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单元检测卷15

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江苏靖江2009—2010学年高三第一轮复习单元检测卷15
直线与圆试题
一、填空题：
1．原点到直线052yx的距离为________________.
2.若直线1x的倾斜角为，则=_________.
3.已知两条直线2yax和(2)1yax互相垂直，则a等于__________.
4.已知点A(1，2)，B(3，1)，则线段AB的垂直平分线的方程为___________.
5.经过圆0222yxx的圆心C，且与直线x+y=0垂直的直线方程是__________.
6.圆O1: x2+y2-2x=0和圆O2: x2+y2-4y=0的位置关系是__________.
7.直线x－2y＋1＝0关于直线x＝1对称的直线方程是__________________.
8．圆1)3()1(22yx的切线方程是___________________.
9.圆01222xyx关于直线032yx对称的圆的方程是_________________.
10.若)1,2(P为圆25)1(22yx的弦AB的中点，则直线AB的方程是_____________.
11.从圆222210xxyy外一点3,2P向这个圆作两条切线，则两切线夹角的余弦
值为_______________________.
12．在同一坐标系中，表示直线axy与axy正确的是______________.

13.若直线1210lxmy：　与直线231lyx：平行，则m ．
14．已知直线:40lxy与圆22:112Cxy，则C上各点到l的距离的最小
值为_______ ______。
15.已知两圆2210xy和22(1)(3)20xy相交于AB，两点，则直线AB的方程
是 ．
16．圆心为(11)，且与直线4xy相切的圆的方程是___________________.

17．设直线30axy与圆22(1)(2)4xy相交于A、B两点，且弦AB的长为
23
，则a____________．

18．已知直线l过点)1,2(P，且与x轴、y轴的正半轴分别交于BA、两点，O为坐标原点，
则三角形OAB 面积的最小值为 .
二、解答题：

19.在直角坐标系xOy中，以O为圆心的圆与直线：4y3x相切
（1）求圆O的方程
（2）圆O与x轴相交于A、B两点，圆内的动点P使|PA|、|PO|、|PB|成等比数列，

求PAPB的取值范围。
20.设函数3()32fxxx分别在12xx、处取得极小值、极大值.xoy平面上点AB、的坐标
分别为11()xfx（,）、22()xfx（,），该平面上动点P满足•4PAPB,点Q是点P关于直线
2(4)yx
的对称点.求: (I)求点AB、的坐标； (II)求动点Q的轨迹方程.

21、已知m∈R，直线l：2(1)4mxmym和圆C：2284160xyxy。
(1)求直线l斜率的取值范围； (2)直线l能否将圆C分割成弧长的比值为12的两段圆弧? 为
什么?

22.在平面直角坐标系xOy中，已知圆2212320xyx的圆心为Q，过点(02)P，且斜
率为k的直线与圆Q相交于不同的两点AB，． （Ⅰ）求k的取值范围；
(Ⅱ)是否存在常数k, 使得向量OAOB与PQ共线？如果存在, 求k值；如果不存在,请说
明理由.

15.直线与圆试题参考答案
一、填空题：

1. 5 2. 2 3. 1 4. 4x－2y＝5 5. 01yx 6. 相交 7. x＋2y－3＝0

8. x＝0 9. 2)2()3(22yx 10. 03yx 11.35 12.C 13.32 ;
14．2 15.03yx; 16．2)1y()1x(22 ; 17． 0 18． 4 .

二、解答题：

19．解：(1)依题设,圆O的半径r等于原点O到直线34xy的距离,即4213r．

得圆O的方程为224xy．
（2）不妨设1212(0)(0)AxBxxx，，，，．由24x即得(20)(20)AB，，，．
设()Pxy，，由PAPOPB，，成等比数列，得
222222
(2)(2)xyxyxy

，

即 222xy．
所以 PAPB=),2(),2(yxyx=)1(24222yyx

由于点P在圆O内，故222242.xyxy，，由此得0≤21y．0)1(222y
所以PAPB的取值范围为[20)，．
20.解: (Ⅰ)令033)23()(23xxxxf解得11xx或
当1x时,0)(xf, 当11x时,0)(xf ,当1x时,0)(xf
所以,函数在1x处取得极小值,在1x取得极大值,故
1,121xx
,4)1(,0)1(ff

