内容正文:
郑州外国语学校2026-2027学年高三上期第二次调研考试试卷
英语
(120分钟150分)
第一部分听力(共两节,满分30分)
第一节(共5小题:每小题1.5分,满分7.5分)
听下面5段对话。每段对话后有一个小题,从题中所给的A、B、C三个选项
中选出最佳选项。听完每段对话后,你都有10秒钟的时间来回答有关小题和阅读
下一小题。每段对话读两遍。
1.What will the speakers do next?
A.Build a nest for the bird.
B.Wait for the parent birds.
C.Treat the injured bird.
2.What does the woman advisr the man to do?
A.Present his paper idea to Prof.Lee.
B.Choose French literature this term.
C.Sign up for Prof.Smith's class.
3.Why is Tom late.
A.He woke up late
B.The subway was delayed.
C.He missed the first bus
4.How does the woman view the man's career development?
A.It's dynamic.
B.It's stable
C.It's unpredictable.
5.What benefit can the man get from doing puzzles?
A.Managing his time oetter.
B.Improving his evesight.
C.Keeping his mind sharp.
第二节(共15小题;每小题1.5分,满分22.5分)
听下面5段对话或独白。每段对话或独白后有几个小题,从题中所给的A、B、C
三个选项中选出最佳选项。听每段对话或独白前,你将有时间阅读各个小题,每小题5
秒钟;听完后,各小题将给出5秒钟的作答时间。每段录音读两遍。
听下面一段对话,回答第6至7小题。
6.What percentage of the woman's monthly income gees to entertainment?
A.20%.
B.30%.
C.506.
7.What will the man do?
'A.Create his budget plan.
B.Ouit buying sports shoea.
C.Open a savings account.
听下面一段对话,回答第8至10小题。
8.Who is the man?
A.A teacher
B.A doctor
C.A fitness coach.
9.What keeps the woman from exercising?
A.Lack of interest.
B.Fear of injury.
C.Lack of time.
10:What does the man suggest the woman do?
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A.Find a workout partner in the gym.
B.Incorporate exercise into her daily routine.
C.Get some professional fitness equipment.
听下面一段对话,回答第11至13小题。
11.Why was Luisa Yu given the award?
A.She was popular on social media as a travel blogger.
B.Her travel experiences have inspired many people.
C.She has travelled to the most places in the world
12 When did Luisa Yu finish her visits to alk the UN countrics?
A.In2021
B.In2022
C.[n2023.
13.What did Luisa Yu do t Serbia?
A.She went skydiving.B.She learnt a local song
C She enjoyed a surprise party.
听下面一段对话,回答第14至17小题。
14.What did the woman see robots do in Shenzhen?
A.Run a marathon.
B.Sweep the streets.
C.Perform a dance.
15.What extra service does the robot 6S store offer compared to the 4S store?
A.Rental service
B.After-sales service..
C.Customer feedback service.
16 What does the man say about the World Robot Contest?
A.It has global influence and involvement.
B.It's for university students majoring in AI
C.It is held every four years in different countries.
17.Where will the woman compete next?
A.In Shenzhen.
B.In Zhengzhou.
C.In Sanya.
听下面一段独白,回答第18至20小题。
18.What is the main purpose of KSES?
A.To promote elephant tourism in Thailand
B.To improve the living standards of elephants.
C.To provide formal training for elephant keepers.
19.What rule must volunteers follow?
A.Feed elephants at fixed times.
B.Keep elephants in protected areas.
C.Maintain a distance from elephants.
20.What will the speaker probably talk about next?
A.Her village life with the locals.
B.Ways to register for KSES.
C.Her weekly work schedule.
第二部分阅读理解(共两节,满分50分)
第一节(共15小题;每小题2.5分,满分37.5分)
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阅读下列短文,从每题所给的A、B、C和D四个选项中,选出最佳选项。
BC Place Stadium Guide
Vancouver is world-renowned for its natural beauty and mountain landscapes.The city has
a bustling art,theatre and music scene,but also loves its sports--BC Place Stadium is one of the
premiere(首次公演)sports venues in the area..
BC Place Stadium is the home venue for the BC Lions of the Canadian Football League
and Major League Soccer's Vancouver Whitecaps FC.In recent years,the stadium has hosted
some of the world's biggest sports events,including the 2010 Winter Olympics,the 2015 FIFA
Women's World Cup Championship Match,the 2021 North American Hockey Tournaments
and multiple knockout stage matches during the 2026 FIFA World Cup.
