文[1]中对一道平面几何题进行了推广,读后深受启发,但笔者试着用向量证明文[1]中的命题.现介绍如下:为了方便用向量证明文[1]中的命题,先给出一个引理已知向量a=(m,n),b=(p,q),现定义向量间的一种运算“*”:c=a*b=(mp-nq,mq+np).则c是这样一个向量:把a的模变为原来的|b|倍,并按 In [1], we promoted a plane geometry problem and was inspired after reading it. However, the author tried to prove the proposition in [1] using vectors. Now it is introduced as follows: In order to facilitate the use of vectors to prove the proposition in [1] Let us first give a lemma known vector a=(m,n), b=(p,q), which now defines an operation “*” between vectors: c=a*b=(mp-nq,mq +np). Then c is a vector: change the modulus of a to the original |b| times and press