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问题 填空题
设[x]表示不超过x的最大整数，如[2]=2，[
5
4
]=1，对于给定的n∈N*，定义Cnx=
n(n-1)…(n-[x]+1)
x(x-1)…(x-[x]+1)
，x∈[1，+∞），则C
3
28
=______；当x∈[2，3）时，函数Cx8的值域是______．
答案

当x=

3
2
时，[
3
2
]=1，
C
3
2
8
=
8
3
2
=
16
3
；

当x∈[2，3）时，[x]=2，Cxn=

n(n-1)
x(x-1)
，

Cx8=

8×7
x(x-1)
=
56
x(x-1)
．

又∵当x∈[2，3）时，f（x）=x（x-1）∈[2，6），

∴

56
x(x-1)
∈（
28
3
，28），∴Cx8∈（
28
3
，28]．

故答案为：

16
3
，（
28
3
，28]．

阅读理解与欣赏

阅读下文，完成文后各题。

晏子辞千金

晏子方食，景公使者至，分食食之，使者不饱，晏子亦不饱。使者反，言之公。公曰：“嘻！晏子之家若是之贫也！寡人不知，是寡人之过也。”使吏致千金与市租，请以奉宾客。晏子辞。三致之，终再拜而辞曰：“婴之家不贫，以君之赐，泽覆三族，延及交游，以振百姓，君之赐也厚矣，婴之家不贫也。婴闻之，夫厚取之君而施之民，是臣代君君民也，忠臣不为也；厚取之君而不施于民，是为筐箧之藏也，仁人不为也；进取于君退得罪于士身死而财迁于它人是为宰藏也智者不为也。夫十总之布，一豆之食，足于中，免矣。”

景公谓晏子曰：“昔吾先君桓公以书社五百封管仲，不辞而受，子辞之何也？”晏子曰：“婴闻之，圣人千虑，必有一失，愚人千虑，必有一得。意者管仲之失而婴之得者耶？故再拜而不敢受命。”

注：书社：古代二十五家为一社，把社内人姓名写在簿册上，叫书社。后借指按社登记入册的人口和土地。

小题1:对下列各句中加点词的解释，不正确的一项是                            （    ）

A．使者反 反：通“返”，返回。

B．晏子之家若是之贫也 若：像。

C．晏子辞辞：告辞。

D．是臣代君君民也 君：名词做动词，统治。小题2:下列各组句子中，加点词的意义和用法相同的一项是                      （    ）

A． 请以奉宾客

B． 厚取之君而不施于民

阙秦以利晋，唯君图之 朝济而夕设版焉

C． 是寡人之过也

D． 夫十总之布，一豆之食 三致之，终再拜而辞曰            微夫人之力不及此

小题3:下面的说法不合文意的一项是                                        （   ）

A．晏婴认为忠臣不应该越权做“代君君民”这种收买人心的事。

B．晏婴认为“筐箧之藏”是为个人得利，不顾百姓的不仁行为。

C．晏婴认为有饭吃，有衣服穿，心里满足就可以免于一切忧患。

D．晏婴把自己比作愚人，把管仲比作圣人，认为愚人要比圣人强。
查看答案
阅读理解

阅读理解。

     Compassion is a desire within us to help others. With effort, we can translate compassion into action. An

experience last weekend showed me this is true. I work part-time in a supermarket across from a building for

the elderly. These old people are our main cus- tomers,and it's not hard to lose patience over their slowness.

But last Sunday, one aged gentleman appeared to teach me a valuable les- son. This untidy man walked up to

my register (收款机 ) with a box of biscuits. He said he was out of cash (现金), had just moved into his

room, and had nothing in his cupboards. He asked if we could let him have the food on trust. He promised to

repay

me the next day.

     I couldn't help staring at him. I wondered what kind of person he had been ten or twenty years before,

and what he would be like if luck had gone his way. I had a hurt in my heart for this kind of hu- man soul, all

alone in the world. I told him that I was sorry, but store rules didn't allow me to do so. I felt stupid and unkind

saying this, but I valued my job.

     Just then, another man, standing behind the first, spoke up. If anything, he looked more pitiable."Charge it

to me," was all he said.

     What I had been feeling was pity. Pity is soft and safe and easy. Compassion, on the other hand, is caring

in action. I thanked the second man but told him that was not allowed either. Then I reached into my pocket

and paid for the biscuits myself. I reached into my pocket because these two men had reached into my heart

and taught me compassion.

1. The aged gentleman who wanted to buy the biscuits___.

A. promised to obey the store rules

B. forgot to take any money with him

C. hoped to have the food first and pay later

D. could not afford anything more expensive

2. Which of the following best describes the old gentleman?

A. Kind and lucky.

B. Poor and lonely.

C. Friendly and helpful.

D. Hurt and disappointed.

3. The writer acted upon the store rules because____.

A. he wanted to keep his present job

B. he felt no pity for the old gentleman

C. he considered the old man dishonest

D. he expected someone else to pay for the old man

4. What does the writer learn from his experience?

A. Wealth is more important than anything else.

B. Helping others is easier said than done.

C. Experience is better gained through practice.

D. Obeying the rules means more than compassion.

查看答案