How many planes and surfaces does a cone have

How many planes and surfaces does a cone have


Two faces. One plane. One surface. One surface



Are cylinders, cones and prisms enclosed by several surfaces? Are they planar or curved? Are the sides intersected with the bottom to form several lines? Are they straight or curved?


The cylinder has three faces, two planes, one curve and two curves
A cone has two faces, one plane, one curve and one curve
There are many kinds of prism. Take triangular prism as an example: it has five faces, all flat and six straight lines



Judge that both cylinder and cone have three faces () both cylinder and cone are curved surfaces ()


(1) Two faces of staggered cone
(2) It's not a mistake



How many faces does a cone consist of? Are they planar or curved?
The top is not enough. Write the bottom
Is their intersection straight or curved? What about a prism? How many sides are there through a vertex of a prism?


A cone is made up of a circle and a sector whose intersection is an arc
A prism depends on how many prisms it is. For example, a quadrangle is a quadrilateral at the top and bottom, a quadrilateral at the side, and a vertex passing through a prism has three sides



How many faces is a cone made of? Which face is a plane? Which face is a surface?


Two. The bottom is flat and the side is curved



There are two intersection points between two straight lines in the plane, and two straight lines are formed by the intersection of two planes. 2 cone is composed of two faces, two planes and two surfaces
Roll up a rectangle to form the side of a different cylinder
Starting from the same vertex of the hexagon and connecting with the fixed points, the hexagon can be divided into triangles


(1) One
(2) Two faces form one plane and one surface
(3) 2
(4) 4



If three planes intersect each other and the three intersecting lines are parallel to each other, the three planes divide the space into ()
A. Part 5 Part B. Part 6 part C. Part 7 Part D. Part 8


Three planes can be represented by three lines a, B and C. the section is as shown in the figure. The space is divided into seven parts, so C



If there are three planes and three intersecting lines, how many parts does space divide into? Why?
The answer is seven or eight intersection lines?


As shown in the figure, there are 8 and 7 cases respectively
This kind of problem depends on the ability of spatial logical thinking, usually more practice, no fixed method



It is known that three planes intersect each other and there are three intersecting lines


It is proved that: let three planes be α, β, γ, and α ∩ β = C, α ∩ γ = B, β ∩ γ = a; ∩ α ∩ β = C, α ∩ γ = B, ∩ C ⊂ α, B ⊂ α; ∩ C and B intersect at a point, or are parallel to each other. (1) as shown in Fig. 1, if C and B intersect at a point, let C ∩ B = P



If there are four different planes in space, the number of intersecting lines formed by these four planes is
A.1,2,3,4,5,6
B.0,1,2,3,4,5,6
C.0,1,3,4,5,6
D.0,1,2,3,5,6


C
The four faces are parallel
Four faces intersect on one axis
One of the three planes is vertical and the other three planes are horizontal
Four faces are parallel
Five three faces form the three sides of a triangular prism. One face is parallel to one of them and intersects with the other two faces
The three faces form the three sides of a prism, and the other face cuts across the prism