Theory and tasks here: https://1.shkolkovo.online/public-sto... Summer vacation as a GIFT? Easy! For those who connect to the Time of the First - the Summer course is a bonus ???? ????USE: https://3.shkolkovo.online/vremya-per... ????OGE: https://3.shkolkovo.online/vremya-per... ????10th grade: https://3.shkolkovo.online/vremya-per... ❗HURRY UP: the price for VP will increase on June 9th ???? ???? Spin the roulette and get an additional discount ????????https://3.shkolkovo.online/fortune?ut... ????Find out more about how to save money here ⬇ https://3.shkolkovo.online/vozvrat-nd... All our current promotions and discounts ???????? https://3.shkolkovo.online/special?ut... ????Feedback from our students???????? https://2.shkolkovo.online/reviews?ut... Telegram channel on mathematics with MO???????? https://t.me/MO_EGE ???? Subscribe to notifications and mailing of useful materials on VK???????? https://vk.com/app5898182_-185634090#... Our channels: ✔️Olympiad Mathematics with DA: https://shkolkovo.info/yt1 ✔️ Physics with AB: https://shkolkovo.info/yt2 ✔️ Preparation for the OGE for all subjects: https://shkolkovo.info/yt4 ✔️ Social Science with MV: https://shkolkovo.info/yt5 ✔️ Biology with EV: https://shkolkovo.info/yt6 ✔️ Biology and Chemistry Mutagen: https://shkolkovo.info/yt7 ✔️ Easy-USE Mathematics with Ali: https://shkolkovo.info/yt9 ✔️ Mathematics with MO and Russian language with TA (Shkolkovo Main Channel): https://shkolkovo.info/yt10 ✔️ Maxim Koval. Vlog of a math teacher: https://shkolkovo.info/yt11 ✔️ Economics. Shkolkovo Olympiad: https://shkolkovo.info/yt12 ✔️Physics OGE with GK: https://shkolkovo.info/yt13 ✔️History with AB: https://shkolkovo.info/pf ✔️English with SS: https://shkolkovo.info/pg ✔️Computer Science BU: https://shkolkovo.info/tn ✔️Social Science OGE: https://shkolkovo.info/xj 00:00 How will the web be held? Who is it for? 06:44 Problem 1 (from the Unified State Exam-22). What is a quadrangular pyramid. Extension drawings. 12:08 Section plane and section. Parallelism of a line and a plane. 16:14 Point a). We construct a section of the pyramid using parallelism. 24:10 Criterion for parallelism of a line and a plane. Proving that the section is a trapezoid. 27:28 Trap in the problem! 36:39 Point b). Theorem on proportional segments. Planimetry in stereometry. 45:50 Reviewing the entire solution. 53:30 Cube from the Unified State Exam-22! Don't share it with anyone! 58:10 Theorem on three perpendiculars. Criterion for perpendicularity of a line and a plane. 1:03:00 Point a). Applying theorems. 1:10:36 Point b). Method of volumes for finding the distance from a point to a plane. 1:25:48 Reviewing the idea of ​​the solution. 1:29:37 Let's cheer up with a freebie from the Unified State Exam-22 ahead of schedule! Pythagorean theorem. 1:40:08 Point b). Formula for the volume of a pyramid. Theorem of cosines. 1:51:20 A problem from the early exam USE-22. A cool fact about a pyramid with faces - isosceles triangles. 2:01:10 Point b). Distances between lines. 2:11:44 The second solution method. Let's count all the segments! 2:24:55 A problem from the exam USE-22. It is not necessary to construct the entire section! 2:33:51 Point a). Menelaus' theorem and similarity solve stereometry. 2:41:22 Point b). A classic picture on the relationship between volumes and areas. 3:08:19 We ran through the solution conceptually. 3:14:32 Angle between planes. Theorem on the area of ​​projection and the cosine of the angle between planes. 3:16:23 We apply the theorem in a problem from the exam USE-22. Projection of polygons. 3:34:41 An idea on how to find the cosine of an angle between planes. 3:46:35 A plan for the second solution (using a fact about areas). 3:51:22 What happens next?