所以, 点A、B的坐标为)4,1(),0,1(BA.
(Ⅱ) 设),(nmp，),(yxQ，4414,1,122nnmnmnmPBPA

21PQk，所以21mx
ny
，又PQ的中点在)4(2xy上，所以4222nxmy

消去nm,得92822yx
21．解：（Ⅰ）直线l的方程可化为22411mmyxmm， 直线l的斜率21mkm，
因为21(1)2mm≤，所以2112mkm≤，当且仅当1m时等号成立．
所以，斜率k的取值范围是1122，．
（Ⅱ）不能．
由（Ⅰ）知l的方程为(4)ykx，其中12k≤．
圆C的圆心为(42)C，，半径2r．
圆心C到直线l的距离221dk．由12k≤，得415d≥，即2rd．

从而可知，若l与圆C相交，则圆C截直线l所得的弦所对的圆心角小于23．
所以l不能将圆C分割成弧长的比值为12的两段弧．

22．解：（Ⅰ）圆的方程可写成22(6)4xy，所以圆心为(60)Q，，过(02)P，且斜率为
k
的
直线方程为2ykx．代入圆方程得22(2)12320xkxx，
整理，得22(1)4(3)360kxkx． ①
直线与圆交于两个不同的点AB，，等价于
2222
[4(3)]436(1)4(86)0kkkk
，

解得304k，即k的取值范围为304，．
（Ⅱ）设1122()()AxyBxy，，，，则1212()OAOBxxyy，，
由方程①，得1224(3)1kxxk ②
又1212()4yykxx． ③
而(02)(60)(62)PQPQ，，，，，．
所以OAOB与PQ共线等价于1212()6()xxyy，

