内容正文:
SectionⅢ
Developing ideas Presenting ideas
基础认知自主学习
单词识记句型展示
I,重点单词
Ⅱ.重点短语
基础单词
1.
least
至少
1.
n.
奖,奖赏
2.deal
处理;对付:涉及:相
2.
冬
机会,时机
处;与…打交道
3.
n.
(一次)观看
3.graduate
毕业于
4.
adj.
从前的
sure
肯定地
2,
看到,看见
the end of
在…尽头:在…
6.
.
认为,以为
末端
2
V.
奋斗,拼搏
6.
the sight of
一看到…
8.
adv.
向前
7.go all
全力以赴,竭尽全力
9
U.
对…作评估,
particular
尤其,特别
评价
9.look back
回顾:回忆
10.
U.
交流(信息、想法等)
10.refer
参考,查阅
·拓展单词
11.come
an end结束
1
v.毕业→graduation n.毕业;
12.take
写下:记下:拆除
毕业典礼
13.run out
用尽:用完
2.frighten v.使惊吓:吓唬→
14.fall
从…上掉下来
adj.受惊的,害怕的→frightening adj.令人
15.look forward
(兴奋地)期待,盼望
恐惧的
Ⅲ.阅读词汇
3.
u.挑选,选择→selection n.
1.subscribe v.
选择
2.specific adj.
4.
n.细节adj.特定的,特指的
3.journal n.
→particularly adv.特殊地:特别地
4.junior adj.
5.
u.参考,查阅→reference n.
5.committee n.
指称关系:参考
V.重点句型
6.memory n.记忆力;回忆→memorial ad.j巧.纪
1.I feel
high school was only
念的.纪念物:纪念碑→
yesterday!
记住,熟记
我觉得高中生活就像昨天发生的事一样历
7.
u.改善,改进-→improvement
历在目!
n.改进;改善
2
8.perform v.表演;履行:执行一
to get to know the school and the
i.(工作或活动中的)表现→performer n.表
other students.
演者
这是新生了解学校和认识同学的绝好机会。
17
事高中英语·必修第一册(WY)
how did you deal with them?
5.So in physics class on Monday,I did the
在这种情况下,你是如何应对的呢?
same,but the teacher spoke
4.There's always a way
I couldn't take everything down.
you love,isn't there?
所以在周一的物理课上,我也这么做了,但
对于自己热爱的事情,总是有办法参与其中
是老师说得太快了,我不能把所有的东西都
的,不是吗?
记下来。
语篇精读合作探究
语段扣解文本判析
I.Scan the text and find out the main idea of
C.To tell us we should give our friends a
the text.
hand when they need it.
The passage is mainly about
D.To tell us how to make friends.
IlI.Fill in the blanks according to the text.
II.Read the text and choose the best answers.
Lisa Osborne 1.
(graduate)
1.What helped Lisa when she first started
from high school last June and is about 2.
high school?
(go)to college.Here she is going to
A.Her English teacher's advice.
share her 3.
(suggest)for high
B.Orientation Day.
school with us.She feels Orientation Day was
C.Her parents'support.
really 4.
(help)for her to know the
D.Her friends'encouragement.
school and others better and tells us to keep
2.What is NOT true about the Orientation
5.
open mind and take part as much
Day for Lisa?
as possible.She still remembered when she
A.Being useful for all the students.
was frightened 6.
the sight of the
B.Knowing the school better.
C.Making more friends.
chemistry test paper 7.
when she
D.Starting a new course.
wasn't selected for the volleyball competition.
3.How did Lisa feel about the chemistry test?
But she decided to go all out and work hard to
A.Helpful.
B.Better.
support 8.
(she)teammates.There
C.Scared.
D.Easy.
9
(be)always a way to be part of
4.Why did Lisa mention Maya Angelou?
something we love.The 10.
A.To tell us Maya Angelou is a great writer.
(important)advice she gives is "Try to be a
B.To tell us she likes Maya Angelou best.
rainbow in someone's cloud".
要点精研
讲练互动
师生互动迁移运用
[核心词汇
(1)graduate from
毕业于
graduate in
毕业于…专业
l,graduate,毕业
(2)graduate n.
毕业生
(3)graduation n.
毕业:获得学位
(教材P1l)Lisa graduated from our school
after graduation
毕业之后
last June and is about to go to college in
He graduated in physics from Cambridge
New York.
