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一、利用向量知识来论证立体几何中的线面关系问题利用向量知识可以对立体几何中的线面关系问题进行论证。例1:已知m、n是两条不同直线,α,β,γ是三个不同平面,下列命题中正确的是:()。A.若m∥α,n∥α,则m∥n B.若α⊥y,β⊥γ,则α∥βC.若m∥α,m∥β,则α∥βD.若m⊥α,n⊥α,则m∥n解析:根据向量中空间线与线,线与面的平行、垂直的相关知识,可以得出如果m⊥α,n⊥α,则m∥n,即选项D为正确答案。二、利用向量知识来解决立体几何中的角度问题在立体几何中,经常会遇到各种垂直和夹角等问题,
First, the use of vector knowledge to demonstrate the relationship between the three-dimensional geometric surface The use of vector knowledge can be three-dimensional geometry of the relationship between the line surface to demonstrate. Example 1: Known m, n are two different lines, α, β, γ are three different planes, the following proposition is correct: (). A. If m∥α, n∥α, then m∥n B. If α⊥y, β⊥γ, then α∥βC. If m∥α, m∥β, then α∥ β D. If m⊥ α, n ⊥ α, then m ∥ n Analysis: According to the vector space line and line, line and surface parallel, vertical knowledge, can be drawn if m⊥α, n⊥α, then m∥n, the option D is correct answer. Second, the use of vector knowledge to solve the problem of three-dimensional geometric angle In the three-dimensional geometry, often encounter a variety of vertical and angle issues,