BC Place Stadium parking options and cost
There are plenty of public parking options around BC Place Stadium.You can purchase
parking passes in advance for events at BC Place Stadium online,which helps to avoid higher
parking rates on site.
Parking around BC Place Stadium can cost anywhere between $10 and $30 on event days,
depending on the type of parking and location.
Other important information
BC Place Stadium uses mobile tickets for all events.Guests must display their passes on
their mobile phones in order to enter.Screenshots and printouts of the ticket will not be
scanned or accepted.
Re-entry is not allowed at BC Place Stadium under any circumstances.Tickets are good
for one-time entry to games and events only.
You can't bring outside food and drinks into BC Place Stadium.The stadium will only
allow one empty water bottle per person into the venue.All guests are prohibited from smoking.
And electronic cigarettes are not allowed in either.It adopts a no-pet policy.
21.Which sports event was held in BC Place Stadium?
A.The 2026 FIFA World Cup Final.
B.The 2010 Summer Olympic Games.
C.The 2021 World Hockey Tournaments.D.The 2015 FIFA Women's World Cup Final.
22.How can you reduce your parking rate at BC Place Stadium?
A.Choose a parking location.
B.Reach parking lots in advance.
C.Purchase parking passes on site.
D.Display passes on the phones.
23.What oan be taken into the BC Place Stadium?
A.E-cigarettes.
B.Smartphones.C.A full bottle.
D.A pet dog.
B
This weekend I had the pleasure of seeing the Latvian animated film Flow in the theater.
I'd never heard of it,but all of the other options were sequels (or Christmas movies.
Flow had a great trailer(预告片),excellent reviews,.and won many awards..I was told.
..It is about the adventures of a black cat,a yellow dog,and several other animals that
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band together to survive a catastrophic flood.There are no people in the film.In fact,there is.
no dialogue at all in the hour and a half.
You would think that a movie without any human characters or dialogue would be
boring.Well,Flow is anything BUT.On the contrary,I was often on the edge of my seat,
terrified for the danger these little guys faced.They're constantly escaping enemies and rising
water.Eventually,our black cat finds himself in a new land.At the start of the movie he is
alone,but by the end he is surrounded by new friends.
What,if anything,does this movie "mean"?Clearly,one of the basic themes is unity-
different species that initially don't get along eventually learn to help each other survive.But I
think the fact that humans are completely absent seems intentional.The animals pass through
run-down,abandoned towns,implying that humanity may have been wiped out by a disaster.
Combined with the flood,this suggests a metaphor about climate change and sea level rise The
movie's metaphors are subtle:water is an ever-present symbol in the film,and it is constantly
flowing forward,pushing the action and our characters.With the title literally named Flow,
temporariness seems to be the main message:things constantly changing,the world moves on.
We often can't control storms of life.What we can control are our own actions.You can choose
to fight the current or go with it and make the best of what you find down river.
Or it could mean something else completely different to you!Like the best poems,this
movie is open to multiple interpretations.
24.What initially motivated the author to watch the filn.Flow?
A.Recommendations from strangers.
B.Curiosity about an unknown movie.
C.Its unique theme concerning animals.
D.Its positive reception and many awards.
25.Which of the following is a distinctive feature of Flow?
A.It involves more than human characters.B.It contains no spoken dialogue.
C.It is a short animation within 90 minutes.D.It is primarily a Christmas-themed story.
26 In the author's opinion,what does humans'absence from the film imply?
A.The unpredictability of life
B.The difficulty of survival.
C.The loss of humanity.
D.The unity of diverse species.
27.Where is the text probably from?
A.An entertainment website.
B.An eco-tour journal.
C.An editorial on global warming.
D.A textbook on animation.
C
A"memory breakdown"is often said.to be the major cognitive problem of our time.In a
recent.piece in The Chronicle Review,Daniel Mercer argued that "students can't remember
even simple facts without checking their phones",and many schools have quietly lowered
expectations for memorizing dates,formulas and vocabulary.
Yet complaints about weak memory are hardly new.In the late 19th century,British
educator Henry Latham blamed that cheap printed books would destroy students'power to
remember,because they no longer needed to keep long passages in their heads:Over the
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decades,similar denunciations have returned each time a new tool has entered classrooms.