将②③代入上式，解得34k．

由（Ⅰ）知304k，，故没有符合题意的常数k．

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七年级牛津译林版英语第三单元综合检测卷及答案

七年级牛津译林版英语第三单元综合检测卷及答案

七年级英语下学期第三单元综合检测卷〔总分值:100分时间:90分钟〕一、单项选择(每题1分，共15分)( )1 .We go to school on weekdays and go to cinema at weekends.A. /;theB. the; theC. the;/D. /;/( )2. Mrs Green enjoys Beijing opera a lot. She often goes to the .A. schoolB. officeC. restaurantD. theatre( )3.一Is this new car 一 No. is over there, the red one.A. your; MineB. your; MyC. your; MyD. yours; Mine( )4.一Mum is cooking fish in the kitchen. Can you it一 No, I can't. I have a bad cold a runny nose.A. SeeB. soundC. tasteD. smell( )5.一Look at the trousers, Andy. They look like yours. 一No. Mine black and white.A. isB. hasC. haveD. are( )6．He enjoys_______badminton．A．played B．to play C．pl ay D．playing( )7．This town is about two hundred kilometers__________Nanjing．A．far B．far away．C．far away from D．away from( )8．一What shall we do tomorrow 一Why_______to the cinemaA．don't；go B．not go C．don’t going D．not you go( )9．It _______only 20 minutes to the park by bike from my home．A．brings B．takes C．carries D．needs( )10．—Let’s go to the park to play football，shall we —_______It’s getting too late．A．Why not B．Tha t’s all right C．Better not D．Never mind( )11. Hurry up, or you will the early bus.A. forgetB. missC. leaveD. catch( )12. The woman under the tree are mothers. They are old friends.A. Tom and JackyB. Tom’s and Jacky’sC. Tom and Jacky’sD. Tom’s and Jacky( )13 . Xu Beihong is for his paintings of horses.A. freshB. famousC. interestingD. important( )14. is the bus stop from here It’s about five minutes on foot.A.How longB.How farC. How manyD. How often( )15. 一Why not go to the theatre tonight 一 .A. It doesn't matter.B. Thank you.C. Sorry to hear thatD. Sounds great!二、完形填空(每题1分，共10分)A man comes home from work late. His 5-year-old son is 1 for him. “Daddy can you give me $10〞 his son asks. The father is very 2 and says, “ If you want to buy a toy, you can go back to your 3 and go to bed.〞Later, the man 4 maybe he really needs to buy something. The boy doesn't ask for moneyvery 5 . Then the man goes to the little boy's room.“I am just too tired and not very happy. Here is $10，〞 says the man.The little boy 6 up, smiling. “Oh, thank you, Daddy! 〞he says.Then, under his pillow(枕头)he takes out some 7 . Then the man starts to get angry again. “Why do you want more money since you already have some 〞he asks. “8 I didn't have enough, but now I do, 〞 the little boy answers. “Daddy, I have $20 now. Can I 9 an hour of your time Please 10 early tomorrow. I would like to have dinner with you.〞( )1 .A. waiting B. asking C. looking D. working( )2. A. happy B. worried C. angry D. sad( )3. A. room B. school C. shop D. home( ) 4. A. says B. asks C. thinks D. hopes( ) te B. early C. well D. often( ) 6.A.stands B. sits C. looks D. puts( ) 7. A. toys B. books C. food D. money( ) 8. A. Because B. So C. But D. Or( ) 9. A. have B. make C. do D. buy( )10. A. go to work B. come home C. go to bed D. go shopping.三、阅读理解(每题2分，共30分)ALi Lei come from Nanjing. Nanjing is the provincial capital of Jiangsu Province. Many people live and work there. There are many shopping malls in the big city. It’s a very beautiful city. Spring is the best season in Nanjing. It’s warm and sunny. People like to go out to spend their holidays. It’s one of the most beautiful cities in China. There are many interesting places to visit. People can visit the Sun Yat-sen Mausoleum(中山陵), the Confucian Temple(夫子庙)... People can also buy many souvenirs there. People often go to the Confucian Temple in the evening because it is more beautiful than in the daytime. There are different kinds of colourful lights everywhere. People like eating the special snacks there too.( )1. Where is Li Lei fromA. Nanjing.B. Beijing.C. Nanning.D. Liaoning.( )2. What’s the provinc ial capital of Jiangsu ProvinceA. Yangzhou.B. Suzhou.C. Wuxi.D. Nanjing.( )3. There are many shopping mall in the city, aren’t hereA. No, there aren’t.B. Yes. there are.C. No, there are.D. Yes, there aren't.( )4. Why do people often go to the Confucian Temple in the eveningA. Because it’s bigger.B. Because it’s warmer.C. Because it’s more beautiful.D. because it’s less crowded.( )5. What do people often do in Nanjing during their holiday in springA. People often go out to spend their holidays.B. People often stay at home.C. People often go shopping.D. People often read books at home.BIn Sunshine Town if you want to go to the cinema or theatre, look at the following first. Sunshine theatreOpening hours: 11:30 a.m.～8:30 p. m. from Monday to SundayTicket price: Member price: ￥30 Usual price: ￥40 Students: ￥15Telephone*************Sunshine CinemaOpening hours: 9:00 a.m.～8:30 p. m. from Monday to SundayTicket price:￥40 (half price on Tuesday )Telephone**************************Sunshine Modern CinemaOpening hours: 10:30 a.m.～11:30 p. m. from Monday to Friday10:00 a.m.～11:30 p. m. from Saturday to SundayTicket price: Adult: ￥50 Children (under 14): ￥10The old (over 60): ￥20 Children (15～18): ￥20Telephone*************( )6. If you want to enjoy a play in Sunshine Theatre, you can dial(拨号) .A. 010-6699 3834B. 010-6697 3219C. 010-6699 991 7D. 010-6699 6644 ( )7. You need to spend on the ticket in Sunshine Cinema on Tuesday.A.￥40B.￥30C. ￥20D. ￥10( )8. The old pay the same money as the children between 15 and 18 for the ticket in .A. Sunshine Modern CinemaB. Sunshine CinemaC. Sunshine TheatreD. Sunshine Cinema and Sunshine Theatre( )9. It is 9:30 a. m. now. You cm go to .A. Sunshine Modern Cinema and Sunshine CinemaB. Sunshine Modern CinemaC. Sunshine TheatreD. Sunshine Cinema( )10. David is 12. If he goes to Sunshine Modern Cinema with his parents, they should spend .A. ￥100B. ￥110C. ￥120D. ￥130CSome people have a very poor sense of direction. Unluckily, I am one of them. I have visited a place many times but I may still get lost there the next time.When I was a little girl, I never dared to ask strangers the way. And so I used to walk around in circles and hope that by chance I would get to the place I was going to.Now, I am no longer too shy to ask people for directions, but I often receive helpless or even wrong information. So I try to avoid giving people wrong directions. If anyone ever asks me the way somewhere, I would say, “Sorry, I am a stranger here.〞Once on my way to work I was stopped by a man. He asked me if I could tell him the way to the Friendship Building. I gave him my usual reply. But just as I walked on only a few steps. I realized that he had asked the way to my office building. However, I had no time to turn back and look for him. I was rushing to meet with someone at my office and I didn’t want to keep him waiting.When I just got to my office, the secretary(秘书) showed in the man who had asked me for directions. Imagine how embarrassed I was and how surprised he was when we saw each other at the first sight.( )11. The writer always refuses to give people directions because _____________.A. she is a stranger to the cityB. she doesn’t know the peopleC. she has no time to help othersD. she’s afraid of giving wrong direction( )12. A man stopped the writer on the way to _____________.A. sell her somethingB. ask her the timeC. make friends with herD. ask for the direction( )13. The Friendship Building is the place where the writer ______________.A. livesB. studiesC. worksD. teaches( )14. The words “embarrassed〞 in the paragraph means “___________〞.A. 犯难B. 困惑C. 冲动D. 拮据( )15. Which of the following is TRUE according to the passageA. The writer is too shy to give others directions.B. The writer has a very poor sense of direction.C. The writer never got lost when she was young.D. The man was quite nervous when he saw the writer.四、词汇(每题1分，共20分)A.依据句意及首字母、英文或汉语提示完成单词。

