capture the feature information of the solution from the problem, and the problem will be abstracted into concrete , From complexity to simplicity, and finally focus the problem solution on the study of the critical position. Here are some of my attempts in this area. [Example 1] Fixed point in the Cartesian coordinate plane