University.
莉萨今年六月从我校毕业,即将前往纽约上
大学。
他是剑桥大学物理学专业毕业的。
18
UNIT 1 A new start
I have determined on working as a volunteer
They frightened the old lady into taking out
teacher in the countryside after graduation.
her old vase.
我已决定毕业后到农村支教。
他们吓得那位老太太拿出了她的古花瓶。
[语境助记
It was a very frightening experience and upon
Lily was a graduate who graduated from
mentioning it,they still feel frightened now.
Beijing Normal University.She graduated in
那是一次非常可怕的经历,而且现在一提起
English.After graduation,she became a
那次经历,他们仍感到害怕。
[活学活用]
teacher in her hometown.
(1)单句语法填空
莉莉毕业于北京师范大学英语专业,毕业之
DNews of the robberies frightened many
后在家乡成了一名老师。
people into
(fit)new locks to their
[活学活用
doors.
(1)单句语法填空
2Travelling in an airplane can be a
①My sister graduated
history
frighten)experience for some
Wuhan University in 2017.
people.
②After
graduate)
3He threatened the strangers with a gun
from Oxford University,Tim went to work
and frightened them
at a science research centre in Sweden.
(2)单句写作
Several days later,when the video was
④不要害怕往前走,总有一些特别的东西在
played on the
graduate
等着我们。
ceremony,it was well received.
Don't
for
(2)单句写作
there is always something special waiting
④自从我们大学毕业以来,就没有机会面对
for us.
面地交谈了。
3.figure v.认为,以为
We haven't got a chance to have a face-to
(教材PIl)But then I figured I'd better just
face talk
go all out and see what happens.
不过接着我就觉得,最好还是全力以赴考
2.frightened adj.受惊的,害怕的
考看。
(1)figure out
理解:想出:计算出
(教材PIl)I was frightened at the sight of
(2)figure n.
人物:数字:身材
the test paper.
keep one's figure
保持体形
have a good figure
身村好
我看到试卷的时候好害怕。
Mary keeps her figure by working out
(1)be frightened at/by
因…害怕:被……吓杯了
every day.
be frightened of
害怕…
玛丽通过每天锻炼身体保持体形。
(2)frighten v.
使惊吓:使惊恐
frighten sb.into/out of doing sth.
I could hear them talking but I couldn't
吓得某人做/不敢做某事
figure out what they were saying.
frighten...away.'off
环跑
我能听见他们在说话,但就是听不清他们在
(3)frightening adj.
令人惊恐的:骏人的
说什么。
19
●高中英语·必修第一册(WY)
[活学活用]
[活学活用]
(1)单句语法填空
(1)单句语法填空
①I need to figure
how to get
①Careful site
select)is
around with this kind of limited range.
important to reduce the effect of human
(2)写出下列句子中figure的词性和词义
activities on the surrounding environment.
2As is known to all,Obama is a famous
2After a long walk,we selected a good
figure.
place
our camp.
I figure that you know more about the
③We selected him
(take)part in
MBA.
the English contest.
DThough in her forties,she still has a good
1Which place in the world would you select
figure.
your perfect home?
5He graduated from college and got a job,
(2)选词填空:select、choose
earning close to six figures
5Mother took a long time in
4.select.挑选,选择
a few hats for Mary,from which Mary
(教材P11)As a member of the school
one she liked best.
volleyball team,I wasn't selected for the
5.particular n,细节adj.特定的,特指的
end-of-year competition.
(教材Pl2)Is there anything else in
我是学校排球队的一员,可年终赛却没有选
particular that you'd like to share with us?
我参加。
你还有设有其他特别想和大家分享的事
(1)select...for...
为……挑选…
情呢?
select sb.to do sth.
远择某人做某事
(1)in particular
尤其:特别
select sb.fsth.as/1obe.挑选某人.某物作
(2)be particular about./over sth.对某事讲究/挑别
select.…from
从…中挑选…
(3)particularly adv.
尤其:特别地:特殊地
(2)selection n.
选择:速找
She has already tried her best.Please don't
The players selected from the whole country
be too particular about/over her job.
are expected to bring us honor in this
她已经尽了最大的努力。请不要对她的工
summer game.
