Question

Изобразите тетраэдр DABC и на рёбрах DB, DC, BС- отметьте соответственно точки MNK. Постройте точку пересечения A-прямой MN и плоскости ABC; Прямой KN и плоскости ABD.

Answer 1

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Answer 2

Drawing a Tetrahedron and Marking Points

To draw a tetrahedron DABC and mark points MNK on the edges DB, DC, and BC, we can follow the given information. The snippet from Source provides the information about the tetrahedron and its edges. It states that "BC SABC D, CD=2BD." This indicates that the tetrahedron has the vertices D, A, B, and C, and the edge lengths satisfy the given condition.

Finding the Intersection Points

To find the intersection point of line MN with plane ABC and the intersection point of line KN with plane ABD, we can use the information provided in the search results. Source mentions the points M and N in relation to the tetrahedron ABCD. It states, "ABCD is a tetrahedron with vertices A1B1C1D1, M and N are the midpoints of the edges (1MN); (1..." This information can be used to determine the positions of points M and N in relation to the tetrahedron ABCD.

Conclusion

Based on the provided information, we can draw the tetrahedron DABC and mark the points MNK on the edges DB, DC, and BC. Then, we can use the positions of points M and N to find the intersection point of line MN with plane ABC and the intersection point of line KN with plane ABD.