引言向量是近代数学中引入的新概念之一,它既是代数研究对象,又是集合研究的对象,因此向量就必然地成了代数与几何链接的纽带.在教学中应用“数形结合”的方法,既可形思数,又可数化形,更可以两者有机结合地使用,充分展现形与数的美,让学生体会其化归的方法与实践的过程,提高学生分析、判断、解决问题的能力,在拓展与延伸中,向量可在奥数与自主招生中展现其神奇魅力.苏霍姆林斯基曾说:“人的内心深处有一种根深蒂固的需 Introduction Vector is one of the new concepts introduced in modern mathematics, which is not only the research object of algebra, but also the object of ensemble research, so the vector inevitably becomes the link of algebra and geometry link .In teaching, ”Method can not only form a few numbers, but also a few figures, but also the combination of the two can fully demonstrate the beauty of form and number, so that students understand the process of its return and practice to improve student analysis, Judgment, problem-solving ability, in the expansion and extension, the vector can show its magical charm in Mathematical Olympiad and self-enrollment.Suhomlinski once said: "There is a deep-rooted human needs