Предмет: Геометрия, автор: ksyushka0520

РЕБЯТ ПОМОГИТЕ С РЕШЕНИЕМ!!!!

1. В кубе A....D1 с ребром 1 найти косинус угла между прямыми AA1 и BD1

2. В правильной шестиуголной1 призме, все ребра которой равны 1 найти косинус угла между прямыми AB1и BD1

3. В правильной треугольной призме все ребра 1 найти угол между прямой AA1 (AB1C1)

 

 

ЗАРАНЕЕ СПАСИБО!!!!!

Ответы

Автор ответа: dash72
0

1. АА1 соответствует ребру BB1 значит рассматривем треугольник B D1 B1, искомый косинус =bb1/bd1 =1/bd1.

найдем BD1:

 

для этого нужно рассмотреть треугольник B D1 B1 и найти его элементы.

Bb1 из дано равен единице,

 B1D1 надем через треугольник B1C1D1

(d1b1=корень из(b1c1*в квадрате +d1c1* в квадрате) =корень из 2

 

 

d1b= корень из (b1d1*в квадрате +B1b * в квадрате) = корень из (2+1) = корень из 3

 

значит косинус равен 1/корнеь из 3

 

 

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Exercise 1
Insert the article where it is necessary.
1. This is … pen. That is … pencil. 2. This is … book. It is my … book. 3. Is this your … pencil? — No, it
isn’t my … pencil, it is my sister’s … pencil. 4. I have … sister. My … sister is … engineer. My sister’s …
husband is … doctor. They have got two … children. 5. This is … girl. This … girl is their … daughter.
Their daughter’s … name is Vera. 6. That is … boy. That … boy is her … brother. Her brother’s … name
is Nick. 7. This is our … flat. 8. We have got … car. Our … car is not very expensive but reliable. 9. I have
no … pet. 10. My granny has got … headache. She has no … idea what to do. 11. I have … friend. His …
name is Mike. My … friend is very good. 12. It’s … cat. Its … tail is long and bushy. It’s Mike’s … cat.

Exercise 2
Insert the article where it is necessary.
1. When is your … birthday? — My … birthday is (on) … 1st May. 2. Do you remember your mother’s
… birthday? — Yes, I do. 3. His … uncle is generous and her … aunt is very kind. 4. That … man is very
clever. His … book is recognized by a lot of people. 5. They know our … address. 6. Their … son speaks
English very well. 7. My cousin’s … dog is small. Its … hair is curly. 8. Is this … watch? — No, it isn’t …
watch, it’s … pen. 9. This … pen is good, and that … pen is bad. 10. I can see … pencil on your … table,
but I can see no … paper. 11. Give me … chair, please. 12. They have … dog and two … cats. 13. I have …
spoon in my … soup plate, but I have no … soup in it. 14. My … friend says he is going to be … millionaire
one … day. 15. Would you like … orange? 16. Mr Smith is … artist. Mrs Smith is … poetess. She is not … singer.

Exercise 3
Insert the article where it is necessary.
1. He hasn’t got … car. But he’s got … computer. … computer is new. 2. His … friends have got
… cat and … dog. … dog never bites … cat. 3. This is … tree. … tree is green. 4. I can see three … boys.
… boys are playing. 5. I have … bicycle. … bicycle is black. My … friend has no … bicycle. 6. Our … room
is large. 7. We wrote … dictation yesterday. … dictation was long. 8. She has two … daughters and one
… son. Her … son is … pupil. 9. Last year I gave my … mother … bracelet for her … birthday. She liked
… bracelet. 10. My … brother’s … friend has no … dog. 11. This … pencil is broken. Give me that …
pencil, please. 12. She has … ball. … ball is … big. 13. I got … letter from my … friend yesterday. … letter
was interesting. 14. When they were in Geneva, they stayed at … hotel. Sometimes they had dinner
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