作太挑剔了。
人们期待着从全国各地挑选出来的运动员
He loves novels very much,science fiction
能在今年夏季的赛事中给我们带来荣誉。
in particular.=He loves novels very much,
We selected him as/to be our monitor
particularly science fiction.
because he was very responsible.
他非常喜欢小说,尤其是科幻小说。
我们选他当我们的班长,因为他很负责任。
语境助记
易混辨析]
select/choose
Betty is very particular about food.However,
she likes the food cooked by her grandma in
强测在广泛的范围内进行“精选或淘汰”,
select
侧重以客观为标准进行选择。
particular.Actually her grandma is particularly
good at cooking.
普通用词,侧重根据个人意愿和判断从众
贝蒂对食物很挑别。然而,她特别喜欢吃她
choose
多的对象中进行选择,强调被选者的优
奶奶做的食物。实际上她的奶奶特别擅长
点。常与from和between连用.
做饭。
20
UNIT 1 A new start
[活学活用]
②The girl always
to the
(1)单句语法填空
books as her good friends and
①We are
particular)
helpers.(refer)
grateful to him for his timely help.
(2)写出下列句子中refer to的含义
2Among all the goods,I was interested in
We have reached an agreement that we
the cotton piece
particular.
will not refer to the matter again.
③She is so particular
her
He referred to a history book to find out
housework that servants will not work
when the French Revolution happened.
for her.
(2)单句写作
④四个季节我都喜欢,尤其喜欢春季。
5When I said some people were stupid,I
I like all the four seasons.
wasn't referring to you.
7.struggle v.奋斗,拼搏
6.refer to参考,查阅:提到,谈到:指的是
(教材P14)The teacher found I was
(教材Pl3)Refer to the interview for ideas..
struggling with note-taking and told me to
参考访谈了解想法。
stop and just listen.
(1)refer to...as...
把……称作+
老师发现我正在努力记笔记,让我停下
refer...to...
把……提交给…(以求获
得帮助)
来听。
(2)refer v.
参考,查阅
struggle for
为…而斗年
(3)reference n.
指称关系:参考
struggle with against sb.'sth.
与…作斗争
He always refers to himself as a student.
struggle to do sth.
努力做某事
他总是称自己是学生。
struggle to one's feet
挣扎着站起来
The textbooks and dictionaries can be used
Workers are struggling for a clean canteen
as reference books while the magazines serve
and healthy food.
as reading materials.
工人们正为干净的食堂和健康的食物而
课本和字典可以用作参考书而杂志可作为
斗争。
阅读材料。
He struggled against cancer for two years.
[名师点津
他同癌症抗争了两年。
refer to作“查阅”讲,后接词典或参考书等
[活学活用]
词:look up作“查阅”讲,后接被查找的
(1)单句语法填空
东西。
①We have to struggle
all
Don't always refer to the dictionary when
kinds of difficulties from home and abroad.
coming across new words.Only if a word is
②She's struggling
(raise)
very important can you look it up in your
a family on a very low income.
dictionary.
当竭到生词时不要总是查词典,只有当一个
③They had to struggle
their lives
单词非常重要时,你才可以在词典中查阅。
against weather and wild animals.
[活学活用
(2)单句写作
(1)单句语法填空
④一个坚强的人会与生活中的暴风雨作
DJohnson referred to the discovery
斗争。
a major breakthrough in medical science
A strong man will
yesterday.
storms of life.
21
》高中英语·必修第一册(WY)
8.look forward to(兴奋地)期待,盼望
[归纳拓展]
(教材P14)I'm looking forward to it!
if ever
如果有过/发生过的话
我很期待!
if any
如果有的请
if possible
如果有可能
look ahead (to sth.)
展望未来:为将来设想
if necessary
如果有必要
look down upon/on
视:轻榄:磨不起
If the steps you take are working,keep it
look up
拾头看:查间
look up to
尊散:仰视
up.If not,take another look at other
look into
调查:观察:窥礼
methods you could try.
look back on/at
同顾
look through
浏览:仔细查看
如果你采取的措施是有效的,那就坚持下
I often look up the words I don't know in
去。如果没有,看看其他你可以尝试的
the dictionary or on the Internet.
方法。
我常在字典里或网上查阅不认识的单词。
If possible,I'm going to visit some homes
The police looked into the case and said that
for the old in the city.
it was the driver's fault.