人教版数学五年级上册 第二单元《位置》真题检测卷(单元测试)(含答案)

人教版数学五年级上册 第二单元《位置》真题检测卷(单元测试)(含答案)

第二单元位置真题检测卷（单元测试）-小学数学五年级上册人教版一、选择题1．数对（4，6）和（6，6）表示的位置是（）A．同一列B．同一行C．无法确定2．在平面内，确定一个点的位置一般需要的数据个数是（）个。

A．1B．2C．33．李军的座位在第二列第三行，记为（2，3），如果将他往后调三行，应记为（）A．（5，3）B．（2，6）C．（5，6）D．（4，3）4．做操时，莉莉和明明都站在第8行，莉莉在明明的右边第四个位置上．明明的位置用数对（8，8）表示，则莉莉的位置用数对（）表示．A．（4，8）B．（4，4）C．（8，12）D．（12，8）5．小晴在班内位置用数对表示为（5，4），她左边的同桌在班内的位置用书对表示为（）．A．（6，4）B．（4，4）C．（5，3）D．（5，5）6．教室里，聪聪坐在第3列第2行，用数对（3，2）表示，明明坐在聪聪正后方的第一个位置上，明明的位置用数对表示是（）A．（3，3）B．（4，3）C．（3，2）D．（4，1）7．将点（10，8）右移2格后，用数对表示是（）A．（10，10）B．（12，8）C．（8，8）8．图中点A用数对表示是（）。

A．（2，3）B．（3，2）C．（3，4）D．（4，3）二、填空题9．小青坐在教室的第3行、第4列，用(4，3)表示；小明坐在小青的左边，用数对________表示．10．在如图中标出同学的名字．张红的位置（5，3）；李娜的位置（4，6）．用数对表示学生所在的位置．黄燕的位置_____；吴芳的位置_____．11．如图，这是游乐园的一角：（1）如果用（3，2）表示跳跳床的位置，你能用数对表示其他游乐设施的位置吗？请你写出来．跷跷板________摩天轮________碰碰车________（2）秋千在大门以东400m，再往北300m处，请你在图中标出秋千的位置．___12．确定位置时，竖排叫做________，横排叫做________，确定第几列一般从________往________数，确定第几行一般从________往________数。

教科版科学四年级下册第二单元测试题(含答案)

教科版科学四年级下册第二单元测试题(含答案)

