第三章《二次根式》单元测试题

第三章《二次根式》单元测试题
第三章《二次根式》单元测试题

九年级上学期数学测试题(二次根式)

班级________姓名_______成绩________

一、 选择题:(每题3分,共30分) 1、在15,

6

1

,211,40中最简二次根式的个数是………………( )

A .1个

B .2个

C .3个

D .4个

2、下列各组二次根式中是同类二次根式的是………………( )

A .2112与

B .2718与

C .313与

D .5445与

3、下列各式正确的是………………( )

A .a a =2

B .a a ±=2

C .a a =2

D .22a a = 4、32-的一个有理化因式是………………( )

A .3

B .32-

C .32+

D .32+- 5、若1<x <2,则()2

13-+

-x x 的值为………………( )

A .2x -4

B .-2

C .4-2x

D .2

6、(10与(29乘积的结果是………………( )。

A 、

B 、2

C 、-

D 、-27、下列二次根式中,可以合并的是………………( ) A .23a a a 和

B .232a a 和

C .a

a a a 132

和 D .2423a a 和 8、如果1122=+-+a a a ,那么a 的取值范围是…………( )

A .0=a

B .1=a

C .1≤a

D .10==a a 或

9、若化简|1-x|-

2x-5,则x 的取值范围是………( )

A .x 为任意实数

B .1≤x≤4

C .x≥1

D .x <4

10、已知三角形三边为a 、b 、c ,其中a 、b 两边满足0836122=-++-b a a ,那么这

个三角形的最大边c 的取值范围是…………………( )

A .8>c

B .148<

C .86<

D .142<

1、当x_________x __________时,式子

3

1

-x 有意义。

2、36的算术平方根是 。请写出两个与________。

3 2 =____________,当a≥0=_____________。

4,则x=__________,y=____________。

5)2)=__________-

6、已知xy <0= ;比较大小:-

7

21_________-

3

41。

7、最简二次根式b a 34+与162++-b b a 是同类二次根式,则a = ,b = . 8、已知5的整数部分是a ,小数部分是b ,则b

a 1

-的值为__________。

9、把二次根式__________。

10==请你将发现的规律用含自然数n (n ≥1)的等式表示出来______________________。 三、解答题

1、计算下列各式:(每题4分,共16分)

(1

+

(2)22)25()25(--+

(3)((2009

2010

22 (4)

2、已知:实数a ,b 在数轴上的位置如图所示,(5分)

a b -。

3、已知

(4分) (1)a 2-ab+b 2 (2)a 2-b 2

4

、已知1x =,求2

23x x --的值。(4分)

5、若x ,y 为实数,且y =x 41-+14-x +21

,求x

y y x ++2-x y y x +-2的值。(5分)

a b

6、如图所示,面积为48cm2的正方形四个角是面积为3cm2的小正方形,现将四个角前剪掉,制作一个无盖的长方体盒子,求这个长方体的底面边长和高分别是多少(保留根号)(5分)

7(6分)

8、已知m(5分)

能力拓展(每题10分,共20分)

1

m 、n ,使22m n a +=

且mn =

则将a ±222m n mn +±,即变成2()m n ±

化简。例如,5±

32++

222++,

==请仿照上例解下列问题:

(1

(2

2、在矩形ABCD 中,,,AB a BC b M ==是BC 的中点,DE AM ⊥,垂足为E 。 (1) 如图①,求DE 的长(用a ,b 表示);

(2) 如图②,若垂足E 落在点M 或AM 的延长线上,结论是否与(1)相同?

(2)

(1)

二次根式提高练习题(含答案)

一.计算题: 1. (235+-)(235--); 2. 1145 -- 7 114--7 32+ ; 3.(a 2m n -m ab mn +m n n m ) ÷a 2b 2m n ; 4.(a +b a ab b +-)÷(b ab a ++ a a b b --ab b a +) (a ≠b ). 二.求值: 1.已知x = 2 323-+,y = 2 32 3+-,求 322342 3 2y x y x y x xy x ++-的

值. 2.当x =1- 2 时,求 2 2 2 2 a x x a x x +-++ 2 2 2 22 2a x x x a x x +-+-+221 a x +的值. 三.解答题: 1.计算(2 5+1)(211 ++ 3 21++431 ++… +100 991 +). 2.若x ,y 为实数,且y = x 41-+14-x +21 .求

x y y x ++2- x y y x +-2的值. 计算题: 1、【提示】将35-看成一个整体,先用平方差公式,再用完全平方公式. 【解】原式=(35-)2 -2)2(=5-215+3-2=6-215. 2、【提示】先分别分母有理化,再合并同类二次根式. 【解】原式=1116)114(5-+-7 11) 711(4-+- 79) 73(2--=4+ 11-11- 7-3+ 7=1. 3、【提示】先将除法转化为乘法,再用乘法分配律展开,最后合并同类二次根式. 【解】原式=(a 2 m n -m ab mn +

m n n m )·2 21b a n m =2 1b n m m n ?-mab 1n m m n ? + 2 2b ma n n m n m ? =21b -ab 1+221b a =2221 b a ab a +-. 4、【提示】本题应先将两个括号内的分式分别通分,然后分解因式并约分. 【解】原式=b a a b b ab a +-++÷) )(() )(()()(b a b a ab b a b a b a b b b a a a -+-+-+-- = b a b a ++÷) )((2 222b a b a ab b a b ab b ab a a -++---- =

高一英语必修3 Unit3单元测试题及答案

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Disappointing B. Disappointed C. Disappoint D. Disappointment ( )14. A fter the disaster, people’s _____ got thinner. A. patience B. temper C. mind D. anger ( )15. Y ou should _____ your manner in the public A. notice B. mind C. watch D. look after 第二部分:完形填空(共20小题;每小题1.5分,满分30分) As a child, I was truly afraid of the dark and of getting lost; these fears were very real and caused me some uncomfortable moments. Maybe it was the strange 16 things looked and sounded in my familiar room at night that 17 me so much. There was never total 18 , but a streetlight or passing car lights 19 clothes hung over a chair take on the 20 of a wild animal. Out of the corner of my 21 , I saw the curtains seem to move when there was no 22 . A tiny sound in the floor would seem a hundred times louder than in the daylight. My 23 run wild, and my heart would beat fast. I would 24 very still so that the “enemy” would not discover me. Another of my childhood fears was that I would get lost, 25 on the way home from school. Every morning I got on the school bus right near my home—that was no 26 . After school, 27 , when all the buses were 28 up along the street, I was afraid that I’d get on the wrong one and be taken to some 29 neighborhood. On school or fami ly trips to a park or a museum, I wouldn’t30 the leaders out of my sight. Perhaps one of the worst fears 31 all I had as a child was that of not being liked or 32 by others. Being popular was so important to me 33 , and the fear of not being liked was a 34 one. One of the processes of growing up is being able to 35 and overcome our fears. Understanding the things that frightened us as children helps us achieve greater success later in life. ( )16. A. way B. time C. place D. reason ( )17. A. wounded B. destroyed C. surprised D. frightened ( )18. A. quietness B. darkness C. emptiness D. loneliness ( )19. A. got B. forced C. made D. caused ( )20. 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T he International Date Line is the name for “_____”. A. the beginning of any new time zone B. any point where time changes by one hour C. the point where a new day begins D. the end of any new time zone B Three men traveling on a train began a conversation about the world’s greatest wonders. “In my opinion,” the first man said, “the Egyptian pyramids are the world’s greatest. Although they were

第三章 单元测试题 (2)

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unit3单元测试题

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第三章单元测试题(1)

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中考数学一轮复习提高题专题复习二次根式练习题附解析

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