新人教版九年级上第21章《一元二次方程》基础练习【5套,含答案】

基础知识反馈卡·21.1

时间：10分钟满分：25分

一、选择题(每小题3分，共6分)

1．若(a－1)x2＋bx＋c＝0是关于x的一元二次方程，则( )

A．a≠0 B．a≠1

C．a＝1 D．a≠－1

2．一元二次方程2x2－(m＋1)x＋1＝x(x－1)化成一般形式后二次项的系数为1，一次项的系数为－1，则m的值为( )

A．－1 B．1 C．－2 D．2

二、填空题(每小题4分，共12分)

3．方程(m＋2)x|m|＋3mx＋1＝0是关于x的一元二次方程，则m＝_______________.

4．若关于x的方程mx2＋(m－1)x＋5＝0有一个解为2，则m的值是______．5．把一元二次方程(x－3)2＝5化为一般形式为________________，二次项为________，一次项系数为__________，常数项为________.

三、解答题(共7分)

6．已知关于x的一元二次方程(2m－1)x2＋3mx＋5＝0有一根是x＝－1，求m的值．

时间：10分钟 满分：25分

一、选择题(每小题3分，共6分)

1．用配方法解方程x 2

－23

x －1＝0，正确的配方为( )

A.? ????x －132＝89

B.? ????x －232＝59

C.? ????x －132＋109＝0

D.?

????x －132＝109

2．一元二次方程x 2

＋x ＋14

＝0的根的情况是( )

A ．有两个不等的实数根

B ．有两个相等的实数根

C ．无实数根

D ．无法确定

二、填空题(每小题4分，共12分)

3．方程x 2－4x －12＝0的解x 1＝________，x 2＝________. 4．x 2＋2x －5＝0配方后的方程为____________． 5．用公式法解方程4x 2－12x ＝3，得到x ＝________. 三、解答题(共7分)

6．已知关于x 的一元二次方程x 2－mx －2＝0.

(1)对于任意实数m ，判断此方程根的情况，并说明理由； (2)当m ＝2时，求方程的根．

时间：10分钟满分：25分

一、选择题(每小题3分，共6分)

1．一元二次方程x2＝3x的根是( )

A．x＝3 B．x＝0

C．x1＝0，x2＝3 D．x1＝0，x2＝－3

2．方程4(x－3)2＋x(x－3)＝0的根为( )

A．x＝3 B．x＝12 5

C．x1＝－3，x2＝12

5

D．x1＝3，x2＝

12

5

二、填空题(每小题4分，共12分)

3．方程x2－16＝0的解是____________．

4．如果(m＋n)(m＋n＋5)＝0，则m＋n＝______. 5．方程x(x－1)＝x的解是________．

三、解答题(共7分)

6．解下列一元二次方程：

(1)2x2－8x＝0； (2)x2－3x－4＝0.

时间：10分钟满分：25分

一、选择题(每小题3分，共6分)

1．若x1，x2是一元二次方程x2＋4x＋3＝0的两个根，则x1x2的值是( ) A．4 B．3 C．－4 D．－3

2．如果关于x的一元二次方程x2＋px＋q＝0的两根分别为x1＝2，x2＝1，那么p，q的值分别是( )

A．－3,2 B．3，－2 C．2，－3 D．2,3

二、填空题(每小题4分，共12分)

3．已知一元二次方程的两根之和为7，两根之积为12，则这个方程为____________________．

4．已知方程x2－3x＋m＝0的一个根是1，则它的另一个根是______，m的值是______．

5．已知x1，x2是方程x2－3x－3＝0的两根，不解方程可求得x21＋x22＝________.

三、解答题(共7分)

6．已知关于x的一元二次方程x2＋(2m－3)x＋m2＝0的两个不相等的实数

根α，β满足1

α

＋

1

β

＝1，求m的值．

基础知识反馈卡·21.3

时间：10分钟满分：25分

一、选择题(每小题3分，共9分)

1．某品牌服装原价173元，连续两次降价x%后售价为127元，下面所列方程中正确的是( )

A．173(1＋x%)2＝127 B．173(1－2x%)＝127

C．173(1－x%)2＝127 D．127(1＋x%)2＝173

2．某城市为绿化环境，改善城市容貌，计划经过两年时间，使绿地面积增加44%，这两年平均每年绿地面积的增长率是( )

A．19% B．20% C．21% D．22%

3．一个面积为120 cm2的矩形花圃，它的长比宽多2 m，则花圃的长是( ) A．10 m B．12 m C．13 m D．14 m

二、填空题(每小题4分，共8分)

4．已知一种商品的进价为50元，售价为62元，则卖出8件所获得的利润为__________元．

5．有一个两位数等于其数字之和的4倍，其十位数字比个位数字小2，则这个两位数是________．

三、解答题(共8分)

