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有一类几何问题往往需要构造辅助圆来解决.本文介绍构造圆(弧)的两类途径,使问题通过构造圆(弧)后转化为利用圆的有关性质进行解答,达到顺利获解的目的.一、根据圆的定义构造圆根据“到定点的距离等于定长的点都在同一个圆上”构造圆.例1(2014年盐城中考题)如图1,在平面直角坐标系中,一块等腰直角三角板ABC的直角顶点A在y轴上,坐标为(0,-1),另一
There are two kinds of geometric problems that need to be solved by constructing auxiliary circle.In this paper, we introduce two ways to construct circle (arc), and then solve the problem by constructing circle (arc) and using the related nature of circle to solve the problem. First, according to the definition of the circle structure circle According to the “distance from the fixed point is equal to the fixed point on the same circle ” structure circle .Example 1 (2014 Yancheng Entrance Examination) as shown in Figure 1, Cartesian coordinate system , A right-angled vertex A of the isosceles right-angled triangle ABC is (0, -1) on the y-axis and the other