On line, etc.: it is known that the line L is parallel to the plane a, and it is proved that the distance from each point on the line to the plane is equal process

On line, etc.: it is known that the line L is parallel to the plane a, and it is proved that the distance from each point on the line to the plane is equal process

Take any two points a and B on the line L
Make AA 'vertical plane a to a', BB 'vertical plane a to B',
Connect a'B '
Then: AA 'vertical a'B', BB 'vertical a'B'
So AA 'parallel BB'
AB is parallel to plane a
So: AB is parallel to a'B '
So: aa'b'b is a parallelogram
AA'=BB'
That is: the distances from a and B to plane a are equal
Consider that a, B are any two points of the line L
So: the distance from each point on the line to the plane is equal

It is known that the radius of ⊙ o is 5 and the distance between line L and point O is D & nbsp; cm
A. d＞5B. d=5C. d＜5D. 0≤d≤5

∵ ⊙ o has a common point with the straight line, ∵ the line L is tangent or intersect with the circle, ∵ the distance from the point O to the line L is less than or equal to the radius of the circle, that is, D ≤ 5, ∵ D ≥ 0, ∵ 0 ≤ D ≤ 5

In the same plane, the distance from the known point O to the straight line L is 3, and R is the radius to draw a circle
In the same plane, the distance between the point O and the straight line L is known to be 3, and R is the radius to draw a circle. This paper explores and summarizes: (1) when r = () is, the distance between one point O and the straight line L is equal to 2, and when r = (), the distance between three points o and the straight line L is equal to 2. (2) with the change of R, the number of points on O and the straight line L is equal to 2, And write the corresponding value or range of R (it is not necessary to write the calculation process)

1
five
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