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You run into the grocery store to quickly pick up your item.You grab what you need and head to the front of the store.After quickly sizing up the check-out lines,you choose the one that looks fastest.You chose wrong.People getting in other lines long after you have already checked out and headed to the parking lot.Why does this seem to always happen to you?
Well,as it turns out,it's just math that is working against you.A grocery store tries to have enough employees at the checkout lines to get all their customers through with minimum delay.But sometimes,like on a Sunday afternoon,they get super busy.Because most grocery stores don't have the physical space to add more checkout lines,their system becomes overburdened.Some small interruption - a price check,a particularly talkative customer---will have downstream effects,holding up the entire line behind them.
If there are three lines at the store,these delays will happen randomly at different registers(收銀臺).Think about the probability.The chances of your line being that fastest one are only one in three,which means you have a two-thirds chance of not being in the fastest line.So it's not just in your mind:Another line is probably moving faster than yours.
Now,mathematicians have come up with a good solution,which they call queuing theory,to this problem:Just make all customers stand in one long snaking line,called a serpentine line,and serve each person at the front with the next available register.With three registers,this method is about three times faster on average than the more traditional approach.This is what they do at most banks,Trader Joe's,and some fast-food places.With a serpentine line,a long delay at one register won't unfairly punish the people who lined up behind it.Instead,it will slow everyone down a little bit.
(1)What phenomenon is described in the first paragraph? AA
A.Queuing in a line.
B.A shopping experience.
C.A rush in the morning.
D.Cutting in a line.
(2)According to the article,what may cause delays in checking out? BB
A.The lack of employees in the grocery store.
B.Some unexpected delays of certain customers.
C.The increasing items bought by customers.
D.A worsening shopping system of the store.
(3)What is the solution given by mathematicians? CC
A.Employing more workers for checking out.
B.Limiting the number of queuing people.
C.Making only one line available.
D.Always standing in the same line.
(4)What's the principle behind the queuing theory? DD
A.To pursue the maximum benefit.
B.To leave success or failure to luck.
C.To avoid the minimum loss.
D.To spread the risk equally among everyone.
【答案】A;B;C;D
【解答】
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發(fā)布:2025/1/1 17:30:2組卷:2引用:2難度:0.5
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1.I was a shy girl.I didn't even like to answer the telephone for fear I'd have to talk to somebody I didn't know.I enjoyed the loneliness of exploring nat up.However,at school I had to spend all day in the company of others.My escape was reading.I spent a lot of time studying and was rewarded with good grades.My only failure was Spanish—I'd get all As on my written work and tests,but Ds and Fs on the spoken part.
Eventually I went to college.During my third year of college,I had enough of being shy and determined to change my outlook and behavior.One day while at school,I noticed an advertisement for positions on the local classical music radio station.I had grown up listening to classical music,and I could easily pronounce names such as Tchaikovsky,Albinoni,and Chopin.
I had absolutely no background in radio,and absolutely no hope-of getting the job.The idea of talking to thousands of listeners in"radio land"terrified me.However,I luckily survived the interview.I was given brief descriptions of symphonies(交響樂) and a public service announcement to read,and a list of composers' names to pronounce.It wasn't hard for me.I left the recording session(錄音時段) with a sense of relief and a sense of accomplishment.About two weeks later I actually landed the job.It was a challenging job,but I grew to enjoy it greatly.I began to feel comfortable talking to people.
Although I now spend many hours each week talking with people,I'm still basically a quiet person.Perhaps it is my soft voice and my quiet nature that helps draw people out as they respond to my questions as I interview them.My former shyness is a fortune,as I can relate to people who feel discomfortable when they talk to newspaper reporters.I still enjoy moments of loneliness and the peace found in nature.But I'm also glad I decided to make a change in my life that has opened many doors and opportunities that I never knew existed.
(1)What do we learn about the author?
A.She didn't like reading.
B.She enjoyed shyness in nature.
C.She wasn't interested in music.
D.She didn't work hard enough.
(2)How did the author feel before the interview?
A.Very excited.
