Keyword: «the preparation of applicant's mathematical or technical colleges»

In order to increase the level of mathematical preparation of future students of mathematical and technical specialties required at school geometry lessons, and in the process of preparation for the Unified State Examination in mathematics (advanced level) pay special attention to the math questions without a solid knowledge of which are essential for successful learning in higher education. In this article, on the example problems on solid geometry, proposed as a task of high level on the math exam profile level, demonstrates one of the possibilities of differentiated approach in the training of future first-year students in mathematical or technical Universities, who will develop a course of higher mathematics, particularly analytical geometry. On the example of solving of some problems of solid geometry demonstrates the advantages of using the coordinate-vector method. The content of the article is of interest to professors, teachers, high school students preparing for entrance to Universities to study technical or mathematical areas.