数形结合在一类特殊曲线中的运用

Applications of Notion of Number-Shape Combination in a Class of Special Curves

利用数形结合的思想研究一个有趣的几何问题,即当对称透镜在一个正三角形中旋转1周时,求它的中心运动轨迹和围成的平面区域面积.

With the notion of number-shape combination,an interesting geometric problem is studied.When symmetric lens rotate a circle in the regular triangle,the solutions of the trajectory of its center and the area of planar region which the trajectory forms are obtained.