同学们已学习了正三角形(等边三角形),其三条边相等,三个内角相等,三线合一,轴对称,具有最稳定的结构……美妙的性质动人心弦、令人陶醉.数学大师们在欣赏正三角形的同时,往往还会高瞻远瞩,匠心独运地去研究一些相关的趣题.古希腊的“三大几何难题”魅力无穷,“引无数英雄竞折腰”.之后,尺规作图一直是数学家们关注的焦点之一.利用尺规画正三角形,作法相当简单:先用直尺画出一条任意 The students have learned the regular triangle (equilateral triangle), the three sides are equal, the three inner angles are equal, the three lines are one, the axis is symmetrical and has the most stable structure ...... The wonderful nature is touching and enchanting. Appreciation of the regular triangle at the same time, often will be far-sighted, arrogantly to study some related topics. Ancient Greece’s “three major geometric problems,” infinite charm, “cited countless heroes competing waist.” Later, the ruler It has always been one of the focuses that mathematicians are concerned with. The use of ruler to shape regular triangles is quite simple: first draw a random ruler