目录向量在初等几何中的应用.......................................................................................................................................1摘要...........................................................................................................................................................................1VectorUsedInElementaryGeometry......................................................................................................................2Abstract.....................................................................................................................................................................21绪论.......................................................................................................................................................................32向量的运算规律与定理和推论...........................................................................................................................32.1向量加法运算规律...........................................................................................................................................42.2向量乘法运算规律............................................................................................................................................42.3向量数性积........................................................................................................................................................42.4向量矢性积........................................................................................................................................................43向量在初等几何中的应用实例...........................................................................................................................53.1向量在处理平行问题时的应用.......................................................................................................................53.2向量在求点的坐标的问题时的应用...............................................................................................................63.3向量在处理线面垂直问题时的应用...............................................................................................................63.4向量在处理等距问题时的应用.......................................................................................................................73.5向量在求解和证明与角度有关问题时的应用...............................................................................................93.6向量在证明正弦定理时的应用.......................................................................................................................9例6.证明正弦定理................................................................................................................................................103.7向量在解三角形中的应用.............................................................................................................................104向量在几何问题的研究中的作用.....................................................................................................................11参考文献.................................................................................................................................................................12向量在初等几何中的应用摘要向量是现代...