Can you draw a picture for me about this problem of high school mathematics?

You don't need to draw a picture. If you draw a picture, you will only remember the picture, but you won't understand the meaning. Just test the following four sentences when the line is vertical, and just set the definition inside.

The condition that a straight line is perpendicular to the plane: if a straight line B is perpendicular to two intersecting straight lines X and Y in the plane β, then B is perpendicular to β. (Internal, communication and vertical are indispensable).

The property of line-plane verticality 1: If a straight line B is perpendicular to plane β, then B is perpendicular to plane γ parallel to β.

The essence of vertical line and plane 2: Two planes perpendicular to the same straight line are parallel to each other.

Option A, if a straight line and intersection point are missing, and a straight line B is perpendicular to two intersecting straight lines X and Y in plane β, then B is perpendicular to β. Obviously option a is wrong.

Option b, seriously does not meet the conditions of vertical line and plane (internal, intersecting, vertical and indispensable). M may belong to α, or it may be parallel to α, but it cannot be perpendicular to α. Option b is wrong.

C option, n is perpendicular to α and n is perpendicular to β, so α and β conform to the property of vertical line and plane 2 (two planes perpendicular to the same line are parallel to each other), and α and β are parallel to each other; Because m is perpendicular to β, according to the property that straight line and plane are perpendicular to 1 (a straight line B is perpendicular to plane β, then B is perpendicular to plane γ parallel to β). C option is correct.

Option d, lack of a straight line, lack of intersection, does not meet the condition that a straight line is perpendicular to the plane (a straight line B is perpendicular to two intersecting straight lines X and Y in plane β, then B is perpendicular to β), and M may belong to α, but M cannot be perpendicular to each other in α.

The nature of vertical line and plane 3: plane β is perpendicular to line B, and B is parallel to line C, then β is perpendicular to line C..

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