问题 选择题
函数y=sinα+cosα(0<α<
π
2
)的值域为(  )
A.(0,1)B.(-1,1)C.(1,
2
]
D.(-1,
2
答案

y═sinα+cosα=

2
sin(α+
π
4
),

∵0<α<

π
2
,∴
π
4
<α+
π
4
4

2
2
<sin(α+
π
4
)≤1,

则函数的值域为(1,

2
].

故选C

阅读理解与欣赏

阅读《成熟的稻谷会弯腰》一文,回答后面问题。(10分)

①电视节目主持人李咏在接受媒体记者采访时,谈到自己婚姻幸福的秘诀。他说:“夫妻之间难免会因为争吵失和,我每次吵架后总是首先向妻子认错。”记者问道:“如此一来,您不觉得很没面子吗?”李咏笑呵呵地说:“成熟的稻谷才会弯腰。”

②成熟的稻谷才会弯腰,这是一句多么朴素而深刻的哲言。成熟的稻谷之所以会弯腰,是因为它经过默默地孕育已经结出成熟的果实。遗憾的是,现实生活中不少人忽视了这个道理。难怪孟买佛学院将弯腰作为学生入学的第一课。

③孟买佛学院是印度最著名的佛学院之一。在它的正门旁边开了一个小门,门高l.5米,宽40厘米。一个成年人进去,不仅要侧身,而且还得弯腰,否则就是碰了壁也无法入内。所有新来的学生,都会由他的老师带领着来到这个小门,弯腰进出一次。老师教育大家说:大门当然进出方便,但是很多时候,我们要进入的地方没有很宽阔的大门,或者,有的大门不是随便可以进入的。这个时候,只有学会了弯腰侧身、暂时放下尊贵和体面的人才能进入,否则你只能被挡在门外。这是佛家的哲理,其实也是人生的哲学。

④你留意过大雪过后的雪松吗?它的树枝因积雪而压弯了腰,低垂下来。第一次看的时候我曾这样想,不是“大雪压青松,青松挺且直”吗?雪压青松也弯腰,岂不愧对先人的赞誉?思绪一闪而过,眼球早被另一雪景吸引。人行道上的梧桐,虽然它们也琼枝玉叶,高低错落,交叉穿梭,但却有很多枝条因不能弯腰而被雪压断了。

⑤原来雪松之所以在大雪的重压之下弯下腰来,为的是不让自己折断,为的是往后的日子继续挺拔向上。原来,弯腰并非就是软弱,而是一份弹性,一种韧性,是生命的一种更深刻的睿智!蔺相如“先国家之急而后私仇”,诸葛亮“鞠躬尽瘁死而后已”,鲁迅“俯首甘为孺子牛”。这些弯腰成就了他们,让他们从凡人走向圣贤。

⑥需要指出的是,弯腰并非毫无原则的妥协,而是一个人走向成熟的标志。对于外界的压力,我们要尽可能地去承受,在承受不住的时候,不妨弯一下腰。是的,有时弯腰就如同蝉蜕。那不是倒下,而是通过自身的改变,来创造一个全新的自我。

小题1:根据全文内容,概括本文的主要观点。(2分)

小题2:文章第③段运用了哪些论证方法?有什么作用?(3分)

小题3:指出下列说法中的错误,并简述理由。(5分)

⑴文章第④段列举雪松后,还要举梧桐的例子,重复多余。(3分)

⑵文章第⑥段画线句子与文章的主要观点相悖(矛盾),应该删去。(2分)

阅读理解

Stay-at home careers are the preferred way to earn a living for those who like to set their own hours and be their own boss, mothers of young children, and those who like to avoid office politics. There are plenty of opportunities to earn from home. Even if you earn little first, the quality of life should make up for the loss of income. Take a look at the following choices for home-birds:

Online tutoring—You can earn anything from Rs 8,000 to 30,000 a month if you are a qualified teacher with computer and communication skills. The subjects in demand these days are math, English, physics, chemistry and biology. You can either teach part-time (4 hours) or full-time (9 hours).

Freelance writers—You have a good writing skills but don’t have time to work a nine-to-five job? You can still use your skills and earn a good amount of money. Many companies these days require good writers. One can earn up to Rs 8,000 to 50,000.

Online-traders—Earn a lot of money by share trading. Just clear the NCFM (Capital Market) exam and you can start trading. You can bring in Rs 10,000 to 1000,000 per month.

Designers—If you have the creative skills and a creative gift, try becoming a designer. Designers are required in different fields. One can earn nearly Rs 8,000 to 20,000 per month.

小题1:According to the passage, those who likes stay-at-home careers ________.

A.perhaps can’t earn as much as those working in an office

B.needn’t do anything at home and earns a lot

C.can’t be mothers who have children to look after

D.are often worried about office politics小题2: If you want to be an online-trader, you will have to ________.

A.be more than 18 years old

B.pass a kind of exam

C.have good writing skills

D.have creative skills and a creative gift小题3:The passage is written mainly to ________.

A.sell products to readers

B.join the author’s company

C.give some advice to readers

D.get help from readers