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在立体几何中,求直线与平面所成角一直是各地高考的重头戏。下面笔者以《2013年浙江省普通高考考试说明》中样卷的一道解答题为例,用一题多解的形式介绍求直线与平面所成角的一些常用方法和解题技巧。一、定义法斜线与平面所成角定义:一个平面的斜线与其在平面内的射影所成的夹角叫做斜线与平面的所成角,范围为θ∈(0,7π)。例题(2013年浙江高考样卷)如图1,四棱锥P-ABCD,PA⊥底面ABCD,AB∥CD,AB⊥AD,AB=AD
In the three-dimensional geometry, seeking a straight line and plane angle has been the highlight of college entrance examination all over. The following author to “2013 Zhejiang Province General College Entrance Exam Description” in a sample of the answer questions as an example, with a form of multi-solution to introduce some of the lines and planes into the angle of some common methods and problem-solving skills. Define the angle defined by the law slant line and the plane. The angle formed by the slant line of a plane and its projective plane is called the angle formed by the slant line and the plane. The range is θ∈ (0,7π). Example (Zhejiang college entrance examination sample 2013) Figure 1, quadrangular pyramid P-ABCD, PA⊥ bottom ABCD, AB∥CD, AB ⊥ AD, AB = AD