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在高考及模拟考试中,经常出现以空间点、直线与平面的位置关系为背景,考查满足某些条件的点的轨迹问题,这类问题立意新颖,构思巧妙,既考查学生的想象能力,又能深入考查学生思维能力.对于这类问题,学生普遍感到思路不清,无从下手,笔者通过教学实践发现,对此类问题采用“交集”思想处理,学生容易接受,下面通过例题具体说明.
In the college entrance examination and mock examinations, the positional relationship between space points, lines, and planes is often used as a background to examine the trajectory of points satisfying certain conditions. These problems are novel and clever, and they not only examine students’ imagination ability, but also Can deeply examine student’s thinking ability. For this type of problem, students generally feel unclear, can not start, the author found through teaching practice, the use of “intersection ” thought processing of such issues, students are easy to accept, the following examples of specific instructions .