Piramida P
Embed Size (px)
Citation preview
-
8/17/2019 Piramida P
1/12
Se dă piramida SABC secţionată cu planul [P]. Să se
reprezinte
desfăşurata trunchiului de piramidă cuprins între planul bazei
şi planul
secant.
Se cunosc: S(12, 95, 75), A(105, 25, 0), B(60, 10, 0), C(85, 60,
0). Planul
secant [P] este definit de punctele Px(25, 0, 0) şi T(65,
57, 60), unde
(Ph)≡(Px*t) şi (Pv)≡(Px*t ').
0Xa'
s
a
b
c
s'
c'
( P h )
( P v )
b' Px
-
8/17/2019 Piramida P
2/12
0Xa'
s ( d
)
a
b
c
s'
c'
(P
h) ( P h )
v'
( P v )
v
1
1
1
1
b'
h1
Px
1'
1
Pxh'1
( P 1 v )
d ' 1 )
-
8/17/2019 Piramida P
3/12
0Xa'
s ( d
)
a
b
c
s'
c'
( d )
( d )
(P h) (P h)
(P h) ( P
h )
v'
( P v )
vvv
1
231
2
1
3
3 2
1
b'
h1
h3
h2
Px
2 ( P
v )
1 ( P v )
3 ( P v )
3v'
2v'1'
1
-
8/17/2019 Piramida P
4/12
0Xa'
s
3'
( d )
a
b
c
s'
1'
c'
2'
3
2
1
( d )
( d )
(P h) (P h)
(P h)
( P h )
v'
v'
v'
( P v )
vvv
2
1
3
231
2
1
3
3 2
1
b'
h1
h3
h2
Px
( P v ) 3
( P v ) 1 ( P
v ) 2
-
8/17/2019 Piramida P
5/12
0Xa'
s
3'
a
b
c
s'
1'
c'
2'
3
2
1
(P h) (P h)
(P
h) ( P h
)
v'
v'
v'
( P v )
vvv
2
1
3
231
3 2
1
b'
h1
h3
h2
Px
( P v )
II
20V 2 0 ( D )
0
0
-
8/17/2019 Piramida P
6/12
0X a'
s
3'
( d )
a
b
c
s
1'
c'
2'
3
2
1
( d )
( d )
(P h) (P h)
(P h) ( P
h )
v'
v'
v'
( P v )
vvv
2
1
3
231
2
1
3
3 2
1
b'
h1
h3
h2
Px
( P v )
III
I
II
20V
30V
10V
2 0 ( D )
3 0 ( D )
1 0 ( D )
0
0
0
0
-
8/17/2019 Piramida P
7/12
0Xa'
s
3'
a
b
c
s'
1'
c'
2'
3
2
1
( P h )
( P v )
b' Px
(d)
a'
S
a b c
b' c'
1 1 1
1 1 1
1'1
12'13'
(d')
s 1
1s'
-
8/17/2019 Piramida P
8/12
0Xa'
s
3'
a
b
c
s'
1'
c'
2'
3
2
1
( P h )
( P v )
b' Px
(d)
a'
S
a b c
b' c'
1 1 1
1 1 1
12'
13'
(d')
s1
1s'
B
A
1'1 I
-
8/17/2019 Piramida P
9/12
0Xa'
s
3'
( d )
a
b
c
s'
1'
c'
2'
3
2
1
( d )
( d )
(P h) (P h)
(P h)
( P h )
v'
v'
v'
(
P v )
vvv
2
1
3
231
2
1
3
3 2
1
b'
h1
h3
h2
Px
( P v )
IIII
II
(d)
a' A
S
a b c
b' c'
1 1 1
1 1 1
B
1'1 I
12'
13'
II
(d')
0
s1
1s'
0
0
0
-
8/17/2019 Piramida P
10/12
0Xa'
s
3'
( d )
a
b
c
s'
1'
c'
2'
3
2
1
( d )
( d )
(P h) (P h)
(P
h) ( P h )
v'
v'
v'
( P v )
vvv
2
1
3
231
2
1
3
3 2
1
b'
h1
h3
h2
Px
( P v
)
IIII
II
(d)
a' A
S
a b c
b' c'
1 1 1
1 1 1
B
C
1'1 I
12'
13'
II
III
(d')
0
s 1
1s'
0
0
0
-
8/17/2019 Piramida P
11/12
0Xa'
s
3'
(
d )
a
b
c
s'
1'
c'
2'
3
2
1
( d )
( d )
(P h) (P h)
(P
h) ( P h )
v'
v'
v'
( P v )
vvv
2
1
3
231
2
1
3
3 2
1
b'
h1
h3
h2
Px
( P v )
IIII
II
(d)
a' A
S
a b c
b' c'
1 1 1
1 1 1
B
C
A
1'1 I
12'
13'
II
I
III
(d')
0
s 1
1s'
0
0
0
-
8/17/2019 Piramida P
12/12
0Xa'
s
3'
( d )
a
b
c
s'
1'
c'
2'
3
2
1
( d )
( d )
(P h) (P h)
(P
h) ( P h )
v'
v'
v'
( P v )
vvv
2
1
3
231
2
1
3
3 2
1
b'
h1
h3
h2
Px
( P v )
IIII
II
20V
30V
10V
2 0 ( D )
3 0 ( D )
1 0 ( D )
(d)
a' A
S
a b c
b' c'
1 1 1
1 1 1
B
C
A
A
1'1 I
12'
13'
II
I
III
I
(d')
0
s 1
1s'
0
0
0