6．某西瓜经营户以2元/千克的进价购进一批小型西瓜，以3元/千克的价格出售，每天可售出200千克．为了促销，该经营户决定降价销售，经调查发现，这种小型西瓜每降价0.1元/千克，每天可多售出40千克，另外，每天的房租等固定成本共24元，该经营户要想每天赢利200元，应将每千克小型西瓜的售价降低多少元？

参考答案

基础知识反馈卡·21.1

1．B 2.B 3.2 4.－1

2

5．x 2－6x ＋4＝0 x 2 －6 4 6．解：把x ＝－1代入原方程，得

2m －1－3m ＋5＝0，解得m ＝4. 基础知识反馈卡·21.2.1 1．D 2.B 3.6 －2

4．(x ＋1)2

＝6 5.3±2 32

6．解：(1)Δ＝b 2－4ac ＝m 2＋8， ∵对于任意实数m ，m 2≥0， ∴m 2＋8＞0.

∴对于任意的实数m ，方程总有两个不相等的实数根．

(2)当m ＝2时，

原方程变为x 2－2x －2＝0， ∵Δ＝b 2－4ac ＝(－2)2－4×1×(－2)＝12，

∴x ＝2±122

.

解得x 1＝1＋3，x 2＝1－ 3. 基础知识反馈卡·21.2.2 1．C 2.D

3. x ＝±4

4.0或－5

5.0或2 6．(1)x 1＝0，x 2＝4 (2)x 1＝4，x 2＝－1

基础知识反馈卡·*21.2.3 1．B 2.A

3．x 2－7x ＋12＝0(答案不唯一) 4．2 2 5.15

6．解：∵方程有两个不相等的实数根，∴Δ>0.

∴(2m －3)2－4m 2

＞0.解得m ＜34

.

∵1α＋1β＝1，即α＋βαβ＝1. ∴α＋β＝αβ.

又α＋β＝－(2m －3)，αβ＝

m 2.

代入上式，得3－2m ＝m 2. 解得m 1＝－3，m 2＝1.

∵m 2＝1＞3

4

，故舍去．

∴m ＝－3.

基础知识反馈卡·21.3

1．C 2.B 3.B 4.96 5.24 6．解：设每千克小型西瓜的售价降低x 元，

根据题意，得(3－2－

x )·? ??

??200＋x

0.1×40－24＝200，

整理，得50x －25x ＋3＝0， 解得x 1＝0.2，x 2＝0.3.

答：应将每千克小型西瓜的售价降低0.2元或0.3元．

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be patient with sb. 对某人有耐心 It takes tie. 这得花时间/这得慢慢。 be afraid t d / f ding sth. 害怕做某事 pr prnuniatin 发音不好 fall in Ive with ... 爱上 …… bdy language 身势语；肢体语言 the expressin(s) n ne&rsqu;s fae 某人脸上的表情 listen fr the key wrds 留神听关键词 as well 也 the seret t ...…… language learning lt&rsqu;s a piee f ake. It serves yu right. 语言学习 你活该 lk up the wrd in a ditinary take ntes 记笔记 erize sentene patterns d graar exerises 的秘诀 小菜一碟。 在字典中查单词 记忆句型 做语法练习 keep a diary in English Setin B inrease reading speed ake istakes in graar 用英语记日记 提高阅读速度 在语法方面犯错

