试题与答案

已知a=(sinα,1),b=(cosα,2),α∈(0,π4).(1)若a∥b

题型:解答题

题目:

已知
a
=(sinα ,1)
b
=(cosα ,2)
α∈(0 ,
π
4
)

(1)若
a
b
,求tanα的值;
(2)若
a
b
=
17
8
,求sin(2α+
π
4
)
的值.

答案:

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题型:阅读理解

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You probably hear soft, slow music as you walk along the aisles. This may be an attempt to please you, so you will enjoy shopping. Some supermarkets want to increase their profits by playing soft and slow music, because the slow music makes you walk slowly and you have more time to buy things.

Fresh fruit and vegetables are usually put near the entrance. When you arrive at the supermarket, you think about the kinds of fruit and vegetables you need first. Once you’ve got that out of the way, you can relax and do the rest of the shopping without any hurry. Besides, if you see fresh goods first, it gives you a “feel good” impression of freshness, so you can not help spending your money.

Maybe you go to the meat department then. There is some meat on sale, and you want to find it. The manager of the supermarket knows where customers enter the meat department. The cheaper meat is at the other end of the meat department, away from where the customers enter. You have to walk past all the expensive meat before you find the cheaper meat. Maybe you will buy some of the expensive meat instead of the meat on sale.

Most of the food in supermarkets is very attractive. It all says “Buy me quickly!” to the customers. The fresh fruit and vegetables say “Buy me quickly!” as you walk by. The expensive meat says “Buy me quickly!” The supermarket tells you what to buy.

小题1:Some supermarkets play soft, slow music because it ______.

A.makes customers walk slowly and buy more

B.can help customers get the things they want

C.can make customers relaxed and happy

D.can tell customers exactly where to go小题2:The manager knows ______.

A.where customers come from

B.which customers like slow music

C.where fresh meat should be put

D.which customers like cheap meat小题3:When walking past the expensive meat, the customers will ______.

A.pay no attention to it

B.possibly buy some

C.look for some cheap meat

D.feel uncomfortable小题4:If you see fresh goods first in the supermarket, ______.

A.you know where to get things

B.it brings you good luck

C.it makes you spend less money

D.you’ll get a fresh impression小题5:Supermarket managers make the food attractive so that ______.

A.the customers will buy more

B.it looks very expensive

C.the customers come often

D.it seems cheap and fine

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