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直线型问题中往往有些问题无论是计算求解还是推理论证都比较麻烦,如果充分挖掘已知条件,巧妙构造辅助圆,以圆为载体,搭建未知与已知之间的桥梁,利用圆的有关性质,就能灵活地解决问题,简化解题过程,达到事倍功半的效果.那么如何构造圆,以及在什么情况下,可以想到构造圆昵,下面几例可以说明.一、根据圆的定义构造圆圆是到定点的距离等于定长的点的集合,所以平时在直线型问题中,如果发现至少有三条共端点的线段相等,那么在这些相等线段中,非公共端点的其余
There are often some problems in the straight-line problems, such as computational solution or reasoning argumentation, which are troublesome. If the known conditions are fully tapped, the auxiliary circle is skillfully constructed and the circle is used as the carrier to build a bridge between the unknown and the known. By using the related properties of circles, You can flexibly solve the problem and simplify the problem-solving process, to achieve a multiplier effect.How to construct the circle, and under what circumstances, you can think of the structure of the circle, the following examples can be explained.First, according to the definition of a round circle The distance from the fixed point to the fixed point is equal to the set of points, so usually in linear problems, if at least three common points are found in the same line segments, then in these equal segments, the rest of the non-public endpoints