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人教A版高考数学必修一课时达标检测(5) 补集及综合应用

课时达标检测（五）补集及综合应用

一、选择题

1．设全集U＝{1,2,3,4,5}，A＝{1,3,5}，B＝{2,4,5}，则(?U A)∩(?U B)＝( )

A．?B．{4}

C．{1,5} D．{2,5}

解析：选A ∵?U A＝{2,4}，?U B＝{1,3}，

∴(?U A)∩(?U B)＝?，故选A.

2．若全集U＝{1,2,3,4,5}，?U P＝{4,5}，则集合P可以是( )

A．{x∈N*||x|＜4}

B．{x∈N*|x＜6}

C．{x∈N*|x2≤16}

D．{x∈N*|x3≤16}

解析：选A 由题意得P＝{1,2,3}．又因为选项A化简得{1,2,3}，选项B化简得{1,2,3,4,5}，选项C化简得{1,2,3,4}，选项D化简得{1,2}，故选A.

3．设集合U＝{－1,1,2,3}，M＝{x|x2－5x＋p＝0}，若?U M＝{－1,1}，则实数p的值为( )

A．－6 B．－4

C．4 D．6

解析：选D 由已知可得M＝{2,3}，则2,3是方程x2－5x＋p＝0的两根，则p＝6，故选D.

4．已知U为全集，集合M，N是U的子集．若M∩N＝N，则( )

A．(?U M)?(?U N)

B．M?(?U N)

C．(?U M)?(?U N)

D．M?(?U N)

解析：选C ∵M∩N＝N，∴N?M，

∴(?U M)?(?U N)．

5．已知全集U＝{1,2,3,4,5}，集合A＝{x|x2－3x＋2＝0}，B＝{x|x＝2a，a∈A}，则集合?U(A∪B)中元素的个数为( )

A．1 B．2

C．3 D．4

解析：选B A＝{1,2}，B＝{x|x＝2a，a∈A}＝{2,4}，

∴A∪B＝{1,2,4}，∴?U(A∪B)＝{3,5}，故选B.

二、填空题

6．设全集U ＝R ，A ＝{x|x>0}，B ＝{x|x>1}，则A∩(?U B)＝________.

解析：∵U ＝R ，B ＝{x|x>1}，

∴?U B ＝{x|x≤1}．

又∵A ＝{x|x>0}，

∴A∩(?U B)＝{x|x>0}∩{x|x≤1}＝{x|0

答案：{x|0

7．已知集合A ＝{x|x

又∵A ∪(?R B)＝R ，A ＝{x|x

观察?R B 与A 在数轴上表示的区间，如图所示：

可得当a≥2时，A ∪(?R B)＝R.

答案：{a|a≥2}

8．全集U ＝R ，A ＝{x|x<－3或x≥2}，B ＝{x|－1

解析：如图所示，

由图可知C ??U A ，且C ?B ，

∴C ＝B∩(?U A)．

答案：B∩(?U A)

三、解答题

9．设全集U ＝R ，M ＝{x|3a ＜x ＜2a ＋5}，P ＝{x|－2≤x≤1}，若

?U P ，求实数a 的取值范围．

解：?U P ＝{x|x ＜－2或x ＞1}， ∵?U P ， ∴分M ＝?，M≠?，两种情况讨论．

(1)M≠?时，如图可得

???? 3a ＜2a ＋5，2a ＋5≤－2，或????? 3a ＜2a ＋5，3a≥1，

∴a≤－72，或13

≤a＜5. (2)M ＝?时，

应有3a≥2a＋5?a≥5.

综上可知，a≤－72，或a≥13

. 10．已知集合A ＝{x|2≤x<7}，B ＝{x|3

(1)求A ∪B ，(?R A)∩B；

(2)若A∩C≠?，求a 的取值范围．

解：(1)因为A ＝{x|2≤x<7}，B ＝{x|3

所以A ∪B ＝{x|2≤x<10}．

因为A ＝{x|2≤x<7}，

所以?R A ＝{x|x<2，或x≥7}，

则(?R A)∩B＝{x|7≤x<10}．

(2)因为A ＝{x|2≤x<7}，C ＝{x|x2，所以a 的取值范围为{a|a>2}．

11．设全集I ＝R ，已知集合M ＝{x|(x ＋3)2≤0}，N ＝{x|x 2＋x －6＝0}．

(1)求(?I M)∩N；

(2)记集合A ＝(?I M)∩N，已知集合B ＝{x|a －1≤x≤5－a ，a ∈R}，若B ∪A ＝A ，求实数a 的取值范围．解：(1)∵M ＝{x|(x ＋3)2≤0}＝{－3}，