B.Pretty confident.
C.Highly confused.
D.Extremely anxious.
(3)What does the author later think of her quiet personality?
A.It makes others feel less comfortable.
B.It is beneficial for her challenging job.
C.It prevents her being a newspaper reporter.
D.It draws a negative response from audiences.
(4)The text manly focuses on the author's
A.desire to find her true self
B.feeling about being a radio hostess
C.story of exploring the meaning of life
D.experience and feeling of overcoming shyness發(fā)布:2025/1/1 17:30:2組卷:4引用:6難度:0.5 -
2.All routes to STEM (science,technology,engineering and mathematics) degrees run through calculus (微積分) classes.Each year,thousands of college students take introductory calculus.But only a small number ultimately complete a STEM degree,and research about why students abandon such degrees suggests that traditional calculus courses are one of the reasons.With scientific understanding and innovation increasingly central to solving 21st-century problems,this loss of talent is something society can ill afford.
Math departments alone are unlikely to solve this dilemma.Several of the promising calculus reforms were spearheaded by professors outside of math departments.STEM faculty are prioritizing cooperation across disciplines to transform math classes to cultivate a diverse generation of STEM researchers and professionals.
This is not uncharted territory.In 2013,life sciences faculty at the University of California,Los Angeles,developed a two-course sequence that covers classic calculus topics,but also emphasizes their application in a biological context.Creating this course,Mathematics for Life Scientists,wasn't easy.The life sciences faculty involved,none of whom had a joint appointment with the math department,said they turned to designing the course themselves after math faculty rejected their request for cooperation.
In Ohio,Wright State University's Engineering departments also revised math offerings.Rather than changing the content of the calculus course,they focused on preparing students for calculus by emphasizing "engineering motivation for math." The approach enhanced opportunities for students with weaker math backgrounds to succeed in engineering and doubled the average graduation rate of engineering students without reducing the average grade of graduates.Math learning is fundamental to all STEM fields,but the opposite also appears to be true.
(1)What problem is mentioned in paragraph 1?
A.Increasing STEM dropout rate.
B.The reform of calculus courses.
C.Shrinking admission to STEM majors.
D.The shaken belief in the role of calculus.
(2)What does "spearheaded" in paragraph 2 probably mean?
A.challenged
B.evaluated
C.cancelled
D.initiated
(3)What do we know about the calculus course reform according to the text?
A.STEM departments made calculus content easier to improve students' grades.
B.Math departments sought cooperation with STEM counterparts to urge reforms.
C.Placing calculus learning in specific STEM contexts is a workable approach.
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(4)What does "the opposite" in the last paragraph refer to?
A.The STEM fields may be the foundation of other science subjects.
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C.Math learning may set barrier for science study in the STEM fields.
D.Math learning may make way for science study in the STEM fields.發(fā)布:2025/1/1 17:30:2組卷:23引用:3難度:0.5 -
3.I once thought that outer beauty is the only factor to become a great person.When I was young,I read many kinds of books,most of which described characters who are handsome or beautiful.So I think that being beautiful is the only way to become a success.
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A.Because she wanted to follow the example of her friend.
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C.Because she wanted to get higher scores in the job interviews.
D.Because the successful characters in the books she read were attractive.
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A.To show how beautiful her friend was.
B.To show how important outer beauty is.
C.To show the importance of inner beauty.
D.To show how terrible to be a beautiful girl.
(3)What does the underlined sentence in the third paragraph mean?
A.Surgery is becoming more and more popular.
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C.More people can afford the price of doing plastic surgery.
D.The living standard has been improved over the past years.
(4)Which of the following covers the passage best?
A.Inner beauty is the real beauty.
B.How do attractive persons become successful?
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D.Plastic surgery is the best way to make a person more beautiful.
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A.If you are too beautiful,all your friends will leave you out of envy.
B.If you have a good appearance,you must get higher scores in the job interviews.
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D.Those who have good appearances should also develop the beauty in their hearts.發(fā)布:2025/1/1 18:0:1組卷:12引用:2難度:0.6
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