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ГЕОМЕТРИЯ 10 класс. ПОСТРОЕНИЕ СЕЧЕНИЙ МНОГОГРАННИКОВ. СЕЧЕНИЕ В ЧЕРЧЕНИИ. СЕЧЕНИЕ В ГЕОМЕТРИИ. В тетраэдре ABCD точка К принадлежит ребру DB , точка Е – ребру AB , точка N – ребру DC . Построить сечение, проходящее через точки K , Е и N. СЕЧЕНИЕ.

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ГЕОМЕТРИЯ 10 класс

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10


ABCD DB, AB, N DC. , K, N.


,

, ,


?


D1

C1

B1

A1

D

C

S

A

B

L

X

R

Y

C

A

B

M


S

X

P

C

A

B

1. M N, MN A=X

2. X K, XK A=P

3. PM, NK

M

4. MNKP

N

K


,

B1

C1

M

D1

A1

N

B

C

A

D

, A1, MD1C1 NDD1.

:

1. A1M

2. A1N

3. MN

4. A1 M N


B1

C1

M

D1

A1

N

B

C

A

D

Y

X

.

1. MNCD=X

2. A1NAD=Y

3. XY

4. XY ()


,

X

B1

N

M

C1

Z

D1

A1

K

R

B

C

P

A

Q

D

Y

, : A11, N B1C1, K CC1

1. MN.

2. MN D1C1=X

3. NK, XK

4. XK DC=P

5. KP DD1=Y

6. MN A1D1 =Z

7. YZ

8. YZ AD =Q

9. YZ AA1 =R

10. QP, RM

11. MNKPQR


A

A

A

A

B

B

B

B

C

C

C

C

1. ABC?

1

2

3

4


S

S

S

S

B

B

C

C

C

B

C

A

A

D

D

A

A

D

D

B

2. , BD SA?

1

2

3

4


C

A

C

A

B

B

S

S

C

C

A

A

M

M

M

M

3. , SA?

S

S

1

2

3

4

B

B


3 2 4


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