Mercer suggests that rather than a simple loss of ability,we may be seeing a shift in how
people choose to use their memory.Many students now treat their phones as an "external
brain",much as earlier generations treated the family bookshelf.At the same time,the use of
digital calendars,search engines and cloud storage continue to rise.This points to a change not
in whether people can remember,but in what they believe is worth remembering."Students can
still memorize,"Mercer wrote."They're just deciding to memorize different things."
This leads to a deeper question:What kind of memory do we truly need,and why?
Psychologists often distinguish between recall--producing information with no help--and
recognition,which is using clues to find what we once knew.In classic "change blindness"
experiments,people fail to notice that a stranger they are speaking to has been secretiy replaced
by another person,because their attention is on the task,not the face.It shows that relying on
externai cues (and context is not always a weakness;it may reflect a different way of
managing limited mental resources.
Could today's young people be developing useful memory strategies that we have not yet
learned to value?What about their skill at searching huge databases in seconds,or at linking
ideas across videos,chats and online documents?These new habits of remembering challenge
us to reconsider--with the history of past "memory breakdown"in mind--how we might
understand and support human memory in more flexible,forward-looking ways.
28.What does the underlined word"denunciations"in paragraph 2 mean?
A.Origins.
B.Reminders.
C.Indicators
D.Criticism
29.Whatidoes the growing use of digital tools suggest according to Mercer?
A.People are changing the way they use their memory.
B.People ne longor need to train their memory.
C.Schools are forcing students to rely on external devices.
D.Modern technology is destroying traditional learning tools
30 Why does the author mention the "change blindness"experiments?
A.To display that people are easily fooled by visual tricks.
B.To prove that using outside cues can be a reasonable strategy.
C.To demonstrate that face recognition is.more important than tasks.
D.To illustrate that most memories are formed without our awareness
31.What will probably be discussed next?
A.Challenges facing the young generation.
B.More valuable lessons taught by history.
C.Ways to support memory in the digital age.
D.Effects of relying on external memory tools.
D
A team of psychologists from the University of Chicago conducted an experiment to
compare the effects of natural sounds and common white noise on people's sustained attention.
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In the study,212 adult participants were randomly divided into two groups.The nature
sound group completed a 40-minute attention task with recordings of forest birdsong and
gentle rainfall playing in the background.The control group performed the same task with
standard white noise--a steady,uniform sound widely used in workplaces to reduce
surrounding distractions.The task required participants to monitor a stream of numbers on a
screen and press a button whenever a specific rare pattern appeared.Both accuracy and
reaction speed were recorded as key measures of attention performance.
Overall,the nature sound group scored 12%higher on average in attention accuracy than
the control group,with no significant difference in reaction speed between the two groups.
When researchers divided participants by their self-reported daily distractibility,the
performance gap grew much wider.Among people who often struggled to stay focused in daily
life.those in the nature sound group performed over 21%better than similar participants in the
control group.For those with naturally strong concentration,the improvement was small and
not statistically meaningful.
The researchers also tracked participants'mood states before and after the task.Both
groups reported similar levels of relaxation and positive feelings after finishing the test.This
result indicated that the attention improvement was not driven by a better mood,but by the
natural sounds themselves,which help the brain enter a gentle state of focus without requiring
extra mental effort.
"Many people turn on white noise when they need to concentrate,assuming it is the most
reliable choice,"said Dr.Lena Marlow,lead researcher of the study."But our findings suggest
natural sounds are a more effective option,especially for those who struggle with distraction.
Small adjustments to our daily sound environment can bring noticeable improvements to work
and stdy efficiency.”
32.What :s a feature of he nature sound group in the experiment?
A.They finished a shorter version of the task.
B.They worked with natural sound recordings
C.They were tested only on reactiun speed.
D.They were chosen from office workers.
33.Which group showed the most obvious performance mmprovement?
A.The nature sound group with strong natural focus.
B.The control group with strong natural focus.
C.The nature sound group with high daily distractibility.
D.The control group with high daily distractibility.
34.Why did the researchers measure participants'mood states?
A.To rule out mood as the cause of the results.
B.To judge how relaxing different sounds are.
C.To test the influence of the task on feelings.
D.To measure the mental effort of the task.
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35.What may be the best title for the passage?
