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向量本身是一个几何概念,具有代数形式和几何形式两种表示方法,易于数形结合,而且向量问题在进行数形结合时具有新形式、新特点,因此可称为高中数学的一个交汇点.三角形的“四心”(外心、内心、重心、垂心)是与三角形有关的一些特殊点,各自有一些特殊的性质.在高考中,往往将“向量作为载体”对三角形的“四心”进行考查.这就需要我们在熟悉向量的代数运算的基础上读懂向量的几何意义.下面举例说明.
The vector itself is a geometric concept with both algebraic and geometric forms of representation, easy to form a combination of numbers, and vector problems in the form of a combination of new forms and new features, it can be called a high school mathematics intersection. Triangle “four hearts ” (outer, inner, center of gravity, vertical) is a triangle with some special points, each with some special properties.In the college entrance examination, often “vector as a carrier ” to the triangle “Four Heart ” This requires us to understand the geometric meaning of the vector on the basis of the familiar algebraic vector algebra.Examples below.