In the college entrance examination, "vector" is often used as a carrier to investigate the "four hearts" of a triangle. Their vector expressions have many important properties, which always lead to some novel and unique questions, which not only examine knowledge points such as vectors, but also cultivate candidates' ability to analyze and solve problems. This requires us to understand the geometric meaning of vectors on the basis of being familiar with the "four centers" theorem of triangles and the algebraic operation of vectors.

Vector calculation of four centers of triangle

Plane vector is the hot spot and focus of college entrance examination over the years, which is generally a mid-range multiple-choice question or a fill-in-the-blank question. The proposition highlights the basic operation and instrumentality of test vectors, and permeates the examination of core literacy such as mathematical operation and mathematical modeling.

In solving problems, it is often combined with trigonometric functions and the positional relationship between straight lines and conic curves. , mainly in the form of known conditions, involving vector * * * lines, product of quantities, etc.