A.Mood Changes Influence People's Attention Performance
B.White Noise Works Well in Reducing Surrounding Distractions
C.Natural Sounds Beat White Noise for Sustained Attention
D.Attention Tasks Test Adults'Reaction Speed
第二节(共5小题:每小题2.5分,满分12.5分)
阅读下面短文,从短文后的选项中选出可以填入空白处的最佳选项。选项中
有两项为多余选项。
Nowadays,staying positive has become a popular mindser 36 But what
happens when we take positivity to an extreme?Could being blindly optimistic lead to
disappointment?While looking on the bright side is generaliy seen as a virtue,new research
suggests that"toxic positivity"might actually harm our mental health.
Toxic positivity occurs when people deny their real emotions and force themselves to
stay optimistic.Gitanjali Trevorrow-Seymour,a professional coach,explains that humans are
naturally meant to experience a wide range of emotions,from joy and gratitude to sadness
and disappointment.37,Like many things in life,mental wellbeing is all about
balance.The danger lies in labeling feelings as"good"or"bad".When we desperately avoid
"negative"emotions,we end up suppressing our real feelings.This suppression places extra
stress on the body,which can eventually lead to anxiety or even physical illness
38 If we only show our "happy"selves,our social interactions can become
shallow and inauthentic.When a friend is going through hard times,responding with "Try to
be positive!"may be well-intentioned,but it often dismisses their feelings.Instead of feeling
comforted,they may feel forced to put on a brave face,which is mentally exhausting.True
support involves acknowledging their pain rather than attempting to fix it immediately.
39 It is OK to feel upset,frustrated or heart-broken when things go wrong.
Our painful teelings carry important messages about what matters to us.Ignoring them
means we lose chances to know ourselves better.
So,should we avoid positive affirmations entirely?Not necessarily.40 The
key is to accept the full range of human experience rather than bury hard feelings under false
cheerfulness.
A.It also damages our connections with other people.
B.We should permit ourselves to feel bad from time to time
C.No single feeling should occupy our mind non-stop.
D.People are often told to push away unpleasant feelings.
E.Many social media posts advocate this optimistic attitude.
F.We can still seek hope without refusing our true inner state.
G.It is harmful to share our negative feelings with our friends.
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第三部分语言知识运用(共2节,满分30分)
第一节(共15小题;每小题1分,满分15分)
阅读下面短文,从短文后各题所给的A、B、C和D四个选项中,选出可以
填入空白处的最佳选项。
My grandpa kept an old wooden toolbox in his garage.Its surface was scratched,and its
metal lock no longer 41 perfectly.As a boy,I would open it and admire the shiny new
tools he bought,while 42 the worn,bent ones resting in the corner.Those old pieces
looked useless,and I often wondered why grandpa never43them away.
"Why keep broken tools?"I asked him one afternoon.He sat down beside me and ran his
fingers across the 44 marks on the box."Every mark tells a story,"he said gently."A
tool doesn't lose its value just because it gets45"
I did not truly grasp his words until my senior year of high school.Pressured by endless
exams,I pushed myself to be 46 in every subject.Whenever I failed to meet my own
standards,I felt broken,just like those bent tools.I 47my weaknesses and tried hard to
hide my mistakes from classmates.My chest would 48 whenever I received
unsatisfying scores.I wanted only my "shiny side"to be seen by others
One rainy weekend,I visited grandpa again.Staring at that familiar toolbox,memories
49 back.I thought about how I treated myself:I wished to throw away my imperfect
parts,as if they had no 50 at all.Grandpa noticed my long silence."Even a bent
screwdriver can still do some work,"he reminded me."It may not look 51,but it still
serves its purpose.”
His words 52 me deeply.Perfection was not the requirement for being worthwhile.
My failures and flaws were not something to 53or hide.They were marks from growth,
just like the scratches on grandpa's old box.
That evening,I sat at my desk.Instead of feeling 54 about my weaknesses,I began
to accept them.I realized I did not need to stay polished and flawless all the time.True strength
comes not from being without cracks,but from55 all parts of yourself.
41.A.worked
B.opened
C.locked
D.fit
42.
A.valuing
B.ignoring
C.repairing
D.testing
43.
A.gave
B.took
C.threw
D.cleared
44.
A.fresh
B.bright
C.faint
D.scratched
5.
A.old
B.heavy
C.rusty
D.bent
+6.
A.popular
B.perfect
C.confident
D.calm
7
A.hated
B.treasured
C.showed
D.explored
48.
A.relax
B.expand
C.tighten
D.ache
9.
A.came
B.went
C.turned
D.flooded
0.
