If three planes intersect each other and the three intersecting lines are parallel to each other, the three planes divide the space into two parts______ Part

If three planes intersect each other and the three intersecting lines are parallel to each other, the three planes divide the space into two parts______ Part

As shown in the figure, the three planes α, β and γ intersect each other, and the intersection lines are a, B and C respectively, and a ‖ B ‖ C. by observing the figure, it is concluded that α, β and γ divide the space into seven parts

If three planes intersect each other and three intersecting lines intersect at one point, the three planes divide the space into several parts
It's like the three sides of a pyramid!

Eight. You can imagine a vertex of a rectangular cabinet. The three faces are perpendicular to each other. It's easy to imagine

Given that plane a is parallel to plane B, line L is contained in a, point P belongs to L, and the distance between planes a and B is 8, then the distance from point P in B is 10, and the distance from point P to line is 10
What is the trajectory of the point with a distance of 9?
A one circle B two straight lines C four points D two points

Let's first set the point d that satisfies the condition. You can make the vertical PE of plane a through point P, then: PE = 8
The distance from point d to point P in plane B is PD = 10, PD ^ 2 = PE ^ 2 + ed ^ 2;
We can get: ed ^ 2 = 36; that is: D is a circle on plane B with perpendicular foot e as the center and radius r = ed = 6;
If line L1 is made through perpendicular foot E and parallel to line L, then the distance between lines D1 = PE = 8; if line L2 is made in plane B so that the distance between L2 and l D2 = 9, and the distance between lines L1 and L2 in plane B is m, then: D2 ^ 2 = D1 ^ 2 + m ^ 2 can get: m ^ 2 = 17,
That is: the distance between L1 and L2 in plane B is √ 17 < R = 6;
Therefore, the trajectories of the points with distance 10 from point P and distance 9 from line L are the four intersections of L2 and circle
L2 is symmetrical on both sides of L1, so there are 2x2 = 4 intersections