Как построить точку пересечения прямой и плоскости | Геометрия 10 класс | Стереометрия

Link to the worksheet with problems: https://vk.com/wall-199104221_535 Time codes: 00:00 Algorithm for constructing the intersection point of a line and a plane 01:00 Problem 1 02:06 Problem 2 03:26 Problem 3 04:32 Problem 4 05:41 Problem 5 Solved problems: #1. In triangular prism ABCA1B1C1, point O lies on edge CC1. Construct the intersection point of line AO ​​with plane A1B1C1. #2. In quadrilateral prism ABCDA1B1C1D1, point F lies on the extension of edge BC such that point C lies between points B and F. Point T lies on edge CC1. Construct the intersection point of line TF with plane AA1B. #3. In a quadrilateral pyramid SABCD, points K and F lie on edges SB and SD, respectively (segment KF is not the midline of triangle SBD). Construct the point of intersection of line KF with the plane of the pyramid's base. #4. SABC is a triangular pyramid. Point K lies on edge SB (where BK = 1/3BS), point F lies on segment CK, and point O on edge SA. Construct the point of intersection of line OF with plane ABC. #5. Given a quadrilateral pyramid SABCD with vertex S, point M lies on lateral edge SD. Construct the point of intersection of line BM with plane ASC.