A.cost
B.value
C.function
D.chance
1.
A.expensive
B.pretty
C.practical
D.powerful
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52.
A.amused
B.shocked
C.touched
D.puzzled
63.
A.admit
B.avoid
C.discover
D.observe
54.
A.hopeful
B.curious
C.guilty
D.careful
55.
A.accepting
B.changing
C.removing
D.forgetting
第二节(共10小题;每小题1.5分,满分15分)
阅读下面短文,在空白处填入1个适当的单词或括号内单词的正确形式。
Traditional Chinese medicine (TCM)is a time-honored treasure of Chinese civilization,
with a history of thousands of years of medical practice.With its special overall method of
medical treatment and disease prevention,it serves global public health in 56 unique
way.
In recent years,TCM has won increasing international recognition worldwide.It has been
spread to nearly 200 countries and regions,57bring)safe,cheap and effective new
medical choices to local people.2019 marked a milestone year 58TCM was officially
included in the global medical system hy the WHO.Up to now,over 100 TCM-related
standards 59(introduce)worldwide to standardize clinical practice and medical
services.
To better meet global medical standards,medical workers are giving up old-fashioned
treatment methods and attaching great 60(significant)to standardized modern medical
treatment.At present,many young medical workers devote themselves to TCM international
communication and promotion,which makes them highly 61 qup)for global
medical publicity work.Experts say that professional talent training is 62
(vital)
important for TCM's long-term global development.Compared with Western medicine,TCM
provides much 63(gentle)treatment for long-term illnesses with fewer side effects.
TCM keeps traditional valuable theories,develops modern new techniques 64 promotes
global medical communication continuously.With constant improvement and reform,TCM
continues to shine 65the global healthcare industry
第四部分写作(共两节,满分40分)
第一节(满分15分)
假定你是李华,学校英语报以The Key to a Happy Family'”为题针对家庭亲子关系面
向学生进行征文。请你写一篇征文稿,内容包括:
1你的理解;
2.你的建议。
注意:1.写作词数应为80左右:
2.请按如下格式作答。
The Key to a Happy Family
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第二节(满分25分)
阅读下面材料,根据其内容和所给段落开头语续写两段,使之构成一篇完整的短文。
Even before I reached the tent,I knew there would be trouble.My little brother Andy was
following me,with a sleeping bag,a flashlight,and his toy bear.My friends Wade and Brad
thought Andy would ruin everything.He would get scared in the middle of the night and have
to be taken back to the house.Their complaint continued.
Andy promised that he wouldn't ruin anything.He wormed his way into the tent and
settled in the far corner.Night was settling in,too,with the woods around us fading toward
black.The house,with its porch light on,seemed a long way from us.
"Time for ghost stories,"Brad announced as soon as I closed the tent.He told a story about
vampires,but it only made us fall over laughing.When it was Wade's turn,he told a story of
three guys who were camping in a tent.He described our situation exactly--except for Andy
When he was describing a scary creature,somewhere outside,a branch broke.The hairs on my
arms shot straight up."These guys were crawling into their sleeping bags,right?"Wade
continued."Just then a terrible cry came out of the darkness."And out of the woods behind us
was a cry,loud,frightening,and strange.The hairs on my head shot straight up too.
"What was that?"Brad asked as the cry came again.We all looked at each other in horror,
speechless.Wade suggested someone should go out to check,but no one dared."What if it's
something trapped or hurt?"Andy said anxiously.We focused our flashlights on Andy,whom
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we'd forgotten,sitting in the corner with his arms around his bear.Andy would adopt every lost
or hurt animal in the world if Mom would let him.
注意:
(1)续写词数应为150个左右;
(2)请按照如下格式在答题卡的相应位置作答。
"I'm going to see."Andy ran out of the tent and disappeared in the darkness.
Andy said it was a baby monkey caught between the branches,and it was crying for its
mother.