第二单元检测卷及答案（时间：60分钟满分：100分）一、填空。

(每空2分,共14分)1. 在一个完整的电路中,小灯泡不发光,说明灯丝中没有( )通过。

2. 电视机使用的电是( )供电,手电筒使用的电是( )供电。

3. ( )是电路中控制电流通断的元件。

4. 1879年，( )用电点亮了世界上第一盏电灯。

5. 形成电流需要具备的两个条件:一是要有( ),二是要有( )。

二、选择。

(每题2分,共30分)1. 要构成一个完整的电路,除了开关、导线、灯泡,还需要( )。

A.电池B.电表C.电笔2. 发现有人触电,周围又没有电闸,你应该( )。

A.用手把人拉开B.用铁棒把电线挑开C.用干木棒把电线挑开3. 家用电灯开关外売的制作材料应选用( )。

A.导体B.绝缘体C.半导体4. 下列提供的材料中,能够组成一个简易电路的是( )。

A.2根导线,1节电池B.2根导线,2节电池,1个开关C.1个小灯泡,1节电池,2根导线,1个开关5. 干电池上标的“+”号,表示( )。

A.正极B.负极C.南极6. 使用电路检测器检测物体的导电性一般要( )。

A.检测一次B.检测两次C.检测三次7. 下列物体属于导体的是( )。

A.铁钉B.塑料尺C.毛衣8. 下列说法,属于安全用电的是( )。

A.用湿手触摸电器和开关B.应用电路检测器检测并排除实验电路中的故障C.移动电器时不用切断电源9. 下列情况最容易使电池报废的是( )。

A.电路断路B.电路短路C.电路中接很多用电器10. 下图电路缺少的是( )。

A.电池B.开关C.导线11. 利用以下( )材料可以制作一个开关。

A.木块、回形针、橡皮B.木块、回形针、图钉C.铁片、回形针、图钉12. 用另外的灯泡、电池、导线等更换电路中的材料看看小灯泡是否能亮,这是( )方法。

A.检测法B.替换法C.观察法13. 下列几种电路中,灯泡不发光的是( )。

A. B. C.14. 原本亮着的小灯泡突然灭了,原因不可能是( )。

人教版数学二年级下册第一单元检测卷-附答案

人教版数学二年级下册第一单元检测卷-附答案

人教版数学二年级下册第一单元检测卷班级：姓名：分数：一、填空题，按要求填一填。

(每空2分，共26分)1．下面是明天小学二(3)班同学喜欢的乐器情况统计表。

(每人只选一种乐器)(1)将二(3)班同学喜欢的乐器人数填入下表。

(2)二(3)班同学喜欢葫芦丝的人数比喜欢钢琴的少()人。

(3)二(3)班喜欢小提琴的人数比喜欢二胡的多()人。

(4)二(3)班一共有()人，如果班主任想选一种乐器作为本班的特色，选()最合适。

2．下面是二(2)班同学喜欢看的电视节目情况。

(1)喜欢看()类电视节目的人数最多。

(2)如果每个代表2人，根据上图把下表填完整。

3、我来当统计员。

(每空1分，共9分)（1）数一数，填一填。

（2）根据统计表回答问题。

()最多，()最少。

(3)五种图形一共有()个。

(4)和的总数比多()个。

二、选择题。

(每题2分，共8分)下面是2022年6月份北京的天气情况。

1.这个月共有()天。

A．28 B．30 C．312．雨天比阴天多()天。

A．6B．4C．123．()的天数最多。

A．阴天B．雨天C．晴天4．根据天气情况，这个月最不适合做的事情是()。

A．晾晒B．植树C．上学三、解决问题。

(1题18分，其余每题15分，共48分)1.下面是小华调查的班上一部分学生的身高记录。

(单位：厘米)134143138136146150149148 135128138137148149143146136128135145147147128152 (1)用画“正”字的方法完成下表。

(2)身高在()厘米的人数最多，身高在()厘米的人数最少。

(3)从统计表中你还能得到什么信息？2.下面是4个同学调查的本班同学的鞋号情况。

(1)把他们统计的结果填入表中。

(2)穿什么鞋码的同学最多？穿什么鞋码的同学最少？(3)马上要进行体操比赛，如果让你去买运动鞋，你会怎么买？为什么？3、下面是小明记录的本班同学最喜欢吃的蔬菜情况。

(1题8分，2题1分，共9分)正正正正正正（1）.把记录的结果填在下表中。