文 [1 ]中研究了三角形内接正三角形的存在性问题 ,得到结论 :任意三角形至少存在一个内接正三角形 .同时指出 :关于三角形内接正三角形的个数问题 ,有待进一步研究 .本文就此问题做一些探讨 .图 1　内接正三角形图如图 1 ,在△ＡＢＣ中 ,设Ａ≥Ｂ≥Ｃ ,ＢＣ =ａ ,ＣＡ =ｂ ,Ａ In [1], we studied the existence of triangular intrinsic triangles and concluded that there is at least one intrinsic triangle in an arbitrary triangle. At the same time, it is pointed out that the number of intrinsic triangles in triangle needs further study. Do some research on the problem. Figure 1 Inwardly connected triangle diagram shown in Figure 1, in △ ABC, set A ≥ B ≥ C, BC = a, CA = b, A