问题 填空题
设ω是正实数,如果函数f(x)=2sinωx在[-
π
4
π
3
]上是增函数,那么ω的取值范围是______.
答案

由正弦型函数的性质,在ω>0时,

所以区间 [-

π
π
]是函数y=2sinωx的一个单调递增区间,

若函数y=2sinωx(ω>0)在[-

π
4
π
3
]上单调递增,

-
π
≤-
π
4
π
π
3

解得0<ω≤

3
2

故答案为(0,

3
2
].

阅读理解

Most people want to be happy, but few know how to find happiness. Money and success alone do not bring lasting happiness. Aristotle, a Greek thinker, said, "Happiness depends upon ourselves." In other words, we make our own happiness. Here are a few suggestions to help you be happier.

The first secret of happiness is to enjoy the simple things in life. Too often, we spend so much time thinking about the future, for example, getting into college or getting a good job -that we fail to enjoy the present. You should enjoy life's simple pleasures, such as reading a good book, listening to your favorite music, or spending time with close friends. People who have several close friends often live happier and healthier lives.

Another secret to living a happy life is to be active, and have hobbies where you forget your problems and time. Many people experience this dancing, or playing a sport, such as swimming. You can forget about your problems, and only think about the activity. Finally, many people find happiness in helping others. Studies show that people feel good when they spend their time helping others. If you want to feel happier, do good things for someone. You can help a friend with his or her studies, go shopping to buy food for an elderly person, or simply help out around the house by washing the dishes.

小题1:The best title of the passage is      .

A.Money Makes You Happy

B.The Secrets of Happiness

C.Ideas for Helping Other People to Be Happy

D.Good Friends Make You Happy小题2:The second paragraph tells us that      .

A.the more friends you have, the happier you will be

B.we shouldn't think about our future

C.happiness is to enjoy the simple things in life

D.some people fail to live a happy life小题3:The passage gives us       pieces of advice on happiness.

A.one

B.two

C.three

D.Four小题4: The writer thinks that      .

A.everyone knows how to live a happier life

B.it's wrong to spend time on work

C.hobbies take up too much time

D.doing good things for someone can make you happier小题5: Which of the following is not mentioned in the passage?

A.Reading a good book.

B.Traveling to a foreign country.

C.Playing a sport.

D.Spending time with close friends.

单项选择题


In the following passage, there are 20 blanks representing words that are missing from the context. Below the passage, each blank has 4 choices marked by letter A, B, C and D respectively. There is only ONE right answer. Blacken the corresponding letter as required on your Machine-scoring ANSWER SHEET.

How many of us would temp for three years while we waited for the perfect job Not many of us, perhaps. But Wentworth Miller, the "Prison Break" star, said he chose to wait even longer time (91) he found the right job.
"Actually I think it might have been three or four years until I was lucky enough to get guest (92) on TV shows," said Miller, 34, who rose to international stardom (93) to "Prison Break" in 2006. That kind of patience and p will was portrayed in "Prison Break". Miller (94) engineering wizard Michael Scofield, who tries everything to break out of a Chicago (95) with his brother. Miller said he was fond of his character, (97) he said "exists in shades of grey".
Miller comes from a (97) of teachers. He said he didn’t seem fated for a career in the arts, (98) his passion for acting. After (99) from Princeton with an English degree, he moved (100) his parents’ request to Los Angeles to look for a stable life. He started (101) in a little company that made television movies. This (102) simply faxing, filing, walking the boss’ dog and going to the store for the boss’ lunch. Every weekend during the summer, Miller (103) go to the office (104) he didn’t have air-conditioning. "I would hang (105) in the conference room and set up camp and rob the company kitchen," recalled Miller.
(106) , Miller realized he still had questions about his choice. He decided to quit. But the boss said he was making a mistake and offered him a well-paid assistant position. "I eventually (107) that if I did the corporate job, it would be great if I was successful, but I would always wonder about the (108) . If I did the acting and was successful, I would never wonder (109) that job," he explained. He quit and temped (110) many people in the entertainment industry.

A.acting

B.work

C.study

D.research