Traditional Culture Encyclopedia - Photography major - Please draw a picture to illustrate the definition of projection in high school mathematics space geometry.?

Please draw a picture to illustrate the definition of projection in high school mathematics space geometry.?

[Projection of a point on the plane] Draw a perpendicular line from a point to the plane, and the vertical foot is called the projection of this point on the plane.

As shown in the figure, AA'⊥Plane M , A' is a vertical foot, and A' is said to be the projection of point A on plane M.

Similarly, if BB'⊥plane M, B' is on M, then the projection of B on M is B'.

Obviously, the projection of point C on the plane on the plane is point C itself.

[The projection of the oblique line on the plane, the projection of the oblique line segment on the plane Projection] When a straight line intersects a plane obliquely, the intersection point is called the oblique foot.

If a perpendicular line is drawn to the plane through any point other than the oblique foot on the oblique line, the straight line passing through the vertical foot and the oblique foot is called the oblique line. The projection on this plane; the line segment between the vertical foot and the oblique foot is called the projection of the oblique segment from this point to the plane on this plane.

As shown in the figure, the projection of straight line AC on plane M is straight line A 'C (point C is on plane M), the projection of line segment AC on plane M is line segment A'C.

Obviously, the projection of line segment AB on plane M is line segment A'B'; < /p>

The projection of the vertical line AA' on the plane M is a point, that is, the vertical foot A', and the projection of the vertical line segment is also a point, that is, the vertical foot of the vertical line segment.

, 6 , please draw a picture to explain the definition of projection in high school mathematics space geometry.

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