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每年全国各地高考试卷中,都有不少试题与三角形的“四心(内心,外心,垂心,重心)”有关,与三角形的“心”有关的向量问题是一类极富思考性和挑战性,又具有相当深度和难度的重要题型,备受各级考试命题者的青睐,经常出现在各级各类考试卷中,学生在解决这些问题时错误率较高,甚至是无从下手。笔者搜集了部分资料,结合本人积累的一些经验,就高中新课标向量的相关知识进行阐述,对有关三角形的“四心”的相关知识进行复习。特别体现出它们之间的结合。
There are quite a few questions in the college entrance examination papers all over the country each year, which are related to the “four hearts (inner, outer, vertical, and center of gravity)” of the triangle and the vector problems associated with the triangular “heart” Thinking and challenging, but also has a considerable depth and difficulty of the important questions, many candidates at all levels of examination favored, often appear in all types of exam papers, students in the resolution of these problems a higher error rate, or even It is impossible to start. I collected some of the information, combined with some of my accumulated experience on the new high school curriculum vector related knowledge to elaborate on the triangle “Four Heart ” related knowledge review. In particular, reflect the combination between them.