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Senior one mathematics solid geometry.
1, two planes are parallel: as long as two intersecting straight lines are parallel to one plane, they can be determined.

A 1N is parallel to MB NC, so it can be judged that c1m.

2. The first question shows that the problem of A 1C being parallel to C 1B is transformed into finding the included angle between C 1B and c1n..

Because AB is perpendicular to CN and C 1C, AB is perpendicular to c1n. Find the included angle in the right triangle C 1NB (is there a condition missing? NB=? C 1N=? )

If the topic is right-angled triangular prism, the second and third questions will be easy.