N ＝{x|x 2＋x －6＝0}＝{－3,2}，

∴?I M ＝{x|x ∈R 且x≠－3}，

∴(?I M)∩N＝{2}．

(2)A ＝(?I M)∩N＝{2}，

∵A ∪B ＝A ，

∴B ?A ，

∴B ＝?或B ＝{2}，

当B ＝?时，a －1>5－a ，

∴a>3；

当B ＝{2}时，????? a －1＝2，5－a ＝2，

解得a ＝3，

综上所述，所求a 的取值范围为{a|a≥3}．

12．已知全集U＝{小于10的正整数}，A?U，B?U，且(?U A)∩B＝{1,8}，A∩B＝{2,3}，(?U A)∩(?U B)＝{4,6,9}．

(1)求集合A与B；

(2)求(?R U)∪[?Z(A∩B)](其中R为实数集，Z为整数集)．

解：由(?U A)∩B＝{1,8}，知1∈B,8∈B；

由(?U A)∩(?U B)＝{4,6,9}，

知4,6,9?A，且4,6,9?B；

由A∩B＝{2,3}，知2,3是集合A与B的公共元素．

因为U＝{1,2,3,4,5,6,7,8,9}，

所以5∈A,7∈A.

画出Venn图，如图所示．

(1)由图可知A＝{2,3,5,7}，B＝{1,2,3,8}．

(2)(?R U)∪[?Z(A∩B)]＝{x|x∈R，且x≠2，x≠3}．

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综合测试题二、单项选择 21. I was walking along the Qian tang River when I noticed the beautiful sun setting. I snapped a few shots(抓拍) and notice UFO in the picture. A. an B. a C. / D. the 22. The terrible weather the difficulty of the mudslide rescue in Gansu province. A. added to B. added up C. added up to D. added in 23. The security guard was so angry because no one his opinion. A. kept B. insisted on C. shared D. agreed 24. The owner asked his SUV. A. how he could park B. how could he park C. where he could park D. where could he park 25.—How can a simple meal like this cost so much? —We have in your bill the cost of the teapot you broke just. A. increased B. included C. cut D. charged 26. I feel silly in these clothes. Everyone will me. A. worry about B. make fun of C. get rid of D. take interest in 27. My plane at 8:30 am, so I home at 8:00 tomorrow morning. A. leaves; am leaving B. is left; am leaving C. is leaving; have left D. leaves; leave 28. —Oh, it’s you, Steve! I you. —No surprising. I’ve just had my hair cut. A. don’t recognize B. haven’t recognized C. didn’t recognize D. hadn’t recognized 29. It is not such an interesting magazine I thought. A. as B. that C. which D. / 30. His leg got in the close game yesterday.

人教版高中英语必修一上学期高1期末考试及答案.docx

高中英语学习材料 ***鼎尚图文理制作*** 苍山县2008－2009学年度上学期期末教学质量检测高一英语2009.01 第Ⅰ卷(共105分) 注意事项： 1.答第I卷前，考生务必将自己的姓名、准考证号、考试科目涂写在答题卡上。 2.每小题选出答案后，用2B 铅笔把答题卡上对应题目的答案标号涂黑。如需改动，用橡皮擦干净后，再涂其他答案标号。不能答在试卷上。第一部分听力(共两节，满分30 分)（略）第二部分：英语知识运用(共两节，满分45 分) 第一节：语法和词汇知识(共15 小题；每小题1 分，满分15 分) 从A、B、C、D 四个选项中，选出可以填入空白处的最佳选项，并在答题卡上将该项涂黑。 21. Wouldn’t it be ______ wonderful world if all nations are in ______ peace with another? A. the; 不填 B. a; 不填 C. the; the D. a; a 22. The lake in my hometown is so seriously polluted that all the living things died ______ gradually. A. away B. off C. down D. out 23. It was such a ______to hear that all the earthquake victims have been taken good care of in Sichuan. A. mercy B. laughter C. relief D. loss 24. My elder sister always keeps candles in her bedroom ______ she can study if there is a power failure. A. even if B. in case C. so that D. as if 25. —What’s the noise? —Oh, I forgot to tell you. The new machine ______. A. is being tested B. will be tested C. has been tested D. was tested 26. —Look at my new tie, please! What do you think of it? —______, it doesn’t match your suit. A. What’s more B. To be honest C. On the other hand D. in other words 27. Old Smith has lived in the neighborhood for many years, so he is ______ with the people here.

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