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百3亿人都在用的扫描ApP(2)设g(x)=f(x+1)=(x+1)n(x+1)+asinx,
若对任意的xe(0,π),g(x)>0恒成立,则(x+I)n(x+1)+asinx>0恒成立,
g'(x)=1+In(x+1)+acosx,
设()=g'(),则h0)=1
+1
-asinx(x∈(0,π》,且有g(0)=0,g'(0)=1+a,
()当a<-1,x∈(0,π)时,h(x)>0,则g'(x)单调递增,g'(0)=1+a<0,
又g宁=1+b号+)+acos号>0,则必然存在-个6∈(0,孕,使得g,)=0,
2
且有x∈(0,x)时g'(x)<0,g(x)单调递减:x∈(x。,π)时,g'(x)>0,g(x)单调递增,
此时,g()<g(O)=0不满足g(x)>0恒成立:
(ii)当-1,a<0,,x∈(0,π)时,h(x)>0,则g(x)=h(x)单调递增,g(x)>g'(0)=1+a.0,
所以8(x)在(0,π)单调递增,所以g(x)>g(0)=0,所以g(x)>0恒成立:
(i))当a.0,x∈(0,π)时,显然g(x)中(x+1)n(x+1)>0,asinx..0则g(x)>0恒成立:
综上所述,a的取值范围是[-1,+o):
(3)证明:由(2)中结论,
有当a.-1时,(x+1)n(x+1)+asinx>0,对任意的x∈(0,π)恒成立,
取a=-1可得,(x+1)n(x+1)-sinx>0,对任意的x∈(0,x)恒成立,
即对任意的xe(Q,),(Gc+1)bm(x+1)>sinx,变形可得】sinx<mx+),
x+1
2sin.....sin)
n
1
3
21
n+l n
累加可得inl+子sin…+s<+nt…+n
2
3
=ln(n+1),证毕
32
n+1
2
n
英语参考答案
-、听力:BACAC BAAAB BCCBA ACBCA
二、阅读:A篇:DABB篇:DBCA C篇DABC D篇:BCAC
七选五:ECABF
三、完形填空:ABCDD BACDB BCBCA
语法填空:
56.a
57.bringing
58.when
59.have been introduced
60.significance
61.equipped 62.vitally
63.gentler/more gentle
64.and
65.in
第一节参考范文
The Key to a Happy Family
The key to a happy family lies in mutual understanding,respect and effective communication.Family members
should listen to each other sincerely and support one another unconditionally.
To build such a family,we can set regular family time like shared dinners or weekend activities to strengthen bonds.
Besides,learning to appreciate each other and resolve conflicts with patience is vital.Parents should set a good example to
create a loving environment where everyone feels valued.
In short,a happy family is built through constant efforts and love from all members
第二节参考范文
11
"I'm going to see."Andy ran out of the tent and disappeared in the darkness.A wave of panic washed over me the
moment he faded into the woods.Without hesitation,I sprinted after him,my heart stuck in my throat.Cold night wind
whistled through the woods,and the sharp,sorrowful cry floated from afar.Tracking the wavering beam from Andy's
flashlight,I found him rooted under a huge tree.I directed my flashlight upwards,only to find a helpless little creature
behind leaves,letting out piercing cries out of terror.
Andy said it was a baby monkey caught between the branches,and it was crying for its mother.Eyes filled with pity,
Andy turned to me,pleading that we should set it free.We called over Wade and Brad,who finally gathered up courage to
join our rescue.With joint efforts,we carefully brought the frightened baby monkey safely down.Soon,its mother
emerged from nowhere.The little monkey leaped excitedly into its mother's arms.As they disappeared into the dark forest,
it struck me that true bravery lies not in being fearless,but in daring to reach out with kindness even when you tremble
with fear.
物理参考答案
1-10
D
B
D
CD
ACD
ACD
1
11.(1)平衡摩擦力(2)
2nmog(3
d21
m+20mo
2s427
(4)正比(5)B12.(1)D
(2)mg-Pg'%(3)po
kogv
13.(1)
3
(2)F=3mg
,F3=mg
V 3
(1)计此时绳中弹力为F,运动速度为v
2
对小球受力分析有Fsin30°=m
R
Fcos30°=mg联立求解得v=
3
gR
(2)计此时绳中弹力分别为耳和F2,对小球受力分析有
Fsin30°+F2sin60°=m
3)2
R
Fcos30°-F,cos60°=mg联立求解得R=V3mg,F=mg
4.av-=2:回R,=2mg会-)e间h-2R
2
a机横能守恒me%,一=方m棉箱必=2g叭
2减拔能守恒mgh-R)=交m%牛顿第二定律R,="m
1
解得F=2mg(
R
R
(3)与墙面垂直碰撞后原路返回,在进入G之前是平抛运动v,1=V,
其中y=6sin0,y,=%c0s0,则%si血0hos9=d得,=2gR
12