人教版九年级英语1--6单元练习

Unit1__unit2 1. different(adj. )→__________(adv. )不同地；有区别地 →_________(n. )不同点 2. frustrate(v. )→__________(adj. )令人失望的 →_________(adj. )感到失望的 3. quick(adj. ) →_______(adv. )快地；迅速地 4. pronounce(v. )→_____________(n. )发音 5. fair(adj. )→___(反义词)不公正的；不公平的 6. easy (adj. )→_____(adv. )容易地；简单地 7. friend(n. )→_________(n. )友情；友谊；友爱→_______(adj. )友好的 8. develop(v. )→___________(n. )发育；成长；发展 9. terrify(v. )→_____(adj. )害怕的10. die(v. )→_____(n. )死亡→_____(adj. )死的 11. exact(adj.)→_______(adv.)正；恰恰12. decide(v. )→_______(n. )决心 【品词自测】根据句意用所给词的适当形式填空 ①The boy swam across the river _______. (easy) ②Mr Black ______last Wednesday, and his _______ made Mrs Black very sad. (die) ③It was just a _______ greeting as we went by. (friend) ④I don’t know _______ where she lives. (exact) 1. 犯错；出错make ____ 2. 嘲笑；取笑laugh __ 3. (在词典、参考书等中)查阅look __ 4. 处理；应付deal ____ 5. 尽力做……try one’s ____ 6. 非常害怕的be terrified __ 7. 最后；终于__ the end 8. 做决定；下决心make a _______ 9. 即使；纵然; 尽管____ though 10. 不再；已不no ______ 11. 对……感到自豪t ake pride __ 12. 放弃give _ 13. be afraid to do _________ 14. be angry with ___________ 15. to one’s surprise____________16. pay attention to 1. ——你是怎样学习来准备考试的？——我通过小组活动来学习。 —____ do you study for a test? —I study __ ________ with a group. 2. 大声朗读来练习发音怎么样？ _____ _____ _______ aloud to practice pronunciation 3. 这些话太难听懂了。It’s ___ hard __ understand the voices. 4. 他发现看电影令人沮丧，因为人们说得太快。 He finds ________ ______ __________ because the people speak too quickly. 5. 你以前个子不高，是不是？You ____ __ __ short, ______ ___ ? 6. 我开着卧室的灯睡觉。I go to sleep ____ my bedroom light ___. 7. 在过去的几年里，我的生活发生了很多改变。 My life ___ _______ a lot __ ___ ____ ___ _____. 1 根据句意填入适当的词。 1)He is very ________, because he likes talking and laughing. 2)My father ______ to be a teacher, but now he is a writer. 3)He has _______ a lot. Because he is different from the past. 4)I am not afraid of the _____. I dare to go out. 5)I often send and receive ________ on the Internet. 2 词形填空 1)Most of us learn English by _________(study) our textbooks. 2)Reading aloud can improve our ___________(speak) skills. 3)I am free now. What about __________(go) out for a walk? 4) A good dictionary is ________ (help) to your English-studying. 5)Hearing they will see a moving, the students all got ________ (excite). 6)Don’t speak too ________(quick), we can’t catch you. 3完成句子： 1）该睡觉了。It’s time to . 2）我对画画感兴趣。I drawing. 3）我非常喜欢咖啡，但我一点也不喜欢茶。 I like coffee , but I like tea . 4）她通过制作抽认卡来学习英语。

人教版九年级英语专项练习

初三1~10单元试题 班级________ 学号________ 姓名______________ 一、单项填空 ( )1.The boys are going to have fun ____the picture. A.draw B. to draw C drew D drawing ( )2.I am sorry I took your umbrella _____ . A.because mistake B.with mistake C.by mistake D.by mistakes ( )3.My English teacher was very angry ______Tom . A. at B.about c.with D.on ( )4.His mother is strict _____. A.with him B.with he C.in him D.in he ( )5.When we practice English speaking ,we shouldn’t end up ____in Chinese . A. speak B. speaking C. to speaking D. with speak ( )6.Let’s go swimming if it ____hot tomorrow. A. will be B. would be C. is D. is going to be ( )7._____ you should join an English club. A. Maybe B. May be C. May D. Can ( )8.We should _____each other and _____each other . A.learn ,help B.learn ,help from C. learn from , help D. learn from , help from ( )9.You had better _____off your coat .It’s cold . A. not to take B. don’t take C. not take D. take ( )10.Where_____live before you came here? A.did you used to B. did you use to C. use he to D. he used to ( )11.I always go to sleep _____the light on. A. in B. with C. to D. and ( )12.I ____get up early . A. use to B. used to C. am used to D. was used to ( )13.He _____ his father. A.look like B. is look like C. is like D. looks the same ( )14.Mark ____ go there with us tonight ,but he isn’t very sure about it . A. must B. may C. can D. will ( )15.Although he is only a boy . He knows a lot . A . five year old B ,five-year-old C . five-years-old D . five-year-olds ( )16. ，the holidays are too short . A . To present B . At present C . In present D . About present ( )17.First of all, the teachers must be strict their students . A . at B . in C . for D . with ( )18.Don’t worry .He is to take care of little Betty . A . carefully enough B . careful enough C . enough carful D . enough carefully ( )19.Why didn’t you get your bike ? A . mend B . to mend C . mending D . mended ( )20.My mother make me the flowers . A . watering B . watered C . to water D . water ( )21.The teacher allowed games after class . A . play B . to play C . playing D . played ( )22.He has lived here for 20 years,so he has friends here . A . a lot B . lot of C . a plenty of D . plenty of ( )23.We have worked for three hours .Now let’s stop a rest . A had B have C to have D having ( )24.We had a party having classes last Friday . A . instead B instead of C but D still ( )25.Students slippers when they are at school. A .don’t allow to wear B .are not allowed to wear C .are not allowed D are not allowed wearing ( )26. children in America have little to eat ,and you can really help them if you want . A . Million of B . Two millions C . Millions of D . Two million of ( )27.There were about two people watching the football match yesterday . A . Million of B . million C . Millions of D . Two million of ( )28.Taking a long way before goimg to bed can help you before exams . A . relaxed B . relaxing C .relax D . relaxes ( )29.She may to the park . A . go B .goes C . to go D . going ( )30.She has few friends here . ?