如果有可能的话,我将去探访市里的几家养
警察调查了这个案件,说这是司机的错。
老院。
[活学活用
[活学活用
(1)单句语法填空
(1)用省略形式改写下列句子
DHe stood up and looked forward
DIf it is necessary,you can turn to me for
(see)what was going on outside.
help at any time.
2The day that he had looked forward to
you can turn to me for
come)at last
help at any time.
③I look forward to
(hear)from
2Come tomorrow if it is possible.
you as soon as possible.
→Come tomorrow
(2)单句写作
(2)单句写作
④如果你自己都瞧不起自己,没有人会瞧得
③下周我可能外出。要是那样,我就见不到
起你。
你了。
Nobody will
you if you
I might be away next week.
yourself.
I won't be able to see you.
[重点句型]
2.s0…that.…如此……以至于…
1.ifs0如果是这样的话
(教材P14)So in physics class on Monday,I
(教材P11)lfso,how did you deal with
did the same,but the teacher spoke so fast
them?
that I couldn't take everything down.
在这种情况下,你是如何应对的呢?
所以在周一的物理课上,我也这么做了,但
[句式剖制析
是老师说得太快了,我不能把所有的东西都
fso为“if it is so”的省略形式,f为连词,so
记下来。
指代上文的内容,意为“如果是这样的话”,
[句式剖析]
表示肯定意义:如果表示否定意义,则用
句中s0…that…表示“如此…以至
if not.
于…”,其中that引导结果状语从句。
22
UNIT 1 A new start
[归纳拓展]
[活学活用]
(1)s0.that…常见句型:
(1)单句语法填空
soadj.adv.that...
so十adj,十a(n)十可数名词单数十that
①His plan was
a good one that
so+many/few/much/itle(少)十m.+that
we all agreed to accept it.
(2)such...that…地可表示“如此…以至于…”,
其基本结构为:
②Itis
good a film that I'd like to
5uch十(n)十adi.+可数名词单数十that
see it again.
such十ad5,十可数名词复数/不可数名词十that
③I have
little money that I can't
The teacher was telling us so interesting a
story that we all forgot the time.
afford the car.
-.The teacher was telling us such an interesting
④He made
rapid progress that
story that we all forgot the time.
the teacher praised him in our class.
老师在给我们讲一个如此有趣的故事,以至
(2)单句写作
于我们全都忘了时间。
⑤他说得如此快以至于我听不明白。
He made so many mistakes that he failed the
He spoke
I couldn't
exam.
follow him.
他出了这么多错,以至于考试没及格。
Writing
如何写英文日记
口文体指导
:3.正文
英文日记和中文日记一样,是用来记叙一
写日记不是记流水账,要抓住最有趣、
天中所发生的有意义的事情或对将来的打算
最有意义、最难忘的事情,并结合自己的体
等。日记可分为记叙、议论、描写及抒情等。
会写。
记叙类是记述当天自己生活、学习中发生的事
4.人称
情。议论类是对生活中的某一事情或情况现
由于日记的内容多为记叙自己的亲身
象谈自己的看法,发表议论。描写类或抒情
经历或抒发感慨,所以多用第一人称和第三
类,则是对某人物、某事物的特征作细致的描
人称。
述,或针对某事物抒发自己的感情。
5.顺序
1.格式
无论是哪种类型的日记,都应该注意写
一般是在右上角写上当天的日期、星期
作的顺序。记叙类的一定要交代好事情发
以及当天的天气情况,表示天气情况的词一
生的前后顺序,议论抒情类的一定要做到先
般是形容词,如:fine(晴朗的)、cold(寒冷
叙述,后议论。
的)、snowy(下雪)、sunny(阳光灿烂的)、
模板构建
rainy(下雨的)、cloudy(阴天的)等。
2.时态
[基本框架
写日记的时间一般是在下午、晚上,有
英文日记通常由书端和正文两个部分组
时也可以在第二天补写。因此,日记中所记
成。日记常以第一人称记下当天生活中的所
叙的事情通常发生在过去,常用一般过去
见、所闻、所做或所想的事情。书端是专门写
时:但当记叙天气、描写景色或展望未来时,
日记的日期、星期和天气的。右上角是日期和
可以用一般现在时或一般将来时。
星期以及当天的天气情况,如:Sunny、Fine、
23同步课堂讲义
UNIT 1 A new start
Section II
Using language
【美文欣赏·话题链接】一探究问题
【基础认知
自主学习】
1.He was not familiar with the new surroundings.
