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立体几何是高考数学的重要考点,在广东高考题中,一般占14分.立体几何的证明通常涉及平行和垂直问题,平行问题中线面平行是常见的出题方向.在线面平行的证明中,学生对于要通过作辅助线构造线线平行问题很多时候都不能顺利证出.通过平常教学工作的积累,发现了线面平行证明的两种类型,并且得出相应的解决方案.以高考题及其模拟题为例子详细阐述了线面平行问题中的“V字形”和“T字形”并给出了对应的解法.多年的教学实践证明,“V字形”和“T字形”的使用使学生对线面平行证明思路更加清晰简单.
Three-dimensional geometry is an important test of math entrance exam, the college entrance examination in Guangdong, generally accounting for 14. Stereoscopic geometry usually involves the issue of parallel and vertical parallelism is a common line in the direction of the problem.Planar parallel proof, Students often can not be successfully certified if they want to construct parallel lines by using auxiliary lines.According to the accumulation of ordinary teaching work, it finds two types of parallel lines of surface recognition and draws corresponding solutions.Taking college entrance examination questions and The simulation questions are given as examples to explain the “V-shaped” and “T-shaped” in the parallelism of lines and the corresponding solutions are given. Years of teaching practice has proved that “V-shaped” and " The use of T-shape makes students clearer and easier to prove in parallel to the line surface.