空间向量及其运算
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空间向量及其运算. 一、知识整合. 空间向量. 相等向量. 共线向量. 1 、空间向量及其有关概念. 共面向量. 共面向量定理. 空间向量基本定理. 空间向量的加法、减法与数乘运算. 2 、空间向量的运算及运算律. 两个向量的数量积. 一、基础训练. 三、知识应用. 例:如图所示,在四面体 OABC 中,已知 OA BC , AC OB ,求证: AB OC 。. O. 变式 1 :若 M 为 BC 的中点, N 为 AC 的中点, P 为 OA 的中点, Q 为 OB 的中点,若 AB=OC , 求证: PM QN.
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空间向量及其运算
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