I.重点单词一基础单词
2.He felt relaxed/better.
1.poster 2.drama 3.band 4.debate 5.stage
Section I
Starting out Understanding ideas
6.inner
7.topic
8.volunteer 9.gain
10.schedule
【基础认知自主学习】
拓展单词
1.argue 2.sharp 3.intelligent
【,重点单词一基础单词
4.investigate
5.various 6.apply
1.senior 2.campus 3.moment 4.author 5.calm
Ⅱ.重点短语
拓展单词
I.fit/healthy 2.along 3.in 4.as 5.about 6.a
1.curious 2.impression 3.tradition 4.eagerness
7.to 8.up 9.a 10.out
5.explore 6.collection 7.organise 8.breathe
Ⅲ.重点句型
9.pressure 10.description 11.confident
1.not only:but also 2.To help them do this
Ⅱ,重点短语
3.if necessary
1.from 2.with 3.again 4.up 5.out 6.by 7.on
【要点精研讲练互动】一核心词汇
8.a 9.to 10,in 11.in 12,under 13.on 14.of
15.0ut
L,活学话用①going②with:about/over
③argument
Ⅲ,阅读词汇
Oto argue the peasants into believing
1.设施2.发动机,引擎3昆虫4.惊恐,惊慌
2.活学活用①varying②from:to③various
5.挑战
various/a variety of/varieties of
3.话学话用①for②to help③voluntary
④volunteer
N,重点句型
1.was looking:when 2.Turning around 3.what life is
to take part in
going to be like here 4.How true 5.too nervous to pay
4.活学活用①working②to③application④to apply
for the position
attention
【语篇精读合作探究】一整体理解
5.活学活用Dfor②on③to take④ahead of schedule
重点句型
I.1-5 BADCG 6-8 HEF
活学活用①but②are③does④was the teacher
Ⅱ.1-4ACCB
lll.1.woke 2.excited 3.ourselves 4.to pay
strict with us
5.impression 6.Hearing 7.relaxed 8.under 9.what
Grammar-一简单句的基本句型结构
10.the
教材示例
【要点精研讲练互动】一核心词汇
1.quiet 2.man 3.me 4.deeply 5.more relaxed
L.活学活用①to know②curiosity③curiously
④to
要点突破
be curious about
对点训练1门
2.话学话用①impression②hy/at/with③impressive
①宾语②宾语补足语③定语④谓语⑤③表语
Dimpressed the importance of reading on me
[对点训练2]
Simpressed me with the importance of reading
①S+P②S+V+O+A③S+V+O+C
3.话学活用①explorer②exploration③to explore the
即学活用
history of the castle
I.1.S+V+10+D02.S+V+0+C3.S+V+A
4.活学活用①organisation:organises:organised②has
4.S+V+P5.S+V+0+A
organised a drama club
II.1.There is much rice in the bag
5.话学话用①of②breathe③took a deep breath:held
2.We played happily together last Sunday
his breath
3.The boys must look after their things
6.活学活用①to leave
②under③Pressed
④to
4.I will bring you the book next time
reduce pressure
5.I want to take the heavy box to the room
7.活学活用①down
②himself
③calm:still:
Section IlI Developing ideas Presenting ideas
quiet:silent
【基础认知自主学习】
8.活学活用①with②confidently③confidence④has
【,重点单词一基础单词
confidence in is confident about 6 is confident
I.award 2.opportunity 3.view 4.former 5.sight
of passing
6.figure 7.struggle 8.forward 9.rate 10.exchange
重点句型
拓展单词
L.话学活用①when②was driving③to slide④was
1.graduate 2.frightened 3.select 4.particular
walking in the street when
5.refer 6.memorise 7.improve 8.performance
2.活学活用①What②What③How④lovely a day
Ⅱ,重点短语
⑤a lovely day
1.at 2.with 3.from 4.for 5.at 6.at 7.out 8.in
3.话学活用①to persuade②tosy③to dress himself
9.on 10.to 11.to 12.down 13.of 14.off 15.to
Ⅲ.阅读词汇
lies at the foot of a mountain where there is natural
1.订阅(报纸或杂志)2.具体的,特定的3.日记,日志
scenery all around.The buildings all have a strong British
4.低年级的5.委员会
style.My classmates are so friendly that they make me
W,重点句型
less homesick.Although I have difficulty communicating
1.as if 2.It's a fantastic opportunity for new students
with them.they always try their best to make themselves
3.If so 4.to be part of something 5.so fast that
understood.
