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《1.1 集合》一课一练2

《1.1 集合》一课一练2
《1.1 集合》一课一练2

1.1 集合

一、选择题

1、下列给出的对象中,能表示集合的是( )

A 、一切很大的数

B 、无限接近零的数

C 、聪明的人

D 、方程22-=x 的实数根

2、给出下列命题:

i)N 中最小的元素是1;

ii)若N a ∈,则N a ?-;

iii) 若N a ∈,N b ∈,则a+b 的最小值是2。

其中所有正确命题的个数为( )

A 、0

B 、1

C 、2

D 、3

3、由4,2,2a a -组成一个集合A ,A 中含有3个元素,则实数a 的取值可以是(

A 、1

B 、-2

C 、6

D 、2

4、下列集合表示法正确的是( )

A.{1,2,2}

B.{全体实数}

C.{有理数}

D.不等式052>-x 的解集为{052>-x }

5、设A={a},则下列各式正确的是( )

A 、A ∈0

B 、A a ?

C 、A a ∈

D 、a=A

6、集合{5|<∈+x N x }的另一种表示法是( )

A 、{0,1,2,3,4}

B 、{1,2,3,4}

C 、{0,1,2,3,4,5}

D 、{1,2,3,4,5}

7、由大于-3且小于11的偶数所组成的集合是( )

A 、{x|-3

B 、{x|-3

C 、{x|-3

D 、{x|-3

二、填空题

8、已知集合A={2,4,x x -2},若A ∈6,则x=________________

9、在平面直角坐标系内第二象限的点组成的集合为_______________

10、方程0652=+-x x 的解集可表示为_____________________

11、方程0)3)(2()1(2=-+-x x x 的解集中含有_________个元素。

12、集合{41|<<-∈x N x }用列举法表示为_________________

三、解答题

13、设集合A={(x,y)|x+y=6,N y N x ∈∈,} ,使用列举法表示集合A 。

14、关于x 的方程)0(02≠=++a c bx ax ,当a,b,c 分别满足什么条件时解集为空集、含一个集合、含两个集合?

15、已知集合A={01682

=+-x kx }只有一个元素,试求实数k 的值,并用列举法表示集合A 。

参考答案

一、选择题

1、D 2。A 3。C 4。C 5。C 6。B 7。D

二、填空题

8、3或-2 9、}00|),{(〉且y x y x < 10、{2,3} 11、3 12、{0,1,2,3}

三、解答题

13、解:集合A 中的元素是点,点的横坐标, 纵坐标都是自然数, 且满足条件x+y=6。所以用列举法表示为:A={(0,6),(1,5),(2,4),(3,3),(4,2),(5,1),(6,0)}。

14、解:当时,方程的解集为空集042<-ac b ,

当042=-ac b 时,方程的解集含一个元素;

当元素时,方程的解集含两个〉042

ac b -

15、解:当k=0 时,原方程变为-8x+16=0,x=2,此时集合A={2} ;

当0≠k 时要使一元二次方程01682=+-x kx 有一个实根,需06464=-=?k ,即k=1。此时方程的解为421==x x 。集合A={4},满足题意。

综上所述,使数k 的值为0或1当k=0时,集合A={2};当k=1时,集合A={4}.

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L e s s o n19T i r e d a n d t h i r s t y 一、听力 Mother: _________’s the matter, children? Girl: We’re tired… Boy: …and _______,Mum. Mother: Sit down ________. Boy Girl 三. 1.__________the matter with you? A.What B.How C.What’s 2.The door isn’t shut.It is ___________. A .open B.tall C.heavy 3.Look________the fat man. A.in B.at C. into 4.I want __________ice cream. A.a B.an C.the

5.__________apples are very nice. A.That B.This C.These 6.---Are you ________now?—Yes,I am.Thank you A.all right B.right C./ 7. There are two birds in the tree. I can’t them . A. look B. look at C. watch D. find 8. There 5 apples , but I bananas.

4. Can you play ( the, a, / ) tennis with me ? 七、阅读短文。 根据短文内容,回答下列问题。 Mr. Brown lives near Mr. Smith’s house and they are good friends. Mr. Smith and some other people often call him. “Mr. Going To Do”. Do you know why? Mr. Brown always says he is going to do something, but he never does it. Every Saturday Mr. Brown goes to talk with Mr. Smith. “(1) I’m going to wash my car tomorrow.”Mr. Smith usually says, “Are you, Mr. Brown?” He knows his friend is not going to clean his car. Then he says, “Well, excuse me. I’m going to do some work in my home.” And so he does. Mr. and Mrs. Smith ” 1. Smith’s 3. 4. 2. two, class_____________________________________________________________________ 3. his, are, these, pictures_____________________________________________________________________ 4. color, dress, is, Kate’s, what_____________________________________________________________________ 5. that, is, who, old, woman_____________________________________________________________________ 九、作文。

新概念英语第二册课后练习答案lesson29

Lesson 29 练习答案Key to written exercises 1.关键句型练习答案 A What happened:flew(1.6);landed(1.8);landed(1.9);wanted(1.10);did not take(1.11) What has happened:has bought(1.1);has begun(1.1);has flown(11.7-8);has just refused(11.9-10) 2.难点练习答案 1 bring 2 fetch 3 refused 4 deny 5 Very 3.多项选择题答案 1. b 根据课文第3-4行The most surprising thing about it, however, is that it can land anywhere…可以判断只有b.是正确的,it doesn’t need a runway to land on(它着陆时不需要跑道)是课文所暗示的这个飞机的令人惊奇之处。其他3个选择都不能表明这飞机的令人惊奇之处。 2. c 根据课文第7-8行…Captain Fawcett h as flown passengers to many unusual places 和最后一行。。。but Captain Fawcett did not take him because the trip was too dangerous 可以看出c. will fly passengers anywhere except very dangerous places(将载运旅客去任何地方,除了非常危险的地方)是正确的结论,其他3个选择都过于片面和绝对了。 3. c a. who is 句中修饰的词是物而不是人,因此不能用who 做关系代词; b. whom is : whom做定语从句中的宾语,而本句需要的是做主语的关系代词; d. whose is 不合语法 只有c. which is 是正确的,which 既可以做定语从句的主语,又可做宾语。 4. b 这是一个带形容词比较级的句子,已经有连词than. a. most surprising 和 d. most surprised 都是最高级,不合乎语法;d. more surprised 虽然是比较级,但surprised(感到惊奇)主语应该是人,而本句的主语是it,故不能选d; 只有b. more surprising(更令人惊奇的)最合乎语法和题目意思。 5. d

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