鞍山师范学院学报

:198 5年 9月 2 8日 ,笔者发现了数学三弦定理 ,1991年 2月 ,该定理由专家认定 .这个定理是 :过圆上一点引该圆任意三条弦 ,则中间弦与最大角正弦的积等于其余两弦和它们不相邻角正弦积的和 .应用三弦定理解证题 ,可起到化繁为简、化难为易的作用 ,而且其应用十分广泛 .本文通过范例论述三弦定理在几何与代数中的若干应用

I discovered the three chord theorem of mathematics on Sept.28th,1985 and it was considered correct by the experts in Feb,1991.It was:draw any three chords from the same point of the circle,and the product of the mid chord and the sine of the widest angle equals to the sum of the nest two chords and their non neibougher angle's sin.\;If we use this theorem when we prove a certain sulject.It will make the subject easier,and it was used widely.Here,we set some samples to emplain the use of it .\;