【语篇精读合作探究】
I think I'll spend this period of studying here happily
I.Lisa's advice about high school
and I can surely benefit much.
Ⅱ.1一4BBCC
[跟踪训练]
lll.1.graduated 2.to go 3.suggestions 4.helpful
参考范文
5.an 6.at 7.and 8.her 9.is 10.most important
Thursday 3 September
【要点精研讲练互动】一核心词汇
Before the first day of high school life,thinking of
L.活学活用①im:from②graduating/graduation
the new environment,I felt a bit excited.
graduation Dever since we graduated from university
I was enjoying the new campus when someone talked
2.话学活用①fitting②frightening③away/of①be
to me.Turning around in panic.I saw it was my former
frightened of going ahead
classmate in primary school,Li Zheng.He told me we
3.活学活用①ou1②n.人物③u.认为
①n.身材
would face more challenges and pressure than before.
⑤n.数字
How impressive his words were!Keep calm and be well
4.活学活用①selection②for③to take④as
prepared for my future.Being able to recognize the new
selecting:chose
students and teachers is my greatest gain.
5.活学活用①particularly②in③about/over
Similarly.I will also face many difficulties one by
Oparticularly spring/spring in particular
one.I might have difficulties in learning and getting along
6.活学活用①as②refers:reference③提到④查阅
with classmates.However,I will make the most of the
⑤指的是
three years in high school.
7.活学活用①against/with
②to raise③for
UNIT 2 Exploring English
4struggle with/against
【美文欣赏·话题链接】—探究问题
8.活学活用①to see②came
③hearing④look up to:
1.The history of the English language.
look down on/upon
2.Vocabulary.
重点句型
Section I Starting out Understanding ideas
L.活学活用①If necessary②if possible③1fso
【基础认知
自主学习】
2.活学活用①such②so③so①such
⑤so quickly
【,重点单词一基础单词
fast that
I.title 2.unique 3.alarm
Writing-
如何写英文日记
拓展单词
典题示例
1.sculpt:sculpture 2.opposing 3.behavior
词汇推敲
4.confusing 5.reflect
6.creative:creativity
7.visible
1.an exchange student 2.be away from 3.homesick
Ⅱ.重点短语
4.get used to
5.campus 6.lie/locate
7.at the foot of
1.to 2.doing
3.nor 4.for 5.up 6.down 7.in/out
a mountain 8.communicate with
8.off 9.up 10.in
[造词造句]
Ⅲ.重点句型
①has passed②as an exchange student③For the first
1.whether there was ham in a hamburger 2.Neither is
time at the foot of a mountain 5natural scenery
3.While we're doing all this traveling 4.once it goes off
⑥very friendly⑦less homesick
5.That is why
句式升级]
【语篇精读合作探究】
一整体理解
1.One week has passed since I came to this school as an
I.1-3 CAB
exchange student.
Ⅱ.1-4CADB
2.It is the first time that I have been away from my
Il.1.learning 2.in 3.and 4.thinking 5.painting
parents alone.
6.the
7.is raining
8.confusing
9.madness
3.The campus lies at the foot of a mountain where there is
10.reflects
natural scenery all around.
【要点精研讲练互动】一核心词汇
4.My classmates are so friendly that they make me less
L,话学活用①with②in③sleeping①whenever you
homesick.
have trouble with your study/have trouble/difficulty
[妙笔成篇]
in studying
参考范文
2,话学活用Dbehaviour②himself③to/towards
Thursday 2 September
④behave well/himself
One week has passed since I came to this school as an
3.话学话用①and/with②confusing③confusion
exchange student.
Confused with the present situation
It is the first time that I have been away from my
4.活学话用①alarming②alarmed③Be sure to sound/
parents alone,so I felt homesick the moment I arrived in
raise the alarm
England.However,I soon got used to the new environment,I
5,活学活用①reflecting
②reflection③to reflect on
have much to express about my new school.The campus
upon the problem